Graphical representation of the dimensions used to describe a ship. Dimension "b" is the beam.
The beam of a ship is its width at the widest point as measured at the ship's nominal waterline. The beam is a bearing projected at rightangles from the fore and aft line, outwards from the widest part of ship. Beam may also be used to define the maximum width of a ship's hull, or maximum width plus superstructure overhangs.
Generally speaking, the wider the beam of a ship (or boat), the more initial stability it has, at expense of reserve stability in the event of a capsize, where more energy is required to right the vessel from its inverted position.
Contents

Typical values 1

Formula 2

BOC 3

Other beams 4

Notes 5

References 6
Typical values
Typical lengthtobeam ratios for small sailboats are from 2:1 (dinghies to trailerable sailboats around 20 ft or 6 m) to 5:1 (racing sailboats over 30 ft or 10 m).
Large ships have widely varying beam ratios, some as large as 20:1.
Rowing shells designed for flatwater racing may have length to beam ratios as high as 30:1,^{[1]} while a coracle has a ratio of almost 1:1 – it is nearly circular.
Formula
The beam of many monohull vessels can be calculated using the following formula:

Beam = LOA^{2/3} + 1
Where LOA is Length Overall and all units are in feet.
Some examples:

For a standard 27 ft (8.2 m) yacht: the cube root of 27 is 3, 3 squared is 9 plus 1 = 10. The beam of many 27 ft monohulls is 10 ft (3.05 m).

For a Volvo Open 70 yacht: 70.5 to the power of 2/3 = 17 plus 1 = 18. The beam is often around 18 ft (5.5 m).

For a 741 ft (226 m) long ship: the cube root is 9, and 9 squared is 81, plus 1. The beam will usually be around 82 ft (25 m), e.g. Seawaymax.
As catamarans have more than one hull, there is a different beam calculation for this kind of vessel.
BOC
BOC stands for Beam On Centerline. This term in typically used in conjunction with LOA (Length overall). The ratio of LOA/BOC is used to estimate the stability of multihull vessels. The lower the ratio the greater the boat's stability.
The BOC for vessels is measured as follows: For a catamaran: the perpendicular distance from the centerline of one hull to the centerline of the other hull, measured at deck level. For a trimaran: the perpendicular distance between the centerline of the main hull and the centerline of either ama, measured at deck level
Other beams
Other meanings of 'beam' in the nautical context are:

Beam – a timber similar in use to a floor joist, which runs from one side of the hull to the other athwartships.

Carlin – similar to a beam, except running in a fore and aft direction.
Notes

^ Science News Online: Ivars Peterson's MathTrek (7/17/99): Row Your Boat
References

Hayler, William B.; Keever, John M. (2003). American Merchant Seaman's Manual. Cornell Maritime Pr.

Turpin, Edward A.; McEwen, William A. (1980). Merchant Marine Officers' Handbook (4th ed.). Centreville, MD: Cornell Maritime Press.


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Stability



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