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Radius of Gyration

Definition | Transfer of Axis | Area Moment of Inertia
 
Area Radius of Gyration
The Radius of Gyration kx of an Area (A) about an axis (x) is defined as:
equ. (1)
kx equ. (2)
Where Ix is the Moment of Inertia about the axis (x), and A is the area. If no axis is specified the centroidal axis is assumed.
Using the Perpendicular Axis Theorem and equ. (1) from above it can be shown that:
equ. (3)
 
Mass Radius of Gyration
 
The Radius of Gyration kxx of a Mass (m) about an axis (x) is defined as:
equ. (4)
k equ. (5)
Where I is the Moment of Inertia about the axis (x), and m is the mass.
If no axis is specified the centroidal axis is assumed.
Radius of Gyration Definition and Concept
 
Definition | Transfer of Axis | Area Moment of Inertia