# Structural Analysis Questions and Answers – Conjugate-Beam Method

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

1. Conjugate-Beam method was developed by:-
a) Hooke
b) Otto mohr
c) Charles E.greene
d) H.muller-Breslau

Explanation: Moment area method was developed by mohr and Greene.

2. In this method, shear compare with:-
a) Slope
b) Moment
c) Displacement

Explanation: They have similar equations. In one we find area under load, while in other we find area under M/EI.

3. In this method, moment compare with:-
a) Slope
b) Shear
c) Displacement

Explanation: They have similar equations as they both are doubly integrated.

4. If L is length of conjugate beam and l is length of real beam then:
a) L > l
b) L < l
c) L = l
d) Can’t say

Explanation: Length remains same while converting a beam into its conjugate.

5. While converting a beam into its conjugate one, end supports remain same. This statement is:-
a) Always true
b) Always false
c) Can’t say
d) Depends upon type of load

Explanation: To account for slope and displacement of real beam, support changes of conjugate beam but not every time.
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6. Pin joint is replaced by __________ in conjugate beam.
a) Roller
b) Pin
c) Fixed support

Explanation: Since pin has non-zero slope but zero displacement, conjugate beam has got to have zero moment.

7. Roller is replaced by fixed joint in conjugate beam.
State whether the above statement is true or false.
a) True
b) False

Explanation: It is replaced by a roller only. Logic of pin applies here also.

8. Fixed joint is replaced by ___________ in conjugate beam.
a) Roller
b) Pin
c) Free end

Explanation: Since fixed support has non-zero slope and non-zero displacement, conjugate beam has got to be free.

9. Free end is replaced by __________ in conjugate beam.
a) Roller
b) Pin
c) Fixed support

Explanation: Since a free end has non-zero slope and non- zero displacement, conjugate beam has got to have non-zero moment and non-zero slope.

10. Internal pin is replaced by __________ in conjugate beam.
a) Roller
b) Pin
c) Fixed support
d) Hinge

Explanation: Since int. pin has non-zero slope but zero displacement, conjugate beam has got to have zero moment.

11. Hinge is replaced by ___________ in conjugate beam.
a) Roller
b) Hinge
c) Fixed support

Explanation: Since hinge has non-zero slope and non- zero displacement, conjugate beam has got to have non-zero moment and non-zero shear.

12. In conjugate beam, load is always away from beam.
State whether the above statement is true or false.
a) True
b) False

Explanation: If M/EI is +ve then it acts upward, otherwise downward.

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