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GATE 2021 AE – Question 20

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

Under uniaxial tension, the failure planes for brittle and ductile materials, respectively, are

source diagram and its labels are reproduced in the attached image.
  1. along x–x in both materials
  2. along x–x in brittle material and along y–y in ductile material
  3. along y–y in brittle material and along x–x in ductile material
  4. along y–y in both materials

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Show answer and explanation

Correct answer: (B) along x–x in brittle material and along y–y in ductile material

Explanation

Brittle tensile failure occurs on the maximum normal stress plane X–X. Ductile slip occurs on the maximum shear stress plane Y–Y at 45°.