USN l0cv43

Fourth Semester B.E. Degree Examination, Dec.2013 lJan.20l4Structural Analysr's - I

Max. Marks:100Note: 7, Answer FIVEfull questions, selecting

ot least TWO questions from each part.2. Assume any missing data suitably.

PART _ AI a.: Distinguish between determinate a.rd indeterminate structures with examples. (06 Marks)

b. Determine the static and kinematic indeterminacy for the structures shown in Fig.Q1(b).

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Time: 3 hrs.

; Fig.Ql(b)c. Write strain energy expressions fbr 4xrql, shear bending and twisting.

2 a. Determine slope and deflection at the free end for the cantilever beamusing moment area method.

(10 Marks)(04 Marks)

shown in Fig.Q2(a),(10 Marks)

, Fig.Q2(a)Deterftine the slopes of support and deflection underFig.Q2(b), using conjugate beam method.

State and prove Maxwell's reciprocal theorem.

Fig"Q2(b)the load ror the

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3a.

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(06 Marks)Using the method of virtual work determine the horizontal displacement of a point C of theframe shown in Fig.Q3(b). Take E :2x10s N/mm2 and I :4x106 mma. (14 Marks)

I

,kN

a*r^ -n

66x$"r* @

Fie.Q3(b) Fig.Q4

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Determine the vertical and horizontal deflections at point C of the truss as shown in Fig.Q4,using unit load method. Area of cross section of all the members is 6x10-a m'.Take E:200 GPa. (20 Marks)

3a. A three hingedloaded points.

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PART _ Bparabolic arch is loaded as shown in Fig.Q5(a). Determine the B.M- at

lSoLrJ (10 Marks)

b.

6a.

b.

h6" -'l t+u -aw =lFie.Q5(at Fie.e6(a)A flexible suspenSioa cable of weight 0.0075 kN/m hangs between two vertical walls 60 mapart, the left end being attached to the wall at a point 10 m below the right end.A concentrated load of I kN is attached to the cable in such a manner that the point ofattachment of the load is 20 mhorizontal from the left and wall and 5 m below the left handsupport. Show that maximum tension occurs at the right hand support and find its value.

A cantilever beam of constant flexural rigidity is propped at its free end to the level of fixedend. Determine the reaction of the prop when the beam carries udl over the entire span.Hence draw BMD and SFD. Fig.Q6(a). (10 Marks)Determine the fixed end moments or support moments for the beam loaded as shown inFie.Q6(b). (to Marks)

, Fie.Q6(b) Fig.e7(b)a. Derive the generalized Clapeyron's theorem of three moments. , (06 Marks)b. Analyze the continuous beam ABC shown in Fig.Q7(b), using Clapeyron's thoorem of three

rnbments. Hence draw BMD and SFD. Also sketch elastic curve. (14 Marks)

Find the horizontal thrust for the two hinged parabolic arch as shown in Fig.Q8. The moment ofinertia at any section is I. secO, wheie 0 is the slope at section and I. is M.I. at the crown.Neglect the effect of rib shortening. Draw BMD.

Fig.Q8*ri<*ri<*

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(20 Marks)

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