Centroid of Rectangle

Centroid of rectangle lies at intersection of two diagonals. Diagonals intersect at width (b/2) from reference x-axis and at height (h/2) from reference y-axis. As shown below.

Centroid of rectangular areas

 

Examples

  1. Find the centroid of rectangular wall whose height is 12 ft. and base length of wall is 24 ft.

Solution:

Centroid of rectangular section lies where two diagonals intersect each other.

 

Centroid of rectangular wall

Hence, centroid from reference Y-axis

\(\bar{X}=\frac{b}{2}=\frac{24}{2}=12ft\)

Centroid from reference X-axis;

\(\bar{Y}=\frac{h}{2}=\frac{12}{2}=6ft\)

 

 

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