A copper [E = 96 GPa, a = 17.5x10-6/°C] rod (2) is placed within a steel [E = 192 GPa, a = 11.5x10- 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 = 92 mm, its inside diameter is d₁ = 77 mm, and its cross- sectional area is A₁ = 1991 mm². The diameter of the solid copper rod is d₂ = 55 mm, and its cross- sectional area is A₂ = 2376 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 48°C. Pin Steel Tube (1) Pin Copper Rod (2)

A copper [E = 96 GPa, a = 17.5x10-6/°C] rod (2) is placed within a steel [E = 192 GPa, a = 11.5x10- 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 = 92 mm, its inside diameter is d₁ = 77 mm, and its cross- sectional area is A₁ = 1991 mm². The diameter of the solid copper rod is d₂ = 55 mm, and its cross- sectional area is A₂ = 2376 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 48°C. Pin Steel Tube (1) Pin Copper Rod (2)

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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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

A copper [E = 96 GPa, a = 17.5x10-6/°C] rod (2) is
placed within a steel [E = 192 GPa, a = 11.5×10-
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 = 92 mm,
its inside diameter is d₁ = 77 mm, and its cross-
sectional area is A₁ = 1991 mm². The diameter of
the solid copper rod is d₂ = 55 mm, and its cross-
sectional area is A2 = 2376 mm².
Calculate the normal stress in the copper rod if the
temperature of the entire assembly is raised by
48°C.
Pin
Steel Tube (1)
Pin
Copper
Rod (2)

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