A multihull craft, in the intact condition, shall have sufficient
stability when rolling in a seaway to successfully withstand the effect
of either passenger crowding or high-speed turning as described in
1.4. The craft's stability shall be considered to be sufficient provided
compliance with this paragraph is achieved.
1.1
Area under the GZ curve
The area (A1) under the GZ curve up to an angle θ shall be at least:
where θ is the least of the following
angles:
1.2
Maximum GZ
The maximum GZ value shall occur at an angle of at least 10°.
1.3
Heeling due to wind
The wind heeling lever shall be assumed constant at all angles
of inclination and shall be calculated as follows:
where:
V
W
|
= |
wind speed corresponding to the worst intended conditions (m/s) |
A
|
= |
projected
lateral area of the portion of the craft above the lightest service
waterline (m2)
|
Z
|
= |
vertical
distance from the centre of A to a point one half the lightest service
draught (m) |
Δ |
= |
displacement
(t) |
Figure 1 Intact Stability
Abbreviations used in figures 1 and 2:
HL
2
|
= |
Heeling lever due to wind + gusting |
HLT
|
= |
Heeling
lever due to wind + gusting + (passenger crowding or turning) |
HL
3
|
= |
Heeling lever due to wind |
HL
4
|
= |
Heeling lever due to wind + passenger crowding |
θ
m
|
= |
Angle of maximum GZ |
θ
d
|
= |
Angle of downflooding |
θ
e
|
= |
Angle of equilibrium, assuming no wind, passenger crowding or
turning effects |
θ
h
|
= |
Angle of heel due to heeling lever HL
2, HTL, HL
3 or HL
4
|
- A
1 > Area required by 1.1
- A
2 > 0.028
1.4
Heeling due to passenger
crowding or high-speed turning
Heeling due to the crowding of passengers on one side of the
craft or to high-speed turning, whichever is the greater, shall be
applied in combination with the heeling lever due to wind (HL
2).
1.4.1
Heeling due to passenger
crowding
When calculating the magnitude of the heel due to passenger
crowding, a passenger crowding lever shall be developed using the
assumptions stipulated in 2.10 of
this Code.
1.4.2
Heeling due to high-speed
turning
When calculating the magnitude of the heel due to the effects
of high-speed turning, a high-speed turning lever shall be developed
using either the following formula or an equivalent method specifically
developed for the type of craft under consideration, or trials or
model test data:
where:
TL
|
= |
turning
lever (m) |
V
o
|
= |
speed of craft in the turn (m/s) |
R
|
= |
turning
radius (m) |
KG |
= |
height of vertical
centre of gravity above keel (m) |
d
|
= |
mean
draught (m) |
g
|
= |
acceleration
due to gravity |
Alternatively, another method of assessment may be employed,
as provided for in 2.1.4 of this
Code.
1.5
Rolling in waves (figure 1)
The effect of rolling in a seaway upon the craft's stability
shall be demonstrated mathematically. In doing so, the residual area
under the GZ curve (A
2), i.e. beyond the angle
of heel (θ
h), shall be at least equal
to 0.028
up to the angle of roll θ
r.
In the absence of model test or other data θ
r shall
be taken as 15° or an angle of (θ
d - θ
h), whichever is less. The determination
of θ
r using model test or other data
shall be made using the method for determining θ
Z in 1.1.5.3 of annex
6.