Additional mass properties for coplanar regions
Description
Mass property
Calculations that are derived from the products of inertia and that have
the same unit values. The moment of inertia is highest through a certain
Principal
moments and
axis at the centroid of an object. The moment of inertia is lowest
X,Y,Z directions
about centroid
through the second axis that is normal to the first axis and that also
passes through the centroid. A third value included in the results is
somewhere between the high and low values.
Solids
The following table shows the mass properties that are displayed for solids.
Mass properties for solids
Description
Mass property
The measure of inertia of a body. Because a density of one is used, mass
and volume have the same value.
Mass
The amount of 3D space that a solid encloses.
Volume
The diagonally opposite corners of a 3D box that encloses the solid.
Bounding box
A 3D point that is the center of mass for solids. A solid of uniform density
is assumed.
Centroid
The mass moments of inertia, which is used when computing the force
required to rotate an object about a given axis, such as a wheel rotating
about an axle. The formula for mass moments of inertia is
Moments of
inertia
mass_moments_of_inertia = object_mass * radius axis
2
Mass moments of inertia unit is mass (grams or slugs) times the distance
squared.
Property used to determine the forces causing the motion of an object.
It is always calculated with respect to two orthogonal planes. The
formula for product of inertia for the YZ plane and XZ plane is
Products of
inertia
product_of_inertia YZ,XZ = mass * dist centroid_to_YZ * dist
centroid_to_XZ
This XY value is expressed in mass units times the length squared.
Another way of indicating the moments of inertia of a solid. The formula
for the radii of gyration is
Radii of gyration
gyration_radii = (moments_of_inertia/body_mass) 1/2
Radii of gyration are expressed in distance units.
Calculations that are derived from the products of inertia and that have
the same unit values. The moment of inertia is highest through a certain
Principal
moments and
axis at the centroid of an object. The moment of inertia is lowest
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Summary of Contents for AUTOCAD 2006
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