UPSC Civil Service Exam Questions - Engineering

Q1:

A simply supported beam of span (l) carries a point load W at midspan. The breadth 'b' of the beam along the entire span is constant. Given, f = permissible stress in bending, for a beam of uniform strength, the depth of the beam at any cross-section, at a distance x from the support would be :

A 6Wx/fb

B
6Wx/fb

CWx/fb

DWx/fb

ANS:D - 3 Wx/fb

There should be under root.

M/I = f/y.
WL/4 * 6/b = d^2.
d = {3/2*WL/fb}^.05.