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A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is tightened until it is just snug. The bolt has a diameter dB = 25 mm, and the sleeve has inside and outside diameters d1 = 26 mm and d2 = 36 mm, respectively.
Calculate the temperature rise ΔT that is required to produce a compressive stress of 25 MPa in the sleeve. (Use material properties as follows: for the sleeve, αS = 21 × 106 / °C and ES = 100 GPa; for the bolt, αB = 10 × 106 / °C and EB = 200 GPa.) (Suggestion: Use the results of Example 2-8.)
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