CH_5_Summery

# 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
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
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 Φ (0) Φ (x) Φ (L) x Angle of Twist • Sign Convention: φ 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 • We’ll use one more equation: • Therefore Statically Indeterminate We Also know:...
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## This note was uploaded on 04/14/2008 for the course E MCH 213 taught by Professor Lewisdean during the Spring '08 term at Penn State.

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CH_5_Summery - minimum allowable shaft radius Power...

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