MASS MOMENT OF INERTIA OF A HOLLOW CYLINDER (SHAFT)

"Mass Moment of Inertia of a Hollow Cylinder (Shaft) Calculator" has been developed to calculate mass moment of inertia (rotational inertia) of a hollow shaft about its center of the mass.

Equations used for mass moment of inertia calculations for a hollow cylinder are given in the "List of Equations" section.



Calculator:

Mass moment of inertia of a hollow cylinder (shaft)
INPUT PARAMETERS
Parameter Symbol Value Unit
Inner Radius R1
Outer Radius R2
Height h
Mass M



OUTPUT PARAMETERS
Parameter Symbol Value Unit
Mass moment of inertia about X axis Ix ---
Mass moment of inertia about Y axis Iy ---
Mass moment of inertia about Z axis Iz ---

Note: Use dot "." as decimal separator.

 

Definitions:

Mass Moment of Inertia: A measure of an object's resistance to rotational velocity about an axis.

List of Equations:
 
Parameter/Condition Symbol Equation
Mass moment of inertia about x axis Ix Ix= (m/12) * (3*(R22+R12) + h2)
Mass moment of inertia about y axis Iy Iy= (m/12) * (3*(R22+R12) + h2)
Mass moment of inertia about z axis Iz Iz= (m/2) * (R12+R22)

Reference:
  • Oberg, E., Jones, F. D., Horton, H. L., & Ryffel, H. H. (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 246