Structural Analysis I

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15 Νοε 2013 (πριν από 3 χρόνια και 8 μήνες)

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1

POKHARA UNI VERSI TY


Level: Bachelor

Semester


Fall

Year : 2009

Programme:
BE

Full Marks : 100

Course:
Structural Analysis I

Time : 3hrs.


Candidates are required to give their answers in their own words as far
as practicable.

The fi
gures in the margin indicate full marks.

Attempt all the questions.


1.

Determine the horizontal deflection of joint D of the truss shown in fig.
due to given loading and also due to increase of temperature by 40
0
C in
all inclined members. Given for all
members cross
-
sectional area =
200mm
2
, Youngs modulus = 200kN/mm
2

and


= 12×10
-
6
/
0
C












15

2.

Compute the slopes at A and vertical deflection at C of the loaded beam
as shown in figure using moment area or conjugate beam method. Take
EI is constan
t.








15


2

3.

a.

A bar of 4m long and 20cm diameter hangs vertically and has a
collar securely attached at the lower end. Find the maximum stress
induced when a weight of 10kN falls from 10cm on the collar. Take
E = 2×10
5

MPa.

b.

Determine the support reactio
ns of the given loaded beam shown in
figure using the theorem of least work. EI is constant.









7




8

4.

The system of concentrated loads shown in the given figure rolls
f
rom
left to right across a beam simply supported over a span of 40m, the
4kN l
oad leading. Determine absolute maximum bending moment in
the beam. Also for a section 15m from the left hand support, determine:

a.

The maximum bending moment and

b.

The maximum shearing force













15

5.

a.

A three hinged parabolic arch of 20 meter span a
nd 4m central rise
carries a point of 4kN at 4m from horizontally from the left hand
7



3

hinge. Calculate the normal thrust and radial shear force at the
section 4m from right hand hinge. Also draw bending moment
diagram.

b.

Figure shows the plan of a tripod, the

feet A, B and C being in same
horizontal plane and apex D being 5m above the plane. Horizontal
loads of 150kN applied at a D direction as
shown. Find the forces in
the members assuming that all joints are pin joints.















8

6.

a.

Derive the expr
ession for elastic strain energy due to axial stress.

b.

A cable of span 140m has its ends height 10m and 20m above the
lowest point of the cable. It carries a uniformly distributed load of
14kN/m per horizontal run of the span. Determine
the horizontal and
vertical reaction at the support. What is the length of the cable?

5

10

7.

Write short notes on
(Any Two)

a.

Conjugate beam

b.

Maxwell's law of reciprocal deflection

c.

Influence line diagram and its use

5×2