Polar Moment of Inertia Machinery's Handbook, 31st Edition
254
Spherical Sector:
A
h
r
With reference to axis AA : J M rh h 5 3 M 2 = − ^ h
A
Spherical Segment:
A
h
Spherical Segment : With reference to axis AA : J M r rh h r h h 4 3 20 3 3 2 M 2 2 = − + − a k
r
A
Torus:
With reference to axis AA : J M R r 2 8 5 M 2 2 = + a k With reference to axis BB : J M R r 4 3 M 2 2 = + a k
A
A B B
R R
r
Paraboloid:
B
Mr 3 1
2
With reference to axis AA : J = With reference to axis BB (through the center of gravity): J M r h 6 18 M 2 2 = + a k M With reference to axis AA : J M b c 5 M 2 2 = + ^ h With reference to axis BB : J M a c 5 M 2 2 = + ^ h With reference to axis CC : J M a b 5 M 2 2 = + ^ h
r
A
A
h
B
Ellipsoid:
B
b
A
A C C
A
a
a
B
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