Regulation 7-1 - Calculation
of the factor
p
i
1 The factor p
i
for
a compartment or group of compartments shall be calculated in accordance
with paragraphs 1.1 and 1.2 using the following notations:
|
j
|
= |
the
aftmost damage zone number involved in the damage starting with No.1
at the stern; |
|
n
|
= |
the
number of adjacent damage zones involved in the damage; |
|
k
|
= |
is
the number of a particular longitudinal bulkhead as barrier for transverse
penetration in a damage zone counted from shell towards the centre
line. The shell has k = 0;
|
|
x1
|
= |
the
distance from the aft terminal of L
s to the
aft end of the zone in question;
|
|
x2
|
= |
the
distance from the aft terminal of L
s to the
forward end of the zone in question;
|
|
b
|
= |
the mean transverse distance in metres measured at right angles to
the centreline at the deepest subdivision draught between the shell and an assumed
vertical plane extended between the longitudinal limits used in calculating the
factor pi and which is a tangent to, or common with, all or part
of the outermost portion of the longitudinal bulkhead under consideration. This
vertical plane shall be so orientated that the mean transverse distance to the
shell is a maximum, but not more than twice the least distance between the plane
and the shell. If the upper part of a longitudinal bulkhead is below the deepest
subdivision draught the vertical plane used for determination of b is
assumed to extend upwards to the deepest subdivision waterline. In any case,
b is not to be taken greater than B/2. |
If the damage involves a single zone only:
|
pi
|
= |
p(x1j
,x2j
)
• [r(x1j
,x2j
,bk
) - r(x1j
,x2j
,bk-1
)]
|
If the damage involves two adjacent zones:
|
pi
|
= |
p(x1j
,x2j+1
) • [r(x1j
,x2
j+1
,bk
) - r(x1j
,x2j+1
,bk
-1)] - p(x1j
,x2j
) • [r(x1j
,x2j
,bk
) - r(x1j
,x2j
,bk
-1
)] - p(x1j
+1,x2j
+1) • [r(x1j
+1,x2j
+1,bk
) - r(x1j
+1,x2j
+1
,bk
-1)] |
If the damage involves three or more adjacent zones:
|
pi
|
= |
p(x1j
,x2j+n
-1) • [r(x1j
,x2j
+
n
-1,bk
) - r(x1j
,x2j
+
n
-1,bk
-1)] - p(x1j
,x2j
+
n
-2) • [r(x1j
,x2j
+
n
-2,bk
) - r(x1j
,x2j
+
n
-2,bk
-1)] - p(x1j
+1,x2j
+
n
-1) • [r(x1j
+1,x2j
+
n
-1,bk
) - r(x1j
+1,x2j
+
n
-1,bk
-1)] + p(x1j
+1,x2j
+
n
-2) • [r(x1j
+1,x2j
+
n
-2,bk
) - r(x1j
+1,x2j
+
n
-2,bk
-1)] |
and where r(x1, x2, b0
) = 0
1.1 The factor p(x1, x2) is to be calculated according to the following formulae:
| Overall normalized max damage
length:
|
J
max
|
= 10/33
|
| Knuckle point in the
distribution:
|
Jkn
|
= 5/33
|
| Cumulative probability at J
kn
:
|
pk
|
= 11/12
|
| Maximum absolute damage
length:
|
l max
|
= 60 m
|
| Length where normalized distribution
ends:
|
L*
|
= 260 m
|
Probability density at J =
0:
When Ls
≤ L*:
|
Jm
|
= |
|
|
Jk
|
= |
|
|
b
12
|
= |
b
0
|
When Ls
> L*:
|
Jm
*
|
= |
|
|
Jk
*
|
= |
|
|
Jm
|
= |
|
|
Jk
|
= |
|
|
b
12
|
= |
|
|
b
11
|
= |
|
|
b
21
|
= |
|
|
b
22
|
= |
|
The non-dimensional damage length:
The normalized length of a compartment or group of
compartments:
Jn
is to be taken
as the lesser of J and Jm
1.1.1 Where neither limits of the compartment
or group of compartments under consideration coincides with the aft
or forward terminals:
J≤J
k
:
- p(x1,x2) =
J>J
k
:
- p(x1,x2) =
1.1.2 Where the aft limit of the compartment or
group of compartments under consideration coincides with the aft terminal
or the forward limit of the compartment or group of compartments under
consideration coincides with the forward terminal:
J≤J
k
:
- p(x1,x2) =
J>J
k
:
- p(x1,x2) =
1.1.3 Where the compartment or groups of compartments
considered extends over the entire subdivision length (Ls
):
1.2 The factor r(x1, x2, b) shall be determined by the following formulae:
where:
|
C
|
= |
12•Jb
•(-45•Jb
+4),
where
|
|
Jb
|
= |
|
1.2.1 Where the compartment or groups of compartments
considered extends over the entire subdivision length (Ls
):
|
G
|
= |
|
1.2.2 Where neither limits of the compartment
or group of compartments under consideration coincides with the aft
or forward terminals:
|
G
|
= |
|
1.2.3 Where the aft limit of the compartment or
group of compartments under consideration coincides with the aft terminal
or the forward limit of the compartment or group of compartments under
consideration coincides with the forward terminal:
|
G
|
= |
|
|
| Copyright 2022 Clasifications Register Group Limited, International Maritime Organization, International Labour Organization or Maritime
and Coastguard Agency. All rights reserved. Clasifications Register Group Limited, its affiliates and subsidiaries and their respective
officers, employees or agents are, individually and collectively, referred to in this clause as 'Clasifications Register'. Clasifications
Register assumes no responsibility and shall not be liable to any person for any loss, damage or expense caused by reliance
on the information or advice in this document or howsoever provided, unless that person has signed a contract with the relevant
Clasifications Register entity for the provision of this information or advice and in that case any responsibility or liability is
exclusively on the terms and conditions set out in that contract.
|
 |
|