Determine the maximum tensile, compressive, and shear stresses acting on the cross section of the tube at point A of the hitch bicycle rack shown in the figure.
The rack is made up of 2 in× 2 in. steel tubing which is 1/8 in. thick. Assume that the weight of each of four bicycles is distributed evenly between the two support arms so that the rack can be represented as a cantilever beam ABCDEF) in the x-y plane. The overall weight of the rack alone is W= 60 lb. directed through C, and the weight of each bicycle is B = 30 lb.