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Centre of area (centroid)

The centroid of a section is important in structural design and is like the centre of gravity of the shape. Most structural shapes have their centroid tabulated by the manufacturer. Many other simple shapes are symmetrical about the x-x and y-y axes and the centroid can easily be seen. Occasionally a structural shape is made up of more than one structural section. In these cases a calculation is needed to work out the position of the centroid so that further structural design and analysis can be carried out.

this picture contains the follwing scene. Diagram of an oblong beam with the axes x and y marked. The centroid (C) is marked on the beam.Diagram of a circle with the centroid and the x and y axes marked.  Diagram of an I beam with the centroid and the x and y axes marked.Diagram of an I beam with a domed head and foot with the centroid and the x and y axes marked.