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L7 - Torsional Loads on Circular Shafts Example...

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Torsional Loads on Circular Shafts Example: Transmission shaft • impact of torsional loads •deformation • shear strain • shear stress • normal stress • failure under torsion
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Net Torque Due to Internal Stresses • Distribution of stresses is unknown • Distribution of shearing stresses: • Not uniform • Statically indeterminate – must consider shaft deformations T ext = T int
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Axial Shear Components Shear stress in both: longitudinal plane plane perpendicular to the axis
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Angle of twist φ is proportional to: 1)applied torque; 2)shaft length L T φ Shaft Deformations • Circular shaft: axisymmetric every cross-section of a circular shaft remains plane and undistorted . • Noncircular shaft: non-axisymmetric Cross-sections of noncircular are distorted when subjected to torsion. square element -> rhombus.
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Shearing Strain L L ρφ γρ φγ = = or • If shear strain is small: •Distance A-A’: deformation ρ : radial dist.
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L7 - Torsional Loads on Circular Shafts Example...

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