For the cases $2$ and $5,$ select the lightest W section to serve as a uniformly loaded library floor beam on a simply supported beam. Lateral support occurs at the ends and at $\frac{L}{4},\frac{L}{2}$ and $3\frac{L}{4}.$ Live load deflection may not exceed $\frac{L}{300}.$ The dead load moment does not include beam weight. Assume $C_b=1\mathrm{.}0.$

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