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GATE 2022 PI – Question 14

General Engineering · Applied Mechanics · 1 mark · Multiple choice

An isotropic material has shear modulus G. What is the maximum possible Young’s modulus?

  1. G
  2. 2G
  3. 3G
  4. 4G

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Show answer and explanation

Correct answer: (C) 3G

Explanation

$E=2G(1+\nu)$. The upper Poisson-ratio limit is ν = 1/2 for incompressibility, giving the limiting maximum **E = 3G, C**. For a compressible stable material ν < 1/2, so 3G is approached as a limit.

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