A cylindrical specimen of some alloy 8 mm (0.31 in.) in diameter is stressed elastically in tension. A force of 15,700 N (3530 lbf) produces a reduction in specimen diameter of 5 ´ 10-3 mm (2 ´ 10-4 in.). Compute Poisson's ratio for this material if its modulus of elasticity is 140 GPa (20.3 ´ 106 psi).

Poisson's ratio of the given wire is 0.28

Explanation:

Longitudinal extension in the length of the wire is given as

now we have

so we will have

now we know that lateral extension of the wire is given as

Now we know that poisson's ratio is given as

the answer would be c

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