Radius Of Gyration Formula
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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
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