Discoveries and Inventions of the Nineteenth CenturyRoutledge, Robert
History
Discoveries and Inventions of the Nineteenth Century
Routledge, Robert
Inventions -- History -- 19th century
of a shape different for each inclination of the ship. Now, recalling
for an instant the fundamental law of floating bodies—namely, that the
weight of the water displaced is equal to the weight of the floating
body—we perceive that in the case of a ship there are two equal forces
acting vertically, viz., the weight of the ship or downward pull of
gravitation acting at G, Fig. 74, the centre of gravity of the ship, and
an equal upward push acting through B, the centre of buoyancy. It is
obvious that the action of these forces concur to turn a ship placed as
in Fig. 74 into the upright position. It is by no means necessary for
this effect that the centre of gravity should be below the centre of
buoyancy. All that is requisite for the stability of a ship is, that
when the ship is placed out of the upright position, these forces should
act to bring her back, which condition is secured so long as the centre
of buoyancy is nearer to the side towards which the vessel is inclined
than the centre of gravity is. When there is no other force acting on a
ship or other floating body, these two points are always in the same
vertical line. The two equal forces thus applied in parallel directions
constitute what is called in mechanics a “couple,” and the effect of
this in turning the ship back into the upright position is the same as
if a force equal to its weight were applied at the end of a lever equal
in length to the horizontal distance between the lines through B and G.
The righting force, then, increases in proportion to the horizontal
distance between the two points, and it is measured by multiplying the
weight of the ship in tons by the number of feet between the verticals
through G and B, the product being expressed in statical foot-tons, and
representing the weight in tons which would have to be applied to the
end of a lever 1 ft. long, in order to produce the same turning effect.
When a ship is kept steadily heeled over by a side wind, the pressure of
the wind and the resistance of the water through which the vessel moves
constitute another couple exactly balancing the righting couple. The
moment of the righting couple, or the righting force, or statical
stability as it is also called, is determined by calculation and
experiment from the design of the ship, and from her behaviour when a
known weight is placed in her at a known distance from the centre. Such
calculations and experiments were made in the case of the _Captain_, but
do not appear to have been conducted with sufficient care and
completeness to exhibit her deficiency in stability. After the loss of
the ship, however, elaborate computations on these points were made from
the plans and other data. The following table gives some of the results,
with the corresponding particulars concerning the _Monarch_ for the sake
of comparison:
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