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UPSC Civil Service Exam Questions - Engineering

Q1:

At a certain point in a strained material, there are two mutually perpendicular stresses σx = 100 N/mm2 (Tensile) and σx = 50 N/mm2 (Compressive). [Notations : Tension (+); Compression (-) ]
What are the values of the principal stresses in N/mm2 at that point ?

A 100, -50

B -100, 50

C 75, -25

D -75, 25

ANS:A - 100, -50

First point =(Ex+Ey)/2 + (Ex-Ey)/2 = 25+75 = 100.

Second point= (Ex+Ey)/2 - (Ex-Ey)/2 = 25-75 = -50.