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 [E₁=200 GPa; -6 a=11.7 x100/C] bolt has a diameter of 29 mm. The bronze [E2=105 GPa; a=22 ×100/C] sleeve has an outside diameter of 76 mm, a wall thickness of 9 mm, and a length of L2=400 mm. The end of the sleeve is capped by a rigid washer with a thickness of t=3 mm. At an initial temperature of T₁=8°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 beer induced. The assembly is heated to T₂=90°C. t sleeve (2) Bolt (1) L Rigid wall

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Chapter2: Axially Loaded Members
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Problem 2.5.3P: A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of...
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What are the forces in the steel bolt (Fy) and bronze sleeve (F)?
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 [E1=200 GPa;
a=11.7x10-6/C] bolt has a diameter of 29 mm. The
bronze [E2=105 GPa; a=22 ×10-6/C] sleeve has an
outside diameter of 76 mm, a wall thickness of 9 mm,
and a length of L2=400 mm. The end of the sleeve is
capped by a rigid washer with a thickness of t=3 mm.
At an initial temperature of T₁=8°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. The assembly is heated to T2=90°C.
sleeve (2)
Bolt (1)
L
Rigid
wall
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 [E1=200 GPa; a=11.7x10-6/C] bolt has a diameter of 29 mm. The bronze [E2=105 GPa; a=22 ×10-6/C] sleeve has an outside diameter of 76 mm, a wall thickness of 9 mm, and a length of L2=400 mm. The end of the sleeve is capped by a rigid washer with a thickness of t=3 mm. At an initial temperature of T₁=8°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. The assembly is heated to T2=90°C. sleeve (2) Bolt (1) L Rigid wall
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