4-77. Three bars, each made of different materials, are connected together and placed between two walls when the temperature is T₁ = 12°C. Determine the force exerted on the (rigid) supports when the temperature becomes T₂ = 18°C. The material properties and cross-sectional area of each bar are given in the figure. Steel Est = 200 GPa ast = 12(10-6)/°C Ast Brass Ebr 100 GPa abr = 21(10-6)/°C = 200 mm² Abr = 450 mm² -300 mm- -200 mm Prob. 4-77 Copper Ecu = 120 GPa αcu = 17(10-6)/°C Acu = 515 mm² 100 mm
4-77. Three bars, each made of different materials, are connected together and placed between two walls when the temperature is T₁ = 12°C. Determine the force exerted on the (rigid) supports when the temperature becomes T₂ = 18°C. The material properties and cross-sectional area of each bar are given in the figure. Steel Est = 200 GPa ast = 12(10-6)/°C Ast Brass Ebr 100 GPa abr = 21(10-6)/°C = 200 mm² Abr = 450 mm² -300 mm- -200 mm Prob. 4-77 Copper Ecu = 120 GPa αcu = 17(10-6)/°C Acu = 515 mm² 100 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:4-77. Three bars, each made of different materials, are
connected together and placed between two walls when
the temperature is T₁ = 12°C. Determine the force exerted
on the (rigid) supports when the temperature becomes
T₂ = 18°C. The material properties and cross-sectional area
of each bar are given in the figure.
Steel
Est = 200 GPa
ast = 12(10-)/°C
Ast
=
Brass
Ebr = 100 GPa
abr=
abr = 21(10-6)/°C
200 mm² Abr = 450 mm²
-300 mm-
-200 mm-
Prob. 4-77
Copper
Ecu = 120 GPa
αcu = 17(106)/°C
Acu = 515 mm²
100 mm
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