Torsion
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The shear stress in beam due to torque can be derived with three principals: Geometry, Hooke’s Law, and Equilibrium. |
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Circular Members
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Geometry:
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Hooke’s Law:
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Equilibrium:
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Relationship between Torque and Shear:
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T = G · q · J | |
Polar Moment of Area for Circular Shapes:
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Angle of Twist:
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Circular Shaft: | ![]() |
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Hollow Shaft: | ![]() |
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Thin Walled Tube: | ![]() |
J = 2pr3t |