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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY,  
LONERE – RAIGAD – 402 103  
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.  
. Illustrate your answers with neat sketches, diagram etc., wherever necessary.  
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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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