Fresh Water Allowance (FWA) Calculator

A comprehensive suite for ship stability and load line calculations. Designed for Deck Officers, maritime students, and cargo surveyors.

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Purpose: Calculate the Fresh Water Allowance (FWA)—the distance the vessel's draft changes when moving between Salt Water (1.025) and Fresh Water (1.000).

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Enter displacement and TPC/TPI to see the result

⚙️ How to Use

Step 1: Displacement

Enter the ship's current displacement in metric tonnes or tons.

Step 2: TPC or TPI

Input the Tonnes Per Centimeter (TPC) or Tons Per Inch (TPI) from the ship's hydrostatic scales.

Step 3: Result

The calculator will provide the Fresh Water Allowance in mm, cm, meters, and inches.

Pro Tip: Use a certified hydrometer to measure dock water density. Even small variations can impact your vessel's draft and safety margins.

📘 Formula Reference

Fresh Water Allowance (FWA)

Metric: FWA (mm) = W / (4 × TPC)

// W = Displacement (tonnes), TPC = Tonnes Per Centimeter


Imperial: FWA (inches) = W / (40 × TPI)

// TPI = Tons Per Inch

Dock Water Allowance (DWA)

DWA = FWA × (1.025 - RD) / 0.025

// RD = Measured Dock Water Density

Draft Change

Change = [(RD₁ - RD₂) × FWA] / 0.025

// RD₁ = Initial RD, RD₂ = Target RD

// Pos (+) = SINKING, Neg (-) = RISING

Standard Densities

Sea Water1.025
Fresh Water1.000

🎓 Exam-Style Examples

Mastering Fresh Water and Dock Water Allowances

When a commercial vessel transitions between the open ocean and inland river ports, the density of the water changes significantly. Because fresh water is less dense than salt water, a ship will physically sink deeper into fresh water even though no extra cargo was loaded. To ensure a vessel does not accidentally submerge its legal load line marks upon returning to sea, Chief Officers must calculate the Fresh Water Allowance (FWA) and Dock Water Allowance (DWA). Our comprehensive calculator automates these critical stability calculations for you.

What is Fresh Water Allowance (FWA)?

The Fresh Water Allowance (FWA) is defined as the exact number of millimeters by which a vessel's mean draft will change when passing from standard salt water (density 1.025 t/m³) into pure fresh water (density 1.000 t/m³), or vice versa.

If a vessel loads cargo in a fresh water river port up to its Summer Load Line mark, it will actually rise out of the water once it enters the denser ocean. Therefore, regulations allow the vessel to submerge its load line mark by exactly the FWA amount while inside the fresh water port. The standard formula for FWA is the ship's Summer Displacement divided by (40 × TPC).

Understanding Dock Water Allowance (DWA)

Very few ports consist of pure fresh water (1.000). Most coastal ports, estuaries, and river mouths feature brackish water with a density somewhere between 1.000 and 1.025. This requires the calculation of the Dock Water Allowance (DWA).

The DWA is a proportional fraction of the FWA. It tells the Chief Officer exactly how many millimeters the ship's draft will change when moving from the specific brackish dock water into the open ocean. Calculating the DWA allows the vessel to maximize its cargo intake legally.

Practical Example: Maximizing Cargo Load

Consider a practical scenario where a bulk carrier is loading grain in a brackish river port where the hydrometer reads a water density of 1.015 t/m³. The vessel has a calculated FWA of 200 millimeters.

  1. Calculate the DWA: The formula takes the density difference. (1.025 - 1.015) ÷ (1.025 - 1.000) × FWA. This equals (10 ÷ 25) × 200 mm. The resulting DWA is 80 millimeters.
  2. Apply the Allowance: This means the vessel will rise exactly 80 mm when it leaves the river and enters the ocean.
  3. Load Additional Cargo: The Chief Officer is legally permitted to load the vessel until the water level is exactly 80 mm above the Summer Load Line mark.

By utilizing our FWA & DWA Calculator, maritime professionals can instantly determine these exact allowances. This prevents costly load line violations, avoids detention by Port State Control, and ensures the charterer maximizes their cargo profits safely.

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