" Polar Moment of Inertia" - a measure of a beam's ability to resist torsion - which is required to calculate the twist of a beam subjected to torque." Polar Moment of Inertia of an Area" is also called " Polar Moment of Inertia", " Second Moment of Area", " Area Moment of Inertia", " Polar Moment of Area" or " Second Area Moment". It is analogous to the " Area Moment of Inertia" - which characterizes a beam's ability to resist bending - required to predict deflection and stress in a beam. The " Polar Moment of Inertia" is defined with respect to an axis perpendicular to the area considered. the " Polar Moment of Inertia of an Area" is a measure of a shaft's ability to resist torsion.J = Polar Moment of Inertia of Area (m 4, ft 4) R = distance from center to stressed surface in the given position (m, ft) The shear stress in a solid circular shaft in a given position can be expressed as: The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft. When a shaft is subjected to a torque or twisting a shearing stress is produced in the shaft.
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