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GM from Inclining Experiment

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Compute metacentric height from a controlled weight shift and pendulum deflection - the lightship inclining test at delivery and every 5 years.

Formula

$$ GM = \frac{w \cdot d \cdot L_\text{pend}}{\Delta \cdot \text{deflection}} $$

Symbol legend

SymbolMeaningUnitSource
$w$Each inclining weight movedttest equipment
$d$Transverse shift distancemtest setup
$L_\text{pend}$Pendulum lengthmmeasurement
$Deflection$Pendulum horizontal movementmscale reading
$Δ$Ship displacement at testthydrostatic table
$GM$Metacentric heightmresult

Sources

  • IMO IS Code MSC.267(85) Part B Ch.7.
  • Derrett & Barrass Ch.17.