A steel [E = 30,300 ksi; a = 6.7 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.70 in.² is connected at flange B to an aluminum alloy [E = 10,100 ksi; a = 12.7 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.30 in.2. The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. Assume L₁ = 126 in., L₂= 156 in., P = 34 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -11°F.

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
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A steel [E = 30,300 ksi; a = 6.7 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.70 in.² is connected at flange B to an
aluminum alloy [E = 10,100 ksi; a = 12.7 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.30 in.². The assembly (shown in the
figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. Assume L₁ = 126 in., L₂ = 156 in., P =
34 kips.
(a) At what temperature will the normal stress in steel pipe (1) be reduced to zero?
(b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the
temperature reaches -11°F.
A
Answers:
(a) T=
(b) σ₁ =
0₂ =
L₁
tel
i
L2
°F
ksi
ksi
Transcribed Image Text:A steel [E = 30,300 ksi; a = 6.7 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.70 in.² is connected at flange B to an aluminum alloy [E = 10,100 ksi; a = 12.7 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.30 in.². The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. Assume L₁ = 126 in., L₂ = 156 in., P = 34 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -11°F. A Answers: (a) T= (b) σ₁ = 0₂ = L₁ tel i L2 °F ksi ksi
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