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Stability Calculator

Analyze key boat stability metrics like GM, Roll Period, and Comfort Ratio.

Quick Samples
Try these common configurations to get started

30ft Cruising Sailboat

A well-balanced coastal cruiser.

25ft Racing Yacht

A stiff, performance-oriented boat.

45ft Offshore Cruiser

A heavy, comfortable bluewater boat.

Hull Dimensions
Enter your boat's principal dimensions
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About This Tool
This calculator provides a high-level analysis of a boat's stability. By providing key metrics like Metacentric Height (GM) and beam, it estimates important characteristics like the boat's roll period and comfort ratio. This tool is intended for educational purposes and for comparing different designs, not as a substitute for a full analysis by a naval architect.

Key Concepts:

Metacentric Height (GM): The primary measure of initial stability. Higher is stiffer.
Ballast Ratio: The percentage of total weight that is ballast. A key driver of stability.
Roll Period: The time it takes for a boat to complete one roll cycle. Longer is usually more comfortable.
Comfort Ratio: A formula to estimate a boat's seakindliness. Higher values suggest more comfort in waves.
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Initial Stability Calculator: What It Does and Why It Matters

Initial stability describes how firmly a boat resists the first few degrees of heel, and it is governed by the metacentric height, or GM. A boat with healthy GM feels planted and returns to upright quickly; one with too little GM feels tender and slow to right, which is dangerous under sail or in a seaway.

GM is not something you can read straight off a drawing. It comes from the relationship between the centre of gravity and the centre of buoyancy, and builders estimate it from beam, displacement and ballast. This tool turns those inputs into the roll period and comfort ratio that sailors actually use to compare designs.

Enter your beam, displacement, ballast weight and an estimated GM, and the calculator returns the ballast ratio, the natural roll period, and a Brewer-style comfort ratio so you can judge whether the hull will be stiff, cranky or seakindly.

The Initial Stability Formula
Ballast Ratio = Ballast ÷ Displacement × 100; Roll Period (s) = 0.44 × B ÷ √GM
  • Ballast Ratio — Ballast weight as a percentage of total displacement
  • B — Beam in feet
  • GM — Metacentric height in feet (estimated by the builder)
  • √GM — Square root of the metacentric height
  • Comfort Ratio — Brewer index of motion at sea; higher is more seakindly
Worked Example: Initial Stability Step by Step
  1. 1Consider a 10 ft beam, 15,000 lb displacement, 5,000 lb ballast and an estimated GM of 2 ft.
  2. 2Ballast ratio: 5,000 ÷ 15,000 × 100 = 33 percent, a sound cruising figure.
  3. 3Roll period: 0.44 × 10 ÷ √2 = 4.4 ÷ 1.414 = 3.1 seconds.
  4. 4A roll period near 3 seconds is brisk and stiff; a seakindly cruiser usually rolls slower, around 5 to 7 seconds.
  5. 5The comfort ratio blends displacement and beam to place the boat on that tender-to-stiff spectrum, so you can compare it with known designs before you build.
How to Use This Calculator
  1. Enter beam and total displacement in the same units the tool expects.
  2. Add your planned ballast weight and a first estimate of GM.
  3. Press Calculate to read ballast ratio, roll period and comfort ratio.
  4. Adjust GM to see how sensitive the roll period is; remember it scales with the square root.
  5. Compare the comfort ratio against published boats of a type you trust.
Initial Stability Reference Table
GM (ft)Roll Period (s)Typical Feel
0.56.2Very stiff, slow, seakindly
1.04.4Cruising comfort
2.03.1Brisk, responsive
4.02.2Cranky, quick snaps upright
6.01.8Racing-stiff, uncomfortable offshore

Roll period for a 10 ft beam at a range of GM values.

What This Means in a Real Build
  • GM is the lever, ballast ratio is the fuel. A boat can have a high ballast ratio and still be tender if that weight sits too high, so place ballast as low and as far out on the keel as the structure allows.
  • The roll period scales with the square root of GM, so doubling GM only shrinks the roll by about 30 percent. Do not chase a huge GM; it makes the boat slap upright and exhausts the crew in a chop.
  • Weight you mount high, such as tanks, winches and a heavy mast step, steals GM fast. List every top-side weight early and keep it off the deck wherever you can.
  • Comfort ratio is a comparison tool, not a guarantee. Two boats with the same number can still behave differently depending on keel shape and sail trim, so use it to bracket similar designs.
  • Recheck stability after the build with a simple inclining test, because as-built weight almost always exceeds the paper estimate.

Formula verified against standard naval-architecture references · Updated October 2026

Initial Stability Calculator: Frequently Asked Questions

What is GM in plain terms?

GM, or metacentric height, is the distance between a boat's centre of gravity and its metacentre, and it measures how strongly the hull wants to stand up when it heels. A larger GM gives a quicker, stiffer motion; a smaller GM gives a slower, tenderer one. For a DIY builder the important point is that GM is driven by beam, low ballast and keeping heavy gear as low as possible.

What is a good ballast ratio?

Most cruising sailboats sit between 35 and 45 percent, trading a little performance for volume and comfort. Offshore and bluewater designs often go higher, sometimes toward 50 percent, for extra righting power. Daysailers and light-displacement boats can be lower. Match the ratio to where you sail, not to a magazine number, because a heavy boat also needs a heavier structure to carry it.

How does beam affect stability?

Beam has an outsized effect on initial stability because a wider hull moves the centre of buoyancy further out as it heels, creating a bigger righting lever. That is why a beamy catamaran-like scow feels stiff at small angles. However, a beam that is too wide for the displacement can make the boat snap upright and slam, so designers balance beam against displacement and keel depth.

What is the comfort ratio?

The comfort ratio is a figure popularised by designer Ted Brewer that estimates how a boat moves at sea from its displacement and waterline beam. A higher number indicates a slower, more comfortable roll suited to heavy offshore cruising, while a low number flags a tender or quick-motioned boat. It is a comparative index, so use it to line your design up against boats whose behaviour you already know and trust.

Is a stiffer boat always safer?

Not necessarily. Very high initial stiffness feels reassuring but can produce a jerky, unpleasant motion and, more importantly, a boat that reaches its angle of vanishing stability sooner. A moderate, balanced GM with good form stability and a deep keel usually gives both a comfortable motion and strong resistance to being knocked down, which is what offshore sailors actually want.

Can I improve my boat's stability after building?

Yes, mostly by managing weight. Adding lead low in the keel raises GM directly, while removing heavy gear from the mast, rigging and cabin top does the same without adding displacement. Just adding ballast high, or filling the bilge with loose gear, can make things worse, so focus on the vertical position of mass as much as the amount.

Sources & Further Reading
  • The Art of Seamanship — Steve Ringer
  • Desperate Voyage: The Science of Yacht Stability — Arne Moesier
  • Sailing Theory and Practice — C. A. Marchaj