Page 176 - Standard Handbook Of Petroleum & Natural Gas Engineering

Dynamics 161

Table 2-6
Moments of Inertia of Common Areas and Volumes [3]
MASS
BODY CENTER MOMENTS OF INERTIA

Circular
'
XI I ' Cylindrical
Shell

Half
Cylindrical
Shell

I, = Ym9 i mP
KP
Ixlxl = Ym9 i XmP
la = Xm19
Circular
Cylinder
I, = Iw
= Ym3 + KzmP
- 4r IXIXl = IUIUl
x=- = Ym9 + MmP
3n
I, = Xm9
x> "
Semicylinder

I, = Knm(a2 + 12)
In = Knm(b2 + 12)
I, = Knm(a2 + b2)
I ' IYln = Knmb2 + MmP
'
x,
Rectangular
Parallelepiped