GM · Righting lever · Freeboard · Slack tanks · Watertight integrity · Heavy weather preparation
12 lessonsabout 13 min reading5 visuals and tools10 scenario questions5 oral questions
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Lesson 1 of 12 · 1 min
Stability Fundamentals
Term
Definition
G — Centre of Gravity
The point through which the total weight of the vessel acts downwards. Fixed by the distribution of weights on board. Moving weight upward raises G; moving weight down lowers G
B — Centre of Buoyancy
The geometric centre of the underwater volume of the hull. Moves as the vessel heels — always moves toward the low side
M — Metacentre
The point about which a vessel heels for small angles of inclination. A fixed reference point for initial stability calculations
GM — Metacentric Height
The vertical distance between G and M. The primary measure of initial stability. GM must be positive (G below M) for stability
GZ — Righting Lever
The horizontal distance between the lines of action of weight (through G) and buoyancy (through B) when the vessel is heeled. GZ creates a righting moment that returns the vessel to upright
Say it out loud. Talk “GM, GZ and initial stability” through with the live Tutor.
Secure all loose equipment, lines, fenders, deck furniture. Lash tenders and boats. Close all hatches, scuttles, and openings. Rig jacklines and safety nets if required
Interior
Secure all loose items — galley, saloon, cabins. Close and dog all watertight doors. Inspect bilges — pumps operational. Stow all breakables
Bridge
Plot nearest port of refuge on chart. Obtain latest weather forecast. Reduce speed as appropriate. Switch to manual steering. Post lookout. Engines to standby. Call Master
Machinery
Check bilge pumps operational. Reduce fuel consumption if endurance is a factor. Advise engine room of conditions
Crew and guests
Advise of conditions — restrict movement on deck. Issue seasickness medication if required. Muster and account for all persons
Stability
Check tank status — avoid or minimise slack tanks. Consider ballasting if stability is marginal. Check current GM against stability booklet
Say it out loud. Talk “Heavy weather preparation” through with the live Tutor.
Worked Example — Loading Weight, Where Does GM Go?
The oral expects you to run this arithmetic out loud. Displacement 500 t, KG 6.20 m, KM 7.00 m (assume KM unchanged for the small change). You load a 10 t tender on the sundeck at Kg 12.0 m:
Step
Working
Result
Moments about the keel
(500 × 6.20) + (10 × 12.0) = 3100 + 120
3220 t·m
New displacement
500 + 10
510 t
New KG
3220 ÷ 510
6.31 m
New GM
7.00 − 6.31
0.69 m (was 0.80 m)
Ten tonnes stowed high cost 11 cm of GM. Add a free surface correction for any slack tank — FSC = free surface moment ÷ displacement — and the fluid GM is the number that describes how she will actually behave. The drill page generates infinite variations of this calculation; the method is what the examiner marks.
Say it out loud. Talk “Loading, discharging and KG control” through with the live Tutor.
Proportional to GM — a tangent at the origin passes through the GM value at 57.3°. Steep = stiff, shallow = tender
Maximum GZ (and its angle)
The largest righting lever she can generate, and how far she must heel to find it
Angle of vanishing stability
Where the curve recrosses zero — beyond it the lever capsizes rather than rights. The edge of the envelope
Area under the curve
Dynamic stability — the energy she can absorb from wind and waves before capsize. What actually matters when a squall delivers energy, not a steady moment
Say it out loud. Talk “The GZ curve — what it tells you” through with the live Tutor.
Angle of Loll — Diagnosis and the Counterintuitive Cure
Diagnosis first: a vessel with a steady heel that, when you shift weight across, flops through upright and settles at the same angle the other side has an angle of LOLL — negative GM — not a list. A list (G off the centreline, positive GM) corrects with a transverse weight shift and stays corrected. Treating loll as list is the classic fatal error: every transfer makes the flop through upright more violent.
The cure is getting G down, not moving weight sideways:
Order
Action
Why this order
1
Eliminate free surfaces — press up or empty slack tanks
Free surface is a virtual rise of G; killing it may restore positive GM by itself
2
Fill LOW tanks — double bottoms — starting with the tank on the LOW side
Filling the high side first lifts that side's buoyancy demand and can whip her violently across to the other loll angle
3
Slowly, one tank at a time, watching her respond
Each tank is a controlled experiment; two at once is a guess
Say it out loud. Talk “Angle of loll vs list — the critical distinction” through with the live Tutor.
Rule of thumb: T ≈ 0.8 B / √GM (T in seconds, beam B in metres). A 9 m beam yacht with GM 0.8 m rolls in about 8 seconds; let GM erode to 0.35 m and the period stretches past 12 — long, lazy, with a hesitation at the end of each roll as the righting lever runs out of conviction. A crisp quick roll is a stiff ship: safe but violent — brutal accelerations that break lashings and injure crew. The watchkeeping skill is noticing the CHARACTER of the roll change mid-passage and asking why: fuel burned from low tanks (G rising), free surfaces multiplying, weight migrated upwards — then verifying with the calculation, not the feeling.
Say it out loud. Talk “GM, GZ and initial stability” through with the live Tutor.
Synchronous and Parametric Rolling — Resonance and Its Cheap Cure
Synchronous rolling
Wave encounter period matches the natural roll period — each wave arrives in step and adds energy, so rolls build in groups, each worse than the last, out of proportion to the sea. Classic in beam and quartering seas.
Parametric rolling
In head or following seas: the waterplane (and so stability) changes as bow and stern pitch over crests and troughs, pumping the roll at roughly half the roll period. Rarer, violent, and famous for surprising well-found vessels.
Say it out loud. Talk “Synchronous and parametric rolling” through with the live Tutor.
Subdivision, Downflooding and the Limiting KG Curve
Damage stability is bought with bulkheads: flood one compartment of a properly subdivided vessel and she settles, trims and survives — provided the boundaries hold, which is why watertight doors are closed at sea and every opening in a bulkhead is glanded. The downflooding angle — the heel at which the first non-weathertight opening immerses — caps the usable GZ curve: vents, doors and hatches left open in a seaway quietly delete the top of your stability range.
The maximum KG / minimum GM curve in the stability book is the whole subject distilled into a go/no-go line: for each displacement it gives the worst KG at which all required criteria are still met. Any proposed condition — heavy lift, deck cargo, refit addition — is checked with one comparison: calculated KG (with free surface corrections) against the limiting KG for that displacement. Below the line: compliant. Above it: the answer is no, in writing, before the crane takes the weight.
Say it out loud. Talk “The GZ curve — what it tells you” through with the live Tutor.
Scenario questions from the oral, with the reasoning after each one. The answers that look nearly right are there on purpose.
Module 15
Oral questions
Answer each one out loud before you open the model answer. If you can't say it, you don't know it yet.
Q1Your vessel takes a heavy lift with the crane. When is stability worst — and why?Model answer ▾
The moment the weight comes onto the wire. A suspended weight acts at its point of suspension — the crane head — so G rises instantly as if the load were stowed at the top of the crane, cutting GM for the whole duration of the lift, before the load has moved anywhere. The mitigations: minimise time suspended, keep the load low, press up slack tanks beforehand if the condition is marginal, and orient the vessel so any swell is ahead or astern during the lift — a beam swell plus a suspended load has capsized vessels with otherwise adequate stability.
Q2Why does firefighting threaten stability, and what do you do about it?Model answer ▾
Hose water pumped high into the vessel is added weight above G AND a free surface — the worst combination, arriving exactly when the ship is already in trouble. Vessels have capsized alongside from the firefighting, not the fire. So water management runs in parallel with the attack: deck drains and freeing routes opened, boundary water shed continuously, portable pumps stripping ponded water, heel monitored throughout, and the volume of water weighed against the reserve of stability — if she starts hanging in the roll, the water gets priority over the fire.
Q3What is GM and why does it matter?Model answer ▾
GM is the metacentric height — the vertical distance between the vessel's centre of gravity (G) and the metacentre (M). It is the primary measure of initial stability. If GM is positive, G is below M and the vessel will return to upright after a small heel — she is stable. If GM is negative, G is above M and the vessel will continue to heel — she is unstable and at risk of capsize. As the OOW I need to know the vessel's current GM from the stability booklet for the current loading condition and monitor it as fuel and water are consumed during the voyage.
Q4What is free surface effect and how do you manage it?Model answer ▾
Free surface effect is the loss of effective GM caused by liquid shifting to the low side in a partially filled (slack) tank when the vessel heels. The liquid movement raises the effective centre of gravity, reducing stability. The effect depends on the breadth of the free surface cubed — wide tanks are disproportionately dangerous. Multiple slack tanks create cumulative effects. The management is simple: keep tanks either completely full or completely empty. Avoid allowing fuel tanks to slack down excessively during a passage — if multiple tanks are partly empty in a heavy seaway the stability reduction can be significant.
Q5You are at sea and heavy weather is forecast. What preparations do you make?Model answer ▾
Call the Master and brief on the forecast. Obtain the latest weather and plot nearest ports of refuge. Secure all deck equipment — loose items, tenders, boats, davits. Close and secure all hatches, companionways, and portholes. Check watertight doors are closed. Clear scuppers. Check bilge pumps are operational. Advise crew and guests — restrict movement on deck, issue safety briefing. Switch to manual steering, reduce speed, post a dedicated lookout. Check tank status and GM — minimise slack tanks. Advise engine room. Log all actions. Continue to monitor the weather and reassess if conditions deteriorate.
Ready?
Sit a live oral on Stability & Heavy Weather.
The live Examiner asks the questions out loud, coaches you when you miss, and gives you a debrief.