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?
a) 20
b) 40
c) 80
d) 120
View Answer
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?
a) Linear
b) Parabolic
c) Linear with discontinuity
d) Arbitrary curve
View Answer
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?
a) Rectangular
b) Triangular
c) Parabolic
d) Arbitrary curve
View Answer
Explanation: The BMD shape is triangular as it linearly increases up to point C and then decreases linearly towards point D.
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)?
a) 20
b) 40
c) 60
d) 80
View Answer
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?
a) A
b) B
c) C
d) D
View Answer
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.
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?
a) roller
b) pin
c) hinge
d) fixed
View Answer
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?
a) 1
b) 2
c) 3
d) 4
View Answer
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?
a) true
b) false
View Answer
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?
a) 30/EI
b) 40/EI
c) 60/EI
d) 80/EI
View Answer
Explanation: The shear force at hinge B in the conjugate beam can be calculated by balancing moments about point C in segment BC.
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?
a) 30/EI
b) 40/EI
c) 60/EI
d) 80/EI
View Answer
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?
a) 90/EI
b) 40/EI
c) 30/EI
d) 20/EI
View Answer
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?
a) 90/EI
b) 40/EI
c) 30/EI
d) 20/EI
View Answer
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?
a) 20/EI
b) 30/EI
c) 80/EI
d) 90/EI
View Answer
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?
a) 20/EI
b) 30/EI
c) 80/EI
d) 90/EI
View Answer
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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