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 Δt that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 65 MPa.
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 Δt that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 65 MPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 L = 320 mm. Determine the largest temperature increase Δt that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 65 MPa.
Transcribed Image Text:L
|(2) Ceramic core
Brass shell (1)
Answer: At =
i
°C.
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