Statics › Section G · Centroids and centers of gravity › Topic G.6
Centroids by integration
A curved edge cannot be split into a few rectangles and triangles. Integration splits it into infinitely many thin strips instead, and it is also where the table of standard centroids comes from.
In this topic
- When the table runs out
- Choosing the element
- The procedure
- Worked example: under a parabola
- The general spandrel
- Worked example: between two curves
- When horizontal strips are better
- Worked example: where 4r/(3π) comes from
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…