Calculating Volumes and Centres of Buoyancy
In order to study the properties of a floating body, such as a ship, it is necessary to be able to calculate displacement volume and centre of buoyancy. To calculate weights and centres of gravity of a deck plate or a bulkhead plate it is necessary to calculate the area and centre of area of a plate whose outline is a curve defined by the hull shape. We need to be able to calculate areas and centres of area of a uniform plane lamina or the volumes and centres of volume of a uniform three-dimensional solid. The second process (finding volume properties) is an extension of the first and both involve processes of integration.