The board's overhang beam is constructed using two 2-in. by 4-in. board braced as shown. If the allowable bending stress is \(\sigma_{\text {allow }}=600\) psi, determine the largest load \(P\) that can be applied. Also, determine the maximum spacing of nails, \(s\), along the beam section \(A C\) if each nail can resist a shear force of \(800 \mathrm{lb}\). Assume the beam is pin connected at \(A, B\), and \(D\).

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2 ft 00 2 ft A B P -3 ft C 4 in. 2 in. 2 in.