The assembly shown below consists of a steel (Es = 200 GPa and As tube AB and a brass (EB = 100 GPa and AB 2000 mm²) tube BC. The supports at A and C and the plate at B used to apply the 400 kN load are rigid. Prior to the load being applied, the tubes are stress-free. When the load is applied, determine (a) The normal stresses in each tube. (b) The deflection of the rigid plate at B. 200 kN Steel 200 kN 1.5 m B = Brass 1m = m²) 1500 mm

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(8) The homogeneous bar is supported by a smooth pin at C a cable that runs from A to B around the smooth peg at D as shown. Find the stress in the cable if its diameter is 15mm and bar weighs 6,000 kg. 5m B 5m A

Part 1. A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁ - 50 mm and inside diameter d₁-30 mm. = 100 MPa, and the The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow) allowable shear stress of steel core (2) is (Tallow)2= 135 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T D₁ L Calculate the polar moment of inertia, J₁, of the aluminum tube. Answer: J₁ (106) mm².

A 10-mm diameter steel bolt is surrounded by bronze sleeve. The outer diameter of the bronze sleeve is 20 mm and its inner diameter is 10-mm. Given that the yield stress for the steel is 640 MPa and the yield stress for the bronze is 520 MPa, determine the magnitude of the maximum allowable total load that can be applied to this assembly. (Assume full bond between the steel and the bronze sleeve) Esteel = 200 GPa, Ebronze = 100 GPa, Factor of safety = 1.5