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Strength of Materials

Elastic Constants

For an elasti...

Question

For an elastic material, Poisson's ratio is $μ$ , Modulus of Elasticity is $E$ , Modulus of Rigidity is $C$ and Bulk Modulus is $K$ . $μ$ is expressible in terms of $K$ and $C$ as

A

\frac{6 K - 2 C}{3 K - 2 C}

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B

\frac{6 K + 2 C}{3 K - 2 C}

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C

\frac{3 K - 2 C}{6 K + 2 C}

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D

\frac{3 K + 2 C}{6 K + 2 C}

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Solution

The correct option is C $\frac{3 K - 2 C}{6 K + 2 C}$
$μ = \frac{3 K - 2 C}{6 K + 2 C}$

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