A 20 -ft-long column is made from a 2014-T6 aluminum alloy. If it is pinned at its top and bottom, and a compressive force \(\mathbf{P}\) is applied at point \(A\), determine the maximum allowable magnitude of \(\mathbf{P}\) using the equations of Sec. 13.6 and Eq. 13-30.

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5.25 in. 0.5 in.- x 10 in. A. P x 10 in. 0.5 in. 0.5 in.