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GATE Exam Questions - Engineering

Q1:

A cantilever beam is shown in the below figure. The moment to be applied at free end for zero vertical deflection at that point is

A 9 kN.m clock wise

B 9 kN.m anti-clockwise

C 12 kN.m clockwise

D 12 kN.m anti-clockwise

ANS:D - 12 kN.m anti-clockwise

Compare deflection due to point load and deflection due to moment which is used for zero vertical deflection.
Yp=Ym.
WL^3/3EI =ML^2/2EI we get M=12KN-m.

And due to point load at the free end anti-clockwise rotation occurred in the beam so to balance that we use clockwise moment.

So, the answer is 12kN-m clockwise.