The axial assembly consists of a solid 1.03-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.24, a = 13.3 × 10-6/°F] rod (1) and a solid 1.45-in.-diameter bronze [E = 14100 ksi, v=0.12, a = 8.5 x 10-6/°F] rod (2). Assume L₁=12 in., L₂=28 in. If the supports at A and C are rigid and the assembly is stress free at 19°F, determine: (a) the normal stresses 0₁, 02 in both rods at 144°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad₁ of the aluminum rod. Answers: L₁ (a) σ₁ = (b) UB= -0.0075 (c) Ad₁ B i 22.18858857 = i .0017 in. L2 ksi, 02 in. = i с 11.2 ksi
The axial assembly consists of a solid 1.03-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.24, a = 13.3 × 10-6/°F] rod (1) and a solid 1.45-in.-diameter bronze [E = 14100 ksi, v=0.12, a = 8.5 x 10-6/°F] rod (2). Assume L₁=12 in., L₂=28 in. If the supports at A and C are rigid and the assembly is stress free at 19°F, determine: (a) the normal stresses 0₁, 02 in both rods at 144°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad₁ of the aluminum rod. Answers: L₁ (a) σ₁ = (b) UB= -0.0075 (c) Ad₁ B i 22.18858857 = i .0017 in. L2 ksi, 02 in. = i с 11.2 ksi
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please answer in proper units
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The axial assembly consists of a solid 1.03-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.24, a = 13.3 x 10-6/°F] rod
(1) and a solid 1.45-in.-diameter bronze [E = 14100 ksi, v = 0.12, a 8.5 x 10-6/°F] rod (2). Assume L₁=12 in., L₂=28 in.
If the supports at A and C are rigid and the assembly is stress free at 19°F, determine:
(a) the normal stresses 01, 02 in both rods at 144°F (positive if tensile, negative if compressive).
(b) the displacement ug of flange B (positive if to the right, negative to the left).
(c) the change in diameter Ad₁ of the aluminum rod.
Answers:
(a) 01
(b) UB=
(c) Ad₁
L₁
i 22.18858857
-0.0075
B
= i .0017
in.
L2
ksi, 02
in.
||
i
C
11.2
ksi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2ffe82c-0698-48da-8c5c-8e58e9f78a09%2F44129568-a11d-4cea-bdac-69b17d7a0788%2F046hfsy_processed.png&w=3840&q=75)
Transcribed Image Text:=
The axial assembly consists of a solid 1.03-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.24, a = 13.3 x 10-6/°F] rod
(1) and a solid 1.45-in.-diameter bronze [E = 14100 ksi, v = 0.12, a 8.5 x 10-6/°F] rod (2). Assume L₁=12 in., L₂=28 in.
If the supports at A and C are rigid and the assembly is stress free at 19°F, determine:
(a) the normal stresses 01, 02 in both rods at 144°F (positive if tensile, negative if compressive).
(b) the displacement ug of flange B (positive if to the right, negative to the left).
(c) the change in diameter Ad₁ of the aluminum rod.
Answers:
(a) 01
(b) UB=
(c) Ad₁
L₁
i 22.18858857
-0.0075
B
= i .0017
in.
L2
ksi, 02
in.
||
i
C
11.2
ksi
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