Gere & Goodno — Axially Loaded Members: Problem 2.3-19

2.3-19 Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements \(\delta_B\) and \(\delta_C\) if \(P = 225\text{ kN}\), \(L = 1.5\text{ m}\), \(t = 10\text{ mm}\), \(b_1 = 70\text{ mm}\), \(b_2 = 75\text{ mm}\), and \(E = 110\text{ GPa}\). (Reference to Problem 2.3-18: A flat brass bar has length \(L\), constant thickness \(t\), and a rectangular cross section whose width varies linearly... Calculate the displacements \(\delta_B\) and \(\delta_C\). The figure shows a bar fixed at point \(A\), with midpoint \(B\) and end \(C\). A load \(P\) is applied at \(B\) and a load \(2P\) is applied at \(C\). The width varies from \(b_2\) at \(A\) to \(b_1\) at \(B\) and back to \(b_2\) at \(C\) as per the specific diagram for 2.3-19.)