The assembly shown consists of an aluminum shell (E₂ = 70 GPa, a₂ = 23.6 x 10-6/°C) fully bonded to a steel core (Es = 200 GPa, as = 11.7 x 10-6/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 210°C. Aluminum shell 200 mm 50 mm The stress in the aluminum is 20 mm Steel core MPa.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.4P
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The assembly shown consists of an aluminum shell (E₂ = 70 GPa, a₂ = 23.6 x 10-6/C) fully bonded to a steel core (E = 200 GPa, as = 11.7 x
10-6/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the
aluminum when the temperature reaches 210°C.
Aluminum shell
200 mm
50 mm
The stress in the aluminum is -
20 mm
Steel
core
MPa.
Transcribed Image Text:The assembly shown consists of an aluminum shell (E₂ = 70 GPa, a₂ = 23.6 x 10-6/C) fully bonded to a steel core (E = 200 GPa, as = 11.7 x 10-6/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 210°C. Aluminum shell 200 mm 50 mm The stress in the aluminum is - 20 mm Steel core MPa.
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