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SATHYABAMA UNIVERSITY

(Established under section 3 of UGC Act,1956)


Course & Branch :B.E
-

P
-
CIVIL

Title of the Paper :Structural Analysis


I



Max. Marks:80

Sub. Code :SCIX1017 (2010)






Time : 3 Hours

Date :17/11/2011








Session :AN

_____________________________________________________________________________________________________________________________
__


PART
-

A (10 x 2 = 20)


Answer

ALL the Questions

1.

What is the significance of Castigliano’s I theorem?


2.

Write the expression for finding strain energy due to axial load.


3.

Sketch the influence line diagram for reactions of a simply

supported beam frames.


4.

Write the uses of i
nfluence line diagrams.


5.

Explain slope deflection equation.


6.

How will you obtain distribution factor?


7.

State Eddy’s theorem as applied to arches.


8.

What do you mean by theoretical arch?


9.

Sketch a typical suspension bridge with three hinged st
iffening

girder.


10.

Brief the different types of anchor cables.


PART


B



(5 x 12 = 60)

Answer ALL the Questions

11.

Using Castigliano’s first theorem, determine the deflection and

rotation of the overhanging end A of the beam shown in Fig.1.


Fig
.1

(or)

12.

Determine the vertical and horizontal displacements of the point

C of the pin jointed frame shown in Fig.2 cross sectional area of

AB is

50 sq.mm and of AC and BC is 75 sq.mm. Take E =

200 GPa.



Fig. 2


13.

A simply supported beam of spa
n 6m is subjected to a uniformly

distributed load of 10 kN/m over left half of the span. In addition,

there is a point load of 15kN at 4m from left end. Obtain the

reactions, Shear Force at 2m and Bending Moment at 4.5m from

left

end of the beam usin
g influence line diagrams.

(or)

14.

A simply supported beam of span 8m is subjected to point loads

of 5kN, 10kN, 15kN and 8kN at 1m, 2m, 3m and 6m respectively

from left end. Compute the support reactions, Shear Force and

Bending Moment at centre of the

span using influence line

diagrams.


15.

Analyse the continuous beam shown in Fig.3 by slope deflection

method. Draw the shear force and bending moment diagrams.



Fig. 3



(or)

16.

Analyse the portal frame shown in Fig.4 by moment distribution

metho
d. Draw the bending moment diagram.



Fig.4


17.

A three hinged parabolic arch of span 18m and 3m central rise

carries a uniformly distributed load of 10 kN/m over the left half

of the span. Calculate the normal thrust and shear force at 4.5m

from left

support. Also, calculate the maximum positive and

negative bending moment.

(or)

18.

A parabolic arch hinged at the ends has a span 25m and rise 4m.

A concentrated load of 15kN acts at 10m from the left hinge. The

second moment of area varies as the sec
ant of the slope of the rib

axis. Calculate the horizontal thrust and the reactions at the

hinges. Also, calculate the maximum bending moment anywhere

on the arch.


19.

The three hinged stiffening girder of a suspension bridge of 90m

span is subjected
to two point loads of 10 kN each placed at 20m

and 35m respectively from the left hand hinge. Determine the

shear force and bending moment in the girder at a section 30m

from left end. Also, determine the maximum tension in the cable

which has a centra
l dip of 9m.

(or)

20.

A suspension cable, stiffened with a three hinged girder, has 90m

span and 9m dip. The girder carries a load of 1 kN/m. A live load

of 15 kN rolls from left to right. Determine the maximum

bending moment anywhere in the girder and
also the maximum

tension in the cable.