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

Problem $11\mathrm{.}32$