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19 A brass sleeve having an outside diameter of 40 mm is screwed on to a steel stud such that the mean interface diameter is 24 mm. The ends of the assembly are then machined so that the two materials are the same length. If the temperature of the assembly is increased by 60°C and the assembly is then subjected to a compressive force of 40 kN, calculate the magnitude and sense of the stresses in the steel and the brass. Assume there to be no back- lash in the screw thread. For steel, take E = 200 kN/mm2 and a = 11.5 X 10-1°C; for brass, take E = 90 kN/mm² and a = 16 x 10-1°C. (Steel, 25.1 N/mm² (compressive); brass, 35.6 N/mm² (compressive)]
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