Abstract
The strength of a component of a structure is dependent on the geometrical properties of its cross-section in addition to its material and other properties. The position of the centroid of a cross-section is the center of the moment of area of the cross-section. If the cross-section is constructed from a homogeneous material, its centroid will lie at the same position as its center of gravity. Centroidal axes are the axes that pass through the centroid. The perpendicular axes theorem states that the sum of the second moments of area of two mutually perpendicular axes of a lamina is equal to the polar second moment of area about a point where these two axes cross.
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