An axial load P is supported by a short W8 3 40 column of crosssectional
area A 5 11.7 in2 and is distributed to a concrete foundation
by a square plate as shown. Knowing that the average
normal stress in the column must not exceed 30 ksi and that the
bearing stress on the concrete foundation must not exceed 3.0 ksi,
determine the side a of the plate that will provide the most economical
and safe design.