Abstract

This chapter studies the stability of a hull that heels at constant displacement. The moment that opposes the heel is called righting moment. As the displacement is constant it is sufficient to consider the variation of the lever arm of the moment, that is of the righting arm. This is the length of the perpendicular drawn from the centre of gravity to the line of action of the buoyancy force. It is shown how to decompose this arm into two terms, one depending on the ship form, the other on the vertical distribution of ship masses. The set of all righting-arm values are displayed as cross-curves of stability, where the independent variable is the displacement volume or mass, and the parameter is the heel angle. For a given displacement and centre of gravity, the display of the righting arm versus the heel angle is the curve of statical stability. It is shown how to draw the tangent in its origin by a very simple geometrical construction. The chapter ends with a concise discussion of the influence of trim and waves on the righting arm.

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