Figure 1 shows a system of three bars each made of different materials, and connected together and the temperature is initially kept at 12°C. Thereafter, the temperature of the system was raised to 50°C. Steel Brass Copper Eg = 200 GPa Epr = 100 GPa Ecu 120 GPa %3D a = 12(10-6)/°C apr = 21(10-6)/°C acu = 17(10-")/°C ast = Acu = 515 mm? 450 mm2 Ast 200 mm² Apr 300 mm- -200 mm 100 mm Figure 1: An assembly of three bars

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.4P
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Figure 1 shows a system of three bars each made of different materials, and connected
together and the temperature is initially kept at 12°C. Thereafter, the temperature of the
system was raised to 50°C.
Steel
Brass
Сopper
Es = 200 GPa
as = 12(10-0)/°C apr = =
Epr = 100 GPa
21(10-6)/°C acu
= 120 GPa
Ecu
Ebr
%3D
%3D
17(10-6)/°C
%3D
Ast
abr
Acu = 515 mm²
= 450 mm²
%3D
Ag 200 mm² Apr
st
300mm
200 mm
100mm
Figure 1: An assembly of three bars
1.1.
Determine the thermal stress raising in each bar if the assembly is placed
between two rigid walls.
1.2.
Determine the force exerted on the right rigid support if an allowance of
0.05 mm is provided between the left end of the steel bar and the left wall.
Transcribed Image Text:Figure 1 shows a system of three bars each made of different materials, and connected together and the temperature is initially kept at 12°C. Thereafter, the temperature of the system was raised to 50°C. Steel Brass Сopper Es = 200 GPa as = 12(10-0)/°C apr = = Epr = 100 GPa 21(10-6)/°C acu = 120 GPa Ecu Ebr %3D %3D 17(10-6)/°C %3D Ast abr Acu = 515 mm² = 450 mm² %3D Ag 200 mm² Apr st 300mm 200 mm 100mm Figure 1: An assembly of three bars 1.1. Determine the thermal stress raising in each bar if the assembly is placed between two rigid walls. 1.2. Determine the force exerted on the right rigid support if an allowance of 0.05 mm is provided between the left end of the steel bar and the left wall.
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