Area moment of inertia for a Rectangle with centroid at the origin(z-axis)


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.
A rectangle with base b and height h whose centroid is located at the origin, has area moment of inertia in respect to perpendicular axis at the center of the area depended on the base and height of the rectangle. ( Perpendicular axis theorem)

Related formulas


JzPolar moment of inertia with respect to the z-axis (m4)
bThe base of the rectangle (m)
hThe height of the rectangle (m)