MASS MOMENT OF INERTIA OF A HOLLOW CYLINDER (SHAFT)


"Mass Moment of Inertia of a Hollow Cylinder (Shaft) Calculator" to find mass moment of inertia (rotational inertia) of a hollow cylinder about its center of the mass.

Equations used for mass moment of inertia calculations are given below the calculator.

Moment of Inertia of a Hollow Cylinder Calculator:

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



RESULTS
Parameter Value
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 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., (2016) . Machinery's Handbook . 30th edition.  Industrial Press Inc. pp 238
  • Oberg, E., Jones, F. D., Horton, H. L., & Ryffel, H. H. (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 246