Engineering Mechanics/ Centroid

Centroid of triangle

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Engineering Mechanics/ Centroid
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CENTROID

The centroid is that point in the figure (object) at which whole of the length, area or volume of the figure(object) may be assumed to be concentrated.

The centroid is the center point of the length, area or volume of the given figure(object).

Lets understand the centroid of various types of objects.

Centroid of aPLANE FIGURE

The co-ordinate of centroid of the given plane object is given by the following expression.

Centroid of aTRIANGLE

To find the location of the centroid of a triangle w.r.t its base.

Cosider the given figure of triangle, 

Considering a thin strip of thickness ‘dy’  at distance ‘y’

The y-coordinate centroid is given as,