Solve Prob. 8–13 using Castigliano’s theorem.

Data from Prob. 8–13

Determine the vertical displacement of point A. Assume the members are pin connected at their ends. Take A = 100 mm² and E = 200 GPa for each member. Use the method of virtual work.

Castigliano's Theorem. Setting P = 20 kN, its actual value, and applying Eq. 8-28, 3 kN Ac 3 kN = = = |x|1 - 2 m 0 M M (34x4x1)(0.5x1) dx *(18x2)(0.5x) dx2 JM dx aP/EI 234.7 kNm 192 kN.m M' (c) Fig. 8-28 + M 5 426.7 kN m