The GATE Grind

GATE 2022 AE – Question 28

Structures · Strength of materials: Transformation of stress and strain, Mohr's circle, combined loading and failure criteria · 1 mark · Multiple select

Let σ and τ represent the normal stress and shear stress on a plane, respectively. The Mohr circle(s) that may possibly represent the state of stress at points in a beam of rectangular cross-section under pure bending is/are:

source diagram and its labels are reproduced in the attached image.
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) Option B in the figure; (C) Option C in the figure

Explanation

Pure bending gives a uniaxial local normal stress with zero shear. Its Mohr circle touches the origin, on either the tensile or compressive side; B and C do so.