institute of aeronautical engineering · in line with this, faculty of institute of aeronautical...
TRANSCRIPT
COURTESY IARE
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous)
Dundigal Hyderabad -500 043
CIVIL ENGINEERING
TUTORIAL QUESTION BANK
2015 - 2016
Course Name STRUCTURAL ANALYSIS -I
Course Code A40115
Class II B Tech II Semester
Branch Civil Engineering
Year 2015 ndash 2016
Course Faculty Ms K Varsha Reddy Assistant Professor
OBJECTIVES
To meet the challenge of ensuring excellence in engineering education the issue of quality needs to be
addressed debated and taken forward in a systematic manner Accreditation is the principal means of quality assurance in higher education The major emphasis of accreditation process is to measure the
outcomes of the program that is being accredited
In line with this Faculty of Institute of Aeronautical Engineering Hyderabad has taken a lead in incorporating philosophy of outcome based education in the process of problem solving and career
development So all students of the institute should understand the depth and approach of course to be
taught through this question bank which will enhance learnerrsquos learning process
1 To introduce design concept and process of structures
2 To review analysis of statically determinate structures
3 To understand the deformations of structures under loading 4 To introduce flexibility method for analysis of statically indeterminate structures
5 To introduce stiffness method for analysis of statically indeterminate structures
PART ndash A (SHORT ANSWER QUESTIONS)
S No Question Blooms Taxonomy
Level Program Outcome
UNIT ndash I
1 Define static indeterminacy Remember 1
2 Explain different types of indeterminacies Remember 1
3 Explain internal indeterminacy Understanding amp
Remember 1
4 Define Tension Coefficient Understanding amp
Remember 1
5 State Kinematic indeterminacy Understanding amp 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
6 Write different methods for computing deflection of determinate beam Understanding amp
Remember 1
7 Define Internal Stability Understanding amp
Remember 1
8 What are the different types of frames based on stability Understanding amp
Remember 1
9 What are the different types of frames and explain the same with neat diagrams
Understanding amp Remember
1
10 Define External stability Understanding amp
Remember 1
11 Define Degree of Indeterminacy Remember 1
12 What is equilibrium condition Remember 1
13
To find degree of indeterminacy of structures as given below
Remember
1
14
To find degree of indeterminacy of structures as given below
Remember
1
15 Differentiate between method of joints amp method of sections Remember 1
16 Explain a pin-jointed frame with a sketch Remember 1
17 Define a redundant force Remember 1
18 What is a portal frame Remember 1
19 What are the assumptions made in finding out the forces in a frame Remember 1
20 Explain briefly about tension coefficient method Remember 1
UNIT ndash II
1 Define term deflection of a beam Remember 1
2 State conjugate beam theorem Remember 1
3 Write relation between load shear force and bending moment acting on a structure
Understanding amp Remember
1
4 State moment area theorems Understanding amp
Remember 1
5 Define strain energy Understanding amp
Remember 1
6 State the castaglianos theorem Understanding amp
Remember 1
7 A steel rod has a square cross section of 10mm x 10mm and a length of 2M Calculate strain energy when a stress of 400 Mpa is produced by stretching it Take E = 200 Gpa
Analyze and evaluate 12
8 Calculate Strain energy due to shear stress for a member which has a length of 05M 120mm Diameter and a pull of 5KN Take E = 200 Gpa
Analyze and evaluate 12
9 What is the temperature effect on three hinged arches Understanding amp
Remember 1
10 How three hinged arch is different from two hinged arch and explain it Understanding amp 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
11 What are temperature stresses Explain Remember 1
12 Define Force Work energy Remember 1
13 State Eddyrsquos Theorem Remember 1
14 What is degree of static indeterminacy of a three hinged and two hinged arch
Understanding amp Remember
1
15 Give expression for strain energy due to axial force Understanding amp
Remember 1
16 Give expression for strain energy due to bending moment Understanding amp
Remember 1
17 Give expression for strain energy due to shear deformation Understanding amp
Remember 1
18 Define radial shear and normal thrust Remember 1
19 Give the equation for a parabolic arch whose springing is at different levels
Understanding amp Remember
1
20 Define linear arch Understanding amp
Remember 1
UNIT ndash III
1 What are the reaction values for propped cantilever beam when it carries point load
Remember 1
2 Calculate maximum bending moment for a propped cantilever beam which carries a udl of 10Knm for a span of 2m
Analyze and evaluate 1
3 Calculate point of contra flexure for propped cantilever beam has a 4m length carries point load of 20KN at free end
Analyze and evaluate 1
4 Difference between cantilever beam and propped cantilever beam Understanding amp
Remember 1
5 Calculate deflection at mid span for a propped cantilever beam of load 10Knm for a span of 4m
Analyze and evaluate 1
6 What is the effect of sinking of support for fixed beam Understanding amp
Remember 1
7 What is effect of rotation Analyze and evaluate 1
8 Calculate slope and deflection for a fixed beam of load 10Knm for a span of 4m
Analyze and evaluate 1
9 Difference between propped cantilever beam and fixed beam Understanding amp
Remember 1
10 A fixed beam of length 3m is subjected to two point loads 9KN at the middle third point Calculate Bending moment at the fixed end
Analyze and evaluate 12
11 What is a propped cantilever Remember 1
12 What is a Fixed beam Remember 1
13 What are the reaction values for propped cantilever beam when it carries uniformly distributed load
Remember 12
14 What is point of contra flexure Understanding amp
Remember 1
15 Define prop Remember 1
16 What are the reaction values for fixed beam when it carries point load
Understanding amp Remember
12
17 What are the reaction values for fixed beam when it carries uniformly distributed load
Understanding amp Remember
1
18 Define deflection Remember 1
19 Define slope Remember 1
20 Give boundary conditions for a propped cantilever beam Understanding amp 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
UNIT ndash IV
1 State Clapeyronrsquos three moment theorem and write equation also Remember 1
2 What is the effect of sinking of support in Three moment theorem Remember 1
3 Explain Continuous beam with neat diagram Understanding amp
Remember 1
4 Derive Slope deflection equation in continuous beam Understanding amp
Remember 1
5 What is the effect of sinking of support in slope deflection method Understanding amp
Remember 1
6 Define stiffness and relative stiffness of a member with different far end conditions
Understanding amp Remember
1
7 Define Carry over factor Understanding amp
Remember 1
8 Define Distribution factor and its importance at fixed end and simply support end
Understanding amp Remember
1
9 Define Elastic curve Understanding amp
Remember 1
10 Importance of Elastic curves in beams Understanding amp
Remember 1
11 Write down the equilibrium equations used in slope deflection method
Understanding amp Remember
1
12 What is the basic assumption made in slope deflection method Understanding amp
Remember 1
13 What is the moment at a hinged end of a simple beam Understanding amp
Remember 1
14 Write down the slope deflection equation for fixed end support Understanding amp
Remember 1
15 What are the quantities in terms of which the unknown moments are expressed in slope deflection method
Remember 1
16 Say true or false and if false justify your answer ldquoslope deflection method is a force methodrdquo
Understanding amp Remember
1
17 What are the reasons for sway in portal frames Understanding amp
Remember 1
18 What are the sign conventions used in slope deflection method Remember 1
19 State the limitations of slope deflection method Understanding amp
Remember 1
20 Write the fixed end moments for a beam carrying a central clockwise moment
Remember 1
UNIT ndash V Understanding amp Remember
1 Explain the term ldquoFocal Lengthrdquo Understanding amp
Remember 1
2 Define Influence Line Understanding amp
Remember 1
3 List out the uses of Influence lines Understanding amp
Remember 1
4 State Muller Breslau‟s Principle Understanding amp
Remember 1
5 Where do you get rolling loads in practice Understanding amp
Remember 1
6 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
7 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
8 What do you understand by the term reversal of stresses Understanding amp
Remember 1
9 State the location of maximum shear force in a simple beam with any kind of loading
Understanding amp Remember
1
10 What is the absolute maximum bending moment due to a moving udl longer
Understanding amp Remember
1
11 State Maxwell-Betti‟s theorem Understanding amp
Remember 1
12 What is meant by maximum shear force diagram Understanding amp
Remember 1
13 State the location of maximum shear force in a simple beam wit h any kind of loading
Understanding amp Remember
1
14 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
15 Name the type of rolling loads for which the absolute maximum bending moment occurs at the mid span of a beam
Understanding amp Remember
1
16 Where do you get rolling loads in practice Understanding amp
Remember 1
17 What is the absolute maximum bending moment due to a moving udl longer than the span of a simply supported beam
Understanding amp Remember
1
18 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
19 Draw influence lines for support reactions in a simply supported beam Understanding amp
Remember 1
20 What do you understand by an influence line for bending moment Understanding amp
Remember 1
PART ndash B (PROBLEM SOLVING AND CRITICAL THINKING QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 Differentiate between pin-jointed and rigid jointed plane frames Understanding amp Analyze
12
2 Using method of Tension Coefficient analysis determine the forces in the members of the plane truss shown in fig
Analyze and evaluate
1234
3 Fig shows the plan of a tripod the feet P Q R being in the horizontal plan and the apex S being 4m above the plane Horizontal loads of 125kN and 200kN are applied at D as shown Find the forces in all the members assuming that all the joints are pin joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
4 Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members
Analyze and evaluate
1234
5 Using the Method of joints the cantilever plan truss shown in figure Find the member forces
Analyze and evaluate
1234
6 Calculate the forces in members of pin jointed space truss shown in figure using Tension Coefficient method
Analyze and evaluate
1234
7 Each bar of the truss shown in fig 2 has a cross section of 625mm2 Calculate the horizontal deflection of the joint C use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
6 Write different methods for computing deflection of determinate beam Understanding amp
Remember 1
7 Define Internal Stability Understanding amp
Remember 1
8 What are the different types of frames based on stability Understanding amp
Remember 1
9 What are the different types of frames and explain the same with neat diagrams
Understanding amp Remember
1
10 Define External stability Understanding amp
Remember 1
11 Define Degree of Indeterminacy Remember 1
12 What is equilibrium condition Remember 1
13
To find degree of indeterminacy of structures as given below
Remember
1
14
To find degree of indeterminacy of structures as given below
Remember
1
15 Differentiate between method of joints amp method of sections Remember 1
16 Explain a pin-jointed frame with a sketch Remember 1
17 Define a redundant force Remember 1
18 What is a portal frame Remember 1
19 What are the assumptions made in finding out the forces in a frame Remember 1
20 Explain briefly about tension coefficient method Remember 1
UNIT ndash II
1 Define term deflection of a beam Remember 1
2 State conjugate beam theorem Remember 1
3 Write relation between load shear force and bending moment acting on a structure
Understanding amp Remember
1
4 State moment area theorems Understanding amp
Remember 1
5 Define strain energy Understanding amp
Remember 1
6 State the castaglianos theorem Understanding amp
Remember 1
7 A steel rod has a square cross section of 10mm x 10mm and a length of 2M Calculate strain energy when a stress of 400 Mpa is produced by stretching it Take E = 200 Gpa
Analyze and evaluate 12
8 Calculate Strain energy due to shear stress for a member which has a length of 05M 120mm Diameter and a pull of 5KN Take E = 200 Gpa
Analyze and evaluate 12
9 What is the temperature effect on three hinged arches Understanding amp
Remember 1
10 How three hinged arch is different from two hinged arch and explain it Understanding amp 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
11 What are temperature stresses Explain Remember 1
12 Define Force Work energy Remember 1
13 State Eddyrsquos Theorem Remember 1
14 What is degree of static indeterminacy of a three hinged and two hinged arch
Understanding amp Remember
1
15 Give expression for strain energy due to axial force Understanding amp
Remember 1
16 Give expression for strain energy due to bending moment Understanding amp
Remember 1
17 Give expression for strain energy due to shear deformation Understanding amp
Remember 1
18 Define radial shear and normal thrust Remember 1
19 Give the equation for a parabolic arch whose springing is at different levels
Understanding amp Remember
1
20 Define linear arch Understanding amp
Remember 1
UNIT ndash III
1 What are the reaction values for propped cantilever beam when it carries point load
Remember 1
2 Calculate maximum bending moment for a propped cantilever beam which carries a udl of 10Knm for a span of 2m
Analyze and evaluate 1
3 Calculate point of contra flexure for propped cantilever beam has a 4m length carries point load of 20KN at free end
Analyze and evaluate 1
4 Difference between cantilever beam and propped cantilever beam Understanding amp
Remember 1
5 Calculate deflection at mid span for a propped cantilever beam of load 10Knm for a span of 4m
Analyze and evaluate 1
6 What is the effect of sinking of support for fixed beam Understanding amp
Remember 1
7 What is effect of rotation Analyze and evaluate 1
8 Calculate slope and deflection for a fixed beam of load 10Knm for a span of 4m
Analyze and evaluate 1
9 Difference between propped cantilever beam and fixed beam Understanding amp
Remember 1
10 A fixed beam of length 3m is subjected to two point loads 9KN at the middle third point Calculate Bending moment at the fixed end
Analyze and evaluate 12
11 What is a propped cantilever Remember 1
12 What is a Fixed beam Remember 1
13 What are the reaction values for propped cantilever beam when it carries uniformly distributed load
Remember 12
14 What is point of contra flexure Understanding amp
Remember 1
15 Define prop Remember 1
16 What are the reaction values for fixed beam when it carries point load
Understanding amp Remember
12
17 What are the reaction values for fixed beam when it carries uniformly distributed load
Understanding amp Remember
1
18 Define deflection Remember 1
19 Define slope Remember 1
20 Give boundary conditions for a propped cantilever beam Understanding amp 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
UNIT ndash IV
1 State Clapeyronrsquos three moment theorem and write equation also Remember 1
2 What is the effect of sinking of support in Three moment theorem Remember 1
3 Explain Continuous beam with neat diagram Understanding amp
Remember 1
4 Derive Slope deflection equation in continuous beam Understanding amp
Remember 1
5 What is the effect of sinking of support in slope deflection method Understanding amp
Remember 1
6 Define stiffness and relative stiffness of a member with different far end conditions
Understanding amp Remember
1
7 Define Carry over factor Understanding amp
Remember 1
8 Define Distribution factor and its importance at fixed end and simply support end
Understanding amp Remember
1
9 Define Elastic curve Understanding amp
Remember 1
10 Importance of Elastic curves in beams Understanding amp
Remember 1
11 Write down the equilibrium equations used in slope deflection method
Understanding amp Remember
1
12 What is the basic assumption made in slope deflection method Understanding amp
Remember 1
13 What is the moment at a hinged end of a simple beam Understanding amp
Remember 1
14 Write down the slope deflection equation for fixed end support Understanding amp
Remember 1
15 What are the quantities in terms of which the unknown moments are expressed in slope deflection method
Remember 1
16 Say true or false and if false justify your answer ldquoslope deflection method is a force methodrdquo
Understanding amp Remember
1
17 What are the reasons for sway in portal frames Understanding amp
Remember 1
18 What are the sign conventions used in slope deflection method Remember 1
19 State the limitations of slope deflection method Understanding amp
Remember 1
20 Write the fixed end moments for a beam carrying a central clockwise moment
Remember 1
UNIT ndash V Understanding amp Remember
1 Explain the term ldquoFocal Lengthrdquo Understanding amp
Remember 1
2 Define Influence Line Understanding amp
Remember 1
3 List out the uses of Influence lines Understanding amp
Remember 1
4 State Muller Breslau‟s Principle Understanding amp
Remember 1
5 Where do you get rolling loads in practice Understanding amp
Remember 1
6 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
7 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
8 What do you understand by the term reversal of stresses Understanding amp
Remember 1
9 State the location of maximum shear force in a simple beam with any kind of loading
Understanding amp Remember
1
10 What is the absolute maximum bending moment due to a moving udl longer
Understanding amp Remember
1
11 State Maxwell-Betti‟s theorem Understanding amp
Remember 1
12 What is meant by maximum shear force diagram Understanding amp
Remember 1
13 State the location of maximum shear force in a simple beam wit h any kind of loading
Understanding amp Remember
1
14 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
15 Name the type of rolling loads for which the absolute maximum bending moment occurs at the mid span of a beam
Understanding amp Remember
1
16 Where do you get rolling loads in practice Understanding amp
Remember 1
17 What is the absolute maximum bending moment due to a moving udl longer than the span of a simply supported beam
Understanding amp Remember
1
18 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
19 Draw influence lines for support reactions in a simply supported beam Understanding amp
Remember 1
20 What do you understand by an influence line for bending moment Understanding amp
Remember 1
PART ndash B (PROBLEM SOLVING AND CRITICAL THINKING QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 Differentiate between pin-jointed and rigid jointed plane frames Understanding amp Analyze
12
2 Using method of Tension Coefficient analysis determine the forces in the members of the plane truss shown in fig
Analyze and evaluate
1234
3 Fig shows the plan of a tripod the feet P Q R being in the horizontal plan and the apex S being 4m above the plane Horizontal loads of 125kN and 200kN are applied at D as shown Find the forces in all the members assuming that all the joints are pin joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
4 Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members
Analyze and evaluate
1234
5 Using the Method of joints the cantilever plan truss shown in figure Find the member forces
Analyze and evaluate
1234
6 Calculate the forces in members of pin jointed space truss shown in figure using Tension Coefficient method
Analyze and evaluate
1234
7 Each bar of the truss shown in fig 2 has a cross section of 625mm2 Calculate the horizontal deflection of the joint C use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
11 What are temperature stresses Explain Remember 1
12 Define Force Work energy Remember 1
13 State Eddyrsquos Theorem Remember 1
14 What is degree of static indeterminacy of a three hinged and two hinged arch
Understanding amp Remember
1
15 Give expression for strain energy due to axial force Understanding amp
Remember 1
16 Give expression for strain energy due to bending moment Understanding amp
Remember 1
17 Give expression for strain energy due to shear deformation Understanding amp
Remember 1
18 Define radial shear and normal thrust Remember 1
19 Give the equation for a parabolic arch whose springing is at different levels
Understanding amp Remember
1
20 Define linear arch Understanding amp
Remember 1
UNIT ndash III
1 What are the reaction values for propped cantilever beam when it carries point load
Remember 1
2 Calculate maximum bending moment for a propped cantilever beam which carries a udl of 10Knm for a span of 2m
Analyze and evaluate 1
3 Calculate point of contra flexure for propped cantilever beam has a 4m length carries point load of 20KN at free end
Analyze and evaluate 1
4 Difference between cantilever beam and propped cantilever beam Understanding amp
Remember 1
5 Calculate deflection at mid span for a propped cantilever beam of load 10Knm for a span of 4m
Analyze and evaluate 1
6 What is the effect of sinking of support for fixed beam Understanding amp
Remember 1
7 What is effect of rotation Analyze and evaluate 1
8 Calculate slope and deflection for a fixed beam of load 10Knm for a span of 4m
Analyze and evaluate 1
9 Difference between propped cantilever beam and fixed beam Understanding amp
Remember 1
10 A fixed beam of length 3m is subjected to two point loads 9KN at the middle third point Calculate Bending moment at the fixed end
Analyze and evaluate 12
11 What is a propped cantilever Remember 1
12 What is a Fixed beam Remember 1
13 What are the reaction values for propped cantilever beam when it carries uniformly distributed load
Remember 12
14 What is point of contra flexure Understanding amp
Remember 1
15 Define prop Remember 1
16 What are the reaction values for fixed beam when it carries point load
Understanding amp Remember
12
17 What are the reaction values for fixed beam when it carries uniformly distributed load
Understanding amp Remember
1
18 Define deflection Remember 1
19 Define slope Remember 1
20 Give boundary conditions for a propped cantilever beam Understanding amp 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
UNIT ndash IV
1 State Clapeyronrsquos three moment theorem and write equation also Remember 1
2 What is the effect of sinking of support in Three moment theorem Remember 1
3 Explain Continuous beam with neat diagram Understanding amp
Remember 1
4 Derive Slope deflection equation in continuous beam Understanding amp
Remember 1
5 What is the effect of sinking of support in slope deflection method Understanding amp
Remember 1
6 Define stiffness and relative stiffness of a member with different far end conditions
Understanding amp Remember
1
7 Define Carry over factor Understanding amp
Remember 1
8 Define Distribution factor and its importance at fixed end and simply support end
Understanding amp Remember
1
9 Define Elastic curve Understanding amp
Remember 1
10 Importance of Elastic curves in beams Understanding amp
Remember 1
11 Write down the equilibrium equations used in slope deflection method
Understanding amp Remember
1
12 What is the basic assumption made in slope deflection method Understanding amp
Remember 1
13 What is the moment at a hinged end of a simple beam Understanding amp
Remember 1
14 Write down the slope deflection equation for fixed end support Understanding amp
Remember 1
15 What are the quantities in terms of which the unknown moments are expressed in slope deflection method
Remember 1
16 Say true or false and if false justify your answer ldquoslope deflection method is a force methodrdquo
Understanding amp Remember
1
17 What are the reasons for sway in portal frames Understanding amp
Remember 1
18 What are the sign conventions used in slope deflection method Remember 1
19 State the limitations of slope deflection method Understanding amp
Remember 1
20 Write the fixed end moments for a beam carrying a central clockwise moment
Remember 1
UNIT ndash V Understanding amp Remember
1 Explain the term ldquoFocal Lengthrdquo Understanding amp
Remember 1
2 Define Influence Line Understanding amp
Remember 1
3 List out the uses of Influence lines Understanding amp
Remember 1
4 State Muller Breslau‟s Principle Understanding amp
Remember 1
5 Where do you get rolling loads in practice Understanding amp
Remember 1
6 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
7 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
8 What do you understand by the term reversal of stresses Understanding amp
Remember 1
9 State the location of maximum shear force in a simple beam with any kind of loading
Understanding amp Remember
1
10 What is the absolute maximum bending moment due to a moving udl longer
Understanding amp Remember
1
11 State Maxwell-Betti‟s theorem Understanding amp
Remember 1
12 What is meant by maximum shear force diagram Understanding amp
Remember 1
13 State the location of maximum shear force in a simple beam wit h any kind of loading
Understanding amp Remember
1
14 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
15 Name the type of rolling loads for which the absolute maximum bending moment occurs at the mid span of a beam
Understanding amp Remember
1
16 Where do you get rolling loads in practice Understanding amp
Remember 1
17 What is the absolute maximum bending moment due to a moving udl longer than the span of a simply supported beam
Understanding amp Remember
1
18 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
19 Draw influence lines for support reactions in a simply supported beam Understanding amp
Remember 1
20 What do you understand by an influence line for bending moment Understanding amp
Remember 1
PART ndash B (PROBLEM SOLVING AND CRITICAL THINKING QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 Differentiate between pin-jointed and rigid jointed plane frames Understanding amp Analyze
12
2 Using method of Tension Coefficient analysis determine the forces in the members of the plane truss shown in fig
Analyze and evaluate
1234
3 Fig shows the plan of a tripod the feet P Q R being in the horizontal plan and the apex S being 4m above the plane Horizontal loads of 125kN and 200kN are applied at D as shown Find the forces in all the members assuming that all the joints are pin joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
4 Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members
Analyze and evaluate
1234
5 Using the Method of joints the cantilever plan truss shown in figure Find the member forces
Analyze and evaluate
1234
6 Calculate the forces in members of pin jointed space truss shown in figure using Tension Coefficient method
Analyze and evaluate
1234
7 Each bar of the truss shown in fig 2 has a cross section of 625mm2 Calculate the horizontal deflection of the joint C use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
Remember
UNIT ndash IV
1 State Clapeyronrsquos three moment theorem and write equation also Remember 1
2 What is the effect of sinking of support in Three moment theorem Remember 1
3 Explain Continuous beam with neat diagram Understanding amp
Remember 1
4 Derive Slope deflection equation in continuous beam Understanding amp
Remember 1
5 What is the effect of sinking of support in slope deflection method Understanding amp
Remember 1
6 Define stiffness and relative stiffness of a member with different far end conditions
Understanding amp Remember
1
7 Define Carry over factor Understanding amp
Remember 1
8 Define Distribution factor and its importance at fixed end and simply support end
Understanding amp Remember
1
9 Define Elastic curve Understanding amp
Remember 1
10 Importance of Elastic curves in beams Understanding amp
Remember 1
11 Write down the equilibrium equations used in slope deflection method
Understanding amp Remember
1
12 What is the basic assumption made in slope deflection method Understanding amp
Remember 1
13 What is the moment at a hinged end of a simple beam Understanding amp
Remember 1
14 Write down the slope deflection equation for fixed end support Understanding amp
Remember 1
15 What are the quantities in terms of which the unknown moments are expressed in slope deflection method
Remember 1
16 Say true or false and if false justify your answer ldquoslope deflection method is a force methodrdquo
Understanding amp Remember
1
17 What are the reasons for sway in portal frames Understanding amp
Remember 1
18 What are the sign conventions used in slope deflection method Remember 1
19 State the limitations of slope deflection method Understanding amp
Remember 1
20 Write the fixed end moments for a beam carrying a central clockwise moment
Remember 1
UNIT ndash V Understanding amp Remember
1 Explain the term ldquoFocal Lengthrdquo Understanding amp
Remember 1
2 Define Influence Line Understanding amp
Remember 1
3 List out the uses of Influence lines Understanding amp
Remember 1
4 State Muller Breslau‟s Principle Understanding amp
Remember 1
5 Where do you get rolling loads in practice Understanding amp
Remember 1
6 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
7 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
8 What do you understand by the term reversal of stresses Understanding amp
Remember 1
9 State the location of maximum shear force in a simple beam with any kind of loading
Understanding amp Remember
1
10 What is the absolute maximum bending moment due to a moving udl longer
Understanding amp Remember
1
11 State Maxwell-Betti‟s theorem Understanding amp
Remember 1
12 What is meant by maximum shear force diagram Understanding amp
Remember 1
13 State the location of maximum shear force in a simple beam wit h any kind of loading
Understanding amp Remember
1
14 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
15 Name the type of rolling loads for which the absolute maximum bending moment occurs at the mid span of a beam
Understanding amp Remember
1
16 Where do you get rolling loads in practice Understanding amp
Remember 1
17 What is the absolute maximum bending moment due to a moving udl longer than the span of a simply supported beam
Understanding amp Remember
1
18 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
19 Draw influence lines for support reactions in a simply supported beam Understanding amp
Remember 1
20 What do you understand by an influence line for bending moment Understanding amp
Remember 1
PART ndash B (PROBLEM SOLVING AND CRITICAL THINKING QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 Differentiate between pin-jointed and rigid jointed plane frames Understanding amp Analyze
12
2 Using method of Tension Coefficient analysis determine the forces in the members of the plane truss shown in fig
Analyze and evaluate
1234
3 Fig shows the plan of a tripod the feet P Q R being in the horizontal plan and the apex S being 4m above the plane Horizontal loads of 125kN and 200kN are applied at D as shown Find the forces in all the members assuming that all the joints are pin joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
4 Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members
Analyze and evaluate
1234
5 Using the Method of joints the cantilever plan truss shown in figure Find the member forces
Analyze and evaluate
1234
6 Calculate the forces in members of pin jointed space truss shown in figure using Tension Coefficient method
Analyze and evaluate
1234
7 Each bar of the truss shown in fig 2 has a cross section of 625mm2 Calculate the horizontal deflection of the joint C use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy
Level Program Outcome
7 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
8 What do you understand by the term reversal of stresses Understanding amp
Remember 1
9 State the location of maximum shear force in a simple beam with any kind of loading
Understanding amp Remember
1
10 What is the absolute maximum bending moment due to a moving udl longer
Understanding amp Remember
1
11 State Maxwell-Betti‟s theorem Understanding amp
Remember 1
12 What is meant by maximum shear force diagram Understanding amp
Remember 1
13 State the location of maximum shear force in a simple beam wit h any kind of loading
Understanding amp Remember
1
14 Where do you have the absolute maximum bending moment in a simply supported beam when a series of wheel loads cross it
Understanding amp Remember
1
15 Name the type of rolling loads for which the absolute maximum bending moment occurs at the mid span of a beam
Understanding amp Remember
1
16 Where do you get rolling loads in practice Understanding amp
Remember 1
17 What is the absolute maximum bending moment due to a moving udl longer than the span of a simply supported beam
Understanding amp Remember
1
18 What is meant by absolute maximum bending moment in a beam Understanding amp
Remember 1
19 Draw influence lines for support reactions in a simply supported beam Understanding amp
Remember 1
20 What do you understand by an influence line for bending moment Understanding amp
Remember 1
PART ndash B (PROBLEM SOLVING AND CRITICAL THINKING QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 Differentiate between pin-jointed and rigid jointed plane frames Understanding amp Analyze
12
2 Using method of Tension Coefficient analysis determine the forces in the members of the plane truss shown in fig
Analyze and evaluate
1234
3 Fig shows the plan of a tripod the feet P Q R being in the horizontal plan and the apex S being 4m above the plane Horizontal loads of 125kN and 200kN are applied at D as shown Find the forces in all the members assuming that all the joints are pin joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
4 Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members
Analyze and evaluate
1234
5 Using the Method of joints the cantilever plan truss shown in figure Find the member forces
Analyze and evaluate
1234
6 Calculate the forces in members of pin jointed space truss shown in figure using Tension Coefficient method
Analyze and evaluate
1234
7 Each bar of the truss shown in fig 2 has a cross section of 625mm2 Calculate the horizontal deflection of the joint C use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
4 Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members
Analyze and evaluate
1234
5 Using the Method of joints the cantilever plan truss shown in figure Find the member forces
Analyze and evaluate
1234
6 Calculate the forces in members of pin jointed space truss shown in figure using Tension Coefficient method
Analyze and evaluate
1234
7 Each bar of the truss shown in fig 2 has a cross section of 625mm2 Calculate the horizontal deflection of the joint C use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 A portal frame ABCD is hinged at AampD and has rigid joints The frame is
loaded as shown in Fig Analyze the frame using minimum strain energy method Plot the bending moment diagram
Analyze and evaluate
1234
9 Determine the vertical and horizontal deflections of the free end of the lamp post shown in fig 1 Take EI = 16000kN- m2
Analyze and evaluate
1234
10 Determine the vertical and horizontal deflection at the free end of the bent shown in fig 4 Use the unit load method Assume uniform flexural rigidity EI throughout
Analyze and evaluate
1234
11 Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of joints
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
12
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of joints
Analyze and evaluate
1234
13
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of joints
Analyze and evaluate
1234
14
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use method of sections
Analyze and evaluate
1234
15 Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use method of sections
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use method of sections
Analyze and evaluate
1234
17
Determine the force in the members of the truss shown in figure The cross sectional area of vertical and horizontal members is 4000mm2 and that of the diagonal is 6000 mm2 Use tension coefficient method
Analyze and evaluate
1234
18
Find the forces in the members of truss shown in figure The cross sectional area and youngrsquos modulus of all the members are the same Use tension coefficient method
Analyze and evaluate
1234
19
Find the forces developed in all the members of truss shown in fig if the temperature of member AC goes up by 20degc Take the co efficient of thermal expansion α=12X10-6degc Cross sectional area of all the members is 2500mm2 and youngrsquos modulus is 200KNmm2 Use tension coefficient method
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
20
A two span continuous truss is loaded as shown All the members are of the same material and have the same cross sectional area Find the reaction at the central support C also find the forces in all the members AB BF FG HI GI GD of the truss
Analyze and evaluate
1234
UNIT - II
1 A circular three hinged arch of span 25m with a central rise of 5m is hinged at the crown and the end supports It carries a point load of 100 kN at 6m from the left support Calculate i The reaction at the supports ii Moment at 5m from the left support
Apply Analyze and evaluate
1234
2 A three hinged circular arch of span 16m and rise 4m is subjected to two point loads of 100 kN and 80 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 6m from left support
Analyze and evaluate
1234
3 A symmetrical three hinged arch has a span of 50 amp rise 5m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 10kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
1234
4 A three hinged parabolic arch of span 30m and rise 5m carries a uniformly distributed load of 40kN per meter on the whole span and a point load of 200kN at a distance of 5m from the right end Find the horizontal thrust resultant reaction bending moment and normal thrust at a section 5m from the left end
Analyze and evaluate
1234
5 A three hinged parabolic arch has supports at different levels having span 20m and carries a UDL of 30kNm over the left half of the span The left support is 5m below the crown and the right support is 4m below the crown Draw the BMD Also find the normal thrust and radial shear at a section 4m from the left support
Analyze and evaluate
1234
6 Explain briefly about strain energy in elastic system Analyze and evaluate
1234
7 Derive expression for strain energy Analyze and evaluate
1234
8 Derive expression for strain energy due to axial load Analyze and evaluate
1234
9 Derive expression for strain energy due to bending Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
evaluate
10 Derive expression for strain energy due to shear deformation Analyze and evaluate
1234
11 Explain unit load method Analyze and
evaluate 1234
12 Write short notes on strain energy Analyze and
evaluate 1234
13 Calculate the deflection at centre o a simple beam ACB subjected to varying load of zero from A to w kNm at C and zero at B Take EI as constant
Analyze and evaluate
1234
14 Define arch What are the applications of arches Analyze and
evaluate 1234
15 Explain the different types of arches Analyze and
evaluate 1234
16 State and explain eddyrsquos theorem Analyze and
evaluate 1234
17 Write short notes on analysis of three hinged arches Analyze and
evaluate 1234
18 Explain about linear arch Analyze and
evaluate 1234
19 Why is a arch preferred over a straight beam Explain Analyze and
evaluate 1234
20 Explain why the moment is zero at all points in a three hinges parabolic arch
Analyze and evaluate
1234
UNIT - III
1 A cantilever of length 10 m carries udl of 800Nm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=3X105Nmm2 and I=10 8 mm 4 then the prop reaction
Understanding Analyze amp Evaluate
1234
2 A cantilever of length 8m carries udl of 2Knm run over the whole length The cantilever is propped rigidly at the free end If E=1X105Nmm2 and I=10 8 mm 4 then determine reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
3 A cantilever of length 5m carries a point load of 24kn at its center The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
4 A cantilever of length 4m carries a UDL of 1Knm run over the whole span length The cantilever is propped rigidly at the free end If the value of If E=2X105Nmm2 and I=10 8 mm 4 Determine the reaction at the rigid prop and deflection at the center
Analyze and evaluate
1234
5 A cantilever of length 8 m carries UDL of 08Knm length over the whole length The free end of the cantilever is supported on a prop The prop sinks by 5mm If E=2X105Nmm2 and I=10 8 mm 4 then the prop reaction
Analyze and evaluate
1234
6 A fixed beam AB 5m long carries a point load of 48kn at its center the moment of inertia of the beam is 5x107 mm4 and value of E for the beam materials is 2x105 Nmm2 Determine Fixed end moments at A and B and Deflection under the load
Analyze and evaluate
1234
7 A fixed beam of length 5m carries a point load of 20KN at a distance of Analyze and 1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
2m from A Determine the fixed end moments and deflection under the load if the flexural rigidity of the beam is 1x104 Knm2
evaluate
8 A fixed beam of length 6m carries point loads of 20kn and 15kn at distance 2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
9 A fixed beam of length 3m carries tow point loads of 30kn each at a distance of 1m from both ends Determine the fixing moments and draw BM diagram
Analyze and evaluate
1234
10 A fixed beam AB of length 6m carries a uniformly distributed load 3knm over the left half of the span together with a point load of 4kn at a distance of 45m from the left end Determine the fixing end moments and support reactions
Analyze and evaluate
1234
11 A fixed beam of span lsquoLrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
1234
12 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to UDL throughout wm
Analyze and evaluate
1234
13 Draw SFD and BMD for a propped cantilever beam span lsquoLrsquo subjected to point load at free end
Analyze and evaluate
1234
14 Draw the SF and BM Diagrams (qualitative) of a fixed beam of L m long carries a point load W at the midpoint
Analyze and evaluate
1234
15
For the propped cantilever shown in fig Calculate the BM
Analyze and evaluate
1234
16 A cantilever of length 6m carries a point load of 48 kN at its centre The cantilever is propped rigidly at the free end Determine the reaction at the rigid prop
Analyze and evaluate
1234
17 A fixed beam AB of length 6m carries point loads of 160 kN and 120kN at a distance of2m and 4m from the left end A Find the fixed end moments and the reactions at the supports Draw BM and SF diagrams
Analyze and evaluate
1234
18
A fixed beam of 8m span carries a UDL of 40 kNm run over 4m length starting from left end and a concentrated load of 80kN at a distance of 6m from the left end Find
i Moments at the supports
ii Deflection at centre of the beam
Take EI = 15000 kNm2
Analyze and evaluate
1234
19 A fixed beam of 6m length is loaded with two equal point loads of 150kN each at distance of 2m from each support Draw the BMD and SFD E = 2 x 108 kNm2 I = 8 x 108 mm4
Analyze and evaluate
1234
20
A fixed beam of span 8 m carries an udl of 2 kNm over a length of 4 m from the left support and a concentrated load of 10 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
1234
UNIT - IV
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
1 A 3-span continuous beam ABCD has fixed end supports On end span AB= 6m there is udl of 20 kNm while on CD = 5 m there is a point load of 80 kN at mid span on the central span BC = 5 m there is a point load of 50kN at 3m from B If the moment of inertia of BC is twice that of AB and CD analyse by moment distribution method and sketch the BMD
Analyze amp evaluate
1234
2 If support B of the continuous beam of Question No 1 settles by 30 mm obtain the support moments by slope deflection method taking I = 400 cm4 and E= 2times105 Nmm2 Sketch the BMD
Analyze and evaluate
1234
3 Using Slope Deflection method obtain the support moments for the 2-span continuous beam shown below Sketch BMD
Analyze and evaluate
1234
4 Using Claperoyn‟s method finds the support movements for the 2-span continuous beam loaded as shown below figure 2 Sketch the BMD
Analyze and evaluate
1234
5 Using moment distribution method analyse the 2-span continuous beam ABC having end supports A and C fixed There is a load of 5 kN in span AB=5 m at 3 m from A while on span BC there is a load of 8 kN at 25 m from C Sketch the BMD
Analyze and evaluate
1234
6 If the end spans A and C of the beam given in Question No2 are simply supported analyse using slope deflection method Sketch the BMD
Analyze and evaluate
1234
7 Analyze two span continuous beam ABC in which support B sinks by 5mm by slope deflection method Then draw Bending moment amp Shear force diagram Take EI constant and draw Elastic curve
Analyze and evaluate
1234
8 Analyze continuous beam ABCD by slope deflection method and then draw bending moment diagram Take EI constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Analyse the continuous beam ABCD shown in figure by slope deflection
method The support B sinks by 15mm Take E=200x105 KNm2 and I=120x106m4
Analyze and evaluate
1234
10 Three span continuous beam ABCD is fixed at A and continuous over B C and D The beam subjected to loads as shown Analyse the beam by slope deflection method and draw bending moment and shear force diagram
Analyze and evaluate
1234
11
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using slope deflection method
Analyze and evaluate
1234
12
A Continuous beam ABCD fixed at A and D and continuous over supports B and C The span AB=5m carries a central concentrated load of 10kN The span BC=4m carries a uniformly distributed load of 4 kNm over the entire span of BC The span CD=6m carries a non central concentrated load of 8 kN acting at a distance of 2m from the end D Analyze the beam and draw bending moment diagram using moment distribution method
Analyze and evaluate
1234
13
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using slope deflection method The beam is of uniform section throughout
Analyze and evaluate
1234
14
A continuous beam ABC consist of span AB=3m and BC=4m the ends A and C being fixed AB and BC carry uniformly distributed loads of intensity 4kNm and 5kNm respectively Find the support moments and draw the bending moment diagram for the beam using moment distribution method The beam is of uniform section throughout
Analyze and evaluate
1234
15 Analyze the beam shown in fig by slope deflection method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
16
Analyze the beam shown in fig by moment distribution method and draw the SFD and BMDEI=Constant
Analyze and evaluate
1234
17
Analyze the continuous beam ABCD shown in fig by slope deflection method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
18
Analyze the continuous beam ABCD shown in fig by moment distribution method Take EI=Constant Also sketch the shear force and Bending Moment diagram
Analyze and evaluate
1234
19
Analyze the continuous beam shown in fig by slope deflection method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
20
Analyze the continuous beam shown in fig by moment distribution method Support B settles by 8mm and C settles by 12 mm I=60000cm4 E=210x106kNm2Draw the SFD and BMD
Analyze and evaluate
1234
UNIT - V
1 Two point loads of 125kN and 250kN spaced 4m in figure 1 apart cross a girder of 175m from left to right with the 125kN load leading Draw the influence line for the bending moment and find the value of maximum bending moment at a section C 75m from the left hand support Also find the absolute maximum bending moment due the given load system
Understanding amp Analyze
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
Figure 1
2 Four wheel load of 759 amp 6 kN cross a girder of span 225m from the left to right followed by an UDL of 5kNm of 4m length The 7kN load is leading The spacing between the loads are shown in fig 2 The head of UDL is 3m from the last load of 6kN Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 5kN load is at the center of span
Figure 2
Analyze and evaluate
1234
3 Draw the influence line diagrams for the forces in the members P Q amp R of the truss shown in fig 3
Figure 3
Analyze and evaluate
1234
4 Draw the influence lines for the members U1U2 L2L3 U3L3 amp U4L4 of the deck type girder shown in figure 4
Analyze and evaluate
1234
5 Sketch the influence line diagram for SF and B M at 4 m from the left end of a simply-supported girder of span 10 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 8 kN and 16 kN spaced 2 m apart move from left to right
Analyze and evaluate
1234
6 Illustrate the procedure to find the forces in the members of a Pratt truss due to moving loads using the influence line diagrams
Analyze and evaluate
1234
7 A UDL of intensity 10 kNm and 4 m long crosses a simply supported girder of 12 m span Sketch the IL diagrams for SF and BM at 13
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
8 A UDL of intensity 20 kNm and 5 m long crosses a simply supported girder of 15 m span Sketch the IL diagrams for SF and BM at mid span Hence find the maximum SF and BM at the section Find also the absolute maximum SF and BM
Analyze and evaluate
1234
9 Sketch the influence line diagram for SF and B M at 5 m from the right end of a simply-supported girder of span 15 m Hence find the maximum SF and maximum BM at the section if two wheel loads of 10 kN and 18 kN spaced 4 m apart move from left to right
Analyze and evaluate
1234
10 Four wheel load of 4 6 8 6 and 4 kN cross a girder of span 25m from the left to right The 10 kN load is leading The spacing between each load is 25m Using influence lines calculate the shear force and bending moment at a section 8m form the left support when the 8 kN load is at the center of span
Analyze and evaluate
1234
11
A system of four loads 80 160 160 and 120 kN crosses a simply supported beam of span 25m with the 120 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 10m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
12
A beam has a span of 24m draw the influence line diagram for the bending moment and shear force at a section 8m from the left and also determine maximum bending moment and shear force at this section due to two point loads of 10kN and 6kN at a fixed distance of 2m apart rolling from left to right with 6kN load leading
Analyze and evaluate
1234
13
A simply supported beam has a span of 16mis subjected to a UDL(dead load) of 5kNm and a UDL(live load) of 8kNm (longer than the span) travelling from left to right Draw the ILD for shear force and bending moment at a section 4m from left end Use these diagrams to determine the maximum shear force and bending moment at this section
Analyze and evaluate
1234
14 Draw the influence line for MB for the continuous beam ABC simply supported at A and C using Muller Breslau`s principle AB=3m BC=4mEI is constant
Analyze and evaluate
1234
15 Draw the influence line diagram for the propped reaction of a propped cantilever beam having span 6m EI=Constant
Analyze and evaluate
1234
16
Determine the influence line diagram for bending moment at a point D the middle point of span AB of a continuous beam ABC of span AB=6m and BC=4m simply supported at supports AB and C Compute the ordinates at every 1m interval
Analyze and evaluate
1234
17
The warren girder of 25m span is made of 5 panels of 5m each The diagonals are inclined at 60deg to the horizontal Draw the influence line diagram for force in upper chord member in the second panel from left Hence evaluate the forces in it when there is load of 60 kN at each lower joint
Analyze and evaluate
1234
18 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 4m simply supported at A B ampC Compute the ordinates at every 1m interval EI = constant
Analyze and evaluate
1234
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
19
A system of four loads 40 80 80 and 60 kN crosses a simply supported beam of span 20m with the 60 kN load leading The loads are equally spaced at 1m Determine the values of the following using influence lines
i Maximum bending moment at a section 8m from left support and
ii ii Absolute maximum shear force and bending moment in the beam
Analyze and evaluate
1234
20 Draw the influence line for RA for the continuous beam ABC of span AB = BC = 6m simply supported at A B ampC Compute the ordinates at every 15m interval EI = constant
Analyze and evaluate
1234
PART ndash C (ANALYTICAL QUESTIONS)
S No Question Blooms Taxonomy Level
Program Outcome
UNIT ndash I
1 What are the different methods for analysis of Frames Write the assumptions made in analyzing perfect frame
Understanding 12
2 Determine the forces in the members of the cantilever truss shown in fig method of joints
Analyze and evaluate
2345
3 For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of joints
Analyze and evaluate
2345
4 Find the forces in the members of truss shown in fig using method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
5 In the cantilever truss shown in fig Calculate reaction at A using method
of joints
Analyze and evaluate
2345
6 Calculate force in the member BC for truss shown in fig
Analyze and evaluate
2345
7 Determine the forces in all the members of a truss shown in fig below by method of joints
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
8 Find the force in all members of the truss shown in Figure 1255 by
method of joints
Analyze and evaluate
2345
9 Determine the forces in all the members of a truss shown in fig below by method of sections
Analyze and evaluate
2345
10 Find the force in all members of the truss shown in Figure 1255 by method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
11
Determine the forces in the members of the cantilever truss shown in fig method of sections
Analyze and evaluate
2345
12
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using method of sections
Analyze and evaluate
2345
13
Find the forces in the members of truss shown in fig using method of sections
Analyze and evaluate
2345
14 In the cantilever truss shown in fig Calculate reaction at A using method of sections
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
15
Determine the forces in the members of the cantilever truss shown in fig using tension coefficient method
Analyze and evaluate
2345
16
For the truss shown in Fig Determine reactions at the two supports P and Q and forces in the members using tension coefficient method
Analyze and evaluate
2345
17 Find the forces in the members of truss shown in fig using tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
In the cantilever truss shown in fig Calculate reaction at A using tension coefficient method
Analyze and evaluate
2345
19
Determine the forces in all the members of a truss shown in fig below by tension coefficient method
Analyze and evaluate
2345
20
Find the force in all members of the truss shown in Figure 1255 by tension coefficient method
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
UNIT - II
1 The strain energy due to bending in the cantilever beam shown in fig
Analyze amp evaluate
2345
2 The strain energy stored in member AB of the pin joined truss shown in fig
Analyze and evaluate
2345
3 A simply supported beam of span ldquolrdquo and flexural rigidity bdquoEI‟ carries a unit point load at its center What is the strain energy in the beam due to bending
Analyze and evaluate
2345
4 Calculate the strain energy stored in a simply supported beam of span bdquol‟ and flexural rigidity bdquoEI‟ due to central concentrated load bdquoW‟
Analyze and evaluate
2345
5 If the strain energy absorbed in a cantilever beam in bending under its own weight is bdquoK‟ times greater then the strain energy absorbed in an identical simply supported beam in bending under its own weight the then what could be the magnitude
Analyze and evaluate
2345
6 A three hinged arch is shown in fig Calculate horizontal thrust
Analyze and evaluate
2345
7 A three hinged arch parabolic arch ABC has a span o 20m and central rise of 4m The arch has hinges at the ends and at the center A train of two point loads of 20Kn and 10Kn 5m apart crosses this arch from left to right with 20Kn load leading Calculate maximum thrust induced at the support
Analyze and evaluate
2345
8 For the three hinged parabolic arch shown in fig what is the value of horizontal thrust
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
9 Calculate horizontal thrust at support bdquoA‟ in a three hinged arch shown
in fig
Analyze and evaluate
2345
10 A three hinged semicircular arch of radius R carries a uniformly distributed load W per unit run over the whole span What will be the horizontal thrust
Analyze and evaluate
2345
11 An axial pull of 40 kN is suddenly applied to a steel rod 2m long and 1000mm2 in cross section Calculate the strain energy that can be absorbed if E = 200 GNm2
Analyze and evaluate
2345
12
A cantilever of rectangular section breadth b depth d and of length l carries uniformly distributed load spread from free end to the mid section of the cantilever Using Castiglianorsquos theorem find Slope and deflection due to bending at the free end
Analyze and evaluate
2345
13 A beam 4m in length is simply supported at the ends and carries a uniformly distributed load of 6 kNm length Determine the strain energy stored in the beam Take E = 200 GPa and I = 1440 cm4
Analyze and evaluate
2345
14
A beam simply supported over a span of 3m carries a UDL of 20 kNm over the entire span The flexural rigidity EI = 225 MNm2 Using Castiglianorsquos theorem determine the deflection at the centre of the beam
Analyze and evaluate
2345
15
For the beam shown in fig find the slope and deflection at lsquoCrsquo
Analyze and evaluate
2345
16
For the truss shown in fig find the total strain energy stored
E 2 times 105 Nmm2 Area AB 100 mm2 BC 100 mm2
AC 80 mm2
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
17 Compare the bending moments of a three hinged arch ACB of span L rise h hinged at crown C and carrying a point load P at a distance L4 from A with a straight beam carrying same load
Analyze and evaluate
2345
18 Show that the bending moment of a three hinged parabolic arch carrying a uniformly distributed load is zero at any cross section
Analyze and evaluate
2345
19
A three hinged circular arch of span 20m and rise 5m is subjected to two point loads of 150 kN and 100 kN at the left and right quarter span points respectively Find the reaction at the supports Find also the bending moment radial shear and normal thrust at 8m from left support
Analyze and evaluate
2345
20
A symmetrical three hinged arch has a span of 60 amp rise 6m Find the maximum bending moment at a quarter point of the arch caused by a uniformly distributed load of 15kNm which occupies any portion of the span Indicate the position of the load for this condition
Analyze and evaluate
2345
UNIT - III
1 A cantilever ABC of length is fixed at the end A and is simply supported at an intermediate support B The cantilever carries a uniformly distributed load wunit length over the whole span Determine the position of the support B so that reactions at A and B are equal
Analyze amp evaluate
2345
2 A beam AB of length L simply supported at the ends and propped at mid span carries a udl of w per unit length Calculate the prop reaction and plot the bending moment diagram
Analyze and evaluate
2345
3 A cantilever of uniform cross section carries a udl wunit length What upward force must be applied at the end to reduce the deflection there to zero
Analyze and evaluate
2345
4 For the propped beam shown in Fig Determine the reaction R and sketch the shear force and bending moment diagrams
Analyze and evaluate
2345
5 A 5m long fixed beam AB is hinged at the point H 3M from the end A thus forming two concentrated cantilever AH and BH A load of 86Kn acts at a distance of 2m from the left end A Find the reaction at the hinge and the fixing moments at A and B Takes IAH=2IBH
Analyze and evaluate
2345
6 A fixed-ended beam of 9m span carries udl of 15Knm (including its own weight) and two pint loads of 200kn at the third point in the span Assuming rigid end fixing Find the fixing moment
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
7 For a rigidly fixed beam AB of 5m span carrying udl of 10Knm over the entire span locate the points of contraflexure and draw the SF and BM diagrams
Analyze and evaluate
2345
8 A beam built in at both the ends is loaded with a triangular loading on its one half of the span the other load half carries no load The load gradually increases from zero at the fixed end to 15Knm at mid span The span of the beam is 5m Determine the bending moments
Analyze and evaluate
2345
9 A beam of uniform cross section and 5m length is built in at each end It carries a udl of 10Knm extending from 3m from one end and a concentrated load of 20Kn 1m from the other end Sketch the BM diagram giving principal numerical values
Analyze and evaluate
2345
10 A beam fixed at both ends is prismatic It carries a load of varying intensity zero at the end to wunit length at the center Determine the fixed moments
Analyze and evaluate
2345
11
A fixed beam AB of 8m span carries a point load of 100 kN at its mid span and a uniformly distributed load of 20 kNm throughout its entire span Find the following (i) Fixing moments at the ends and (ii) Reactions at the supports Also draw the SF and BM diagrams
Analyze and evaluate
2345
12 What are the fixed end moments for a fixed beam of length l subjected to a concentrated load 2W at a distance a from left end
Analyze and evaluate
2345
13 Derive a relation fro prop reaction for a simply supported beam with uniformly distributed load and propped t the centre
Analyze and evaluate
2345
14 A Steel fixed beam AB of span 6 m is 60 mm wide and 100 mm deep The support B sinks down by 6 mm Fine the fixing moments at A and B Take E = 200 GPa
Analyze and evaluate
2345
15 Derive and sketch the shear force bending moment and deflection of a propped cantilever beam subjected o udl over the entire span
Analyze and evaluate
2345
16 What are the advantages and disadvantages of a fixed beam Analyze and
evaluate 2345
17 A fixed beam AB of length 3m is having moment of inertia I=3 x 106 mm4 the support B sinks down by 3mm If E = 2 x 105 Nmm2 Find the fixing moments
Analyze and evaluate
2345
18
For the fixed beam shown in fig what is the fixed end moment at A and B
Analyze and evaluate
2345
19 Draw BMD for a propped cantilever beam span lsquo2Lrsquo subjected to UDL throughout wm
Analyze and evaluate
2345
20 A fixed beam of span lsquoLrsquo is subjected to UDL throughout 2wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - IV
1 A continuous beam ABC consists of two consecutive spans of 4m each and carries a distributed load of 60Knm run The end A is fixed and the end C simply supported Find the support moments and the reactions
Analyze amp evaluate
2345
2 Analyze the continuous beam shown in fig if the support B sinks by 1cm Analyze and 2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
The section is constant throughout E=200Gpa and I=8500cm4
evaluate
3 Draw SF and BM diagrams for a continuous beam loaded as shown I fig
Analyze and evaluate
2345
4 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
5 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
6 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
7 A continuous beam ABCD 20m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is 2I that of BC is I and that of CD is 2I There is a UDL load of 1500 Nm over spans AB and BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
8 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Find the fixed end moments using slope deflection method I=1600cm4 and E=200GPa
Analyze and evaluate
2345
9 Analyze the continuous beam ABCD 3l long using slope deflection method is continuous over 3 spans with a uniformly distributed load of w per unit length AB=BC=CD=l The beam is of constant section throughout its length and supports remain at same level after loading
Analyze and evaluate
2345
10 A continuous beam ABCD 18m long is continuous over 3 spans AB=8m BC=4m CD=8m Moment of inertia is constant over the whole span A
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
concentrated load of 4000N is acting of AB at 3m from support A There is a UDL load of 1000 Nm on BC On the span CD there is a central load of 4000N The ends are fixed and during loading the support B sinks by 1cm Analyze using elastic curve I=1600cm4 and E=200GPa
11
A continuous beam ABCD of uniform cross-section is loaded
as shown in Figure Find the following (i) Bending moments
at the supports (ii) Reactions at the supports Also draw BM
and SF diagrams
Analyze and evaluate
2345
12
A continuous beam ABCD in shown in Fig Draw SFD and
BMD indicating the salient points (AUC NovDec 2011)
Analyze and evaluate
2345
13
Draw the SF and BM diagrams for the beam shown in the
fig Use three moment equation (AUC AprMay 2012)
Analyze and evaluate
2345
14
A fixed beam AB of length 8m carries point loads of 150 kN
and 120kN at a distance of 3m and 4m from the left end A
Find the fixed end moments and the reactions at the supports
Draw BM and SF diagrams
Analyze and evaluate
2345
15
A continuous beam ABC 8m long consists of two spans AB = 4m and BC = 5m The span AB carries a load of 80 kNm while the span BC carries a load of 30 kNm Find the support moments and the reactions at the supports
Analyze and evaluate
2345
16
A fixed beam of span 8 m carries an udl of 4 kNm over a length of 4 m from the left support and a concentrated load of 20 kN at a distance of 6m from the left support Find the fixed end moments and draw the BM and SF diagrams
Analyze and evaluate
2345
17
Analyse the following beam
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Draw the SF and BM diagrams for the beam shown in the
fig
Analyze and evaluate
2345
19
For the fixed beam shown in fig what is the fixed end
moment at A and B
Analyze and evaluate
2345
20 A fixed beam of span lsquo2Lrsquo is subjected to UDL throughout wm What is end moments and moment at the centre
Analyze and evaluate
2345
UNIT - V
1 For simply support beam 10M ILD is drawn for BM at a section 4m from the let hand support The maximum BM at the section due to moving load of 160KN is equal to
Analyze amp evaluate
2345
2 A udl of 30Knm and 4m length rolls over a span of 16M The absolute maximum BM in KN-M is
Analyze and evaluate
2345
3 A number of wheel loads 3t 4t 5t and 6t spaced 2m 3m and 3m respectively with the 3t load leading from left to right To find the maximum BM at 8m from A what load must be placed at what section
Analyze and evaluate
2345
4 Three wheel loads 10t 26t and 24t spaced 2m apart roll on a girder from left to right with the 10t load leading The girder has a span of 20m For the condition of maximum bending moment at a section 8m from the left end what load should be placed at the section
Analyze and evaluate
2345
5 A beam PQRS is 18m long and is simply supported at points Q and R 10m apart Overhang PQ and RS are 3m and 5m respectively A train of two point loads of 150Kn and 100Kn 5m apart crosses this beam from left to right with 100Kn load leading What is the maximum sagging moment under 150Kn
Analyze and evaluate
2345
6 For above problem the passage of loads what are the maximum and minimum reactions at support R in Kn respectively
Analyze and evaluate
2345
7 What is the variation of influence line for stresses unction in a statically Analyze and evaluate
2345
8 What is the shape of influence line diagram for the maximum bending moment is respect of a simply support beam
Analyze and evaluate
2345
9 Five concentrated loads 40Kn 120Kn 100Kn and 80Kn spaced at equal distance of 3m between them cross from left to right of a SS beam of
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
span 40m with the 40Kn load leading What load gives the maximum bending moment at section C 15m from left
10 What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L
Analyze and evaluate
2345
11
A beam ABC is supported at A B and C as shown in Fig 7 It has the
hinge at D Draw the influence lines for (1) reactions at A B and C (2) shear to the right of B (3) bending moment at E
Analyze and evaluate
2345
12
Construct the influence line for the reaction at supports A and B for the beam of span 10m The beam structure is shown in Figure
Analyze and evaluate
2345
13
Construct the influence line for support reaction at B for the given beam as shown in Fig
Analyze and evaluate
2345
14
Construct the influence line for shearing point C of the beam
Analyze and evaluate
2345
15
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
16
Construct the influence line for the moment at point C of the beam shown in Figure
Analyze and evaluate
2345
17
Construct the influence line for a) reaction at A and B b) shear at point C c) bending moment at point C of the beam in the figure below
Analyze and evaluate
2345
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING
COURTESY IARE
S No Question Blooms Taxonomy Level
Program Outcome
18
Construct the influence line for - the reaction at A C and E - the shear at D - the moment at D
Analyze and evaluate
2345
19
Construct the influence line for a) shear before and after support B b) moment at point B of the beam in the figure below
Analyze and evaluate
2345
20
Construct the influence line for - shear before and after support C - moment at point C
Analyze and evaluate
2345
Prepared by K Varsha Reddy Assistant Professor
HOD CIVIL ENGINEERING