Machinery's Handbook, 31st Edition
Radius of Gyration
237
Rectangular Prism:
k
2 b
A
A
. 0577 3 1 + = + ^ h b c 2 2 =
k
b c
2 2
2
2 c
2 a
k
Axis through center
Thin Hollow Cylinder:
A
A
k
r
. r 0289 6 12 2 2 l 2 2 +
2
k
r
=
l
k l 2
= +
A
A
Axis, diameter at mid-length
Hollow Cylinder:
A
l
R r 2 1 2 2 2 = + ^ h k R r 2 2 2 = +
R r 12 3 + + ^ 2 2
R r
2
2 2
h
R
k l =
k
R r
A
A
r
2
k
k l 2
= + +
4
12
A
k
Axis, diameter at mid-length
Longitudinal Axis
Cone:
A
A
h r 20 2 3 2 2 + 12 3 h r 20 2 +
k
=
Axis at base
k 1
k
r
2
h
k
=
Axis at apex
1
A
A
. . r 05477
A
A
k
r
03 2 2 = =
k
k
Axis through its center line
Frustum of Cone:
A
A
R
r
R Rr r R Rr r 3 6 2 2 2
20 3
h 10 2
R r R r − −
2
3 3 5 5
k
+ + + + + k
k
a
a
k
=
h
A
A
Axis at large end
Copyright 2020, Industrial Press, Inc.
ebooks.industrialpress.com
Made with FlippingBook - Share PDF online