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This is understood to be a function of the Block coefficient of the vessel concerned, finer lined vessels Cb <0.7 squatting by the stern and vessels with a Cb >0.7 squatting by the head or bow. [1] Squat effect is approximately proportional to the square of the speed of the ship.
The volume of a ship's hull below the waterline (solid), divided by the volume of a rectangular solid (lines) of the same length, height and width, determine a ship's block coefficient. Coefficients [5] help compare hull forms as well: Block coefficient (C b) is the volume (V) divided by the L WL × B WL × T WL. If you draw a box around the ...
At a basic level, it is typically calculated in metres using the formula: [1] UKC = Charted Depth − Draft-/+ Height of Tide. Ship masters and deck officers can obtain the depth of water from Electronic navigational charts. [5] More dynamic or advanced calculations include safety margins for manoeuvring effects and squat. [7]
Simpson's rules are used to calculate the volume of lifeboats, [6] and by surveyors to calculate the volume of sludge in a ship's oil tanks. For instance, in the latter, Simpson's 3rd rule is used to find the volume between two co-ordinates. To calculate the entire area / volume, Simpson's first rule is used. [7]
Depth is the depth of the hold, in feet below the main deck. The numerator yields the ship's volume expressed in cubic feet. If a "tun" is deemed to be equivalent to 100 cubic feet, then the tonnage is simply the number of such 100 cubic feet 'tun' units of volume. 100 the divisor is unitless, so tonnage would be expressed in 'ft 3 of tun'. [1]
The ship's hydrostatic tables show the corresponding volume displaced. [4] To calculate the weight of the displaced water, it is necessary to know its density. Seawater (1,025 kg/m 3) is more dense than fresh water (1,000 kg/m 3); [5] so a ship will ride higher in salt water than in fresh. The density of water also varies with temperature.
Hull speed can be calculated by the following formula: where is the length of the waterline in feet, and is the hull speed of the vessel in knots. If the length of waterline is given in metres and desired hull speed in knots, the coefficient is 2.43 kn·m −½.
ρ r and ρ w are the densities of rock and (sea)water (kg/m 3) D n50 is the nominal median diameter of armor blocks = (W 50 /ρ r) 1/3 (m) K D is a dimensionless stability coefficient, deduced from laboratory experiments for different kinds of armor blocks and for very small damage (a few blocks removed from the armor layer) (-):