# Structural Analysis Questions and Answers – Shear and Moment Diagrams for a Frame-1

This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Shear and Moment Diagrams for a Frame-1 “.

Following sign convention for force direction is followed:-

For moments, clockwise is considered –ve.

All the options are given in KN and KN/M wherever applicable.
Following figure is used in Q1-Q10.
In the following figure, point A has pin support, while point C has roller type support. Point B is a fixed end.
AB = 4m and BC = 8m.

1. Direction of shear force will always be towards x axis in this frame.
Sate whether the above statement is true or false.
a) True
b) False

Explanation: Direction of shear force is always perpendicular to that of beam. In this frame, orientation of beams is different and so will be that of shear forces.

2. What will be the value of shear force at point A?
a) 100
b) 110
c) 120
d) 130

Explanation: On balancing force in the x direction, we will find that since support C can’t exert any force in x direction, shear force at A will be 120 KN.

3. What will be the shape of SFD of beam AB?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve

Explanation: Since the loading is uniform and parallel to beam AB and point B has no shear, SFD will be of triangular shape.
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4. How many points of discontinuities will be there in the SFD of beam BC?
a) 0
b) 1
c) 2
d) 3

Explanation: Since there is no discreet loading on the beam BC so, there won’t be any points of discontinuities in beam BC.

5. What will be the shape of SFD of beam BC?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve

Explanation: There is no point of discontinuity, so the curve will basically two end values. Since both comes out to be same in this case, shape will e rectangular.

6. What will be the shape of BMD of beam AB?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve

Explanation: As the shape of SFD of beam AB is triangular, it will yield on curve on integrating.

7. What will be the slope of BMD of beam AB at point B (options are in degrees)?
a) 0
b) 15
c) 30
d) 45

Explanation: Value of shear at point B is 0 for beam AB. So, slope of BMD will be zero at that point.

8. What will be the shape of BMD of beam BC?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve

Explanation: BMD will be of triangular shape as SFD is of rectangular shape and one end of BMD comes out to be zero.

9. At what point would the slope of BMD of beam AB be 0?
a) A
b) B
c) In between
d) Never

Explanation: Because at point B, shear force comes out to be zero.

10. At what point would the slope of BMD of beam BC be 0?
a) A
b) B
c) In between
d) Never

Explanation: Shear force never becomes zero in the beam BC.

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