This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Moment-Area Theorems – 2”.
1. For a pin-jointed beam with a 40KN load applied at the midpoint, what is the shape of the Shear Force Diagram (SFD)?
a) Linear
b) Parabolic
c) Linear with discontinuity
d) Arbitrary curve
View Answer
Explanation: Since the load is concentrated at the midpoint, the SFD will have a linear shape with a discontinuity at the load application point.
2. For a beam with a pin support at one end, a roller support at the other, and a 40KN load applied at the midpoint, what is the shape of the Bending Moment Diagram (BMD)?
a) Rectangular
b) Triangular
c) Parabolic
d) Arbitrary curve
View Answer
Explanation: The BMD will show a linear increase up to the load point, where it reaches its peak, then linearly decreases toward the other end.
3. In the Shear Force Diagram (SFD) for a beam with a 40KN load applied at one of its points, where is the maximum shear force located?
a) A
b) C
c) B
d) between A and C
View Answer
Explanation: The maximum shear force occurs at the pin support, where the reaction force is highest.
4. For a beam with a concentrated load applied at one of its points, what is the maximum bending moment value if calculated in KN-m/EI?
a) 10/EI
b) 20/EI
c) 30/EI
d) 40/EI
View Answer
Explanation: The bending moment is zero at the pin support and reaches a maximum of 40/EI at the load application point.
5. To determine the slope at the roller support for a beam with a concentrated load, which section of the Bending Moment Diagram (BMD) should be used?
a) from A to C
b) from A to B
c) from C to B
d) depends upon the loading condition
View Answer
Explanation: The slope at the roller support is calculated by considering the area from the load point to the roller support on the BMD.
6. What is the calculated slope at the roller support of a beam with a 40KN load applied at one of its points (in terms of KN-m/EI)?
a) 10/EI
b) 20/EI
c) 30/EI
d) 40/EI
View Answer
Explanation: The slope at the roller support is calculated based on the area under the BMD from the load application point to the roller support.
7. To find the maximum deflection in a beam with a concentrated load applied, which section of the Bending Moment Diagram (BMD) should be considered?
a) From the pin support to the roller support
b) From the pin support to the load application point
c) From the roller support to the load application point
d) Cannot be determined
View Answer
Explanation: The maximum deflection occurs at the load point, where the slope is zero. The area from the pin support to the load point is used to calculate this deflection.
8. To calculate maximum deflection in a beam with a pin support, where should the moment of area be taken?
a) About the pin support
b) About the roller support
c) About the load application point
d) Cannot determine
View Answer
Explanation: The moment of area about the pin support will yield the maximum deflection at the load point.
9. What is the maximum deflection value for a beam with a concentrated load at its midpoint (in terms of KN-m/EI)?
a) 80/3EI
b) 120/3EI
c) 180/3EI
d) 40/3EI
View Answer
Explanation: The maximum deflection is found by taking the area under the BMD from the pin support to the load point and calculating the moment about the pin support.
10. To calculate the relative deflection between two points in a beam using the moment-area method, where should the moment of area be taken?
a) About the first point
b) About the second point
c) About a midpoint
d) Cannot determine
View Answer
Explanation: According to the moment-area theorem, the relative deflection of two points is determined by taking the moment of the BMD area about the second point.
11. For relative deflection calculations between two points in a beam, which section of the Bending Moment Diagram (BMD) is used according to the moment-area theorem?
a) From the first point to the second point
b) From the first point to the midpoint
c) From the second point to the midpoint
d) Cannot determine
View Answer
Explanation: The first moment-area theorem requires the use of the BMD area between the first and second points to calculate their relative deflection.
12. What is the calculated relative deflection between two points in a beam, given in terms of KN-m/EI?
a) 20/3EI
b) 40/3EI
c) 80/3EI
d) 160/3EI
View Answer
Explanation: The relative deflection is calculated by applying the moment-area theorem on the area under the BMD between the two points.
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