📘 structural mechanics

1. **Problem Statement:** We have a simply supported beam with supports at points A and D. There is a point load of $40$ kN at point B, which is $6$ m from A, and a uniformly distr

1. **Problem Statement:** Determine the forces in members $CD$ and $GD$ of the truss shown in Figure 3 using the method of joints, and identify if these forces are tension or compr

1. **Problem Statement:** Find the value of $\Psi_B$ given the parameters $S_1 = 10.0$ ft, $S_2 = 15.5$ ft, $H_1 = 8.0$ ft, $H_2 = 16.0$ ft, $EI_{beam} = 30100$ k-ft$^2$, and $EI_{