Polar Moment of Inertia Calculator

Free calculate polar moment of inertia for solid and hollow circular cross sections. determine torsional resistance.

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Polar Moment of Inertia Formula

Solid Circle

J = π × d⁴ / 32

Where:

  • • J = polar moment of inertia (m⁴)
  • • d = diameter (m)

Hollow Circle

J = π × (D⁴ - d⁴) / 32

Where:

  • • J = polar moment of inertia (m⁴)
  • • D = outer diameter (m)
  • • d = inner diameter (m)

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