Torsion Rigidity: Definition & Examples

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Torsion rigidity refers to a material's resistance to twisting when subjected to torque. It is defined by the relationship between applied torque, angle of twist, length of the bar, area moment of inertia, and shear modulus. The formula phi = (T*L)/(J*G) illustrates how these variables interact, where phi represents the angle of twist. Torsional stiffness, denoted as Kt, can be calculated using Kt = J*G/L. Understanding these principles is essential for applications involving rotational forces in engineering and materials science.
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please explain the concept of Torsion rigidity giving examples.
 
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If a round bar is twisted, it resists being twisted because it has torsional rigidity.

If the length of the bar is L, the applied torque is T, the angle of twist is phi, the area moment of inertia of the circular section is J, and the shear modulus of the material is G, then these variables are related by the linear elastic relation

phi = (T*L)/(J*G)

The torsional stiffness would then be

Kt = J*G/L
 

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