Barge Draft, Displacement, and Deck Load
Displacement at the light and loaded drafts, cargo carried, tons per inch of immersion, freeboard.
Example
You enter
- Barge length (ft) 195
- Beam (ft) 35
- Depth of hull (ft) 12
- Block coefficient Cb 0.95
- Light draft (ft) 1.5
- Loaded draft (ft) 8
- Water density in service (lb/cu ft) 64
- Fresh water density (lb/cu ft) 62.4
You get
- Light displacement 311 tons
- Loaded displacement 1660 tons
- Cargo carried 1349 tons
- Tons per inch of immersion 17.3 tons/in -- the loading foreman's number
- Sinkage the cargo produces 78
- Sinkage (ft) 6.5
- Freeboard at the loaded draft 4
- Same load in fresh water 8.21 ft -- 2.5 in deeper with nothing loaded
- Fresh water allowance (in) 2.46154
Details, formula, and sources
Displacement at the light and loaded drafts, cargo carried, tons per inch of immersion, freeboard, and the draft the same load produces in fresh water. The worked deck barge carries 1,349 tons at 17.3 tons/in and floats 2.5 in deeper up a river. Freeboard is reserve buoyancy, not spare capacity.
displacement = L x B x draft x Cb x water density / 2,000; TPI = L x B x Cb x density / (12 x 2,000); fresh-water draft = displacement x 2,000 / (L x B x Cb x fresh density).
Archimedes, with 64.0 lb/cu ft sea water and 62.4 lb/cu ft fresh. The barge's capacity plan, its load line, and its stability booklet govern.
Public hydrostatics; the vessel's own capacity plan is the controlling document.
Vessel master governs. Verify against the stability letter and USCG-approved loading manual.
Field names used by the API: barge_length_ft, beam_ft, depth_ft, block_coefficient, light_draft_ft, loaded_draft_ft, water_density_pcf, fresh_water_density_pcf, light_displacement_tons, loaded_displacement_tons, cargo_tons, tons_per_inch, sinkage_in, sinkage_ft, freeboard_ft, fresh_water_draft_ft, fresh_water_allowance_in
- Tons per inch treated as constant, which holds for a box-shaped hull across its working range and not for a shaped onespec-v1830 idealisation
- Block coefficient entered; a rake-ended deck barge runs about 0.90 to 0.97barge capacity plan