A bar of uniform cross-sectional area A, modulus of elasticity E, and length L is fixed...

A bar of uniform cross-sectional area A, modulus of elasticity E, and length L is fixed at its right end and subjected to axial forces P₁ and P₂ at its free end.Verify that the total strain energy stored in the bar is given by

Note that U is not the sum of the strain energies due to P₁ and P₂ acting separately. Find the components of the energy for and v = 0.25.