The GATE Grind

GATE 2019 MT – Question 43

Mechanical Behaviour of Materials · Elasticity stress and strain · 2 marks · Multiple choice

For the illustrated plane stress σx=−10 MPa, σy=30 MPa and τxy=20 MPa, which Mohr-circle construction is correct?

Diagram for GATE 2019 MT question 43
  1. Construction A
  2. Construction B
  3. Construction C
  4. Construction D

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) Construction B

Explanation

The centre is $C=(\sigma_x+\sigma_y)/2=10$ MPa and radius $R=\sqrt{[(\sigma_x-\sigma_y)/2]^2+\tau_{xy}^2}=\sqrt{800}=28.28$ MPa. The principal stresses are −18.28 and 38.28 MPa. Construction B places the centre at +10 and uses the correct positive-slope diameter for the plotted shear convention.

More Elasticity stress and strain questions

All Elasticity stress and strain questions →