HW_8 Solutions - Calculate torque using power equation:...

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Calculate torque using power equation: Note: Conversions are important here! ftlb s rad s ftlb T s rad rev rad rev s ftlb hp s ftlb hp P P T T P 54 . 6302 0 . 50 / 990000 0 . 50 sec 60 min 1 1 2 min 1500 / 990000 1 / 550 1800 = = = = = = = = p p p w w w Using Torsion Shear Stress Formula ksi psi in in ft in ftlb J Tc 02 . 6 6018 2 2 ) 2 )( 1 / 12 ( 54 . 6302 4 4 = = = = t p t First Draw required FBD’s to find torque in each rod Use twist angle formula.
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+ = = 8 . 0 0 dx JG T JG TL JG TL A A f f Part can be found from integration formula since non constant torque ( 29 ( 29 ( 29 ( 29 ( 29 o 432 . 0 007545 . 0 2 / ) 8 . 0 ( 2000 ) 8 . 0 ( 200 9 . 95425 1 002515 . 0 10 0 . 75 03 . 0 2 ) 2000 200 ( 10 0 . 75 03 . 0 2 ) 6 . 0 ( 400 2 8 . 0 0 9 4 4 9 4 4 - = - = - + - = - + - = rad rad rad dx Pa m Nm x Pa m m Nm A A A f f p p f Cut the shaft in the center and draw FBD Equilibrium equation: 0 800 = - - Ts Tr lbft Compatibility equation: ( 29 S R S R S S R R S T T
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HW_8 Solutions - Calculate torque using power equation:...

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