What is torsion | Formula | Unit

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Definition of Torsion: 


The action of twisting or the state of being a twist of the one end of an object related to another end. The torsion is the twisting of an object due to an applied torque. 

Torsion Formula: 


For shaft, 

T = JT / τ  × r = JT / l × Gψ 
Where, T = Applied torque
τ =  Tau
JT = Torsional Constant
r = Perpendicular distance between rotational axis and point in the section
l = Length of an object
ψ = Angle of twist 
G = Shear modulus ( Modulus of rigidity)
JT G = Torsional rigidity 

In noncircular cross-sections, twisting is applied by a distortion called warping, in which transverse sections don't remain plane.

Torsion Units:


SI Unit: N/m2 = Pascal (Pa)

Other Unit: Pounds per square inch (psi) 

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