Area Moment of Inertia - Filled Ellipse

Description

The second moment of area, also known as moment of inertia of plane area, area moment of inertia, polar moment of area or second area moment, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis.
The second moment of area for a shape is easier to be calculeted with respect to a parallel axis or with respect to a perpendicular axis through the centroid of the shape.
The formula calculates the Moment of Inertia of a filled ellipse with a radius a along the x-axis and a radius b along the y-axis in respect to an axis running through the center of the ellipse and parallel to the x-axis

Related formulas

Variables

IxArea Moment of Inertia (mm4)
πpi
aRadius of ellipse along the x-axis (mm)
bRadius of ellipse along the y-axis (mm)