Question: beam ab is supported as shown in the figure tie...

Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 51 ksi, and tie rod (1) has a yield strength of 38 ksi. A concentrated load of P = 13 kips is applied to the beam as shown. A factor of safety of 2.7 is required for all components. Assume c = 8.2 ft, d = 11 in, a = 3.5 ft, and b = 7.8 ft. Determine:
(a) the minimum required diameter for tie rod (1).
(b) the minimum required diameter for the double shear pins at B and C.
(c) the minimum required diameter for the single shear pin at A.