A steel [E = 30,900 ksi; a = 6.2 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁1 = 5.00 in.² is connected at flange B to an aluminum alloy [E = 10,300 ksi; a = 13.1 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.40 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 99°F. Assume L₁ = 137 in., L₂= 156 in., P = 31 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 -13°F.
A steel [E = 30,900 ksi; a = 6.2 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁1 = 5.00 in.² is connected at flange B to an aluminum alloy [E = 10,300 ksi; a = 13.1 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.40 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 99°F. Assume L₁ = 137 in., L₂= 156 in., P = 31 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 -13°F.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A steel [E = 30,900 ksi; a = 6.2 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁1 = 5.00 in.² is connected at flange B to an
aluminum alloy [E = 10,300 ksi; a = 13.1 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.40 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 99°F. Assume L₁ = 137 in., L₂= 156 in., P =
31 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 -13°F.
A
Answers:
(a) T=
(b) σ₁ =
0₂ =
(1)
L₁
i
i
i
B
P
L2
(2)
°F
ksi
ksi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa2404b3-21a3-40a9-8419-9434214e90b4%2F379f7df7-5dd6-4ba7-86ad-6ab6ebe491a8%2Fz4r2up_processed.png&w=3840&q=75)
Transcribed Image Text:A steel [E = 30,900 ksi; a = 6.2 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁1 = 5.00 in.² is connected at flange B to an
aluminum alloy [E = 10,300 ksi; a = 13.1 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.40 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 99°F. Assume L₁ = 137 in., L₂= 156 in., P =
31 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 -13°F.
A
Answers:
(a) T=
(b) σ₁ =
0₂ =
(1)
L₁
i
i
i
B
P
L2
(2)
°F
ksi
ksi
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