Waterplane Area - Simpson's 1st Rule
Integrate a waterplane or any symmetrical area using Simpson's 1st rule over an odd number of equally-spaced half-breadths.
Waterplane area A_w
4,162.7m²
Formula, assumptions, and limits
Half-breadths measured from the centreline; the factor 2 accounts for the two symmetric halves. Simpson's 1st rule requires an odd number of ordinates (n = 2k+1).
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Half-breadth at station i | m | offsets table | |
| Common station spacing | m | body plan | |
| Waterplane area | m² | result |