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GATE Exam Questions - Engineering

Q1:

The slope of the elastic curve at the free end of a cantilever beam of span L, and with fluxural rigidity EI, subjected to uniformly distributed load of intensity w is

A wL3/6EI

B wL3/3EI

C wL4/8EI

D wL3/2EI

ANS:A - wL3/6EI

Cut a section USE EQUATION M/EI.

Then solve simple equation for slope,
M= W * (L-X) * (L-X)/2 FOR UDL

THEN d/dx and equation for slope is w(l-x)3/6EI.