$11\mathrm{.}32$ A short post, $150$ mm by $150$ mm $,$ of Douglas fir, is rein$-$

forced by the addition of two ASTM A$36$ steel plates. The

cross section is 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 $.$