Slope Deflection Equations - Structural Analysis Questions and Answers

This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Slope-Deflection Equations”.

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

Answer: d
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) 1
b) 2
c) 3
d) 4
View Answer

Answer: c
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) Negative rotation
c) Can’t say
d) Depends upon magnitude
View Answer

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

4. What will be MBA in this case?
a) EI θ_A/L
b) 2EI θ_A/L
c) 3EI θ_A/L
d) 4EI θ_A/L
View Answer

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

5. What will be MAB in this case?
a) EI θ_A/L
b) 2EI θ_A/L
c) 3EI θ_A/L
d) 4EI θ_A/L
View Answer

Answer: d
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 θ_B.

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6. What will be MAB in this case?
a) EI θ_B/L
b) 2EI θ_B/L
c) 3EI θ_B/L
d) 4EI θ_B/L
View Answer

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

7. What will be MBA in this case?
a) EI θ_B/L
b) 2EI θ_B/L
c) 3EI θ_B/L
d) 4EI θ_B/L
View Answer

Answer: d
Explanation: Use conjugate beam method and since displacement at both ends is zero, equate both end moments of conjugate beam to zero.
Now, member is rotated in clockwise direction by displacing node B by a distance of Δ.

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
View Answer

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
View Answer

Answer: d
Explanation: Both ends are not rotating.

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

Answer: c
Explanation: Use conjugate beam and equate M_BA to Δ.

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