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

This set of Structural Analysis MCQs focuses on “Conjugate-Beam Method – 2”.

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given.

1. What will be the reaction force at support C?
a) 20
b) 40
c) 80
d) 120

Explanation: Balance moment about point B.

2. What will be the shape of SFD in this case?
a) Linear
b) Parabolic
c) Linear with discontinuity
d) Arbitrary curve

Explanation: Since loads are not uniform, SFD will be linear and support at point C and B will lead to discontinuity.

3. What is the shape of BMD for this diagram?
a) Rectangular
b) Triangular
c) Parabolic
d) Arbitrary curve

Explanation: It will be 0 till point B, and then will increase till C and then again decrease till D (every time linearly), thus making it triangular.

4. What will be the peak value of SFD?
a) 20
b) 40
c) 60
d) 80

Explanation: It will decrease to 20 at point B and then increase by 80 at point C and then will remain constant. So, peak value will be 80-20 i.e. 60KN.

5. Where would peak value of BMD lie?
a) A
b) B
c) C
d) D

Explanation: It will be 0 till point B, and then will increase till C and then again decrease till D (every time linearly), thus making it triangular.

6. Which type of joint would replace point A in its conjugate beam?
a) roller
b) pin
c) hinge
d) fixed

Explanation: Since point A is a free end, a fixed joint would replace it in the conjugate beam.

7. How many fixed joint will be there in conjugate beam?
a) 1
b) 2
c) 3
d) 4

Explanation: Since there are 2 fixed ends in initial beam, there will be two fixed joints.

8. There won’t be any hinge in the conjugate beam.
State whether the above statement is true or false.
a) true
b) false

Explanation: Initial beam comprises of one internal pin and one internal roller, so conjugate beam would contain two hinges.

9. What will be the shear developed at hinge B in conjugate beam?
a) 30/EI
b) 40/EI
c) 60/EI
d) 80/EI

Explanation: Balance moment about point C in the beam BC.

10. What will be the shear developed at hinge C in conjugate beam?
a) 30/EI
b) 40/EI
c) 60/EI
d) 80/EI

Explanation: Balance moment about point B in the beam BC.

11. What will be the modulus of slope at point A?
a) 90/EI
b) 40/EI
c) 30/EI
d) 20/EI

Explanation: Just balance shear forces in the conjugate beam AB.

12. What will be the modulus of slope at point D?
a) 90/EI
b) 40/EI
c) 30/EI
d) 20/EI

Explanation: Just balance shear forces in the conjugate beam CD after balancing moment.

13. What will be the modulus of deflection of point A?
a) 20/EI
b) 30/EI
c) 80/EI
d) 90/EI

Explanation: Balance moment about point B in beam AB.

14. What will be the modulus of deflection of point D?
a) 20/EI
b) 30/EI
c) 80/EI
d) 90/EI

Explanation: Balance moment about point C in beam CD.

Sanfoundry Global Education & Learning Series – Structural Analysis.

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