assembly consists of a brass shell (1) fully bonded to a ceramic core (2). The brass shell [E = 86 GPa, α= 18 × 10−6/°C] has an outside diameter of 33 mm and an inside diameter of 27 mm. The ceramic core [E = 320 GPa, α= 2.5 × 10−6/°C] has a diameter of 27 mm. At a temperature of 15°C, the assembly is unstressed. Assume L = 320 mm. Determine the largest temperature increase Δ⁢t that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 65 MPa.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter12: Electric Current And Related Variables In Engineering
Section12.2: Electrical Circuits And Components
Problem 6BYG
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The assembly consists of a brass shell (1) fully bonded to a ceramic core (2). The brass shell [E = 86 GPa, α= 18 × 10−6/°C] has an outside diameter of 33 mm and an inside diameter of 27 mm. The ceramic core [E = 320 GPa, α= 2.5 × 10−6/°C] has a diameter of 27 mm. At a temperature of 15°C, the assembly is unstressed. Assume = 320 mm. Determine the largest temperature increase Δ⁢t that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 65 MPa.

L
|(2) Ceramic core
Brass shell (1)
Answer: At =
i
°C.
Transcribed Image Text:L |(2) Ceramic core Brass shell (1) Answer: At = i °C.
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