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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.
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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
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Triangle
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Circle
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Ellipse
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Circular
Cylindrical Shell
where m= mass, r = radius
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Right Circular Cylinder
where m= mass, r = radius
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Sphere
where m= mass, r = radius
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Semicylinder
where m= mass, r = radius
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Hemisphere
where m= mass, r = radius
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Rectangular Parallelopiped
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Uniform Slender Rod
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Right Circular Cone
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Elliptical Cylinder
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Hemispherical Shell
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Torus (complete)
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