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UPSC Civil Service Exam Questions - Engineering

Q1:

The rectangular block shown in the given figure is subjected to pure shear to intensity 'q'. If BE represents the i principal plane and the principal stresses are σ1, σ2 ; then the values of θ, σ1 and σ2 will be respectively.

A θ°, 90°; + q and - q

B 30°, 120°; + q and - q

C
45°, 135°; + and

D 45°, 135°; + q and - q

ANS:D - 45°, 135°; + q and - q

The angle between the two principal plan is 45 - 135°.

And question says pure stress condition and balanced section hence principle stresses will be +q and -q equal and opposite.