UPSC Civil Service Exam Questions - Engineering

Q1:

In a plane strain problem in XY plane, the shear strain = 12 x 10-6, and the normal strain in X and Y direction = 0, For this state of strain, what is the diameter of the Mohr's Circle of strain ?

A 6 x 10-6

B 8 x 10-6

C 12 x l0-6

D 24 x l0-6

ANS:C - 12 x l0-6

Option C is correct , question asking about diameter, not radius.

radius = √{(ex−ey)^2/2+(xy)^2/2}.
= 6x10^6.
dia. = 2x6x10^2.
= 12x10^6.