properties

Radius of Gyration Calculator

Calculate radius of gyration from area and second moment of area.

Radius of Gyration Calculator

Geometry input

Define your section

01 / INPUT

Rectangular radius of gyration

Width of the solid rectangle

Height of the solid rectangle

Live analysis

Calculated properties

02 / OUTPUT
Rectangular radius of gyration
57.73503
mm
ry28.86751 mm
Area20,000 mm²
Applied formularx = √(Ix/A); ry = √(Iy/A)

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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