5.1 The probability, PS, of breaching
a given cargo oil tank subject to side damage is computed as follows:
PS=(1 - PSf - PSa) (1 - PSu - PSl) (1 - PSy)
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(5.1)
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(1 - PSf - PSa)
is the probability that the damage will penetrate into the longitudinal
zone defined by transverse planes located at the extreme fore and
aft bounds of the tank. (1 - PSu - PSl) is the
probability that the damage will penetrate into the vertical zone
defined by horizontal planes located at the extreme upper and lower
bounds of the tank. (1 - PSy) is the probability that the
transverse extent of damage will penetrate into the zone defined by
the outboard bulkhead of the tank.
5.2 Similarly, the probability PB,
of breaching a given cargo oil tank subject to bottom damage is computed
as follows:
PB=(1 - PBf - PBa) (1 - PPb - PBs) (1 - PBz)
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(5.2)
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(1 - PBf - PBa)
is the probability that the damage will penetrate into the longitudinal
zone defined by transverse planes located at the extreme fore and
aft bounds of the tank. (1 - PBp - PBs) is the
probability that the damage will penetrate into the transverse zone
defined by vertical planes parallel to centreline, located at the
extreme port and starboard most bounds of the tank. (1 - PBz)
is the probability that the vertical extent of damage will extend
into the zone defined by the bottom of the tank.
5.3 The extreme boundaries of each compartment
are applied when determining the dimensions of the rectilinear block.
Although the averaging of sloping boundaries was investigated, it
was found that application of the extreme boundaries generally provided
more consistent and usually slightly conservative results as compared
to the more rigorous procedures discussed in paragraph 10 of regulation 23.