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Displacement Volume - Simpson's 1st Rule

Volumetric integration of the submerged hull through ordinates of section area × spacing.

StabilityHydrostaticsSimpson
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Formula, assumptions, and limits

=h3(A0+4A1+2A2++An)\nabla = \frac{h}{3} (A_0 + 4 A_1 + 2 A_2 + \ldots + A_n)
SymbolMeaningUnit
AiA_iSection area at station i
hhStation spacingm
Displacement volume

Source: Derrett & Barrass Ch.5

In short

Volumetric integration of the submerged hull through ordinates of section area \u00d7 spacing.

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