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 \(\sigma_{\text {allow }}=1700 \mathrm{psi}\), determine the smallest height \(h\) of the notch so that the beam will support a load of \(P=600 \mathrm{lb}\). Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.

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