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Torque about a Point

A bar is subj...

Question

A bar is subjected to an axial tension. Axial strain in bar is $ϵ$ . While volumetric strain in bar is $0.4 ϵ$ . What is Poisson's ratio of the material ?

A

0.4

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B

0.33

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C

0.30

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D

0.25

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Solution

The correct option is C $0.30$
$ϵ_{l} = ϵ & ϵ_{v} = 0.4 ϵ$

$\Rightarrow ϵ_{v} = ϵ_{l} (1 - 2 μ)$

$\Rightarrow 0.4 ϵ = ϵ (1 - 2 μ)$

$\Rightarrow 2 μ = 1 - 0.4$

$μ = \frac{0.6}{2} = 0.3$

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Torque about a Point

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