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GATE Exam Questions - Engineering

Q1:

A propped cantilever beam in shown in the below figure. The plastic moment capacity of the beam is M0. The collapse load P is

A 4 M0/L

B 6 M0/L

C 8 M0/L

D 12 M0/L

ANS:B - 6 M0/L

There are two plastic hinges formed. One at the fixed support and another below the load.

Hence internal work done = Mo*(2*theta + theta) = 3Mo*theta.

External work done = P*delta = P*theta*(L/2).

Equating we get P = 6Mo/L.