Centriods concerns mass of bodies. Centriods can be said to mean the geometric centre of a plane area. While Center of gravity can be said to mean the point where the resultant force acts in a body. Centroidal axis are axis that passes through the geometric center of the plane area or through the center of the plane area.
Moment of INERTIA of a body
Also known as second moment of Area. It is a property of plain cross sectional area of a body. It is usually measured about the plane Area it gives a measure of distribution of the bodies area about the axis to resist bending.
The moment of Inertia of plane areas has two major axis, x-x axis and y-y axis. Parallel axis theorem states that if the moment of Inertia of a plane area about centroidal axis are denoted by Iuu and Ivv. Then the moment of Inertia of and the area about any other axis parallel to the centroidal axis Ixx and Iyy will be given as follows.
Ixx = Iuu + AK^2
Iyy = Ivv + Ay^2I
Ixx = bh^3/12 + Ak^2
Iyy = hb^3/12 + AK^2
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