Define strain energy and derive the equation for the same.

Consider deformation of body under force,
Y = stress / strain
Y = (F/A) / (x/L)
F = YAx / L

Work done for elongation is given by
W = ∫dW.dx
W = ∫dF.dx
W = ∫d(YAx/L).dx
W = YAl^2 / 2L

Thus strain energy is
W = YAl^2 / 2L

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