If \(P=800 \mathrm{lb}\), determine the minimum dimension \(a\) of the beam's cross section to the nearest \(\frac{1}{8}\) in. to safely support the load. The wood species has an allowable normal stress of \(\sigma_{\text {allow }}=1.5 \mathrm{ksi}\) and an allowable shear stress of \(\tau_{\text {allow }}=150\) psi.

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-3 ft- -3 ft- -3 ft - 2a