324_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

324_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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318 CHAPTER 3 Torsion (c) A LLOWABLE SHEAR IN TUBES RESTRICTS MAGNITUDE OF ± or or simplifying these two equ., then solving for gives: or or where lesser value of controls (d) A LLOWABLE BEARING STRESS IN PIN RESTRICTS MAGNITUDE OF Torque T B ² force couple F B ( d B ³ t B ) or F A ( d A ³ t A ), with F ² ave. bearing force on pin at C ; b max ² t t, allow a 2 L Gd B ba I PA + I PB I PA b ; b max ² t t, allow a 2 L Gd A ba I PA + I PB I PB b t max ² G b L a I PA I PA + I PB b d B 2 t max ² G b L a I PB I PA + I PB b d A 2 t max ² G b L a I PA I PB I PA ´ I PB b d B 2 I PB t max ² G b L a I PA I PB I PA ´ I PB b d A 2 I PA t max ² T B d B 2 I PB t max ² T B d A 2 I PA Bearing stresses from tubes A & B are: substitute T B expression from part (a), then simplify µ solve for b where lesser value controls c ( I PB + I PA )( d B ³ t B ) d P t B I PA I PB d ; b max ² s b, allow
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Unformatted text preview: L G c ( I PB + I PA )( d A t A ) d P t A I PA I PB d ; b max s b, allow L G s bB b G L I PA I PB ( I PB + I PA )( d B t B )d P t B s bA b GI PA I PB L ( I PB + I PA )( d A t A ) d P t A s bB G b L a I PA I PB I PA + I PB b d B t B d P t B s bA G b L a I PA I PB I PA + I PB b d A t A d P t A s bB T B d B t B d P t B s bA T B d A t A d P t A s bB F B d P t B s bA F A d P t A Sec_3.8.qxd 9/27/08 1:13 PM Page 318...
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