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Chapter 2 - Axial loading - normal stress - normal strain - deformation Chapter 3 - Torsion - shear stress - shear strain - angle of twist - failure under torsion

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Torsional Loads on Circular Shafts Example: Transmission shaft http://www.windpower.org/res/generat.gif Wind turbine generator
Net Torque Due to Internal Stresses 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
Angle of twist φ is proportional to: 1)applied torque; 2)shaft length L T ! ! " 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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L L !" # = = or • If shear strain is small: •Distance A-A’: deformation ρ φ : angle of twist (angle change in the cross-sectional plane)
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