A flat bar of width b = 60 mm and thickness t = 10 mm is loaded in tension by a force P (see figure). The bar is attached to a support by a pin of diameter d that passes through a hole of the same size in the bar. The allowable tensile stress on the net cross section of the bar is σT = 140 MPa, the allowable shear stress in the pin is tS = 80 MPa, and the allowable bearing stress between the pin and the bar is σB = 200 MPa.
(a) Determine the pin diameter dm for which the load P will be a maximum.
(b) Determine the corresponding value Pmax of the load.

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