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319_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 319_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.8 Statically Indeterminate Torsional Members 313 Solution 3.8-13 Composite shaft shrink fit d 1 1.6 in. d 2 2.0 in. G B 5,400 psi G S 12,000 psi Allowable stresses: B 4500 psi S 7500 psi B RASS CORE ( ONLY ) T ORQUES Total torque: T T B T S T T B T S (CHECK) A LLOWABLE TORQUE T BASED UPON BRASS CORE Substitute numerical values: T 15.21 k-in. A LLOWABLE TORQUE T BASED UPON STEEL SLEEVE Substitute numerical values: T 9.13 k-in. S TEEL SLEEVE GOVERNS T max 9.13 k-in. ; t S 0.762082 T 2(7500 psi)(0.927398 in. 4 ) 2.0 in. t S T S ( d 2 /2) I PS T S 2 t S I PS d 2 2(4500 psi)(0.643398 in. 4 ) 1.6 in. T B 0.237918 T t B T B ( d 1 /2) I PB T B 2 t B I PB d 1 0.762082 T Eq. (3-44 b): T S T a G S I PS G B I PB + G S I PS b 0.237918 T Eq. (3-44 a): T B T a G

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319_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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