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Introduction to Statics

Centroid / Centre of area

The point where the area of a figure is assumed to be concentrated.

Located on the axes of symmetry.

First moment of area

Measure of spatial distribution of a shape in relation to an axis.

Here:

  • - Centroid’s coordinate
  • - Centroid’s coordinate
  • - Total area

About an axis of symmetry, first moment of area is .

Second moment of area

Always positive.

The product of moment of area about x,y axes

The polar moment of area about z axis

Radius of gyration