For the two element rod shown, element (1) is steel with: E₁ = 210 GPa, A₁ = 1000 mm², L₁= 2 m, and coefficient of thermal expansion, a₁ = 12X10-6/°C. Element (2) is a titanium alloy with E2 = 120 GPa, A2 = 1500 mm², L2=1.5 m, and coefficient of thermal expansion, a₂ = 8X10-6/°C. a) Determine the axial stress ₁ and ₂ in the two rods if the temperature in both is increased by 100°C. b) Determine the deflection of point B following the temperature increase. A (1) A₁, E₁, 0₁ L₁ B UB A2, E2, 02 -4₂-

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter11: Fracture And Fatigue
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Problem 11.7P
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For the two element rod shown, element (1) is steel with: E₁ = 210 GPa, A₁ = 1000 mm², L₁= 2 m, and coefficient of
thermal expansion, a₁ = 12X106/°C. Element (2) is a titanium alloy with E2 = 120 GPa, A2 = 1500 mm², L2 = 1.5 m,
and coefficient of thermal expansion, a₂ = 8X10-6/°C.
a) Determine the axial stress ₁ and ₂ in the two rods if
the temperature in both is increased by 100°C.
b) Determine the deflection of point B following the
temperature increase.
A₁, E₁, 0₁
L₁
B
UB
A2, E2, 02
-L₂
Transcribed Image Text:For the two element rod shown, element (1) is steel with: E₁ = 210 GPa, A₁ = 1000 mm², L₁= 2 m, and coefficient of thermal expansion, a₁ = 12X106/°C. Element (2) is a titanium alloy with E2 = 120 GPa, A2 = 1500 mm², L2 = 1.5 m, and coefficient of thermal expansion, a₂ = 8X10-6/°C. a) Determine the axial stress ₁ and ₂ in the two rods if the temperature in both is increased by 100°C. b) Determine the deflection of point B following the temperature increase. A₁, E₁, 0₁ L₁ B UB A2, E2, 02 -L₂
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