A uniform, rigid beam is supported by three elastic wires as shown in the figure. As the beam is lowered horizontally, the three support wires become taut simultaneously. The beam is loaded with a discrete load as shown. The wires are all made of the same material. The middle wire is twice the length of the outside wires, and the right-side wire is twice as large in cross-sectional area as the left and middle. H 1 H L/2- 600# 1 2 H L/4L/4- Q. WHAT IS THE DISTRIBUTION OF FORCES IN THE WIRES? 1. Derive a set of 3 equations in 3 unknowns in terms of the beam weight W, area A, length H, and material stiffness E. 2. Solve the equations in terms of the following numerical values and determine the extension in the cables: A = 0.1 in, E = 30x106 psi H 3 ft, L 12ft W = 150 lb F=600 lb State your assumptions carefully before presenting your solution.