Q9 (10 Marks) Ship Stability
SC&S • Written Exam

(a) What is meant by the Admiralty Coefficient and the Fuel Coefficient? (6)

(b) A rectangular watertight bulkhead 9 m high and 14.5 m wide has sea water on both sides, the height of water on one side being four times that on the other side. The resultant centre of pressure is 7m from the top of the bulkhead. Calculate: (10)

(i) the depths of water

(ii) the resultant load on the bulkhead

Appeared In: Jan 2024

Verified Model Answer (Text Solution)

Structured for DG Shipping MEO Class II examination scoring criteria.

Exam Ready

The Admiralty Coefficient (C) is a method for estimating the propulsion power needed for a newly built ship. It's considered relatively constant for a given ship design. The formula is:

$$C=\frac{\Delta^{2/3}\times V^3}{BP}$$

Where:

  • C = Admiralty Coefficient
  • Δ = Displacement in tonnes (weight of the ship when fully loaded)
  • V = Speed in knots
  • BP = Brake power in kilowatts (power delivered by the ship's engine)

A higher Admiralty Coefficient indicates a more efficient ship design, meaning it requires less power to achieve a given speed. Values typically range from 350 to 600.

Fuel Coefficient:

The Fuel Coefficient (F.C.) is used to calculate a ship's daily fuel oil consumption. The formula is:

$$Daily\:fuel\:oil\:consumption\:=\:\frac{\Delta^{2/3}\times V^3}{FC}$$

Where:

  • F.C. = Fuel Coefficient
  • Δ = Displacement in tonnes
  • V = Speed in knots

The Fuel Coefficient can vary significantly, with typical values ranging from 40,000 to 120,000. A higher Fuel Coefficient implies greater fuel efficiency (lower daily fuel consumption) for a given speed and displacement.

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