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UPSC Civil Service Exam Questions - Engineering

Q1:

A simply supported beam of constant width and varying depth and uniform strength is subjected to a central concentrated load. The depth of the beam dx at a distance x from one of the supports is proportional to

A x1/2

B x1/3

C x

D x2

ANS:A - x1/2

M/l = f/y.

Uniform strength is given so f, is constant,
M = (w/2)*X,
I/y = bd^2 / 6.

Substitute it.
We will get,
Dx is directly proportional to root x.