1.In Conjugate-Beam method, shear compare with:-
a) Slope
b) Moment
c) Displacement
d) External load
Explanation: They have similar equations. In one we find area under load, while in other we find area under M/EI
2. In Conjugate-Beam method, moment compare with:-
a) Slope
b) Shear
c) Displacement
d) External load
Explanation: They have similar equations as they both are doubly integrated.
3. 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.
4. 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.
5. Pin joint is replaced by __________ in conjugate beam.
a) Roller
b) Pin
c) Fixed support
d) Link
Explanation: Since pin has non-zero slope but zero displacement, conjugate beam has got to have zero moment.
6. Roller is replaced by fixed joint in conjugate beam.
a) True
b) False
Explanation: It is replaced by a roller only. Logic of pin applies here also.
7. Fixed joint is replaced by ___________ in conjugate beam.
a) Roller
b) Pin
c) Free end
d) Link
Explanation: Since fixed support has non-zero slope and non-zero displacement, conjugate beam has got to be free.
8. Free end is replaced by __________ in conjugate beam.
a) Roller
b) Pin
c) Fixed support
d) Link
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
9. 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.
10. Hinge is replaced by ___________ in conjugate beam.
a) Roller
b) Hinge
c) Fixed support
d) Link
Explanation: Since hinge has non-zero slope and non- zero displacement, conjugate beam has got to have non-zero moment and non-zero shear.