Page 62 - Introduction to Naval Architecture

FLOTATION AND STABILITY 49

Figure 4. /5 Wall-sided ship

Wall-sided ship
It is interesting to consider a special case when a ship's sides are vertical
in way of the waterline over the whole length. It is said to be wall-sided,
see Figure 4.15. The vessel can have a turn of bilge provided it is not
exposed by the inclination of the ship. Nor must the deck edge be
immersed. Because the vessel is wall-sided the emerged and immersed
wedges will have sections which are right-angled triangles of equal area.
Let the new position of the centre of buoyancy Bj after inclination
through <p be a and/J relative to the centre of buoyancy position in the
upright condition. Then using the notation shown in the figure:

Transverse moment of volume shift

where / is the second moment of area of the waterplane about the
centreline. Therefore