Class MassProperties3
- Namespace
- GeometryHelper
- Assembly
- GeometryHelper.dll
How much a body weighs, where its weight is centred, and how it resists turning.
public sealed class MassProperties3- Inheritance
-
MassProperties3
- Inherited Members
Remarks
The moments and products are about axes through the centroid parallel to the world's. A product of inertia is the integral of the two coordinates multiplied, so Ixy is ∫(x - cx)(y - cy) dm and appears negated off the diagonal of GetInertiaTensor(). The principal moments are the tensor's eigenvalues, smallest first, and the principal axes turn with them.
Properties
- Centroid
Gets the centre of the material's volume, which is its centre of mass.
- Density
Gets the density the mass and the moments were worked out for.
- Ixx
Gets the moment of inertia about the axis through the centroid parallel to X.
- Ixy
Gets the product of inertia ∫(x - cx)(y - cy) dm.
- Iyy
Gets the moment of inertia about the axis through the centroid parallel to Y.
- Iyz
Gets the product of inertia ∫(y - cy)(z - cz) dm.
- Izx
Gets the product of inertia ∫(z - cz)(x - cx) dm.
- Izz
Gets the moment of inertia about the axis through the centroid parallel to Z.
- Mass
Gets the mass: the density times the volume.
- PrincipalAxes
Gets the principal axes, in the order of PrincipalMoments, unit length and right-handed.
- PrincipalMoments
Gets the principal moments of inertia, smallest first.
- SurfaceArea
Gets the area of where the material ends, the walls of its openings included.
- Volume
Gets the volume of the material, openings taken out.
Methods
- GetInertiaTensor()
Gets the inertia tensor about the centroid: the moments on the diagonal, the products negated off it.
- GetMomentAbout(GeoPoint3, GeoVector3)
Gets the moment of inertia about an axis through a point, by way of the parallel axis theorem.