2.8.1 Application
The provisions given hereunder apply to ships the keel of which is laid or
which is at a similar stage of constructionfootnote on or after 1 January 2020 engaged in harbour towing, coastal
or ocean-going towing and escort operations and to ships converted to carry out towing
operations after this date.
2.8.2 Heeling lever for towing operations
2.8.2.1 The self-tripping heeling lever is calculated as provided below:
-
.1 A transverse heeling moment is generated by the maximum transverse
thrust exerted by the ship's propulsion and steering systems and the corresponding
opposing towline pull.
-
.2 The heeling lever HLφ, in (m), as a function of the
heeling angle φ, should be calculated according to the following formula:
- where
-
BP = bollard pull, in (kN), which is the documented maximum
continuous pull obtained from a static bollard pull test performed in
accordance with relevant IMO guidelinesfootnote or a standard acceptable to the
Administration;
-
CT |
= |
• 0.5,
for ships with conventional,
non-azimuth propulsion units;
• 0.90/(1 +
l/LLL),
for ships with
azimuth propulsion units installed at a single point along the length.
However, CT should not be less than 0.7 for ships with
azimuth stern drive towing over the stern or tractor tugs towing over
the bow, and not less than 0.5 for ships with azimuth stern drive
towing over the bow or tractor tugs towing over the stern;
|
-
For tugs with other propulsion and/or towing arrangements, the value of
CT is to be established on a case by case basis to the satisfaction of
the Administration.
-
Δ = displacement, in (t);
-
l = longitudinal distance, in (m), between the towing point and the
vertical centreline of the propulsion unit(s) relevant to the towing situation
considered;
-
h = vertical distance, in (m), between the towing point and the
horizontal centreline of the propulsion unit(s) as relevant for the towing situation
considered;
-
g = gravitational acceleration, in (m/s2), to be taken as
9.81;
-
r = the transverse distance, in (m), between the centre line and the
towing point, to be taken as zero when the towing point is at the centre line.
-
LLL = length (L) as defined in the International
Convention on Load Lines in force.
-
The towing point is the location where the towline force is applied to
the ship. The towing point may be a towing hook, staple, fairlead or equivalent
fitting serving that purpose.
2.8.2.2 The tow-tripping heeling lever HLφ, in (m), is
calculated according to the following formula:
-
HLφ = C1 × C2 × ɣ ×
V2 × Ap ×(h × cosφ - r × sinφ +
C3
× d)/(2 × g × Δ)
- where
-
C1 = lateral traction coefficient =
0.10 ≤ C1 ≤ 1.00
-
C
2 = correction of C
1 for angle of heel =

C
2 ≥ 1.00
-
Angle to deck edge 
-
C3 = distance from the centre of AP to the waterline
as fraction of the draught related to the heeling angle
-
C3 =
× 0.26 + 0.30 0.50≤ C3 ≤ 0.83
-
γ = specific gravity of water, in (t/m3);
-
V = lateral velocity, in (m/s), to be taken as 2.57 (5 knots);
-
AP = lateral projected area, in (m2), of the
underwater hull;
-
r = the transverse distance, in (m), between the centre line and the
towing point, to be taken as zero when the towing point is at the centre line;
-
LS = the longitudinal distance, in (m), from the aft
perpendicular to the towing point;
-
LPP= length between perpendiculars, in (m);
-
φ = the angle of heel;
-
f = freeboard amidship, in (m);
-
B = the moulded breadth (m);
-
h = vertical distance, in (m), from the waterline to the towing point;
-
d = actual mean draught, in (m).
-
The towing point is the location where the towline force is applied to
the ship. The towing point may be a towing hook, staple, fairlead or equivalent
fitting serving that purpose.
2.8.3 Heeling lever for escort operations
2.8.3.1 For the evaluation of the stability particulars during escort
operations the ship is considered to be in an equilibrium position determined by the
combined action of the hydrodynamic forces acting on hull and appendages, the thrust force
and the towline force as shown in figure 2.8-1.
2.8.3.2 For each equilibrium position the corresponding steering force, braking
force, heel angle and heeling lever are to be obtained from the results of full scale
trials, model tests, or numerical simulations in accordance with a methodology acceptable
to the Administration.
2.8.3.3 For each relevant loading condition the evaluation of the equilibrium
positions is to be performed over the applicable escort speed range, whereby the speed of
the assisted ship through the water is to be considered.footnote
2.8.3.4 For each relevant combination of loading condition and escort speed,
the maximum heeling lever is to be used for the evaluation of the stability particulars.
2.8.3.5 For the purpose of stability calculations the heeling lever is to be
taken as constant.
Figure 2.8-1: Escort tug equilibrium
position
2.8.4 Stability criteria
2.8.4.1 In addition to the stability criteria given in part A, section 2.2, or
the equivalent stability criteria given in chapter 4 of the explanatory notes to the 2008
IS Code where the ship's characteristics render compliance with part A, section
2.2 impracticable, the following stability criteria should be complied with.
2.8.4.2 For ships engaged in harbour, coastal or ocean-going towing operations
the area A contained between the righting lever curve and the heeling lever curve
calculated in accordance with paragraph 2.8.2.1 (self-tripping), measured from the heel
angle, φe, to the angle of the second intersection,
φc, or the angle of down-flooding,
φf, whichever is less, should be greater than the area B
contained between the heeling lever curve and the righting lever curve, measured from the
heel angle φ = 0 to the heel angle, φe.
where:
-
φe = Angle of first intersection between the heeling
lever and righting lever curves;
-
φf = Angle of down-flooding as defined in part A,
paragraph 2.3.1.4 of this Code. Openings required to be fitted with weathertight closing
devices under the ICLL but, for operational reasons, are required to be kept open should
be considered as down-flooding points in stability calculation;
-
φc = Angle of second intersection between the heeling
lever and righting lever curves.
2.8.4.3 For ships engaged in harbour, coastal or ocean-going towing operations
the first intersection between the righting lever curve and the heeling lever curve
calculated in accordance with paragraph 2.8.2.2 (tow-tripping) should occur at an angle of
heel less than the angle of down-flooding, φf.
2.8.4.4 For ships engaged in escort operations the maximum heeling lever
determined in accordance with paragraph 2.8.3 should comply with the following
criteria:
where:
-
Area A = Righting lever curve area measured from the heel angle
φe
to a heel angle of 20 degrees (see figure 2.8-2);
-
Area B = Heeling lever curve area measured from the heeling angle φe
to a heel angle of 20 degrees (see figure 2.8-2);
-
Area C = Righting lever curve area measured from the zero heel (φ
= 0) to φd (see figure 2.8-3);
-
Area D = Heeling lever curve area measured from zero heel (φ = 0)
to the heeling angle φd
(see figure 2.8-3);
-
φe = Equilibrium heel angle corresponding to the
first intersection between heeling lever curve and the righting lever curve;
-
φd = the heel angle corresponding to the second
intersection between heeling lever curve and the righting lever curve or the angle of
down-flooding or 40 degrees, whichever is less.
Figure 2.8-2: Areas A
and B
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Figure 2.8-3: Areas C
and D
|
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2.8.5 Constructional precautions against capsizing
2.8.5.1 Access to the machinery space, excluding emergency access and removal
hatches, should, if possible, be arranged within the forecastle. Any access to the
machinery space from the exposed cargo deck should be provided with two weathertight
closures, if practicable. Access to spaces below the exposed cargo deck should preferably
be from a position within or above the superstructure deck.
2.8.5.2 The area of freeing ports in the side bulwarks of the cargo deck
should at least meet the requirements of regulation 24 of the International Convention on
Load Lines, 1966 or the Protocol of 1988 relating thereto, as amended, as applicable. The
disposition of the freeing ports should be carefully considered to ensure the most
effective drainage of water trapped on the working deck and in recesses at the after end of
the forecastle. In ships operating in areas where icing is likely to occur, no shutters
should be fitted in the freeing ports.
2.8.5.3 A ship engaged in towing operations should be provided with means for
quick release of the towline.footnote
2.8.6 Operational procedures against capsizing
2.8.6.1 The arrangement of cargo stowed on deck should be such as to avoid any
obstruction of the freeing ports or sudden shift of cargo on deck. Cargo on deck, if any,
should not interfere with the movement of the towline.
2.8.6.2 A minimum freeboard at stern of at least 0.005×LLL should
be maintained in all operating conditions.