UPSC Civil Service Exam Questions - Engineering

Q1:

For a state of plane stress σ1 = σx = 40 MPa, and σ2 = σy = 20MPa. What are the values of the maximum in-plane shearing stress and absolute maximum shearing stress ?

A (± 10, 20) MPa

B (± 10, 10) MPa

C (± 20, 10) MPa

D (± 20, 20) MPa

ANS:A - (± 10, 20) MPa

Max palne shear stress = (sigma1-sigma 3)/2.
= (40-20)/2=10MPa.

Absolute shear stress = sigma 1/2.
= 40/2=20Mpa.