Boneyard Tools

Sail Area to Displacement (SA/D) Calculator

The sail area to displacement ratio is naval architecture's rough power-to-weight score for a sailboat: lots of sail on a light hull feels lively, the same sail on a heavy hull feels sedate. Enter the boat's sail area in square feet and its displacement in pounds, and the calculator converts the weight to a seawater volume, works out the SA/D figure, and drops it into a plain-language band. It is the fastest way to compare boats of very different sizes on an even footing.

How to calculate the SA/D ratio

  1. Type the total sail area in the 'Sail area' field, measured in square feet.
  2. Enter the boat's displacement in the 'Displacement' field, in pounds.
  3. Read the 'SA/D ratio', the 'Band' and the 'Displacement volume' in cubic feet.
  4. Use Copy to grab the ratio and band, for example SA/D ratio = 17.24 (Moderate cruiser/racer).

Examples

Mid-size cruiser, 500 sq ft on 10,000 lb

Sail area 500 sq ft, Displacement 10,000 lb
SA/D 17.24, Band Moderate cruiser/racer, volume 156.25 cu ft

Heavy displacement cruiser

Sail area 350 sq ft, Displacement 8,000 lb
SA/D 14, Band Heavy cruiser, volume 125 cu ft

Same hull with a taller rig

Sail area 550 sq ft, Displacement 8,000 lb
SA/D 22, Band Performance, volume 125 cu ft

Frequently asked questions

What is the SA/D ratio?

Sail area to displacement is a dimensionless power-to-weight figure for sailboats. It divides sail area in square feet by the displacement volume in cubic feet raised to the two-thirds power. Raising volume to two thirds converts it to an area-like quantity, so the ratio compares boats of different sizes on a fair basis.

How is the calculation done step by step?

First the displacement in pounds is divided by 64 to get a volume in cubic feet. That volume is raised to the two-thirds power, and the sail area is divided by the result. For 500 square feet on 10,000 pounds, the volume is 156.25 cubic feet and the SA/D works out to about 17.24.

What do the bands mean?

As a rough guide the tool labels under 16 a Heavy cruiser, 16 up to 20 a Moderate cruiser/racer, 20 up to 24 a Performance boat, and 24 or more a Racer. The cutoffs are conventions, not laws, so a boat near a boundary can reasonably be described either way.

Why divide the weight by 64?

The ratio needs a volume, but displacement is quoted as a weight. A cubic foot of seawater weighs about 64 pounds, so dividing pounds by 64 gives the volume of water the hull pushes aside. Freshwater is nearer 62.4 pounds per cubic foot, but the SA/D convention uses the seawater figure of 64.

Which sail area number should I use?

Use the mainsail area plus the area of the 100 percent foretriangle, the standard designers publish. Do not add the overlap of a genoa or the extra cloth of a spinnaker, because the ratio is defined against that nominal working sail area, not the largest sails you might fly.

Where do I find sail area and displacement figures?

Both usually appear in a boat's published specifications, brochure or a sailboat database. Displacement is the design or half-load weight; if you only have a loaded cruising weight it will read a little heavier and lower the ratio slightly.

Is a higher SA/D always better?

No. A high ratio means more driving power for light air and quicker acceleration, but it also means the boat heels sooner and needs reefing earlier as the breeze builds. Cruisers often prefer a lower, more forgiving ratio, while racers chase a higher one.

What inputs does the tool reject?

Both fields must be numbers greater than zero. A blank, zero or negative sail area or displacement shows a short prompt instead of a result. Very large or small but valid numbers are fine, since the formula scales smoothly across boat sizes.

Is my data kept private?

Yes. The whole calculation runs in your browser as simple arithmetic, so the sail area and displacement you enter never leave your device and nothing is stored or uploaded.

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