Using Castigliano's $2^{nd}$ theorem, compute the displacement at the intersection of two beams. The beams

are connected at point B and their centroidal axes are orthogonal to each other. Assume the effective polar

moment of inertia of the rectangular beams to be $\frac{t^{3}H}{3}.$ The beams are made of $2024-$T$4$ aluminum.For the simply supported beam given below, use Castigliano's $2^$nd Theorem to calculate the slope at D and displacements at E and C$.$ With Virtual Work find the displacement at B and slope at E$.$ Note the different I values along the member length