Regulation 7 – Attained Subdivision Index A
Clasification Society 2024 - Version 9.40
Statutory Documents - IMO Publications and Documents - Resolutions - Maritime Safety Committee - Resolution MSC.429(98)/Rev.2 - Revised Explanatory Notes to the SOLAS Chapter II-1 Subdivision and Damage Stability Regulations - (adopted on 11 November 2020) - Annex - Revised Explanatory Notes to the SOLAS Chapter II-1 Subdivision and Damage Stability Regulations - Part B - Guidance on Individual SOLAS Chapter II-1 Subdivision and Damage Stability Regulations - Regulation 7 – Attained Subdivision Index A

Regulation 7 – Attained Subdivision Index A

Regulation 7.1

1 The probability of surviving after collision damage to the ship's hull is expressed by the index A. Producing an index A requires calculation of various damage scenarios defined by the extent of damage and the initial loading conditions of the ship before damage. Three loading conditions should be considered and the result weighted as follows:

where the indices s, p and l represent the three loading conditions and the factor to be multiplied to the index indicates how the index A from each loading condition is weighted.

2 The method of calculating A for a loading condition is expressed by the formula:

2.1 The index c represents one of the three loading conditions, the index i represents each investigated damage or group of damages and t is the number of damages to be investigated to calculate Ac for the particular loading condition.

2.2 To obtain a maximum index A for a given subdivision, t has to be equal to T, the total number of damages.

3 In practice, the damage combinations to be considered are limited either by significantly reduced contributions to A (i.e. flooding of substantially larger volumes) or by exceeding the maximum possible damage length.

4 The index A is divided into partial factors as follows:

  • pi The p factor is solely dependent on the geometry of the watertight arrangement of the ship.

  • vi The v factor is dependent on the geometry of the watertight arrangement (decks) of the ship and the draught of the initial loading condition. It represents the probability that the spaces above the horizontal subdivision will not be flooded.

  • si The s factor is dependent on the calculated survivability of the ship after the considered damage for a specific initial condition.

5 Three initial loading conditions should be used for calculating each index A. The loading conditions are defined by their mean draught d, trim and GM (or KG). The mean draught and trim are illustrated in the figure below.

6 The GM (or KG) values for the three loading conditions could, as a first attempt, be taken from the intact stability GM (or KG) limit curve. If the required index R is not obtained, the GM (or KG) values may be increased (or reduced), implying that the intact loading conditions from the intact stability book must now meet the GM (or KG) limit curve from the damage stability calculations derived by linear interpolation between the three GMs.

7 For a series of new passenger or cargo ships built from the same plans each of which have the same draughts ds, dp and dl as well as the same GM and trim limits, the attained subdivision index A calculated for the lead ship may be used for the other ships. In addition, small differences in the draught dl (and the subsequent change in the draught dp) are acceptable if they are due to small differences in the lightship characteristics that do not exceed the deviation limits specified in regulation 5.2. For cases where these conditions are not met, a new attained subdivision index A should be calculated.

"Built from the same plans" means that the watertight and weathertight aspects of the hull, bulkheads, decks, openings and other parts of a ship that impact the attained subdivision index A calculation remain exactly the same.

8 For a passenger or cargo ship in service which undergoes alterations that materially affect the stability information supplied to the master and require it to be re-inclined in accordance with regulation 5.4, a new attained subdivision index A should be calculated. However, for alteration cases where a re-inclining is not required and the alterations do not change the watertight and weathertight arrangements of the ship that impact the attained subdivision index A, if ds and the GM and trim limits remain the same then a new attained subdivision index A is not required.

9 For passenger ships subject to lightweight surveys every 5 years, if the lightweight survey results are within the limits specified in regulation 5.5, and ds and the GM and trim limits remain the same, a new attained subdivision index A is not required. However, if the lightweight survey results exceed either limit specified in regulation 5.5, a new attained subdivision index A should be calculated.

10 For any new passenger or cargo ship for which the deviation in lightship characteristics between the preliminary and the as built values are within the limits specified in regulation 5.2 and ds is unchanged, then the preliminary attained subdivision index A calculation may be approved as the final attained subdivision index A calculation. However, for cases where these conditions are not met, then a new attained subdivision index A should be calculated.

Regulation 7.2

When additional calculations of A are performed for different trims, for a given set of calculations the difference between trim values for ds, dp and dl may not exceed 1% L.

Regulation 7.5

1 With the same intent as wing tanks, the summation of the attained index A should reflect effects caused by all watertight bulkheads and flooding boundaries within the damaged zone. It is not correct to assume damage only to one half of the ship's breadth B and ignore changes in subdivision that would reflect lesser contributions.

2 In the forward and aft ends of the ship where the sectional breadth is less than the ship's breadth B, transverse damage penetration can extend beyond the centreline bulkhead. This application of the transverse extent of damage is consistent with the methodology to account for the localized statistics which are normalized on the greatest moulded breadth B rather than the local breadth.

3 Where, at the extreme ends of the ship, the subdivision exceeds the waterline at the deepest subdivision draught, the damage penetration b or B/2 is to be taken from centreline. The figure below illustrates the shape of the B/2 line.

4 Where longitudinal corrugated bulkheads are fitted in wing compartments or on the centreline, they may be treated as equivalent plane bulkheads provided the corrugation depth is of the same order as the stiffening structure. The same principle may also be applied to transverse corrugated bulkheads.

Regulation 7.6

Refer to the explanatory notes for regulation 7-2.2 for the treatment of free surfaces during all stages of flooding.

Regulation 7.7

1 This explanatory note only applies to ships for which the building contract is placed on or after 1 January 2020 and which are constructed before 1 January 2024. Pipes and valves directly adjacent or situated as close as practicable to a bulkhead or to a deck can be considered to be part of the bulkhead or deck, provided the separation distance on either side of the bulkhead or deck is of the same order as the bulkhead or deck stiffening structure. The same applies for small recesses, drain wells, etc.

2 This explanatory note only applies to ships constructed on or after 1 January 2024. Pipes and valves directly adjacent or situated as close as practicable to a bulkhead or to a deck can be considered to be part of the bulkhead or deck, provided the separation distance on either side of the bulkhead or deck is of the same order as the bulkhead or deck stiffening structure. The same applies for small recesses, drain wells, etc. In no case should the separation distance on either side of the bulkhead or deck be more than 450 mm measured from the valve's near end to the bulkhead or deck.

3 For ships up to L = 150 m the provision for allowing "minor progressive flooding" should be limited to pipes penetrating a watertight subdivision with a total cross-sectional area of not more than 710 mm2 between any two watertight compartments. For ships of L = 150 m and upwards the total cross-sectional area of pipes should not exceed the cross-sectional area of one pipe with a diameter of L/5000 m.


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