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A steel tube of 30 mm external diameter and 20mm internal diameter encloses a copper rod of 15mm diameter to which it is rigidly joined at each end. If at a temperature of 10o C, there is no longitudinal stress, evaluate the stresses in the rod and the tube when the temperature is raised to 200o C. Take E for steel and copper are 2.1 x 105 N/mm2 and 1x 105 N/mm2 respectively. The value of coefficient of linear expansion for steel and copper is given as 11 x 10-6 per degree C and 18 x 10-6 per degree C respectively.
torque
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