3. 1. GENERAL PARTICULARS
Ship Name : KLM UTOPIA
Type : RECREATIONAL BOAT
Flag : Indonesia
Class : --
Owner : --
Builder : --
MAIN DIMENSION
Length Over All ( LOA ) : 16.55 M
Breadth ( Mld ) : 7.98 M
Depth ( Mld ) : 2.55 M
Max Draft ( Mld ) : 1.32 M
Reference Point :
X : 0 From Midship
Z : 0 From Base Line
2. INTACT STABILITY CRITERIA
APPLIED REGULATION CRITERIA:
IMO IS CODE 2008 – RESOLUTION MSC.267 (85), PART A
CHAPTER 2 - GENERAL CRITERIA
SECT. 2.2 CRITERIA REGARDING RIGHTING LEVER CURVE PROPERTIES.
1. The area under righting lever curve up to the angle of 30 Degrees should not be
less than 0.055 M.rad
2. The area under righting lever curve up to the angle of 40 Degrees should not be
less than 0.09 M.rad
3. The area under righting lever curve between the angle of Heel of 30 Degrees and
40 Degrees should not be less than 0.03 M.rad
4. The righting Lever GZ should be least 0.20 M at an angle of heel equal to or greater
than 30 Degrees.
5. The Maximum Righting Lever (GZ) should occur at an angle of heel not less than
15 Degrees (adopt HSC code for intact stability of multihull craft).
6. The initial Transverse Metacentric Height ( GMo ) should not less than 0.15 M
4. SECT. 2.3 SEVERE WIND AND ROLLING CRITERION (WEATHER CRITERION)
The ability of a ship to withstand the combined effects of beam wind and rolling should be
demonstrated for each standard condition of loading, with reference to figure as follow :
1. The ship is subjected to a steady wind pressure acting perpendicular to the ship’s
centerline that results in a steady wind-heeling lever (lw1).
2. From the resultant angle of equilibrium (0), the ship is assumed to roll owing to
wave action to an angle of roll (1) to windward. Attention should be paid to the
effect of steady wind so that excessive resultant angles of heel are avoided.
3. The ship is then subjected to a gust wind pressure that result in a gust wind-heeling
lever (lw2).
4. Under these circumstances, area b should be equal to or greater than area a.
5. Free surface effects should be accounted for in the standard condition of loading.
a
Lw
1
Lever
Lw2
Angle of Heel ?2
MG
GZ
b
Angle in above figure are define as follow :
0 : Angle of heel under action of steady wind.
1 : Angle of roll windward due to wave action.
2 : Angle of down flooding (f) or 50 or c, whichever is less, where:
f : Angle of heel at which opening in the hull, superstructures or deck house
which cannot be closed weather tight immerse. In applying this criterion,
small opening through which progressive flooding cannot take place need
not be considered as open.
c : Angle of second intercept between wind heeling lever (lw1) and GZ curve.
The wind heeling lever (lw1) and (lw2) are constant value at all angles of inclination and should
be calculated as follow :
5. )
(
10000
1 m
g
PAZ
lw
= and
)
(
5
.
1 1
2 m
l
l w
w =
where :
P : Wind pressure of 504 Pa. The value of P used for ship in restricted service
may be reduced, subject to approval of the Administration.
A : Projected lateral area of the portion of the ship and deck cargo above base
line (m2).
Z : Vertical distance from the center of A to the center of the under water lateral
area or approximately to a point at one half the mean draught (m).
: Displacement (t).
g : Gravitational acceleration of 9.81 m/s2.
The angle of roll (1) should be calculated as follow :
)
(deg
109 2
1
1 re
rs
X
kX
=
where :
X1 : Factor as shown in table 1.
X2 : Factor as shown in table 2.
k : Factor as follow :
k : 1.0 for a round bilged ship having no bilge or bar keels
k : 0.7 for a ship having sharp bilges.
k : as shown in table 3 for a ship having bilge keels, a bar
keel or both.
r : 0.73 ± 0.6OG/d
with :
OG : Distance between the center of gravity and the water line (m) (+ if the
center of gravity is above the waterline, - if it is below)
d : Mean molded draught of the ship (m)
s : Factor as shown in table 4.
Table 1 Table 2 Table 3 Table 4
B/d X1 CB X2
LxB
x
Ak 100 k T s
≤ 2.4 1.00 ≤ 0.45 0.75 0.0 1.00 ≤ 6 0.100
2.5 0.98 0.50 0.82 1.0 0.98 7 0.098
2.6 0.96 0.55 0.89 1.5 0.95 8 0.093
2.7 0.95 0.60 0.95 2.0 0.88 12 0.065
2.8 0.93 0.65 0.97 2.5 0.79 14 0.053
2.9 0.91 ≥ 0.70 1 3.0 0.74 16 0.044
6. Table 1 Table 2 Table 3 Table 4
3.0 0.90 3.5 0.72 18 0.038
3.1 0.88 ≥ 4.0 0.70 ≥ 20 0.035
3.2 0.86
3.4 0.82
≥ 4.0 0.80
(Intermediate value in these tables should be obtained by linear interpolation)
)
(
2
s
GM
CB
iodT
RollingPer =
where : ( ) ( )
100
043
.
0
023
.
0
373
.
0 L
d
B
C −
+
=
The symbols in the above tables and formula for rolling period are defined as follow :
L : Length of the ship at waterline (m).
B : Molded breadth of the ship (m).
d : Mean molded draught of the ship (m).
CB : Block coefficient.
Ak : Total overall area of bilge keel, or area of lateral projection of the bar keel, or
sum of these areas (m2)
GM : Metacentric height corrected fro free surface effects (m).
CHAPTER 3 – SPECIAL CRITERIA FOR CERTAIN TYPES OF SHIPS
SECT. 3.1 PASSENGER SHIPS
1. The angle of heel on account of crowding of passengers to one side as defined below
shall not exceed 10 degree.
2. A mass of 75 kg should be assumed for each passenger except that this value may be
reduced to not less than 60 kg where this can be justified. In addition, the mass and
distribution of the luggage should be determined by the Administration.
3. The height of the center of gravity for passenger should be assumed equal to 1.0 m
above deck level for passenger standing upright. Account may be taken, if necessary, of
camber and sheer of deck or 0.30 m above the seat in respect of seated passenger.
7. STANDARD LOADING CONDITION TO BE EXAMINED
The standard loading conditions that will be examined are as follow:
1. Loadcase 1 (Lightship)
No passenger, no diving gear, no fishing gear
2. Loadcase 2
25% passenger, 25% diving gear, 25% fishing gear
3. Loadcase 3
50% passenger, 50% diving gear, 50% fishing gear
4. Loadcase 4
75% passenger, 75% diving gear, 75% fishing gear
5. Loadcase 5
100% passenger, 100% diving gear, 100% fishing gear
.
INSTRUCTION TO THE MASTER CONCERNING STABILITY
1. Compliance with the stability criteria does not ensure immunity against capsizing,
regardless of the circumstances, or absolve the master from his responsibilities. Master
should therefore exercise prudence and good seamanship, having regard to the season of
the year, weather forecasts and the navigation zone, and should take the appropriate action
as to speed and course warranted by the prevailing circumstances.
2. Care should be taken that the cargo allocated to the ship is capable of being stowed so
that compliance with the criteria can be achieved. If necessary, the amount should be
limited to the extent that ballast weight may be required.
3. Before a voyage commences, care should be taken to ensure that the cargo and sizeable
pieces of equipment have been properly stowed or lashed so as to minimize the possibility
of both longitudinal and lateral shifting, while at sea, under the effect of acceleration caused
by rolling and pitching.
4. For all loading condition, the initial metacentric height and the righting lever curve should
be corrected for the effect of free surface of liquid in tanks.
OPERATIONAL PROCEDURE BEFORE AND IN HEAVY WEATHER
1. All doorways and other opening through which water can enter into the hull or deck-house,
forecastle, etc., should be suitable closed in adverse weather condition and accordingly all
appliances for this purpose should be maintained on board and in good condition.
2. Weather tight and watertight hatches, door, etc., should be kept closed during navigation,
except when necessary opened for the working of the ship, and should always be ready for
immediate closure and be clearly marked to indicate that these fitting are to be kept closed
except for access. Hatch cover and flush deck scuttle in fishing vessels should be kept
properly secured when not in use during fishing operation. All portable deadlight should be
maintained in good condition and securely closed in bad weather.
3. Any closing devices provided for vent pipes to fuel tank should be secured in bad weather.
8. 4. In all condition of loading, necessary care should be taken to maintain a seaworthy
freeboard.
3. METRIC CONVERSIONS
METRIC EQUIVALENT
MULTIPLY BY TO CONVERT FROM TO OBTAIN
0.03939 MILIMETERS INCHES 25.400*
0.3937 CENTIMETERS INCHES 2.540*
3.2808 METERS FEET 0.3048*
2.2046 KILOGRAMS POUNDS 0.4535
0.0009842 KILOGRAMS TONS ( 2240 LBS ) 1016.047
0.9842
METRIC TONS
( i.e. TONNES OF 1000
KILOS )
TONS ( 2240 LBS ) 1.016
2.4998
METRIC TON PER
CENTIMETER
( at immersion )
TON PER INCH 0.400
8.2014
MOMENT TO
CHANGE TRIM ONE
CENTIMETER
( TONNE METER UNIT
)
MOMENT TO
CHANGE TRIM ONE
INCHES
( TONNE FEET UNIT )
0.122
187.9767 METER RADIANS FEET DEGREES 0.0053
TO OBTAIN TO CONVERT FROM
MULTIPLY BY
ABOVE
* FIGURES IN ITALIC INDICATE EXACT FACTOR
RELATION BETWEEN WEIGHT AND VOLUME :
10 MM CUBIC : 1.000 CM CUBIC
1 CUBIC CENTIMETER OF FRESH WATER ( SG 1.000 ) : 1.000 GRAM
1000 CUBIC CENTIMETER OF FRESH WATER ( SG 1.000 ) : 1.000 KG ( 1000 GM )
1 CUBIC METER OF SALT WATER ( SG 1.025 ) : 1.025 TONNES
1 TONNES OF SALT WATER ( SG 1.025 ) : 0.975 CUBIC METERS
1 CUBIC METER : 35.316 CUBIC FEET
1 CUBIC FEET : 0.0283 CUBIC METERS
9. 4. KN CURVE CONCEPT DIAGRAM
RINGTING LEVER. GZ = KN - KG.Sin 9
DEFINITION
GZ
KN
KG
KR
8
B
K
M
RIGHTING LEVER MEASURED FROM G
LEVER MEASURED FROM K ( Lc )
CENTRE OF GRAVITY ABOVE KEEL
WATER LINE RADIUS
ANGLE OF HEEL
CENTRE OF BOUYANCY
KEEL
METACENTRE
24. A. Procedure of Inclining Test
Inclining Weight
Used 4 Lots cement Block.
2 located on Port side and 2 anothers located on Starboard side.
Transversal Arranggement Movement : 6.00 M
Pendulum :
For This Experiment used two ( 2 ) Pendulum
1 Pendulum No. 01 hung at the Bar to a Bucket Full of Oil on Aft. Main Deck
The Length of line : 4.05 M
Equipment Weight : 24.40 KG
Vertical Center Of Gravity : 2.800 M
Longitudinal Center Of Gravity : 2.00 M
2 Pendulum No. 02 hung at the Bar to a Bucket Full of Oil on Fwd. Upper Deck at Frame N0. 135
The Length of line : 4.05 M
Equipment Weight : 24.40 KG
Vertical Center Of Gravity : 2.800 M
Longitudinal Center Of Gravity : 15.00 M
B. Test Condition :
Wheather : Fine & Calm
Mooring Arrangement : All hawsers Slack
Condition of Vessel : Vessel completed with Bilge dry and all Tanks Dry
C. Draft Reading ( Taken immediately before the start of experiment )
Aft Mark Position : 0.5 Fwd AP Aft Port : 1.230 M
Aft Stb : 1.230 M
Average : 1.230 M
Fore Mark Position 0.5 Aft FP Fore Port : 1.160 M
Fore Stb : 1.160 M
Average : 1.160 M
Total Trim Between Marks : 0.070 M
Trim > 0,01 % LBP
LBP : 15.89 M
Distance between Marks :
: 15.89 - ( 0.5 + 0,5 )
: 14.888 M
Draft at FP :
: 1.158 M
Draft at AP :
: 1.232 M
Total Trim Between Perpendicular : 0.075 M By Stern
Design Trim Vessel : 0.000 M
INCLINING TEST REPORT
1.529 - {( 0.07 x 4.193 ) / 38.957}
LBP - ( 0.5 + 0.5)
1.599 + {( 0.07 x 5.0 ) /38.957}
25. GENERAL PARTICULARS
Ship Type : Recreational Boat
Ship Name : KLM Utopia
Length Over All ( LOA ) : 16.55 M
Moulded Breadth ( B ) : 7.98 M
Moulded Depth ( H ) : 2.55 M
Moulded Draught ( T ) : 1.32 M
TEST PLACE & CONDITION
Wheater : Calm
Wind : Steady
Spesific gravity (Fresh water) : 1.0250 T/M3
Sea Wave Condition : 0 ~ 1 M
Wave Direction and Strength : West-East < 1M/Sec
Sea Water Temperature : 30º C
DRAFT PRA INCLINING TEST
T aft ( Ave. ) : 1.280 M ( Extreme )
T fore ( Ave. ) : 1.210 M ( Extreme )
Keel Thk : 50.000 MM
T aft ( Ave. ) : 1.230 M ( From Base Line )
T fore ( Ave. ) : 1.160 M ( From Base Line )
Mean Draft : 1.195 M
Trim By : Stern
INCLINING TEST DATA
Numbers of Weighting Block : 4 Lots Cement Block
Arrangement movement Distance : 6.00 M
Methode Of Handling : Manual
Weight Block Position : Main Deck
Weighting A Weight : 0.298 Ton
LCG : 5.000 M
VCG : 2.750 M
Weighting B Weight : 0.304 Ton
LCG : 10.000 M
VCG : 2.750 M
Weighting C Weight : 0.302 Ton
LCG : 7.500 M
VCG : 2.750 M
Weighting D Weight : 0.299 Ton
LCG : 12.500 M
VCG : 2.750 M
Person on Board at Inclining test : On Fwd. Main Deck
1 Person : 0.075 Ton
LCG : 13.000 M
VCG : 3.350 M
On Aft. Main Deck
1 Person : 0.075 Ton
LCG : 3.500 M
VCG : 3.350 M
On Midship
2 Person : 0.150 Ton
LCG : 8.000 M
VCG : 3.350 M
INCLINING TEST REPORT
26. D. Result Of Inclining Test
A = 0.298 ton
B = 0.304 ton
C = 0.302 ton
D = 0.299 ton
Pendulum 01 = 0.00 cm
A C
B D Pendulum 02 = 0.00 cm
A C Pendulum 01 = 2.80 cm
D 0.00
B Pendulum 02 = 4.00 cm
0.00
0.00
C Pendulum 01 = 2.87 cm
D 0.00
B Pendulum 02 = 4.00 cm
A 0.00
0.00
A C Pendulum 01 = 2.87 cm
D 0.00
B Pendulum 02 = 4.07 cm
0.00
0.00
Pendulum 01 = 2.80 cm
A C 0.00
B D Pendulum 02 = 4.00 cm
0.00
0.00
A C Pendulum 01 = 2.80 cm
B 0.00
D Pendulum 02 = 4.07 cm
0.00
0.00
A Pendulum 01 = 2.87 cm
B 0.00
D Pendulum 02 = 4.00 cm
C 0.00
0.00
A C Pendulum 01 = 2.80 cm
B 0.00
D Pendulum 02 = 4.00 cm
0.00
0.00
Pendulum 01 = 2.80 cm
A C 0.00
B D Pendulum 02 = 4.00 cm
INCLINING TEST REPORT
SHIFT
WEIGHT DISTRIBUTION ( TON )
PENDULUM DEFLECTION
PORT STARBOARD
WEIGHT
MOVEMENT
1 0.298 0.905
3 0.298 0.905
2 0.000 1.203
1.203 0.000
5 0.901 0.302
4 0.602 0.601
8 0.602 0.601
0.601
0.602
0
7 0.901 0.302
6
27. MG at Inclining Test
p x b p = Weight of Block which Moved
P tan α b = Movement Distance
P = Ship Displacement
WEIGHT
Tonne Pendulum 1 Pendulum 2 Pendulum 1 Pendulum 2
1 0.304 0.0069 0.0099 16.3463 11.4424
2 0.298 0.0071 0.0099 15.6510 11.2165
3 0.298 0.0071 0.0100 15.6510 11.0327
4 0.304 0.0069 0.0099 16.3463 11.4424
5 0.299 0.0069 0.0100 16.0774 11.0697
6 0.302 0.0071 0.0099 15.8611 11.3671
7 0.302 0.0069 0.0099 16.2387 11.3671
8 0.299 0.0069 0.0099 16.0774 11.2542
128.2491 90.1920
13.653 m
Hydrostatics ( At Specified Condition )
Displacement ( ∆ ) = 16.14 Ton
Midship F ( LCF ) = 1.247 m from Zero Point
Midship B ( LCB ) = -0.403 m from Zero Point
KB = 0.855 m from Base Line
TPC = 0.284 Ton/cm
MTC = 0.18 Ton.m
KML = 19.466 m
KMt = 15.642 m
Tonne. M
6.00 1.824
6.00 1.812
6.00 1.794
6.00 1.788
6.00
INCLINING TEST REPORT
MG' =
6.00 1.824
tan α MG'
M
SHIFT
DISTANCE MOMENT
MG' Average =
1.788
Total =
6.00 1.812
6.00 1.794
28. MG' Correction Due Of Free Surface Moment o fLiquid Tank
Total Free Surface Moment = 0.000
Correction = { Mfs/∆ } m
= 0.000 m
MG = 11.484 - 0,000
= 13.653 m
Vertical of Center Gravity Above Base Line ( VCG ) at Inclining
VCG = MK - MG
= 15,024 - 11,484
= 1.989 m
Longitudinal of Center Gravity From Zero Point ( LCG )
LCG = LCB + ( VCG - VCB ) tan θ
= -0.398 m
Lightship data after verification of man & other equipment at inclining test
( W x KG ) ( W x LCG )
Tonne Meter Tonne.m Tonne.m
16.1400 1.989 32.109 -6.418
0.075 3.350 0.251 0.975
0.075 3.350 0.251 0.263
0.150 3.350 0.503 1.200
0.024 2.800 0.068 0.049
0.024 2.800 0.068 0.366
0.298 2.750 0.820 1.490
0.304 2.750 0.836 3.040
0.302 2.750 0.831 2.265
0.299 2.750 0.822 3.738
14.59 1.90 27.66 -19.80
TEST RESULT
Inclining Test
Draft Forward ( Td ) = 1.160 m
Draft After ( Tb ) = 1.230 m
Dispalcement at Inclining = 16.140 Ton
KG at Inclining = 1.989 m
LCG at Inclining = -0.398 m
MK at Inclining = 15.642 m
Light Ship
Light Ship Weight = 14.59 Ton
Light Ship VCG = 1.896 m
Light Ship LCG = -1.357 m
Meter
13.000
- Pendulum No.1 ( Set )
- Person On Aft. Upper Deck
10.000
3.500
INCLINING TEST REPORT
Description
Weight KG LCG
- Weighting D
5.000
7.500
12.500
Moment
∆ at Inclining test
Weight Reduction
- Person On Fwd. Upper Deck
- Person On Midship 8.000
2.000
15.000
-0.398
Light Ship -1.36
- Pendulum No.2 ( Set )
- Weighting A
- Weighting B
- Weighting C
30. Specified Condition - KLM Utopia
Fixed Trim = 0.07 m (+ve by stern)
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Draft Amidsh. m 1.245
Displacement tonne 16.14
Heel to Starboard degrees 0.0
Draft at FP m 1.210
Draft at AP m 1.280
Draft at LCF m 1.247
Trim (+ve by stern) m 0.070
WL Length m 13.691
WL Beam m 7.052
Wetted Area m^2 63.372
Waterpl. Area m^2 27.679
Prismatic Coeff. 0.705
Block Coeff. 0.352
Midship Area Coeff. 0.500
Waterpl. Area Coeff. 0.781
LCB from Amidsh. (+ve fwd) m -0.403
LCF from Amidsh. (+ve fwd) m -0.544
KB m 0.855
KG m 1.720
BMt m 14.787
BML m 18.611
GMt m 13.931
GML m 17.754
KMt m 15.642
KML m 19.466
Immersion (TPc) tonne/cm 0.284
MTc tonne.m 0.180
RM at 1deg = GMt.Disp.sin(1) tonne.m 3.925
Max deck inclination deg 0.3
Trim angle (+ve by stern) deg 0.3
32. Stability Calculation - KLM Utopia
Loadcase - Loadcase1
Damage Case - Intact
Free to Trim
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Fluid analysis method: Use corrected VCG
Item
Name
Quantity Weight
tonne
Long.Arm
m
Vert.Arm m Trans.Arm
m
FS Mom.
tonne.m
Lightship 1 14.59 -1.357 1.896 0.000 0.000
Passenger 0 0.0000 0.000 0.000 0.000 0.000
Dive Gear 0 0.0000 0.000 0.000 0.000 0.000
Fishing
Gear
0 0.0000 0.000 0.000 0.000 0.000
Total
Weight=
14.59 LCG=-1.
357
VCG=1.896 TCG=0.00
0
0
FS corr.=0
VCG fluid=1.896
-3
-2
-1
0
1
2
3
-20 0 20 40 60 80
Max GZ = 2.585 m at 16.4 deg.
1.5: HTL: Area betw een GZ and HA Hpc + Hw
1.5: HTL: Area betw een GZ and HA Ht + Hw
3.2.1: HL1: Angle of equilibrium Wind heeling (Hw )
3.1.2.4: Initial GMt GM at 0.0 deg = 14.630 m
3.1.2.5: Passenger crow ding: angle of equilibrium
3.1.2.6: Turn: angle of equilibrium
3.2.2: Severe w ind and rolling Wind Heeling (steady)
3.2.2: Severe w ind and rolling Wind Heeling (gust)
Heel to Starboard deg.
GZ
m
Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
Displacement tonne 14.59 14.59 14.59 14.59 14.59 14.59
Draft at FP m -0.743 -0.075 0.491 0.676 0.491 -0.074
Draft at AP m 0.470 1.086 1.500 1.605 1.500 1.085
WL Length m 14.073 14.124 14.041 13.379 14.041 14.124
Immersed Depth m 1.514 1.655 1.652 1.295 1.652 1.655
WL Beam m 3.828 3.846 7.064 7.119 7.064 3.846
Wetted Area m^2 44.468 44.199 53.576 60.158 53.571 44.201
Waterpl. Area m^2 20.312 19.095 23.181 26.491 23.179 19.097
Prismatic Coeff. 0.620 0.620 0.596 0.610 0.596 0.620
Block Coeff. 0.350 0.328 0.253 0.305 0.253 0.329
LCB from Amidsh.
(+ve fwd) m
-1.497 -1.474 -1.436 -1.419 -1.437 -1.473
VCB from DWL m -0.453 -0.489 -0.456 -0.374 -0.456 -0.489
33. Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
GZ m -2.266 -2.546 -2.216 0.000 2.216 2.546
LCF from Amidsh.
(+ve fwd) m
-1.348 -1.339 -1.418 -1.538 -1.418 -1.338
TCF to zero pt. m -3.455 -3.356 -1.819 0.000 1.819 3.356
Max deck
inclination deg
30.2 20.4 10.6 3.3 10.6 20.4
Trim angle (+ve by
stern) deg
4.4 4.2 3.6 3.3 3.6 4.2
Heel to Starboard
degrees
30.0 40.0 50.0 60.0 70.0 80.0
Displacement tonne 14.59 14.59 14.59 14.59 14.59 14.59
Draft at FP m -0.742 -1.569 -2.708 -4.502 -7.868 -17.519
Draft at AP m 0.470 -0.303 -1.341 -2.884 -5.728 -13.794
WL Length m 14.073 13.988 13.853 13.644 13.558 14.662
Immersed Depth m 1.514 1.315 1.074 0.811 0.795 0.789
WL Beam m 3.828 3.742 3.421 2.988 2.444 2.570
Wetted Area m^2 44.469 45.055 45.923 46.533 46.542 45.934
Waterpl. Area m^2 20.313 22.215 23.724 24.879 26.157 28.133
Prismatic Coeff. 0.620 0.621 0.629 0.649 0.667 0.634
Block Coeff. 0.350 0.372 0.433 0.552 0.552 0.479
LCB from Amidsh.
(+ve fwd) m
-1.496 -1.509 -1.511 -1.511 -1.503 -1.489
VCB from DWL m -0.453 -0.403 -0.348 -0.304 -0.280 -0.285
GZ m 2.266 1.931 1.554 1.146 0.716 0.291
LCF from Amidsh.
(+ve fwd) m
-1.347 -1.284 -1.057 -0.879 -0.816 -0.783
TCF to zero pt. m 3.455 3.450 3.286 2.972 2.533 2.006
Max deck
inclination deg
30.2 40.1 50.1 60.0 70.0 80.0
Trim angle (+ve by
stern) deg
4.4 4.6 4.9 5.8 7.7 13.2
Heel to Starboard
degrees
90.0
Displacement tonne 14.59
Draft at FP m N/A
Draft at AP m N/A
WL Length m 15.398
Immersed Depth m 0.956
WL Beam m 2.516
Wetted Area m^2 44.396
Waterpl. Area m^2 27.593
Prismatic Coeff. 0.627
Block Coeff. 0.384
LCB from Amidsh.
(+ve fwd) m
-1.487
VCB from DWL m -0.321
GZ m -0.124
LCF from Amidsh.
(+ve fwd) m
-1.002
TCF to zero pt. m 1.527
Max deck
inclination deg
90.0
Trim angle (+ve by
stern) deg
90.0
34. Code Criteria Value Units Actual Status
HSC multi.
Intact
1.1: Area
from 0 to 30
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg
angle of max.
GZ
16.4 deg 16.4
first
downflooding
angle
n/a deg
angle of
vanishing
stability
87.0 deg
higher heel
angle
30.0 deg
required GZ
area at higher
heel angle
3.151 m.deg
shall not be
less than
(>=)
5.777 m.deg 27.912 Pass
HSC multi.
Intact
1.2: Angle of
maximum
GZ
Pass
shall not be
less than
(>=)
10.0 deg 16.4 Pass
HSC multi.
Intact
1.5: HTL:
Area
between GZ
and HA
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
3.000 m
cosine power:
n =
0
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 1
35. Code Criteria Value Units Actual Status
vessel speed:
v =
10.000 kts
turn radius: R
=
100.000 m
h = KG -
mean draught
/ 2
1.326 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.50102
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = waterline 1.140 m
cosine power:
n =
0
Area
integrated
from the
greater of
angle of
equilibrium
(with heel
arm)
0.7 deg 1.1, 0.5
to the lesser
of
spec. angle
above
equilibrium
(with heel
arm)
15.0 (15.7) deg 15.0 (16.1),
15.0 (15.5)
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
heel arm)
82.5 deg 80.2, 83.7
Criteria:
Area
between GZ
and heeling
arms shall
not be less
than (>=)...
Pass
Hpc + Hw 1.604 m.deg 22.720 Pass
Ht + Hw 1.604 m.deg 23.633 Pass
Intermediate
values
Pass. m 0.185
36. Code Criteria Value Units Actual Status
crowding heel
arm
amplitude
(Hpc)
Turning heel
arm
amplitude (Ht)
m 0.036
Model
windage area
m^2 21.735
Model
windage area
centroid
height
m 1.896
Total windage
area
m^2 24.735
Total windage
area centroid
height
m 1.909
Wind heeling
heel arm
amplitude
(Hw)
m 0.100
Area under
GZ curve,
from 1.1 to
16.1 deg.
m.deg 26.992
Area under
GZ curve,
from 0.5 to
15.5 deg.
m.deg 25.666
Area under
Hpc + Hw,
from 1.1 to
16.1 deg.
m.deg 4.273
Area under Ht
+ Hw, from
0.5 to 15.5
deg.
m.deg 2.033
HSC multi.
Intact
3.2.1: HL1:
Angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
50
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
2.000 m
cosine power:
n =
0
Turn arm: a
37. Code Criteria Value Units Actual Status
v^2 / (R g) h
cos^n(phi)
constant: a = 1
vessel speed:
v =
40.000 kts
turn radius: R
=
200.000 m
h = KG -
mean draught
/ 2
1.326 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.00068
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
3.000 m
additional
area: A =
10.000 m^2
H = mean
draught / 2
0.570 m
cosine power:
n =
0
Criteria:
Angle of
equilibrium
due to the
following
shall not be
greater than
(<=)...
Pass
Wind heeling
(Hw)
16.0 deg 0.7 Pass
Intermediate
values
Model
windage area
m^2 21.735
Model
windage area
centroid
height
m 1.896
Total windage
area
m^2 31.735
Total windage
area centroid
height
m 2.244
Wind heeling
heel arm
amplitude
(Hw)
m 0.186
A.749(18)
Ch3 - Design
3.1.2.1: Area
0 to 30
Pass
38. Code Criteria Value Units Actual Status
criteria
applicable to
all ships
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg 30.0
angle of
vanishing
stability
87.0 deg
shall not be
less than
(>=)
3.151 m.deg 61.420 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
0 to 40
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability
87.0 deg
shall not be
less than
(>=)
5.157 m.deg 82.433 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
30 to 40
Pass
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of 87.0 deg
39. Code Criteria Value Units Actual Status
vanishing
stability
shall not be
less than
(>=)
1.719 m.deg 21.013 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.2: Max
GZ at 30 or
greater
Pass
in the range
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
180.0 deg 180.0
angle of max.
GZ
16.4 deg
shall not be
less than
(>=)
0.200 m 2.266 Pass
Intermediate
values
angle at
which this GZ
occurs
deg 30.0
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.4: Initial
GMt
Pass
spec. heel
angle
0.0 deg
shall not be
less than
(>=)
0.150 m 14.630 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.5:
Passenger
crowding:
angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from 3.500 m
40. Code Criteria Value Units Actual Status
centre line: D
=
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.8 Pass
Intermediate
values
Heel arm
amplitude
m 0.216
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.6: Turn:
angle of
equilibrium
Pass
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 0.9996
vessel speed:
v =
0.000 kts
turn radius, R,
as
percentage of
Lwl
510.00 %
h = KG -
mean draught
/ 2
1.326 m
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.0 Pass
Intermediate
values
Heel arm
amplitude
m 0.000
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.2.2: Severe
wind and
rolling
Pass
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 0.99966
wind
pressure: P =
504.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = vert.
centre of
0.621 m
41. Code Criteria Value Units Actual Status
projected lat.
u'water area
cosine power:
n =
0
gust ratio 1.5
Area2
integrated to
the lesser of
roll back
angle from
equilibrium
(with steady
heel arm)
25.0 (-24.6) deg -24.6
Area 1 upper
integration
range, to the
lesser of:
spec. heel
angle
50.0 deg 50.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
gust heel
arm)
83.0 deg
Angle for
GZ(max) in
GZ ratio, the
lesser of:
angle of max.
GZ
16.4 deg 16.4
Select
required
angle for
angle of
steady heel
ratio:
DeckEdgeIm
mersionAngle
Criteria: Pass
Angle of
steady heel
shall not be
greater than
(<=)
16.0 deg 0.4 Pass
Angle of
steady heel /
Deck edge
immersion
angle shall
not be
greater than
(<=)
80.000 % 1.115 Pass
Area1 /
Area2 shall
not be less
than (>=)
100.000 % 173.136 Pass
Intermediate
42. Code Criteria Value Units Actual Status
values
Model
windage area
m^2 21.735
Model
windage area
centroid
height
m 1.896
Total windage
area
m^2 24.735
Total windage
area centroid
height
m 1.909
Heel arm
amplitude
m 0.112
Equilibrium
angle with
steady heel
arm
deg 0.4
Equilibrium
angle with
gust heel arm
deg 0.6
Deck edge
immersion
angle
deg 37.6
Area1 (under
GZ), from 0.6
to 50.0 deg.
m.deg 99.840
Area1 (under
HA), from 0.6
to 50.0 deg.
m.deg 8.307
Area1, from
0.6 to 50.0
deg.
m.deg 91.533
Area2 (under
GZ), from
-24.6 to 0.6
deg.
m.deg -48.626
Area2 (under
HA), from
-24.6 to 0.6
deg.
m.deg 4.242
Area2, from
-24.6 to 0.6
deg.
m.deg 52.868
43. Stability Calculation - KLM Utopia
Loadcase - Loadcase2
Damage Case - Intact
Free to Trim
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Fluid analysis method: Use corrected VCG
Item
Name
Quantity Weight
tonne
Long.Arm
m
Vert.Arm m Trans.Arm
m
FS Mom.
tonne.m
Lightship 1 14.59 -1.357 1.896 0.000 0.000
Passenger 3 0.0750 -1.000 3.425 0.000 0.000
Dive Gear 3 0.0500 0.250 2.700 0.000 0.000
Fishing
Gear
3 0.0300 0.400 2.800 0.000 0.000
Total
Weight=
15.06 LCG=-1.
325
VCG=1.932 TCG=0.00
0
0
FS corr.=0
VCG fluid=1.932
-3
-2
-1
0
1
2
3
-20 0 20 40 60 80
Max GZ = 2.571 m at 17.3 deg.
1.5: HTL: Area betw een GZ and HA Hpc + Hw
1.5: HTL: Area betw een GZ and HA Ht + Hw
3.2.1: HL1: Angle of equilibrium Wind heeling (Hw )
3.1.2.4: Initial GMt GM at 0.0 deg = 14.386 m
3.1.2.5: Passenger crow ding: angle of equilibrium
3.1.2.6: Turn: angle of equilibrium
3.2.2: Severe w ind and rolling Wind Heeling (steady)
3.2.2: Severe w ind and rolling Wind Heeling (gust)
Heel to Starboard deg.
GZ
m
Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
Displacement tonne 15.05 15.05 15.06 15.06 15.05 15.05
Draft at FP m -0.703 -0.036 0.525 0.707 0.525 -0.035
Draft at AP m 0.485 1.101 1.510 1.612 1.510 1.100
WL Length m 14.125 14.175 14.083 13.416 14.082 14.175
Immersed Depth m 1.533 1.676 1.668 1.310 1.668 1.675
WL Beam m 3.844 3.857 7.075 7.123 7.075 3.857
Wetted Area m^2 45.261 44.992 54.743 61.257 54.738 44.991
Waterpl. Area m^2 20.609 19.367 23.616 26.977 23.613 19.367
Prismatic Coeff. 0.624 0.623 0.599 0.614 0.599 0.623
Block Coeff. 0.349 0.332 0.255 0.307 0.255 0.332
LCB from Amidsh.
(+ve fwd) m
-1.463 -1.441 -1.403 -1.387 -1.404 -1.440
VCB from DWL m -0.460 -0.497 -0.461 -0.379 -0.461 -0.496
44. Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
GZ m -2.255 -2.538 -2.187 0.000 2.187 2.538
LCF from Amidsh.
(+ve fwd) m
-1.314 -1.301 -1.380 -1.510 -1.381 -1.300
TCF to zero pt. m -3.465 -3.363 -1.788 0.000 1.788 3.363
Max deck
inclination deg
30.2 20.4 10.6 3.3 10.6 20.4
Trim angle (+ve by
stern) deg
4.3 4.1 3.5 3.3 3.5 4.1
Heel to Starboard
degrees
30.0 40.0 50.0 60.0 70.0 80.0
Displacement tonne 15.05 15.05 15.05 15.05 15.05 15.05
Draft at FP m -0.703 -1.529 -2.670 -4.460 -7.811 -17.415
Draft at AP m 0.485 -0.287 -1.318 -2.851 -5.682 -13.709
WL Length m 14.125 14.041 13.909 13.711 13.667 14.744
Immersed Depth m 1.533 1.333 1.092 0.828 0.812 0.804
WL Beam m 3.844 3.745 3.414 2.977 2.438 2.574
Wetted Area m^2 45.262 45.819 46.685 47.337 47.289 46.733
Waterpl. Area m^2 20.611 22.397 23.763 24.834 26.033 28.062
Prismatic Coeff. 0.624 0.624 0.633 0.652 0.668 0.636
Block Coeff. 0.349 0.375 0.439 0.561 0.559 0.481
LCB from Amidsh.
(+ve fwd) m
-1.462 -1.475 -1.477 -1.479 -1.470 -1.456
VCB from DWL m -0.460 -0.410 -0.356 -0.312 -0.288 -0.292
GZ m 2.255 1.916 1.535 1.120 0.683 0.251
LCF from Amidsh.
(+ve fwd) m
-1.312 -1.244 -1.011 -0.830 -0.781 -0.720
TCF to zero pt. m 3.465 3.458 3.292 2.975 2.539 2.008
Max deck
inclination deg
30.2 40.1 50.1 60.0 70.0 80.0
Trim angle (+ve by
stern) deg
4.3 4.5 4.9 5.8 7.6 13.1
Heel to Starboard
degrees
90.0
Displacement tonne 15.05
Draft at FP m N/A
Draft at AP m N/A
WL Length m 15.458
Immersed Depth m 0.971
WL Beam m 2.533
Wetted Area m^2 45.236
Waterpl. Area m^2 27.823
Prismatic Coeff. 0.629
Block Coeff. 0.386
LCB from Amidsh.
(+ve fwd) m
-1.453
VCB from DWL m -0.327
GZ m -0.168
LCF from Amidsh.
(+ve fwd) m
-0.932
TCF to zero pt. m 1.519
Max deck
inclination deg
90.0
Trim angle (+ve by
stern) deg
90.0
45. Code Criteria Value Units Actual Status
HSC multi.
Intact
1.1: Area
from 0 to 30
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg
angle of max.
GZ
17.3 deg 17.3
first
downflooding
angle
n/a deg
angle of
vanishing
stability
86.0 deg
higher heel
angle
30.0 deg
required GZ
area at higher
heel angle
3.151 m.deg
shall not be
less than
(>=)
5.473 m.deg 29.923 Pass
HSC multi.
Intact
1.2: Angle of
maximum
GZ
Pass
shall not be
less than
(>=)
10.0 deg 17.3 Pass
HSC multi.
Intact
1.5: HTL:
Area
between GZ
and HA
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
3.000 m
cosine power:
n =
0
Turn arm: a
v^2 / (R g) h
cos^n(phi)
46. Code Criteria Value Units Actual Status
constant: a = 1
vessel speed:
v =
10.000 kts
turn radius: R
=
100.000 m
h = KG -
mean draught
/ 2
1.353 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.50102
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = waterline 1.159 m
cosine power:
n =
0
Area
integrated
from the
greater of
angle of
equilibrium
(with heel
arm)
0.7 deg 1.0, 0.5
to the lesser
of
spec. angle
above
equilibrium
(with heel
arm)
15.0 (15.7) deg 15.0 (16.0),
15.0 (15.5)
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
heel arm)
81.7 deg 79.5, 82.8
Criteria:
Area
between GZ
and heeling
arms shall
not be less
than (>=)...
Pass
Hpc + Hw 1.604 m.deg 22.512 Pass
Ht + Hw 1.604 m.deg 23.371 Pass
Intermediate
values
47. Code Criteria Value Units Actual Status
Pass.
crowding heel
arm
amplitude
(Hpc)
m 0.179
Turning heel
arm
amplitude (Ht)
m 0.037
Model
windage area
m^2 21.472
Model
windage area
centroid
height
m 1.906
Total windage
area
m^2 24.472
Total windage
area centroid
height
m 1.917
Wind heeling
heel arm
amplitude
(Hw)
m 0.094
Area under
GZ curve,
from 1.0 to
16.0 deg.
m.deg 26.615
Area under
GZ curve,
from 0.5 to
15.5 deg.
m.deg 25.332
Area under
Hpc + Hw,
from 1.0 to
16.0 deg.
m.deg 4.104
Area under Ht
+ Hw, from
0.5 to 15.5
deg.
m.deg 1.961
HSC multi.
Intact
3.2.1: HL1:
Angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
50
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
2.000 m
cosine power:
n =
0
48. Code Criteria Value Units Actual Status
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 1
vessel speed:
v =
40.000 kts
turn radius: R
=
200.000 m
h = KG -
mean draught
/ 2
1.353 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.00068
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
3.000 m
additional
area: A =
10.000 m^2
H = mean
draught / 2
0.580 m
cosine power:
n =
0
Criteria:
Angle of
equilibrium
due to the
following
shall not be
greater than
(<=)...
Pass
Wind heeling
(Hw)
16.0 deg 0.7 Pass
Intermediate
values
Model
windage area
m^2 21.472
Model
windage area
centroid
height
m 1.906
Total windage
area
m^2 31.472
Total windage
area centroid
height
m 2.253
Wind heeling
heel arm
amplitude
(Hw)
m 0.178
A.749(18) 3.1.2.1: Area Pass
49. Code Criteria Value Units Actual Status
Ch3 - Design
criteria
applicable to
all ships
0 to 30
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg 30.0
angle of
vanishing
stability
86.0 deg
shall not be
less than
(>=)
3.151 m.deg 60.979 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
0 to 40
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability
86.0 deg
shall not be
less than
(>=)
5.157 m.deg 81.859 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
30 to 40
Pass
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
50. Code Criteria Value Units Actual Status
angle of
vanishing
stability
86.0 deg
shall not be
less than
(>=)
1.719 m.deg 20.880 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.2: Max
GZ at 30 or
greater
Pass
in the range
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
180.0 deg 180.0
angle of max.
GZ
17.3 deg
shall not be
less than
(>=)
0.200 m 2.255 Pass
Intermediate
values
angle at
which this GZ
occurs
deg 30.0
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.4: Initial
GMt
Pass
spec. heel
angle
0.0 deg
shall not be
less than
(>=)
0.150 m 14.386 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.5:
Passenger
crowding:
angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
51. Code Criteria Value Units Actual Status
distance from
centre line: D
=
3.500 m
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.8 Pass
Intermediate
values
Heel arm
amplitude
m 0.209
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.6: Turn:
angle of
equilibrium
Pass
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 0.9996
vessel speed:
v =
0.000 kts
turn radius, R,
as
percentage of
Lwl
510.00 %
h = KG -
mean draught
/ 2
1.353 m
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.0 Pass
Intermediate
values
Heel arm
amplitude
m 0.000
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.2.2: Severe
wind and
rolling
Pass
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 0.99966
wind
pressure: P =
504.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = vert. 0.632 m
52. Code Criteria Value Units Actual Status
centre of
projected lat.
u'water area
cosine power:
n =
0
gust ratio 1.5
Area2
integrated to
the lesser of
roll back
angle from
equilibrium
(with steady
heel arm)
25.0 (-24.6) deg -24.6
Area 1 upper
integration
range, to the
lesser of:
spec. heel
angle
50.0 deg 50.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
gust heel
arm)
82.1 deg
Angle for
GZ(max) in
GZ ratio, the
lesser of:
angle of max.
GZ
17.3 deg 17.3
Select
required
angle for
angle of
steady heel
ratio:
DeckEdgeIm
mersionAngle
Criteria: Pass
Angle of
steady heel
shall not be
greater than
(<=)
16.0 deg 0.4 Pass
Angle of
steady heel /
Deck edge
immersion
angle shall
not be
greater than
(<=)
80.000 % 1.112 Pass
Area1 /
Area2 shall
not be less
than (>=)
100.000 % 174.216 Pass
53. Code Criteria Value Units Actual Status
Intermediate
values
Model
windage area
m^2 21.472
Model
windage area
centroid
height
m 1.906
Total windage
area
m^2 24.472
Total windage
area centroid
height
m 1.917
Heel arm
amplitude
m 0.107
Equilibrium
angle with
steady heel
arm
deg 0.4
Equilibrium
angle with
gust heel arm
deg 0.6
Deck edge
immersion
angle
deg 36.7
Area1 (under
GZ), from 0.6
to 50.0 deg.
m.deg 99.102
Area1 (under
HA), from 0.6
to 50.0 deg.
m.deg 7.950
Area1, from
0.6 to 50.0
deg.
m.deg 91.152
Area2 (under
GZ), from
-24.6 to 0.6
deg.
m.deg -48.264
Area2 (under
HA), from
-24.6 to 0.6
deg.
m.deg 4.057
Area2, from
-24.6 to 0.6
deg.
m.deg 52.321
54. Stability Calculation - KLM Utopia
Loadcase - Loadcase3
Damage Case - Intact
Free to Trim
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Fluid analysis method: Use corrected VCG
Item
Name
Quantity Weight
tonne
Long.Arm
m
Vert.Arm m Trans.Arm
m
FS Mom.
tonne.m
Lightship 1 14.59 -1.357 1.896 0.000 0.000
Passenger 6 0.0750 -1.000 3.425 0.000 0.000
Dive Gear 6 0.0500 0.250 2.700 0.000 0.000
Fishing
Gear
6 0.0300 0.400 2.800 0.000 0.000
Total
Weight=
15.52 LCG=-1.
295
VCG=1.966 TCG=0.00
0
0
FS corr.=0
VCG fluid=1.966
-3
-2
-1
0
1
2
3
-20 0 20 40 60 80
Max GZ = 2.559 m at 17.3 deg.
1.5: HTL: Area betw een GZ and HA Hpc + Hw
1.5: HTL: Area betw een GZ and HA Ht + Hw
3.2.1: HL1: Angle of equilibrium Wind heeling (Hw )
3.1.2.4: Initial GMt GM at 0.0 deg = 14.206 m
3.1.2.5: Passenger crow ding: angle of equilibrium
3.1.2.6: Turn: angle of equilibrium
3.2.2: Severe w ind and rolling Wind Heeling (steady)
3.2.2: Severe w ind and rolling Wind Heeling (gust)
Heel to Starboard deg.
GZ
m
Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
Displacement tonne 15.52 15.52 15.52 15.52 15.52 15.52
Draft at FP m -0.665 0.001 0.557 0.737 0.557 0.002
Draft at AP m 0.501 1.116 1.519 1.619 1.519 1.116
WL Length m 14.175 14.224 14.123 13.451 14.123 14.224
Immersed Depth m 1.553 1.696 1.685 1.323 1.685 1.696
WL Beam m 3.860 3.869 7.085 7.214 7.085 3.869
Wetted Area m^2 46.015 45.746 55.908 62.394 55.902 45.747
Waterpl. Area m^2 20.874 19.616 24.064 27.516 24.061 19.617
Prismatic Coeff. 0.626 0.625 0.602 0.618 0.601 0.625
Block Coeff. 0.350 0.336 0.257 0.292 0.257 0.336
LCB from Amidsh.
(+ve fwd) m
-1.432 -1.410 -1.373 -1.356 -1.373 -1.409
VCB from DWL m -0.467 -0.504 -0.466 -0.384 -0.466 -0.504
55. Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
GZ m -2.245 -2.531 -2.160 0.000 2.160 2.531
LCF from Amidsh.
(+ve fwd) m
-1.285 -1.273 -1.343 -1.490 -1.344 -1.272
TCF to zero pt. m -3.474 -3.368 -1.760 0.000 1.760 3.368
Max deck
inclination deg
30.2 20.3 10.6 3.2 10.6 20.3
Trim angle (+ve by
stern) deg
4.2 4.0 3.5 3.2 3.5 4.0
Heel to Starboard
degrees
30.0 40.0 50.0 60.0 70.0 80.0
Displacement tonne 15.52 15.52 15.52 15.52 15.52 15.52
Draft at FP m -0.664 -1.490 -2.633 -4.420 -7.759 -17.316
Draft at AP m 0.500 -0.270 -1.295 -2.818 -5.632 -13.621
WL Length m 14.175 14.093 13.965 13.778 13.775 14.798
Immersed Depth m 1.552 1.351 1.109 0.846 0.829 0.820
WL Beam m 3.859 3.737 3.421 2.966 2.431 2.577
Wetted Area m^2 46.016 46.576 47.481 48.107 48.479 47.540
Waterpl. Area m^2 20.875 22.556 23.820 24.753 26.373 27.951
Prismatic Coeff. 0.627 0.627 0.637 0.656 0.669 0.639
Block Coeff. 0.350 0.381 0.443 0.569 0.566 0.484
LCB from Amidsh.
(+ve fwd) m
-1.430 -1.443 -1.447 -1.449 -1.441 -1.426
VCB from DWL m -0.467 -0.417 -0.364 -0.321 -0.297 -0.299
GZ m 2.245 1.903 1.517 1.096 0.652 0.213
LCF from Amidsh.
(+ve fwd) m
-1.283 -1.203 -0.959 -0.791 -0.635 -0.656
TCF to zero pt. m 3.474 3.465 3.297 2.979 2.540 2.012
Max deck
inclination deg
30.2 40.1 50.1 60.0 70.0 80.0
Trim angle (+ve by
stern) deg
4.2 4.4 4.8 5.8 7.6 13.1
Heel to Starboard
degrees
90.0
Displacement tonne 15.52
Draft at FP m N/A
Draft at AP m N/A
WL Length m 15.514
Immersed Depth m 0.986
WL Beam m 2.535
Wetted Area m^2 46.086
Waterpl. Area m^2 28.010
Prismatic Coeff. 0.630
Block Coeff. 0.390
LCB from Amidsh.
(+ve fwd) m
-1.421
VCB from DWL m -0.333
GZ m -0.209
LCF from Amidsh.
(+ve fwd) m
-0.858
TCF to zero pt. m 1.513
Max deck
inclination deg
90.0
Trim angle (+ve by
stern) deg
90.0
56. Code Criteria Value Units Actual Status
HSC multi.
Intact
1.1: Area
from 0 to 30
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg
angle of max.
GZ
17.3 deg 17.3
first
downflooding
angle
n/a deg
angle of
vanishing
stability
85.0 deg
higher heel
angle
30.0 deg
required GZ
area at higher
heel angle
3.151 m.deg
shall not be
less than
(>=)
5.473 m.deg 29.596 Pass
HSC multi.
Intact
1.2: Angle of
maximum
GZ
Pass
shall not be
less than
(>=)
10.0 deg 17.3 Pass
HSC multi.
Intact
1.5: HTL:
Area
between GZ
and HA
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
3.000 m
cosine power:
n =
0
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 1
57. vessel speed:
v =
10.000 kts
turn radius: R
=
100.000 m
h = KG -
mean draught
/ 2
1.377 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.50102
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = waterline 1.178 m
cosine power:
n =
0
Area
integrated
from the
greater of
angle of
equilibrium
(with heel
arm)
0.7 deg 1.0, 0.5
to the lesser
of
spec. angle
above
equilibrium
(with heel
arm)
15.0 (15.7) deg 15.0 (16.0),
15.0 (15.5)
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
heel arm)
80.9 deg 78.8, 82.0
Criteria:
Area
between GZ
and heeling
arms shall
not be less
than (>=)...
Pass
Hpc + Hw 1.604 m.deg 22.306 Pass
Ht + Hw 1.604 m.deg 23.114 Pass
Intermediate
values
Pass.
crowding heel
m 0.174
58. arm
amplitude
(Hpc)
Turning heel
arm
amplitude (Ht)
m 0.037
Model
windage area
m^2 21.219
Model
windage area
centroid
height
m 1.914
Total windage
area
m^2 24.219
Total windage
area centroid
height
m 1.925
Wind heeling
heel arm
amplitude
(Hw)
m 0.089
Area under
GZ curve,
from 1.0 to
16.0 deg.
m.deg 26.253
Area under
GZ curve,
from 0.5 to
15.5 deg.
m.deg 25.010
Area under
Hpc + Hw,
from 1.0 to
16.0 deg.
m.deg 3.948
Area under Ht
+ Hw, from
0.5 to 15.5
deg.
m.deg 1.896
HSC multi.
Intact
3.2.1: HL1:
Angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
50
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
2.000 m
cosine power:
n =
0
Turn arm: a
v^2 / (R g) h
cos^n(phi)
59. constant: a = 1
vessel speed:
v =
40.000 kts
turn radius: R
=
200.000 m
h = KG -
mean draught
/ 2
1.377 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.00068
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
3.000 m
additional
area: A =
10.000 m^2
H = mean
draught / 2
0.589 m
cosine power:
n =
0
Criteria:
Angle of
equilibrium
due to the
following
shall not be
greater than
(<=)...
Pass
Wind heeling
(Hw)
16.0 deg 0.7 Pass
Intermediate
values
Model
windage area
m^2 21.219
Model
windage area
centroid
height
m 1.914
Total windage
area
m^2 31.219
Total windage
area centroid
height
m 2.262
Wind heeling
heel arm
amplitude
(Hw)
m 0.172
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
0 to 30
Pass
60. from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg 30.0
angle of
vanishing
stability
85.0 deg
shall not be
less than
(>=)
3.151 m.deg 60.558 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
0 to 40
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability
85.0 deg
shall not be
less than
(>=)
5.157 m.deg 81.315 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
30 to 40
Pass
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability
85.0 deg
shall not be
less than
1.719 m.deg 20.758 Pass
61. (>=)
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.2: Max
GZ at 30 or
greater
Pass
in the range
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
180.0 deg 180.0
angle of max.
GZ
17.3 deg
shall not be
less than
(>=)
0.200 m 2.245 Pass
Intermediate
values
angle at
which this GZ
occurs
deg 30.0
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.4: Initial
GMt
Pass
spec. heel
angle
0.0 deg
shall not be
less than
(>=)
0.150 m 14.206 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.5:
Passenger
crowding:
angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
3.500 m
cosine power:
n =
1
shall not be 10.0 deg 0.8 Pass
62. greater than
(<=)
Intermediate
values
Heel arm
amplitude
m 0.203
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.6: Turn:
angle of
equilibrium
Pass
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 0.9996
vessel speed:
v =
0.000 kts
turn radius, R,
as
percentage of
Lwl
510.00 %
h = KG -
mean draught
/ 2
1.377 m
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.0 Pass
Intermediate
values
Heel arm
amplitude
m 0.000
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.2.2: Severe
wind and
rolling
Pass
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 0.99966
wind
pressure: P =
504.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = vert.
centre of
projected lat.
u'water area
0.642 m
cosine power:
n =
0
gust ratio 1.5
Area2
63. integrated to
the lesser of
roll back
angle from
equilibrium
(with steady
heel arm)
25.0 (-24.6) deg -24.6
Area 1 upper
integration
range, to the
lesser of:
spec. heel
angle
50.0 deg 50.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
gust heel
arm)
81.4 deg
Angle for
GZ(max) in
GZ ratio, the
lesser of:
angle of max.
GZ
17.3 deg 17.3
Select
required
angle for
angle of
steady heel
ratio:
DeckEdgeIm
mersionAngle
Criteria: Pass
Angle of
steady heel
shall not be
greater than
(<=)
16.0 deg 0.4 Pass
Angle of
steady heel /
Deck edge
immersion
angle shall
not be
greater than
(<=)
80.000 % 1.113 Pass
Area1 /
Area2 shall
not be less
than (>=)
100.000 % 175.259 Pass
Intermediate
values
Model
windage area
m^2 21.219
Model
windage area
centroid
height
m 1.914
64. Total windage
area
m^2 24.219
Total windage
area centroid
height
m 1.925
Heel arm
amplitude
m 0.103
Equilibrium
angle with
steady heel
arm
deg 0.4
Equilibrium
angle with
gust heel arm
deg 0.6
Deck edge
immersion
angle
deg 35.7
Area1 (under
GZ), from 0.6
to 50.0 deg.
m.deg 98.408
Area1 (under
HA), from 0.6
to 50.0 deg.
m.deg 7.621
Area1, from
0.6 to 50.0
deg.
m.deg 90.787
Area2 (under
GZ), from
-24.6 to 0.6
deg.
m.deg -47.914
Area2 (under
HA), from
-24.6 to 0.6
deg.
m.deg 3.887
Area2, from
-24.6 to 0.6
deg.
m.deg 51.801
65. Stability Calculation - KLM Utopia
Loadcase - Loadcase4
Damage Case - Intact
Free to Trim
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Fluid analysis method: Use corrected VCG
Item
Name
Quantity Weight
tonne
Long.Arm
m
Vert.Arm m Trans.Arm
m
FS Mom.
tonne.m
Lightship 1 14.59 -1.357 1.896 0.000 0.000
Passenger 9 0.0750 -1.000 3.425 0.000 0.000
Dive Gear 9 0.0500 0.250 2.700 0.000 0.000
Fishing
Gear
9 0.0300 0.400 2.800 0.000 0.000
Total
Weight=
15.98 LCG=-1.
267
VCG=1.998 TCG=0.00
0
0
FS corr.=0
VCG fluid=1.998
-3
-2
-1
0
1
2
3
-20 0 20 40 60 80
Max GZ = 2.547 m at 17.3 deg.
1.5: HTL: Area betw een GZ and HA Hpc + Hw
1.5: HTL: Area betw een GZ and HA Ht + Hw
3.2.1: HL1: Angle of equilibrium Wind heeling (Hw )
3.1.2.4: Initial GMt GM at 0.0 deg = 13.956 m
3.1.2.5: Passenger crow ding: angle of equilibrium
3.1.2.6: Turn: angle of equilibrium
3.2.2: Severe w ind and rolling Wind Heeling (steady)
3.2.2: Severe w ind and rolling Wind Heeling (gust)
Heel to Starboard deg.
GZ
m
Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
Displacement tonne 15.98 15.98 15.99 15.99 15.98 15.98
Draft at FP m -0.627 0.037 0.587 0.767 0.588 0.038
Draft at AP m 0.516 1.131 1.530 1.626 1.529 1.131
WL Length m 14.225 14.273 14.162 13.487 14.162 14.273
Immersed Depth m 1.572 1.716 1.701 1.337 1.701 1.716
WL Beam m 3.874 3.881 7.096 7.219 7.096 3.881
Wetted Area m^2 46.755 46.514 57.066 63.392 57.063 46.515
Waterpl. Area m^2 21.129 19.873 24.518 27.917 24.518 19.874
Prismatic Coeff. 0.629 0.628 0.604 0.622 0.604 0.628
Block Coeff. 0.351 0.339 0.259 0.296 0.259 0.339
LCB from Amidsh.
(+ve fwd) m
-1.400 -1.381 -1.346 -1.328 -1.345 -1.380
VCB from DWL m -0.475 -0.512 -0.470 -0.389 -0.470 -0.512
66. Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
GZ m -2.235 -2.525 -2.134 0.000 2.134 2.525
LCF from Amidsh.
(+ve fwd) m
-1.257 -1.238 -1.308 -1.456 -1.307 -1.237
TCF to zero pt. m -3.483 -3.374 -1.734 0.000 1.735 3.374
Max deck
inclination deg
30.2 20.3 10.5 3.1 10.5 20.3
Trim angle (+ve by
stern) deg
4.1 3.9 3.4 3.1 3.4 3.9
Heel to Starboard
degrees
30.0 40.0 50.0 60.0 70.0 80.0
Displacement tonne 15.98 15.98 15.98 15.98 15.98 15.98
Draft at FP m -0.628 -1.453 -2.597 -4.380 -7.706 -17.224
Draft at AP m 0.516 -0.252 -1.270 -2.784 -5.584 -13.526
WL Length m 14.225 14.144 14.020 13.844 13.884 14.849
Immersed Depth m 1.572 1.369 1.127 0.864 0.846 0.836
WL Beam m 3.874 3.749 3.425 2.968 2.425 2.581
Wetted Area m^2 46.754 47.360 48.242 48.826 49.029 48.426
Waterpl. Area m^2 21.128 22.712 23.825 24.625 25.925 27.876
Prismatic Coeff. 0.629 0.630 0.641 0.659 0.670 0.642
Block Coeff. 0.351 0.384 0.446 0.577 0.572 0.486
LCB from Amidsh.
(+ve fwd) m
-1.402 -1.413 -1.417 -1.420 -1.412 -1.399
VCB from DWL m -0.475 -0.424 -0.372 -0.329 -0.305 -0.307
GZ m 2.235 1.891 1.500 1.073 0.623 0.177
LCF from Amidsh.
(+ve fwd) m
-1.258 -1.152 -0.915 -0.766 -0.669 -0.583
TCF to zero pt. m 3.483 3.472 3.301 2.983 2.546 2.014
Max deck
inclination deg
30.2 40.1 50.1 60.0 70.0 80.0
Trim angle (+ve by
stern) deg
4.1 4.3 4.8 5.7 7.6 13.1
Heel to Starboard
degrees
90.0
Displacement tonne 15.98
Draft at FP m N/A
Draft at AP m N/A
WL Length m 15.569
Immersed Depth m 1.001
WL Beam m 2.546
Wetted Area m^2 46.924
Waterpl. Area m^2 28.147
Prismatic Coeff. 0.631
Block Coeff. 0.393
LCB from Amidsh.
(+ve fwd) m
-1.391
VCB from DWL m -0.339
GZ m -0.248
LCF from Amidsh.
(+ve fwd) m
-0.786
TCF to zero pt. m 1.508
Max deck
inclination deg
90.0
Trim angle (+ve by
stern) deg
90.0
67. Code Criteria Value Units Actual Status
HSC multi.
Intact
1.1: Area
from 0 to 30
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg
angle of max.
GZ
17.3 deg 17.3
first
downflooding
angle
n/a deg
angle of
vanishing
stability
84.1 deg
higher heel
angle
30.0 deg
required GZ
area at higher
heel angle
3.151 m.deg
shall not be
less than
(>=)
5.473 m.deg 29.277 Pass
HSC multi.
Intact
1.2: Angle of
maximum
GZ
Pass
shall not be
less than
(>=)
10.0 deg 17.3 Pass
HSC multi.
Intact
1.5: HTL:
Area
between GZ
and HA
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
3.000 m
cosine power:
n =
0
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 1
68. Code Criteria Value Units Actual Status
vessel speed:
v =
10.000 kts
turn radius: R
=
100.000 m
h = KG -
mean draught
/ 2
1.400 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.50102
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = waterline 1.196 m
cosine power:
n =
0
Area
integrated
from the
greater of
angle of
equilibrium
(with heel
arm)
0.7 deg 1.0, 0.5
to the lesser
of
spec. angle
above
equilibrium
(with heel
arm)
15.0 (15.7) deg 15.0 (16.0),
15.0 (15.5)
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
heel arm)
80.2 deg 78.3, 81.3
Criteria:
Area
between GZ
and heeling
arms shall
not be less
than (>=)...
Pass
Hpc + Hw 1.604 m.deg 22.102 Pass
Ht + Hw 1.604 m.deg 22.863 Pass
Intermediate
values
Pass. m 0.169
69. Code Criteria Value Units Actual Status
crowding heel
arm
amplitude
(Hpc)
Turning heel
arm
amplitude (Ht)
m 0.038
Model
windage area
m^2 20.969
Model
windage area
centroid
height
m 1.923
Total windage
area
m^2 23.969
Total windage
area centroid
height
m 1.933
Wind heeling
heel arm
amplitude
(Hw)
m 0.085
Area under
GZ curve,
from 1.0 to
16.0 deg.
m.deg 25.903
Area under
GZ curve,
from 0.5 to
15.5 deg.
m.deg 24.698
Area under
Hpc + Hw,
from 1.0 to
16.0 deg.
m.deg 3.801
Area under Ht
+ Hw, from
0.5 to 15.5
deg.
m.deg 1.834
HSC multi.
Intact
3.2.1: HL1:
Angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
50
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
2.000 m
cosine power:
n =
0
Turn arm: a
70. Code Criteria Value Units Actual Status
v^2 / (R g) h
cos^n(phi)
constant: a = 1
vessel speed:
v =
40.000 kts
turn radius: R
=
200.000 m
h = KG -
mean draught
/ 2
1.400 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.00068
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
3.000 m
additional
area: A =
10.000 m^2
H = mean
draught / 2
0.598 m
cosine power:
n =
0
Criteria:
Angle of
equilibrium
due to the
following
shall not be
greater than
(<=)...
Pass
Wind heeling
(Hw)
16.0 deg 0.6 Pass
Intermediate
values
Model
windage area
m^2 20.969
Model
windage area
centroid
height
m 1.923
Total windage
area
m^2 30.969
Total windage
area centroid
height
m 2.271
Wind heeling
heel arm
amplitude
(Hw)
m 0.165
A.749(18)
Ch3 - Design
3.1.2.1: Area
0 to 30
Pass
71. Code Criteria Value Units Actual Status
criteria
applicable to
all ships
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg 30.0
angle of
vanishing
stability
84.1 deg
shall not be
less than
(>=)
3.151 m.deg 60.155 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
0 to 40
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability
84.1 deg
shall not be
less than
(>=)
5.157 m.deg 80.800 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
30 to 40
Pass
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of 84.1 deg
72. Code Criteria Value Units Actual Status
vanishing
stability
shall not be
less than
(>=)
1.719 m.deg 20.646 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.2: Max
GZ at 30 or
greater
Pass
in the range
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
180.0 deg 180.0
angle of max.
GZ
17.3 deg
shall not be
less than
(>=)
0.200 m 2.235 Pass
Intermediate
values
angle at
which this GZ
occurs
deg 30.0
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.4: Initial
GMt
Pass
spec. heel
angle
0.0 deg
shall not be
less than
(>=)
0.150 m 13.956 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.5:
Passenger
crowding:
angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from 3.500 m
73. Code Criteria Value Units Actual Status
centre line: D
=
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.8 Pass
Intermediate
values
Heel arm
amplitude
m 0.197
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.6: Turn:
angle of
equilibrium
Pass
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 0.9996
vessel speed:
v =
0.000 kts
turn radius, R,
as
percentage of
Lwl
510.00 %
h = KG -
mean draught
/ 2
1.400 m
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.0 Pass
Intermediate
values
Heel arm
amplitude
m 0.000
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.2.2: Severe
wind and
rolling
Pass
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 0.99966
wind
pressure: P =
504.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = vert.
centre of
0.652 m
74. Code Criteria Value Units Actual Status
projected lat.
u'water area
cosine power:
n =
0
gust ratio 1.5
Area2
integrated to
the lesser of
roll back
angle from
equilibrium
(with steady
heel arm)
25.0 (-24.6) deg -24.6
Area 1 upper
integration
range, to the
lesser of:
spec. heel
angle
50.0 deg 50.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
gust heel
arm)
80.7 deg
Angle for
GZ(max) in
GZ ratio, the
lesser of:
angle of max.
GZ
17.3 deg 17.3
Select
required
angle for
angle of
steady heel
ratio:
DeckEdgeIm
mersionAngle
Criteria: Pass
Angle of
steady heel
shall not be
greater than
(<=)
16.0 deg 0.4 Pass
Angle of
steady heel /
Deck edge
immersion
angle shall
not be
greater than
(<=)
80.000 % 1.115 Pass
Area1 /
Area2 shall
not be less
than (>=)
100.000 % 176.288 Pass
Intermediate
75. Code Criteria Value Units Actual Status
values
Model
windage area
m^2 20.969
Model
windage area
centroid
height
m 1.923
Total windage
area
m^2 23.969
Total windage
area centroid
height
m 1.933
Heel arm
amplitude
m 0.099
Equilibrium
angle with
steady heel
arm
deg 0.4
Equilibrium
angle with
gust heel arm
deg 0.6
Deck edge
immersion
angle
deg 34.7
Area1 (under
GZ), from 0.6
to 50.0 deg.
m.deg 97.752
Area1 (under
HA), from 0.6
to 50.0 deg.
m.deg 7.311
Area1, from
0.6 to 50.0
deg.
m.deg 90.442
Area2 (under
GZ), from
-24.6 to 0.6
deg.
m.deg -47.576
Area2 (under
HA), from
-24.6 to 0.6
deg.
m.deg 3.727
Area2, from
-24.6 to 0.6
deg.
m.deg 51.303
76. Stability Calculation - KLM Utopia
Loadcase - Loadcase5
Damage Case - Intact
Free to Trim
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Fluid analysis method: Use corrected VCG
Item
Name
Quantity Weight
tonne
Long.Arm
m
Vert.Arm m Trans.Arm
m
FS Mom.
tonne.m
Lightship 1 14.59 -1.357 1.896 0.000 0.000
Passenger 12 0.0750 -1.000 3.425 0.000 0.000
Dive Gear 12 0.0500 0.250 2.700 0.000 0.000
Fishing
Gear
12 0.0300 0.400 2.800 0.000 0.000
Total
Weight=
16.45 LCG=-1.
240
VCG=2.029 TCG=0.00
0
0
FS corr.=0
VCG fluid=2.029
-3
-2
-1
0
1
2
3
-20 0 20 40 60 80
Max GZ = 2.536 m at 18.2 deg.
1.5: HTL: Area betw een GZ and HA Hpc + Hw
1.5: HTL: Area betw een GZ and HA Ht + Hw
3.2.1: HL1: Angle of equilibrium Wind heeling (Hw )
3.1.2.4: Initial GMt GM at 0.0 deg = 13.794 m
3.1.2.5: Passenger crow ding: angle of equilibrium
3.1.2.6: Turn: angle of equilibrium
3.2.2: Severe w ind and rolling Wind Heeling (steady)
3.2.2: Severe w ind and rolling Wind Heeling (gust)
Heel to Starboard deg.
GZ
m
Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
Displacement tonne 16.45 16.45 16.45 16.45 16.45 16.45
Draft at FP m -0.591 0.073 0.618 0.795 0.618 0.073
Draft at AP m 0.532 1.147 1.540 1.633 1.540 1.146
WL Length m 14.274 14.321 14.201 13.521 14.201 14.321
Immersed Depth m 1.591 1.737 1.717 1.351 1.717 1.737
WL Beam m 3.887 3.893 7.107 7.280 7.107 3.893
Wetted Area m^2 47.494 47.253 58.150 64.504 58.144 47.252
Waterpl. Area m^2 21.383 20.107 24.906 28.443 24.904 20.107
Prismatic Coeff. 0.632 0.630 0.607 0.625 0.607 0.630
Block Coeff. 0.350 0.342 0.261 0.288 0.261 0.342
LCB from Amidsh.
(+ve fwd) m
-1.373 -1.353 -1.318 -1.300 -1.317 -1.352
VCB from DWL m -0.482 -0.519 -0.475 -0.394 -0.475 -0.519
77. Heel to Starboard
degrees
-30.0 -20.0 -10.0 0.0 10.0 20.0
GZ m -2.227 -2.519 -2.108 0.000 2.108 2.519
LCF from Amidsh.
(+ve fwd) m
-1.230 -1.210 -1.280 -1.437 -1.279 -1.209
TCF to zero pt. m -3.492 -3.380 -1.707 0.000 1.707 3.380
Max deck
inclination deg
30.2 20.3 10.5 3.0 10.5 20.3
Trim angle (+ve by
stern) deg
4.0 3.9 3.3 3.0 3.3 3.9
Heel to Starboard
degrees
30.0 40.0 50.0 60.0 70.0 80.0
Displacement tonne 16.45 16.45 16.45 16.45 16.45 16.45
Draft at FP m -0.592 -1.417 -2.563 -4.340 -7.655 -17.133
Draft at AP m 0.532 -0.234 -1.244 -2.749 -5.532 -13.430
WL Length m 14.274 14.195 14.075 13.911 13.994 14.900
Immersed Depth m 1.591 1.387 1.146 0.881 0.864 0.853
WL Beam m 3.887 3.744 3.416 2.964 2.448 2.533
Wetted Area m^2 47.493 48.124 48.982 49.541 49.753 49.184
Waterpl. Area m^2 21.382 22.833 23.782 24.466 25.720 27.644
Prismatic Coeff. 0.632 0.633 0.644 0.662 0.671 0.645
Block Coeff. 0.350 0.390 0.452 0.585 0.578 0.498
LCB from Amidsh.
(+ve fwd) m
-1.374 -1.385 -1.391 -1.393 -1.386 -1.372
VCB from DWL m -0.482 -0.432 -0.380 -0.338 -0.314 -0.314
GZ m 2.227 1.879 1.484 1.052 0.596 0.144
LCF from Amidsh.
(+ve fwd) m
-1.230 -1.106 -0.876 -0.740 -0.638 -0.539
TCF to zero pt. m 3.492 3.478 3.305 2.986 2.553 2.021
Max deck
inclination deg
30.2 40.1 50.1 60.0 70.0 80.0
Trim angle (+ve by
stern) deg
4.0 4.3 4.7 5.7 7.6 13.1
Heel to Starboard
degrees
90.0
Displacement tonne 16.45
Draft at FP m N/A
Draft at AP m N/A
WL Length m 15.621
Immersed Depth m 1.016
WL Beam m 2.555
Wetted Area m^2 47.754
Waterpl. Area m^2 28.269
Prismatic Coeff. 0.633
Block Coeff. 0.396
LCB from Amidsh.
(+ve fwd) m
-1.364
VCB from DWL m -0.345
GZ m -0.285
LCF from Amidsh.
(+ve fwd) m
-0.716
TCF to zero pt. m 1.503
Max deck
inclination deg
90.0
Trim angle (+ve by
stern) deg
90.0
78. Code Criteria Value Units Actual Status
HSC multi.
Intact
1.1: Area
from 0 to 30
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg
angle of max.
GZ
18.2 deg 18.2
first
downflooding
angle
n/a deg
angle of
vanishing
stability
83.3 deg
higher heel
angle
30.0 deg
required GZ
area at higher
heel angle
3.151 m.deg
shall not be
less than
(>=)
5.199 m.deg 31.273 Pass
HSC multi.
Intact
1.2: Angle of
maximum
GZ
Pass
shall not be
less than
(>=)
10.0 deg 18.2 Pass
HSC multi.
Intact
1.5: HTL:
Area
between GZ
and HA
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
3.000 m
cosine power:
n =
0
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 1
79. Code Criteria Value Units Actual Status
vessel speed:
v =
10.000 kts
turn radius: R
=
100.000 m
h = KG -
mean draught
/ 2
1.422 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.50102
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = waterline 1.214 m
cosine power:
n =
0
Area
integrated
from the
greater of
angle of
equilibrium
(with heel
arm)
0.7 deg 1.0, 0.5
to the lesser
of
spec. angle
above
equilibrium
(with heel
arm)
15.0 (15.7) deg 15.0 (16.0),
15.0 (15.5)
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
heel arm)
79.5 deg 77.7, 80.6
Criteria:
Area
between GZ
and heeling
arms shall
not be less
than (>=)...
Pass
Hpc + Hw 1.604 m.deg 21.901 Pass
Ht + Hw 1.604 m.deg 22.618 Pass
Intermediate
values
Pass. m 0.164
80. Code Criteria Value Units Actual Status
crowding heel
arm
amplitude
(Hpc)
Turning heel
arm
amplitude (Ht)
m 0.038
Model
windage area
m^2 20.726
Model
windage area
centroid
height
m 1.931
Total windage
area
m^2 23.726
Total windage
area centroid
height
m 1.940
Wind heeling
heel arm
amplitude
(Hw)
m 0.080
Area under
GZ curve,
from 1.0 to
16.0 deg.
m.deg 25.566
Area under
GZ curve,
from 0.5 to
15.5 deg.
m.deg 24.396
Area under
Hpc + Hw,
from 1.0 to
16.0 deg.
m.deg 3.665
Area under Ht
+ Hw, from
0.5 to 15.5
deg.
m.deg 1.778
HSC multi.
Intact
3.2.1: HL1:
Angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
50
passenger
mass: M =
0.075 tonne
distance from
centre line: D
=
2.000 m
cosine power:
n =
0
Turn arm: a
81. Code Criteria Value Units Actual Status
v^2 / (R g) h
cos^n(phi)
constant: a = 1
vessel speed:
v =
40.000 kts
turn radius: R
=
200.000 m
h = KG -
mean draught
/ 2
1.422 m
cosine power:
n =
0
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 1.00068
wind model Pressure
wind
pressure: P =
500.00 Pa
area centroid
height: h =
3.000 m
additional
area: A =
10.000 m^2
H = mean
draught / 2
0.607 m
cosine power:
n =
0
Criteria:
Angle of
equilibrium
due to the
following
shall not be
greater than
(<=)...
Pass
Wind heeling
(Hw)
16.0 deg 0.6 Pass
Intermediate
values
Model
windage area
m^2 20.726
Model
windage area
centroid
height
m 1.931
Total windage
area
m^2 30.726
Total windage
area centroid
height
m 2.279
Wind heeling
heel arm
amplitude
(Hw)
m 0.159
A.749(18)
Ch3 - Design
3.1.2.1: Area
0 to 30
Pass
82. Code Criteria Value Units Actual Status
criteria
applicable to
all ships
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
30.0 deg 30.0
angle of
vanishing
stability
83.3 deg
shall not be
less than
(>=)
3.151 m.deg 59.768 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
0 to 40
Pass
from the
greater of
spec. heel
angle
0.0 deg 0.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability
83.3 deg
shall not be
less than
(>=)
5.157 m.deg 80.311 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.1: Area
30 to 40
Pass
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
40.0 deg 40.0
first
downflooding
angle
n/a deg
angle of 83.3 deg
83. Code Criteria Value Units Actual Status
vanishing
stability
shall not be
less than
(>=)
1.719 m.deg 20.542 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.2: Max
GZ at 30 or
greater
Pass
in the range
from the
greater of
spec. heel
angle
30.0 deg 30.0
to the lesser
of
spec. heel
angle
180.0 deg 180.0
angle of max.
GZ
18.2 deg
shall not be
less than
(>=)
0.200 m 2.227 Pass
Intermediate
values
angle at
which this GZ
occurs
deg 30.0
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.4: Initial
GMt
Pass
spec. heel
angle
0.0 deg
shall not be
less than
(>=)
0.150 m 13.794 Pass
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.5:
Passenger
crowding:
angle of
equilibrium
Pass
Pass.
crowding arm
= nPass M /
disp. D
cos^n(phi)
number of
passengers:
nPass =
12
passenger
mass: M =
0.075 tonne
distance from 3.500 m
84. Code Criteria Value Units Actual Status
centre line: D
=
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.8 Pass
Intermediate
values
Heel arm
amplitude
m 0.192
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.1.2.6: Turn:
angle of
equilibrium
Pass
Turn arm: a
v^2 / (R g) h
cos^n(phi)
constant: a = 0.9996
vessel speed:
v =
0.000 kts
turn radius, R,
as
percentage of
Lwl
510.00 %
h = KG -
mean draught
/ 2
1.422 m
cosine power:
n =
1
shall not be
greater than
(<=)
10.0 deg 0.0 Pass
Intermediate
values
Heel arm
amplitude
m 0.000
A.749(18)
Ch3 - Design
criteria
applicable to
all ships
3.2.2: Severe
wind and
rolling
Pass
Wind arm: a
P A (h - H) /
(g disp.)
cos^n(phi)
constant: a = 0.99966
wind
pressure: P =
504.00 Pa
area centroid
height: h =
2.000 m
additional
area: A =
3.000 m^2
H = vert.
centre of
0.662 m
85. Code Criteria Value Units Actual Status
projected lat.
u'water area
cosine power:
n =
0
gust ratio 1.5
Area2
integrated to
the lesser of
roll back
angle from
equilibrium
(with steady
heel arm)
25.0 (-24.6) deg -24.6
Area 1 upper
integration
range, to the
lesser of:
spec. heel
angle
50.0 deg 50.0
first
downflooding
angle
n/a deg
angle of
vanishing
stability (with
gust heel
arm)
80.0 deg
Angle for
GZ(max) in
GZ ratio, the
lesser of:
angle of max.
GZ
18.2 deg 18.2
Select
required
angle for
angle of
steady heel
ratio:
DeckEdgeIm
mersionAngle
Criteria: Pass
Angle of
steady heel
shall not be
greater than
(<=)
16.0 deg 0.4 Pass
Angle of
steady heel /
Deck edge
immersion
angle shall
not be
greater than
(<=)
80.000 % 1.120 Pass
Area1 /
Area2 shall
not be less
than (>=)
100.000 % 177.284 Pass
Intermediate
86. Code Criteria Value Units Actual Status
values
Model
windage area
m^2 20.726
Model
windage area
centroid
height
m 1.931
Total windage
area
m^2 23.726
Total windage
area centroid
height
m 1.940
Heel arm
amplitude
m 0.095
Equilibrium
angle with
steady heel
arm
deg 0.4
Equilibrium
angle with
gust heel arm
deg 0.6
Deck edge
immersion
angle
deg 33.7
Area1 (under
GZ), from 0.6
to 50.0 deg.
m.deg 97.133
Area1 (under
HA), from 0.6
to 50.0 deg.
m.deg 7.022
Area1, from
0.6 to 50.0
deg.
m.deg 90.110
Area2 (under
GZ), from
-24.6 to 0.6
deg.
m.deg -47.250
Area2 (under
HA), from
-24.6 to 0.6
deg.
m.deg 3.578
Area2, from
-24.6 to 0.6
deg.
m.deg 50.828
88. Limiting KG - KLM Utopia
Damage Case - Intact
Initial Trim = 0 m (+ve by stern)
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Displacement tonne Limit KG m Criteria Type
10.00 0.931 A.749(18) Ch3 -
Design criteria
applicable to all
ships
3.2.2: Severe wind
and rolling
12.25 2.414 A.749(18) Ch3 -
Design criteria
applicable to all
ships
3.2.2: Severe wind
and rolling
14.50 3.608 A.749(18) Ch3 -
Design criteria
applicable to all
ships
3.2.2: Severe wind
and rolling
16.75 4.521 A.749(18) Ch3 -
Design criteria
applicable to all
ships
3.2.2: Severe wind
and rolling
19.00 5.206 A.749(18) Ch3 -
Design criteria
applicable to all
ships
3.2.2: Severe wind
and rolling
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
10 11 12 13 14 15 16 17 18 19 20
Displacement tonne
KG
m