The A-36 steel post is subjected to the forces shown. If the strain gages \(a\) and \(b\) at point \(A\) give readings of \(\epsilon_{a}=300\left(10^{-6}\right)\) and \(\epsilon_{b}=175\left(10^{-6}\right)\), determine the magnitudes of \(\mathbf{P}_{1}\) and \(\mathbf{P}_{2}\).

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45 2 ft P2 -4 in- 1 in. Section c-c [2 in. C 1 in.--