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--- visual3d:documentation:modeling:segments:segment_volume [2024/07/03 17:27] – removed sgranger
+++ visual3d:documentation:modeling:segments:segment_volume [2024/07/17 15:45] (current) – created sgranger
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+====== Segment Volume ======
+Visual3D models segments as cones, cylinders, spheres, and ellipsoids. Visual3D doesn't compute the volume of a segment based on these geometries, but the calculations are straightforward.
+===== Volume of Conical Frustrum =====
+One of the Visual3D segment geometries is labeled a **Cone.** To be precise the **Cone** refers to a **conical frustrum.** A **frustra of right cones** is created by cutting the top off of a cone such that the cut is parallel to the base of the cone.
+{{:frustraOfRightCones1.gif}}
+A frustra of right cones is created by cutting the top off of a cone such that the cut is parallel to the base of the cone.
+The volume of a conical frustrum is:
+{{:Volume_Frustrum.jpg}}
+This value is not computed by default, but can be added as a Model Metric Item.
+{{:Volume_Frustrum_Metric.png}}
+===== Volume of Ellipsoid =====
+In Visual3D the inertial properties of an ellipsoid (sphere) are calculated using only the distal radius.
+{{:sphere.gif}}
+The distance from the proximal end of the segment to the center of mass of the segment.
+**CG_from_proximal_end = L**
+{{:Volume_Ellipsoid.jpg}}
+===== Volume of Elliptical Cylinder =====
+{{:Cylinder.gif}}
+Visual3D uses the Radius at the distal end of the segment as the Radius of the cylinder.
+{{:Volume_Cylinder.jpg}}