How is finding the centroid useful in determining the strength of the shape?

Answer 1

Perhaps the link will help a little. If you bend a pipe or metal bar, some of the metal will be in tension (stretched) and some will be in compression (squeezed). There is a neutral plane between the two conditions that is neither stretched nor squeezed. Often the plane passes through the centroid of the pipe (or bar). This is easy to find if the cross-section is regular (round, square, etc.) but more difficult to find if the area is irregular or of variable properties such as density. The centroid is similar to the center of gravity for the shape. Hope that helps a little.

Answer 2

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