The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, α= 10.5 × 10−6/°F] rod (1) and a solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15, α= 7.6 × 10–6/°F] rod (2). Assume L1=11 in., L2=22 in. If the supports at A and C are rigid and the assembly is stress free at 16°F, determine: (a) the normal stresses σ1, σ2 in both rods at 213°F (positive if tensile, negative if compressive). (b) the displacement uB of flange B (positive if to the right, negative to the left). (c) the change in diameter Δd1 of the aluminum rod.
The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, α= 10.5 × 10−6/°F] rod (1) and a solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15, α= 7.6 × 10–6/°F] rod (2). Assume L1=11 in., L2=22 in. If the supports at A and C are rigid and the assembly is stress free at 16°F, determine: (a) the normal stresses σ1, σ2 in both rods at 213°F (positive if tensile, negative if compressive). (b) the displacement uB of flange B (positive if to the right, negative to the left). (c) the change in diameter Δd1 of the aluminum rod.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, α= 10.5 × 10−6/°F] rod (1) and a solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15, α= 7.6 × 10–6/°F] rod (2). Assume L1=11 in., L2=22 in. If the supports at A and C are rigid and the assembly is stress free at 16°F, determine:
(a) the normal stresses σ1, σ2 in both rods at 213°F (positive if tensile, negative if compressive).
(b) the displacement uB of flange B (positive if to the right, negative to the left).
(c) the change in diameter Δd1 of the aluminum rod.
![The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, a = 10.5 x 106/0oF] rod (1) and a
solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15. a = 7.6 × 10 6/°F] rod (2). Assume L;=11 in. L2=22 in. If the supports at A and
Care rigid and the assembly is stress free at 16°F, determine:
(a) the normal stresses o1.02 in both rods at 213°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 Ad, of the aluminum rod.
%3D
(1)
(2)
L1
L2
Answers:
(a) o1
ksi, 62 =
ksi
(b) ug =
in.
(c) Ad
in.
eTextbook and Media](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04552157-30d3-4625-afb6-ed096f089aa0%2F5904108c-dee1-4ccc-92a7-4af0ea071b5b%2F24t30ys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, a = 10.5 x 106/0oF] rod (1) and a
solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15. a = 7.6 × 10 6/°F] rod (2). Assume L;=11 in. L2=22 in. If the supports at A and
Care rigid and the assembly is stress free at 16°F, determine:
(a) the normal stresses o1.02 in both rods at 213°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 Ad, of the aluminum rod.
%3D
(1)
(2)
L1
L2
Answers:
(a) o1
ksi, 62 =
ksi
(b) ug =
in.
(c) Ad
in.
eTextbook and Media
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