On the Static Stability of Plane Side Ship

Abstract

A classical study of the transverse static stability of the plane side formula ship whose side is not necessarily perpendicular to a water surface is carried out. In this paper, the metacenter radius is shown by only one parameter related to the angle between the side and a water surface. The derived metacenter radius coincides with the existing results including Scribanti's metacenter radius when the side is perpendicular to the water surface. Symmetric relationship of the metacenter radius for the angle of the side from the perpendicular line is found. Furthermore, it is shown that the righting lever takes a minimum value when the side is perpendicular to the water surface.