A steel [E = 30,300 ksi; a = 6.5 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 6.00 in.² is connected at flange B to an aluminum alloy [E = 10,500 ksi; a = 12.5 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 96°F. Assume L₁ = 119 in., L₂ = 147 in., P = 25 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 -12°F. A Answers: (a) T= (b) σ₁ = 0₂ = L₁ IM IM i B P L2 °F ksi ksi

Structural Analysis
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Chapter2: Loads On Structures
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A steel [E = 30,300 ksi; a = 6.5 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 6.00 in.² is connected at flange B to an
aluminum alloy [E = 10,500 ksi; a = 12.5 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 96°F. Assume L₁ = 119 in., L₂= 147 in., P =
25 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 -12°F.
A
Answers:
(a) T=
(b) 0₁ =
0₂ =
L₁
i
i
B
L2
(2)
°F
ksi
ksi
C
Transcribed Image Text:A steel [E = 30,300 ksi; a = 6.5 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 6.00 in.² is connected at flange B to an aluminum alloy [E = 10,500 ksi; a = 12.5 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 96°F. Assume L₁ = 119 in., L₂= 147 in., P = 25 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 -12°F. A Answers: (a) T= (b) 0₁ = 0₂ = L₁ i i B L2 (2) °F ksi ksi C
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