A steel bar serving as a vertical hanger to support heavy machinery in a factory is attached to a support by the bolted connection. The main part of the hanger has a rectangular cross section with width b1 = 1.5 in. and thickness t = 0.5 in. At the connection, the hanger is enlarged to a width b2 = 3.0 in. The bolt, which transfers the load from the hanger to the two gussets, has diameter d = 1.0 in. Determine the allowable value of the tensile load P in the hanger based upon the following four considerations:
(a) Allowable tensile stress in the main part of the hanger is 16,000 psi.
(b) Allowable tensile stress in the hanger at its cross section through the bolt hole is 11,000 psi.
(c) Allowable bearing stress between the hanger and the bolt is 26,000 psi.
(d) Allowable shear stress in the bolt is 6,500 psi.