Register Number
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.
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