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GATE Exam Questions - Engineering

Q1:

The stepped cantilever is subjected to moments, M as shown in the figure below. The vertical deflection at the free end (neglecting the self weight) is

A

B

C

D Zero

ANS:C -

PL^3 / 3EI + PL^3 / 2*3EI = (3EIPL^3 +6EIPL^3)/18E^2I^2 = 9/18 = 1/2 but
M= P*L ML^2 /2EI.