Machinery's Handbook, 31st Edition
236
Radius of Gyration
Thin Circular Disk:
A
k
A
r 2 1 4 1 2 2 = =
. r 07071 2
k
r
k r
1 2 2 = =
A
k
r k
k
r
A
A
Axis through center
Axis its diameter
Thin, Flat, Circular Ring: A
k k D d 4 1 16 2 2 2 = = +
d
D d +
2 2
D
k
A
Axis its diameter
Cylinder:
A
k
A
A
3
r
2
2
+
k r
k l =
r 2 2 1 2 2 = =
12
l
A A
r
k
r
2
2
k l 2
k
r
= +
12 4
A
A
Axis, diameter at mid-length
Axis through center
A
A
A
k
l 12 4 3 2 +
r
2
2 1
l
k
a
k a r k a r 2 2 2 2 = + = +
2
=
r
k
A
2 1
k l r 3 4 2 2 = +
2
r Axis at a distance
A
A
Axis, diameter at end
Parallelepiped:
A
A
A
A
l b 12 4 2 2 +
a k
k
b
=
k
l b a al 12 4 2 2 2
b
k
= + + +
l
k l b 12 4 2 2 2 = +
l
A A Axis at distance from end
A
A
Axis at one end, central
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