A steel bar is placed between two copper bars, each having the same area and length as steel bar at 20℃. A this stage, they are rigidly connected together at both the ends. When the temperature is raised to 320℃, the length of the bars increases by 1.5mm. Determine the original length and final stresses in the bars. Steel: Coefficient of expansion = 0.000012/℃; Es = 215 GN/m^2 Copper: Coefficient of expansion = 0.0000175/℃; Ec = 100 GN/m^2

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter14: Material Selection
Section: Chapter Questions
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A steel bar is placed between two copper bars, each having the same area and length as steel bar at 20℃. A this stage, they are rigidly connected together at both the ends. When the temperature is raised to 320℃, the length of the bars increases by 1.5mm. Determine the original length and final stresses in the bars. Steel: Coefficient of expansion = 0.000012/℃; Es = 215 GN/m^2 Copper: Coefficient of expansion = 0.0000175/℃; Ec = 100 GN/m^2
Copper
Steel
Copper
α (2₂-1₁) 1
·a, (t₂-₁)/
8=1.5 mm
Transcribed Image Text:Copper Steel Copper α (2₂-1₁) 1 ·a, (t₂-₁)/ 8=1.5 mm
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