$8\mathrm{.}8.$ Design a glue$-$laminated Gerber beam over four supports, all spaced $30ft$ apart. Load the beam with a dead load of $150l\frac{b}{f}t$ and a live load of $600l\frac{b}{f}t.$ You can ignore the self$-$weight of the member. Use a computer program to identify and analyze the load cases that generate the largest moments in a span and the largest negative moment at a support. Locate the hinges such that the system is stable and bending moments in the beam are kept small. Plot the shear and bending moment diagram. Assume an allowable stress of $2000$ psi in bending and $400$ psi for shearing. The allowable deflections for the combined loads are $\frac{L}{240}.$ There is no need to apply wet$-$use reduction factors or load duration reduction factors.