Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steel
bolt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 mm.
The bronze [E = 100 GPa; a = 22.0 x 106/°C] sleeve has an outside diameter of 74 mm, a wall thickness
of 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickness
of t = 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the bolt,
washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no stress
has yet been induced. If the assembly is heated to T2 = 59°C, calculate the normal stress (positive if tensile
and negative if compressive) in the bronze sleeve. Answer in MPa rounded-off to 2 decimal places.
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Transcribed Image Text:A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steel bolt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 mm. The bronze [E = 100 GPa; a = 22.0 x 106/°C] sleeve has an outside diameter of 74 mm, a wall thickness of 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickness of t = 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the bolt, washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no stress has yet been induced. If the assembly is heated to T2 = 59°C, calculate the normal stress (positive if tensile and negative if compressive) in the bronze sleeve. Answer in MPa rounded-off to 2 decimal places.
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