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Change in list of a ship due to vertical shifting of a weight

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Abstract

When a ship gets an original list, and a weight is to be vertically shifted (or is to be suspended by a ship’s gear), two approaches for calculating the change in list of the ship have been developed as follows: the first one—for the case when the biggest list of a ship is not more than 5–6°, and the second one—when the biggest list of a ship is not more than 10–12°. These equations have been represented in dimensionless form and reviewed for different specific shapes of a ship’s sides: circle, tumblehome, and wall-sided ones. For wall-sided ships, in order to simplify the procedure of calculating the change in list, a graphical approach and corresponding nomogram has been proposed and designed. The developed method and equations can be also used for calculating the change in list of a ship when heavy-lift cargo is just suspended by the ship’s own gear during heavy-lift operations.

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Abbreviations

GM :

Metacentric height of a ship, m

GM cor :

Metacentric height corrected due to free surfaces of liquids, m

GG 1 :

Vertical distance through which the center of gravity of a ship moves due to shifting a weight, m

M :

Righting moment of a ship, t×m

H :

Vertical distance from the WL to the deck edge amidships or to the bilge of the upright ship depending on what is the least one, m

B :

Beam amidships < m

δGM:

Metacentric height change (loss) due to vertical shifting a weight, m

BM :

Metacentric radius of a ship, m

KG :

Distance from keel to the center of gravity of a ship, m

GZ :

Righting lever of a ship, m

δz :

Distance through which a weight is to be shifted, m

z w :

Position of sailing area of a ship above the half draft of a ship, m

Δ:

Displacement of ship, t

w :

Weight which is to be vertically shifted, t

φ :

Angle of list of ship, degree

p w :

Pressure of wind acting on a ship, Pa

S :

Sailing area of a ship above WL, m2

\( \propto =\frac{G{G}_1}{GM} \) :

Dimensionless number

\( \beta =\frac{GM}{BM} \) :

Dimensionless number

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Author information

Authors and Affiliations

  1. Safety of Navigation Department, Sevastopol State University, 14 Gogolya Str, 299011, Sevastopol, Russia

    Yevgeniy V. Gembaty

  2. Nikitin, Safety of Navigation Department, Sevastopol State University, 14 Gogolya Str, 299011, Sevastopol, Russia

    Yevgeny V. Nikitin

Authors
  1. Yevgeniy V. Gembaty
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  2. Yevgeny V. Nikitin
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Correspondence to Yevgeny V. Nikitin.

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Gembaty, Y.V., Nikitin, Y.V. Change in list of a ship due to vertical shifting of a weight. WMU J Marit Affairs 16, 99–113 (2017). https://doi.org/10.1007/s13437-016-0108-6

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  • DOI: https://doi.org/10.1007/s13437-016-0108-6

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