A rectangular wooden column has the cross section shown. If the column is (6 mathrm{ft}) long and
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A rectangular wooden column has the cross section shown. If the column is \(6 \mathrm{ft}\) long and subjected to an axial force of \(P=15\) kip, determine the required minimum dimension \(a\) of its cross-sectional area to the nearest \(\frac{1}{16}\) in. so that the column can safely support the loading. The column is pinned at both ends.
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