Radius of Gyration Calculator

Calculate the radius of gyration (r) for structural sections. Essential for column buckling analysis and slenderness ratio calculations.

Input Method

in&sup4;
in²

Minimum Radius of Gyration

3.1623 in

rx (Strong Axis)
3.1623 in
ry (Weak Axis)
3.1623 in
Ix
100.00 in&sup4;
Iy
100.00 in&sup4;
Area
10.00 in²
r minimum
3.1623 in

Example Slenderness (12 ft column)

L/rx = 45.5
L/ry = 45.5
L/rmin = 45.5

Formula

r = √(I/A)

The radius of gyration represents the distance from the centroid at which the entire area could be concentrated to give the same moment of inertia.