Regulation 7-2 — Calculation of the factor si
General
1 Initial condition – an intact loading
condition to be considered in the damage analysis described by the
mean draught, vertical centre of gravity and the trim; or alternative
parameters from where the same may be determined (ex. displacement, GM and trim). There are three initial conditions corresponding
to the three draughts ds
, dp
and dl
.
2 Immersion limits – immersion limits are
an array of points that are not to be immersed at various stages of
flooding as indicated in regulations 7-2.5.2 and 7-2.5.3.
3 Openings – all openings need to be defined:
both weathertight and unprotected. Openings are the most critical
factor to preventing an inaccurate index A. If the final
waterline immerses the lower edge of any opening through which progressive
flooding takes place, the factor “s” may be recalculated
taking such flooding into account. However, in this case the s value
should also be calculated without taking into account progressive
flooding and corresponding opening. The smallest s value should be
retained for the contribution to the attained index.
Regulation 7–2.1
1 In cases where the GZ curve may
include more than one “range” of positive righting levers
for a specific stage of flooding, only one continuous positive “range”
of the GZ curve may be used within the allowable range/heel
limits for calculation purposes. Different stages of flooding may
not be combined in a single GZ curve.
2 In figure 1, the s-factor may be
calculated from the heel angle, range and corresponding GZmax
of the first or second “range” of positive
righting levers. In figure 2, only one s-factor can be
calculated.
Regulation 7-2.2
Intermediate stages of flooding
1 The case of instantaneous flooding in unrestricted
spaces in way of the damage zone does not require intermediate stage
flooding calculations. Where intermediate stages of flooding calculations
are necessary in connection with progressive flooding, they should
reflect the sequence of filling as well as filling level phases. Calculations
for intermediate stages of flooding should be performed whenever equalization
is not instantaneous, i.e. equalization is of a duration greater than
60 s. Such calculations consider the progress through one or more
floodable (non-watertight) spaces. Bulkheads surrounding refrigerated
spaces, incinerator rooms and longitudinal bulkheads fitted with non-watertight
doors are typical examples of structures that may significantly slow
down the equalization of main compartments.
Flooding boundaries
2 If a compartment contains decks, inner bulkheads,
structural elements and doors of sufficient tightness and strength
to seriously restrict the flow of water, for intermediate stage flooding
calculation purposes it should be divided into corresponding non-watertight
spaces. It is assumed that the non-watertight divisions considered
in the calculations are limited to “ A” class fire-rated
bulkheads and do not apply to “B” class fire-rated bulkheads
normally used in accommodation areas (e.g., cabins and corridors).
This guidance also relates to regulation 4.4.
Sequential flooding computation
3 For each damage scenario, the damage extent
and location determine the initial stage of flooding. Calculations
should be performed in stages, each stage comprising of at least two
intermediate filling phases in addition to the full phase per flooded
space. Unrestricted spaces in way of damage should be considered as
flooded immediately. Every subsequent stage involves all connected
spaces being flooded simultaneously until an impermeable boundary
or final equilibrium is reached. If due to the configuration of the
subdivision in the ship it is expected that other intermediate stages
of flooding are more onerous, then those should be investigated.
Cross-flooding/equalization
4 In general, cross-flooding is meant as a flooding
of an undamaged space on the other side of the ship to reduce the
heel in the final equilibrium condition.
5 The cross-flooding time should be calculated
in accordance with the Recommendation on a standard method for evaluating
cross-flooding arrangements (resolution
MSC.245(83)). If complete fluid equalization occurs in 60 s
or less, it should be treated as instantaneous and no further calculations
need to be carried out. Additionally, in cases where s
final
= 1 is achieved in 60 s or less, but equalization
is not complete, instantaneous flooding may also be assumed if s
final
will not become reduced. In any cases where
complete fluid equalization exceeds 60 s, the value of sintermediate
after 60 s is the first intermediate stage to be considered. Only
passive open cross-flooding arrangements without valves should be
considered effective for instantaneous flooding cases.
6 If complete fluid equalization can be finalized
in 10 min or less, the assessment of survivability can be carried
out for passenger ships as the smallest values of sintermediate
or sfinal
.
7 In case the equalization time is longer than
10 min, sfinal
is calculated for the floating
position achieved after 10 min of equalization. This floating position
is computed by calculating the amount of flood water according to resolution MSC.245(83) using interpolation,
where the equalization time is set to 10 min, i.e. the interpolation
of the flood water volume is made between the case before equalization
(T = 0) and the total calculated equalization time.
8 In any cases where complete fluid equalization
exceeds 10 min, the value of sfinal
used in
the formula in regulation 7-2.1.1 should be the minimum of sfinal
at 10 min or at final equalization.
Cargo ships
9 If the Administration considers that the stability
in intermediate stages of flooding in a cargo ship may be insufficient,
it may require further investigation thereof.
Regulation 7-2.4
The displacement is the intact displacement at the subdivision
draught in question (ds, dp
and dl
).
Regulation 7-2.4.1.1
The beam B used in this paragraph means breadth
as defined in regulation 2.8.
Regulation 7-2.4.1.2
The parameter A (projected lateral area) used
in this paragraph does not refer to the attained subdivision index.
Regulation 7-2.5
In cargo ships where cross-flooding devices are fitted,
the safety of the ship should be maintained in all stages of flooding.
The Administration may request for this to be demonstrated. Cross-flooding
equipment, if installed, should have the capacity to ensure that the
equalization takes place within 10 min.
Regulation 7-2.5.2.1
Unprotected openings
1 The flooding angle will be limited by immersion
of such an opening. It is not necessary to define a criterion for
non-immersion of unprotected openings at equilibrium, because if it
is immersed, the range of positive GZ limited to flooding
angle will be zero so “s” will be equal to
zero.
2 An unprotected opening connects two rooms or
one room and the outside. An unprotected opening will not be taken
into account if the two connected rooms are flooded or none of these
rooms are flooded. If the opening is connected to the outside, it
will not be taken into account if the connected compartment is flooded.
An unprotected opening does not need to be taken into account if it
connects a flooded room or the outside to an undamaged room, if this
room will be considered as flooded in a subsequent stage.
Openings fitted with a weathertight mean
of closing (“weathertight openings”)
3 The survival “s” factor
will be ”0” if any such point is submerged at a stage
which is considered as “final”. Such points may be submerged
during a stage or phase which is considered as “intermediate”,
or within the range beyond equilibrium.
4 If an opening fitted with a weathertight means
of closure is submerged at equilibrium during a stage considered as
intermediate, it should be demonstrated that this weathertight means
of closure can sustain the corresponding head of water and that the
leakage rate is negligible.
5 These points are also defined as connecting
two rooms or one room and the outside, and the same principle as for
unprotected openings is applied to take them into account or not.
If several stages have to be considered as “final”, a
“weathertight opening” does not need to be taken into
account if it connects a flooded room or the outside to an undamaged
room if this room will be considered as flooded in a successive “final”
stage.
Regulation 7-2.5.2.2
1 Partial immersion of the bulkhead deck may be
accepted at final equilibrium. This provision is intended to ensure
that evacuation along the bulkhead deck to the vertical escapes will
not be impeded by water on that deck. A “horizontal evacuation
route” in the context of this regulation means a route on the
bulkhead deck connecting spaces located on and under this deck with
the vertical escapes from the bulkhead deck required for compliance
with SOLAS chapter II-2.
2 Horizontal evacuation routes on the bulkhead
deck include only escape routes (designated as category 2 stairway
spaces according to SOLAS regulation
II-2/9.2.2.3 or as category 4 stairway spaces according to SOLAS regulation II-2/9.2.2.4 for
passenger ships carrying not more than 36 passengers) used for the
evacuation of undamaged spaces. Horizontal evacuation routes do not
include corridors (designated as category 3 corridor spaces according
to SOLAS regulation II-2/9.2.2.3 or
as category 2 corridor spaces according to SOLAS regulation II-2/9.2.2.4 for
passenger ships carrying not more than 36 passengers) within the damaged
space. No part of a horizontal evacuation route serving undamaged
spaces should be immersed.
3
si
= 0 where it is not
possible to access a stair leading up to the embarkation deck from
an undamaged space as a result of flooding to the “stairway”
or “horizontal stairway” on the bulkhead deck.
4 Horizontal escapes situated in way of the damage
extent may remain effective, therefore si
need
not be taken as zero. Contributions to the attained index A may
still be gained.
Regulation 7-2.5.3.1
1 The purpose of this paragraph is to provide
an incentive to ensure that evacuation through a vertical escape will
not be obstructed by water from above. The paragraph is intended for
smaller emergency escapes, typically hatches, where fitting of a watertight
or weathertight means of closure would otherwise exclude them from
being considered as flooding points.
2 Since the probabilistic regulations do not require
that the watertight bulkheads be carried continuously up to the bulkhead
deck, care should be taken to ensure that evacuation from intact spaces
through flooded spaces below the bulkhead deck will remain possible,
for instance by means of a watertight trunk.
Regulation 7-2.6
Regulation 7-2.6.1
The parameters x1
and x2
are
the same as parameters x1 and x2 used
in regulation 7-1.
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