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INTACT STABILITY BOOKLET
KLM UTOPIA
RECREATIONAL BOAT
TABLE OF CONTENTS
1. GENERAL PARTICULARS
2. STABILITY CRITERIA
3. METRIC CONVERSION TABLES
4. KN CURVE CONCEPT DIAGRAM
5. HULL GEOMETRY
6. HYDROSTATIC PROPERTIES
7. CROSS CURVE CALCULATION
8. INCLINING TEST REPORT
9. SPECIFIED CONDITION REPORT
10. STABILITY CALCULATION
11. LIMITING KG
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
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 :
)
(
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
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.
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.
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
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
5. HULL GEOMETRY
MAIN
DECK
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
ROOFTOP
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
ELEVATION
SIDE
VIEW
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
ELEVATION
FRONT
VIEW
SHIP PARTICULARS
PT KARYA PANRITA LOPI
1:100
KLM UTOPIA
E:JOBJuly 12 2021New folder (3)panrita.png
GENERAL ARRANGEMENT
PROVISION OF THE VESSEL DRAWING
TO COMPLY WITH THE SEACOMM (PERHUBUNGAN LAUT) REGULATION
Scale
Doc Type Class
Rev.
Drawing Number
Title
Approved
by
Reviewed
by
Prepared
by
Date
Rev. Sta. Description
Drawing
No.
Description
Reference
Drawings
NOTES
ELEVATION
REAR
VIEW
VD-KPL-UT-02-001
UP
DOWN
SOLAR
CELL
SOLAR
CELL
SOLAR
CELL
LENGTH OVER ALL (LOA) = 16.55 M
BREADTH (B)
DEPTH (H)
MAIN ENGINE
CREW
= 7.98 M
= 2.55 M
= 2 X 80 HP
= 4 PERSONS
DRAUGHT (T) = 1.32 M
1597
1659
2562
2670
Perspective View
Body Plan View
Plan View
Profile View
6. HYDROSTATIC PROPERTIES
Hydrostatics - KLM Utopia
Damage Case - Intact
Fixed Trim = 0 m (+ve by stern)
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
Draft Amidsh. m 0.264 0.528 0.792 1.056 1.320
Displacement tonne 0.575 2.491 5.98 11.21 18.28
Heel to Starboard degrees 0.0 0.0 0.0 0.0 0.0
Draft at FP m 0.264 0.528 0.792 1.056 1.320
Draft at AP m 0.264 0.528 0.792 1.056 1.320
Draft at LCF m 0.264 0.528 0.792 1.056 1.320
Trim (+ve by stern) m 0.000 0.000 0.000 0.000 0.000
WL Length m 9.659 11.173 12.606 13.348 13.848
WL Beam m 6.066 6.329 6.592 6.855 7.117
Wetted Area m^2 10.208 22.494 36.509 51.888 67.810
Waterpl. Area m^2 4.428 9.845 16.020 22.659 29.625
Prismatic Coeff. 0.770 0.740 0.706 0.706 0.712
Block Coeff. 0.385 0.370 0.353 0.353 0.356
Midship Area Coeff. 0.500 0.500 0.500 0.500 0.500
Waterpl. Area Coeff. 0.824 0.802 0.775 0.778 0.785
LCB from Amidsh. (+ve
fwd) m
0.232 0.024 -0.141 -0.262 -0.338
LCF from Amidsh. (+ve
fwd) m
0.119 -0.149 -0.345 -0.440 -0.472
KB m 0.178 0.359 0.541 0.723 0.905
KG m 1.320 1.320 1.320 1.320 1.320
BMt m 66.170 33.940 23.011 17.394 13.988
BML m 45.644 29.654 24.045 20.514 17.991
GMt m 65.028 32.979 22.231 16.797 13.573
GML m 44.502 28.692 23.265 19.917 17.576
KMt m 66.348 34.299 23.551 18.117 14.893
KML m 45.822 30.012 24.585 21.237 18.896
Immersion (TPc) tonne/cm 0.045 0.101 0.164 0.232 0.304
MTc tonne.m 0.016 0.045 0.088 0.141 0.202
RM at 1deg =
GMt.Disp.sin(1) tonne.m
0.653 1.434 2.321 3.286 4.331
Max deck inclination deg 0.0 0.0 0.0 0.0 0.0
Trim angle (+ve by stern)
deg
0.0 0.0 0.0 0.0 0.0
0.4
0.6
0.8
1
1.2
0 2.5 5 7.5 10 12.5 15 17.5 20 22.5
0 10 20 30 40 50 60 70 80 90
-0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 1.75
10 20 30 40 50 60 70 80 90 100
5 10 15 20 25 30 35 40 45 50
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
0 0.025 0.05 0.075 0.1 0.125 0.15 0.175 0.2 0.225
Disp.
Wet. Area
WPA
LCB
LCF
KB
KMt
KML
Immersion (TPc)
MTc
Displacement tonne
Draft
m
Area m^2
LCB, LCF, KB m
KMt m
KML m
Immersion tonne/cm
Moment to Trim tonne.m
0.4
0.6
0.8
1
1.2
0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85
Prismatic
Block
Midship Area
Waterplane Area
Coefficients
Draft
m
7. CROSS CURVE CALCULATION
KN Calculation - KLM Utopia
Damage Case - Intact
Initial Trim = 0 m (+ve by stern)
Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3)
-4
-3
-2
-1
0
1
2
3
4
10 11 12 13 14 15 16 17 18
-30 deg. KN
-20 deg. KN
-10 deg. KN
0 deg. KN
10 deg. KN
20 deg. KN
30 deg. KN
40 deg. KN
50 deg. KN
60 deg. KN
70 deg. KN
80 deg. KN
90 deg. KN
100 deg. KN
110 deg. KN
120 deg. KN
130 deg. KN
140 deg. KN
150 deg. KN
160 deg. KN
170 deg. KN
180 deg. KN
Displacement tonne
KN
m
Displacement tonne KN 30.0
deg. Port.
KN 20.0
deg. Port.
KN 10.0
deg. Port.
KN 0.0
deg.
KN 10.0
deg.
Starb.
KN 20.0
deg.
Starb.
10.00 -3.108 -3.122 -2.781 0.000 2.781 3.122
10.89 -3.129 -3.137 -2.735 0.000 2.735 3.137
11.78 -3.147 -3.151 -2.689 0.000 2.689 3.151
12.67 -3.165 -3.163 -2.645 0.000 2.645 3.163
13.56 -3.182 -3.175 -2.601 0.000 2.601 3.175
14.44 -3.198 -3.186 -2.559 0.000 2.559 3.186
15.33 -3.213 -3.196 -2.519 0.000 2.519 3.196
16.22 -3.227 -3.205 -2.481 0.000 2.481 3.205
17.11 -3.241 -3.213 -2.443 0.000 2.444 3.213
18.00 -3.255 -3.221 -2.408 0.000 2.408 3.221
Displacement tonne KN 30.0
deg.
Starb.
KN 40.0
deg.
Starb.
KN 50.0
deg.
Starb.
KN 60.0
deg.
Starb.
KN 70.0
deg.
Starb.
KN 80.0
deg.
Starb.
10.00 3.108 3.015 2.864 2.692 2.478 2.233
10.89 3.129 3.040 2.892 2.713 2.477 2.207
11.78 3.147 3.064 2.919 2.731 2.477 2.186
12.67 3.165 3.086 2.945 2.747 2.479 2.169
13.56 3.182 3.107 2.969 2.761 2.481 2.155
14.44 3.198 3.128 2.990 2.774 2.483 2.144
15.33 3.213 3.147 3.010 2.786 2.486 2.135
16.22 3.227 3.166 3.027 2.798 2.490 2.128
17.11 3.241 3.184 3.043 2.808 2.493 2.123
18.00 3.255 3.201 3.057 2.817 2.497 2.120
Displacement tonne KN 90.0
deg.
Starb.
KN 100.0
deg.
Starb.
KN 110.0
deg.
Starb.
KN 120.0
deg.
Starb.
KN 130.0
deg.
Starb.
KN 140.0
deg.
Starb.
10.00 1.871 1.367 0.790 0.177 -0.446 -1.045
10.89 1.852 1.355 0.785 0.177 -0.441 -1.037
11.78 1.834 1.344 0.780 0.177 -0.436 -1.029
12.67 1.816 1.334 0.775 0.177 -0.432 -1.020
13.56 1.799 1.324 0.770 0.176 -0.427 -1.011
14.44 1.783 1.314 0.765 0.175 -0.423 -1.003
15.33 1.767 1.304 0.759 0.175 -0.419 -0.994
16.22 1.751 1.294 0.754 0.173 -0.416 -0.986
17.11 1.736 1.283 0.748 0.172 -0.412 -0.978
18.00 1.721 1.273 0.742 0.171 -0.409 -0.970
Displacement tonne KN 150.0
deg.
Starb.
KN 160.0
deg.
Starb.
KN 170.0
deg.
Starb.
KN 180.0
deg.
Starb.
10.00 -1.595 -2.053 -2.275 0.000
10.89 -1.580 -2.029 -2.240 0.000
11.78 -1.565 -2.007 -2.206 0.000
12.67 -1.551 -1.986 -2.173 0.000
13.56 -1.538 -1.966 -2.142 0.000
14.44 -1.525 -1.946 -2.112 0.000
15.33 -1.513 -1.929 -2.082 0.000
16.22 -1.502 -1.912 -2.053 0.000
17.11 -1.490 -1.897 -2.024 0.000
18.00 -1.479 -1.883 -1.996 0.000
8. INCLINING TEST REPORT
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}
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
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
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
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
9. SPECIFIED CONDITION REPORT
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
10. STABILITY CALCULATION
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
(>=)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
11. LIMITING KG (COMBINATION)
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

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INTACT STABILITY BOOKLET

  • 1. INTACT STABILITY BOOKLET KLM UTOPIA RECREATIONAL BOAT
  • 2. TABLE OF CONTENTS 1. GENERAL PARTICULARS 2. STABILITY CRITERIA 3. METRIC CONVERSION TABLES 4. KN CURVE CONCEPT DIAGRAM 5. HULL GEOMETRY 6. HYDROSTATIC PROPERTIES 7. CROSS CURVE CALCULATION 8. INCLINING TEST REPORT 9. SPECIFIED CONDITION REPORT 10. STABILITY CALCULATION 11. LIMITING KG
  • 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
  • 11. MAIN DECK 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ROOFTOP 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ELEVATION SIDE VIEW 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ELEVATION FRONT VIEW SHIP PARTICULARS PT KARYA PANRITA LOPI 1:100 KLM UTOPIA E:JOBJuly 12 2021New folder (3)panrita.png GENERAL ARRANGEMENT PROVISION OF THE VESSEL DRAWING TO COMPLY WITH THE SEACOMM (PERHUBUNGAN LAUT) REGULATION Scale Doc Type Class Rev. Drawing Number Title Approved by Reviewed by Prepared by Date Rev. Sta. Description Drawing No. Description Reference Drawings NOTES ELEVATION REAR VIEW VD-KPL-UT-02-001 UP DOWN SOLAR CELL SOLAR CELL SOLAR CELL LENGTH OVER ALL (LOA) = 16.55 M BREADTH (B) DEPTH (H) MAIN ENGINE CREW = 7.98 M = 2.55 M = 2 X 80 HP = 4 PERSONS DRAUGHT (T) = 1.32 M 1597 1659 2562 2670
  • 17. Hydrostatics - KLM Utopia Damage Case - Intact Fixed Trim = 0 m (+ve by stern) Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3) Draft Amidsh. m 0.264 0.528 0.792 1.056 1.320 Displacement tonne 0.575 2.491 5.98 11.21 18.28 Heel to Starboard degrees 0.0 0.0 0.0 0.0 0.0 Draft at FP m 0.264 0.528 0.792 1.056 1.320 Draft at AP m 0.264 0.528 0.792 1.056 1.320 Draft at LCF m 0.264 0.528 0.792 1.056 1.320 Trim (+ve by stern) m 0.000 0.000 0.000 0.000 0.000 WL Length m 9.659 11.173 12.606 13.348 13.848 WL Beam m 6.066 6.329 6.592 6.855 7.117 Wetted Area m^2 10.208 22.494 36.509 51.888 67.810 Waterpl. Area m^2 4.428 9.845 16.020 22.659 29.625 Prismatic Coeff. 0.770 0.740 0.706 0.706 0.712 Block Coeff. 0.385 0.370 0.353 0.353 0.356 Midship Area Coeff. 0.500 0.500 0.500 0.500 0.500 Waterpl. Area Coeff. 0.824 0.802 0.775 0.778 0.785 LCB from Amidsh. (+ve fwd) m 0.232 0.024 -0.141 -0.262 -0.338 LCF from Amidsh. (+ve fwd) m 0.119 -0.149 -0.345 -0.440 -0.472 KB m 0.178 0.359 0.541 0.723 0.905 KG m 1.320 1.320 1.320 1.320 1.320 BMt m 66.170 33.940 23.011 17.394 13.988 BML m 45.644 29.654 24.045 20.514 17.991 GMt m 65.028 32.979 22.231 16.797 13.573 GML m 44.502 28.692 23.265 19.917 17.576 KMt m 66.348 34.299 23.551 18.117 14.893 KML m 45.822 30.012 24.585 21.237 18.896 Immersion (TPc) tonne/cm 0.045 0.101 0.164 0.232 0.304 MTc tonne.m 0.016 0.045 0.088 0.141 0.202 RM at 1deg = GMt.Disp.sin(1) tonne.m 0.653 1.434 2.321 3.286 4.331 Max deck inclination deg 0.0 0.0 0.0 0.0 0.0 Trim angle (+ve by stern) deg 0.0 0.0 0.0 0.0 0.0
  • 18. 0.4 0.6 0.8 1 1.2 0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 0 10 20 30 40 50 60 70 80 90 -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 1.75 10 20 30 40 50 60 70 80 90 100 5 10 15 20 25 30 35 40 45 50 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0 0.025 0.05 0.075 0.1 0.125 0.15 0.175 0.2 0.225 Disp. Wet. Area WPA LCB LCF KB KMt KML Immersion (TPc) MTc Displacement tonne Draft m Area m^2 LCB, LCF, KB m KMt m KML m Immersion tonne/cm Moment to Trim tonne.m
  • 19. 0.4 0.6 0.8 1 1.2 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 Prismatic Block Midship Area Waterplane Area Coefficients Draft m
  • 20. 7. CROSS CURVE CALCULATION
  • 21. KN Calculation - KLM Utopia Damage Case - Intact Initial Trim = 0 m (+ve by stern) Relative Density (specific gravity) = 1.025; (Density = 1.0252 tonne/m^3) -4 -3 -2 -1 0 1 2 3 4 10 11 12 13 14 15 16 17 18 -30 deg. KN -20 deg. KN -10 deg. KN 0 deg. KN 10 deg. KN 20 deg. KN 30 deg. KN 40 deg. KN 50 deg. KN 60 deg. KN 70 deg. KN 80 deg. KN 90 deg. KN 100 deg. KN 110 deg. KN 120 deg. KN 130 deg. KN 140 deg. KN 150 deg. KN 160 deg. KN 170 deg. KN 180 deg. KN Displacement tonne KN m Displacement tonne KN 30.0 deg. Port. KN 20.0 deg. Port. KN 10.0 deg. Port. KN 0.0 deg. KN 10.0 deg. Starb. KN 20.0 deg. Starb. 10.00 -3.108 -3.122 -2.781 0.000 2.781 3.122 10.89 -3.129 -3.137 -2.735 0.000 2.735 3.137 11.78 -3.147 -3.151 -2.689 0.000 2.689 3.151 12.67 -3.165 -3.163 -2.645 0.000 2.645 3.163 13.56 -3.182 -3.175 -2.601 0.000 2.601 3.175 14.44 -3.198 -3.186 -2.559 0.000 2.559 3.186 15.33 -3.213 -3.196 -2.519 0.000 2.519 3.196 16.22 -3.227 -3.205 -2.481 0.000 2.481 3.205 17.11 -3.241 -3.213 -2.443 0.000 2.444 3.213 18.00 -3.255 -3.221 -2.408 0.000 2.408 3.221 Displacement tonne KN 30.0 deg. Starb. KN 40.0 deg. Starb. KN 50.0 deg. Starb. KN 60.0 deg. Starb. KN 70.0 deg. Starb. KN 80.0 deg. Starb. 10.00 3.108 3.015 2.864 2.692 2.478 2.233 10.89 3.129 3.040 2.892 2.713 2.477 2.207 11.78 3.147 3.064 2.919 2.731 2.477 2.186 12.67 3.165 3.086 2.945 2.747 2.479 2.169 13.56 3.182 3.107 2.969 2.761 2.481 2.155 14.44 3.198 3.128 2.990 2.774 2.483 2.144 15.33 3.213 3.147 3.010 2.786 2.486 2.135 16.22 3.227 3.166 3.027 2.798 2.490 2.128 17.11 3.241 3.184 3.043 2.808 2.493 2.123
  • 22. 18.00 3.255 3.201 3.057 2.817 2.497 2.120 Displacement tonne KN 90.0 deg. Starb. KN 100.0 deg. Starb. KN 110.0 deg. Starb. KN 120.0 deg. Starb. KN 130.0 deg. Starb. KN 140.0 deg. Starb. 10.00 1.871 1.367 0.790 0.177 -0.446 -1.045 10.89 1.852 1.355 0.785 0.177 -0.441 -1.037 11.78 1.834 1.344 0.780 0.177 -0.436 -1.029 12.67 1.816 1.334 0.775 0.177 -0.432 -1.020 13.56 1.799 1.324 0.770 0.176 -0.427 -1.011 14.44 1.783 1.314 0.765 0.175 -0.423 -1.003 15.33 1.767 1.304 0.759 0.175 -0.419 -0.994 16.22 1.751 1.294 0.754 0.173 -0.416 -0.986 17.11 1.736 1.283 0.748 0.172 -0.412 -0.978 18.00 1.721 1.273 0.742 0.171 -0.409 -0.970 Displacement tonne KN 150.0 deg. Starb. KN 160.0 deg. Starb. KN 170.0 deg. Starb. KN 180.0 deg. Starb. 10.00 -1.595 -2.053 -2.275 0.000 10.89 -1.580 -2.029 -2.240 0.000 11.78 -1.565 -2.007 -2.206 0.000 12.67 -1.551 -1.986 -2.173 0.000 13.56 -1.538 -1.966 -2.142 0.000 14.44 -1.525 -1.946 -2.112 0.000 15.33 -1.513 -1.929 -2.082 0.000 16.22 -1.502 -1.912 -2.053 0.000 17.11 -1.490 -1.897 -2.024 0.000 18.00 -1.479 -1.883 -1.996 0.000
  • 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
  • 87. 11. LIMITING KG (COMBINATION)
  • 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