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Ship's Stabily
Ship stability is a complicated aspect of naval architecture which has existed in some form or another for hundreds of years. Historically, ship stability calculations for ships relied on rule-of-thumb calculations, often tied to a specific system of measurement. Some of these very old equations continue to be used in naval architecture books today, however the advent of the ship model basin allows much more complex analysis.
4. ^ U.S. Coast Guard Technical computer program support accessed 20 December 2006.
6/25/2010
Metacentric
Metacentric
The metacentric height (GM) is the distance between the center of gravity of a ship and its metacenter. The GM is used to calculate the stability of a ship and this must be done before it proceeds to sea. The GM must equal or exceed the minimum required GM for that ship for the duration of the forthcoming voyage. This is to ensure that the ship has adequate stability.
Metacenter
When a ship is heeled, the center of buoyancy of the ship moves laterally. The point at which a vertical line through the heeled center of buoyancy crosses the line through the original, vertical center of buoyancy is the metacenter. In the diagram to the right the two Bs show the centers of buoyancy of a ship in the upright and heeled condition and M is the metacenter. The metacenter is considered to be fixed for small angles of heel; however, at larger angles of heel the metacenter can no longer be considered fixed and other means must be found to calculate the ship's stability.
The metacenter can be calculated using the formulae:
KM = KB + BM
BM =\frac{I}{V} \
Where B is the center of buoyancy, I is the Second moment of area of the waterplane in meters4 and V is the volume of displacement in meters3. [1]
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References
1. ^ Ship Stability. Kemp & Young. ISBN 0853090424
2. ^ a b c d Comstock, John (1967). Principles of Naval Architecture. New York: Society of Naval Architects and Marine Engineers. pp. 827. ISBN 670020738.
3. ^ a b Harland, John (1984). Seamanship in the age of sail. London: Conway Maritime Press. pp. 43. ISBN 0851771793.
4. ^ U.S. Coast Guard Technical computer program support accessed 20 December 2006.
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