Radius of Gyration in Structural Engineering
Radius of gyration describes the distribution of cross sectional area in columns around their centroidal axis.
In structural engineering the Radius of Gyration is used to describe the distribution of cross sectional area in a column around its centroidal axis.
The structural engineering radius of gyration can be expressed as
r = (I / A)1/2 (1)
where
r = radius of gyration (m, mm, ft, in...)
I = Area Moment Of Inertia (m4, mm4, ft4, in4 ..)
A = cross sectional area (m2, mm2, ft2, in2...)
Some typical Sections and their Radius of Gyration
Rectangle - with axis in center
Radius of Gyration for a rectangle with axis in center can be calculated as
rmax = 0.289 h (1)
where
rmax = max radius of gyration (strong axis moment of inertia)
Rectangle - with excentric axis
Radius of Gyration for a rectangle with excentric axis can be calculated as
r = 0.577 h (2)
Rectangle - with tilted axis
Radius of Gyration for a rectangle with tilted axis can be calculated as
r = b h / (6 (b2 + h2))1/2 (3)
Rectangle - with tilted axis II
Radius of Gyration for a rectangle with tilted axis can be calculated as
r = (((h2 + cos2a) + (b2 sin2a)) / 12)1/2 (4)
Hollow Square
Radius of Gyration for a hollow square can be calculated as
r = ((H2 + h2) / 12)1/2 (5)
Hollow Square - with tilted axis
Radius of Gyration for a hollow square with tilted axis can be calculated as
r = ((H2 + h2) / 12)1/2 (6)
Equilateral Triangle with excentric axis
Radius of Gyration for a equilateral triangle can be calculated as
r = h / (18)1/2 (7)
Triangle
Radius of Gyration for a equilateral triangle can be calculated as
r = h / (6)1/2 (8)
Related Topics
-
Beams and Columns
Deflection and stress in beams and columns, moment of inertia, section modulus and technical information. -
Mechanics
The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
Related Documents
-
Area Moment of Inertia - Typical Cross Sections I
Typical cross sections and their Area Moment of Inertia. -
Area Moment of Inertia Converter
Convert between Area Moment of Inertia units. -
Euler's Column Formula
Calculate buckling of columns. -
Mass Moment of Inertia
The Mass Moment of Inertia vs. mass of object, it's shape and relative point of rotation - the Radius of Gyration. -
Pipe and Tubing Formulas
Pipe and Tube Equations - moment of inertia, section modulus, traverse metal area, external pipe surface and traverse internal area - imperial units -
Square Hollow Structural Sections - HSS
Weight, cross sectional area, moments of inertia - Imperial units -
Structural Lumber - Section Sizes
Basic size, area, moments of inertia and section modulus for timber - metric units.
