gujarat technological university... find the positive root of x = cosx correct to three decimal...

1

Seat No.: _____ Enrolment No.______

GUJARAT TECHNOLOGICAL UNIVERSITY B.E. Sem-IV Examination June- 2010

Subject code: 140001 Subject �ame: Mathematics-4 Date:15 / 06 /2010 Time: 10.30 am – 01.30 pm

Total Marks: 70

Instructions: 1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 Do as directed.

(a) Find the value of Re (f(z)) and Im (f(z)) at the indicated point

where

f(z) = z−1

1 at 7 + 2i.

(b) Find the value of the derivative of iz

iz

+

− at i .

(c) Find an upper bound for the absolute value of the integral ∫C

zdze , where C is

the line segment joining the points (0,0)and (1, 2 2 ).

(d) Evaluate ∫ +C

z

dz

12 , where C is | z + i | =1, counterclockwise.

(e) Develop f (z) = sin2z in a Maclaurin series and find the radius of convergence.

(f) Define : (i) Singular point (ii) Essential singularity

(iii) Removable singularity (iv) Residue of a function

(g) If f(x) = x

1 , find the divided differences [a,b] and [a,b,c].

Q.2 (a) Evaluate ∫−

1

0

2

dxe x by the Gauss integration formula with n=3.

(b) Compute f (9.2) from the following values using Newton’s divided difference

formula.

x 8 9 9.5 11.0

f((x) 2.079442 2.197225 2.251292 2.397895

(c) (i) Find the positive root of x = cosx correct to three decimal places by bisection

method.

(ii) Solve the following system of equations using partial pivoting by Gauss-

elimination method.

8x2 + 2x3 = −7 3x1 + 5x2 + 2x3 = 8

6x1 + 2x2 + 8x3 = 26

OR

(c) (i) Find the dominant eigen value of A =

43

21 by power method and hence

find the other eigen value also. Verity your results by any other matrix theory.

(ii) Solve the following system of equations by Gauss- seidal method.

(14)

(03)

(04)

(03)

(04)

(03)

(04)

2

10x1 + x2 + x3 = 6

x1 + 10x2 + x3 = 6

x1 + x2 + 10x3 = 6

Q.3 (a) Determine the interpolating polynomial of degree three using Lagrange’s

interpolation for the table below :

x -1 0 1 3

f(x) 2 1 0 -1

(b) Evaluate ∫ +

3

01 x

dx with n=6 by using Simpson’s

8

3 rule and hence calculate

log2. Estimate the bound of error involved in the process.

(c) Using improved Euler’s method, solve dx

dy + 2xy

2 = 0 with the initial

condition y(0)=1 and compute y (1) taking h = 0.2. Compare the answer with

exact solution.

OR

Q.3 (a) Find an iterative formula to find � (where N is a positive number) and

hence find 5 .

(b) Compute cosh 0.56 from the following table and estimate the error.

x 0.5 0.6 0.7 0.8

cosh x 1.127626 1.185465 1.255169 1.337435

(c) Apply Runge-Kutta method of fourth order to calculate y (0.2) given

dx

dy= x+y, y (0) =1 taking h=0.1

Q.4 (a) Find and plot all roots of 3 8i .

(b) Find out (and give reason) whether f (z) is continuous at z =0 if

f(z) = ,||

)Re( 2

z

zz ≠ 0

= 0 , z = 0

(c) Using residue theorem, evaluate ∫ −C

z

zz

14

sin2

2

dz, c : | z | = 2

(d) (i) Expand f (z) = z

e z−1in Laurent’s series about z =0 and identify the

singularity.

(ii) Find all solutions of sinz = 2.

OR

Q.4 (a) Solve the equation z2 – (5+i) z + 8 + i = 0.

(b) Show that if f(z) is analytic in a domain D and | f(z) | = k = const. in D, then

f (z) = const. in D.

(c) Find all Taylor and Laurent series of f(z) = 23

322 +−

+−

zz

zwith center 0.

(d) (i) Find the center and the radius of convergence of the power series

∑∞

=

+0

)2(n

nn zin

(04)

(05)

(05)

(04)

(05)

(05)

(03)

(03)

(04)

(02)

(02)

(03)

(03)

(04)

(02)

3

(ii) State and prove Cauchy’s residue theorem.

Q.5 (a) Find and sketch the image of region x ≥ 1 under the transformation w =z

1

(b) Using the residue theorem, evaluate ∫ −

π

θ

θ2

0sin35

d

(c) Evaluate ∫C

dzz ,)(Re 2 where C is the boundary of the square with vertices

0, i, 1 + i, 1 in the clockwise direction.

(d) (i) State and prove cauchy integral theorem.

(ii) Determine a and b such that u = ax3 + bxy is harmonic and find a

conjugate harmonic.

OR

Q.5 (a) Define Mobius transformation. Determine the mobius transformation that

maps z1= 0, z2 = 1, z3 = ∞ onto w1 = -1, w2 = -i, w3 = 1 respectively.

(b) Using contour integration, show that ∫∞

=+

0

4221

π

x

dx

(c) Evaluate ∫ −C

z

zz

e3)1( dz, where C is (a) | z | =

2

1 (b) | z-1 | =

2

1.

(d) Check whether the following functions are analytic or not.

(1) f(z) = 2

5

z (ii) f(z) = z

***********

(02)

(03)

(03)

(04)

(02)

(02)

(03)

(03)

(04)

(04)

1


GUJARAT TECHNOLOGICAL UNIVERSITY B.E. Sem-IV Remedial Examination Nov/ Dec. 2010

Subject code: 140001 Subject Name: Mathematics-4 Date: 27 / 11/2010 Time: 03.00 pm – 06.00 pm

Total Marks: 70




Q.1 (a) State the necessary and sufficient condition for a function to be analytic and

prove the necessary condition. 05

(b) Attempt the following. 09

1. Show that if c is any nth root of unity other than unity itself,

then2 11 0nc c c −+ + + −−−−+ = .

2. Show that ( ) 3 2, 2 3u x y x x xy= − + is harmonic in some domain and

find a harmonic conjugate ( ),v x y .

3. Discuss the convergence of( )( )

( )20

2 !3

!

n

n

nz i

n

∞

=

−∑ and also find the radius

of convergence.

Q.2 (a) Attempt the following.

1.

Define bilinear transformation. Also find the bilinear transformation

which maps the points 1, , 1z i= − into the points , 0, w i i= − . Hence

find the image of 1z < .

05

2. Evaluate .C

z dz∫ . Where C is the right-half of the circle 2z = . Hence

show thatC

dzi

zπ=∫ .

03


1. Find the image of infinite strip 1 1

4 2y≤ ≤ under the

transformation1

wz

= . Also show the region graphically.

2. Define residue at simple pole and find the sum of residues of the

function ( ) sin

cos

zf z

z z= at its poles inside the circle 2z = .

OR


1. State Cauchy’s integral formula and hence evaluate( )

2

41

z

C

edz

z +∫� ;

where C is the circle 3z = .

2

2. Expand ( )( )( )

1

1 2f z

z z= −

− −in the region

a) 1z < b) 1 2z< < c) 2 z< < ∞

Q.3 (a) State and prove Cauchy Goursat theorem. 05


1. Write the two Laurent series expansion in powers of z that represent

the function ( )( )2

1

1f z

z z=

−in certain domains, and also specify

domains.

2. Perform the five iterations of the bisection method to obtain a root of

the equation ( ) cos 0xf x x xe= − = .

3. Compute the real root of ( ) 2sin 0f x x x= − = , correct up to 6

decimal places using Secant method, starting from 0 12, 1.9x x= = .

OR

Q.3

(a) Using an indentation along a Branch cut show that 0

sin.2

xdx

x

π∞

=∫ 05


1. State Cauchy’s residue theorem and evaluate( )5 2

1C

zdz

z z

−−∫ . Where C is

the circle 2z = .

2. Use power method to find the largest of Eigen values of the

matrix4 2

1 3A

=

. Perform four iterations only.

3. Find a real root of the 3

1 0x x+ − = correct up to six places of decimal

places.

Q.4 (a) Compute ( )cosh 0.56 using Newton’s forward difference formula and also

estimate the error for the following table.

x 0.5 0.6 0.7 0.8

( )f x 1.127626 1.185465 1.255169 1.337435

05


1. Solve the following linear system of equations by Gauss elimination

method

2 3

1 2 3

1 2 3

8 2 7

3 5 2 8

6 2 8 26

x x

x x x

x x x

+ = −

+ + =

+ + =

2. State Trapezoidal rule with n=10 and evaluate2

1

0

xe dx−∫ .

3. Evaluate

3

1

sin x dx∫ using Gauss Quadrature of five points. Compare

the result with analytic value.

3

OR

Q.4 (a) State Newton’s divided difference interpolation formula and compute

( )9.2f from the following data.

jx 8.0 9.0 9.5 11.0

( )j

f x 2.079442 2.197225 2.251292 2.397895

05


1. Solve the following linear system of equations by Gauss-Seidel

1 2 3

1 2 3

1 2 3

10 12

2 10 13

2 2 10 14

x x x

x x x

x x x

+ + =

+ + =

+ + =

2. The speed, v meters per second, of a car, t seconds after it starts, is show in

the following table.

t 0 12 24 36 48 60 72 84 96 108 120

v 0 3.60 10.08 18.90 21.60 18.54 10.26 4.50 4.5 5.4 9.0

Using Simpson’s 13rule, find the distance travelled by the car in 2 minutes.

3. State Simpson’s 38-rule and evaluate

1

2

01

dx

x+∫ taking1

6h = .

Q.5 (a) Explain the Euler’s method to find Numerical solution

of ( ) ( )0 0, , ydy

f x y x ydx

= = .

05


1. Use Runge–Kutta second order method to find the approximate value

of (0.2)y given that 2& (0) 1 & 0.1dy

x y y hdx

= − = =

2. Use Euler method to find (1.4)y given that 1

2 , (1) 1dy

xy ydx

= =

3. Use Taylor’s series method to solve 2 1, (0) 1dy

x y ydx

= − = .

Also find (0.03)y .

OR

Q.5 (a) Derive the Newton Raphson iterative scheme by drawing appropriate figure. 05


1. Use Runge-Kutta fourth order method to find ( )1.1y , given that

( ), 1 =1 and 0.05.dy

x y y hdx

= − =

2. Find the Lagrange interpolating polynomial from the following data

x 0 1 4 5

( )f x 1 3 24 39

3. Set up a Newton iteration for computing the square root x of a given

positive number c and apply it to c=2

**********

1


GUJARAT TECHNOLOGICAL UNIVERSITY B. E. Sem - IV Examination - June- 2011

Subject code: 140001

Subject Name: Mathematics-4 Date:02/06/2011 Time: 10.30 am – 01.30 pm

Total Marks: 70




Q.1 (a) Use residues to evaluate

05

(b) 1.Find real and imaginary part of . 03

2.Check whether the following functions are analytic or not at any point:

a. b.

03

3.Prove that 03

Q.2 (a) 1.Evaluate where is defined by

and is the arc from

to along the curve

03

2.Evaluate ,where is the circle

03

(b) 1.Find the Laurent’s expansion of

in the region .

04

2.Find bilinear transformation which maps the points onto

the points Hence find the image of

04

OR

(b) 1.Show that is harmonic in some domain

and find a harmonic conjugate of .

04

2.Find the image of the semi-infinite strip when

Sketch the strip and its image

04

Q.3 (a) Determine the poles of the function and residue at each

pole. Hence evaluate where is the circle

05

(b) Express the function as a sum of partial fraction, using

Lagrange’s formula.

05

(c) State Trapezoidal rule with n=10 and evaluate 04

OR

Q.3 (a) Evaluate by integrating around a unit circle. 05

(b) From the following table, find using Newton’s divided difference

formula.

1 2 7 8

1 5 5 4

05

(c) Evaluate taking h=1 using Simpson’s 1/3 rule.Hence,obtaine an

approximate value of

04

2

Q.4 (a) Employ Stirling’s formula to compute from the following table.

20 30 40 50

512 439 346 243

05

(b) With the usual notation, show that

(1). (2).

05

(C) Solve: by Gauss

elimination method.

04

OR

Q.4 (a) Solve the following system of equation by using Gauss-Seidel method

correct up to two decimal places.

05

(b) Using Newton’s forward formula,find the value of if

1 1.4 1.8 2.2

3.49 4.82 5.96 6.5

05

(c) Use power method to find the largest eigen value of the matrix

A

04

Q.5 (a) Find a root of the equation , using the bisection method in

four stages.

05

(b) Using Taylor series method, find correct to four decimal places, the value

of ,given and

05

(c) Find the positive root of using Newton’s method correct to 3

decimal places.

04

OR

Q.5 (a) Apply the fourth order Rung-Kutta method to find ,given

(Take h=0.1)

05

(b) Develop a recurrence formula for finding using Newton-Raphson

method and hence compute to three decimal places.

05

(c) Using Euler’s method, Find given

(Take h=0.1)

04

*************

1

Seat No.: _________ Enrolment No._______________

GUJARAT TECHNOLOGICAL UNIVERSITY BE SEM-IV Examination-Nov/Dec-2011

Subject code: 140001 Date: 21/11/2011

Subject Name: Mathematics-4

Time: 02.30 pm -5.30 pm Total marks: 70

Instructions:

1. Attempt all questions.



Q.1 Do as Directed: 14

(i) Show that ( ) Im( )f z z z= is differentiable only at 0z =

and'(0) 0f = .

(ii) Find the principal argument of2

1 3z

i

−=

+.

(iii) Find and plot all the roots of

1

3(1 )i+ .

(iv) Show that the set of values of 2log( )i is not the same as the set of

values 2log i .

(v) Find the maclurin series representation of ( ) sinf z z= in the

region z < ∞ .

(vi) Evaluate

4 2

0

i

zdz

+

∫ along the curve2z t it= + .

(vii) Find the residue at 0z = of1

( ) cosf z zz

= .

Q.2 (a) (i) Evaluate

1

2

01

dx

x+∫, using trapezoidal rule with 0.2h = .

(ii) Compute f(8) from the following values using Newton’s

Divided difference formula.

x 4 5 7 10 11 13

( )f x 48 100 244 900 1210 2028

03

04

(b)

(i) Perform the five iterations of the bisection method to

Obtain a root of the equation 3( ) 1 0f x x x= − − = .

(ii) Solve the following system of equations by Gauss-Seidel

Method correct to three decimal places.

2 54 110

27 6 85

6 15 2 72

x y z

x y z

x y z

+ + =

+ − =

+ + =

03

04

OR

2

(b) (i) Solve the following system of equation using Gauss

Elimination method with partial Pivoting.

7

3 3 4 24

2 3 16

x y z

x y z

x y z

+ + =

+ + =

+ + =

(ii) Find the dominant eigen value of 2 3

5 4A

=

by power

Method.

04

03

Q.3 (a) Define mobius transformation .Also find the image of the circle 1z = in the

w-plane under the mobius transformation ( )1

z if z

izω

−= =

−. Also find the fixed

points of f.

05

(b) Attempt the following:

(i) State Cauchy’s integral formula and hence evaluate sin3

2c

zdz

zπ

+∫�

where C is the circle 5z = .

(ii) Show that 2 2

( , ) cos(2 )x yu x y e xy−= is harmonic everywhere and find a

conjugate harmonic for ( , )u x y .

(iii) Expand 1

( )( 1)( 3)

f zz z

=+ +

in Laurent’s series in the

interval1 3z< < .

09

OR

Q.3 (a) Evaluate

sinh 2C

dz

z∫� , where : 2C z = . 05

(b) (i) Using the residue theorem, evaluate

2

0

4

5 4sin

dπ θ

θ+∫ .

(ii) Prove that all the roots of 7 35 12 0z z− + = lie between the

Circles 1z = and 2z = , using Rouche’s theorem.

(iii) Find the principal value of

3

( 1 3)2

ie

i

π

− − .

09

Q.4 (a) (i) Using Lagrange’s formula to fit a polynomial to the data

x -1 0 2 3

y 8 3 1 12

And hence find ( 2)y x = .

(ii) A river is 80 meters wide. The depth ’d’ in meters at a distance x meters from

one bank is given by the following table calculate the area of cross-section of the

river using Simpson’s 1

3

rd

rule

x 0 10 20 30 40 50 60 70 80

d 0 4 7 9 12 15 14 8 3

04

05

3

(b) Using improved Euler’s method, solve 1

dyy

dx= − with the initial condition

(0) 0y = and tabulate the solutions at 0.1,0.2x = . Compare the answer with exact

solution.

05

OR

Q.4 (a) Evaluate

1

01

dt

t+∫ by the Gaussian formula with one point, two point and three points.

05

(b) (i) Find the value of 0sin52 from the following table 0θ 045 050 055 060

0sinθ 0.7071 0.7660 0.8192 0.8660

(ii) Find to four decimal places , the smallest root of the equation sin xx e−=

using the Newton-Raphson starting With 0 0.6x = .

05

04

Q.5 (a) (i)Given: 2 210 , (0) 1

dyx y y

dx= + = .Using fourth order Runga -Kutta method. Find y

(0.2) with h=0.1. (ii) Use Euler’s method to obtain an approximate value of y(0.4)

For the equation ' , (0) 1y x y y= + = with h=0.1.

05

04

(b) Evaluate the integral

5.2

4

logexdx∫ using Simpson’s 3

8

th

rule. 05

OR

Q.5 (a) (i) Find the image of the region bounded by 1 2r≤ ≤ and

6 3

π πθ≤ ≤ in the z-

plane under the transformation 2w z= .Show the regions graphically.

(ii) Check whether the function ( ) sinf z z= is analytic or not. If analytic, find its

derivative.

05

04

(b) Evaluate

2 2

2

sin cos

( 1) ( 2)C

z zdz

z z

π π+

− −∫ where C is the circle 3z = . 05

*************

1

Seat No.: ________ Enrolment No.______________

GUJARAT TECHNOLOGICAL UNIVERSITY BE- IV

th SEMESTER–EXAMINATION – MAY/JUNE- 2012


Subject Name: Mathematics-IV

Time: 10:30 am – 01:30 pm Total Marks: 70

Instructions:




Q.1 (a) (1) Is )()()( 2121 zArgzArgzzArg += ? Justify. 02

(2) Classify the poles of ( )

62

1

zzzf

−= .

02

(3) Evaluate

( )∫+C z

dz22 1

where 1: =+ izC . 03

(b) (1) Let 0>> ba . Prove that

( )( )

−

−=

++

−−∞

∞−

∫ a

e

b

e

badx

bxax

x ab

222222

cos π.

04

(2) Define fixed point of bilinear transformation. Find fixed point of

z

zw

1+= . Verify your result.

02

(3) Sketch ( ){ }2Im1/ <<−= zzS . Is it Connected? 01

Q.2 (a) (1) Define Domain. Is the set 221 ≤+− iz domain? 02

(2) Define ( )yixLog + . Determine ( )iLog −1 . 02

(3) Discuss the rate of convergence of Newton Raphson’s method. 03

(b) (1) Prove

331

lim izi

z=

→ by definition.

03

(2) Verify that C – R equations are satisfied at 0=z for function

( )

=

≠=

00

0

2

zif

zifz

zzf

04

OR

(b) (1) Suppose that ( )zf and ( )zf both are analytic in a domain D .

Prove that ( ) =zf constant.

04

(2) Define Harmonic function. Show that

yxyyxxu sinhcoscoshsin −= is harmonic.

03

Q.3 (a) (1) Evaluate ∫C

dzz from iz −= 1 to iz 23 += along the straight line. 05

(2) Determine the bilinear transformation which mapping the points

i,,0 ∞ in to 0,1,∞ .

02

(b) (1) Expand ( )

( ) ( )42

1

++=

zzzf valid for the region (i) 2<z

(ii) 42 << z (iii) 4>z

05

(2) Define the isolated singular point and give an example. 02

OR

2

Q.3 (a) (1) Evaluate ( ) dzyixC

∫ −22 along the parabola 22 xy = from ( )2,1 to

( )8,2 .

04

(2) Determine and sketch the image of 1=z under the transformation

izw += .

03

(b) (1) Find the series of ( )

( )( )41 −−=

zz

zzf in terms of ( )3+z valid for

43 <+z .

05

(2) Find the residue of ( )

3

1

z

ezf

z−

= at 0=z . 02

Q.4 (a) (1) Find the negative root of 0373=+− xx by bisection method up to

three decimal places.

04

(2) Describe Euler’s Method for first order ordinary differential equation. 03

(b) (1)

Determine the largest eigen values of

−

=

113

1110

411

A by power

method.

04

(2) Obtain the Newton – Raphson formula from Taylor’s Theorem. 03 OR

Q.4 (a) (1) Let f(40)=836, f(50)=682, f(60)=436, f(70)=272. Use stirling’s

formula to find f(55).

04

(2) Find a root of 071034=++− xxx correct to three decimal places

between 2−=a and 1−=b by Newton – Raphson Method.

03

Q.4 (b) (1) Derive Secant Method and solve 01 =−x

ex correct to three decimal

places between 0 and 1.

04

(2) Write ( ) 122234

+−+−= xxxxxf in factorial notation and find

( )xf4

∆ .

03

Q.5 (a) (1) Determine ( )1.0y and ( )2.0y correct to four decimal places from

( ) 10,2 =+= yyxdx

dy.

Use fourth order Runge-Kutta method.

04

(2) Determine the polynomial by Newton’s forward difference formula

from the following table.

x 0 1 2 3 4 5 y -10 -8 -8 -4 10 40

03

(b) (1) Consider following tabular values.

x 50 100 150 200 250 y 618 724 805 906 1032

Determine ( )300y .

03

(2) Consider following tabular values.

x 25.0 25.1 25.2 25.3 25.4 25.5 25.6

( )xfy = 3.205 3.217 3.232 3.245 3.256 3.268 3.280

Determine the area bounded by the given curve and X – axis between

x=25 to x=25.6 by Trapezoidal rule and Weddle’s rule.

04

OR

3

Q.5 (a) (1) Consider the following values.

x 10 11 12 13 14 15 16 y 1.02 0.94 0.89 0.79 0.71 0.62 0.55

Find ∫16

10

dxy by Simpson’s 3

1 rule and Weddle’s rule.

04

(2) Solve yx

dx

dy23 += where ( ) 10 =y for 1.0=x by Picard’s method.

03

(b) (1) Determine ( )12y by Lagrange Interpolation from following values.

x 11 13 14 18 20 23 y 25 47 68 82 102 124

03

(2) Solve the following system of linear equations by Gauss Jordan

Method.

437,245,1352 =++=++=−+ zyxzyxzyx

04

*************


GUJARAT TECHNOLOGICAL UNIVERSITY

B. E. - SEMESTER – IV • EXAMINATION – WINTER 2012

Subject code: 140001 Date: 30/12/2012 Subject Name: Mathematics-IV Time: 02.30 pm - 05.30 pm Total Marks: 70 Instructions:

1. Attempt any five questions. 2. Make suitable assumptions wherever necessary. 3. Figures to the right indicate full marks.

1

Q.1 (a) Use the - definition of limit to show that , where

03

(b) Prove that if and only if 01 (c) Show that for all 02 (d) Expand 02 (e) Find all roots of the equation 02 (f) Given the data below, find the isothermal work done on the

gas as it is compressed from 22 L to 2 L. Use

V, L 2 7 12 17 22 P, atm 12.20 3.49 2.04 1.44 1.11

Use Trapezoidal rule.

04

Q.2 (a) (i) Find the analytic function if . 03

(ii) Choosing , writing and assigning , apply the power method to find eigen value of matrix , compute the Rayleigh quotient and an error bound at this stage, where

04

(b) (i) Find the bilinear transformation which maps the points onto the points respectively. Also

find its fixed points.

03

(ii) Find a zero of the function , with starting point by Newton-Raphson Method. Could be used for this problem?

04

OR (b) (i) Show that when the transformation

maps the lower half plane onto the

unit disk

03

(ii) Use bisection method to find a root of the equation in the interval [1, 2]. Find the relative

percentage error at each iteration. Use four iterations.

04

Q.3 (a) (i) State and prove Cauchy-Riemann conditions for a function to be analytic.

03

(ii) Let a function be analytic in a domain D. Prove that must be constant in D in each of the following cases: (a) if is real valued for all z in D, (b) if is analytic in D.

04

2

(b) (i) Use residues to evaluate the integrals of the function around the circle in the positive sense.

03

(ii) The shear stress in kips, per square foot (ksf) for 5 specimens in a clay stratum are:

Depth, m

1.9 3.1 4.2 5.1 5.8

Stress, ksf

0.3 0.6 0.4 0.9 0.7

Use Newton’s divided-difference-interpolating polynomial to compute the stress at 4.5 m depth.

04

OR Q.3 (a) (i) The function satisfies the

Cauchy-Riemann equations at the origin, but fails to exist.

03

(ii) Derive the Taylor’s series representation where

04

(b) (i) Show that the singular point of the function is a pole. Determine the order of that

pole and the corresponding residue.

03

(ii) Compute from the tabular value given 2 3 5 7

0.1506 0.3001 0.4517 0.6259 using Lagrange interpolating polynomial.

04

Q.4 (a) Evaluate the integral by the Gaussian

formula for

03

(b) Given that when and Use second order Runge-Kutta method(i.e. Heun method) to approximate when 2. Use step size 0.1.

03

(c) Apply Gauss elimination method to solve the following system of simultaneous linear equations:

04

(d) Describe geometrically the transformation State why it transforms circles and lines into circles and lines.

04

OR Q.4 (a) Evaluate the integral by Simpson’s 1/3rd

rule with taking 6 subintervals. Use four digits after decimal point for calculations.

03

(b) Show that the transformation maps the top half ( ) of the line in a one to one manner onto the half ( ) of the left hand branch of hyperbola .

03

(c) Check whether the following system is diagonally dominant or not. If not, rearrange the equations so that it becomes diagonally dominant and hence solve the system of simultaneous linear equations by Gauss-Seidel method.

04

(d)

Solve the differential equation with fourth order Runge-Kutta method, where to

to with .

04

Q.5 (a) Show that when

05

(b) Evaluate .

05

(c) Determine the angle of rotation at the point when the transformation is and illustrate it for some particular curve. Show that the scale factor of the transformation at that point is .

04

OR Q.5 (a) What is the largest circle within which the Maclaurin series

for the function converges to ? Write the first two nonzero terms of that series.

05

(b) Find the value of the integral taken

counterclockwise around the circle

05

(c) Use Rouche’s theorem to determine the number of zeros of the polynomial inside the circle

04

*************

3

1

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY BE - SEMESTER–IV • EXAMINATION – SUMMER 2013

Subject Code: 140001 Date: 05-06-2013 Subject Name: Mathematics - IV Time: 10.30 am - 01.00 pm Total Marks: 70 Instructions:

1. Attempt all questions. 2. Make suitable assumptions wherever necessary. 3. Figures to the right indicate full marks.

2

*************

1



Subject code: 140601 Subject �ame: Advanced Surveying Date: 17 / 06 /2010 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) Differentiate (i) Fixed hair method and Movable hair method (ii) Plane

surveying and Geodetic surveying.

07

(b) Derive the formula for finding the Distance and elevation of staff station by

techeometer when staff is held vertical.

07

Q.2 (a) Define: (i)Azimuth (ii)Nadir (iii)Zenith (iv)Latitude (v) Longitude

(vi)Residual error (vii) Most probable value.

07

(b) Following readings of levels were carried out 2.335, 2.345, 2.350, 2.300,

2.315, 2.305, 2.325 and 2.315.

Calculate (i) Probable error for single observation

(ii) Probable error for mean

07

OR

(b) What is basic principle of remote sensing? Discuss active and passive

remote sensing.

07

Q.3 (a) Describe principle of triangulation system and show schematically different

sets of triangulation figures.

07

(b) Determine gradient from point A to point B from following observations

made using techeometer fitted with anallatic lens at instrument station P for

staff held vertically.

Staff point Bearing Vertical angle Staff reading

A 130o +10

o40’ 1.360, 1.915, 2.470

B 220o +5

o20’ 1.065, 1.885, 2.705

07

OR

Q.3 (a) What is base line? How is it selected? Describe the procedure of its

extension.

07

(b) What is tacheometer? Explain the procedure of finding its coefficients in

the field.

07

Q.4 (a) What is function of aerial camera? Describe schematically its essential

parts.

07

(b) What is meant by scale of vertical photograph? Determine scale of

photograph for terrain lying at elevation of 50 m and 200m if vertical

photograph was taken at altitude of 1200 meters. Take focal length of

camera as 15 cm.

07

OR

Q.4 (a) Define: (i)Tilt (ii)Isocentre (iii)Overlap (iv)Side lap (v) Crab (vi)Drift (vii)

Principal point

07

2

(b) The scale of an aerial photograph is 1 cm = 100 cm and photograph size is

15 cm x 15 cm. Determine the number of photographs required to cover an

area of 15 km x 15 km if longitudinal lap is 60% and side lap is 30%.

07

Q.5 (a) Enumerate different types of EDM instruments and describe briefly the

salient features of Total station.

07

(b) What are the properties of electromagnetic waves? Draw complete

electromagnetic spectrum showing all wavelengths.

07

OR

Q.5 (a) What are the objectives of GIS? Discuss the key components of GIS. 07

(b) Explain schematically the interaction of electromagnetic radiations with

earth and water surfaces.

07

*************

1



Subject code: 140601 Subject Name: Advanced Surveying Date: 01 / 12 / 2010 Time: 03.00 pm – 05.30 pm

Total Marks: 70




Q.1 (a) What is the principle of tacheometry?

Derive the expressions for horizontal and vertical distances in the fixed hair

method when the staff is held vertically and the measure angle is that of

elevation.

07

(b) To determine the distance between two stations A and B, a tacheometer was set

up at a point P on the line AB and the following observations were obtained on a

staff vertically held

07

Instrument

station

Staff

station

Vertical

angle

Staff

Readings

Remark

A + 8˚ 24´ 2.225,

2.605,

2.985

P

B - 1˚ 06´ 1.640,

1.920,

2.200

R. L.

of

A

is

50.000

M

Calculate the horizontal distance AB and RL of B when the constants of

instrument are 100 and 0.00.

Q.2 (a) Explain in detail the field procedure of tacheometric survey which you have

carried out.

07

(b) Describe how a total station has brought revolution in surveying.

Describe briefly the salient features of total station.

07

OR

(b) Describe Global Positioning System (GPS) in detail. 07

Q.3 (a) What is meant by triangulation? How will you select base line and triangulation

stations? Explain strength of figure.

07

(b) The altitudes of two proposed stations A and B, 100 km apart, are respectively

420 m and 700 m. The intervening obstruction situated at C, 70 km from A has

an elevation of 478 m. Ascertain if A and B are intervisible, and, if necessary,

find by how much B should be raised so that the line of sight must nowhere be

less than 3.10 m above the surface of the ground.

07

OR

Q.3 (a) Define weight of an observed quantity? Discuss various laws of weights. 07

(b) Determine the most probable values of the angles of a triangle PQR, from the

following given data. Use method of correlates.

∠P = 62° 14′ 12″ weight 1

∠Q = 48° 12′ 14″ weight 3

∠R = 69° 33′ 28″ weight 2

07

2

Q.4 (a) Explain the following astronomical terms:

(i) The celestial sphere (ii) The hour angle

(iii) The horizon and (iv) Declination

Also write uses of field astronomy

07

(b) Find the hour angle and declination of a star from the following data:

Latitude of place = 48˚ 30’ N

Azimuth of star = 50˚ W

Altitude of star = 28˚ 24’.

07

OR

Q.4 (a) What is relief displacement? Derive an expression for the relief displacement in a

vertical photograph.

07

(b) A straight length of a highway AB appears to be 12.5 cm on a vertical air

photograph of 15 cm focal length. The corresponding distance of the highway on

a 1: 50,000 topographical map is 6.25 cm. Assuming the average elevation of the

terrain as 1250 m above M.S.L., calculate the flying height of the camera above

mean sea level.

07

Q.5 (a) Explain the basic principle of remote sensing.

Discuss image interpretation techniques.

07

(b) Explain various methods of interaction of EM radiation with matter What is the

effect of EM radiation of the earth’s surface?

07

OR

Q.5 (a) Define GIS. What are the key components of GIS?

Write functions of GIS.

07

(b) Explain the various applications with suitable examples of Remote Sensing and

GIS in civil engineering.

07

*************

1


GUJARAT TECHNOLOGICAL UNIVERSITY B. E. Sem-IV Examination June- 2011

Subject code:140601

Subject Name: Advanced Surveying Date:06/06/2011 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) Derive the expression for the horizontal and vertical distances in the fixed

hair method when the staff is held vertically and the measured angle is that of

elevation.

07

(b) The following observations were taken using a tacheometer fitted with an

anallatic lens, the staff being held vertically. The constant of tacheometer is

100.

Inst.

st.

Height

of axis

Staff

station

Vertical

angle

Hair readings Remarks

P 1.45 B.M - 60 12’ 0.98,1.54,2.10

P 1.45 Q + 70 5’ 0.83,1.36,1.89

Q 1.57 R +120 21’ 1.89,2.48,3.07

R.L of

B.M

=384.25

m

Determine the distances PQ and QR and the R.Ls of P,Q and R

07

Q.2 (a) Define weight of an observed quantity. Discuss various laws of weights. 07

(b) Define accidental error, true value, direct observation, conditioned quantity,

most probable value, true error, normal equation.

07

OR

(b) Determine the most probable values of the angles of a triangle ABC, given

by the following data.

<A = 620 14’ 12’’ Weight = 1

<B = 480 12’ 14’’ Weight = 3

<C = 690 33’ 28’’ Weight = 2

07

Q.3 (a) What is relief displacement? Derive an expression for the relief displacement

in a vertical photograph.

07

(b) A line AB measures 11.00 cm on a photograph taken with a camera having a

focal length of 21.5 cm. The same line measures 3 cm on a map drawn to

scale of 1/45000. Calculate the flying height of the aircraft, if the average

altitude is 350 m.

07

OR

Q.3 (a) Define celestial sphere, zenith, nadir, vertical circles, latitude, longitude,

azimuth

07

(b) Determine the azimuth and altitude of a star from the following data.

Latitude of the observer = 480 N

Hour angle of star = 430

Declination of star = 180 20’ N

07

Q.4 (a) What is triangulation? What are the factors that affect the selection of

triangulation stations?

07

(b) Explain the extension of base with neat sketch. 07

2

OR

Q.4 (a) Explain the basic principle of EDM. Write a brief note on Electromagnetic

spectrum.

07

(b) Write a short note on Total station. 07

Q.5 (a) Define remote sensing. Enlist types of remote sensing. List the applications

of remote sensing.

07

(b) Write a short note on Global Positioning System. 07

OR

Q.5 (a) Define GIS. Enlist key components of GIS. Explain applications of GIS in

civil engineering.

07

(b) Write short note on Geospatial analysis. 07

*************

1



BE SEM-IV Examination-Nov/Dec-2011


Subject Name: Advanced Surveying


Instructions:




Q.1 (a) What is tacheometric surveying ? What are the advantages of

tacheometric surveying ? Explain various methods of tacheometry.

07

(b) The following readings refer to a closed traverse ABCDA run by a

tacheometer fitted with anallatic lens. The constant of the instrument

was 100 and the staff was normal.

Line Bearing Vertical

angle

Staff

intercept

AB 40˚ 20' + 4˚ 00' 1.750

BC 310˚ 40' + 3˚ 10' 1.480

CD 220˚ 00' + 2˚ 20' 1.670

Find the length and bearing of DA.

07

Q.2 (a) The altitude of two proposed stations A and B 121 km apart are

respectively 211 m and 1120 m. The altitude of two points C and D

on the profiles between them are respectively 290 m and 647 m, the

distances being AC=40 km and AD=85 km. Determine whether A

and B are intervisible, and if necessary, find the maximum height of

a scaffolding at B, assuming A as the ground station.

07

(b) What is triangulation in geodetic surveying ? List the objects of

geodetic triangulation. Classify triangulation systems with details.

07

OR

(b) Discuss (i) Selection of triangulation station (ii) Reduction to centre

in geodetic triangulation.

07

Q.3 (a) Enlist the rules should be applied for the distribution of errors of the

field measurements.

The following are the three angles observed at a station closing the

horizon, along with their probable errors of measurements.

Determine their corrected values.

A= 85˚ 13' 10" ±2" , B= 130˚ 49' 30" ±3" , C= 143˚ 57' 10" ±4"

07

(b) Define the following astronomical terms :

(i) The Zenith and Nadir (ii) The Sensible Horizon (iii) The Visible

Horizon (iv) The Latitude (v) The Longitude (vi) Equinoctial Points

(vii) The Ecliptic.

07

OR

2

Q.3 (a) Define : (i) True Error (ii) Most Probable error (iii) Residual error.

The observed values of an angle are given below :

Find (i) probable error of single observation values of unit weight

(ii) probable error of weighted arithmetic mean

(iii) probable error of single observation of weight 3.

Angle Weight

85˚ 40' 20" 2

85˚ 40' 18" 2

85˚ 40' 19" 3

07

(b) What is Azimuth ? Explain various methods for determination of

Azimuth of a survey line.

07

Q.4 (a) Define the following terms used in aerial photogrammetry :

(i) Oblique Photograph (ii) Exposure station (iii) Focal length

(iv) Principal point (v) Nadir point (vi) Isocentre (vii) Swing.

07

(b) Write a short note on Total station. 07 OR

Q.4 (a) Write short note on (i) Stereoscope (ii) Parallax Bar. 07

(b) Classify the Electromagnetic distance measurement instruments

depending upon the type of carrier wave employed. Write a short

note on Geodimeter.

07

Q.5 (a) Write a short note on an idealized Remote Sensing system. 07

(b) What is Geographical Information System (GIS) ? Explain key

components of GIS. List various functions of GIS.

07

OR

Q.5 (a) What is meant by Remote Sensing? Explain principles of

electromagnetic energy interaction in atmosphere and with earth

surface.

07

(b) What are the applications of Geographical Information System (GIS)

in Civil engineering ? Write a short note on Geospatial analysis.

07

*************

1





Subject Name: Advanced Surveying


Instructions:




Q.1 (a) What is tangential method of tacheometry? Derive the expressions for horizontal

and vertical distances by the tangential method when both the angles measured

are those of elevation.

07

(b) To determine the gradient between two points P and Q, a tacheometer was

set up at another station R and the following observations were taken,

keeping the staff vertical.

07

Staff at Vertical angle Stadia readings

P +4° 40′ 1.210,1.510,1.810

Q -0° 40′ 1.000,1.310,1.620

If the horizontal angle PRQ is 36°20′, determine the average gradient between

P and Q. Take A=100, B=0 and RL of HI=100 M.

Q.2 (a) What are the factors that affect the selection of triangulation stations?

What considerations you would have while selecting the site for the base

line?

07

(b) The following are the angles observed at a triangular traverse along with their

probable errors. Determine correct values of angles

. ∠A = 64° 12′ 12″ ± 02″

∠B = 50° 48′ 30″ ± 04″

∠C = 64° 59′ 08″ ± 05″

07

OR

(b) There are two stations A and B at elevations of 200 m and 1000 m,

respectively. The distance between A and B is 100 km. If the elevation of a

peak P at a distance of 30 km from A is 300 m, show that stations A and B

are intervisible.

07

Q.3 (a) What is meant by the strength of figure? How would you determine it? 07

(b) Explain the method of correlates. What are its advantages over the normal

equation method? 07

OR

Q.3 (a) What are the various types of errors in surveying measurements?

Give one example of each. Define weight of a quantity.

07

(b) What are the various corrections for the base line? Discuss in brief. 07

Q.4 (a) What is latitude of a place? Prove that the altitude of the pole is always

equal to the latitude of the observer’s position.

07

(b) Calculate the minimum number of photographs to provide a stereoscopic

cover for a fairly level area with the following specifications:

07

Scale of photography 1:10,000

Length of strip 50 km

Average fore and aft overlap 60%

Size of photographs 23 cm x 23 cm

2

OR

Q.4 (a) What is vertical photograph? Derive an expression for the scale of a vertical

photograph. How would you determine the scale of a given vertical photograph? 07

(b) What is the principle of E.D.M.? Discuss electromagnetic waves and

electromagnetic spectrum.

07

Q.5 (a) What do you mean by GPS? Give an overview of GPS. Describe briefly the

uses and applications of GPS.

07

(b) Define GIS. Write its objectives .Briefly describe the applications of GIS.

Discuss, how closely GIS is related to remote sensing.

07

OR

Q.5 (a) What is remote sensing? State how it differs from photogrammetry.

Describe energy interaction with atmosphere and earth surface features.

07

(b) What are the key components of GIS? Explain geospatial analysis. 07

*************

1


GUJARAT TECHNOLOGICAL UNIVERSITY B. E. - SEMESTER – IV • EXAMINATION – WINTER 2012

Subject code: 140601 Date: 27/12/2012 Subject Name: Advanced Surveying Time: 02.30 pm - 05.00 pm Total Marks: 70 Instructions:


Q.1 (a) Explain principle of stadia method. 07

(b) Explain the theory of least squares. 07Q.2 (a) Explain scale of vertical photograph. 07

(b) The scale of an aerial photography is 1 cm = 100m. The photograph size is 20 cm x 20 cm . Determine the number of photographs required to cover an area 10 km x 10 km, if the longitudinal lap is 60% and the side lap is 30%.

07

OR (b) From a satellite station ‘E’ at a distance of 5.2 m from the main

triangulation station ‘D’ the following directions or angles were observed: D, 00 ,0’,0”, A 1500, 20’, 20”, B, 2070, 46’, 20”, C, 2810,34’, 20” l(DA)= 2970.2m, l(DB)= 3890.4m, l(DC)= 2578.5m Determine the direction of DA DB and DC

07

Q.3 (a) Explain “ Laws of Weights”. 07 (b) Find the gradient from P to Q using the data given in Table

Instrument Staff Line Bearing Vertical angle Cross hair reading at at _____________________________________________________________ A P AP 840 36’ 30 30’ 1.35, 2.10, 2.85 A Q AQ 1420 24’ 20 45’ 1.9555, 2.875, 3.765 The staff was held normal to the line of sight in both cases. Value of tacheometric constants is 100 and 0.3.

07

OR Q.3 (a) State the various points to be broadly considered in selection of base line. 07

(b) Find the most probable value of the angle A from the following observation equations. A = 300 28’ 40” weight 2. 3A = 910 25’ 55” weight 3.

07

Q.4 (a) Explain following terms with the neat sketch Vertical circle, observer meridian, altitude of star, declination of star, hour angle, azimuth, nautical mile, ecliptic.

07

(b) Explain electromagnetic spectrum. 07 OR

Q.4 (a) What is total station ? State its field applications. 07 (b) What is spherical triangle? State the properties of spherical triangle. 07

Q.5 (a) Explain integration of Remote sensing and GIS. 07 (b) Determine the hour angle and declination of a star from the following data:

(i) Altitude of the star = 220 36’ (ii) Azimuth of the star = 420 W (iii) Latitude of the place of observation = 400 N.

07

OR Q.5 (a) State the use of GIS in various field. 07

(b) Explain the displacement and errors in aerial photogrammetry. 07************

1


Derive the expression for the horizontal and vertical distances in the fixed hair method when the staff is held vertically and the measured angle is that of elevation.During the course of a tacheometric survey, the following readings were recorded

Instrument station

Height of instrumen

t

Staff satation

Vertical angle

Staff reading Remark

O 1.750 BM - 80 24' 1.250, 1.600, 1.950 RL of BM=312.670

O 1.650 CP - 70 12' 1.430, 1.580, 1.730 CP is change point

P 1.570 CP + 90 36' 1.670, 1.950, 2.230The tacheometer was anallatic and the multiplying constant was 100. The staff was held vertical. Calculate the RL of station P.

What is meant by triangulation? How will you select base line and triangulation stations? Explain strength of figure.Define accidental error, true value, direct observation, conditioned quantity, most probable value, true error, normal equation.

ORWhat is the principle of E.D.M.? Discuss electromagnetic waves andelectromagnetic spectrum.

What is spherical triangle? State the properties of spherical triangle.

What is latitude of a place? Prove that the altitude of the pole is always equal to the latitude of the observer’s position.

ORDefine the following terms used in aerial photogrammetry :(i) Oblique Photograph (ii) Exposure station (iii) Focal length(iv) Principal point (v) Nadir point (vi) Isocentre (vii) Swing.Find most probable values of angles A, B and C of triangle ABC from the following observation equations :A = 600 12' 36'' , B = 530 46' 12'' , C = 580 01' 16''

Write short note on “ station marks”.

What is tacheometric surveying ? What are the advantages of tacheometric surveying ? Explain various methods of tacheometry.

ORWhat is relief displacement? Derive an expression for the relief displacement in a vertical photograph.

GUJARAT TECHNOLOGICAL UNIVERSITYBE - SEMESTER–IV • EXAMINATION – SUMMER 2013

Subject Code: 140601 Date: 07-06-2013 Subject Name: Advanced SurveyingTime: 10:30am – 01:00pm Total Marks: 70Instructions:

1. Attempt all questions. 2. M ake suitable assumptions wherever necessary.3. Figures to the right indicate full marks.

Q.1

(a) 07

(b) 07

Q.2

(a) 07

(b) 07

(b) 07

Q.3

(a) 07

(b) 07

Q.3

(a) 07

(b) 07

Q.4

(a) 07

(b) 07

Q.4

(a) 07

2

In a pair of overlapping vertical photographs, the mean distance between two principal points both of which lie on the datum is 6.375 cm. At the time of photography, the air-craft was 600 m above the datum. The camera has a focal length of 150 mm. In the common overlap, a tall chimney 120 m high with its base in the datum surface is observed. Determine difference of parallax for top and bottom of chimney

What is remote sensing? State how it differs from photogrammetry. Describeenergy interaction with atmosphere and earth surface features.Explain the basic principle of remote sensing. Discuss image interpretation techniques.

ORWhat is Geographical Information System (GIS) ? Explain key components of GIS. List various functions of GIS.

Explain the various applications with suitable examples of Remote Sensing and GIS in civil engineering.

(b) 07

Q.5

(a) 07

(b) 07

Q.5

(a) 07

(b) 07

*************

1



Subject code: 140604 Subject �ame: E�GI�EERI�G GEOLOGY

Date: 22 /06 /2010 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) What is geology? Explain in brief main and allied branches of geology. 07

(b) Define a mineral. Describe in detail hardness and cleavage as physical

properties of minerals.

07

Q.2 (a) What is crystal? Explain crystallographic axes and elements of symmetry of a

crystal.

07

(b) Define the terms-weathering, erosion and denudation. Briefly describe the

mechanical weathering.

07

OR

(b) What is an earthquake? Describe the types of earthquake waves and concepts

of plate tectonics.

07

Q.3 (a) How are rocks classified? Write an account of texture of igneous rock. 07

(b) Explain in detail the classification of sedimentary rocks? Describe the

sandstone rock.

07

OR

Q.3 (a) What is metamorphism? Explain different types of metamorphisms with

suitable examples.

07

(b) Explain geological properties of building stones and describe granite and

basalt as building stones.

07

Q.4 (a) Explain terminology of fault and fold with neat sketches. 07

(b) Explain dip and strike, anticline and syncline with neat sketches. 07 OR

Q.4 (a) Give the classification of faults based on apparent movement. 07

(b) Explain meaning of aquifer, aquifuse, aquiclude and aquitard. Describe the

porosity and permeability of rocks.

07

Q.5 (a) What is remote sensing? Explain the application of remote sensing in

engineering geology.

07

(b) Explain geological problem of dam sites situated on rocks dipping upstream,

dipping downstream and folded.

07

OR

Q.5 (a) Explain rock cycle and civil engineering importance of petrology. 04

(b) What are land slides? How are they caused? 05

(c) Describe color and streak properties of a mineral. 05 *************



Subject code: 140604 Subject Name: Engineering Geology Date: 09 / 12 / 2010 Time: 03.00 pm – 05.30 pm

Total Marks: 70




Q.1 (a) Define a mineral. Describe the Hardness and Streak properties of minerals giving

examples.

07

(b) What do you mean by weathering of rocks? Describe the chemical weathering of

rocks.

07

Q.2 (a) Write brief notes on the following topics:

(i) Scope of engineering geology in civil engineering.

(ii) Applications of Remote Sensing techniques.

07

(b) Critically discuss various geological criteria to be considered in selection of a

dam site.

07

OR

(b) Define a tunnel. Discuss the suitability of a tunnel alignment in folded sequence

of rock formations.

07

Q.3 (a) What are sedimentary rocks? How are they formed? 07

(b) Describe various structures observed in igneous rocks. 07

OR

Q.3 (a) Write a note on agents and kinds of metamorphism. 07

(b) Narrate the properties of a good building stone. 07

Q.4 (a) Write notes on the following topics:

(i) Usefulness of geological maps and sections.

(ii) Elements of Symmetry.

07

(b) Implications of faults on civil engineering structures. 07 OR

Q.4 (a) What are folds? Drawing a labeled diagram, narrate the various components of a

typical fold.

07

(b) Define an earthquake. Can earthquakes be predicted? 07

Q.5 (a) With a sketch, describe zonal distribution of groundwater. 07

(b) Write short notes on the following topics:

(i) Control of landslides.

(ii) Artificial recharging of groundwater.

07

OR

Q.5 (a) Write short notes on the following topics:

(i) Dip and strike of a bed.

(ii) Geological investigation for civil engg. projects.

07

(b) Write an account on groundwater hazards observed in the construction of civil

engineering projects.

07

*************

1


GUJARAT TECHNOLOGICAL UNIVERSITY B. E. Sem - IV Examination June- 2011


Subject Name: Engineering Geology Date:15/06/2011 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) Describe the Applications of Geology in Civil Engineering. 07

(b) Enlist and explain briefly the geological criteria for site selection of Dam. 07

Q.2 (a) Explain the processes most commonly involved in mechanical weathering

07

(b) What is Unconformity? Explain various types of unconformity. 07

OR

(b) Classify the Igneous rock on the base of Chemical composition and Textural

characteristics

07

Q.3 (a) Draw and explain the following faults which may cause earthquake.

(1) Strike Slip

(2) Normal

(3) Thrust

07

(b) Define Fold. Draw a neat sketch describing the fold and define Limb,

Trough, Axis of fold and Crest

07

OR

Q.3 (a) Describe following properties of Mineral

(1) Luster (2) Colour (3) Cleavage (4) Fracture

07

(b) Describe Fault phenomena and its terminologies with neat sketch 07

Q.4 (a) What is an aquifer? Explain various types of aquifers with sketch. 07

(b) What is River erosion? Explain various methods of river erosion. 07 OR

Q.4 (a) Enlist and explain the various information obtained by geological profile 07

(b) Describe surface and subsurface geological investigations 07

Q.5 (a) State the application of remote sensing in Geology 07

(b) Enlist and describe the various effects of earthquake. 07

OR

Q.5 (a) Write a short note on :-

(1) Outcrop

(2) Permeability

07

(b) What does landslide mean? state various factors affecting the landslides 07

*************

1





Subject Name: Engineering Geology


Instructions:




Q.1 (a) Elaborate the role of geology in civil engineering practices. 07

(b) Describe the chemical weathering of rocks through the processes

of oxidation and reduction.

07

Q.2 (a) Describe how ‘Lustre and Form’ properties can be used to identify

various minerals.

07

(b) Narrate the merits and demerits of a tunnel alignment passing

through the folded sequence of rocks.

07

OR

(b) State the objects of geological investigations for civil engineering

projects.

07

Q.3 (a) Discuss the remedial measures for the prevention of landslides. 07

(b) Describe the structures developed in igneous rocks due to mobility

of magma / lava.

07

OR

Q.3 (a) What are sedimentary rocks? Describe the formation of clastic

sedimentary rocks.

07

(b) Describe the factors and kinds of metamorphism. 07

Q.4 (a) Drawing neat sketches, write brief notes on: (i) Horst - Garben and

(ii) Stratification - Lamination.

07

(b) Define: (i) Mineral (ii) Rock (iii) Earthquake (iv) Faults (v) Folds

(vi) Permeability (vii) Weathering

07

OR

Q.4 (a) Give the classification of folds based on position of axial plane. 07

(b) What are joints? Give their types and engineering geological

significance.

07

Q.5 (a) Write brief notes: (i) Frost Action and (ii) Mohs’ Scale of

Hardness

07

(b) Discuss the subsurface distribution of groundwater. 07

OR

Q.5 (a) Write brief notes on: (i) Effects of dip and strike of rocks on the

foundation of dams and (ii) Crystallographic Axes

07

(b) Write brief notes on: (i) Earthquake Prediction and (ii) Sandstones

and Limestone as Building Stones

07

*************

1





Subject Name: Engineering Geology


Instructions:




Q.1 (a) Define geology and Engineering geology.Enlist the various branches of

geology and add a note on its importance in Civil Engineering.

07

(b) What are geological agents? Discuss the weathering pattern of rocks in

Civil Engineering.

07

Q.2 (a) Define mineral. What are the standard methods for identification of

minerals? Add a note on Moh’s scale of hardness.

07

(b) What is a crystal? Describe the different parts of a crystal and their

relationship.

07

OR

(b) What is the seismology? Describe with the help of neat diagram the

concept of Elastic rebound theory. Add note on types of earthquake

waves and tsunami.

07

Q.3 (a) Describe the tabular classification and important structures of

sedimentary rocks.

07

(b) Write short notes on (i) Sill and Dyke (ii) Marble as building stone (iii)

Porphyritic texture of igneous rocks.

07

OR

Q.3 (a) What is metamorphism? Explain different types of metamorphism with

suitable Indian examples.

07

(b) Write short notes on : (i) Rock cycle (ii) Geological properties of

building stones.

07

Q.4 (a) What are structural discontinuities? How joints are classified? Discuss

the impact of joints in Civil Engineering projects and in ground water

exploration.

07

(b) Write short notes on : (i) Dip and Strike (ii) Symmetrical and

Asymmetrical folds.

07

OR

Q.4 (a) Give in brief the classification of faults. 07

(b) Write short notes on : (i) Sources of Groundwater

(ii) Preventive measures for landslides.

07

Q.5 (a) What is dam? List the types of dams? Enumerate the geological

problems encountered during the construction of Sadar Sarovar Project (

Narmada dam) OR Bhakra Nagal Project.

07

(b) Write short notes on: (i) Tunnel through folded and faulted rocks (ii)

Porosity and Permeability of rocks.

07

OR

Q.5 (a) What is meant by remote sensing and geographical positioning system? 04

(b) Cleavage and Fracture as physical properties of mineral. 04

( c) River meandering and Sand dunes. 06 ************



Subject code: 140604 Date: 01/01/2013 Subject Name: Engineering Geology Time: 02.30 pm - 05.00 pm Total Marks: 70 Instructions:


Q.1 (a) What are minerals? How minerals are identified in the field? Add note on

cleavage of a mineral. 07

(b) What is meant by weathering? Describe in details the process and types of rock weathering.

07

Q.2 (a) Define geology. Enlist branches of geology. Discuss in brief the scope of

geology. 07

(b) Define crystal? Explain the three types of symmetries commonly present in crystals.

07

OR (b) What is an earthquake? How it is caused? Discuss the effects of earthquakes with

such examples from India. 07

Q.3 (a) Write detail notes on river meandering and sand dunes. 07 (b) Write short notes on (i) Dip and Strike (ii) Rock cycle 07 OR

Q.3 (a) What are rocks? How can they be broadly grouped? Discuss the importance of rocks in Civil Engineering.

07

(b) Write short notes on : (i) Columnar joints (ii) Syncline and Anticline. 07

Q.4 (a) What are the sedimentary rocks? How are they formed? Describe in details the classification of sedimentary rocks.

07

(b) What are faults? Explain terminology of faults with neat sketches. 07 OR

Q.4 (a) Write short notes on : (i) Limbs and Axial plane of fold.(ii) Recumbent fold. 07 (b) Write short notes on : (i) Sources of Groundwater

(ii) Causes of landslides. 07

Q.5 (a) What is dam? List the types of dams? Discuss the role of geologist in site selection of dams.

07

(b) Write short notes on: (i) Tunnel through folded rocks (ii) Porosity and Permeability of rocks.

07

OR Q.5 (a) What is meant by remote sensing and geographical positioning system? 04

(b) Hardness and Fracture as physical properties of mineral. 06 ( c) Factors of metamorphism. 04

************

1

1/1


Describe the decomposition of rocks, giving suitable examples.Define a mineral? Describe the Streak and Hardness properties of minerals.

Write notes on the following topics:(i) Significance of Geology in civil engineering practices(ii) Components of a typical fault

Elaborate how can landslides be prevented?

What are earthquakes and tsunamis? Add a note on prediction of earthquakes.

Write detailed notes on the following topics:Factors and types of metamorphism Dykes and sills

Describe the Rock Cycle in detail.What are sedimentary rocks? Narrate how are these formed?

Write notes on the following topics:Anticlines and synclinesArtificial recharging of subsurface water

Write a note on application of Remote Sensing and GIS in civil engineering.Narrate the significance of geological maps and sections.

Narrate the merits and demerits of a tunnel alignment passing through faulted rock formations.Write detailed notes on crystallographic axes and elements of symmetry.

Classify the following rocks as per their origin:(i) Gabbro (ii) Slate (iii) Granite (iv) Marble(v) Limestone (vi) Shale (vii) Schist

Describe the zonal distribution of ground water.


Subject Code: 140604 Date: 19-06-2013 Subject Name: Engineering GeologyTime: 10:30am – 01:00pm Total Marks: 70Instructions:

1. Attempt all questions. 2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.

Q.1 (a) 07(b) 07

Q.2 (a) 07

(b) 07OR

(b) 07

Q.3 (a) 07(b) 07

ORQ.3 (a) 07

(b) 07

Q.4 (a)(b)

0707

OR

Q.4 (a) 07(b) 07

Q.5 (a) 07

(b) 07OR

Q.5 (a) 07

(b) 07

*************

1



Subject code: 140603 Subject �ame : Structural Analysis - II Date:19 / 06 /2010 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 Answer the following.

(a) State advantages and disadvantages of a fixed beam 04

(b) Explain the methods of prestressed concrete 04

(c) For a joint ‘ O ‘ of a plane frame with the members OA, OB, and OC having

constant EI and length 2m, 3m and 4m respectively, if end A is free , end B is

hinged and end C is fixed, then moment distribution factor for OA, OB and OC

will be respectively ____________.

02

(d) A fixed beam AB is of span 5 m. If one of the end settles by 10 mm, what

will be the reaction developed at each support? E = 200 x103 N/mm

2.I = 3

x 107 mm

4.

02

(e) A beam AB is fixed at A and hinged at B. If the end B sinks by amount

‘δ’ , What will be the moment developed at end A and at end B?

02

Q.2 (a) List the points which produces sway in the portal frame. 03

(b) Draw the bending moment diagram for the beam shown in fig. (i). Use

any convenient method.

04

(c) Analyse the beam shown in fig.(ii) by consistent deformation method.

Draw shear force and bending moment diagram. Assume constant EI.

07

OR

(c) Determine the vertical deflection at free end in the overhanging beam as

shown in fig.(iii). Assume constant EI. Use Castigliano’s method.

07

Q.3 (a) Analyse the fixed beam shown in fig.(iv) using first and second principle.

Draw shear force and bending moment diagram.

07

(b) For a continuous beam ABCD as shown in fig.(v), find the moments at all

supports if , end A rotates by 0.002 radian in the clockwise order and the

support B settles by 4 mm. E = 200 x103 N/mm

2.I = 9 x 10

7 mm

4.

07

OR

Q.3 (a) Derive the equation for fixed end moment developed if one of the

supports of a fixed beam settles by amount ‘δ’.

04

(b) Determine the support moment for a continuous beam as shown in fig.(vi)

by moment distribution method. Also draw bending moment diagram.

10

Q.4 (a) Derive the fixed end moment developed due to rotation of support B by

amount θ in clockwise direction for a fixed beam AB.

04

(b) Using slope deflection method analyse the continuous beam shown in

fig.(vii) . Draw bending moment diagram.

10

OR

Q.4 (a) Mention the grade of concrete and grade of steel used in prestressed

concrete.

02

(b) Generate the influence line diagram for MA and RB. Refer fig.(viii) 12

2

Q.5 (a) State and explain Muller Breslau’s principle. State the significance of

influence line diagram in structural analysis.

04

(b) A rectangular concrete beam of cross section, 300mm deep and 200mm

wide is pre stressed by means of 15 wires of 5 mm diameter located at 65

mm from the bottom of the beam. and 3 wires of 5 mm , 25 mm from the

top. Assuming the pre stress in the steel as 840 N/mm2, calculate stress at

the extreme fiber of the mid span section when the beam is supporting its

own weight over a span of 6 m. If a uniformly distributed live load of 6

kN/m is imposed , evaluate the maximum working stress in concrete. The

density of concrete is 24 kN/m3.Refer fig.(ix).

10

OR

Q.5 (a) Explain about losses in prestressed materials. 04

(b) For the continuous beam shown in fig.(x) show one complete iteration

cycle by Kani’s method.

10

*************

1



Subject code: 140603 Subject Name: Structural Analysis-2 Date: 06 /12 /2010 Time: 03.00 pm – 05.30 pm

Total Marks: 70




Q.1 (a) Find out fixed end moment and maximum deflection for a Fixed beam as

shown in fig.1, carrying uniformly distributed load (u.d.l.) of w/unit run for

span of L meter.

10

(b) State and explain the MULLER BRESLAU principle 04

Q.2 (a) Using the slope deflection method, compute the end moments and plot the

bending moment diagram for the beam as shown in fig.2. The beam has

constant EI for both the spans.

07

(b) A beam AB of span 5 meter fixed at both ends carries a uniformly distributed

load of 18 kN /m over the whole span. The right end ‘B’ sinks by 15 mm.

Determine the fixed end moments and the reactions at the supports. Draw also

shear force and bending moment diagrams. Take E = 200 kN /mm2and I = 7.5

x107mm.

07

OR

(b) Using the method of consistent deformation compute all reactions and draw

shear force and bending moment diagram for the beam as shown in fig. 3.

07

Q.3 (a) State and explain : Carry over factor, Distribution factor 04

(b) Analyze the beam as shown in fig..4 by moment distribution method and draw

shear force and bending moment diagram. The beam has constant EI for both

the spans. .

10

OR

Q.3 (a) Enlist advantages and disadvantages of fixed beam. 04

(b) Analyze the frame as shown in fig.5 by moment distribution method and draw shear force and bending moment diagram

10

Q.4 (a) Using the method of consistent deformation compute all reactions and draw

shear force and bending moment diagram for the beam as shown in fig. 6.

07

(b) Draw the influence lines for (i) reaction at B , (ii) and moment at A for the beam as shown in fig.7. Compute the ordinates at intervals of 2.0 meter.

07

OR

Q.4 (a) State and explain Castigliano’s theorems. 06

(b) A continuous beam of two equal spans L is uniformly loaded over its entire

length . Find the magnitude R of the middle reaction by using the Castiglione’s

theorem.

08

Q.5 (a) Analyze the continuous beam ABCD shown in fig.8 by Kani’s method. 10

(b) Derive slope – deflection equation for a straight prismatic member carrying

transverse loading.

04

OR

2

Q.5 (a) A simply supported prestressed concrete beam 10 meter span , rectangular

section 600 mm x 900 mm is subjected to prestressing force of 5600 kN at an

eccentricity of 200 mm below the centroid of the section. Find top and bottom

fiber stresses at transfer and after application of live load of 80 kN / m.

Consider 15% losses. Draw stress distribution diagram at mid span.

08

(b) Write short note on :

(i) Pre - tensioning , (ii) Post - tensioning

06

*************/

1




Subject Name: Structural Analysis-2 Date: 10/06/2011 Time: 10.30 am – 01.00 pm

Total Marks: 70 1. Attempt all questions.



4. Draw neat & clean sketches, wherever required.

Q.1 (a) Analyze the frame shown in fig.1 with using moment distribution method.

Draw bending moment diagram only.

10

(b) Find the displacement at C, as shown in fig. 2 by using Castigliano’s theorem.

E = 2 X 104 N/mm

2.

04

Q.2 (a) Draw BMD and SFD for a beam shown in fig. 3 by using slope deflaction

method.

07

(b) Calculate the support moments and reactions of fixed beam shown in fig. 4. 07

OR

(b) Find the displacement of B, for fig. 5, by Castigliano’s theorem. Sectional area

varies linearly from A to B.

07

Q.3 (a) Analyze the beam shown in fig. 6 by using kani’s method and draw bending

moment diagram.

08

(b) Determine the reaction components for fig. 7. EI is constant throughout. 06

OR

Q.3 (a) Calculate the displacement factor for the columns of the portal frame shown in

fig. 8.

04

(b)

(c)

Explain how do you account for sway in slope-deflaction method for portal

frames?

Distribute a moment of 6 kN.m at a joint among three members whose relative

stiffnesses are 1/6, 1/3 and 1/2.

04

06

Q.4 (a) State Muller-Breslau principle and sketch qualitative influence line diagram

for the shear force at mid span section of a propped cantilever beam.

06

(b) Draw ILD for bending moment at mid point D, for fig. 9, of continuous beam.

Find the ordinates at 3 m intervals.

08

OR

Q.4 (a) Determine the vertical and horizontal deflaction at free end for fig. 10, by

using unit load method. EI is constant.

08

(b) Draw the ILD for reaction at A for a beam shown in fig. 11. Find the ordinates

at 3 m intervals.

06

Q.5 (a) Differentiate between pre-tensioning and post-tensioning in detail. 07

(b) Define the term ‘sway’. Enlist the situation wherein say occur in portal

frames.

07

OR

Q.5 (a) What are the losses in prestress? Explain any one in detail. 06

(b) Explain in detail the reasons of using high grade concrete and high grade steel

in prestressed concrete.

08

*************

3

**********

of 2

Seat No.: ____________ Enrolment No._______________

GUJARAT TECHNOLOGICAL UNIVERSITY B.E. SEM. – IV Examination Nov/Dec - 2011


Date: 30/11/2011 Time: 2.30 pm-5.30 pm

Subject Name: Structural Analysis – II

Total Marks: 70




Q-1. (a) List the advantages and disadvantages of a fixed beam. 04

(b) Explain Strain energy stored in linear elastic system due to bending. 03

(c) A fixed beam of 4 m span is carrying a u.d.l. of 10 kN/m over the entire span and a point

load of 10 kN at the midspan. Draw the S.F. and B.M. diagrams and find the maximum

deflection, if EI = 2500 kNm2.

07

Q-2. (a) Analyse the propped cantilever beam shown in fig. 1 using consistent deformation

method and draw shear force and bending moment diagram. 07

(b) For continuous beam ABC as shown in fig. 2 determine support reactions with the use

of Castigliano’s theorem. 07

OR

(b) Using unit load method, find horizontal and vertical displacement at R of frame as

shown in fig. 3. Take E = 2 × 105 N/mm

2 and I = 2 × 10

8 mm

4

07

Q-3. (a) Determine the support moments using slope deflection method for the continuous girder

shown in fig. 4, if the support B sinks by 2.5 mm. For all members Take E = 200

kN/mm2 and I = 3.5 × 10

7 mm

4.

07

(b) Determine the support moments using moment distribution method for the frame as

shown in fig. 5. Also draw Bending Moment diagram. 07

OR

Q-3. (a) Determine the support moments using moment distribution method for the continuous

girder shown in fig. 4, if the support B sinks by 2.5 mm. For all members Take E = 200

kN/mm2 and I = 3.5 × 10

7 mm

4.

07

(b) Determine the support moments using slope deflection method for the frame as shown

in fig. 5. Also draw Bending Moment diagram. 07

Q-4. (a) Explain, Moment distribution factor and Rotation contribution factor 04

(b) Calculate the support moments and draw B.M. diagram of beam as shown in fig. 6 using

Kani’s method. 10

OR

Q-4. (a) Draw influence line diagrams of reaction at A and B for a propped cantilever beam AB

of span 5 m with ordinate interval of 1.0 m using muller Breslau principle. 07

(b) Draw influence line diagrams of reaction at B (RB) and reaction at C (Rc) for a

continuous beam ABC with both span length of 8 m having interval of 2 m using muller

Breslau principle.

07

of 2

Q-5. (a) Differentiate Pre-tensioning and Post-tensioning 06

(b) Find loss of pre-stress due to elastic shortening of concrete, creep of concrete and

shrinkage of concrete for rectangular beam of size 230 mm × 450 mm is prestressed

(pre-tensioning) with the use of 10 nos. 10 mm diameter bar with centroidal location at

80 mm below centroidal axis of the beam. Take initial prestress of 1600 N/mm2,

Characteristic cube strength of concrete is 45 N/mm2, Creep coefficient is 2.2 and Es =

200 kN/mm2.

08

OR

Q-5. (a) Explain:

1. How prestressed concrete differ from reinforced concrete.

2. Loss of prestress due to friction in post tensioning.

04

03

(b) A simply supported prestressed concrete beam 10 m span, rectangular section 500 mm ×

750 mm is prestressed with force of 5000 kN at an eccentricity of 180 mm below the

centroid of section. Find top and bottom fibre stresses at transfer and after application of

live load 60 kN/m. Consider losses 10 %. Also draw stress distribution diagram at mid

span. Unit weight of concrete 25 kN/m3.

07

Fig. 1

A B

4.0 m

20 kN/m

Fig. 2

c B

30 kN 10 kN/m

A

2.0 m 4.0 m 2.0 m

Fig. 3

10 kN/m 15 kN

Q

P

(2I)

5 m

(I) 3 m R

3 m

B

1 m 1 m

3 m

50 kN/m 100 kN

A D

C

50 kN/m

Fig. 4

12 kN (I)

B D A

2.4 kN/m 10 kN

4 m (I) 1.5 m (I)

1.5 m

1.5 m

C Fig. 5

4 m

Fig. 6

(I) C B

(2I) (1.5 I)

1 m 2 m

8 kN 5 kN/m 10 kN

2 m 2 m D

1





Subject Name: Structural Analysis-II


Instructions:




Q.1 (a) (i) Explain carry over factor and distribution factor with

illustration.

04

(ii) Write advantages of fixed beam over simply supported beam. 03

(b) Analyze the fixed beam shown in fig.(i) using moment area theorems. 07

Q.2 (a) For a continuous beam ABC as shown in fig.(ii), find the moments at

all supports, if support A rotates by 0.003 radian in clockwise direction

and the support B sinks by 5mm. E = 2 × 105 N/mm

2. I = 8 × 10

7 mm

4.

07

(b) Analyze the continuous beam shown in fig.(iii) by Kani’s method. 07

OR

(b) (i) State and explain Castigliano’s first theorem. 03

(ii) Explain methods of prestressing. 04

Q.3 (a) Determine the support moment for a continuous beam as shown in

fig.(iv) by moment distribution method. Also draw bending moment

diagram.

10

(b) Derive the equation of fixed end moment developed due to U.D.L. of

intensity w applied on a fixed beam AB of length l.

04

OR

Q.3 (a) Analyze the continuous beam shown in fig.(v) by slope deflection

method. Draw shear force diagram and bending moment diagram.

10

(b) Derive the equation for fixed end moment developed if support B of a

fixed beam AB rotates by angle θB clockwise.

04

Q.4 (a) (i) Differentiate prestressed concrete from reinforced concrete. 03

(ii) Why higher grade concrete and high tensile strength steel wires

are used in prestressed concrete?

04

(b) A prestressed concrete beam of section 400 × 600 mm is subjected to a

prestressing force of 2000kN at an eccentricity of 100 mm from

bottom. It is subjected to a live load of 30 kN/m over a span of 12 m.

Calculate extreme fibre stresses at top and bottom at mid-span at

transfer and after the application of live load. Assume total loss of

prestress to be 10%. Draw bending stress distribution diagrams. Take

unit weight of concrete = 24 kN/m3.

07

OR

Q.4 (a) What is an influence line diagram? Explain its importance in structural

analysis.

04

(b) Generate influence line diagram for RB for a propped cantilever beam

as shown in fig.(vi) by first principle. Also draw ILD for MA and RA.

10

2

Q.5 (a) Using method of consistent deformation, analyze the beam shown in

fig.(vii). Draw shear force and bending moment diagram.

EI = constant.

07

(b) Calculate fixed end moments for a beam as shown in fig.(viii) using

Castigliano’s theorem. Draw shear force diagram and bending moment

diagram.

07

OR

Q.5 (a) Determine the vertical deflection of joint C of the truss shown in

fig.(ix) by unit load method. The cross-sectional area of each member

is 400 mm2. E = 2 × 10

5 N/mm

2.

10

(b) Draw bending moment diagram for the beam shown in fig.(x). Use any

convenient method.

04

fig.(i) Q-1(b) fig.(ii) Q-2(a)

fig.(iii) Q-2(b)

fig.(iv) Q-3(a) fig.(v) Q-3(a) OR

fig.(vi) Q-4(b) OR fig.(vii) Q-5(a) fig.(viii) Q-5(b)

fig.(ix) Q-5(a) OR fig.(x) Q-5(b) OR

4 m

A B

15kN/m

2 m 3 m

A B

C

80kN

I 1.5 I2 m 2 m

A BC

30kN

8 m

A B

4 m

A

B

C

60kN

2 m

30kN/m

6 m

I I

4 m

A

B C

D

30kN60kN

2 m

20kN/m

3 m 4 m

1.5 I I 2I

4 m

4 m 4 m

A

B

C

2 m

AB

2 m 100kN

CD

2 m

2 m 4 m

A

B C

D

20kN20kN

2 m

10kN/m

2 m 2 m

2EI 1.5EI EI

20kN

3 m 2 m

A B

3

**************

1



Subject code: 140603 Date: 29/12/2012 Subject Name: Structural Analysis - II Time: 02.30 pm - 05.00 pm Total Marks: 70 Instructions:

1. Attempt any five questions. 2. Make suitable assumptions wherever necessary. 3. Figures to the right indicate full marks. 4. Draw neat and clean sketches, wherever required.

Q.1 (a) Analyze the frame as shown in fig. 1, by using moment distribution method and

draw bending moment diagram. 10

(b) Briefly explain various losses in prestress. 04 Q.2 (a) Using slope deflaction method analyzes the beam as shown in fig. 2. Draw SFD

and BMD both. 07

(b) Define the following terms. Carry over factor, stiffness and distribution factor

07

OR (b) A pre-tensioned beam of size 100 mm x 300 mm is prestressed by a straight

cables having an initial force of 200 kN, at an eccentricity of 60 mm. Es = 210 kN/mm2 and Ec = 35 kN/mm2. Calculate the percentage of prestress in steel due to elastic shortening of concrete if area of steel wires is 188 mm2.

07

Q.3 (a) Analyze the fixed beam shown in fig. 3 and draw bending moment diagram only. 07 (b) Using consistent deformation method determines all reaction components of beam

as shown in fig. 4 and plot SFD and BMD. 07

OR Q.3 (a) Analyze the fixed beam shown in fig. 5 and draw bending moment diagram only. 07

(b) Using consistent deformation method determines all reaction components of beam as shown in fig. 6 and plot SFD and BMD.

07

Q.4 (a) Analyze the continuous beam as shown in fig. 7 by Kani’s Method and draw bending moment diagram only.

07

(b) Draw the ILD for moment at B in the continuous beam as shown in fig. 8. Calculate the ordinates at 2 m intervals, assuming EI is constant throughout.

07

OR Q.4 (a) Analyze the continuous beam as shown in fig. 9 by Kani’s Method and draw

bending moment diagram only. 07

Q.4 (b) Draw the ILD for shear force at D in the continuous beam as shown in fig. 10. Calculate the ordinates at 1 m intervals, assuming EI is constant throughout.

07

Q.5 (a) Determine horizontal deflaction at point D for the frame as shown in fig. 11. Adopt I = 2 x 108 mm4 and E = 2 x 105 MPa.

07

(b) Analyze the frame by using slope deflaction method for fig. 12. Draw bending moment diagram also.

07

OR Q.5 (a) Determine the deflaction at point C of an overhanging beam as shown in fig. 13.

Adopt E = 2 x 105 N/mm2 and I = 2 x 108 mm4. 07

(b) The bent ABC is shown in fig. 14. Analyze using slope deflaction method and plot bending moment diagram only.

07

*************

of 3


Describe in detail with neat sketches Design Stress Block Parameters for members in flexure and derive the equation for depth of neutral axis for balanced section

Find the Moment of Resistance of a singly reinforced concrete beam of 200mm width and 400 mm effective depth, reinforced with 3 bars of diameter of Fe415 and M20concrete.

Find the Moment of Resistance of a T beam for following data: Df = 100mm;

bf = 730mm; d = 410mm; bw = 240mm; Ast = 4-20mm dia HYSD bars; M15 concrete

A simply supported RCC beam 250mm wide, 400mm effective depth is subjected to Vu of 150kN at critical section near supports. Tensile re at supports is 0.5%. Design shear stirrups near supports and also design no shear reinforcement at mid span for M20 concrete and Fe250 steel.

An RCC beam 300mm wide, 400 mm deep is reinforced with 2-12mm dia bars at top and 2-16mm dia bars at bottom,with an effective cover of 40mm. Using M20 concrete and Fe415 steel, determine resistance of the beam in pure torsion.

Design a simply supported one way slab for a room with inner dimensions of 3m x 7m and 300mm supporting walls. The slab carries a 2kN/m2 live load and 1.5kN/m2 finish load, using M20 concrte and Fe415 steel. Check for deflection and development length

Enumerate the difference between short and slender columns. State the codal specifications for: a) minimum eccentricity for design of columns; b) Longitudinal reinforcement; c) lateral ties.

Discuss advantages and disadvantages of structural steel?

Describe what you understand by class 4.6 and class 8.8 bolts?

Two plates of width 200 mm and thickness 10 mm are required to be designed, using welded connection for 100 percent efficiency. Use slot welds if required.

A single unequal angle 100 × 75 × 6 mm is connected to an 8 mm thick gusset plate at the ends with six 18 mm diameter bolts to transfer tension. Determine the tensile strength of the angle assuming that the yield and ultimate stress of steel used are 250 MPa and 410 MPa. Assume that the longer leg is connected to the gusset plate.

What do you mean by “LUG ANGLE”? Design a tension member of a roof truss to carry a factored axial tension of 400 kN using lug angle.


Subject Code: 140603 Date: 14-06-2013 Subject Name: Structural Design - ITime: 10:30am – 01:00pm Total Marks: 70Instructions:

1. Attempt all questions. 2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.

Q-1. (a) 03

(b) 04

Q-2. (a) 07

(b) 07

OR

(b) 07

Q-3. (a) 10

(b) 04

OR

Q-3. (a) 04

(b) 03

(c) 07

Q-4. (a) 07

(b) 07

OR

of 3

Design a double angle discontinuous strut to carry a factored load of 2 kN. The length(between intersections) of the member is 3.0 m. The two angles are placed back to back on the same side of gusset plate. Take grade Fe 410 steel with fy = 250 MPa.

Explain:1. Plastic Bending of Beams

2. Types of Torsion

What do you mean by “LACING” and “BATTENING”? Give your answer with appropriate sketches.

A built up column with 2 ISMC 350, back to back, at spacing of 200 mm, is carrying an axial load of 1200 kN. Length of column is 9 m. It is held in position at both ends butnot restrained in direction. Design a suitable double lacing system.

Design the slab base footing for built up column consisting of two ISLC 350 back to back separated by a distance of 180 mm and carrying factored load of 1600 kN. Concrete grade M15 and steel Fe410, Bearing capacity of soil 280 kN/m2.

A laterally supported simply supported beam of 5.5 m span carries uniformly distributed load of 36 kN/m with a central point load of 45 kN. Design the section and check the section for shear and deflection.

***************

Q-4. (a) 07

(b)0304

Q-5. (a) 06

(b) 08

OR

Q-5. (a) 07

(b) 07

1



Subject code: 140002 Subject �ame: MANAGEMENT-I

Date: 16 / 06 /2010 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) Management is a specialty in dealing with matters of time and human

relationship: Justify

07

(b) List 14 points guideline for manager of Deming 07

Q.2 (a) Discuss systems approach of management 07

(b) How ethics and social responsibility play role in management? 07

OR

(b) What is the major task of the manager according to the contingency

approach?

07

Q.3 (a) Which of Fayol’s principles of management do you observe in use in

organization today?

07

(b) What are the important steps in the process of organizing? 07

OR

Q.3 (a) What is meant by departmentalization? List different types of

departmentalization.

07

(b) Explain the contribution made by Gilberth 07

Q.4 (a) Why are both vertical and horizontal dimensions important to

organization structure and design?

07

(b) What type of skill would a manager need to effectively work in a matrix

type of organization? Why?

07

OR

Q.4 (a) Discuss Fredrick Taylor’s element of scientific management 07

(b) Describe seven dimensions of organizational culture. 07

Q.5 (a) Describe how culture is transmitted to employees. 07

(b) Discuss the elements of behavioral theory. 07

OR

Q.5 (a) What factors affect the relative ease of managing organizational culture? 07

(b) Discuss factors that affect managerial ethics 07

*************



Subject code: 140002 Subject Name: MANAGEMENT-1

Date: 29 / 11 / 2010 Time: 03.00 pm – 05.30 pm

Total Marks: 70




Q.1 (a) Define ‘management’. State the functions of management. Explain planning

and organizing as functions of management.

07

(b) Explain: “Management is a Science as well as an Art”. 07

Q.2 (a) Explain the principles and techniques of Scientific Management. 07

(b) Explain the principles of management as suggested by Henry Fayol. 07

OR

(b) Define ‘organization’. Explain line organization. 07

Q.3 (a) Explain the causes and remedies of conflict between ‘line’ and ‘staff’ in a

line and staff organization.

07

(b) Explain the requirements of a sound organization. 07

OR

Q.3 (a) Explain the different styles of leadership. 07

(b) Explain ‘span of control’. State the merits and demerit of a limited span of

control.

07

Q.4 (a) Explain centralization and decentralization of authority. Explain the

advantages of decentralization of authority over centralization of authority.

07

(b) Explain formal and informal groups. Explain the importance of informal

groups in the development of an organization.

07

OR

Q.4 (a) Explain: Change is crucial for the survival of a business organization. 07

(b) Explain the change process. 07

Q.5 (a) Explain the ‘social responsibility’ of a business. 07

(b) State the guidelines for managing ethics in the workplace. 07

OR

Q.5 (a) State and explain the myths about business ethics. 07

(b) Explain Maslow’s Hierarchy of needs. 07

*************

1


GUJARAT TECHNOLOGICAL UNIVERSITY B. E. Sem - IV Examination - June- 2011


Subject Name: Management-I Date:04/06/2011 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) What is management? What are the functions of Management? Explain them in

brief.

07

(b) When a matrix structure can be used? 07

Q.2 (a) What is Organisation? Write a note on principles of Organisation. 07

(b) What, according to you, are the skills a modern manager will require to run an

organization.

07

OR

(b) What are the different approaches to management? Explain them taking the

essence of each approach.

07

Q.3 (a) Describe departmentation by process. Give its advantages and disadvantages 07

(b) Discuss the factors affecting the span of control 07

OR

Q.3 (a) Explain the contribution of Taylor and Gilberth to management history. 07

(b) Discuss about the tall and flat structure of organization 07

Q.4 (a) What role does culture play in organisation and to employees? 07

(b) Henry Foyal’s principle of management. 07

OR

Q.4 (a) Why change is crucial in today’s business 07

(b) Write a note on components of external environment 07

Q.5 Write a note on any two:

1. Styles of leadership

2. Ethics for Manager.

3. Social responsibility of a corporate.

4. Line and Staff organization

14

*************

1





Subject Name: Management - I


Instructions:




Q.1 (a) ‘Planning and Controlling are the twins of management.’ Explain the

statement.

07

(b) Distinguish Theory X and Theory Y given by Douglas McGregor. 07

Q.2 (a) What is Classical approach to management? Describe the contribution of

F.W.Taylor in the development of scientific management.

07

(b) “Management is not people; it is an activity like walking, reading,

swimming or running. People who perform management can be designated

as managers, members of management or executive leaders.” – Justify the

statement.

07

OR

(b) Explain Mintzberg’s managerial roles. 07

Q.3 (a) What is Centralization? Which are the factors affecting centralization? 07

(b) Write a note on internal and external environment in the context of

organization culture.

07

OR

Q.3 (a) Explain the concept of culture and its importance. How does culture affect

the managers?

07

(b) What is Organization Structure? Why are both vertical and horizontal

dimensions important to organization structure and design?

07

Q.4 (a) What is Functional Organization Structure? State its advantages and

disadvantages.

07

(b) Discuss the behavioral approach to management. Discuss the Hawthorne

experiments in detail.

07

OR

Q.4 (a) Define Organizational Culture. Explain the attributes of organizational

culture.

07

(b) Explain formal and informal groups. Explain the importance of informal

Groups in the development of an organization.

07

Q.5 (a) Define Corporate Social Responsibility and state its characteristics. Also

state the evolution of corporate social responsibility.

07

(b) Discuss the concept of ethics. What issues must a manager consider when

applying ethics?

07

OR

Q.5 (a) Write a note on Tall versus Flat Organization Structure. 07

(b) Explain Maslow’s Hierarchy of needs. 07 ______________





Subject Name: Management-I


Instructions:




Q.1 (a) What is Management? What are the functions of management? Explain (07)

them in brief.

(b) What is Organisation? What are the types of Organisation? (07)

Q.2 (a) List different type of Organisational structures. Explain Functional structure. (07)

(b) Write a note on Organisational Design. (07)

OR

(b) Write a note on Centralisation Vs Decentralisation. (07)

Q.3 (a) How is the organisational culture important in the performance (07)

of a company?

(b) Explain the external factors that affect the organizational environment. (07)

OR

Q.3 (a) Write about Henry Foyal’s contribution in Management. (07)

(b) Write a note on scientific management. (07)

Q.4 (a) Briefly explain the types of management. (07)

(b) What are effects of Corporate Culture on managers and Employees? (07)

OR

Q.4 (a) What are the parameters to measure the social responsibility of a (07)

business organization.

(b) Discuss about the ethical guidelines for managers. (07)

Q.5 Write notes on following: (any two) (14)

1. Closed System Vs Open System

2. Management Skills

3. Hybrid Structures

OR

Q.5 Write Short Notes on Any Two (14)

1. Span of Management.

2. Mechanisms of ethical management.

3. Management by Objective.

*******

1



Subject code: 140002 Date: 26/12/2012 Subject Name: Management - 1 Time: 02.30 pm - 05.00 pm Total Marks: 70 Instructions:


Q.1 (a) Define Management. Describe the functions of

Management. 07

(b) Explain why efficiency and effectiveness are important to Management. Discuss the levels of Management.

07

Q.2 (a) Describe the important contribution made by Henry Fayol. 07

(b) Explain with example Scientific Management and General Administrative Theory.

07

OR (b) Explain how today’s managers use the Behavioral

approach. 07

Q.3 (a) Explain what is organization; write the merits and demerits

of line and staff organization. 07

(b) Describe the contemporary organizational design. 07 OR

Q.3 (a) Explain how centralization, decentralization and formalizations are used in organizational design.

07

(b) What are the social responsibilities of a Manager? 07

Q.4 (a) Differentiate between social obligations, social responsiveness and social responsibility.

07

(b) Define green management. Describe how organizations can go green.

07

OR Q.4 (a) Explain why work place spirituality seems to be an

important concern. 07

Q.4 (b) Explain the contingency factors that affects organizational design

07

Q.5 (a) Discuss the impact of strong culture on organizations and

managers. 07

(b) What is decision making? Explain various steps of decision-making.

07

OR Q.5 (a) Explain Mintzberg’s managerial role. Write the skills

needed at different managerial level. 07

(b) Define motivation. Explain theories of motivation. 07

*************

1


Define Management and narrate its functions in brief.Describe the skills required for performing a managerial assignment.

Define organization. Spell out important principles of organization.Discuss different modern management approaches.

Critically explain the contributions of Fredrick Winslow Taylor and Henry Fayol in the development of management thoughts.

Briefly discuss the key elements for developing efficient and effective organizational structure.Discuss the organizational design challenges faced by managers in the present scenario.

Write detailed notes on the following topics:Centralization and Decentralization as the principle of organizationTypes of organizational structure

Write explanatory notes on different dimensions of organizational culture.Does environment affect the managerial performance? Explain how.

Elaborate the significance of the changes for the survival of business.Write an explanatory note on styles of leadership.

Write detailed notes on the following topics:Management by objectivesFactors affecting managerial ethics

Write detailed notes on the following topics:Myths about business ethicsRole of ethics and social responsibility in management


Subject Code: 140002 Date: 10-06-2013 Subject Name: Management - ITime: 10:30am – 01:00pm Total Marks: 70Instructions:


Q.1 (a) 07(b) 07

Q.2 (a) 07(b) 07

OR(b) 07

Q.3 (a) 07

(b) 07

ORQ.3

(a) 07(b) 07

Q.4 (a) 07(b) 07

OR

Q.4 (a) 07(b) 07

Q.5(a) 07(b) 07

ORQ.5

(a) 07(b) 07

*************



Subject code: 140602 Subject �ame: Building Construction Date: 18 / 06 /2010 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) Define : (1) Scotia (2) Reveal (3) Corbel (4) Buttress 07

(5) Durability (6) Horn (7) Thermal Conductivity

(b) Enlist different methods used for site exploration. Explain Seismic Refraction

Method 07

Q.2 (a) What are the basic characteristics of black cotton soil ? What precautions

should be taken during foundation construction in black cotton soil ? 07

(b) Explain Brick Cavity Wall with sketch. 07

OR

(b) Explain steel grillage foundation with all details. 07

Q.3 (a) Write short note on random rubble masonry and ashlar chamfered masonry. 07

(b) Explain relieving arch and horse shoe arch. Discuss different causes of failures

of arches. 07

OR

Q.3 (a) What is water- cement ratio ? How it affects on strength and workability of

concrete ? 07

(b) Explain common acoustical defects and suggest remedial measures. 07

Q.4 (a) Explain Venetian door and Collapsible steel door. 07

(b) Write short note on Escalator with sketch. 07

OR

Q.4 (a) What factors should consider for selecting type, shape and size of window ? 07

(b) Give merits and demerits of flat and pitched roof. 07

Q.5 (a) Describe various types of pointing. 07

(b) What are the basic characteristics of an ideal paint ? 07

OR

Q.5 (a) What is underpinning ? Explain Pit method for the same. 07

(b) Explain anti – termite treatment with details. 07

*************

1



Subject code: 140602 Subject Name: Building Construction Date: 03 / 12 / 2010 Time: 03.00 pm – 05.30 pm

Total Marks: 70




4. Draw neat and clean sketches. Make suitable notations and labels on it.

Q.1 (a) Write size of brick. Enlist types of bonds in brickwork. Sketch English bond for

1.5 brick thick wall.

07

(b) Enlist types of doors. Write size of doors of residential buildings. Sketch solid

core flush door.

07

Q.2 (a) Draw single flight staircase and label various components of stair on it. Also

sketch various types of steps with their names.

07

(b) Write the purposes of site exploration. Enlist various methods of site exploration.

Explain seismic refraction method with sketch.

07

OR

(b) Write various factors affecting the selection of site exploration method. Enlist

various boring methods adopted for site exploration. Explain wash boring with

sketch.

07

Q.3 (a) What are the causes of failure of foundation?

When do you suggest :

1. Combined footing

2. Strap footing

3. Raft foundation

Also state that which type of foundation is suitable for black cotton soil?

07

(b) Write the difference between

1. English bond and Flemish bond 03

2. Rubble masonry and ashlar masonry 04

OR

Q.3 (a) What is composite masonry? Write various types of it. Explain any one in detail. 07

(b) Explain with sketch:

1. R.C.C.Lintel 04

2. Semicircular brick arch 03

Q.4 (a) What is cavity wall? Write advantages of cavity walls. What precautions to be

taken during cavity wall construction?

07

(b) Explain water-cement ratio, Grades of concrete and Curing of concrete. 07 OR

Q.4 (a) Write the factors affecting selection of size, shape, location and number of

windows.Sketch casement window and label various components of window on

it.

07

(b) Write essential requirements of a floor. Explain cement concrete flooring with

advantages and disadvantages of it.

07

2

Q.5 (a) What is pitched roof? What are the types of it? What are the roof coverings for it?

Sketch king post truss with labels.

07

(b) What is the difference between plastering and pointing? Discuss cement mortar

plastering.

07

OR

Q.5 (a) Define shoring, underpinning and scaffolding. Sketch brick layer’s scaffolding. 07

(b) What are the special treatments for buildings? Explain any one in detail. 07

*************

1




Subject Name: Building Construction Date:08/06/2011 Time: 10.30 am – 01.00 pm

Total Marks: 70




Q.1 (a) 1. State the purpose of soil exploration.

2. Enlist the methods of site exploration. Explain any one in detail.

07

(b) 1. Define mortar. Explain cement and lime mortar.

2. Write a note on random rubble built to course stone masonry.

07

Q.2 (a) 1. Define the following terms:

(i) closer, (ii) quoin, (iii) coping

2. Differentiate between English bond and Flemish bond

07

(b) 1. Explain the reinforced brick lintel with sketch.

2. Define the terms: ( i) springing points (ii) centering

07

OR

(b) What are the functions of water in concrete mix? Describe the properties of

water which are necessary to be used to get good concrete.

07

Q.3 (a) Differentiate between:

1. Panelled doors and Glazed doors

2. Skylight window and Lantern light widows

07

(b) State and explain the circumstances under which the following types of stairs

can be provided :

(i) half turn geometrical stair (ii) dog-legged stair

07

OR

Q.3 (a) Write the points to be kept in mind while fixing the position of doors and

windows.

07

(b) Explain with the help of sketches the following terms:

(i) winders (ii) nosing (iii) landing

07

Q.4 (a) Explain with the help of sketch the method of constructing timber flooring. 07

(b) Compare Steel roof trusses and Timber roof trusses 07 OR

Q.4 (a) Explain in brief the factors that affect the selection of a floor finish. 07

(b) State briefly the essential requirement of a good roof. 07

Q.5 (a) What does it mean by shoring? Enlist the types of shores and describe in brief

any one.

07

(b) State the general principles that should be observed for providing damp

proofing (DPC)

07

OR

Q.5 (a) What is meant by scaffolding? Discuss the essential requirements of it. 07

(b) Discus in brief various types of thermal insulating materials. 07 *************

1


GUJARAT TECHNOLOGICAL UNIVERSITY BE SEM-IV Examination-Nov/Dec-2011


Subject Name: Building Construction

Time: 02.30 pm -5.00 pm Total marks: 70 Instructions:




Q.1 (a) Differentiate between pre-cast and cast-in situ construction.

Write advantages and disadvantages of pre-cast construction.

07

(b) What are the different types of bonds in brickwork ? Explain

English bond with neat sketches.

07

Q.2 (a) Write causes of failure of foundations and remedial measures. 07

(b) What are the different types of boring methods ? Explain each in

brief with neat sketches.

07

OR

(b) Classify various types of windows based on nature of operation

or opening and explain any two in brief.

07

Q.3 (a) Classify and explain various types of arches based on material

and workmanship.

07

(b) Define cavity wall. What are its advantages ? Explain method of

construction of it.

07

OR

Q.3 (a) Describe common acoustical defects in auditorium and write

recommended remedies.

07

(b) Explain fire resisting properties of common building materials. 07

Q.4 (a) State requirements of a good stair case in brief and explain

continuous stairs

07

(b) Enumerate various types of materials used for construction of

floor base and flooring. Explain factors that affect the selection

of flooring materials.

07

OR

Q.4 (a) Draw a neat sketch of jack arch floor of bricks. Explain its

method of construction.

07

(b) Classify different types of timber floors and explain each in brief

with help of sketches.

07

Q.5 (a) Differentiate between pitched roofs and flat roofs. Write

advantages and disadvantages of flat roofs.

07

(b) What are the various types of flat terraced roofing ? Explain lime

concrete terracing with tile.

07

OR

Q.5 (a) Define underpinning. Explain pit method of underpinning with

sketch.

07

(b) What is difference between plastering and pointing ? Explain

various types of pointings with sketches.

07

*************

1





Subject Name: Building construction





4. Supplement your answers with neat sketch

Q.1 (a) Explain the purposes of sub-surface investigations and discuss wash boring

in detail 07

(b) Describe the following types of stair with line diagram. Also state the

conditions under which they are provided

(1) dog-legged stair (2) Open-well stair (3) Quarter- turn stair

07

Q.2 (a) Explain the difference between English bond and Flemish bond with figure. 07

(b) Define the following terms with figure

(1) King closer (2) Queen closer (3) Frog (4) Jambs (5) Reveals (6)

Throating (7) Coping

07

OR

(b) Discuss the problems of foundation in black-cotton soils. Describe their

preventive measures. 07

Q.3 (a) Give a point wise comparison of brick and stone masonry. 07

(b) Classify the stone masonry and describe the ashlar masonry in detail with

figures. 07

OR

Q.3 (a) Describe the ingredients of reinforced cement concrete and explain the

function of each ingredient. 07

(b) Describe the factors affecting the selection of size, shape, location and

number of windows in rooms. 07

Q.4 (a) Classify various types of doors. Discuss flush door and collapsible steel door

in detail. 07

(b) Explain essential requirements of floor and describe tiled flooring. 07 OR

Q.4 (a) Define the following terms in relation to roof

(1) Span (2) Rise of a roof (3) Ridge (4) Eaves (5) Gable (6) Purlins (7)

Common rafter

07

(b) (1)Explain the factors affecting the selection of types of roof covering.

(2) Enlist various materials used in roof covering. 07

Q.5 (a) Define mortar. Describe lime mortar and cement mortar used for plastering. 07

(b) (1) Define shoring and underpinning

(2) Write a note on needle scaffolding and dead shores. 07

OR

Q.5 (a) Describe damp proofing treatment for the following

(1) Foundation (2) Floor (3) Parapet 07

(b) What is sound insulation? What are the various effective measures adopted to

achieve sound insulation in a building. 07

*************

1



B. E. - SEMESTER – IV • EXAMINATION – WINTER 2012

Subject code: 140602 Date: 28/12/2012 Subject Name: Building Construction Time: 02.30 pm - 05.00 pm Total Marks: 70 Instructions:


Q.1 (a) What are the purposes of sub-soil exploration? Explain in brief, following

methods of site exploration: (i) Auger boring, (ii) Wash boring. 07

(b) What are the causes of failure of foundation? What remedial measures would you adopt?

07

Q.2 (a) What is bond in brick masonry? What is its significance? What are the rules for bonding?

07

(b) Explain with sketch Plate Load Bearing Test. 07 OR (b) What are the problems of foundations on black cotton soils? Explain with

sketch Under-reamed pile foundation. 07

Q.3 (a) Describe with neat sketch different types of rubble masonry. 07 (b) Explain with sketches the details of cavity wall at the following locations: (a)

Foundation level, (b) Parapet level, (c) At openings. 07

OR Q.3 (a) Distinguish between lintel & an arch. Draw a neat sketch of an arch and show

on it various technical terms used in its construction. 07

(b) Explain with sketches the following types of stairs: (1) Open well stair (Half& Quarter turn), (2) Bifurcated stairs, (3) Spiral stairs.

07

Q.4 (a) Explain in brief the essential requirements of a floor. Describe the following with sketches & mention the situations under which they are used? (a) Reinforced brick flooring, (b) Ribbed floor.

07

(b) What are the essential requirements of a good roof? Compare merits & demerits of flat & pitched roof?

07

OR Q.4 (a) Explain the methods of mixing, placing, compacting and curing of concrete. 07

(b) What is the importance of reinforcement in concrete? Describe various types of reinforcements used in reinforced concrete.

07

Q.5 (a) What are the points to be kept in view, while locating doors & windows in a room? Explain with sketches: (1) Revolving door, (2) Dormer window.

07

(b) What are the objects of plastering? Describe in brief: (i) Cement Plastering, (ii) Acoustical plaster.

07

OR Q.5 (a) What do you understand by under-pinning? When do you require it? Explain

with sketches its method. 07

(b) Briefly explain: (i) Thermal insulation of exposed walls, (ii) Post-construction anti-termite treatment.

07

*************

1


What are the different types of boring methods? Explain any two in detail.Explain various types of shallow foundation.

Describe setting out of foundation trenches.What are the different types of foundation in black cotton soil? Explain any one in detail

Differentiate between plain cement concrete and R.C.C. Explain normal mix and design mix of concrete.

Describe cast-in-situ and pre-cast construction.Classify the arches based on material and workmanship. Explain stone arches with sketch.

Compare stone masonry and brick masonry.What are the different types of composite masonry? Explain reinforced brick masonry.

Explain dutch bond and ranking bond with sketchDescribe framed and panelled doors and write salient features.

Classify the stairs and explain half turn stairs.Enlist the materials used for construction of floor finish and write the factors that affect their selection.

Explain general fire safety requirements for buildings.Compare steel roof truss and timber roof truss.

Explain different types of plaster finishes.What are the various types of scaffolding? Describe single and double scaffolding with sketch.


Subject Code: 140602 Date: 12-06-2013 Subject Name: Building ConstructionTime: 10:30am – 01:00pm Total Marks: 70Instructions:


Q.1 (a) 07(b) 07

Q.2 (a) 07(b) 07

OR(b) 07

Q.3 (a) 07(b) 07

ORQ.3 (a) 07

(b) 07

Q.4 (a) 07(b) 07

OR

Q.4 (a) 07(b) 07

Q.5 (a) 07(b) 07

ORQ.5 (a) 07

(b) 07

*************

gujarat technological university... find the positive root of x = cosx correct to three decimal...

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