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GATE 2019 CE (CE1) – Question 16

Solid Mechanics · Simple stress and strain relationships · 1 mark · Multiple choice

An element has biaxial tensile normal strains 0.0030 and 0.0020. Find the normal strain on a plane of maximum shear strain.

  1. 0
  2. 0.0010
  3. 0.0025
  4. 0.0050

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Correct answer: (C) 0.0025

Explanation

The stated biaxial tensile strains are principal strains. On a maximum-shear plane, at 45° to their directions, normal strain equals their mean: $(0.0030+0.0020)/2=$ **0.0025, C**. Their difference determines maximum engineering shear strain.