A steel [E-30,100 ksi; a = 6.6 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁-5.10 in ² is connected at flange B to an aluminum alloy [E-10,900 ksi; a = 12.6 x 10-6/°F] pipe (2) with a cross-sectional area of A2-3.70 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 93°F. Assume L₁ - 104 in., L₂-132 in., P- 35 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 -10°F. Answers: (a) T- (b) 0₁ = 0₂= L₁ i i i L2 °F ksi ksi

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A steel [E = 30,100 ksi; a = 6.6 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ - 5.10 in.² is connected at flange B to an
aluminum alloy [E - 10,900 ksi; a = 12.6 x 106/°F] pipe (2) with a cross-sectional area of Az -3.70 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 93°F. Assume L₁ - 104 in., L₂-132 in., P-
35 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 -10°F.
A
Answers:
(a) T-
(b) G₁ =
0₂ =
L₁
i
i
i
B
P
L2
°F
ksi
ksi
Transcribed Image Text:A steel [E = 30,100 ksi; a = 6.6 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ - 5.10 in.² is connected at flange B to an aluminum alloy [E - 10,900 ksi; a = 12.6 x 106/°F] pipe (2) with a cross-sectional area of Az -3.70 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 93°F. Assume L₁ - 104 in., L₂-132 in., P- 35 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 -10°F. A Answers: (a) T- (b) G₁ = 0₂ = L₁ i i i B P L2 °F ksi ksi
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