The simply supported joist is used in the construction of a floor for a building. If the allowable shear stress is \(\tau_{\text {allow }}=\) 350 psi and the allowable bending stress is \(\sigma_{\text {allow }}=1500\) psi, determine the height \(h\) of the notch so that the both allowable stresses occur at the same time. Also, what load \(P\) will cause this to happen? Neglect the stress concentration at the notch.

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A 15 ft C 10 in. 15 ft B Th 2 in. D