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UPSC Civil Service Exam Questions - Engineering

Q1:

The deflection at the free end of a uniformly loaded cantilever of length 1 m is 7.5 mm. What is the slope at the free end ?

A 0.01 radian

B 0.015 radian

C 0.02 radian

D 0.025 radian

ANS:A - 0.01 radian

Slope/deflection=(wl^3/6EI)/(wl^4/8EI),
(Slope/7.5) = (1÷6) /(8/L),
Slope/7.5 = (8/(6 * 1000));
Slope = 0.01 radian.