UPSC Civil Service Exam Questions - Engineering

Q1:

At a point in a strained material, if two mutually perpendicular tensile stresses of 2000 kg/cm2 and 1000 kg/cm2 are acting, then the intensity of tangential stress on a plane inclined at 15° to the axis of the minor stress will be :

A 125 kg/cm2

B 250 kg/cm2

C 500 kg/cm2

D 1000 kg/cm2

ANS:B - 250 kg/cm2

Shere stress = (sigma1-sigma2)/2*(sin2θ)
= (2000-1000)/2*(sin2*15)
= 250.