Radius Of Gyration Formula
Directory

Career

News

Industrial
Geometry Home
CrossSections of
Standard Beams
Common Beams
Applications
Beam Bending
Geometric Shapes
Common Areas
Common Solids
Useful Geometry
Resources
Bibliography
Login
Home
Membership
Magazines
Forum
Search Member
Calculators
Materials
Design
Processes
Units
Formulas
Math
Browse all »
Wolfram Community »
Wolfram Language »
Demonstrations »
Connected Devices »
Definition

Transfer of Axis

Area Moment of Inertia

Mass Moment of Inertia
Area Radius of Gyration
The Radius of Gyration
k
_{x}
of an Area
(A)
about an axis
(x)
is defined as:
equ. (1)
k
_{x}
equ. (2)
Where
I
_{x}
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
k
_{xx}
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

Mass Moment of Inertia
Home
Membership
About Us
Privacy
Disclaimer
Contact
Advertise
Copyright © 2020 eFunda, Inc.