For the beam below with fixed-fixed boundary conditions, do the following calculations by hand. Let k₁ = 480 #/in, k₂ = 310 #/in, k3 = 70 #/in, k4 = 90 #/in,

k5 = 10 #/in, F₂ = 200 # and F3 = 500 #. 1. Solve for the displacements at nodes 1 through 4 (U₁, U₂, U3, and 4). 2. Solve for the reaction forces at both ends (R₁ and R4). R 1 F 2 TR ка www 42 3 K3 k 3 4. 4 3 mm K5 www 43 R 4