The assembly consists of a brass shell (1) fully bonded to a solid ceramic core (2). The brass shell [E = 115 GPa, a = 18.7 × 10-6/°C] has dout = 50mm. and din = 35mm. The ceramic core [E = 290 GPa, a = 3.1 × 10-6/°C] has a diameter dout = 35mm. At a temperature of 15°C, the assembly is unstressed. AT = 60°C. Find the internal stress in the brass.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter5: Phase Transformations And Phase Diagrams
Section: Chapter Questions
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The assembly consists of a brass shell (1) fully bonded to a solid ceramic core (2).
The brass shell [E = 115 GPa, a = 18.7 × 10-6/°C] has dout 50mm. and din
= 35mm.
The ceramic core [E = 290 GPa, α = 3.1 x 10-6/°C] has a diameter dout = 35mm.
At a temperature of 15°C, the assembly is unstressed. AT = 60°C.
Find the internal stress in the brass.
=
200 mm
Brass shell (1)
(2) Ceramic core
Transcribed Image Text:The assembly consists of a brass shell (1) fully bonded to a solid ceramic core (2). The brass shell [E = 115 GPa, a = 18.7 × 10-6/°C] has dout 50mm. and din = 35mm. The ceramic core [E = 290 GPa, α = 3.1 x 10-6/°C] has a diameter dout = 35mm. At a temperature of 15°C, the assembly is unstressed. AT = 60°C. Find the internal stress in the brass. = 200 mm Brass shell (1) (2) Ceramic core
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