Ship Stability (Metacentric Height) Calculator
GM = KM − KG · free surface correction · stiff vs tender
⚠ Educational estimator only — not for real loading decisions
This is a simplified educational stability estimator only, using a basic box-shaped hull approximation. Actual vessel stability must always be verified using the vessel's approved stability booklet and/or a qualified naval architect — this tool is NOT valid for official stability submittals, regulatory compliance, or real vessel loading decisions.
Rectangular Hull Approximation
A true box: the waterplane is treated as a plain rectangle and the underwater body as a plain prism. Real hull forms taper towards the bow and stern, so treat every figure below as an order-of-magnitude teaching estimate, not a hull-specific result.
Data From Your Stability Booklet ★
Real hydrostatic data always overrides the box approximation. Enter whatever your booklet or hydrostatic curves actually give you.
Loading Condition
Free Surface (Slack Tanks)
Any tank that is neither pressed full nor empty carries a free surface. The liquid slides to the low side as the vessel heels and G effectively rises, costing GM — and the loss depends on the tank's shape, not on how much liquid is in it.
Result
Enter the hull dimensions, the draft and where the centre of gravity sits, then add any slack tanks — you will get BM, KM, the solid and fluid GM, an angle of loll if the vessel is unstable, and a stiff-versus-tender reading of how it will behave in a seaway
Everything above rests on a rectangular hull with a rectangular waterplane, which no real vessel has. A genuine hull narrows towards the ends, so its waterplane second moment is smaller than the box figure and BM comes out lower — the box approximation is therefore optimistic about stability, which is the wrong direction to be wrong in. KB from the box or Morrish estimate is likewise only an approximation of a real vertical centre of buoyancy, and both assume upright, even-keel floating with no trim, no list and no hull deflection. GM describes initial stability at small angles only: it says nothing about the righting lever curve at larger heel, the range of positive stability, the downflooding angle or the effect of deck-edge immersion, all of which decide whether a vessel actually survives a knockdown. Free surface correction assumes each tank is a plain rectangle with an unrestricted surface; swash bulkheads reduce the effect substantially and irregular tank shapes change it. The commonly quoted minimum GM figure is informational context, not a regulatory determination — actual criteria depend on the vessel type, the flag state and the applicable intact stability code, and are assessed on the full righting lever curve rather than GM alone. Use this to build intuition and to check the shape of an answer, never to make a loading, ballasting or departure decision.