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  3. a cylindrical bronze sleeve (2) is held in compres

A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a...

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Mechanical Engineering

A cylindrical bronze sleeve (2) is held in compression against arigid machine wall by a high-strength steel bolt (1), as shown inthe figure. The steel [E = 199 GPa; α = 11.7 ×10-6/°C] bolt has a diameter of 24 mm. The bronze[E = 110 GPa; α = 22.0 × 10-6/°C]sleeve has an outside diameter of 73 mm, a wall thickness of 9 mm,and a length of L = 550 mm. The end of the sleeve iscapped by a rigid washer with a thickness of t = 4 mm. Atan initial temperature of T1 = 14°C, the nut ishand-tightened on the bolt until the bolt, washers, and sleeve arejust snug, meaning that all slack has been removed from theassembly, but no stress has yet been induced. If the assembly isheated to T2 = 88°C, calculate

(a) the normal stress (positive if tensile and negative ifcompressive) in the bronze sleeve.
(b) the normal strain (positive if stretched and negative ifcompressed) in the bronze sleeve.

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