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Lightweight vs Deadweight: Displacement Explained

Contents

Displacement is the first number any naval architect writes down, and it governs everything that follows: stability, freeboard, charter value, and the cost of scrapping the hull at end of life. But “displacement” carries three distinct meanings in daily shipboard and commercial practice, and conflating them causes real errors: a draught survey short-charged by 1,000 tonnes, a scrap valuation 5% wide of the mark, or a ballast calculation that pins the vessel against its load-line mark in tropical waters. The three concepts are lightweight (LWT), deadweight (DWT), and loaded displacement, related by a single identity that every officer, surveyor, and shipbroker uses every day.

Δloaded=LWT+DWT\Delta_{loaded} = LWT + DWT

This article works through each term from its regulatory and measurement basis, explains how the load-line convention translates displacement into a permitted draught, and describes the draught survey as the operational tool that connects all three at sea.

The fundamental displacement identity

Archimedes’ principle states that a floating body displaces a mass of water equal to its own mass. For a ship at the Summer Load Line draught in salt water, that displaced mass is the loaded displacement, denoted Δ\Delta (the Greek capital delta, conventional notation in naval architecture). Loaded displacement is always expressed in metric tonnes (1 tonne = 1,000 kg) in commercial and regulatory practice.

Loaded displacement splits into exactly two components. The first is the lightweight: the mass of the ship itself, as if you drained every tank and stripped every item that can be loaded or discharged. The second is the deadweight: the total mass of everything loaded aboard. The relationship holds at every loading condition, not just the Summer Load Line. At the ballast departure condition:

Δballast=LWT+DWTballast\Delta_{ballast} = LWT + DWT_{ballast}

where DWTballastDWT_{ballast} is the sum of ballast water, bunkers, fresh water, and stores actually aboard, with no cargo. At intermediate loading the same identity holds with whatever mix of cargo, bunkers, and ballast is in the tanks. The identity is definitional and exact. There is no approximation and no correction factor.

The formula-card below gives the computation path for loaded displacement from Simpson’s integration of the waterplane areas, as used in the hydrostatic tables:

=h3(A0+4A1+2A2++An)\nabla = \frac{h}{3} (A_0 + 4 A_1 + 2 A_2 + \ldots + A_n)
SymbolMeaningUnit
AiA_iSection area at station i
hhStation spacingm
Displacement volume

Source: Derrett & Barrass Ch.5

Calculate Simpson's 1st Rule →

Lightweight: the ship as built

Regulatory and class definition

Lightweight, also written LWT or LDT (light displacement tonnage), is the displacement of the ship with no cargo, fuel, ballast, fresh water, stores, or crew aboard, but with the following included at specified working levels: lubricating oil and hydraulic oil in their systems, water in boilers and cooling circuits to working levels, and fluids in piping that cannot be drained by normal means. These inclusions are specified in IACS UR Z10.1 (Procedure for Lightship Survey) because they are permanently in the ship and not dischargeable as part of commercial operations.

IACS UR Z17 (Requirements for Inclining Test and Lightweight Check) defines exactly what shall be aboard during the inclining experiment: the ship shall be in a condition as close to the designed lightship condition as practicable. Items not in lightship condition must be accurately recorded and allowed for in the calculation. The class surveyor witnessing the experiment signs off on the list of excesses (items aboard but not in lightship) and deficiencies (items absent but part of lightship) before accepting the result.

Physical composition

Lightweight breaks into three structural components, with typical fractional ranges for merchant vessels:

ComponentTypical fraction of LWTContent
Steel weight60% to 75%Hull plating, frames, web frames, bulkheads, decks, superstructure shell
Outfit weight15% to 25%Accommodation, piping, electrical, ventilation, deck equipment, hatches
Machinery weight8% to 18%Main engine, auxiliary engines, gearbox, shafting, propeller, ancillaries

These fractions shift with vessel type. A crude oil tanker’s machinery weight runs toward 12% because the main engine is relatively small compared to the hull. A passenger ship has outfit weight above 30% because of the accommodation superstructure. A bulk carrier stays close to the middle of each range.

The design weight estimate is built from structural drawings, equipment datasheets, and outfit specifications. Experienced yards achieve estimates within ±2% of the verified inclining result. That 2% residual on a 20,000-tonne lightship is 400 tonnes: large enough to shift the Summer Load Line draught by 10 to 15 cm on a Capesize bulker, which is why the inclining experiment rather than the estimate governs.

Constants

Constants are the difference between the lightship displacement derived from the official lightship condition at any later draught survey and the declared lightweight in the Stability Booklet. In practice, constants accumulate from items permanently bolted to the ship after delivery that were not in the original weight estimate: additional liferaft cradles fitted after a survey deficiency, a modified mooring winch, extra insulation added during a port-state inspection. Constants typically run 0.5% to 1.5% of LWT for well-managed vessels and drift upward over a ship’s life unless tracked.

Class society lightweight surveys, carried out at 5-year class renewal surveys or after major modification per IACS UR Z10.1, verify that the declared LWT remains accurate. The surveyor computes the lightweight from the measured draughts, hydrostatic tables, and the known masses of all liquids aboard, then compares it to the declared LWT plus accumulated constants. A discrepancy above the class threshold triggers a recalculation and update of the Stability Booklet.

Why lightweight matters commercially

Lightweight is the basis for scrap valuation at end of life. Recycling yards in Alang (India), Chittagong (Bangladesh), and Gadani (Pakistan) buy vessels by the light displacement tonne. In mid-2025 the indicative cash buyer rate for Indian sub-continent demolition was approximately USD 490 to USD 530 per LDT for non-hazardous general cargo tonnage; a Capesize bulker with a LWT of 24,000 tonnes realises approximately USD 11.8 to 12.7 million at those rates. Turkey’s cash rates ran USD 100 to USD 120 per LDT below the sub-continent at the same time. The vessel scrap price calculator converts a confirmed LWT and regional rate into the expected demolition proceeds.

LWT also governs the Hong Kong Convention on Ship Recycling applicability. The Convention applies to ships of 500 GT or above whose LWT exceeds 500 tonnes, an unusual dual threshold that required shipowners to track both measures.

Deadweight: everything the ship carries

Deadweight is not itself a regulatory concept in the load-line convention. What the International Convention on Load Lines 1966 and its 1988 Protocol govern is the minimum freeboard: the distance between the waterline and the freeboard deck, computed by the formula in Annex I of the Convention as a function of ship length, ship type, and applicable corrections for sheer, superstructure, camber, and depth. The freeboard determines the maximum permissible draught at each seasonal and zonal mark. Deadweight is then the consequence: the mass the vessel can carry up to that draught above its lightweight.

The direct connection is:

DWTsummer=ΔsummerLWTDWT_{summer} = \Delta_{summer} - LWT

where Δsummer\Delta_{summer} is the loaded displacement read from the hydrostatic tables at the Summer Load Line draught in salt water (density 1.025 t/m³). This is the contract deadweight, the number in the newbuilding specification and charterparty. It is certified by the flag administration or a recognized organization on the International Load Line Certificate issued under the Convention.

The 1988 Protocol brought the load-line regime under the harmonized system of survey and certification introduced by the SOLAS 1988 Protocol, so that the International Load Line Certificate, the Safety Construction Certificate, and the Safety Equipment Certificate share survey dates and a single renewal cycle. The substantive freeboard calculations remain those of the 1966 Convention.

Load-line zones and seasonal marks

The Convention does not specify a single permitted draught. It specifies a summer freeboard and then adjusts by zone and season. The Plimsoll circle (the round disc on the ship’s side, amidships) carries:

  • S (Summer): the baseline maximum draught.
  • W (Winter): approximately 1/48 of the summer draught above the Summer mark. Winter zones are defined in Annex II of the Convention.
  • T (Tropical): approximately 1/48 of the summer draught below the Summer mark.
  • F (Fresh Water): the Summer mark adjusted for the reduced buoyancy of fresh water, computed as FWA=Δ/(4×TPC)FWA = \Delta / (4 \times TPC) where Δ\Delta is displacement in tonnes and TPC is tonnes per centimetre at the summer waterplane. The Fresh Water Allowance calculator computes this directly.
  • TF (Tropical Fresh Water): F plus the tropical allowance.
  • WNA (Winter North Atlantic): an additional winter mark for small vessels operating north of 60°N.

The Load Line seasonal marks calculator identifies which mark applies for a given voyage zone and date. Loading to T in a Summer zone, or to S in a Winter zone, is a statutory violation under the flag-state’s load-line regulations and grounds for port-state detention.

Composition of deadweight

Deadweight at the Summer Load Line comprises, in descending commercial importance:

Cargo: the payload the ship earns revenue on. For a full-loaded Capesize bulker at 180,000 DWT, the cargo intake after deducting consumables is typically 165,000 to 172,000 tonnes depending on the fuel state.

Fuel oil (HFO/VLSFO): ocean-going vessels carry 1,500 to 8,000 tonnes of heavy fuel oil or very-low-sulphur fuel oil depending on main engine consumption and voyage length. A Capesize on a 16-day Australia-to-China iron-ore run at 14 knots burns roughly 55 to 65 tonnes per day at sea, consuming about 900 to 1,050 tonnes of fuel against a capacity of 3,500 tonnes.

Marine gas oil (MGO): typically 100 to 800 tonnes for maneuvering, port operations, and ECA compliance zones under MARPOL Annex VI Regulation 14.

Lubricating oil: typically 80 to 400 tonnes in the lube-oil storage tanks, separate from the small quantity in machinery piping that is counted in lightweight.

Fresh water: typically 100 to 500 tonnes for domestic and technical use, with the technical allowance (boiler feedwater, cooling top-up) dominating on tankers.

Ballast water: in full-load condition, ballast tanks are empty or at minimum. In ballast condition, ballast water fills 30% to 55% of the deadweight, typically 60,000 to 100,000 tonnes for a Capesize.

Stores, provisions, and spare parts: 50 to 200 tonnes, with the upper end on ships with large crews or long between-port intervals.

Crew and effects: small, rarely above 10 to 15 tonnes for even the largest crews.

Deadweight cargo capacity (DWCC)

The deadweight cargo capacity (DWCC) is the cargo-only component of deadweight at a specified departure condition. It is defined by the charter party or the port captain’s departure plan:

DWCC=DWTsummerMfuelMballastMFWMlubMstoresMcrewDWCC = DWT_{summer} - M_{fuel} - M_{ballast} - M_{FW} - M_{lub} - M_{stores} - M_{crew}

For a Capesize bulker on a full-laden iron-ore voyage, typical DWCC runs 165,000 to 172,000 tonnes: about 92% to 96% of the contract DWT. The remaining 4% to 8% is fuel and consumables. Operators and cargo surveyors treat the DWCC rather than the DWT as the commercial cargo figure. A voyage fixture specifying 180,000 metric tons of iron ore onto a 180,000 DWT Capesize is physically impossible unless the vessel departs with near-empty fuel tanks.

Vessel-type deadweight ranges

Vessel typeRepresentative DWTLWT (t)DWT/LWT ratio
Handysize bulker35,0009,5003.7
Supramax bulker60,00014,5004.1
Capesize bulker180,00024,0007.5
Handysize tanker40,00011,5003.5
Aframax tanker110,00020,0005.5
VLCC300,00038,0007.9
Post-Panamax container110,000 DWT / 8,500 TEU25,0004.4
Ultra-large container240,000 DWT / 24,000 TEU50,0004.8
LNG carrier (174,000 m³)90,00036,0002.5
Cruise ship14,00090,0000.16

The cruise ship row is the sharpest contrast. Displacement is driven by accommodation volume; commercial deadweight is negligible. The DWT/LWT ratio of 0.16 is the structural inversion of a bulk carrier at 7.5. This is why GT, not DWT, governs port dues and passenger-ship regulations for cruise tonnage.

Tonnage versus weight: the GT/NT distinction

Why GT and NT are not deadweight

The International Convention on Tonnage Measurement of Ships 1969 (Tonnage 1969) establishes gross tonnage (GT) and net tonnage (NT) as dimensionless numbers, not masses. GT is computed as:

GT=K1VGT = K_1 \cdot V

where VV is the volume in cubic metres of all enclosed spaces and K1=0.2+0.02log10VK_1 = 0.2 + 0.02 \log_{10} V. NT depends on GT, cargo space volume VcV_c, and the ratio of moulded draught to depth:

NT=K2Vc(4d3D)2+K3(N1+N2/10)NT = K_2 \cdot V_c \cdot \left(\frac{4d}{3D}\right)^2 + K_3 \cdot (N_1 + N_2 / 10)

where K2=0.2+0.02log10VcK_2 = 0.2 + 0.02 \log_{10} V_c, K3=1.25(GT+10,000)/10,000K_3 = 1.25 \cdot (GT + 10{,}000) / 10{,}000, dd is the moulded summer draught, DD the moulded depth, N1N_1 the number of passengers in cabins with more than 8 berths, and N2N_2 all other passengers. The IMO Tonnage 1969 calculator works through these formulae.

GT and NT carry no unit. They are pure numbers, derived from volumes, not from the weight of anything. This distinction matters because:

  • Port dues are levied per GT, not per tonne. A vessel’s port call cost is thus anchored to enclosed volume, not to cargo weight.
  • Suez and Panama canal transit dues are assessed on a modified “Suez Canal net tonnage” and “Panama Canal tonnage” respectively, both volume-derived and distinct from Tonnage 1969 NT.
  • Crew manning rules under SOLAS Chapter V often set thresholds at specific GT values.
  • MARPOL Annex VI EEXI and CII regulations use GT (not DWT) as the capacity basis for passenger ships, ro-ro cargo ships, and ro-ro passenger ships; DWT applies to bulk carriers, tankers, container ships, gas carriers, and general cargo ships. The DWT vs GT capacity basis calculator identifies which applies to a given ship type and regulation.

The four-way comparison

MeasureUnitWhat it representsGoverning instrument
Lightweight (LWT/LDT)metric tonnesMass of ship as built, no cargo or consumablesIACS UR Z17, class rules, Stability Booklet
Deadweight (DWT)metric tonnesMaximum load above LWT to Summer Load LineICLL 1966 + 1988 Protocol, International Load Line Certificate
Loaded displacementmetric tonnesTotal mass of ship + all contents at given draughtHydrostatic tables, draught survey
Gross tonnage (GT)dimensionlessEnclosed volume measure per Tonnage 1969 formulaInternational Convention on Tonnage Measurement 1969
Net tonnage (NT)dimensionlessCargo-space volume measure per Tonnage 1969 formulaInternational Convention on Tonnage Measurement 1969

There is no reliable conversion between DWT and GT across different vessel types. Bulk carriers run roughly GT/DWT = 0.55 to 0.65; tankers 0.50 to 0.60; container ships 0.60 to 0.75; passenger ships can exceed GT/DWT = 6. Any rule of thumb that claims to convert between them is approximate by at least 20%.

The inclining experiment: measuring lightweight at delivery

Purpose and timing

The inclining experiment is the only method that directly measures the lightship displacement and the vertical position of the centre of gravity (KG) with documented accuracy. Class rules require it at first delivery and after modifications that alter the lightship displacement by more than 2% or the KG by more than 1% of the ship’s depth. IMO MSC-MEPC.6/Circ.9 (2012) gives guidance on the experiment for large cruise ships and other complex vessels; IACS UR Z17 specifies the minimum requirements applicable across all ship types.

The experiment must be witnessed by a flag-state surveyor or recognized organization surveyor. The results enter the approved Stability Booklet as the lightship data on which all subsequent loading computer calculations depend.

Procedure

A full inclining experiment works as follows. The ship is moored in calm, sheltered water with as little wind as possible (the IACS guidance targets maximum 15-knot wind). All permanent items must be in their lightship position; all excess items (yard workers, unnecessary equipment, staging) must be removed; all tanks must be measured.

Known masses, typically 4 to 6 pairs of shifting weights totalling at least 1% of the estimated displacement, are moved transversely in sequence. Each shift produces a measurable heel angle, recorded with pendulums (minimum 3 metres in length) or, increasingly, digital inclinometers. The basic relationship is:

GM=wdΔtanθGM = \frac{w \cdot d}{\Delta \cdot \tan\theta}

where ww is the shifted mass, dd the transverse distance moved, Δ\Delta the displacement at the time of the experiment, and θ\theta the resulting heel angle. GM is computed from the mean of multiple measurements; GG’ corrections for free-surface effects in partially filled tanks are applied; KM is read from the hydrostatic tables at the measured mean draught; and KG is derived as KG = KM minus GM.

The GM from inclining experiment calculator carries out this computation. The inclining check variant handles the simpler lightweight check (not a full experiment) permitted at periodic surveys.

Corrections and uncertainties

The displacement at the time of the experiment is not the lightship. The surveyor measures all liquids aboard with sounding tapes or ullage sticks, records their densities and the dock water density, and computes a displacement at the time of the experiment. From this, the excess masses (items aboard that are not part of lightship) are deducted and the deficiency masses (items absent that are part of lightship) are added. The result is the verified lightship displacement.

IACS UR Z17 requires that the total of excess and deficiency masses not exceed 2% of the estimated lightship displacement; beyond that the uncertainty in the corrections degrades the result below acceptable accuracy. In practice, yards take care to strip the ship of workers and equipment before the experiment precisely to keep this ratio small.

The constants (the difference between the calculated and the measured lightship) are recorded in the Stability Booklet and carried through all subsequent loading calculations. A typical delivery lightship check for a Capesize shows constants of 150 to 350 tonnes, consistent with minor differences between the design weight estimate and the as-built vessel.

TPC and the deadweight scale

Tonnes per centimetre immersion

The tonnes per centimetre immersion (TPC) at any waterplane is the mass that must be added to (or removed from) the vessel to change its mean draught by exactly 1 cm, computed as:

TPC=AWPρ100TPC = \frac{A_{WP} \cdot \rho}{100}

where AWPA_{WP} is the waterplane area in square metres and ρ\rho is the water density in t/m³ (1.025 for sea water, 1.000 for fresh water). At the Summer Load Line waterplane of a 180,000 DWT Capesize, the TPC is typically 130 to 145 t/cm. Loading 1,000 tonnes of cargo onto such a vessel increases draught by 6.9 to 7.7 cm.

The TPC calculator and the TPC from waterplane Simpson’s Rule calculator compute this from waterplane geometry. The hydrostatic tables tabulate TPC at every draught from keel to maximum.

The deadweight scale

The deadweight scale is a graphical or tabular presentation that pairs displacement (or draught) on one axis with deadweight on the other, for a specific vessel at Summer Load Line density (1.025 t/m³). It is a direct consequence of the fundamental identity: as draught increases from the lightship waterline to the Summer Load Line, the deadweight increases from zero to the maximum certified DWT.

For a vessel whose lightship draught is 8.50 m and whose Summer Load Line draught is 17.50 m, the deadweight scale spans 9.0 m of draught and must be read against the hydrostatic tables to give displacement at each draught. The difference in displacement between any intermediate draught and the lightship draught is the deadweight at that condition. Officers use the deadweight scale during cargo planning to confirm that the planned stowage falls within the permitted range before the ship departs.

Draught survey: measuring cargo by displacement difference

Method overview

The draught survey is the commercial measurement method used to determine the mass of bulk cargo transferred during a loading or discharge operation. It doesn’t weigh the cargo directly. Instead it measures the ship’s displacement before and after the operation, subtracts deductibles (bunker change, ballast change, fresh water change, stores change), and attributes the residual to cargo.

The method is governed by UNECE Trade/WP.6/2006/3 (International Recommendations for Draught Survey of Solid Bulk Cargoes), which establishes the procedural standard internationally accepted for Letters of Credit and cargo claims. Many flag states and charterers adopt UNECE WP.6/2006/3 by reference.

The six-draught observation

Six draught marks are read by the cargo surveyor at the ship’s side: forward port (FP), forward starboard (FS), midship port (MP), midship starboard (MS), aft port (AP), and aft starboard (AS). The midships marks are read as closely as possible to the amidships hydrostatic frame. All six readings are taken as quickly as practicable (within 20 minutes in calm conditions) to minimize sinkage during the survey.

The quarter-mean draught, the effective draught for entering the hydrostatic tables, is:

DQM=Fmean+6Mmean+Amean8D_{QM} = \frac{F_{mean} + 6 \cdot M_{mean} + A_{mean}}{8}

where FmeanF_{mean}, MmeanM_{mean}, and AmeanA_{mean} are the mean forward, midship, and aft draughts respectively. The quarter-mean weights the midship reading six times because the waterplane area is widest there; the formula is a numerical approximation to the centroid of the waterplane area between the perpendiculars.

Trim and deflection corrections

The hydrostatic tables are constructed for an even-keel condition. When the vessel is trimmed (deeper at one end), the displacement read from the tables at the quarter-mean draught is not quite the true displacement; a trim correction is needed. The Morrish correction (also called the Muckle correction) adjusts for the shift of the centre of buoyancy relative to the midship section:

Trim correction=(FmeanAmean)TPCLCFLBPTrim\ correction = \frac{(F_{mean} - A_{mean}) \cdot TPC \cdot LCF}{L_{BP}}

where LCF is the longitudinal distance of the centre of flotation from amidships (positive aft) and LBPL_{BP} is the length between perpendiculars. For a trim of 1.0 m on a 280-metre Capesize with LCF at 5 m aft of midships, the correction runs about 30 to 40 tonnes, non-negligible against a 165,000-tonne cargo.

A second-order trim correction (the Hogging/Sagging or “second trim correction”) accounts for the curvature of the keel line. Ships in full-load condition typically sag (the midship keel is lower than the line joining fore and aft keel marks), while in ballast they hog (midship keel is higher). The deflection is measured by comparing the midship draught reading to the average of the fore and aft readings; the correction adjusts the effective displacement by the volume of the wedge formed by the curved keel.

Dock water density, measured by a calibrated hydrometer at the ship’s side at mid-depth, provides the final displacement correction. Dock water may be fresh (1.000 t/m³ in river ports), brackish (1.005 to 1.015 t/m³ in estuaries), or salt (1.025 t/m³). Displacement at the hydrostatic tables density is multiplied by ρdock/1.025\rho_{dock} / 1.025 to give actual displacement.

Deductibles and the cargo mass

The net cargo mass loaded is:

Mcargo=(ΔafterΔbefore)ΔconstantsΔbunkersΔballastΔFWΔstoresM_{cargo} = (\Delta_{after} - \Delta_{before}) - \Delta_{constants} - \Delta_{bunkers} - \Delta_{ballast} - \Delta_{FW} - \Delta_{stores}

Each deductible is measured independently. Bunker soundings before and after loading give the fuel change; ballast tank ullages give the ballast change; fresh water tank soundings give the FW change. Constants (the declared LWT correction for the vessel) are taken from the Stability Booklet.

The result is the “outturn cargo” for billing purposes. When the shore conveyor’s belt-scale total and the draught survey result disagree by more than 0.5%, the charter party typically specifies which governs; for iron ore and coal, the draught survey result often takes precedence because belt scales are calibrated for standard materials and can drift by 0.3% to 1.0% across a campaign. A detailed walkthrough of the full procedure is in the cargo draught survey wiki article.

The freeboard-deadweight design relationship

How freeboard determines maximum DWT

The International Convention on Load Lines 1966 Annex I gives the tabulated minimum freeboard for Type A and Type B ships as a function of ship length (L), with corrections for block coefficient, depth-to-length ratio, sheer, superstructure, and hatch covers. Type A vessels (tankers designed to carry liquid cargo in bulk, with high subdivision and small cargo access openings) receive the lowest freeboard because they have the highest inherent reserve buoyancy from their closed cargo spaces. Type B vessels (all others) receive a higher freeboard. Type B-60 and B-100 intermediate concessions exist for ships meeting specific subdivision standards.

Given the structural design that fixes hull depth, the minimum freeboard dictates the summer draught and therefore the loaded displacement at that draught. Subtracting the established lightweight gives the maximum DWT. This is why newbuilding specifications negotiate freeboard reductions with the flag administration at the design stage: every centimetre of freeboard concession adds approximately TPC centimetres worth of cargo capacity. On a Capesize at TPC = 138 t/cm, a 5-cm freeboard concession is worth 690 tonnes of DWT.

Block coefficient (CBC_B) affects both the freeboard calculation and the waterplane area. The freeboard correction for block coefficient applies when CBC_B exceeds 0.68: a reduction in freeboard is applied, calculated from the tabulated base freeboard multiplied by (CB+0.68)/1.36(C_B + 0.68) / 1.36. This means full-form vessels (high CBC_B) get a favorable reduction, reflecting their lower risk of wave flooding. The block coefficient wiki covers the hydrostatic geometry in detail.

The relationship runs in both directions. High CBC_B increases displacement at the same draught (more hull volume below water), which increases the accessible DWT. High CBC_B also typically increases the waterplane area, which increases TPC, which means each centimetre of draught change brings more deadweight. Full-form bulk carriers exploit this geometry: the Valemax ore carriers at 400,000 DWT have CBC_B values above 0.84.

Freeboard deck and tonnage deck

One frequent point of confusion: the freeboard deck (the uppermost continuous weathertight deck, from which freeboard is measured) is not the same concept as the “tonnage deck” in the older Moorsom tonnage system. Under Tonnage 1969 all enclosed spaces on and above and below the freeboard deck count toward V (subject to the Suez/Panama deductions) and GT is computed from V alone. Freeboard and GT are coupled through the ship’s geometry, but there is no formula connecting them directly, only the hull shape itself.

The IMO intact stability connection

Why KG matters alongside DWT

Loading to the Summer Load Line says nothing about whether the ship is stable. The IMO Intact Stability Code (2008 IS Code, adopted by resolution MSC.267(85)) sets minimum stability criteria entirely separate from the load-line convention. The key criterion for most cargo ships under the IS Code is:

  • Righting lever (GZ) at 30° heel not less than 0.20 m.
  • Maximum GZ at an angle not less than 25° (30° for fishing vessels).
  • Area under the GZ curve from 0° to 30° not less than 0.055 m-rad.
  • Area from 0° to 40° not less than 0.090 m-rad.

These criteria depend on GM at the departure condition, which depends on KG. KG is the height of the centre of gravity above the keel. It rises as cargo is loaded into upper holds and falls as ballast is loaded into the double-bottom tanks. A Capesize loading dense iron ore into lower holds achieves good stability with ample GM; the same vessel loading light grain with full upper holds may need ballast to satisfy the IS Code criteria even when perfectly legal under the load line.

The loading computer runs both the draught/displacement check (load-line compliance) and the stability check (IS Code compliance) simultaneously. The two constraints interact: in some loading conditions, a vessel might be below its Summer Load Line but failing minimum GM; in others, it might have excess GM (negative for intact stability in a stability positive sense is not an issue, but excess GM causes violent rolling in waves). Trim optimization can improve seakeeping without changing displacement. The trim and list wiki covers the operational management of trim; the intact stability wiki covers the full IS Code framework.

Free surface effect on KG

The free-surface effect (FSE) increases the effective KG by an amount that depends on the second moment of area of the liquid surface in each tank. For a ballast tank partially filled during a cargo voyage, FSE can add 0.3 to 0.8 m to the effective KG on a Capesize, a non-trivial reduction in effective GM. This is why officers pump ballast tanks to either full or empty rather than operating them at part-fill when stability is marginal. The free surface effect wiki covers the geometry and the correction formula.

Practical implications for ship operations

Cargo planning: working backward from the load line

Port captains and chief officers plan a departure condition by starting from the maximum permitted draught (the applicable load-line mark for the voyage zone) and working backward:

  1. Read the displacement from the hydrostatic tables at the departure draught.
  2. Subtract the lightship (from the Stability Booklet).
  3. Result is the departure DWT available.
  4. Subtract planned bunkers for the voyage (consumption rate times distance times safety margin, typically 20% above the route consumption).
  5. Subtract ballast water planned for the condition.
  6. Subtract fresh water planned for the voyage (daily consumption times days at sea).
  7. Subtract stores and constants.
  8. Residual is the maximum cargo available.

If the result is less than the chartered cargo quantity, one of the deductibles must be reduced (typically initial bunkers, relying on bunkering at an intermediate port), or the owner invokes a dead freight clause.

The DWT-to-GT relationship in commercial documents

Charter parties express the vessel’s capacity in DWT. Port-state and flag-state statutory certificates use GT as the primary measure. Cargo insurance and Bills of Lading may use either. The hydrostatics and Bonjean wiki covers how the hydrostatic tables that underpin all displacement calculations are constructed; the tonnage measurement wiki covers GT and NT computation in detail.

Fuel-oil as a deadweight category and CII

Bunkers occupy deadweight. Under IMO MARPOL Annex VI Regulation 28 and CII rating guidelines, a vessel’s Carbon Intensity Indicator is calculated from fuel consumption divided by a transport-work denominator. For bulk carriers, that denominator is DWT times nautical miles. This means the numerically correct DWT in the ship’s CII reporting is the contract (certified) DWT, not the actual loaded condition. Misreporting DWT by substituting a lower “effective DWT” to improve the CII rating is a MARPOL violation.

Limitations of the measures

Lightweight is not static. Every modification after delivery changes LWT. Owners who fail to update the Stability Booklet after adding an exhaust gas cleaning system (scrubber), a ballast water treatment system, or additional safety equipment are operating with an incorrect lightship and incorrect DWT. The mass of a typical scrubber installation on a Capesize runs 80 to 200 tonnes; that directly reduces the available cargo deadweight by the same amount.

Contract DWT is a salt-water value. The certified Summer DWT assumes salt water at 1.025 t/m³. In fresh-water ports (many river terminals) the vessel floats deeper for the same mass, so the freshwater allowance must be applied and the voyage departure condition adjusted. Ignoring the FWA in a fresh-water port means the vessel is technically overloaded at the load-line mark even if its freshwater draught appears normal.

Draught survey accuracy is bounded. Even with correctly applied trim, deflection, and density corrections, draught surveys carry an uncertainty of ±0.3% to ±0.5% of the cargo quantity under ideal conditions (calm water, accurate hydrostatics, precise density measurement). At 165,000 tonnes of iron ore, that 0.3% uncertainty is 495 tonnes, enough to generate a commercial dispute. Discrepancies between draught survey and belt-scale outturn are common and the subject of a substantial body of P&I club arbitration guidance.

GT does not bound stability. A high-GT vessel is not necessarily stable. The IS Code stability criteria are independent of tonnage. A cruise ship at 160,000 GT may have marginal GM in a lightship condition with high-GT superstructure, which is why passenger ship IS Code assessments are among the most scrutinized class documents.

Deadweight-class boundaries shift with age. Vessel classes (Capesize, Panamax, Suezmax, etc.) are defined by deadweight ranges or physical constraints (beam, draught, air draught). An older Capesize certificated at 165,000 DWT is technically Capesize by modern freight market convention even though newer Capesizes run 180,000 to 210,000 DWT. When quoting DWT for commercial purposes, the certified contract DWT from the International Load Line Certificate applies, not any rounded or nominal figure.

LWT is not the recycling price. The LWT is the weight base; the LDT rate per tonne varies with global steel prices, currency movements, the proportion of non-ferrous metals and equipment, and regulatory compliance costs (hazardous-material removal under the Hong Kong Convention). A vessel with extensive copper alloy piping (common in older steam tankers) commands a small premium over the standard carbon-steel LDT rate.

See also

Calculators verified by file system check

Frequently asked questions

What is the difference between lightweight and deadweight?
Lightweight (LWT or LDT) is the weight of the ship as built, including hull steel, machinery, permanent equipment, and liquids in systems at working levels, but excluding all consumables and cargo. Deadweight (DWT) is everything the ship carries above that lightweight up to its maximum draught at the Summer Load Line: cargo, fuel, ballast water, fresh water, stores, crew and effects. Displacement equals LWT plus DWT.
Is deadweight the same as cargo capacity?
No. Deadweight is the total mass the ship can carry above its lightweight. Cargo deadweight (also called deadweight cargo capacity, DWCC) is what remains after subtracting bunkers, ballast water, fresh water, stores, and crew effects from the total deadweight. A 180,000 DWT Capesize bulker typically has a cargo intake of around 165,000 to 170,000 tonnes, with the balance consumed by fuel, fresh water, and stores.
How is lightweight determined?
Lightweight is determined by the inclining experiment carried out at delivery by a recognized class society surveyor per IACS UR Z17. Known masses (typically 4 to 6 pairs of shifting weights) are moved transversely and the resulting heel angle is measured with pendulums or digital inclinometers. GM is computed; the lightship displacement is read from the hydrostatic tables at the measured draught, corrected for trim, density, and the masses still aboard. The verified value is recorded in the Stability Booklet and repeated after any major modification.
What is the relationship between displacement, draft, and load-line marks?
Displacement is the mass of water displaced by the hull and equals LWT plus DWT. As deadweight is added the ship sinks deeper: each centimetre of sinkage corresponds to the TPC (tonnes per centimetre immersion) at that waterplane. The Summer Load Line is the maximum permitted draught at the corresponding load-line zone; loading beyond it is unlawful under the International Convention on Load Lines 1966. Seasonal and zonal marks (W, T, F, TF, WNA) adjust the permitted draught for weather, latitude, and water density.
What is the difference between deadweight tonnage and gross tonnage?
Deadweight tonnage (DWT) is a weight measure in metric tonnes describing how much mass the ship can carry. Gross tonnage (GT) is a dimensionless volumetric measure of the ship's enclosed spaces, computed per the International Convention on Tonnage Measurement of Ships 1969 (Tonnage 1969) as V multiplied by K1, where K1 = 0.2 + 0.02 log10 V. GT governs port dues, safety certificate fees, crew manning rules, and many statutory thresholds. DWT governs commercial chartering and cargo economics. The two cannot be converted by a single factor; a VLCC at 300,000 DWT has a GT of roughly 160,000 while a cruise ship at 90,000 GT has a DWT of only about 14,000.
How does a draught survey measure cargo using displacement?
A draught survey reads the ship's six draughts (forward, midship, and aft, both sides) before and after loading or discharge. The quarter-mean draught is computed, the displacement is extracted from the hydrostatic tables at that draught, then corrected for trim, deflection (hog or sag), and the actual density of the dock water measured by hydrometer. The difference in displacement between the two conditions, minus the constants and the change in deductibles (bunkers, ballast, fresh water, stores), gives the cargo mass transferred. The method is detailed in UNECE Trade/WP.6/2006/3 and governed by ASTM D1298 for density.