A steel pipe with a 50 mm outside diameter and a 43.75 mm inside diameter surrounds a solid brass rod 37.5 mm in diameter as shown. Both materials are joined to a rigid cover plate at each end. The assembly is free to expand longitudinally. The assembly is stress free at a temperature of 27 degree C. For steel, Young's modulus is 200 GN/m^2, and the coefficient of linear thermal expansion is 11.7 x 10^-6 1/degree C. For brass, Young's modulus is 93.33 GN/m^2, and the coefficient of linear thermal expansion is 1.872 x 10^-5 1/degree C. What is the stress in the steel tube when the temperature is raised to 121 degree C?
A steel pipe with a 50 mm outside diameter and a 43.75 mm inside diameter surrounds a solid brass rod 37.5 mm in diameter as shown. Both materials are joined to a rigid cover plate at each end. The assembly is free to expand longitudinally. The assembly is stress free at a temperature of 27 degree C. For steel, Young's modulus is 200 GN/m^2, and the coefficient of linear thermal expansion is 11.7 x 10^-6 1/degree C. For brass, Young's modulus is 93.33 GN/m^2, and the coefficient of linear thermal expansion is 1.872 x 10^-5 1/degree C. What is the stress in the steel tube when the temperature is raised to 121 degree C?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A steel pipe with a 50 mm outside diameter and a 43.75 mm inside diameter surrounds a solid brass rod 37.5 mm in diameter as shown. Both materials are joined to a rigid cover plate at each end. The assembly is free to expand longitudinally. The assembly is stress free at a temperature of 27 degree C. For steel, Young's modulus is 200 GN/m^2, and the coefficient of linear thermal expansion is 11.7 x 10^-6 1/degree C. For brass, Young's modulus is 93.33 GN/m^2, and the coefficient of linear thermal expansion is 1.872 x 10^-5 1/degree C. What is the stress in the steel tube when the temperature is raised to 121 degree C?
Transcribed Image Text:brass rod (solid)
37.5 mm diameter
steel tube
50 mm outside diameter
43.75 mm inside diameter
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