Weight-moment formulas
Item moment = item weight × station
Loaded LCG = total longitudinal moment ÷ total loaded weight
Correction moment = loaded weight × (target LCG − loaded LCG)
Required shift distance = correction moment ÷ movable weight
Enter the starting condition and onboard loads, then calculate.
Item moment = item weight × station
Loaded LCG = total longitudinal moment ÷ total loaded weight
Correction moment = loaded weight × (target LCG − loaded LCG)
Required shift distance = correction moment ÷ movable weight
Added trimming moment about LCF = Σ[added weight × (station − LCF)]
Change in trim = added trimming moment ÷ MCT 1 in (or MCT 1 cm)
A positive result in this tool means change by the bow; a negative result means change by the stern. It is the change in the difference between forward and aft drafts, not the change at either draft mark.
The origin can be the transom, aft perpendicular, or another documented point. Its physical location matters less than using it consistently for the base LCG, every load station, target LCG, and LCF.
Avoid double counting: The base boat weight and LCG describe one known starting condition. Enter only weights not already included in that condition.
The longitudinal center of flotation (LCF) is the approximate fulcrum for small trim changes. Moment to change trim one inch or centimeter (MCT 1 in / MCT 1 cm) changes with displacement and draft.
Use hydrostatic curves, a loading manual, or data from the designer for the relevant loading condition. If your source uses long-ton·ft/in, short-ton·ft/in, or tonne·m/cm, convert it to the exact unit displayed by the calculator.
A 5,200 lb starting boat has an LCG at station 11.2 ft. Added loads total 1,290 lb. Their combined moment, plus the starting boat's 58,240 lb·ft moment, produces:
Loaded LCG = 73,660 lb·ft ÷ 6,490 lb = 11.350 ft from the aft datum
Using an LCF at station 11.5 ft, the added loads create a net 585 lb·ft moment forward of the LCF. If valid loaded-condition MCT 1 in is 2,000 lb·ft/in, the estimated change in trim is 0.293 in by the bow. This does not include parallel sinkage or calculate individual draft changes.
Multiply every weight by its longitudinal station to obtain a moment, add the moments, and divide by total loaded weight. The result uses the same datum and direction as the entered stations.
MCT 1 in or MCT 1 cm is the vessel-specific moment required to change the difference between forward and aft drafts by one inch or centimeter. It varies with displacement and draft and normally comes from hydrostatic curves or approved loading information.
No. A calculated LCG only becomes meaningful when compared with the approved LCG range for that boat and loading condition. The tool cannot establish that range or assess freeboard, stability, strength, capacity, or operation in waves.
Use the center of gravity of the tank contents at their actual fill condition, plus the tank itself if its weight is not in the base condition. An irregular tank's contents center can move as it empties. Slack liquids also produce free-surface effects that this longitudinal calculation does not model.
No. Shifting an existing weight changes the center of gravity and creates a trimming moment but does not change total weight. Adding or removing weight changes both displacement and weight moment.
Dividing a total trim change between draft marks requires their locations relative to LCF. Added weight also creates parallel sinkage, which requires tonnes-per-centimeter or tons-per-inch immersion data. Weight entries alone are not enough.
No. The station system is longitudinal only. Transverse center of gravity, vertical center of gravity, metacentric height, free-surface corrections, righting arms, heel, and dynamic stability require additional vessel-specific data and methods.
Safety disclaimer: This educational planning tool is not a stability assessment, loading instrument, survey, certification, naval-architecture analysis, or operating advice. Use approved loading and hydrostatic data and consult the manufacturer or a qualified naval architect or marine engineer when the loading condition is uncertain.
Last reviewed: August 2, 2026. The moment, LCG, trim, and safe-loading explanations were checked against official educational and regulatory references: