Hull Displacement and Block Coefficient

A boat's displacement -- what it weighs, since by Archimedes it floats on the weight of water it pushes aside. The immersed L x B x draft box is filled only partway by the real hull shape, that fraction being the block coefficient Cb (~0.35-0.45 fine/planing, 0.40-0.60 full/work hull). Displacement volume = LWL x BWL x draft x Cb; weight = volume x water density (64.0 lb/ft^3 seawater, 62.4 fresh); long tons = weight/2,240. A 30 ft waterline, 10 ft beam, 4 ft draft hull at Cb 0.5 in seawater displaces 600 ft^3 = 38,400 lb = 17.1 long tons; fresh water floats it a touch deeper. A first-order block estimate for sizing ground tackle, a trailer, or a lift; the lines drawing integrated by Simpson's rule (or the builder's displacement table), the loaded trim, and the naval architect's hydrostatics govern the real value.

Run the calculator

Formula and source

displacement_ft3 = LWL x BWL x draft x Cb; displacement_lb = displacement_ft3 x water_density_pcf (64.0 seawater, 62.4 fresh); displacement_long_tons = displacement_lb / 2240.

Hull displacement by Archimedes' principle and the block coefficient (naval-architecture hydrostatics), by name; the lines drawing (Simpson's rule) and the naval architect's hydrostatics govern the exact value.

Audience

This tile is built for trades and the adjacent professions in the Mechanic - Auto, Marine, Aviation group. The interactive calculator runs entirely in your browser. No account, no fee, no advertising, no tracking.

Related tools

Posture

Rough Logic answers the math question the working professional asks on the job. The site is a calm, fast, ad-free, account-free, ever-free reference. It does not interpret code. It does not replace the licensed professional. It does not store your inputs. The Authority Having Jurisdiction governs all installations and inspections.