Beer & Johnston — Stress and Strain—Axial Loading: Problem 2.122

2.122 Bar AB has a cross-sectional area of \(1200\text{ mm}^2\) and is made of a steel that is assumed to be elastoplastic with \(E = 200\text{ GPa}\) and \(\sigma_Y = 250\text{ MPa}\). Knowing that the force \(F\) increases from \(0\) to \(520\text{ kN}\) and then decreases to zero, determine (a) the permanent deflection of point \(C\), (b) the residual stress in the bar.