Area under a curve sampled at four equally-spaced ordinates using Simpson’s second (3/8) rule - used when ordinate count is a multiple of 3 + 1.
Formula
$$ A = \frac{3h}{8}(y_0 + 3y_1 + 3y_2 + y_3) $$
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $y_i$ | Ordinate | m | body plan |
| $h$ | Interval width | m | station spacing |
Sources
- Rawson & Tupper - Basic Ship Theory.