The central rod CD of the set below is heated from T1 = 30ºC to T2 = 180ºC by an electrical resistance. At the lowest temperature, the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel and each have a cross-sectional area of 125 mm2. CD is made of aluminum and has a cross-sectional area of 375 mm2. Use EFe = 200 GPA, EAl = 70 GPA, αFe = 12 x 10-6 /°C, and αAl = 24 x 10-6 /°C.
The central rod CD of the set below is heated from T1 = 30ºC to T2 = 180ºC by an electrical resistance. At the lowest temperature, the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel and each have a cross-sectional area of 125 mm2. CD is made of aluminum and has a cross-sectional area of 375 mm2. Use EFe = 200 GPA, EAl = 70 GPA, αFe = 12 x 10-6 /°C, and αAl = 24 x 10-6 /°C.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The central rod CD of the set below is heated from T1 = 30ºC to T2 = 180ºC by an electrical resistance. At the lowest temperature, the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel and each have a cross-sectional area of 125 mm2. CD is made of aluminum and has a cross-sectional area of 375 mm2. Use EFe = 200 GPA, EAl = 70 GPA, αFe = 12 x 10-6 /°C, and αAl = 24 x 10-6 /°C.
answer: 5.4 kN
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