Download DBATU B-Tech 3rd Sem and 4th Sem 2019 May Structural Mechanics I Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B.Tech 3rd Sem and 4th Sem 2019 May Structural Mechanics I Question Paper

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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY,
LONERE ? RAIGAD ? 402103
End Semester Examination ? Summer 2019
Branch: B. Tech in Civil Engineering Semester: IV
Subject Name: Structural Mechanics I Subject Code: BTCVC 403
Max. Marks: 60 Date: ? 20/05/2019 Duration: 3 Hrs.
Instructions to the Students
1. Attempt any ?ve questions out of the following.
2. 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. Use of non-programmable scientific calculators is allowed.
4. Assume suitable data wherever necessary and mention it clearly. For all numerical use E = 210 GPa
and I = 500 x 106 m4 wherever essential.
5. Illustrate your answers with neat sketches, diagram eta, wherever necessary.
Q- 1 (a)
Q. 1 (b)
Q.2
Q- 3 (a)
(Level Marks
/ CO)
De?ne degree of static indeterminacy and degree of kinematic L 2 04
indetenninacy of a structure. Write and explain equation of the degree of
static indeterminacy of beam.
Analyse the beam as shown in ?gure 1 using Castigliano?s theorem and L 4 08
hence ?nd vertical de?ection and slope at the free end.
10 kN/m 5n kN
Q, i l i i l l l t
l/ 3 m l
| 4
Figure 1 mkN?ma 4m
/ 7 3m I
Figure 2
Analyse the rigid jointed frame as shown in the ?gure 2 using Virtual L 4 12
Work method and hence ?nd the slope and vertical de?ection at the free
end.
Analyse the propped cantilever shown in ?gure 3 using moment area L 4 06
method and hence draw the bending moment diagram. Span of beam is
4 m.
18 kNlm
_//
\
Figure 3
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OR
Q. 3 (a) A ?xed beam of span 10 1n carries two point loads of 50 kN and 60 kN L 4 06
acting at 3 m and 6 In from left support. Find the ?xed end moments and
hence draw SFD and BMD.
Q- 3 (b) Analyse the continuous beam as shown in ?gure 4 using theorem of three L 4 06
moments and hence draw the SFD and BMD.
4DkN
15 kN/m l
I i I I i I I 1
Q
1/ 3m 7% 3?? l, Im?
| ?1 l 71
Figure 4
Q. 4 Analyse the rigid frame as shown in ?gure 5 using slope de?ection L 4 12(
method and hence draw the BMD. I of columns =2] of beam, The
downward settlement of foundation at right side is 10 mm.
27kNIm
, tttttttt
/
4m
/ 77?77' 77?77?
3m /
Figures
OR
Q. 4 Analyse the continuous beam as shown in ?gure 6 using Slope De?ection L 4
method and hence draw SFD and BMD. E1 = constant.
15 kN 18 kN
HT?N?TTW l l
;% ;% u?a
L
I 4m | 2m I lm/I 1.5m/1 1.5m
Figure6
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Q- 6 (a)
(Q- 6 (b)
Q. 6 (b)
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Analyse the beam as shown in ?gure 7 using Moment Distribution L4
method and hence draw SFD and BMD.
4|]kN 30kN
14kN/m
IlHlHl l l
1 s @.,5%
l/
4m 7| 2m | 1m/1 1.5m?1 I?Sm/l
Figure 7
Wall thickness of a cylindrical shell of 800 mm internal diameter and 2 1n L 4
long is 10 mm. If the shell is subjected to an internal pressure of 2 MPa,
?nd circumferential stress, longitudinal stress and maximum shear stress.
A cast iron pipe of 240 mm inside diameter and 15 mm thickness is L 4
closely wound with a layer of 4 mm diameter steel Wire under a stress of
30 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, Poisson?s ratio is 0.3.
OR
A cylindrical shell of length 1111 and internal diameter 150 mm has a L 4
thickness of 10 mm. If the shell is subjected to internal pressure of 3
N/mmZ, ?nd change in diameter, change in length and change in volume.
E = 210 GPa, p = 0.3.
END
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