A copper [E = 98 GPa, a = 17.4x10-6/°C] rod (2) is placed within a steel [E = 196 GPa, a = 11.2x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 100 mm, its inside diameter is d₁ = 79 mm, and its cross-sectional area is A₁ = 2953 mm2. The diameter of the solid copper rod is d₂ = 50 mm, and its cross-sectional area is A₂ = 1964 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 60°C.

A copper [E = 98 GPa, a = 17.4x10-6/°C] rod (2) is placed within a steel [E = 196 GPa, a = 11.2x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 100 mm, its inside diameter is d₁ = 79 mm, and its cross-sectional area is A₁ = 2953 mm2. The diameter of the solid copper rod is d₂ = 50 mm, and its cross-sectional area is A₂ = 1964 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 60°C.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter1: Introduction

Section: Chapter Questions

Problem 13ETSQ

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