Metacentric Height (GM)

Initial transverse metacentric height GM = KM − KG - the single most-cited stability criterion.

StabilityGM

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This calculator requires JavaScript to compute its result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

GM_\text{solid} = KM - KG, \quad GM_\text{fluid} = GM_\text{solid} - \text{FSC}

Symbol	Meaning	Unit
$KM$	Transverse metacentre above keel	m
$KG$	Vertical centre of gravity above keel	m
$FSC$	Sum of free-surface corrections	m
$GM_\text{fluid}$	Fluid metacentric height	m

Source: IMO IS Code MSC.267(85); Derrett & Barrass Ch.13

Compute solid GM = KM − KG and fluid GM after free-surface correction.