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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY,
End Semester Examination Summer 2019
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Branch: B. Tech in Civil Engineering
Subject Name: Structural Mechanics I
Max. Marks: 60 Date: - 20/05/2019
Semester: IV
Subject Code: BTCVC 403
Duration: 3 Hrs.
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Instructions to the Students
1
2
. Attempt any five questions out of the following.
. The level questions/ expected answer as per OBE or the course outcome (CO) on which the question is
based is mentioned in ( ) in front of the question.
3
4
. Use of non-programmable scientific calculators is allowed.
. Assume suitable data wherever necessary and mention it clearly. For all numerical use E = 210 GPa
-6
4
and I = 500 x 10 m wherever essential.
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5
-
(Level Marks
/
CO)
Q. 1 (a)
Define degree of static indeterminacy and degree of kinematic L 2
indeterminacy of a structure. Write and explain equation of the degree of
static indeterminacy of beam.
Analyse the beam as shown in figure 1 using Castigliano’s theorem and L 4
hence find vertical deflection and slope at the free end.
04
08
Q. 1 (b)
Figure 1
Figure 2
Analyse the rigid jointed frame as shown in the figure 2 using Virtual L 4
Work method and hence find the slope and vertical deflection at the free
end.
Analyse the propped cantilever shown in figure 3 using moment area L 4
method and hence draw the bending moment diagram. Span of beam is
Q. 2
12
06
Q. 3 (a)
4
m.
Figure 3
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OR
Q. 3 (a)
Q. 3 (b)
A fixed beam of span 10 m carries two point loads of 50 kN and 60 kN L 4
acting at 3 m and 6 m from left support. Find the fixed end moments and
hence draw SFD and BMD.
Analyse the continuous beam as shown in figure 4 using theorem of three L 4
moments and hence draw the SFD and BMD.
06
06
Figure 4
Q. 4
Analyse the rigid frame as shown in figure 5 using slope deflection L 4
method and hence draw the BMD. I of columns = 2I of beam. The
downward settlement of foundation at right side is 10 mm.
12
Figure 5
OR
Q. 4
Analyse the continuous beam as shown in figure 6 using Slope Deflection L 4
method and hence draw SFD and BMD. EI = constant.
Figure 6
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Analyse the beam as shown in figure 7 using Moment Distribution
method and hence draw SFD and BMD.
Wall thickness of a cylindrical shell of 800 mm internal diameter and 2 m
long is 10 mm. If the shell is subjected to an internal pressure of 2 MPa,
find circumferential stress, longitudinal stress and maximum shear stress.
A cast iron pipe of 240 mm inside diameter and 15 mm thickness is
closely wound with a layer of 4 mm diameter steel wire under a stress of
3
0 MPa. Find the stresses in the pipe and the steel wire when water is
admitted into the pipe at a pressure of 4 MPa. For steel E = 210 GPa, cast
iron E= 105 GPa, P oisson’s ratio is 0 .3 .
A cylindrical shell of length 1m and internal diameter 150 mm has a
thickness of 10 mm. If the shell is subjected to internal pressure of 3
N/mm2, find change in diameter, change in length and change in volume.
E = 210 GPa, µ = 0.3.
END
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