L8 - Torsion = L : radial dist. c: radius L: length : shear...

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Torsion L ρφ γ= max τ ρ c = and max J T J Tc = = ρ : radial dist. c: radius L: length γ : shear strain φ : angle of twist
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L ρφ γ= max Tc J τ = c L φ γ = GJ G == JG TL =
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Angle of Twist in Elastic Range => JG TL = φ • Adding all the segments: = i i i i i G J L T
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Statically Indeterminate Shafts • From statics, statically indeterminate (cannot determine T A and T B ) ft lb 90 = + B A T T Need another equation (compatibility eq)
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ft lb 90 1 2 2 1 = + A A T J L J L T • Substitute into the original equilibrium equation, 12 21 0 AB BA TL TL JG LJ TT φ φφ =+ =− = = The angle of twist at point B is 0. 0 + = compatible deformations- break it into 2 sections: Now we have 2 equations and 2 unknowns, =>
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Design of Transmission Shafts • Principal transmission shaft performance specifications are:
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This note was uploaded on 04/20/2008 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Spring '08 term at Rensselaer Polytechnic Institute.

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L8 - Torsion = L : radial dist. c: radius L: length : shear...

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