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eng.ship-metacentric-height Calculator
Calculates GM from waterplane area second moment, submerged volume, and centre of buoyancy to centre of gravity distance. A minimum positive GM of 0.15m is required by classification societies — insufficient GM causes capsize risk under beam waves.
Inputs
B M
Reference formula or conversion factor shown for context.
D M
Reference formula or conversion factor shown for context.
Kb M
Reference formula or conversion factor shown for context.
Kg M
Reference formula or conversion factor shown for context.
Cw
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Results
metacentric height GM (m)
The computed height.
BM = I / ∇ (metacentric radius)
The computed radius -- half the diameter.
KB (buoyancy above keel)
Sample size or count used in the calculation.
KG (gravity above keel)
Reference formula or conversion factor shown for context.
stability assessment
Measure of how robust the system, structure, or process is to perturbations. Low stability means small changes can cause large deviations.
IMO minimum GM
The smallest value in the dataset or feasible range.