Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.45 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 =0.75in. Aluminum rod (3) has a diameter of d3 = 1.10in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi.
a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 2.1 is required.
b) Determine the deflection of point D for the load determined in part (a).
c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.5 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.