CH_5_Summery - minimum allowable shaft radius: Power...

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Torque—A moment that tends to  twist a member about its  longitudinal axis E MCH 013—Ch 5
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Recall: Hook’s Law: Polar Moment of Intertia: Important New Concepts  Torsion formula Power transmission   Angle of rotation formula Statically indeterminate shafts  
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Shear strain ( γ ) within a shaft varies  linearly only with radial distance:  Given this, we can rewrite Hook’s law:    As Torsion Formula     τ = 0   τ = τ max
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Torsion Formula The Internal torque acting at a cross section is since we can write: and
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Power Transmission Power = Force * Distance/time = Force *2  π  r * # rotations/time F * r = T            and          2    π *frequency =    ω Thus, Power =       
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Note: In English system 1hp= 550 ft lb/s = 6600 in lb/s Maintain Consistent Units! Knowing T and allowable shear stress, gives
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Unformatted text preview: minimum allowable shaft radius: Power Transmission The Angle of twist where G is modulus of elasticity. For a constant Torque and Moment of Intertia per section: Angle of Twist (0) (x) (L) x Angle of Twist Sign Convention: is positive if it deforms so that the angle of twist forces your right thumb to point outward from the shaft Statically Indeterminate A shaft is statically indeterminate when: The moment equation of equilibrium is not enough to solve both unknown torques: 1 equation, 2 unknowns !! We need more equations Well use one more equation: Therefore Statically Indeterminate We Also know:...
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CH_5_Summery - minimum allowable shaft radius: Power...

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