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Derive expression for Poisson’s ratio.

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i. Let, 

L = original length 

l = increase/decrease in length 

D = original diameter 

d = change in diameter

ii. The ratio of change in dimensions to original dimensions in the direction of the applied force is called linear strain.

Linear strain = \(\frac{l}{L}\) …. (1)

iii. The ratio of change in dimensions to original dimensions in a direction perpendicular to the applied force is called lateral strain.

Lateral strain = \(\frac{d}{D}\) ….(2)

iv. Poisson’s ration,

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