This set of Structural Analysis Questions and Answers focuses on “Shear and Moment Diagrams for a Frame-2”.

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-Q9.

Point A is pin support and point D is roller type support. Uniform horizontal load of 80KN/m is acting on beam AB.

AB = 5m, BC = CD = 2m

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

View Answer

Explanation: Direction of shear force is always perpendicular to that of beam. In this frame, orientations of beams are different and so will be that of shear forces. One beam is parallel to x axis while the other one is inclined at some angle.

2. What will be the value of shear force at point A?

a) 110

b) 120

c) 130

d) 140

View Answer

Explanation: Firstly, balance out moment about point A which will give a horizontal force -5KN at support A. Then, balance horizontal force on the entire system which will give a reaction of -240KN at support A. Now, take component of both these forces and shear will come out.

3. What will be the shape of SFD of beam AB?

a) Triangular

b) Rectangular

c) Trapezoid

d) Arbitrary curve

View Answer

Explanation: Since the loading is uniform but not parallel to beam, it will yield an arbitrary curve.

4. How many points of discontinuities will be there in the SFD of beam BD?

a) 0

b) 1

c) 2

d) 3

View Answer

Explanation: Since there is one discreet loading on the beam BD at C so, there will be one point of discontinuity in beam BD.

5. What will be the shape of SFD of beam BD?

a) Triangular with discontinuity

b) Rectangular with discontinuity

c) Trapezoid with discontinuity

d) Arbitrary curve

View Answer

Explanation: Loading on beam BD is discreet, so SFD will be rectangular with discontinuity.

6. What will be the shape of BMD of beam AB?

a) Triangular

b) Rectangular

c) Trapezoid

d) Arbitrary curve

View Answer

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

7. What will be the shape of BMD of beam BD?

a) Triangular

b) Rectangular

c) Arbitrary quadrilateral

d) Arbitrary curve

View Answer

Explanation: SFD is rectangular and one end point is zero, so that will lead to an arbitrary quadrilateral.

8. At what point would the slope of BMD of beam AB be 0?

a) A

b) B

c) In between

d) Never

View Answer

Explanation: Because at one in between point, shear force comes out to be zero.

9. At what point would the slope of BMD of beam BD be 0?

a) A

b) B

c) In between

d) Never

View Answer

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

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