The rigid structure BCD is supported as shown. Assume a = 5.6 ft, b=4.4ft, c= 2.8 ft, d= 1.6 ft, and = 40°. Tie rod (1) is attached at A and C with double shear pin connections, while the pin at B is attached with a single shear connection. The pins at A, B, and C each have a diameter of 0.500 in. and an ultimate shear strength of 73 ksi, and tie rod (1) has diameter of 0.875 in. and a yield strength of 39 ksi. Determine the allowable load P that may be applied to the rigid beam if an overall factor of safety of 1.6 is required.

Fig: 1