Polar Moments of Inertia
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Polar moment of inertia is a measure of a circular beam’s ability to resist torsion. It is required to calculate the twist of an beam subjected to a torque. It is analogous to the area moment of inertia, which characterizes a beam’s ability to resist bending and is required to calculate displacement.

The larger the polar moment of inertia, the less the beam will twist, when subjected to a given torque.

The polar moment of inertia must not be confused with the moment of inertia, which characterizes an object’s angular acceleration due to a torque.

Unlike other forms of inertia, polar moment of inertia has units of length^4 (SI m^4)

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