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Strength of Materials

Elastic Constants

The bulk modu...

Question

The bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poisson's ratio of the material is

A

1 / 7

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B

2 / 7

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C

3 / 7

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D

4 / 7

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Solution

The correct option is B $2 / 7$
$μ = \frac{3 K - 2 G}{6 K + 2 G}$
Given $K = 2 G$
$∴ μ = \frac{6 G - 2 G}{12 G + 2 G} = \frac{4}{14} = \frac{2}{7}$

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