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D/L (Displacement Length Ratio)


What is the displacement/length (D/L) ratio?
The D/L ratio is the ratio between the displacement and the length of a boat. The calculation is very popular because its simplicity and the fact that the values of the displacement and the length are easily available. The article relates the D/L Ratio to thousands of boats sailboats as well as motor boats.

How to calculate the displacement/length (D/L) ratio?
Displacement / Length ratio
Displacement Length Ratio formula

Nomenclature
Abrev.UnitDescription
Disp.long tonDisplacement
LengthftLength of the hull.

1 long ton = 1 displacement ton = 35 cubic ft of sea water = 2240 lb = 1.01605 metric ton.

'Problems' with the formula
First we must decide what we mean with the "length" and the "displacement" of a boat. Unfortunately, neither the term length nor displacement is proper defines. We have described these issues and how we have decided to mitigate them here: Issues with 'length' and Issues with 'Displacement'.
In our calculations, we use the mEC or equivalent mass condition as displacement, and LH (length of hull) as the length. Both mEC and LH are defined in ISO 8666[1]

Common interpretation of the D/L ratio

Ranges for D/L have been slowly re‐defined over the years, tending toward lighter displacements within each range.

D/L Interpretation
D/L rangecategory
100-150Ultra light racers
150-200Light racers
200-275Light cruisers & offshore racers
275-325Medium weight cruisers
325-400Heavy cruisers

Heavier displacement requires more sail area, and is more comfortable.
Heavier displacement combined with smaller water plane area results in lower accelerations.

Lighter displacement requires less sail area, and is less comfortable.
Lighter displacement combined with larger water plane area results in higher accelerations.


D/L scattering
D/L scattering
This figure shows the scattering of the D/L ratio for thousands of sailboat designs.

D/L for the average boats
Displacement / Length ratio per length
This figure shows the mean value of the D/L ratio as function of the length of the hull. According to the general interpretation, this means that the average designs less than 7 meters and above 17 meters are "light racers", while the average designs between 7 meters and 17 meters are "Light cruisers & offshore racers".

Conclusion
The D/L ratio is not well defined and you will see different values for the same boat. Therefore, the effect of different D/L ratio is vague. The best interpretation is the one above "ultra light", "light", "medium weight", etc. Not as useful as many other ratios.

References
[Ref 1]: ISO 8666:2020