At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E- 10,000 ksi; v=0.32; a = 12.5 x 106/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E - 28,000 ksi; v- 0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and Care rigid. Assume h₁-2.8 in., h₂=1.6 in., L₁-26 in., L2=40 in., and 4 = 0.02 in. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 225°F. (c) the normal strain in the two bars at 225°F. (d) the change in width of the aluminum bar at a temperature of 225°F. (1) B L₁ L₂ Determine the lowest temperature, Tcontact, at which the two bars contact each other. Answer: Tcontact i °F
At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E- 10,000 ksi; v=0.32; a = 12.5 x 106/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E - 28,000 ksi; v- 0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and Care rigid. Assume h₁-2.8 in., h₂=1.6 in., L₁-26 in., L2=40 in., and 4 = 0.02 in. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 225°F. (c) the normal strain in the two bars at 225°F. (d) the change in width of the aluminum bar at a temperature of 225°F. (1) B L₁ L₂ Determine the lowest temperature, Tcontact, at which the two bars contact each other. Answer: Tcontact i °F
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and C are rigid. Assume h1=2.8 in., h2=1.6 in., L1=26 in., L2=40 in., and Δ=Δ= 0.02 in. Determine
(a) the lowest temperature at which the two bars contact each other.
(b) the normal stress in the two bars at a temperature of 225°F.
(c) the normal strain in the two bars at 225°F.
(d) the change in width of the aluminum bar at a temperature of 225°F.
![At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E- 10,000
ksi; v=0.32; a = 12.5 x 106/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E - 28,000 ksi; v-
0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and Care rigid. Assume h₁-2.8 in.,
h₂=1.6 in., L₁-26 in., L2=40 in., and 4 = 0.02 in. Determine
(a) the lowest temperature at which the two bars contact each other.
(b) the normal stress in the two bars at a temperature of 225°F.
(c) the normal strain in the two bars at 225°F.
(d) the change in width of the aluminum bar at a temperature of 225°F.
(1)
B
L₁
L₂
Determine the lowest temperature, Tcontact, at which the two bars contact each other.
Answer: Tcontact i
°F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed294bf4-31bb-4a09-9ceb-c61e01e43aae%2Faecac293-3758-4731-b4b5-92444c7578c9%2F9pccftn_processed.png&w=3840&q=75)
Transcribed Image Text:At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E- 10,000
ksi; v=0.32; a = 12.5 x 106/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E - 28,000 ksi; v-
0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and Care rigid. Assume h₁-2.8 in.,
h₂=1.6 in., L₁-26 in., L2=40 in., and 4 = 0.02 in. Determine
(a) the lowest temperature at which the two bars contact each other.
(b) the normal stress in the two bars at a temperature of 225°F.
(c) the normal strain in the two bars at 225°F.
(d) the change in width of the aluminum bar at a temperature of 225°F.
(1)
B
L₁
L₂
Determine the lowest temperature, Tcontact, at which the two bars contact each other.
Answer: Tcontact i
°F
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