# Area moments of inertia for a filled triangular area with respect to an axis through the centroid

## 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.

Area moments of inertia of a filled triangle with respect to an axis through the centroid and parallel to the shape, is depended on the base width and the height of the triangle.

## Variables

I_{0} | Area moment of inertia (m^{4}) |

b | The base width of the triangle (m) |

h | The height of the triangle (m) |