What is Torsional Rigidity?
By BYJU'S Exam Prep
Updated on: October 17th, 2023
- The torque required to produce a twist of one degree per unit length of the shaft
- The torque required to produce a twist of one radian per unit length of the shaft
- The torque required to produce a twist of one radian per unit area of the shaft
- The torque required to produce a twist of one degree per unit area of the shaft
Torsional rigidity is the torque required to generate a one-radian twist per unit length of the shaft.
T/J = τ/r = Gθ/L
Torsional stiffness (k) is the torque per radian twist.
k = T/θ = GJ/L
The torsional stiffness of the shaft is the name given to the GJ parameter.
Table of content
The torque necessary to generate a one-radian twist per unit length of the shaft is another definition for torsional stiffness.
GJ = T/ θ/L
Shear modulus (G) and polar moment of inertia are the components that make up torsional stiffness (J). The torsional rigidity of a material demonstrates its resistance to angular deformation. The following formula can be used to calculate a component’s torsional rigidity::-
Torsional rigidity = G x J
The torsional stiffness for the component under the torque of T can be calculated using the:
GJ = TL/θ
Summary:
What is Torsional Rigidity?
The torque necessary to create a one-radian twist per unit length of the shaft is called torsional stiffness.