A material has the modulus of elasticity equal to 3 times its modulus of rigidity. Which of the following statements may be INCORRECT?

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SSC JE Civil 05 Jun 2024 Shift 1 Official Paper - 1
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  1. There is a change in the volume of the material.
  2. Poisson's ratio is equal to 0.5 .
  3. Volumetric strain is equal to zero.
  4. The bulk modulus is infinite.

Answer (Detailed Solution Below)

Option 1 : There is a change in the volume of the material.
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Detailed Solution

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Explanation:

Given that,  E=3G

we know E = 2G(1 + µ)

then  3G=2G(1 + µ)

Poisson’s ratio µ=0.5

Volumetric strain = \(= \frac{\sigma}{E} (1 - 2\mu) = 0 \)

Bulk modulus (K)= infinite(∞)

Therefore, option 1 is incorrect.

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