Two cylindrical parts are to be assembled to make an interference fit. The nominal diameter of the assembly is 100 mm. Before assembly, the inner member (copper) has an outer radius that is 0.2 mm larger than the inner radius of the outer member (aluminum). If there is no other force acting on the assembly, determine the maximum and minimum principal stress in both the members. Assume Poisson's ratio of 0.3 for both the materials. Also take rj = 30 mm for copper cylinder and ro = 80 mm for aluminum cylinder

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Displacement with elemental stiffness method, the rest the same.

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In the attached picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 500 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?

Problem 1: The assembly below will be used for each problem. Lengths, diameters, and materials are provided. If the temperature when this system was assembled was 74F, what would be the stress in each cylinder at a temperature of 40F? Problem 2: If the fixed support at D were removed and the temperature change did not occur, how far would point D move if a 400 lb tension load was applied at the center of each cylinder? (Hint: what sections would you break up the assembly into to find the Normal forces?) Problem 3: Based on the results from problem 2 and the sections specified in your solution, how much would the diameter of each section shrink from the loads applied? (Hint: Look at Poisson's ratio for each of the sections listed. 304 Stainless steel 2014-T6 Aluminum C 86100 Bronze A 12 in. 8 in. D В C| 4 in. 4 ft 6 ft 3 ft