A brass sleeve is fitted over a steel bolt and the nut is tightened until it is just snug. The bolt has a diameter of dB = 25 mm. The sleeve has inside diameter d₁ = 26 mm and outside diameter d₂ = 36 mm. The assembly experiences a temperature increase of 25°C. Determine the stress in the bolt and the sleeve after the temperature change. asteel = 10 x 10-6°C abrass= 21 x 10-6/°C Esteel = 200 GPa Ebrass = 100 GPa dB Sleeve (S) Bolt (B)

Structural Analysis
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Chapter2: Loads On Structures
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Problem 5.1
A brass sleeve is fitted over a steel bolt and the nut is tightened until it is just snug. The bolt has a diameter
of dB = 25 mm. The sleeve has inside diameter d₁ = 26 mm and outside diameter d₂ = 36 mm.
The assembly experiences a temperature increase of 25°C. Determine the stress in the bolt and the sleeve
after the temperature change.
asteel = 10 x 10-6°C
abrass= 21 x 10-6°C
Esteel = 200 GPa
Ebrass = 100 GPa
di
dB
Sleeve (S)
Bolt (B)
Transcribed Image Text:Problem 5.1 A brass sleeve is fitted over a steel bolt and the nut is tightened until it is just snug. The bolt has a diameter of dB = 25 mm. The sleeve has inside diameter d₁ = 26 mm and outside diameter d₂ = 36 mm. The assembly experiences a temperature increase of 25°C. Determine the stress in the bolt and the sleeve after the temperature change. asteel = 10 x 10-6°C abrass= 21 x 10-6°C Esteel = 200 GPa Ebrass = 100 GPa di dB Sleeve (S) Bolt (B)
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