MASS MOMENT OF INERTIA OF A THIN RECTANGULAR PLATE


The moment of inertia of a rectangle shaped thin plate about its center of the mass can be calculated using following moment of inertia calculator. Formulas used for mass moment of inertia calculations of a flat rectangular plate are given below the calculator.


Moment of Inertia of a Rectangular Plate Calculator:

Mass moment of inertia of a slab
INPUT PARAMETERS
Parameter Value
Length a
Length b
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/Condition Symbol Equation
Mass moment of inertia about x axis Ix Ix= (M/12) * a2
Mass moment of inertia about y axis Iy Iy= (M/12) * b2
Mass moment of inertia about z axis Iz Iz= (1/12)*M*(a2+b2)

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