This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Shear and Moment Diagrams for a Beam”.
1. In case of a beam, resistance to normal force is considered to be more important than resistance to bending and shear force.
State whether the above statement is true or false.
a) True
b) False
View Answer
Explanation: Resistance to bending and shear force is given more importance than resistance to normal force in most cases involving beams.
2. What is the exceptional case when resistance to normal force is considered to be more important than resistance to bending and shear force in beams?
a) Expansive axial force
b) Compressive axial force
c) Bending moment at both ends
d) Bending moment at one end
View Answer
Explanation: In these cases, buckling effects have to be nullified.
3. What will be the starting value of the Shear Force Diagram (SFD)?
- All supports are roller type, and points B and D are hinges.
- BMD and SFD start from point A.
- The length of each section is AB = BC = CD = DE = EF = FG = 2m.
a) 10
b) -10
c) 5
d) -5
View Answer
Explanation: Support reaction at point A is 10KN in downward direction.
4. What will be the shape of the Shear Force Diagram (SFD) in the entire beam?
- All supports are roller type, and points B and D are hinges.
- BMD and SFD start from point A.
- The length of each section is AB = BC = CD = DE = EF = FG = 2m.
a) Straight line
b) Straight line with point of discontinuities
c) Curve
d) Curve with point of discontinuities
View Answer
Explanation: Since load is not a function of x, so SFD will always be straight line. But, since load varies suddenly at some points, SFD will have discontinuities.
5. How many points of discontinuities will there be in the Shear Force Diagram (SFD)?
- All supports are roller type, and points B and D are hinges.
- BMD and SFD start from point A.
- The length of each section is AB = BC = CD = DE = EF = FG = 2m.
a) 1
b) 2
c) 3
d) 4
View Answer
Explanation: 3 discreet loads are applied in between the beam (excluding starting and end points). So, 3 discontinuities will be there.
6. What will be the starting value of the Bending Moment Diagram (BMD)?
- All supports are roller type, and points B and D are hinges.
- BMD and SFD start from point A.
- The length of each section is AB = BC = CD = DE = EF = FG = 2m.
a) 20
b) -20
c) 5
d) -5
View Answer
Explanation: Bending moment at point A is +20KN/M. So, curve will start with +20.
7. What will be the shape of the Bending Moment Diagram (BMD) in the entire beam?
- All supports are roller type, and points B and D are hinges.
- BMD and SFD start from point A.
- The length of each section is AB = BC = CD = DE = EF = FG = 2m.
a) Straight line
b) Straight line with point of discontinuities
c) Curve
d) Straight line with varying slope
View Answer
Explanation: Since, SFD is always parallel to the x axis (as load is always discreet) BMD will always be a straight line. Since, there is an absence of discreet external moment in between the beam, there won’t be any discontinuities in the graph. But, slopes will vary as SFD has discontinuities.
8. How many times will the slope of the Bending Moment Diagram (BMD) change?
- All supports are roller type, and points B and D are hinges.
- BMD and SFD start from point A.
- The length of each section is AB = BC = CD = DE = EF = FG = 2m.
a) 1
b) 2
c) 3
d) 4
View Answer
Explanation: There are 3 points of discontinuities in SFD. So, slope will also change at those three points.
9. What will be the starting value of the Shear Force Diagram (SFD)?
- In the following figure, AB = BC = CD = 2m, and DE = EF = 1m.
- A is a fixed support, and points C and F are roller-type supports. Points B and D are hinges.
- The Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) start from point A.
a) 25
b) -25
c) 15
d) -15
View Answer
Explanation: Support reaction at point A comes out to be 25KN in upward direction upon solving as shown in earlier questions.
10. What will be the shape of the Shear Force Diagram (SFD) in the entire beam?
- In the following figure, AB = BC = CD = 2m, and DE = EF = 1m.
- A is a fixed support, and points C and F are roller-type supports. Points B and D are hinges.
- The Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) start from point A.
a) Straight line
b) Straight line with points of discontinuities
c) Curve
d) Straight line with points of discontinuities parallel to x axis
View Answer
Explanation: On integrating load SFD comes out to be straight line. It will have points of discontinuities too as discreet loads are there in between. But, SFD won’t be always be parallel to x axis as continuous load is applied.
11. How many points of discontinuities will there be in the Shear Force Diagram (SFD)?
- In the following figure, AB = BC = CD = 2m, and DE = EF = 1m.
- A is a fixed support, and points C and F are roller-type supports. Points B and D are hinges.
- The Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) start from point A.
a) 1
b) 2
c) 3
d) 4
View Answer
Explanation: 2 discreet loads are applied in between the beam (excluding starting and end points). So, 3 discontinuities will be there.
12. What will be the starting value of the Bending Moment Diagram (BMD)?
- In the following figure, AB = BC = CD = 2m, and DE = EF = 1m.
- A is a fixed support, and points C and F are roller-type supports. Points B and D are hinges.
- The Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) start from point A.
a) 20
b) -20
c) 10
d) -10
View Answer
Explanation: Bending moment at point A is -10KN/M. So, curve will start with -10.
13. What will be the shape of the Bending Moment Diagram (BMD) in the entire beam?
- In the following figure, AB = BC = CD = 2m, and DE = EF = 1m.
- A is a fixed support, and points C and F are roller-type supports. Points B and D are hinges.
- The Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) start from point A.
a) Straight line
b) Straight line with point of discontinuities
c) Curve
d) Combination of curve and straight line
View Answer
Explanation: A combination of discreet and continuous load will lead to such BMD.
14. How many times will the slope of the Bending Moment Diagram (BMD) change?
- In the following figure, AB = BC = CD = 2m, and DE = EF = 1m.
- A is a fixed support, and points C and F are roller-type supports. Points B and D are hinges.
- The Bending Moment Diagram (BMD) and Shear Force Diagram (SFD) start from point A.
a) 1
b) 2
c) 3
d) infinite
View Answer
Explanation: Since a part of BMD is curve, it will change its slope continuously.
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