Monday, 30 November 2020

MCQ on Slope and Deflection in Beams (SOM/SA-I)

Subject:- SA-I-CGPA Revised (Unit I Slope & Deflection) / SOM-CGPA (Unit VI Deflection of Beams) 

1. Deflection Equations method was developed by:-
a) Mohr
b) Mohr and manderla
c) Bernoulli
d) Maxwell

Answer: b
Explanation: This method was developed by mohr and manderla.
A simply supported beam with a uniform load of W and a point load P is there. Length of beam is L. EI is given. Left point is A and right point is B.

2. What is the Degree of freedom of this beam?
a) 3
b) 1
c) 2
d) 4

Answer: a
Explanation: Rotation at both ends and relative displacement in y direction due to settlement of one of the ends.

3. If point A goes down and point B goes up, then this will be:-
a) Positive rotation
b) Can’t say
c) Depends upon magnitude
d) Negative rotation

Answer: d
Explanation: It will cause span’s cord angle to rotate anti-clockwise.
Node B is kept fixed while node A is rotated by θA.

4. If point A goes down and point B goes up, then What will be MBA in this case?
a) 2EI θA/L
b) EI θA/L
c) 3EI θA/L
d) 4EI θA/L

Answer: a
Explanation: Use conjugate beam method and since displacement at both ends is zero, equate both end moments of conjugate beam to zero.

5. If point A goes down and point B goes up, then What will be MAB in this case?
a) EI θA/L
b) 4EI θA/L
c) 2EI θA/L
d) 3EI θA/L

Answer: b
Explanation: Use conjugate beam method and since displacement at both ends is zero, equate both end moments of conjugate beam to zero.
Node A is kept fixed while node B is rotated by θB.

6. A cantilever beam AB having span 3m with fixity at A and subjected to point load 9kN at B, what will be the maximum slope, if EI is constant.

a) -40.5/EI

b) +40.5/EI

c) 81/EI

d) 121.5/EI

Answer: a

7. A cantilever beam AB having span 3m with fixity at A and subjected to point load 9kN at B, what will be the deflection slope, if EI is constant.

a) -40.5/EI

b) +40.5/EI

c) 81/EI

d) 121.5/EI

Answer: c

8. What will be the difference in moment acting at both the ends?
a) EI Δ/L2
b) 2EI Δ/L2
c) 3EI Δ/L2
d) 0

Answer: d
Explanation: Both ends are not rotating.

9. What will be the difference in shear force acting at both the ends?
a) EI Δ/L2
b) 2EI Δ/L2
c) 3EI Δ/L2
d) 0

Answer: d
Explanation: Both ends are not rotating.

10. What will be the value of MAB?
a) -2EI Δ/L2
b) -4EI Δ/L2
c) -6EI Δ/L2
d) 0

Answer: c
Explanation: Use conjugate beam and equate MBA to Δ

11. Cantilever beam AB with fixity at B of span L is subjected to udl throughout the span, what will be the slope at A

a) –wL3/6EI

b) + wL3/6EI

c) wL4/8EI

d) WL3/8EI

Answer: a

12. Cantilever beam AB with fixity at B of span L is subjected to udl throughout the span, what will be the deflection at A

a) –wL3/6EI

b) + wL3/6EI

c) wL4/8EI

d) WL3/8EI

Answer: c

13. Simply supported beam AB of span L is subjected to udl throughout the span, what will be the slope at A

a) –wL3/24EI

b) + wL3/24EI

c) 5wL4/384EI

d) WL3/48EI

Answer: b

14. Simply supported beam AB of span L is subjected to central clockwise couple M, what will be the slope at A

a) –ML/24EI

b) +ML/24EI

c) ML4/8EI

d) WL3/8EI

Answer: a

15. Cantilever beam AB with fixity at B of span L is subjected to clockwise couple at free end (MA), what will be the slope at A

a) –MAL/3EI

b) +MAL/3EI

c) –MAL2/2EI

d) +MAL2/2EI

Answer: b

16. What will be the maximum deflection in a simply supported beam AB of span 6m subjected to udl 12kN/m over span with constant EI.

a) 202.5/EI

b) 200/EI

c) 108/EI

d) 102/EI

Answer: a

17. What will be the maximum slope in a simply supported beam AB of span 6m subjected to udl 12kN/m over span with constant EI.

a) 202.5/EI

b) 200/EI

c) 108/EI

d) 102/EI

Answer: c

18. What will be the maximum deflection in a simply supported beam AB of span 6m subjected to central point load 9kN over span with constant EI.

a) 20.25/EI

b) 21.25/EI

c) 40.5/EI

d) 41.5/EI

Answer: c

19. What will be the maximum Slope in a simply supported beam AB of span 6m subjected to central point load 9kN over span with constant EI.

a) 20.25/EI

b) 21.25/EI

c) 40.5/EI

d) 41.5/EI

Answer: a

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