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GATE Exam Questions - Engineering

Q1:

A cantilever beam of length L and a cross section with shape factor f supports a concentrated load P as shown below

The length LP of the plastic zone, when the maximum bending moment equals the plastic moment MP, given by

A

B

C

D

ANS:D -

f = L /(L-Lp).
(1/f) = (L-Lp)/L.
(1/f) = (L/L) - (Lp/L).
(Lp/L) = 1 - (1/f ).