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Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
PDDC- SEMESTER-III EXAMINATION SUMMER 2017
Subject Code: X30603 Date:31/05/2017
Subject Name: Structural Analysis II
Time: 02:30 PM to 05:00 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 A three-hinged Parabolic arch is having a span of 40 m and rise of 8.0 m. The
arch is subjected to a Point load of 40 kN at a distance of 10 m from the left
hand. Calculate the location and magnitude of the maximum bending moment
in the arch. Draw the Bending Moment diagram also.
07
A three- hinged semi-circular arch of uniform cross-section having a span of 30
m and a rise of 15 is subjected to a Point load of 40kN at a distance of 8.0
from the left hand. Calculate the location and magnitude of the maximum
bending moment in the arch
07
Q.2 Write down the various assumptions made in the theory of Slope deflection.
Also explain the various steps for analyzing beams using SD method.
07
Define Absolute Stiffness, Relative Stiffness. Also state the advantages of the
Moment Distribution method over the Slope Deflection Method.
07
OR
Derive the Basic equation of the Slope deflection method. 07
Q.3 Determine the reactions and draw the shear force diagram and bending
moment diagram (BMD)for the continuous beam as shown in the Figure.1:
Fig. 1
14
OR
Q.3 Analyse the Beam as shown in Figure.1 using Stiffness Method and draw the
SFD and BMD.
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Q.4 A spherical dome of 100 mm thickness, base diameter of 14m and central rise
of 3.5 supports total uniformly distributed load of 4.0kN/m2 over the surface
inclusive of self -weight. Determine the Meridional and Hoop stresses at the
ring beam level.
07
A hollow Cast iron column whose outside diameter is 200 mm has a thickness
of 20 mm. It is 4.5 m long and is fixed at both the ends. Calculate the load
bearing capacity using Rankine's formula. Take fc=550 N/mm2 Rankine's
constant 1/1600.
07
2
OR
Q.4

State the difference between Stiffness Method and Flexibility Method.
07

Analyse the Beam as shown in Figure using the Flexibility Method. Draw the SFD and BMD for the same.
Fig. 2
07
Q.5

Construct the Influence line for the beam as shown in Figure 3. For the following: Reaction at A Reaction at B Shear at Point C.
Fig. 3
14
OR
Q.5

Define the following terms:
Cable Stiffness Flexibility Distribution Factor Carry over factor Influence line Diagram Muller Breslau's Principle.
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4m
A
C
B
4 m
4m
C
B
5m
5m
5m
A
24kN
5m
12 kN