Lust CDA3000 - Mass Moments of Inertia

A-20
Engineering Guide CDA3000
Appendix A Formula bank
Thin-walled hollow cylinder
Cylinder with full circular
cross-section
Thick-walled hollow cylinder
Long, thin bar with pivot point at center of
gravity
Table 7.15 Mass moments of inertia of bodies
A.2.8 Mass moments
of inertia
Mass moments of
inertia of bodies
Jm
d
m
4
------
d
3
m
4
--------
π b ρδ⋅⋅⋅⋅=⋅=
b
r
m
d
m
J
m
2
----
d
2
--


2
π b ρ⋅⋅
2
------------------
d
2
--


4
⋅=⋅=
b
r
d
J
m
2
----
d
a
2
-----


2
d
i
2
---


2
+=
b
r
a
r
i
d
i
d
a
J
m
12
-----
l
2 A ρ⋅
12
----------
l
3
⋅=⋅=
l
A
m