 Definition of Mass Moment of Inertia Geometry Home Cross-Sections of Standard Beams Common Beams Applications Beam Bending Geometric Shapes Common Areas Common Solids Useful Geometry Resources Bibliography    Login   Home Membership Magazines Forum Search Member Calculators  Materials  Design  Processes  Units  Formulas  Math  Browse all »
Mass Moment of Inertia The Mass Moment of Inertia of a solid measures the solid's ability to resist changes in rotational speed about a specific axis. The larger the Mass Moment of Inertia the smaller the angular acceleration about that axis for a given torque.

The mass moment of inertia depends on a reference axis, and is usually specified with two subscripts. This helps to provide clarity during three-dimensional motion where rotation can occur about multiple axes.

Following are the mathematical equations to calculate the Mass Moment of Inertia:    where x is the distance from the yz-plane to an infinitesimal area dA. y is the distance from the zx-plane to an infinitesimal area dA. z is the distance from the xy-plane to an infinitesimal area dA.

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