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UPSC Civil Service Exam Questions - Engineering

Q1:

The figure shows a rigid frame fixed at A and hinged at C.
If a pure moment of 20 kNm is applied at B in the plane of the figure, then what is the moment at the fixed end A?

A 10 kNm

B 7.5 kNm

C 5 kNm

D 2.5 kNm

ANS:C - 5 kNm

DF= Kab/sum of K.
= 1/1+1.
= 1/2.

DM= 20*1/2,
= 10.

COM = DM/2 [FOR FIXED].
= 10/2,
= 5.