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GM from Inclining Experiment

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

StabilityGM
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Formula, assumptions, and limits

GM=wdLpendΔdeflectionGM = \frac{w \cdot d \cdot L_\text{pend}}{\Delta \cdot \text{deflection}}
SymbolMeaningUnit
wwEach inclining weight movedt
ddTransverse shift distancem
LpendL_\text{pend}Pendulum lengthm
DeflectionDeflectionPendulum horizontal movementm
ΔΔShip displacement at testt
GMGMMetacentric heightm

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

In short

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

Learn the theory Intact stability