Torsion The shear stress in beam due to torque can be derived with three principals: Geometry, Hooke's Law, and Equilibrium. Circular Members   Geometry: g = shear strain f = angle of twist q = angle of twist / unit length Hooke's Law: Equilibrium: Relationship between Torque and Shear:   T = G · q · J Polar Moment of Area for Circular Shapes:   Angle of Twist:   Circular Shaft: Hollow Shaft: Thin Walled Tube: J = 2pr3t

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