Structural Analysis Questions and Answers – Conjugate-Beam Method – 2

This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Conjugate-Beam Method – 2”.

1. A beam structure has a hinge support at point B and a roller support at point C. Both ends, A and D, are free. A downward load of 60 kN is applied at point D. Given that the reaction force at support C is 80 kN, what is the reaction force at support C?
The reaction force at support C is 80
a) 20
b) 40
c) 80
d) 120
View Answer

Answer: c
Explanation: The reaction force at support C is found by balancing the moment about point B.

2. In a beam supported by a hinge at B and a roller at C, with a load at one free end, what would the shape of the Shear Force Diagram (SFD) look like?
The reaction force at support C is 80
a) Linear
b) Parabolic
c) Linear with discontinuity
d) Arbitrary curve
View Answer

Answer: c
Explanation: Due to the non-uniform loading and the support conditions at points B and C, the SFD will be linear but with a discontinuity at each support.

3. For a beam configuration where the shape of the Bending Moment Diagram (BMD) is influenced by a hinge at B, a roller at C, and free ends at A and D, what will be the shape of the BMD?
The reaction force at support C is 80
a) Rectangular
b) Triangular
c) Parabolic
d) Arbitrary curve
View Answer

Answer: b
Explanation: The BMD shape is triangular as it linearly increases up to point C and then decreases linearly towards point D.
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4. For a beam structure with a peak shear force influenced by a 60 kN load at point D, what is the peak value of the Shear Force Diagram (SFD)?
The reaction force at support C is 80
a) 20
b) 40
c) 60
d) 80
View Answer

Answer: c
Explanation: The SFD decreases to 20 kN at point B, increases by 80 kN at point C, and remains constant thereafter, leading to a peak shear force of 60 kN.

5. In a beam supported by a hinge at B and a roller at C, with free ends at A and D, where will the peak value of the Bending Moment Diagram (BMD) occur?
The reaction force at support C is 80
a) A
b) B
c) C
d) D
View Answer

Answer: c
Explanation: The BMD reaches its peak at point C due to the linear increase and decrease on either side of this point, creating a triangular shape.
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6. In a conjugate beam derived from a beam with free end A, which type of support will be added at point A in the conjugate beam?
The reaction force at support C is 80
a) roller
b) pin
c) hinge
d) fixed
View Answer

Answer: d
Explanation: Since point A is a free end in the original beam, it will become a fixed end in the conjugate beam.

7. For a conjugate beam created from an initial beam with two fixed ends, how many fixed joints will be in the conjugate beam?
The reaction force at support C is 80
a) 1
b) 2
c) 3
d) 4
View Answer

Answer: b
Explanation: The conjugate beam will have two fixed joints corresponding to the fixed ends in the original beam.

8. A conjugate beam derived from a beam with a pin and a roller support in the original structure will include a hinge. Is this statement true or false?
The reaction force at support C is 80
a) true
b) false
View Answer

Answer: b
Explanation: The conjugate beam will have two hinges corresponding to the pin and roller in the original beam.

9. For a conjugate beam derived from a beam with a hinge at B, what is the shear force at hinge B in the conjugate beam?
The reaction force at support C is 80
a) 30/EI
b) 40/EI
c) 60/EI
d) 80/EI
View Answer

Answer: a
Explanation: The shear force at hinge B in the conjugate beam can be calculated by balancing moments about point C in segment BC.
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10. For a conjugate beam derived from a beam with a roller at C, what will be the shear force at hinge C in the conjugate beam?
The reaction force at support C is 80
a) 30/EI
b) 40/EI
c) 60/EI
d) 80/EI
View Answer

Answer: c
Explanation: The shear force at hinge C in the conjugate beam is found by balancing moments about point B in segment BC.

11. In a conjugate beam derived from a beam with a hinge at B, what is the modulus of slope at point A?
The reaction force at support C is 80
a) 90/EI
b) 40/EI
c) 30/EI
d) 20/EI
View Answer

Answer: c
Explanation: The modulus of slope at point A can be calculated by balancing shear forces in the conjugate beam AB.

12. In a conjugate beam configuration where the original beam’s free end is at D, what will be the modulus of slope at point D?
The reaction force at support C is 80
a) 90/EI
b) 40/EI
c) 30/EI
d) 20/EI
View Answer

Answer: a
Explanation: The modulus of slope at point D can be calculated by balancing shear forces in the conjugate beam CD.

13. In a conjugate beam derived from a beam where point A is a free end, what will be the modulus of deflection at point A?
The reaction force at support C is 80
a) 20/EI
b) 30/EI
c) 80/EI
d) 90/EI
View Answer

Answer: b
Explanation: The modulus of deflection at point A is calculated by balancing moments about point B in the conjugate beam AB.

14. In a conjugate beam configuration derived from a beam where point D is a free end, what will be the modulus of deflection at point D?
The reaction force at support C is 80
a) 20/EI
b) 30/EI
c) 80/EI
d) 90/EI
View Answer

Answer: c
Explanation: The modulus of deflection at point D can be calculated by balancing moments about point C in the conjugate beam CD.

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