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Question

Question: If S is the stress and Y is Young’s modulus of the material of a wire, the energy stored in the wire...

If S is the stress and Y is Young’s modulus of the material of a wire, the energy stored in the wire per unit volume is

A

2S2Y

B

S2/2Y

C

2Y/S2

D

S/2Y

Answer

S2/2Y

Explanation

Solution

u = 12\frac{1}{2}stress × strain = 12\frac{1}{2} S(SY)=S22Y\left( \frac{S}{Y} \right) = \frac{S^{2}}{2Y}.