theorems

Polar Moment of Inertia Calculator

Calculate polar second moment of area for suitable cross-sections and axes.

Polar Moment of Inertia Calculator

Geometry input

Define your section

01 / INPUT

Solid circular section

Diameter of the solid circle

Live analysis

Calculated properties

02 / OUTPUT
Solid circular section
9,817,477
mm⁴
Ix4,908,739 mm⁴
Iy4,908,739 mm⁴
Applied formulaJ = πd⁴/32 = Ix + Iy
Assumptions and limitations
  • Solid circular section.

Length inputs are converted to millimetres for calculations. Review the assumptions before using results in engineering work.

About this calculation

Enter the required dimensions and select the appropriate length unit. The calculator displays results based on the selected calculation and its stated assumptions.

Moment of inertia and related section properties depend on the geometry, reference axes, units, and assumptions used. Review the displayed formula and assumptions before using any result.

These tools are intended for educational and preliminary engineering calculations. Independently verify critical results before using them in engineering design or safety-related work.

Calculation methodology

Learn about formulas, units, assumptions, and calculation limitations in our calculation methodology.

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