Answer to Question #306368 in Mechanical Engineering for Fareed Askul

Question

A bronze tube, 60mm external diameter and 50mm bore, fits closely inside a steel tube of external diameter 100mm. When the assembly was at a uniform temperature of 15°C the bronze tube is a sliding fit inside the steel tube, that is the two tubes are free from stresses. The assembly is now heated to a uniform temperature of 115°C.

(a) Calculate the radial pressure induced between the mating surfaces and the thermal circumferential stresses, in magnitude and nature, induced at the inside and outside surfaces of each tube.

(b) Sketch the radial and circumferential stress distribution across the combined wall thickness of the assembly when the temperature is 115°C and insert the numerical values. [ E for steel = 200 GN/m² E for Bronze = 100 GN/m², poisson's ratio for steel = 0.3 poisson's for Bronze = 0.33, coefficient of linear expansion for steel = 12×10-⁶/°C and coefficient of linear expansion for Bronze = 19×10-⁶/°C]

Answer 1

Answer is given below