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°C. For steel, Young's modulus is 200 GN/m², and the coefficient of linear thermal expansion is 11.7×10–0 1/°C. For brass, Young's modulus is 93.33 GN/m², and the coefficient of linear thermal expansion is 1.872 × 10–8 1/°C. What is the stress in the steel tube when the temperature is raised to 121°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°C. For steel, Young's modulus is 200 GN/m², and the coefficient of linear thermal expansion is 11.7×10–0 1/°C. For brass, Young's modulus is 93.33 GN/m², and the coefficient of linear thermal expansion is 1.872 × 10–8 1/°C. What is the stress in the steel tube when the temperature is raised to 121°C?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

6 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°C. For steel, Young's modulus is 200
GN/m², and the coefficient of linear thermal expansion
is 11.7x10-6 1/°C. For brass, Young's modulus is 93.33
GN/m², and the coefficient of linear thermal expansion
is 1.872 x 10-5 1/°C. What is the stress in the steel
tube when the temperature is raised to 121°C?
brass rod (solid)
37.5 mm diameter
steel tube
50 mm outside diameter
43.75 mm inside diameter

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