First lets go with basic meanings of both: Note that metacenter exists for floating Center of buoyancy: consider a ship, half of the protion is. The Buoyancy Force act through the Centre of Gravity of the Displaced Fluid and is called The Centre of. Metacentre M (initial transverse metacentre). When a ship floating at rest in still water is inclined by an external force to a small angle fi, the centre of buoyancy.

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Metacentric height – Wikipedia

Thank you for your feedback. Sailing yachts, especially racing yachts, are designed to be stiff, meaning the distance between the centre of mass and the metacentre is very large in order to resist the heeling effect of the wind on the sails. Thank You for Your Contribution! Deadweight tonnage Twenty-foot equivalent unit Intermodal containers.

As the hull rights, work is done either by its centre of mass falling, or by water falling to accommodate a rising centre of buoyancy, or both.

Desirable and Undesirable Characteristics of Offshore Yachts. If M were below G, the couple would be an overturning couple and the original equilibrium would have been unstable. You may find it helpful to search within the site to see how similar or related subjects are covered. It is calculated as the distance between the centre of gravity of a ship and its metacentre. This can also be done when a ship or offshore floating platform is in service.


An ideal boat strikes a balance.

Metacentre M (initial transverse metacentre)

The centre of gravity of the ship is commonly denoted as point G or VCG. The metacentric height GM is a measurement of the initial static stability of a floating body. The centre of gravity is buoyanxy point in a body about which all parts of the body balance each other.

A ship with a small GM will be “tender” – have a long roll period. The maximum righting moment is the maximum moment that could be applied to the vessel without causing it to capsize.

Stability and Metacentric Height

However, if the centre of mass is below the axis, it will move to one side and rise, creating potential energy. Photosynthesis, the process by buoyncy green plants and certain other organisms transform light energy…. Contact our editors with your feedback.

Gross register tonnage Net register tonnage. The metacentre remains directly above the centre of buoyancy by definition. The righting couple is proportional to the metacentric height multiplied by the sine of the angle of heel, hence the importance of metacentric height to stability.

Therefore the centre of buoyancy moves towards the right to its new position B’. This is because the stiff vessel quickly responds to the sea as it attempts to assume the slope of the wave.


The stability increases with the distance between metacentre and centre of gravity, called the metacentric height. For the body shown in Fig. There is also a similar consideration in the movement of the metacentre forward and aft as a ship pitches. A larger metacentric height on the other hand can cause a vessel to be too “stiff”; excessive stability is uncomfortable for passengers and crew.

Geometric centers Buoyancy Ship measurements.

Metacentre M (initial transverse metacentre)

Technically, there are different metacentric heights for metzcentre combination of pitch and roll motion, depending on the moment of inertia of the waterplane area of the ship around the axis of rotation under consideration, but they are normally only calculated and stated as specific values for the limiting pure pitch and roll motion. Keep Exploring Britannica Photosynthesis.

The range of positive stability will be reduced to the angle of down flooding resulting in a reduced righting lever. Displacement Loaded displacement Standard displacement Light displacement Normal displacement. The metacentre can be calculated using the formulae: Netacentre using this site, you agree to the Terms of Use and Privacy Policy.