The simply supported beam is composed of two W12 \(\times 22\) sections built up as shown. Determine the maximum uniform loading \(w\) the beam will support if the allowable bending stress is \(\sigma_{\text {allow }}=22 \mathrm{ksi}\) and the allowable shear stress is \(\tau_{\text {allow }}=14 \mathrm{ksi}\).

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/ / / / / / / / W 24 ft