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 in the "List of Equations" section.



Calculator:

Mass moment of inertia of a slab
INPUT PARAMETERS
Parameter Symbol Value Unit
Length a a
Length b b
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) * 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. (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 246