Structural Analysis Questions and Answers – Moment-Area Theorems

This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Moment-Area Theorems”.

1. The change in slope between any two points on the elastic curve equals the area of M/EI diagram between both end points of beam.
State whether the above statement is true or false.
a) True
b) False
View Answer

Answer: b
Explanation: Change in slope will be equal to area of M/EI diagram between those two points.

2. θB/A refers to:-
a) Angle of tangent at B measured wrt the tangent at A
b) Angle of tangent at A measured wrt the tangent at B
c) Angle of tangent at A measured wrt x axis
d) Angle of tangent at A measured wrt y axis
View Answer

Answer: a
Explanation: In the above given equation, if A is first point and B is second, then θB/A is the LHS.

3. If area of M/EI diagram between points A and B is –ve, then angle from tangent A to tangent B will be measured :-
a) Counterclockwise
b) Clockwise
c) Can be anything
d) Angle will be 0
View Answer

Answer: b
Explanation: Standard sign convention is applied everywhere in the proof, so it is quite obvious.
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4. What is the dimension of θB/A if area is measured in SI unit:-
a) Degree
b) Radian
c) Dimensionless
d) Can be any of them
View Answer

Answer: b
Explanation: Since area is measured in SI units, result too will be in Si units.

5. The vertical deviation is measured along (if first point is A and second point is B):-
a) A vertical line passing through centre of A and B
b) A vertical line passing through A
c) A vertical line passing through B
d) A vertical line passing through either of the end points
View Answer

Answer: b
Explanation: This makes the integration much easier during calculation of deflection.

6. The vertical deviation of tangent at point say A on the elastic curve with respect to the tangent extended from another point say B equals the “moment” of the area under the M/EI diagram between the two points about point :-
a) A
b) B
c) Between A and B
d) One of the end points
View Answer

Answer: a
Explanation: Since, we are taking A as origin.

7. –ve M/EI area means tangent at A is:-
a) Higher than that extended from B
b) Lower than that extended from B
c) Can’t say
d) Both are equal
View Answer

Answer: b
Explanation: Since, during derivation we have always assumed upward to be positive.
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8. In general tA/B implies:-
a) Vertical deflection of tangent at B wrt that at A
b) Vertical deflection of tangent at A wrt that at B
c) Vertical deflection of extended tangent at B wrt tangent at A
d) Vertical deflection of tangent at A wrt extended tangent at B
View Answer

Answer: d
Explanation: It is just a standard to differentiate between tA/B and tB/A.

9. TA/B and tB/A are:-
a) Always equal
b) Always unequal
c) Can’t say
d) One of them is zero
View Answer

Answer: c
Explanation: In one case, we will take moment about point A while in other case moment is taken about point B. So, it can be anything.
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10. –ve moment bends the beam convex down.
State whether the above sentence is true or false.
a) True
b) False
View Answer

Answer: b
Explanation: -ve moment bends a beam concave down.

Sanfoundry Global Education & Learning Series – Structural Analysis.

To practice all areas of Structural Analysis, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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