3 Contribution to the attained index A applying various forms of watertight subdivision
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Statutory Documents - IMO Publications and Documents - Resolutions - Assembly - IMO Resolution A.684(17) – Explanatory Notes to the Solas Regulations on Subdivision and Damage Stability of Cargo Ships of 100 Metres In Length and Over – (Adopted on 6 November 1991) - Annex - Explanatory Notes to the SOLAS Regulations on Subdivision and Damage Stability of Cargo Ships of 100 Metres in Length and Over - Appendix 3 - 3 Contribution to the attained index A applying various forms of watertight subdivision

3 Contribution to the attained index A applying various forms of watertight subdivision

 This section details the contribution to the attained index A of various combinations of longitudinal and horizontal watertight subdivision and illustrates the concepts of multiple horizontal and longitudinal subdivision.

For multiple longitudinal subdivisions with no horizontal subdivisions, the general formula is:

where:
m = the number of longitudinal subdivisions, plus 1,
r i = the r-value as function of b i,
s i = the s-factor for compartment i.

For multiple horizontal subdivisions, with no longitudinal subdivisions the general formula is:

where:
n = the number of horizontal subdivisions between the subdivision waterline and H max, plus 1,
v j = the v-value as function of assumed damage height H j,
s minj = the least s-factor for all combinations of damages obtained when the assumed damage extends from the assumed damage height H j downwards.

Generally, when there are combinations of longitudinal and horizontal subdivisions:

where:
m = the number of longitudinal subdivisions, plus 1,
n = the number of horizontal subdivisions (within each longitudinal subdivision) between the subdivision waterline and H max, plus 1,
ri = the r-factor as function of b i,
vJ = the v-value as function of assumed damage height H j,
s minij = the least s-factor for all combinations of damages obtained when the assumed damage extends from the shell to b i and from the assumed damage height H j downwards.

The following examples illustrate how to deal with situations where there are combinations of longitudinal and horizontal subdivision, assuming the damage to occur between two consecutive watertight bulkheads only.

If, however, the damage extends beyond one or more transverse bulkheads, then all terms pi, ri for i = 1, 2 … m are calculated for a group of wing compartments as a function of bi.

3.1 Examples of longitudinal subdivision

Examples of longitudinal subdivision only are given in Figure A-9.

Figure A-9 Interpretation of longitudinal subdivision (in all instances, v = 1)

Each part of the figure illustrates the damage cases which would need to be evaluated for a particular arrangement of watertight boundaries.

The formulae for calculating the contribution to the attained index dA are given in each case.

3.2 Examples of horizontal subdivision

Examples of horizontal subdivision only are given in Figure A-10.

Figure A-10 Interpretation of multiple horizontal subdivision (in all instances, r = 1)

This illustrates the principles described in the previous section as applied to horizontal subdivision.

Regulation 25-4.7 specifies that, in the event that a lesser vertical extent of damage means a lesser contribution to the A-value, then this lesser extent is to be assumed in obtaining the requisite damage stability results.

3.3 Examples of longitudinal/horizontal subdivision

This section illustrates the principles used when combining the longitudinal and horizontal watertight subdivision described in the previous two sections. Examples are given in Figures A-11 and A-12.

Figure A-11 Interpretation of combined longitudinal and horizontal subdivision

Figure A-12 Interpretation of combined longitudinal and horizontal subdivision


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