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The upper deck of a football stadium is supported by braces, each of which transfers a load P= 150 kips to the base of a column (see figure part a). A cap plate at the bottom of the brace distributes the load P to four flange plates (ty=1 in.) through a pin (dp = 2 in.) to two gusset plates (tg = 1.5 in.) (see figure parts b and c). Determine the following quantities: (a) The average shear stress in the pin (b) The average bearing stress between the flange plates and the pin, and also between the gusset plates and the pin. Note: Disregard friction between the plates. Cap plate Flange plate (ly= 1 in.) Pin (dp = 2 in.) Gusset plate (1 = 1.5 in.) (b) Detail at bottom of brace P=150k - Cap plate - Pin (dp = 2 in.) - Flange plate (1/= 1 in) Gusset plate (, = 1.5 in.) (a) Stadium brace (c) Section through bottom of brace