Required Depth of Beam for Combined Bending and Axial Stresses

A proposed beam configuration must carry the loads shown in the drawing. The width of the section is fixed at 18 inches. But the depth of the beam can vary. The top of the beam is under combined stresses at the mid section. fc' = 3000 psi and allowable stress in flexure is 0.45 fc'. What is the nearest depth in whole inches that can accommodate the loading? The dimensions shown are in feet.

37 45 42 32

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