An assembly of a material consists of a brass shell fully bonded to a ceramic core. The brass shell has an outside diameter of 75mm and an inside diameter of 45mm same as the diameter of the ceramic core. At a temperature of 15°, the assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 70MPa. Brass E=115GPa a = 18.7x10-6/°C α = Ceramic E=290GPa 3.1x10-6/°C

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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An assembly of a material consists of a brass shell fully bonded to a ceramic core. The brass shell has an outside
diameter of 75mm and an inside diameter of 45mm same as the diameter of the ceramic core. At a temperature of 15°, the
assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in
the longitudinal direction of the brass shell must not exceed 70MPa.
Brass
E=115GPa
α = 18.7x10-6/°C
Ceramic
E=290GPa
a = 3.1x10-6/°C
Transcribed Image Text:An assembly of a material consists of a brass shell fully bonded to a ceramic core. The brass shell has an outside diameter of 75mm and an inside diameter of 45mm same as the diameter of the ceramic core. At a temperature of 15°, the assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 70MPa. Brass E=115GPa α = 18.7x10-6/°C Ceramic E=290GPa a = 3.1x10-6/°C
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