(Solved): Exercise 8.1: Use the Virtual Displacement Method and solve the following problems: a) Determine the ...

Exercise 8.1: Use the Virtual Displacement Method and solve the following problems: a) Determine the horizontal and vertical displacements at point A and the forces in members AC and AD for the two-bar truss shown in Figure 8.1(a). b) Check the results for the forces in the members by comparing them against the forces found by the methods for joints. c) In Figure 8.1(b) there have been two members added: AB and AE . For all four members \( (\mathrm{AB} \), \( \mathrm{AC}, \mathrm{AD} \), and AE ) find the horizontal and vertical displacements at point A and the forces in each member. The ratios of cross sectional area to bar length, \( \mathrm{A}_{i} / \mathrm{L}_{\mathrm{i}} \), for each bar " \( i \) " are as follows: 0.04 for bar AB and bar \( \mathrm{AD}, 0.02 \) for bar AC , and 0.08 for bar AE . Assume the elastic modulus is \( \mathrm{E}=200 \mathrm{GPa} \). (a) Figure 8.1