EngiRef / Civil Engineering Formula

Radius of Gyration

Radius of Gyration: Geometric property for column stability. A Columns formula in civil engineering. Variables r, I and A, each with SI and imperial units.

Columns

Specification

Name
Radius of Gyration
Discipline
civil
Category
Columns
LaTeX
r = \sqrt{\frac{I}{A}}
Description
Geometric property for column stability
Can solve for
r, I, A
Tags
radius, gyration, column, section

Variables

Variables for Radius of Gyration
SymbolNameUnitSi UnitImperial Unit
rRadius of Gyrationmmin
IMoment of Inertiam⁴m⁴in⁴
ACross-sectional Areain²

Common questions

What is the Radius of Gyration formula?
Geometric property for column stability. It sits under Columns, Civil engineering in the EngiRef reference.
What do the symbols in the Radius of Gyration formula mean?
In Radius of Gyration, r is radius of gyration in m; I is moment of inertia in m⁴; A is cross-sectional area in m².