Composite wood-steel beam

A 4 by 8 wood beam (E = 2,000 ksi, finished dimensions = 3.5 in. by 7.25 in.) is reinforced by two steel 0.25-in.-thick side plates (E = 30,000 ksi) as shown.

The allowable stress in the wood is 1,200 psi and the allowable stress in the steel is 24,000 psi.