The simply supported beam is subjected to a uniform load of \(2 \mathrm{kip} / \mathrm{ft}\). Code restrictions, due to a plaster ceiling, require the maximum displacement not to exceed \(1 / 360\) of the span length. Select the lightest-weight A-36 steel wide-flange beam from Appendix B that will satisfy this requirement and safely support the load. The allowable bending stress is \(\sigma_{\text {allow }}=24 \mathrm{ksi}\) and the allowable shear stress is \(\tau_{\text {allow }}=14 \mathrm{ksi}\). Assume \(A\) is a pin and \(B\) a roller support.

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A 8 kip 2 kip/ft 8 kip -4 ft -8 ft -4 ft. B