Q4 (10 Marks) Ship Stability
SC&S • Written Exam

(a) Describe briefly the significance of the factor of subdivision. (6)

(b) A ship of 8000t displacement floats upright in sea water, with KG = 7.6m, GM = 0.5m. A tank, whose Kg is 0.6m above the keel and 3.5m from the center line contains 100 t of water ballast. Neglecting the free surface effect, calculate the angle which the ship will heel, when the ballast water is pumped out. (10)

Appeared In: Jan 2019

Verified Model Answer (Text Solution)

Structured for DG Shipping MEO Class II examination scoring criteria.

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Part (a)

Factor of Subdivision

The factor of subdivision introduces a safety measure by reducing the size of the compartments to limit the effects of flooding. It ensures that the ship's draft or trim has less chance of touching the margin line during flooding or heeling.

Permissible Length Formula:

$$Permissible\:length=\frac{Floodable\:length}{Factor\:of\:Subdivision}$$

A smaller factor of subdivision leads to a smaller permissible length, requiring more numerous and smaller compartments. This reduces the potential for catastrophic flooding, as a smaller flooded area is less likely to exceed the ship's reserve buoyancy and cause it to sink. The factor of subdivision is determined by the ship's length and its intended service. The nature of service is quantified by a "criterion of service" (Cs) number, which considers the proportion of passenger and machinery spaces to the total volume of the ship. A higher Cs number (indicating more passenger space) typically results in a lower factor of subdivision and therefore smaller compartments.

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