A copper [E = 102 GPa, a = 17.1x10°°°C] rod (2) is placed within a steel [E = 204 GPa, a = 11.6×10 7°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 88 mm, its inside diameter is d₁ = 63 mm, and its cross-sectional area is A₁ = 2965 mm². The diameter of the solid copper rod is d₂ = 45 mm, and its cross-sectional area is A2 = 1591 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C. Steel Tube (1) Copper
A copper [E = 102 GPa, a = 17.1x10°°°C] rod (2) is placed within a steel [E = 204 GPa, a = 11.6×10 7°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 88 mm, its inside diameter is d₁ = 63 mm, and its cross-sectional area is A₁ = 2965 mm². The diameter of the solid copper rod is d₂ = 45 mm, and its cross-sectional area is A2 = 1591 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C. Steel Tube (1) Copper
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.4P
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![A copper [E = 102 GPa, a = 17.1x10-6/°C] rod (2) is placed within a steel [E = 204 GPa, a = 11.6x10-6/°C] tube (1) of the same length.
The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel
tube is D₁ = 88 mm, its inside diameter is d₁ = 63 mm, and its cross-sectional area is A₁ = 2965 mm². The diameter of the solid copper
rod is d₂ = 45 mm, and its cross-sectional area is A₂ = 1591 mm².
Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C.
Pin
Answer:
02= i
Steel Tube (1)
Pin
MPa
Copper
Rod (2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d8394a4-a5e8-4f69-ae46-78b7512215a1%2Fa6204ca3-873e-4138-8a4b-9fda3c5161a2%2Fjy1sxq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A copper [E = 102 GPa, a = 17.1x10-6/°C] rod (2) is placed within a steel [E = 204 GPa, a = 11.6x10-6/°C] tube (1) of the same length.
The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel
tube is D₁ = 88 mm, its inside diameter is d₁ = 63 mm, and its cross-sectional area is A₁ = 2965 mm². The diameter of the solid copper
rod is d₂ = 45 mm, and its cross-sectional area is A₂ = 1591 mm².
Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C.
Pin
Answer:
02= i
Steel Tube (1)
Pin
MPa
Copper
Rod (2)
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