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 Engineering Formulae
Applied Mechanics - Moment of Inertia

 Netwon's Law Liquid Pressure Moment of Inertia Pascal's Principle Spring Constant Surface Tension Bouncing Capillary Laws of Conservation of Momentum Vibrations Density

Inertia

The inertia of a body may be defined as that property of a body which tends to resist a change in its state of rest or motion.

Mass is defined as a quantitative measure of inertia.

Moment of Inertia of Areas

where,

Ix=moment of inertia of cross-sectional area about X-axis

Iy=moment of inertia of cross-sectional area about Y-axis

Iz=moment of inertia of cross-sectional area about Z-axis.

Moment of inertia of areas

Mass moment of inertia (Im) of a body is given by:

Mass moment of inertia for different shapes of body

Rectangle

Triangle

Circle

Ellipse

Circular Cylindrical Shell

where m= mass, r = radius

Right Circular Cylinder

where m= mass, r = radius

Sphere

where m= mass, r = radius

Semicylinder

where m= mass, r = radius

Hemisphere

where m= mass, r = radius

Rectangular Parallelopiped

Uniform Slender Rod

Right Circular Cone

Elliptical Cylinder

Hemispherical Shell

Torus (complete)