A steel [E = 29,200 ksi; a = 6.0 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 5.40 in.² is connected at flange B to an aluminum alloy [E = 10,200 ksi; a = 12.9 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 3.50 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 80°F. Assume L₁=117 in., L₂= 139 in., P = 36 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 -14°F. Answers: (a) T= (b) 0₁ = 0₂ = L₁ p i P L2 °F ksi ksi

A steel [E = 29,200 ksi; a = 6.0 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 5.40 in.² is connected at flange B to an aluminum alloy [E = 10,200 ksi; a = 12.9 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 3.50 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 80°F. Assume L₁=117 in., L₂= 139 in., P = 36 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 -14°F. Answers: (a) T= (b) 0₁ = 0₂ = L₁ p i P L2 °F ksi ksi

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

A steel [E = 29,200 ksi; a = 6.0 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.40 in.² is connected at flange B to an
aluminum alloy [E = 10,200 ksi; a = 12.9 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 3.50 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 80°F. Assume L₁ = 117 in., L₂= 139 in., P =
36 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 -14°F.
Answers:
(a) T=
(b) σ₁ =
0₂ =
(1)
L₁
i
i
B
P
L2
(2)
°F
ksi
ksi

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