STABILITY INTACT & TRIM

(PASSENGER SHIP CATAMARAN 17M)

Boat Type: Catamaran

Boat Builder: PT Samudera Indoraya Perkasa
Table of Contents
Main dimensions…………………………………………………………………………………....1

Stability calculations…………………………………………………………………………….…1

Conclusion on intact stability……………………………………………………………………....4

Software used……………………………………………………………………………………....4

Openings……………………………………………………………………………………………4

Weight and COG estimation…………………………………………………………………….…..5

Scenario 1 (condition at departure)………………………………………………………………...6

Scenario 2 (condition at intermediate)……………………………………………………………..13

Scenario 3 (condition at arrival)………….…………………………….………………………....20

Cross table………………………………………………………………………………………....27

Cross curves ………………………………………………………………………………...........28

Limiting KG table……………………………………………………………………....………...29

Limiting KG curve……………………………………………………………………....………...30

Tank calibration…………………………………………………………………………………..31

Compartment and tank plan………………………………………………………....………….. .33

Windage area and centroid……………………………………………………………………….34

Hull model…………………………………………………………………………………..........35
Passenger catamaran 17m

Main dimensions
Length over hull 17.00 m
Breadth 4.50 m
Depth @ frame 17 2.12 m
Draft 0.45 m
Engine inboard 2x350 HP
Speed 30 Knots

Stability calculations
The requirements as evaluated for each loading condition are listed in section “Loading conditions”.
The applied stability criteria are HSC 2000 Code - International Code of Safety for High-Speed
Craft, 2000 Resolution MSC 97(73) - Annex 7 - Stability of Multihull Craft - 1 Stability criteria in
the intact condition.

From Annex 7:
1.1. The area (A1) under the GZ curve up to an angle ș shall be at least:
A1 = 0.05 x 30°/ ș (m.rad).

where ș is the least of the following angles:

.1. the downflooding angle;

.2. the angle at which the maximum GZ occurs; and

.3. 30°

1.2. Maximum GZ

The maximum GZ value shall occur at an angle of at least 10°.

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Passenger catamaran 17m

1.3. Heeling due to windThe wind heeling lever shall be assumed constant at all angles of
inclination and shall be calculated as follows :

HL1 = Pi x A x Z / [9800 x ∆) (ҏҞm)

where:

Pi = 500 [Vw/26]2 (N/m2)

Vw = wind speed corresponding to the worst intended conditions (m/s)

A = projected lateral area of the portion of the craft above the lightest service waterline (m2)

Z = vertical distance from the centre of A to a point one half the lightest service draught (m)

∆ = displacement (t)

1.4.1. Heeling due to passenger crowding

When calculating the magnitude of the heel due to passenger crowding, a passenger crowding lever
shall be developed using the assumptions stipulated in 2.10 of this Code.

1.4.2. Heeling due to high-speed turning

When calculating the magnitude of the heel due to the effects of high-speed turning, a high-speed
turning lever shall be developed using either the following formula or an equivalent method
specifically developed for the type of craft under consideration, or trials or model test data:

TL = 1/g Vo2/R [KG – d/2] (m)

where:

TL = turning lever (m)

Vo = speed of craft in the turn (m/s)

R = turning radius (m)

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Passenger catamaran 17m

KG = height of vertical centre of gravity above keel (m)

d = mean draught (m)

g = acceleration due to gravity

The standard loading conditions referred to in the text of the present Code are as follows:
For a passenger ship:

1. ship in the fully loaded departure condition with full fuel, fresh water and with the full number of
passengers with their luggage;

2. ship in the loaded arrival condition, with full number of passengers and their luggage but with
only 10% fuel & fresh water remaining;

3. ship in the loaded intermediate/sail condition, with full number of passengers and their luggage
but with only 50% fuel & fresh water remaining;

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Passenger catamaran 17m

Conclusion on intact stability

In section “Loading conditions” compliance to applicable stability criteria is verified for the extreme
loading conditions. All result pass to the requirement of criteria:
1.1 The area (A1) under the GZ curve, min = 15.248 m.degree
1.2 Angle of maximum GZ, min = 17.30 degree
1.3 Area between GZ and heeling arms, min = 2.64 m.degree
1.4 Angle of equilibrium due to wind heeling, max = 2.3 degree

Software used
Calculations performed with Hydromax professional:

Openings
The ventilation openings of tanks and compartments are will not be submersed within the range of
inclination for which the GZ curves is calculated. All hatches, doors and windows can be shut
watertight.
The remaining openings can be closed by means of a (wheathertight) cover:

Position Offet Height

Name Type
m m m

Aft entrance PS 4 -0.50 1.30 Potential DF.point

Aft entrance SB 4 0.50 1.30 Potential DF.point

Hatch fwd PS 15 -1.38 2.2 Potential DF.point

Hatch fwd SB 15 1.38 2.2 Potential DF.point

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WEIGHT & COG ESTIMATION

Item Description Weight LCG from FR.0 Moment VCG from B.L. Moment TCG from B.L. Moment
(I) kg (II) m (I)*(II) ton.m (III) m (I)*(III) ton.m (III) m (I)*(III) ton.m
Light weight:
1 Hull plating, internal parts 5700.00 8.10 46170.00 1.40 7980.00 0.00 0.00
2 Engine Outboard N67 ENT M45 Fiat 350 HP (2 units) 1200.00 4.60 5520.00 0.65 780.00 0.00 0.00
3 Genset 120.00 3.00 360.00 0.65 78.00 0.00 0.00
4 Piping & pump 250.00 5.00 1250.00 0.40 100.00 0.00 0.00
5 Battery 24.00 6.00 144.00 0.50 12.00 0.00 0.00
6 Railing 1¼ " stainless steel 30.00 15.00 450.00 2.40 72.00 0.00 0.00
7 Steering console, radio communication & electric 40.00 12.50 500.00 2.00 80.00 0.00 0.00
8 Antena, spoiller, lights 30.00 6.00 180.00 3.90 117.00 0.00 0.00
9 Bollard pipe OD100mm 8.00 16.50 132.00 2.30 18.40 0.00 0.00
10 Mooring ropes, anchor etc (inside locker) 30.00 16.00 480.00 1.50 45.00 0.00 0.00
11 Interior & stuff (ceiling panels, teak, finishing paint, chairs) 500.00 8.20 4100.00 2.00 1000.00 0.00 0.00

Margin Calculation margin assumption 5% of LWT 396.60 8.10 3212.46 1.40 555.24 0.00 0.00

Dead weight:
1 Fuel oil 2x1000 ltr specific weight 940 kg/m3 ( 98% filled) 1842.40 6.75 12436.20 0.39 716.69 0.00 0.00
2 Fresh water 2x600 ltr (98 % filled) 1176.00 8.50 9996.00 0.35 410.42 0.00 0.00
3 Crews 4 & passengers 42 (total = 46 persons) 3450.00 8.00 27600.00 2.00 6900.00 0.00 0.00

Notes:
LCG, longitudnal centre of gravity measured from frame 0. Light weight, LWT = 8328.60 kg Dead weight, DWT = 6468.40 kg
VCG, vertical centre of gravity measured from base line B.L. LCG = 7.50 m LCG = 7.73 m
VCG = 1.30 m VCG = 1.24 m
TCG = 0.00 m TCG = 0.00 m

Displacement weight = 14797.000 kg

LCG = 7.605 m
VCG = 1.275 m
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SCENARIO 1 (CONDITION AT DEPARTURE)

Loadcase - 98% fuel oil & fresh water people 46 person

Total Mass LCG VCG TCG Total FSM
No. Item measurements Quantity
kg m m m kg.m

1 Lightship 1 8328.00 7.50 1.30 0.00 0

2 Fuel oil tank PS 98% 925.00 6.76 0.38 -1.38 225.053
3 Fuel oil tank SB 98% 925.00 6.76 0.38 1.38 225.053
4 Fresh water tank PS 98% 567.00 8.50 0.34 -1.38 150.035
5 Fresh water tank SB 98% 567.00 8.50 0.34 1.38 150.035
6 Crews & Passengers 46 3450.00 7.94 -0.50 0.00 0
Total Weight= 14762.00 LCG=7.587 m VCG=0.691 m TCG=0.000 m 750.177
FS corr.=0.051 m
VCG fluid=0.742 m

Resume equilibrium
No. Item measurements Value
1 Draft Amidsh. m 0.520
2 Displacement kg 14763.00
3 Heel to Starboard degrees 0.00
4 Draft at FP m 0.53
5 Draft at AP m 0.51
6 Draft at LCF m 0.52
7 Trim (+ve by stern) m -0.02
8 WL Length m 15.62
9 WL Beam m 4.32
10 Wetted Area m^2 66.56
11 Waterpl. Area m^2 46.50
12 Prismatic Coeff. 0.75
13 Block Coeff. 0.40
14 Midship Area Coeff. 0.74
15 Waterpl. Area Coeff. 0.92
16 LCB from zero pt. (+ve fwd) m 7.59
17 LCF from zero pt. (+ve fwd) m 7.33
18 KB m 0.34

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19 KG fluid m 0.74
20 BMt m 6.61
21 BML m 58.19
22 GMt corrected m 6.21
23 GML corrected m 57.79
24 KMt m 6.95
25 KML m 58.53
26 Immersion (TPc) tonne/cm 0.48
27 MTc tonne.m 0.55
28 RM at 1deg = GMt.Disp.sin(1) kg.m 1599.11
29 Max deck inclination deg 0.10
30 Trim angle (+ve by stern) deg -0.10
Notes:
LCG, longitudnal centre of gravity measured from frame 0
VCG, vertical centre of gravity measured from base line B.L.

Stability
No. Heel to Starboard degrees -20 -10 0 10 20 30
1 Displacement kg 14762 14764 14763 14761 14762 14763
2 Draft at FP m 0.341 0.504 0.531 0.504 0.341 0.038
3 Draft at AP m 0.304 0.492 0.51 0.492 0.304 0.007
4 WL Length m 16.051 15.933 15.62 15.933 16.051 16.045
5 Immersed Depth m 0.953 0.922 0.706 0.922 0.952 0.909
6 WL Beam m 3.793 4.118 4.315 4.117 3.792 2.322
7 Wetted Area m^2 43.928 60.565 66.562 60.559 43.929 44.698
8 Waterpl. Area m^2 26.227 39.9 46.503 39.896 26.227 28.29
9 Prismatic Coeff. 0.815 0.762 0.747 0.762 0.815 0.819
10 Block Coeff. 0.533 0.326 0.403 0.326 0.533 0.519
11 LCB from zero pt. m 7.588 7.587 7.587 7.587 7.589 7.589
12 VCB from DWL m 0.315 0.252 0.178 0.252 0.315 0.314
13 GZ m -1.331 -1.002 0 1.002 1.331 1.273
14 LCF from zero pt. m 7.595 7.601 7.325 7.601 7.595 7.594
15 TCF to zero pt. m -1.579 -0.49 0 0.49 1.579 1.651
16 Max deck inclination deg 20 10 0.1 10 20 30
17 Trim angle (+ve by stern) deg -0.1 0 -0.1 0 -0.1 -0.1

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Stability
No. Heel to Starboard degrees 40 50 60 70 80 90
1 Displacement kg 14762 14763 14761 14763 14762 14761
2 Draft at FP m -0.345 -0.891 -1.774 -3.481 -8.411 N/A
3 Draft at AP m -0.371 -0.919 -1.815 -3.544 -8.438 N/A
4 WL Length m 16.057 16.046 16.038 16.203 16.662 16.871
5 Immersed Depth m 0.942 0.925 0.853 0.74 0.611 0.565
6 WL Beam m 2.35 2.394 2.505 2.222 2.114 2.015
7 Wetted Area m^2 44.719 45.82 48.364 48.919 46.562 46.513
8 Waterpl. Area m^2 29.264 30.988 34.882 34.18 32.112 30.653
9 Prismatic Coeff. 0.83 0.843 0.855 0.862 0.851 0.86
10 Block Coeff. 0.475 0.464 0.454 0.54 0.67 0.75
11 LCB from zero pt. m 7.588 7.588 7.588 7.588 7.588 7.585
12 VCB from DWL m 0.31 0.294 0.263 0.237 0.239 0.248
13 GZ m 1.193 1.085 0.976 0.861 0.71 0.504
14 LCF from zero pt. m 7.704 7.804 7.908 7.963 8.034 7.999
15 TCF to zero pt. m 1.728 1.788 1.83 1.625 1.416 1.176
16 Max deck inclination deg 40 50 60 70 80 90
17 Trim angle (+ve by stern) deg -0.1 -0.1 -0.2 -0.2 -0.1 -1.$

DF angle Freeboard
Key point Type
degree m
Margin Line (immersion pos = 12.59 m; freeboard pos = 17 m) 58.26 1.51
Deck Edge (immersion pos = 12.59 m; freeboard pos = 17 m) 60.14 1.59
Entrance door Potential df point Not immersed 0.79
Entrance door Potential df point Not immersed 0.79
Hatch fwd Potential df point Not immersed 1.67
Hatch fwd Potential df point Not immersed 1.67

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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 deg 0
to the lesser of
spec. heel angle 30 deg
angle of max. GZ 21.8 deg 21.8
first downflooding angle n/a deg
angle of vanishing stability 90 deg
higher heel angle 30 deg
required GZ area at higher heel angle 3.15 m.deg
shall not be less than (>=) 4.33 m.deg 20.02 Pass

HSC multi. Intact 1.2: Angle of maximum GZ Pass

shall not be less than (>=) 10 deg 21.8 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 = 42
passenger mass: M = 75 kg
distance from centre line: D = 2 m
cosine power: n = 0
Turn arm: a v^2 / (R g) h cos^n(phi)
constant: a = 1
vessel speed: v = 30 kts
turn radius: R = 50 m
Vertical lever: h = 1.25 m
cosine power: n = 0
Wind arm: a P A (h - H) / (g disp.) cos^n(phi)
constant: a = 1.50
wind model Pressure
wind pressure: P = 500 Pa
area centroid height: h = 1.67 m
additional area: A = 33.75 m^2
height of lateral resistance: H = 0.23 m
cosine power: n = 0
Area integrated from the greater of



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Code Criteria Value Units Actual Status

angle of equilibrium (with heel arm) 4.1 deg 8.3, 10.1
to the lesser of
spec. angle above equilibrium (with heel arm) 15.0 (19.1) deg 15.0 (23.3), 15.0 (25.1)
first downflooding angle n/a deg
angle of vanishing stability (with heel arm) n/a deg 69.4, 56.9
Criteria: Area betw. GZ and heeling arms shall not be less than (>=)... Pass
Hpc + Hw 1.60 m.deg 5.15 Pass
Ht + Hw 1.60 m.deg 3.74 Pass
Intermediate values
Pass. crowding heel arm amplitude (Hpc) m 0.47
Turning heel arm amplitude (Ht) m 0.61
Model windage area m^2 26.24
Model windage area centroid height m 1.33
Total windage area m^2 59.99
Total windage area centroid height m 1.52
Wind heeling heel arm amplitude (Hw) m 0.40
Area under GZ curve, from 5.5 to 20.5 deg. m.deg 18.18
Area under GZ curve, from 5.7 to 20.7 deg. m.deg 18.89
Area under Hpc + Hw, from 5.5 to 20.5 deg. m.deg 13.03
Area under Ht + Hw, from 5.7 to 20.7 deg. m.deg 15.15

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 = 42
passenger mass: M = 75 kg
distance from centre line: D = 2 m
cosine power: n = 0
Turn arm: a v^2 / (R g) h cos^n(phi)
constant: a = 1
vessel speed: v = 30 kts
turn radius: R = 50 m
Vertical lever: h = 1.25 m
cosine power: n = 0
Wind arm: a P A (h - H) / (g disp.) cos^n(phi)



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Code Criteria Value Units Actual Status

constant: a = 1.00
wind model Pressure
wind pressure: P = 500.00 Pa
area centroid height: h = 1.67 m
additional area: A = 33.75 m^2
height of lateral resistance: H = 0.23 m
cosine power: n = 0.00
Criteria: Angle of equ. due to the following shall not be greater than… Pass
Passenger crowding (Hcp) 12 deg 3.80 Pass
Wind heeling (Hw) 12 deg 2.30 Pass
Intermediate values
Pass. crowding heel arm amplitude (Hpc) m 0.43
Model windage area m^2 26.24
Model windage area centroid height m 1.33
Total windage area m^2 59.99
Total windage area centroid height m 1.52
Wind heeling heel arm amplitude (Hw) m 0.27

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GZ CURVE

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SCENARIO 2 (CONDITION AT INTERMEDIATE)

Loadcase - 50% fuel oil & 50% fresh water, people 46 person
Total Mass LCG VCG TCG Total FSM
No. Item measurements Quantity
kg m m m kg.m

1 Lightship 1 8328.00 7.50 1.30 0.00 0

2 Fuel oil tank PS 50% 472.00 6.76 0.25 -1.38 225.053
3 Fuel oil tank SB 50% 472.00 6.76 0.25 1.38 225.053
4 Fresh water tank PS 50% 289.00 8.50 0.22 -1.38 150.035
5 Fresh water tank SB 50% 289.00 8.50 0.22 1.38 150.035
6 Crews & Passengers 46 3450.00 7.94 -0.50 0.00 0
Total Weight= 13300.00 LCG=7.605 m VCG=0.712 m TCG=0.000 m 750.177
FS corr.=0.056 m
VCG fluid=0.768 m

Resume equilibrium
No. Item measurements Value
1 Draft Amidsh. m 0.489
2 Displacement kg 13301.00
3 Heel to Starboard degrees 0.00
4 Draft at FP m 0.50
5 Draft at AP m 0.48
6 Draft at LCF m 0.49
7 Trim (+ve by stern) m -0.02
8 WL Length m 15.57
9 WL Beam m 4.31
10 Wetted Area m^2 64.32
11 Waterpl. Area m^2 45.95
12 Prismatic Coeff. 0.74
13 Block Coeff. 0.38
14 Midship Area Coeff. 0.72
15 Waterpl. Area Coeff. 0.92
16 LCB from zero pt. (+ve fwd) m 7.61
17 LCF from zero pt. (+ve fwd) m 7.28
18 KB m 0.32

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19 KG fluid m 0.77
20 BMt m 7.26
21 BML m 62.95
22 GMt corrected m 6.82
23 GML corrected m 62.51
24 KMt m 7.58
25 KML m 63.28
26 Immersion (TPc) tonne/cm 0.47
27 MTc tonne.m 0.53
28 RM at 1deg = GMt.Disp.sin(1) kg.m 1582.00
29 Max deck inclination deg 0.10
30 Trim angle (+ve by stern) deg -0.10
Notes:
LCG, longitudnal centre of gravity measured from frame 0
VCG, vertical centre of gravity measured from base line B.L.

Stability
No. Heel to Starboard degrees -20 -10 0 10 20 30
1 Displacement kg 13301.00 13300.00 13302.00 13300.00 13301.00 13302.00
2 Draft at FP m 0.29 0.47 0.50 0.47 0.29 -0.02
3 Draft at AP m 0.24 0.45 0.48 0.45 0.24 -0.06
4 WL Length m 15.99 15.89 15.57 15.89 15.99 15.98
5 Immersed Depth m 0.90 0.88 0.68 0.88 0.90 0.86
6 WL Beam m 2.24 4.04 4.31 4.04 2.24 2.29
7 Wetted Area m^2 41.87 56.74 64.32 56.74 41.87 42.55
8 Waterpl. Area m^2 25.80 37.65 45.95 37.65 25.80 27.56
9 Prismatic Coeff. 0.81 0.76 0.74 0.76 0.81 0.81
10 Block Coeff. 0.52 0.32 0.38 0.32 0.52 0.50
11 LCB from zero pt. m 7.61 7.61 7.61 7.61 7.61 7.61
12 VCB from DWL m 0.29 0.24 0.17 0.24 0.29 0.30
13 GZ m -1.32 -1.06 0.00 1.06 1.32 1.26
14 LCF from zero pt. m 7.56 7.68 7.28 7.68 7.56 7.58
15 TCF to zero pt. m -1.56 -0.57 0.00 0.57 1.56 1.64
16 Max deck inclination deg 20.00 10.00 0.10 10.00 20.00 30.00
17 Trim angle (+ve by stern) deg -0.20 -0.10 -0.10 -0.10 -0.20 -0.10

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Stability
No. Heel to Starboard degrees 40 50 60 70 80 90
1 Displacement kg 13301.00 13302.00 13300.00 13302.00 13300.00 13301.00
2 Draft at FP m -0.40 -0.95 -1.84 -3.58 -8.61 N/A
3 Draft at AP m -0.44 -1.00 -1.92 -3.69 -8.76 N/A
4 WL Length m 16.00 16.00 15.98 16.12 16.59 16.84
5 Immersed Depth m 0.89 0.88 0.81 0.70 0.57 0.52
6 WL Beam m 2.31 2.34 2.43 2.28 2.10 2.00
7 Wetted Area m^2 42.52 43.59 46.02 47.02 44.81 44.77
8 Waterpl. Area m^2 27.97 29.63 33.36 34.90 31.77 30.34
9 Prismatic Coeff. 0.82 0.84 0.85 0.86 0.85 0.86
10 Block Coeff. 0.47 0.46 0.45 0.51 0.66 0.75
11 LCB from zero pt. m 7.61 7.61 7.61 7.61 7.61 7.61
12 VCB from DWL m 0.29 0.28 0.25 0.22 0.22 0.23
13 GZ m 1.17 1.05 0.93 0.83 0.69 0.49
14 LCF from zero pt. m 7.70 7.80 7.91 7.88 8.01 7.97
15 TCF to zero pt. m 1.72 1.77 1.79 1.62 1.43 1.18
16 Max deck inclination deg 40.00 50.00 60.00 70.00 80.00 90.00
17 Trim angle (+ve by stern) deg -0.20 -0.20 -0.30 -0.40 -0.60 -1.$

DF angle Freeboard
Key point Type
degree m
Margin Line (immersion pos = 12.59 m; freeboard pos = 17 m) 60.08 1.54
Deck Edge (immersion pos = 12.59 m; freeboard pos = 17 m) 62.01 1.62
Entrance door Potential df point Not immersed 0.82
Entrance door Potential df point Not immersed 0.82
Hatch fwd Potential df point Not immersed 1.702
Hatch fwd Potential df point Not immersed 1.702

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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 deg 0
to the lesser of
spec. heel angle 30 deg
angle of max. GZ 20 deg 20
first downflooding angle n/a deg
angle of vanishing stability 90 deg
higher heel angle 30 deg
required GZ area at higher heel angle 3.15 m.deg
shall not be less than (>=) 4.73 m.deg 18.295 Pass

HSC multi. Intact 1.2: Angle of maximum GZ Pass

shall not be less than (>=) 10 deg 20 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 = 42
passenger mass: M = 75 kg
distance from centre line: D = 2 m
cosine power: n = 0
Turn arm: a v^2 / (R g) h cos^n(phi)
constant: a = 1
vessel speed: v = 30 kts
turn radius: R = 50 m
Vertical lever: h = 1.25 m
cosine power: n = 0
Wind arm: a P A (h - H) / (g disp.) cos^n(phi)
constant: a = 1.50
wind model Pressure
wind pressure: P = 500 Pa
area centroid height: h = 1.67 m
additional area: A = 33.75 m^2
height of lateral resistance: H = 0.23 m
cosine power: n = 0
Area integrated from the greater of

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Code Criteria Value Units Actual Status

angle of equilibrium (with heel arm) 3.9 deg 8.2, 9.9
to the lesser of
spec. angle above equilibrium (with heel arm) 15.0 (18.9) deg 15.0 (23.2), 15.0 (24.9)
first downflooding angle n/a deg
angle of vanishing stability (with heel arm) n/a deg 61.2, 49.7
Criteria: Area betw. GZ and heeling arms shall not be less than (>=)... Pass
Hpc + Hw 1.60 m.deg 4.70 Pass
Ht + Hw 1.60 m.deg 3.23 Pass
Intermediate values
Pass. crowding heel arm amplitude (Hpc) m 0.47
Turning heel arm amplitude (Ht) m 0.61
Model windage area m^2 26.72
Model windage area centroid height m 1.32
Total windage area m^2 60.47
Total windage area centroid height m 1.51
Wind heeling heel arm amplitude (Hw) m 0.45
Area under GZ curve, from 5.5 to 20.5 deg. m.deg 18.50
Area under GZ curve, from 5.7 to 20.7 deg. m.deg 19.05
Area under Hpc + Hw, from 5.5 to 20.5 deg. m.deg 13.80
Area under Ht + Hw, from 5.7 to 20.7 deg. m.deg 15.83

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 = 42
passenger mass: M = 75 kg
distance from centre line: D = 2 m
cosine power: n = 0
Turn arm: a v^2 / (R g) h cos^n(phi)
constant: a = 1
vessel speed: v = 30 kts
turn radius: R = 50 m
Vertical lever: h = 1.25 m
cosine power: n = 0
Wind arm: a P A (h - H) / (g disp.) cos^n(phi)

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

Code Criteria Value Units Actual Status

constant: a = 1.00
wind model Pressure
wind pressure: P = 500.00 Pa
area centroid height: h = 1.67 m
additional area: A = 33.75 m^2
height of lateral resistance: H = 0.23 m
cosine power: n = 0.00
Criteria: Angle of equ. due to the following shall not be greater than… Pass
Passenger crowding (Hcp) 12 deg 3.90 Pass
Wind heeling (Hw) 12 deg 2.40 Pass
Intermediate values
Pass. crowding heel arm amplitude (Hpc) m 0.47
Model windage area m^2 26.72
Model windage area centroid height m 1.32
Total windage area m^2 60.47
Total windage area centroid height m 1.51
Wind heeling heel arm amplitude (Hw) m 0.30

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

GZ CURVE

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

SCENARIO 2 (CONDITION AT INTERMEDIATE)

Loadcase - 10% fuel oil & 10% fresh water, people 46 person
Total Mass LCG VCG TCG Total FSM
No. Item measurements Quantity
kg m m m kg.m

1 Lightship 1 8328.00 7.50 1.30 0.00 0

2 Fuel oil tank PS 10% 93.80 6.80 0.12 -1.38 225.053
3 Fuel oil tank SB 10% 93.80 6.80 0.12 1.38 225.053
4 Fresh water tank PS 10% 57.60 8.50 0.10 -1.38 150.035
5 Fresh water tank SB 10% 57.60 8.50 0.10 1.38 150.035
6 Crews & Passengers 46 3450.00 7.94 -0.50 0.00 0
Total Weight= 12081.00 LCG=7.624 m VCG=0.756 m TCG=0.000 m 750.177
FS corr.=0.062 m
VCG fluid=0.818 m

Resume equilibrium
No. Item measurements Value
1 Draft Amidsh. m 0.463
2 Displacement kg 12082.00
3 Heel to Starboard degrees 0.00
4 Draft at FP m 0.47
5 Draft at AP m 0.46
6 Draft at LCF m 0.46
7 Trim (+ve by stern) m -0.01
8 WL Length m 15.52
9 WL Beam m 4.31
10 Wetted Area m^2 62.46
11 Waterpl. Area m^2 45.51
12 Prismatic Coeff. 0.72
13 Block Coeff. 0.36
14 Midship Area Coeff. 0.71
15 Waterpl. Area Coeff. 0.91
16 LCB from zero pt. (+ve fwd) m 7.63
17 LCF from zero pt. (+ve fwd) m 7.24
18 KB m 0.31

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

19 KG fluid m 0.82
20 BMt m 7.93
21 BML m 67.89
22 GMt corrected m 7.42
23 GML corrected m 67.38
24 KMt m 8.24
25 KML m 68.19
26 Immersion (TPc) tonne/cm 0.47
27 MTc tonne.m 0.52
28 RM at 1deg = GMt.Disp.sin(1) kg.m 1564.13
29 Max deck inclination deg 0.10
30 Trim angle (+ve by stern) deg -0.10
Notes:
LCG, longitudnal centre of gravity measured from frame 0
VCG, vertical centre of gravity measured from base line B.L.

Stability
No. Heel to Starboard degrees -20 -10 0 10 20 30
1 Displacement kg 12082.00 12080.00 12081.00 12080.00 12082.00 12081.00
2 Draft at FP m 0.24 0.44 0.47 0.44 0.24 -0.06
3 Draft at AP m 0.19 0.41 0.46 0.41 0.19 -0.11
4 WL Length m 15.93 15.85 15.52 15.85 15.93 15.92
5 Immersed Depth m 0.85 0.85 0.65 0.85 0.85 0.82
6 WL Beam m 2.22 3.97 4.31 3.97 2.22 2.26
7 Wetted Area m^2 40.23 53.38 62.46 53.38 40.23 40.71
8 Waterpl. Area m^2 25.51 35.70 45.51 35.70 25.51 26.80
9 Prismatic Coeff. 0.80 0.75 0.72 0.75 0.80 0.81
10 Block Coeff. 0.51 0.31 0.36 0.31 0.51 0.49
11 LCB from zero pt. m 7.63 7.63 7.63 7.63 7.63 7.63
12 VCB from DWL m 0.27 0.23 0.16 0.23 0.27 0.28
13 GZ m -1.31 -1.11 0.00 1.11 1.31 1.24
14 LCF from zero pt. m 7.54 7.73 7.24 7.73 7.54 7.60
15 TCF to zero pt. m -1.55 -0.65 0.00 0.65 1.55 1.63
16 Max deck inclination deg 20.00 10.00 0.10 10.00 20.00 30.00
17 Trim angle (+ve by stern) deg -0.20 -0.10 -0.10 -0.10 -0.20 -0.20

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

Stability
No. Heel to Starboard degrees 40 50 60 70 80 90
1 Displacement kg 12082.00 12082.00 12080.00 12082.00 12080.00 12082.00
2 Draft at FP m -0.45 -1.01 -1.90 -3.66 -8.78 N/A
3 Draft at AP m -0.51 -1.08 -2.00 -3.81 -9.03 N/A
4 WL Length m 15.96 15.96 15.94 16.05 16.53 16.80
5 Immersed Depth m 0.85 0.84 0.78 0.67 0.53 0.48
6 WL Beam m 2.27 2.29 2.37 2.38 2.08 1.99
7 Wetted Area m^2 40.65 41.69 44.05 45.12 43.34 43.30
8 Waterpl. Area m^2 26.88 28.49 32.09 35.00 31.48 30.06
9 Prismatic Coeff. 0.82 0.83 0.84 0.85 0.84 0.85
10 Block Coeff. 0.47 0.45 0.44 0.46 0.65 0.73
11 LCB from zero pt. m 7.63 7.63 7.63 7.63 7.63 7.63
12 VCB from DWL m 0.28 0.26 0.23 0.21 0.20 0.21
13 GZ m 1.13 1.00 0.87 0.78 0.64 0.44
14 LCF from zero pt. m 7.70 7.81 7.92 7.83 7.98 7.95
15 TCF to zero pt. m 1.71 1.75 1.76 1.62 1.45 1.19
16 Max deck inclination deg 40.00 50.00 60.00 70.00 80.00 90.00
17 Trim angle (+ve by stern) deg -0.20 -0.30 -0.40 -0.50 -0.90 -1.$

DF angle Freeboard
Key point Type
degree m
Margin Line (immersion pos = 13.05 m; freeboard pos = 17 m) 61.79 1.57
Deck Edge (immersion pos = 13.05 m; freeboard pos = 17 m) 63.59 1.65
Entrance door Potential df point Not immersed 0.84
Entrance door Potential df point Not immersed 0.84
Hatch fwd Potential df point Not immersed 1.73
Hatch fwd Potential df point Not immersed 1.73

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

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 deg 0
to the lesser of
spec. heel angle 30 deg
angle of max. GZ 17.3 deg 17.3
first downflooding angle n/a deg
angle of vanishing stability 90 deg
higher heel angle 30 deg
required GZ area at higher heel angle 3.15 m.deg
shall not be less than (>=) 5.47 m.deg 15.248 Pass

HSC multi. Intact 1.2: Angle of maximum GZ Pass

shall not be less than (>=) 10 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 = 42
passenger mass: M = 75 kg
distance from centre line: D = 2 m
cosine power: n = 0
Turn arm: a v^2 / (R g) h cos^n(phi)
constant: a = 1
vessel speed: v = 30 kts
turn radius: R = 50 m
Vertical lever: h = 1.25 m
cosine power: n = 0
Wind arm: a P A (h - H) / (g disp.) cos^n(phi)
constant: a = 1.50
wind model Pressure
wind pressure: P = 500 Pa
area centroid height: h = 1.67 m
additional area: A = 33.75 m^2
height of lateral resistance: H = 0.23 m
cosine power: n = 0
Area integrated from the greater of

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

Code Criteria Value Units Actual Status

angle of equilibrium (with heel arm) 4 deg 8.7, 9.8
to the lesser of
spec. angle above equilibrium (with heel arm) 15.0 (19.0) deg 15.0 (23.7), 15.0 (24.8)
first downflooding angle n/a deg
angle of vanishing stability (with heel arm) 86.1 deg 49.1, 42.6
Criteria: Area betw. GZ and heeling arms shall not be less than (>=)... Pass
Hpc + Hw 1.60 m.deg 3.69 Pass
Ht + Hw 1.60 m.deg 2.64 Pass
Intermediate values
Pass. crowding heel arm amplitude (Hpc) m 0.52
Turning heel arm amplitude (Ht) m 0.61
Model windage area m^2 27.13
Model windage area centroid height m 1.30
Total windage area m^2 60.88
Total windage area centroid height m 1.51
Wind heeling heel arm amplitude (Hw) m 0.49
Area under GZ curve, from 5.5 to 20.5 deg. m.deg 18.89
Area under GZ curve, from 5.7 to 20.7 deg. m.deg 19.15
Area under Hpc + Hw, from 5.5 to 20.5 deg. m.deg 15.20
Area under Ht + Hw, from 5.7 to 20.7 deg. m.deg 16.51

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 = 42
passenger mass: M = 75 kg
distance from centre line: D = 2 m
cosine power: n = 0
Turn arm: a v^2 / (R g) h cos^n(phi)
constant: a = 1
vessel speed: v = 30 kts
turn radius: R = 50 m
Vertical lever: h = 1.25 m
cosine power: n = 0
Wind arm: a P A (h - H) / (g disp.) cos^n(phi)

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

Code Criteria Value Units Actual Status

constant: a = 1.00
wind model Pressure
wind pressure: P = 500.00 Pa
area centroid height: h = 1.67 m
additional area: A = 33.75 m^2
height of lateral resistance: H = 0.23 m
cosine power: n = 0.00
Criteria: Angle of equ. due to the following shall not be greater than… Pass
Passenger crowding (Hcp) 12 deg 4.00 Pass
Wind heeling (Hw) 12 deg 2.50 Pass
Intermediate values
Pass. crowding heel arm amplitude (Hpc) m 0.52
Model windage area m^2 27.13
Model windage area centroid height m 1.30
Total windage area m^2 60.88
Total windage area centroid height m 1.51
Wind heeling heel arm amplitude (Hw) m 0.33

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶϭϳŵ

GZ CURVE

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶ 17m

CROSS TABLE
Displacement KN (m) KN (m) KN (m) KN (m) KN (m) KN (m) KN (m) KN (m) KN (m) KN (m)
No.
kg 0 deg. SB 10 deg. SB 20 deg. SB 30 deg. SB 40 deg. SB 50 deg. SB 60 deg. SB 70 deg. SB 80 deg. SB 90 deg. SB

1 1000 0.00 1.55 1.66 1.71 1.70 1.58 1.39 1.18 1.07 1.65
2 2000 0.00 1.57 1.66 1.68 1.64 1.57 1.42 1.26 1.22 1.50
3 3000 0.00 1.57 1.65 1.67 1.63 1.56 1.44 1.32 1.30 1.41
4 4000 0.00 1.56 1.65 1.66 1.63 1.55 1.46 1.36 1.36 1.37
5 5000 0.00 1.54 1.64 1.66 1.63 1.55 1.48 1.40 1.39 1.34
6 6000 0.00 1.52 1.63 1.66 1.63 1.56 1.49 1.43 1.41 1.32
7 7000 0.00 1.50 1.62 1.66 1.63 1.57 1.51 1.46 1.42 1.31
8 8000 0.00 1.46 1.62 1.66 1.64 1.59 1.52 1.49 1.43 1.29
9 9000 0.00 1.42 1.61 1.65 1.64 1.60 1.53 1.51 1.44 1.28
10 10000 0.00 1.36 1.60 1.65 1.65 1.61 1.55 1.53 1.44 1.28
11 11000 0.00 1.31 1.59 1.65 1.65 1.62 1.56 1.54 1.44 1.27
12 12000 0.00 1.26 1.59 1.65 1.66 1.63 1.58 1.55 1.44 1.26
13 13000 0.00 1.21 1.59 1.64 1.66 1.64 1.59 1.55 1.44 1.26
14 14000 0.00 1.17 1.59 1.64 1.67 1.65 1.61 1.55 1.44 1.25
15 15000 0.00 1.12 1.59 1.64 1.67 1.66 1.62 1.56 1.44 1.24

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WĂƐƐĞŶŐĞƌĐĂƚĂŵĂƌĂŶ 17m

CROSS CURVE

28

 Passenger catamaran 17m

LIMIT KG TABLE
Displacement Limit KG
No. Criteria Type
kg m

1 8000 -0.07 HSC multi. Intact 1.5: HTL: Area between GZ and HA
2 8250 0.06 HSC multi. Intact 1.5: HTL: Area between GZ and HA
3 8500 0.18 HSC multi. Intact 1.5: HTL: Area between GZ and HA
4 8750 0.29 HSC multi. Intact 1.5: HTL: Area between GZ and HA
5 9000 0.40 HSC multi. Intact 1.5: HTL: Area between GZ and HA
6 9250 0.50 HSC multi. Intact 1.5: HTL: Area between GZ and HA
7 9500 0.60 HSC multi. Intact 1.5: HTL: Area between GZ and HA
8 9750 0.69 HSC multi. Intact 1.5: HTL: Area between GZ and HA
9 10000 0.78 HSC multi. Intact 1.5: HTL: Area between GZ and HA
10 10250 0.86 HSC multi. Intact 1.5: HTL: Area between GZ and HA
11 10500 0.91 HSC multi. Intact 1.5: HTL: Area between GZ and HA
12 10750 0.94 HSC multi. Intact 1.5: HTL: Area between GZ and HA
13 11000 0.96 HSC multi. Intact 1.5: HTL: Area between GZ and HA
14 11250 0.99 HSC multi. Intact 1.5: HTL: Area between GZ and HA
15 11500 1.01 HSC multi. Intact 1.5: HTL: Area between GZ and HA
16 11750 1.03 HSC multi. Intact 1.5: HTL: Area between GZ and HA
17 12000 1.06 HSC multi. Intact 1.5: HTL: Area between GZ and HA
18 12250 1.08 HSC multi. Intact 1.5: HTL: Area between GZ and HA
19 12500 1.10 HSC multi. Intact 1.5: HTL: Area between GZ and HA
20 12750 1.12 HSC multi. Intact 1.5: HTL: Area between GZ and HA
21 13000 1.14 HSC multi. Intact 1.5: HTL: Area between GZ and HA
22 13250 1.16 HSC multi. Intact 1.5: HTL: Area between GZ and HA
23 13500 1.18 HSC multi. Intact 1.5: HTL: Area between GZ and HA
24 13750 1.19 HSC multi. Intact 1.5: HTL: Area between GZ and HA
25 14000 1.21 HSC multi. Intact 1.5: HTL: Area between GZ and HA
26 14250 1.23 HSC multi. Intact 1.5: HTL: Area between GZ and HA
27 14500 1.24 HSC multi. Intact 1.5: HTL: Area between GZ and HA
28 14750 1.26 HSC multi. Intact 1.5: HTL: Area between GZ and HA
29 15000 1.28 HSC multi. Intact 1.5: HTL: Area between GZ and HA

29

 Passenger catamaran 17m

LIMIT KG CURVE

30

 Passenger catamaran 17m

TANK CALIBRATION
FUEL OIL TANK Sounding Ullage Capacity Capacity LCG TCG VCG FSM
% Full 3
PS / SB m m m kg m m m kg.m

0.65 0.00 100.00 1.00 943.60 6.76 -1.38 0.39 0.00

0.63 0.01 98.00 0.98 924.60 6.76 -1.38 0.38 225.05
0.63 0.02 96.30 0.96 908.90 6.76 -1.38 0.38 225.05
0.60 0.05 91.70 0.92 865.00 6.76 -1.38 0.37 225.05
0.58 0.07 87.00 0.87 821.10 6.76 -1.38 0.35 225.05
0.55 0.10 82.40 0.82 777.20 6.76 -1.38 0.34 225.05
0.53 0.12 77.70 0.78 733.30 6.76 -1.38 0.33 225.05
0.50 0.15 73.10 0.73 689.40 6.76 -1.38 0.32 225.05
0.48 0.17 68.40 0.68 645.50 6.76 -1.38 0.30 225.05
0.45 0.20 63.80 0.64 601.50 6.76 -1.38 0.29 225.05
0.43 0.22 59.10 0.59 557.60 6.76 -1.38 0.28 225.05
0.40 0.25 54.40 0.54 513.70 6.76 -1.38 0.26 225.05
0.38 0.27 49.80 0.50 469.80 6.76 -1.38 0.25 225.05
0.35 0.30 45.10 0.45 425.90 6.76 -1.38 0.24 225.05
0.33 0.32 40.50 0.41 382.00 6.77 -1.38 0.23 225.05
0.30 0.35 35.80 0.36 338.10 6.77 -1.38 0.21 225.05
0.28 0.37 31.20 0.31 294.20 6.77 -1.38 0.20 225.05
0.25 0.40 26.50 0.27 250.30 6.77 -1.38 0.18 225.05
0.23 0.42 21.90 0.22 206.40 6.78 -1.38 0.17 225.05
0.20 0.45 17.20 0.17 162.50 6.79 -1.38 0.15 217.62
0.18 0.47 12.90 0.13 121.50 6.79 -1.38 0.14 147.26
0.15 0.50 9.20 0.09 86.50 6.80 -1.38 0.12 88.42
0.13 0.52 6.10 0.06 57.40 6.82 -1.38 0.10 47.88
0.10 0.55 3.60 0.04 34.30 6.84 -1.38 0.09 22.20
0.08 0.57 1.80 0.02 17.20 6.88 -1.38 0.07 7.97
0.06 0.59 1.00 0.01 9.40 6.93 -1.38 0.06 3.30
0.05 0.60 0.6 0.01 6.00 6.97 -1.38 0.05 1.75
0.03 0.62 0.1 0.00 0.90 7.19 -1.38 0.03 0.12

Notes:
F.O.T at Port side & F.O.T at Starboard side are equal

31

 Passenger catamaran 17m

FRESH WATER TANK Sounding Ullage Capacity Capacity LCG TCG VCG FSM
% Full
PS / SB m m m3 kg m m m kg.m

0.60 0.00 100.00 0.61 578.90 8.50 -1.38 0.35 0.00

0.59 0.01 98.00 0.60 567.30 8.50 -1.38 0.34 150.04
0.58 0.02 95.10 0.58 550.40 8.50 -1.38 0.34 150.04
0.55 0.05 90.00 0.55 521.10 8.50 -1.38 0.32 150.04
0.53 0.07 85.00 0.52 491.90 8.50 -1.38 0.31 150.04
0.50 0.10 79.90 0.49 462.60 8.50 -1.38 0.30 150.04
0.48 0.12 74.90 0.46 433.30 8.50 -1.38 0.29 150.04
0.45 0.15 69.80 0.43 404.10 8.50 -1.38 0.27 150.04
0.43 0.17 64.70 0.40 374.80 8.50 -1.38 0.26 150.04
0.40 0.20 59.70 0.37 345.50 8.50 -1.38 0.25 150.04
0.38 0.22 54.60 0.34 316.20 8.50 -1.38 0.23 150.04
0.35 0.25 49.60 0.30 287.00 8.50 -1.38 0.22 150.04
0.33 0.27 44.50 0.27 257.70 8.50 -1.38 0.21 150.04
0.30 0.30 39.50 0.24 228.40 8.50 -1.38 0.19 150.04
0.28 0.32 34.40 0.21 199.10 8.50 -1.38 0.18 150.04
0.25 0.35 29.30 0.18 169.90 8.50 -1.38 0.17 150.04
0.23 0.37 24.30 0.15 140.60 8.50 -1.38 0.15 150.04
0.20 0.40 19.30 0.12 111.50 8.50 -1.38 0.14 135.60
0.18 0.42 14.70 0.09 85.00 8.50 -1.38 0.12 90.22
0.15 0.45 10.70 0.07 62.00 8.50 -1.38 0.10 56.30
0.13 0.47 7.40 0.05 42.70 8.51 -1.38 0.09 32.17
0.10 0.50 4.70 0.03 27.00 8.51 -1.38 0.07 16.16
0.08 0.52 2.60 0.02 14.90 8.51 -1.38 0.05 6.60
0.05 0.55 1.10 0.01 6.30 8.52 -1.38 0.04 1.84
0.05 0.55 1 0.01 5.80 8.52 -1.38 0.03 1.60
0.03 0.57 0.2 0.00 1.40 8.55 -1.38 0.02 0.19
Notes:
F.W.T at Port side & F.W.T at Starboard side are equal

32
Passenger catamaran 17m

Hull model

35