Modern shipbuilding and the men engaged in itPollock, David
History
Modern shipbuilding and the men engaged in it
Pollock, David
Shipbuilding -- Great Britain
This may be made clearer by illustration. On Figs. 14 and 15,
which show in outline a vessel’s midship section, the vessel being
inclined to a small angle, =G= represents the centre of gravity
of vessel, and =B= the centre of buoyancy. The water line =W.L.=
corresponding to the upright position, in the inclined position
becomes =W_{1}.L_{1}.=, and the centre of buoyancy =B= shifts out
on the immersed side of the vessel to =B_{1}=. Assuming in the case
of Fig. 14 that some external force not involving any shifting of
the centre of gravity has produced the inclination, then the weight
of the vessel acts downwards through =G=, and the buoyancy of her
displacement acts upwards through =B_{1}=, as indicated by the
arrows passing through these points. The combined effect of these
forces, in this case, is to rotate the vessel towards the upright,
_i.e._, it forms a “righting couple.” Fig. 15 illustrates a case
of the opposite kind. The angle of inclination may be supposed to
be greater than in Fig. 14, and the centre of gravity =G= is much
higher in the vessel. The vertical through =B_{1}= is to the left
instead of to the right of the vertical through =G=. The effect of
the forces in this case is to rotate the vessel in the direction
of inclining her still further, and to capsize her—_i.e._, it
forms an “upsetting couple.” A line at =G=, therefore (Fig. 14),
taken at right angles to the new vertical line, gives the distance
which corresponds to the righting arm (=G= =Z=). A similar line at
=G= (Fig. 15) represents the upsetting arm. The lengths of these
arms when multiplied into the displacement, gives the “moments” at
the respective degrees of inclination. The “curve of stability”
for a vessel is simply a graphic representation of these arms or
moments. When calculated for the various degrees of inclination,
they are set off as ordinates along a base line—the righting arms
or moments above, and the upsetting arms or moments below, the
line—at distances corresponding to the number of degrees in the
respective inclinations. A curve drawn through the extremities of
these ordinates is the curve of stability.
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