Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 5 mm in diameter. Assume a = 550 mm, b = 275 mm, h = 450 mm, and 8= 50°. If the normal stress in tie rod (1) cannot exceed 180 MPa and the shear stress in pin B cannot exceed 120 MPa, determine the maximum load Pmax that can be supported by the structure. (1) h a B b P

A compound shaft consists of an aluminum tube (1) securely jointed to a steel tube (2). Both aluminum and steel tubes have an outside diameter of D= 48 mm and a wall thickness of t= 3 mm. The shaft is secured by a fixed support at one end and is subjected to a torque of T= 115 N.m at the other end. Determine the maximum stress in the shaft.[L1 = 200 mm, L2 = 350 mm, D = 48 mm , t = 3 mm, G = 75 GPa]