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TPC from Waterplane Simpson's Rule

Tonnes per centimetre (TPC) at any draft from waterplane-area ordinates using Simpson's composite rule - the hydrostatic table entry for draft sensitivity.

TPCWaterplaneSimpson
Waterplane area A_w
2,800.0
TPC
28.700t/cm
Formula, assumptions, and limits

Ordinates y are half-breadths at each station (0 to 4). Multiplies by 2 for full area. Valid for ships with symmetric waterplane about centreline.

Symbol legend

SymbolMeaningUnitSource
Waterplane area (full)Simpson sum × 2
Water densitykg/m³hydrometer