Structural Analysis Questions and Answers - Moment Area Theorems Part-2

1.What is the shape of BMD for this diagram?
a) Rectangular
b) Triangular
c) Parabolic
d) Arbitrary curve

Answer: b
Explanation: It will increase till point C and then will start decreasing and in both cases linearly.

2. Where is the peak point of SFD?
a) A
b) C
c) B
d) between A and C

Answer: a
Explanation: Value of shear force at point A is +20KN which is the maximum for this case.

3. What is the peak value of BMD of this figure (all options are in KN-m)?
a) 10/EI
b) 20/EI
c) 30/EI
d) 40/EI

Answer: d
Explanation: At point A BM will be 0 and hen will start increasing till point C where its value will be 40/EI i.e. the area between SFD till that point.

4. What should be the area that should be considered if we want to find slope at point B wrt initial beam?
a) from A to C
b) from A to B
c) from C to B
d) depends upon the loading condition

Answer: c
Explanation: If we thee deflected diagram of this figure, we will find that slope at point C will be zero as from that point, BM starts decreasing. So we should consider area between point C and B for slope wrt initial beam.

5. What is the value of slope at point B wrt initial beam?
a) 10/EI
b) 20/EI
c) 30/EI
d) 40/EI

Answer: b
Explanation: Just calculate the area between point C and point B.

6. To calculate maximum deformation in the deflected beam, which part of the area should be considered?
a) from A to B
b) from A to C
c) from B to C
d) can’t say

Answer: b
Explanation: Maximum deformation happens at point C and slope of C is zero i.e. tangent is parallel to initial beam. This property of point C can be used to calculate maximum deformation.

7. To calculate maximum deformation in deflected beam, about which point should we take moment of the required part of area?
a) A
b) B
c) C
d) can’t say

Answer: a
Explanation: Tangent at point A is at point A as there is no vertical deflection there and tangent of point C is parallel to initial beam. So, the length at which it will cut point A vertically will be the maximum deformation.

8. What is the value of maximum deformation in this case?
a) 80/3EI
b) 120/3EI
c) 180/3EI
d) 40/3EI

Answer: a
Explanation: Just take area between point A and C and calculate moment about point A.

9. What will be the value of relative deflections of tangents at point A and B at point B?
a) 20/3EI
b) 40/3EI
c) 80/3EI
d) 160/3EI

Answer: c
Explanation: 80/3EI

10. Conjugate-Beam method was developed by:-
a) Hooke
b) Otto mohr
c) Charles E.greene
d) H.muller-Breslau

Answer: d
Explanation: Moment area method was developed by mohr and Greene