Gere & Goodno — Axially Loaded Members: Problem 2.4-21

2.4-21 A rigid bar AB of a length \(L = 1600\text{ mm}\) is hinged to a support at A and supported by two vertical wires attached at points C and D (see figure). Both wires have the same cross-sectional area (\(A = 16\text{ mm}^2\)) and are made of the same material (modulus \(E = 200\text{ GPa}\)). The wire at C has a length \(h = 0.4\text{ m}\) and the wire at D has a length twice that amount. The horizontal distances are \(c = 0.5\text{ m}\) and \(d = 1.2\text{ m}\). (a) Determine the tensile stresses \(\sigma_C\) and \(\sigma_D\) in the wires due to the load \(P = 970\text{ N}\) acting at end B of the bar. (b) Find the downward displacement \(\delta_B\) at end B of the bar.