# 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:

 INPUT PARAMETERS Parameter Value Length a mm cm m inch ft Length b Mass [M] kg lb

 RESULTS Parameter Value Mass moment of inertia about X axis [Ix] --- g*mm^2 kg*m^2 lb*in^2 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