Problem $3(15\backslash \%)$

A short post, $\backslash (150\backslash$mathrm$\{$~mm$\}\backslash$times $150\backslash$mathrm$\{$~mm$\}\backslash )$ of Southern Pine, is reinforced by the addition of two ASTM A$36$ steel plates, as shown. Assume that the components are of equal lengths and are so connected that they act as a single unit and deform equally. Use the nominal dimensions of the wood, as shown, and compute the allowable compressive load. Allowable compressive stress for the steel is $147$ MPa $.$