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Polar moment of inertia is the ability of a shape of a cross-section of an object to resist a torsional deformation (caused by the torque along the axis perpendicular to the cross-section). It is also known as a moment of inertia about the axis perpendicular to the cross-section plane.
The SI unit for polar second moment of area, like the planar second moment of area, is meters to the fourth power (m 4), and inches to the fourth power (in 4) in U.S. Customary units and imperial units.
The polar moment of inertia is a measure of an object’s capacity to oppose or resist torsion when some amount of torque is applied to it on a specified axis. Torsion, on the other hand, is the twisting of an object due to an applied torque.
The polar second moment of area (also referred to as "polar moment of inertia") is a measure of an object's ability to resist torsion as a function of its shape.
21 Μαΐ 2024 · To calculate the polar moment of inertia of a hollow cylinder, use the formula: J = π(R⁴ - Rᵢ⁴)/2, where: J – Cylinder polar moment of inertia; R – Cylinder outer radius; and; Rᵢ – Cylinder inner radius.
The polar section modulus (also called section modulus of torsion), Z p, for circular sections may be found by dividing the polar moment of inertia, J, by the distance c from the center of gravity to the most remote fiber.
16 Φεβ 2023 · The polar moment of inertia, also known as the torsional moment of inertia, is a measure of an object’s resistance to torsional or twisting deformation around a specified axis. It is calculated as the sum of the moments of inertia about two perpendicular axes lying in the plane of the cross-section that passes through the point of interest.
