Equivalent units
Physically equivalent metric and imperial vessel inputs produce the same ratios within rounding.
Created by: Daniel Hayes
Last updated:
Calculate conventional SA/D, D/L, ballast ratio, capsize screening formula, and comfort ratio with metric/imperial normalization.
Calculate five descriptive empirical yacht ratios with explicit unit and displacement-condition conventions.
This calculator normalizes vessel inputs and applies five conventional yacht formulas.
The outputs describe entered dimensions and conventions; they do not classify stability, comfort, capsize risk, offshore capability, or seaworthiness.
Metric values convert to feet, pounds, and square feet.
The same normalized inputs feed SA/D, D/L, ballast, capsize-screening, and comfort formulas.
D/L = long tons ÷ (0.01LWL ft)³
Ballast ratio = ballast ÷ displacement
Capsize screening = beam ft ÷ (displacement lb ÷ 64)^(1/3)
Displacement must state whether it is lightship, design, half-load, or loaded cruising condition. Stores, tanks, crew, and equipment can materially change every displacement-based ratio.
Sail area must state whether it is actual working sail, main plus foretriangle, rated area, or another convention.
LWL, LOA, and beam must come from the same configuration and measurement basis.
Ballast input should distinguish fixed ballast from movable water, crew weight, or other righting effects that the simple ratio does not represent.
Physically equivalent metric and imperial vessel inputs produce the same ratios within rounding.
SA/D relates entered sail area to displacement volume but does not calculate acceleration, reefing need, or heeling force.
D/L is a length-normalized displacement descriptor; it is not a speed, strength, or payload rating.
Ballast ratio ignores ballast location, hull form, stability curve, free-surface effects, and structural attachment.
Capsize-screening and comfort formulas are legacy descriptive indexes, not probabilities, certifications, or safe/offshore thresholds.
Normalize vessel conditions before comparing two boats. A loaded boat should not be compared with another boat’s brochure lightship numbers.
Treat large differences as prompts to study full design data rather than as rankings.
Use stability information, design category, survey, structure, systems, maintenance, crew, and intended service for real decisions.
Match loaded condition.
Match sail-area convention.
Use full stability and design data for real decisions.
No. They are descriptive empirical formulas and cannot assess stability curves, structure, watertight integrity, steering, rig, equipment, crew, maintenance, loading, weather, or seaworthiness.
Lightship versus loaded displacement and working versus rated sail area can materially change the ratios. Compare boats only with matched conventions.
Yes when physically equivalent inputs are converted correctly. The calculator normalizes to feet, pounds, and square feet before applying the conventional formulas.
It is a legacy beam/displacement formula result, not a capsize probability or stability certificate.