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Unformatted text preview: Stress due to Torsion T12.1 Internal Resultant & Stress Pairings
Force [F]
Internal resultant 1 normal component 2 tangential components P V 1 normal component normal stress [F/L2] Moment [FL] Internal resultant 1 normal component 2 tangential components T M 2 tangential components shear stress [F/L2] Torsional Shafts Kinematics Kinematics TorqueStress Relation c Polar Moment of Inertia, J
J : 2 dA
A c dA 2 d J 2 2 d 0 c co ci
dA 2 d J 2 2 d ci co 2 4 4 c 0 2 4 4 co 2 ci c4 c 2 4 o ci4 Longitudinal Shear Stress Power Transmission
torque rotation power time T t 2 f t P T 2 fT
Note: 1 hp = 550 ftlb/s Example The motor of fan delivers 150 W of power to the blade when it is turning at 18 rev/s. Determine the smallest diameter of the shaft A that can be used to connect the fan blade to the motor if the allowable shear stress is allow = 80 MPa. Stress Concentrations ...
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This note was uploaded on 12/19/2010 for the course EGR 75 taught by Professor Virgin during the Fall '08 term at Duke.
 Fall '08
 VIRGIN
 Stress, Torsion

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