4.20. A copper tube 55 mm in outside diameter and of wall thickness 5 mm fits loosely over a solid steel circular bar 40 mm in diameter. The two members are fastened together by two metal pins each 8 mm in diameter and passing transversely through both members, one pin being near each end of the assembly. At room temperature the assembly is stress free when the pins are in position. The temperature of the entire assembly is then raised 40°C. Calculate the average shear stress in the pins. For copper E = 90 GPa, a = 18×10 °C; for steel E200 GPa, a 12 x 10 *°C. Ans. 132 MPa

Structural Analysis
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Chapter2: Loads On Structures
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4.20. A copper tube 55 mm in outside diameter and of wall thickness 5 mm fits loosely over a solid steel circular
bar 40 mm in diameter. The two members are fastened together by two metal pins each 8 mm in diameter
and passing transversely through both members, one pin being near each end of the assembly. At room
temperature the assembly is stress free when the pins are in position. The temperature of the entire
assembly is then raised 40°C. Calculate the average shear stress in the pins. For copper E = 90 GPa,
a = 18×10 °C; for steel E200 GPa, a 12 x 10 *°C. Ans. 132 MPa
Transcribed Image Text:4.20. A copper tube 55 mm in outside diameter and of wall thickness 5 mm fits loosely over a solid steel circular bar 40 mm in diameter. The two members are fastened together by two metal pins each 8 mm in diameter and passing transversely through both members, one pin being near each end of the assembly. At room temperature the assembly is stress free when the pins are in position. The temperature of the entire assembly is then raised 40°C. Calculate the average shear stress in the pins. For copper E = 90 GPa, a = 18×10 °C; for steel E200 GPa, a 12 x 10 *°C. Ans. 132 MPa
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