Statics › Section G · Centroids and centers of gravity › Topic G.5
Average value of a function
A sum can only average a list of separate values. When a load, a pressure or a depth changes smoothly, the average becomes an integral, and the same step turns every centroid formula into its integral form.
In this topic
- Averaging something that never stops changing
- From a sum to an integral
- The equal-area rectangle
- Worked example: a curved load
- Linear functions: the midpoint shortcut
- Worked example: depth in a tidal basin
- Weighted integrals in general
- What changes and what does not
- Common mistakes to avoid
- Key takeaways
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