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List from a wing-tank transfer

List: tan θ = (weight × distance moved) ÷ (displacement × fluid GM) — the distance is tank centre to tank centre, and the GM is always the fluid one.

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The rule

  • Fluid GM = KM − KG − free surface correction.
  • Heeling moment = weight × the distance it travels, tank centre to tank centre.
  • tan θ = heeling moment ÷ (displacement × fluid GM).
  • Solid GM makes the list look smaller than it is — always use the fluid GM.

Worked example

Displacement96400 t
KM at this draft12.62 m
KG in this condition9.57 m
Total free surface correction0.2 m
Weight transferred420 t
Distance between the two tank centres21 m
  1. Fluid GM = 12.62 − 9.57 − 0.2 = 2.85 m
  2. Heeling moment = 420 × 21 = 8820 t·m
  3. tan θ = 8820 ÷ (96400 × 2.85) = 8820 ÷ 274740 = 0.0321
  4. List θ = 1.84°

Common mistake

Taking half the 21 m — centreline out to a single wing tank — as the lever.

The lever is how far the weight actually travels: port wing to starboard wing is the full 21 m, so halving it roughly halves the list you predict.