Centroid of a Line

Straight Line: The centroid of a straight line is located at its midpoint. However, for a shape made up of multiple straight-line segments, its centroidal location can be found as

(1)

where x_i y_i z_i represent the centroidal coordinates of the i^th line segment. In applying Eq. (1), we are free to choose any reference coordinate system that simplifies the calculation of the centroid. Using the moment-of-a-force analogy, the numerator in Eq. (1) represents the sum of "moments" produced by the individual line segments, and the denominator represents the total line length.

Example 1

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