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1
INTACT STABILITY BOOKLET
for
VENUS 2
LK 1102
Document no.: GLOM 1102 0618
powered by
2
Contents
1 INTRODUCTION ................................................................................................................................................6
1.1 General .....................................................................................................................................................6
1.2 Main vessel data .......................................................................................................................................6
1.3 Lightship data ...........................................................................................................................................6
1.4 Axes system origin ....................................................................................................................................6
1.5 Cargo on deck ...........................................................................................................................................7
1.6 Stability model ..........................................................................................................................................7
2 TANK PLAN ........................................................................................................................................................8
2.1 Tank layout ...............................................................................................................................................8
2.2 Openings ...................................................................................................................................................9
3 STABILITY CRITERIA ........................................................................................................................................ 10
3.1 Cargo carrying operation ....................................................................................................................... 10
3.2 Towing operations ................................................................................................................................. 11
3.3 Lifting and anchor handling operations ................................................................................................. 11
4 UNITS AND NOTATIONS ................................................................................................................................. 12
4.1 Symbols .................................................................................................................................................. 12
4.2 Unit conversion...................................................................................................................................... 12
4.3 Weight to volume .................................................................................................................................. 13
5 LOADING CONDITIONS .................................................................................................................................. 14
5.1 Loading condition for lightship .............................................................................................................. 14
5.1.1 LC 00: Lightship .............................................................................................................................. 14
5.2 Loading conditions for cargo carrying operations ................................................................................. 20
5.2.1 LC 01: Departure, 100% consumables, 16t deck cargo ................................................................. 20
5.2.2 LC 02: Arrival, 10% consumables, 16t deck cargo ......................................................................... 27
5.2.3 LC 03: Departure, 100% consumables, no deck cargo .................................................................. 34
5.2.4 LC 04: Arrival, 10% consumables, no deck cargo .......................................................................... 41
5.3 Loading conditions for towing operations............................................................................................. 48
5.3.1 LC 05: Towing force 15t, departure, 100% consumables, 16t deck cargo .................................... 48
5.3.2 LC 06: Towing force 15t, arrival, 10% consumables, 16t deck cargo ............................................ 53
5.3.3 LC 07: Towing force 15t, departure, 100% consumables, no deck cargo ...................................... 58
5.3.4 LC 08: Towing force 15t, arrival, 10% consumables, no deck cargo .............................................. 63
5.4 Loading conditions for anchor handling operations.............................................................................. 68
3
5.4.1 LC 09: Winch load on aft roller 10t, departure, 100% consumables, 8t deck cargo ..................... 69
5.4.2 LC 10: Winch load on aft roller 10t, arrival, 10% consumables, 8t deck cargo ............................. 73
5.4.3 LC 11: Winch load on aft roller 10t, departure, 100% consumables, no deck cargo .................... 77
5.4.4 LC 12: Winch load on aft roller 10t, arrival, 10% consumables, no deck cargo ............................ 81
5.5 Loading conditions for lifting operations .............................................................................................. 85
5.5.1 LC 13: Crane sideways, departure, 100% consumables, 5t deck cargo ......................................... 87
5.5.2 LC 14: Crane sideways, arrival, 10% consumables, 5t deck cargo ................................................. 92
5.5.3 LC 15: Crane sideways, departure, 100% consumables, no deck cargo ........................................ 97
5.5.4 LC 16: Crane sideways, arrival, 10% consumables, no deck cargo .............................................. 102
5.5.5 LC 17: Crane to 45deg, departure, 100% consumables, 5t deck cargo ....................................... 107
5.5.6 LC 18: Crane to 45deg, arrival, 10% consumables, 5t deck cargo ............................................... 112
5.5.7 LC 19: Crane to 45deg, departure, 100% consumables, no deck cargo ...................................... 117
5.5.8 LC 20: Crane to 45deg, arrival, 10% consumables, no deck cargo .............................................. 122
5.5.9 LC 21: Crane to aft, departure, 100% consumables, 5t deck cargo............................................. 127
5.5.10 LC 22: Crane to aft, arrival, 10% consumables, 5t deck cargo ..................................................... 132
5.5.11 LC 23: Crane to aft, departure, 100% consumables, no deck cargo ............................................ 137
5.5.12 LC 24: Crane to aft, arrival, 10% consumables, no deck cargo .................................................... 142
5.5.13 LC 25: Crane max. vertical reach, departure, 100% consumables, 5t deck cargo ....................... 147
5.5.14 LC 26: Crane max. vertical reach, arrival, 10% consumables, 5t deck cargo ............................... 152
5.5.15 LC 27: Crane max. vertical reach, departure, 100% consumables, no deck cargo ...................... 157
5.5.16 LC 28: Crane max. vertical reach, arrival, 10% consumables, no deck cargo .............................. 162
6 HYDROSTATIC DATA .................................................................................................................................... 167
6.1 Hydrostatic tables ................................................................................................................................ 167
6.1.1 Trim: aft 1.000/14.000, No heel, VCG = 0.000 ............................................................................ 167
6.1.2 Trim: aft 0.500/14.000, No heel, VCG = 0.000 ............................................................................ 169
6.1.3 No Trim, No heel, VCG = 0.000 .................................................................................................... 170
6.1.4 Trim: fwd 0.500/14.000, No heel, VCG = 0.000 .......................................................................... 171
6.1.5 Trim: fwd 1.000/14.000, No heel, VCG = 0.000 .......................................................................... 172
6.2 Cross curves of stability ....................................................................................................................... 173
6.2.1 Trim aft 1.000/14.000 at heel = 0 (RA Trim = 0) .......................................................................... 173
6.2.2 Trim aft 0.500/14.000 at heel = 0 (RA Trim = 0) .......................................................................... 175
6.2.3 Trim zero at heel = 0 (RA Trim = 0) .............................................................................................. 177
6.2.4 Trim fwd 0.500/14.000 at heel = 0 (RA Trim = 0) ........................................................................ 179
6.2.5 Trim fwd 1.000/14.000 at heel = 0 (RA Trim = 0) ........................................................................ 181
4
6.3 Hull form coefficients .......................................................................................................................... 183
7 VCG LIMITING CURVES ................................................................................................................................ 184
7.1 VCG limiting curves for intact stability ................................................................................................ 184
7.1.1 Trim = aft 1.000/14.000 at zero heel (Trim righting arm held at zero) ...................................... 184
7.1.2 Trim = aft 0.500/14.000 at zero heel (Trim righting arm held at zero) ...................................... 184
7.1.3 Trim = zero at zero heel (Trim righting arm held at zero) ........................................................... 184
7.1.4 Trim = fwd 0.500/14.000 at zero heel (Trim righting arm held at zero) ..................................... 185
7.1.5 Trim = fwd 1.000/14.000 at zero heel (Trim righting arm held at zero) ..................................... 185
7.1.6 Trim = fwd 1.250/14.000 at zero heel (Trim righting arm held at zero) ..................................... 185
7.2 VCG limiting curves for towing operations .......................................................................................... 187
7.2.1 Trim = aft 1.000/14.000 at zero heel (Trim righting arm held at zero) ....................................... 187
7.2.2 Trim = aft 0.500/14.000 at zero heel (Trim righting arm held at zero) ....................................... 187
7.2.3 Trim = zero at zero heel (Trim righting arm held at zero) ........................................................... 187
7.2.4 Trim = fwd 0.500/14.000 at zero heel (Trim righting arm held at zero) ..................................... 187
7.2.5 Trim = fwd 1.000/14.000 at zero heel (Trim righting arm held at zero) ..................................... 188
7.2.6 Trim = fwd 1.250/14.000 at zero heel (Trim righting arm held at zero) ..................................... 188
8 NOTES ON STABILITY ................................................................................................................................... 190
8.1 Stability – definition............................................................................................................................. 190
8.2 Buoyancy and center of gravity ........................................................................................................... 190
8.3 The GZ-curve ........................................................................................................................................ 192
8.4 GM (the metacentric height) ............................................................................................................... 193
8.5 Loading conditions ............................................................................................................................... 194
8.6 Relationships which have impact on the vessels stability ................................................................... 195
8.6.1 The centre of gravity of the loads................................................................................................ 195
8.6.2 Use of cranes and lifting beams .................................................................................................. 196
8.6.3 Free surface effect ....................................................................................................................... 197
8.6.4 Roll reduction tank ...................................................................................................................... 198
8.6.5 Icing.............................................................................................................................................. 199
8.6.6 Flooding ....................................................................................................................................... 199
8.6.7 Reserve of buoyancy.................................................................................................................... 200
8.6.8 Change in draught ....................................................................................................................... 201
8.6.9 Change in trim ............................................................................................................................. 202
8.6.10 Water on deck ............................................................................................................................. 203
8.6.11 Following seas .............................................................................................................................. 204
5
8.6.12 Towing ......................................................................................................................................... 205
8.6.13 Anchor handling........................................................................................................................... 206
9 SAMPLE STABILITY CONDITION ................................................................................................................... 207
9.1 Obtaining draught and trim ................................................................................................................. 207
9.2 Example for use of the maximum VCG curve ...................................................................................... 208
9.3 The effect of free surface moments .................................................................................................... 209
10 APPENDIX 1 .............................................................................................................................................. 211
10.1 Tank sounding tables ........................................................................................................................... 211
10.1.1 Tank Soundings for Tk01_FW.P containing FRESH WATER (1.000) ............................................. 211
10.1.2 Tank Soundings for Tk02_FW.S containing FRESH WATER (1.000) ............................................. 212
10.1.3 Tank Soundings for Tk03_FO.P containing FUEL OIL (0.870) ...................................................... 213
10.1.4 Tank Soundings for Tk04_FO.S containing FUEL OIL (0.870) ....................................................... 214
10.1.5 Tank Soundings for Tk05_FO.P containing FUEL OIL (0.870) ...................................................... 215
10.1.6 Tank Soundings for Tk06_FO.S containing FUEL OIL (0.870) ....................................................... 216
10.1.7 Tank Soundings for Tk07_HO.P containing HYDRO OIL (0.924) .................................................. 217
11 APPENDIX 2 .............................................................................................................................................. 218
11.1 Condition sheet for stability assessment ............................................................................................ 218
Table of figures
Figure 1 - Venus 2 - hull model .................................................................................................................................7
Figure 2 - Venus 2 - tank model ................................................................................................................................7
Figure 3 - Tank plan - profile view ............................................................................................................................8
Figure 4 - Tank plan - top view .................................................................................................................................8
Figure 5 - Towing arrangement ............................................................................................................................. 48
Figure 6 - Winching load ........................................................................................................................................ 68
Figure 7 - HS Marine AK 30 LHE2 ........................................................................................................................... 85
Figure 8 - Boom orientations considered .............................................................................................................. 86
Figure 9 - Trim calculation ................................................................................................................................... 207
Table of tables
Table 1 – Tanks totals ...............................................................................................................................................9
Table 2 - Unit conversion table.............................................................................................................................. 12
Table 3 - Total moment from crane ...................................................................................................................... 85
Table 4 - Reduced crane load for each orientation ............................................................................................... 86
6
1 INTRODUCTION
1.1 General The present document describes the stability performances of Venus 2, following the rules and regulations issued by the Norwegian Maritime Authority, Regulations of 19 December 2014 No. 1853 on the construction and supervision of small cargo ships. The vessel has been assessed against cargo carrying operations, as well as lifting, towing and anchor handling operations. The stability assessment has been developed using Autohydro Pro 6.8.0, the stability package developed by Autoship Systems Corporation.
1.2 Main vessel data Name: Venus 2 Call sign: XXXXXXX Year built: 1998 Shipyard: N/A Length overall (LOA): 14.575 m Length between perpendiculars, (LPP): 14.000 m Breadth (B): 5.820 m Depth (D): 2.400 m Design Draught (T): 1.650 m
1.3 Lightship data The lightship data, presented below, is based on the Inclining Test Report dated 11 June 2018:
Lightship weight: 54.255 t LCG: 7.955 m TCG: 0.000 m VCG: 2.372 m
1.4 Axes system origin All coordinates given in the present report are measured from aft extremity, centreline (CL), baseline (BL). The aft
perpendicular (AP) was assumed at the aft extremity. The notation a means aft of origin, f means forward of origin,
s means starboard side off the centre line, p means port side off the centre line.
7
1.5 Cargo on deck The maximum amount of deck cargo allowable in sea passages is 16t. This was assumed to be located at:
• LCG: 5.650 m (centre of deck);
• TCG: 0.000 m;
• VCG: 3.415 m.
This amount was limited by the stability requirements in Loading Condition 01.
1.6 Stability model
The hydrostatic model used for the present stability booklet is presented below:
Figure 1 - Venus 2 - hull model
Figure 2 - Venus 2 - tank model
8
2 TANK PLAN
2.1 Tank layout
The tank layout for Venus 2 is presented below, with full tank sounding tables in Appendix 1:
Figure 3 - Tank plan - profile view
Figure 4 - Tank plan - top view
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL 0.33 100.00
9
FRESH WATER Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 Subtotals: 100.00% 5.34 7.920f 0.000 1.256
FUEL OIL Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 Subtotals: 100.00% 9.74 5.612f 0.000 1.300
HYDRO OIL Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 Subtotals: 100.00% 0.33 6.930f 1.395p 0.244
No Trim, No Heel
Tank Name
Spgr
Load (%)
Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Totals:
100.00%
15.40
6.439f
0.029p
1.262
Table 1 – Tanks totals
2.2 Openings All openings are assumed to be weathertight, therefore do not limit the stability range for Venus 2.
10
3 STABILITY CRITERIA
3.1 Cargo carrying operation The stability performances of Venus 2 have been assessed against the intact stability criteria set out by the
Norwegian Maritime Authority for small cargo ships. These requirements were issued together with the
Regulations of 19 December 2014, No. 1853 for closed ships, which state that the vessel should comply with the
following stability criteria:
a) The area below the righting arm curve (GZ curve) shall be at least 0.055 metre radians calculated up to an angle of heel of 30 degrees, and at least 0.09 metre radians calculated up to 40 degrees or the angle of flooding if that angle is less than 40 degrees. In addition, the area below the GZ curve between the heeling angles of 30 and 40 degrees, or between 30 degrees and the angle of flooding if that angle is less than 40 degrees, shall be at least 0.03 metre radians.
b) The righting arm (GZ) shall be at least 0.20 metres at an angle of heel of 30 degrees or more.
c) The angle of heel at which the righting arm (GZmax) is at its maximum value shall not be less than 25 degrees.
d) The initial metacentric height (GM) shall be at least 0.15 metres.
When the ship because of its shape fails to comply with the first paragraph subparagraph c, the first paragraph
subparagraphs a and c may be replaced by the following:
a) The area below the GZ curve shall be at least 0.07 m-rad calculated to an angle of heel of 15 degrees when the maximum righting arm (GZmax) occurs at 15 degrees, and 0.055 m-rad up to 30 degrees when GZmax occurs at 30 degrees or more. When GZmax occurs between 15 and 30 degrees, the area requirement below the GZ curve up to the angle where GZmax occurs shall be determined by this formula: Minimum area = 0.055 + 0.001 (30 degrees -θmax), where θmaxis the angle where GZmax occurs. In addition, the area below the GZ curve between 30 and 40 degrees, or between 30 degrees and the angle of flooding if the latter is less than 40 degrees, shall be not less than 0.03 m-rad.
b) The angle of heel where GZmax occurs shall not be less than 15 degrees.
11
3.2 Towing operations
Ships carrying out towing operations shall be closed ships.
When a ship carrying out towing operations is exposed to a transverse force giving the ship a transverse speed
through the water of 5 knots, the first intersection between the heeling arm curve and the righting arm curve (GZ
curve) shall occur at an angle which is less than the angle of flooding.
When a ship carrying out towing operations is exposed to a transverse force equal to the ship’s bollard pull
multiplied by 0.65, the area between the righting arm curve (GZ curve) and the heeling arm curve calculated from
the first point of intersection to the angle which occurs first of 40°, the angle of GZmax and the angle of flooding,
shall be equal to or greater than 0.010 m-rad. The vertical arm of the heeling moment shall be taken from the
centre of the propeller(s) to the fastening point of the hawser.
3.3 Lifting and anchor handling operations Ships which shall use deck crane, and ships which shall carry out anchor-handling operations, shall be closed
ships.
The maximum angle of heel due to heeling moment from the crane shall be 7 degrees, or the angle resulting in
parts of the freeboard deck being located 200 mm from the waterline, if this angle is smaller. The area between
the righting arm curve (GZ curve) and the heeling arm curve calculated from the first point of intersection to the
angle which occurs first of 40° and the angle of flooding, shall be equal to or greater than 0.090 m-rad.
The maximum angle of heel may be between 7 and 10 degrees if the following conditions are satisfied when the
crane or winch is operating at maximum loading moment:
a) The righting arm curve (GZ curve) has a positive extent of at least 20 degrees beyond the state of equilibrium. Flooding shall be assumed to take place through openings which do not have weathertight closing appliances.
b) The area requirement of the second paragraph is satisfied.
c) No parts of the freeboard deck are located less than 200 mm from the waterline.
Information from the manufacturer shall be available concerning the maximum angle of heel for which the cargo-
handling appliance is intended. The maximum permitted angle of heel of the second and third paragraphs shall
not exceed the maximum angle of heel from the manufacturer.
If, when lifting by crane, counter ballasting is used in order to counterbalance heeling moment due to weight in the
crane, the consequence of loss of crane load shall be considered.
12
4 UNITS AND NOTATIONS
4.1 Symbols
Draft FP: Draft at forward perpendicular
Draft AP: Draft at aft perpendicular
Draft MS: Draft at mid ship
LCG: Longitudinal centre of gravity
VCG: Vertical centre of gravity
TCG: Transversal centre of gravity
TP cm: Ton per cm immersion
LCB: Longitudinal centre of buoyancy
VCB: Vertical centre of buoyancy
TCB: Transversal centre of buoyancy
Perm: Permeability
FSM: Free surface moment
Equil Equilibrium
4.2 Unit conversion
MULTIPLY BY TO CONVERT FROM TO OBTAIN 0.039370 mm inches 25.4
0.39370 cm inches 2.54
3.2808 m feet 0.3048
2.2046 KG lbs 0.45359
0.00098421 KG Tons (2240 lbs) 1016.0
0.98421 Tonnes (1000 KG) Tons (2240 lbs) 1.016
2.4999 Tonnes per cm Tons per inch 0.40002
8.2017 Tonnes metres units (MCTC) Ton feet units (MCTI) 0.12193
187.98 Metre Radians Foot Deg 0.0053198
TO OBTAIN TO CONVERT FROM MULTIPLY BY
Table 2 - Unit conversion table
13
4.3 Weight to volume
10 mm cubed = 1 cubic cm
1 cubic cm of fresh water (S.G.=1.0) = 1 gram
1000 cubic cm of fresh water (S.G. 1=1.0) = 1 kg (1000 grams)
1 cubic meter of fresh water (S.G. 1=1.0) = 1 tonnes (1000 kg)
1 cubic meter of salt water (S.G. 1=1.025) = 1.025 tonnes (1025 kg)
1 cubic meter of diesel oil (S.G. 1=0.870) = 0.870 tonnes (870 kg)
1 cubic meter of lubricating oil (S.G. 1=0.924) = 0.924tonnes (924 kg)
1 Tonne of salt water (S.G. 1=1.025) = 0.975 cubic meters
1 cubic metre = 35.316 cubic feet
1 cubic foot = 0.0283 cubic metres
14
5 LOADING CONDITIONS
5.1 Loading condition for lightship
5.1.1 LC 00: Lightship
Floating Status
Draft FP 0.889 m Heel 0.00 deg GM(Solid) 1.217 m
Draft MS 0.941 m Equil Yes F/S Corr. 0.000 m
Draft AP 0.994 m Wind Off GM(Fluid) 1.217 m
Trim 0.10a m Wave No KMT 3.589 m
LCG 7.955f m VCG-Solid 2.372 m TPcm 0.65
Displacement 54.3 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Displacement 54.26 7.955f 0.000 2.372
15
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
Total Weight: 54.26 7.955f 0.000 2.372
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Subtotals: 0.00% 0.00 <und> <und> <und> 0.0
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Subtotals: 0.00% 0.00 <und> <und> <und> 0.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Subtotals: 0.00% 0.00 <und> <und> <und> 0.0
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 0.00% 0.00 <und> <und> <und> 0.0
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 54.26 7.941f 0.000 0.487 1.000
SubTotals: 54.26 7.941f 0.000 0.487
Least freeboard is 1.406 m at 0.000 Least freeboard (to margin line) is 1.206 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.104/14.000, No heel, VCG = 2.372
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
0.935 54.255 7.941f 0.487 7.874f 0.65 0.40 10.230 1.217
Water Specific Gravity = 1.025. Trim is per 14.00m
16
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 0.43a 0.994 0.000 0.000 Equil
5.00p 0.29a 0.966 0.110 0.005
10.00p 0.09f 0.890 0.227 0.019
15.00p 0.50f 0.795 0.340 0.044
20.00p 0.91f 0.685 0.443 0.078
25.00p 1.30f 0.551 0.500 0.120
28.60p 1.56f 0.440 0.512 0.152 MaxRa
30.00p 1.67f 0.393 0.510 0.164
35.00p 2.11f 0.211 0.472 0.208
40.00p 2.60f 0.014 0.389 0.245
45.00p 3.12f -0.188 0.277 0.275
50.00p 3.62f -0.391 0.145 0.293
55.00p 4.11f -0.594 0.001 0.300
55.03p 4.11f -0.595 0.000 0.300 RaZero
60.00p 4.58f -0.793 -0.151 0.293
65.00p 5.00f -0.985 -0.307 0.273
70.00p 5.37f -1.169 -0.465 0.240
17
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0564 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0564 m-R 0.152 0.095 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.081 0.051 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.510 0.310 Yes
(5) Absolute Angle at MaxRA >15.00 deg 28.60 13.60 Yes
(6) GM Upright >0.150 m 1.217 1.067 Yes
18
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 0.43a 0.994 0.000 0.000 Equil
5.00s 0.29a 0.966 0.110 0.005
10.00s 0.09f 0.890 0.227 0.019
15.00s 0.50f 0.795 0.340 0.044
20.00s 0.91f 0.685 0.443 0.078
25.00s 1.30f 0.551 0.500 0.120
28.60s 1.56f 0.440 0.512 0.152 MaxRa
30.00s 1.67f 0.393 0.510 0.164
35.00s 2.11f 0.211 0.472 0.208
40.00s 2.60f 0.014 0.389 0.245
45.00s 3.12f -0.188 0.277 0.275
50.00s 3.62f -0.391 0.145 0.293
55.00s 4.11f -0.594 0.001 0.300
55.03s 4.11f -0.595 0.000 0.300 RaZero
60.00s 4.58f -0.793 -0.151 0.293
65.00s 5.00f -0.985 -0.307 0.273
70.00s 5.37f -1.169 -0.465 0.240
75.00s 5.68f -1.341 -0.621 0.192
80.00s 5.92f -1.499 -0.774 0.131
85.00s 6.08f -1.643 -0.923 0.057
90.00s 6.17f -1.771 -1.065 -0.030
19
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0564 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0564 m-R 0.152 0.095 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.081 0.051 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.510 0.310 Yes
(5) Absolute Angle at MaxRA >15.00 deg 28.60 13.60 Yes
(6) GM Upright >0.150 m 1.217 1.067 Yes
20
5.2 Loading conditions for cargo carrying operations
5.2.1 LC 01: Departure, 100% consumables, 16t deck cargo
Floating Status
Draft FP 1.105 m Heel 0.32p deg GM(Solid) 0.850 m
Draft MS 1.381 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.656 m Wind Off GM(Fluid) 0.850 m
Trim 0.55a m Wave No KMT 3.229 m
LCG 7.298f m VCG-Solid 2.379 m TPcm 0.79
Displacement 87.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 32.80 6.212f 0.014p 2.391
Displacement 87.05 7.298f 0.005p 2.379
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL 0.33 100.00
21
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 16.00 5.650f 0.000 3.415
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 71.66 7.483f 0.000 2.619
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.1
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 87.05 7.234f 0.014p 0.755 1.000
SubTotals: 87.05 7.234f 0.014p 0.755
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.731 m at 0.000 Least freeboard (to margin line) is 0.531 m at 0.000
22
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.551/14.000, heel: port 0.32 deg., VCG = 2.379
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.390 87.054 7.234f 0.755 6.779f 0.79 0.75 12.010 0.850
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.105 at 14.000f, 1.656 at 0.000 Trim: aft 0.551/14.000 Heel: port 0.32 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 84.930 m³ Displacement: 87.054 MT COEFFICIENTS Prismatic: 0.728 Block: 0.675 Midship: 0.927 Waterplane: 0.952 RATIOS Length/Beam: 2.504 Displacement/length: 884.146 Beam/Depth: 3.770 MT/ cm Immersion: 0.795 AREAS Waterplane: 77.543 m² Wetted Surface: 120.702 m² Under Water Lateral Plane: 17.054 m² Above Water Lateral Plane: 27.254 m² CENTROIDS (Meters) Buoyancy: LCB = 7.234 fwd TCB =0.014 port VCB = 0.755 Flotation: LCF = 6.779 fwd Under Water LP: 7.085 fwd of Origin, 0.652 below waterline. Above Water LP: 9.239 fwd of Origin, 1.490 above waterline. Note: Coefficients calculated based on length of 14.000 m
23
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.014
Adjusted VCG 2.393
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 2.26a 1.655 -0.005 0.000
0.31p 2.26a 1.655 0.000 0.000 Equil
2.00p 2.25a 1.654 0.025 0.000
4.00p 2.24a 1.650 0.055 0.002
6.00p 2.24a 1.645 0.086 0.004
8.00p 2.23a 1.638 0.117 0.008
10.00p 2.22a 1.627 0.149 0.012
12.00p 2.17a 1.609 0.178 0.018
14.00p 2.08a 1.583 0.204 0.025
15.00p 2.02a 1.567 0.217 0.028
16.00p 1.96a 1.550 0.229 0.032
18.00p 1.84a 1.514 0.252 0.041
20.00p 1.74a 1.479 0.271 0.050
22.00p 1.66a 1.446 0.284 0.060
24.00p 1.61a 1.417 0.292 0.070
25.00p 1.58a 1.403 0.293 0.075 MaxRa
26.00p 1.56a 1.389 0.292 0.080
28.00p 1.51a 1.363 0.283 0.090
30.00p 1.48a 1.337 0.268 0.099
32.00p 1.45a 1.311 0.245 0.108
34.00p 1.43a 1.285 0.217 0.117
36.00p 1.41a 1.257 0.184 0.124
38.00p 1.39a 1.229 0.148 0.129
40.00p 1.37a 1.200 0.108 0.134
42.00p 1.36a 1.170 0.066 0.137
44.00p 1.34a 1.139 0.022 0.138
44.95p 1.34a 1.124 0.000 0.139 RaZero
46.00p 1.33a 1.107 -0.024 0.138
48.00p 1.32a 1.074 -0.072 0.137
50.00p 1.30a 1.040 -0.120 0.133
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
24
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0600 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0600 m-R 0.075 0.015 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.034 0.004 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.268 0.068 Yes
(5) Absolute Angle at MaxRA >15.00 deg 25.00 10.00 Yes
(6) GM Upright >0.150 m 0.839 0.689 Yes
25
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.014
Adjusted VCG 2.393
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 2.26a 1.655 0.005 0.000
2.00s 2.25a 1.654 0.035 0.001
4.00s 2.24a 1.650 0.065 0.002
6.00s 2.24a 1.645 0.096 0.005
8.00s 2.23a 1.638 0.128 0.009
10.00s 2.22a 1.627 0.159 0.014
12.00s 2.17a 1.609 0.188 0.020
14.00s 2.08a 1.583 0.214 0.027
15.00s 2.02a 1.567 0.227 0.031
16.00s 1.96a 1.550 0.239 0.035
18.00s 1.84a 1.514 0.262 0.044
20.00s 1.74a 1.479 0.280 0.053
22.00s 1.66a 1.447 0.294 0.063
24.00s 1.61a 1.417 0.301 0.074
25.00s 1.58a 1.403 0.302 0.079 MaxRa
26.00s 1.56a 1.389 0.301 0.084
28.00s 1.52a 1.363 0.293 0.095
30.00s 1.48a 1.337 0.277 0.105
32.00s 1.45a 1.311 0.254 0.114
34.00s 1.43a 1.285 0.226 0.122
36.00s 1.41a 1.258 0.193 0.130
38.00s 1.39a 1.230 0.156 0.136
40.00s 1.38a 1.201 0.116 0.140
42.00s 1.36a 1.170 0.074 0.144
44.00s 1.35a 1.139 0.029 0.146
46.00s 1.33a 1.108 -0.017 0.146
48.00s 1.32a 1.075 -0.065 0.144
50.00s 1.31a 1.041 -0.114 0.141
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
26
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0600 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0600 m-R 0.079 0.019 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.036 0.006 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.277 0.077 Yes
(5) Absolute Angle at MaxRA >15.00 deg 25.00 10.00 Yes
(6) GM Upright >0.150 m 0.839 0.689 Yes
27
5.2.2 LC 02: Arrival, 10% consumables, 16t deck cargo
Floating Status
Draft FP 0.965 m Heel 0.03p deg GM(Solid) 1.004 m
Draft MS 1.207 m Equil Yes F/S Corr. 0.014 m
Draft AP 1.449 m Wind Off GM(Fluid) 0.990 m
Trim 0.48a m Wave No KMT 3.573 m
LCG 7.466f m VCG-Solid 2.569 m TPcm 0.79
Displacement 73.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 18.94 6.067f 0.002p 3.133
Displacement 73.19 7.466f 0.000 2.569
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
28
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 16.00 5.650f 0.000 3.415
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 71.66 7.483f 0.000 2.619
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.877f 2.516s 0.189 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.877f 2.517p 0.189 0.0***
Subtotals: 10.00% 0.53 7.877f 0.000 0.189 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.660f 0.974s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.660f 0.976p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.760f 2.545p 0.434 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.760f 2.545s 0.434 0.1***
Subtotals: 10.00% 0.97 6.054f 0.000 0.276 1.1
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.904f 1.396p 0.025 0.1***
Subtotals: 10.00% 0.03 6.904f 1.396p 0.025 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.704f 0.030p 0.240 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 73.19 7.400f 0.002p 0.648 1.000
SubTotals: 73.19 7.400f 0.002p 0.648
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.949 m at 0.000 Least freeboard (to margin line) is 0.749 m at 0.000
29
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.484/14.000, heel: port 0.03 deg., VCG = 2.569
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.215 73.195 7.400f 0.648 6.757f 0.79 0.73 13.948 0.990
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.965 at 14.000f, 1.449 at 0.000 Trim: aft 0.484/14.000 Heel: port 0.03 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 71.410 m³ Displacement: 73.195 MT COEFFICIENTS Prismatic: 0.702 Block: 0.651 Midship: 0.928 Waterplane: 0.945 RATIOS Length/Beam: 2.504 Displacement/length: 743.393 Beam/Depth: 4.326 MT/ cm Immersion: 0.789 AREAS Waterplane: 77.012 m² Wetted Surface: 112.916 m² Under Water Lateral Plane: 14.491 m² Above Water Lateral Plane: 29.399 m² CENTROIDS (Meters) Buoyancy: LCB = 7.400 fwd TCB =0.002 port VCB = 0.648 Flotation: LCF = 6.757 fwd Under Water LP: 7.177 fwd of Origin, 0.569 below waterline. Above Water LP: 9.043 fwd of Origin, 1.524 above waterline. Note: Coefficients calculated based on length of 14.000 m
30
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.017
Adjusted VCG 2.585
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 1.98a 1.448 -0.001 0.000 Equil
2.00p 1.98a 1.447 0.035 0.001
4.00p 1.98a 1.444 0.070 0.002
6.00p 1.95a 1.437 0.104 0.005
8.00p 1.87a 1.417 0.132 0.010
10.00p 1.75a 1.391 0.158 0.015
12.00p 1.61a 1.359 0.182 0.021
14.00p 1.44a 1.321 0.204 0.027
15.00p 1.36a 1.301 0.215 0.031
16.00p 1.27a 1.280 0.225 0.035
18.00p 1.10a 1.236 0.246 0.043
20.00p 0.93a 1.189 0.266 0.052
22.00p 0.76a 1.141 0.287 0.062
24.00p 0.60a 1.091 0.306 0.072
26.00p 0.48a 1.044 0.315 0.083
26.40p 0.46a 1.034 0.315 0.085 MaxRa
28.00p 0.37a 0.997 0.311 0.094
30.00p 0.27a 0.951 0.296 0.104
32.00p 0.18a 0.905 0.272 0.114
34.00p 0.09a 0.858 0.241 0.123
36.00p 0.00a 0.811 0.205 0.131
38.00p 0.08f 0.764 0.163 0.138
40.00p 0.16f 0.716 0.118 0.142
42.00p 0.23f 0.668 0.070 0.146
44.00p 0.31f 0.619 0.019 0.147
44.72p 0.33f 0.602 0.000 0.147 RaZero
46.00p 0.38f 0.570 -0.034 0.147
48.00p 0.45f 0.521 -0.089 0.145
50.00p 0.51f 0.471 -0.145 0.141
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
31
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0586 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0586 m-R 0.085 0.026 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.038 0.008 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.296 0.096 Yes
(5) Absolute Angle at MaxRA >15.00 deg 26.40 11.40 Yes
(6) GM Upright >0.150 m 0.989 0.839 Yes
32
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.017
Adjusted VCG 2.585
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 1.98a 1.448 0.001 0.000 Equil
2.00s 1.98a 1.447 0.036 0.001
4.00s 1.98a 1.444 0.071 0.003
6.00s 1.95a 1.437 0.105 0.006
8.00s 1.87a 1.417 0.133 0.010
10.00s 1.75a 1.391 0.159 0.015
12.00s 1.61a 1.359 0.183 0.021
14.00s 1.44a 1.321 0.205 0.028
15.00s 1.36a 1.301 0.216 0.031
16.00s 1.27a 1.280 0.227 0.035
18.00s 1.10a 1.236 0.247 0.043
20.00s 0.93a 1.189 0.268 0.052
22.00s 0.76a 1.141 0.288 0.062
24.00s 0.60a 1.091 0.307 0.072
26.00s 0.48a 1.044 0.316 0.083
26.40s 0.46a 1.034 0.317 0.086 MaxRa
28.00s 0.37a 0.997 0.312 0.094
30.00s 0.27a 0.951 0.297 0.105
32.00s 0.18a 0.905 0.273 0.115
34.00s 0.09a 0.858 0.242 0.124
36.00s 0.00a 0.811 0.206 0.132
38.00s 0.08f 0.764 0.164 0.138
40.00s 0.16f 0.716 0.119 0.143
42.00s 0.23f 0.668 0.071 0.147
44.00s 0.31f 0.619 0.020 0.148
44.75s 0.33f 0.601 0.000 0.148 RaZero
46.00s 0.38f 0.570 -0.033 0.148
48.00s 0.45f 0.521 -0.088 0.146
50.00s 0.51f 0.471 -0.144 0.142
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
33
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0586 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0586 m-R 0.086 0.027 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.038 0.008 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.297 0.097 Yes
(5) Absolute Angle at MaxRA >15.00 deg 26.40 11.40 Yes
(6) GM Upright >0.150 m 0.989 0.839 Yes
34
5.2.3 LC 03: Departure, 100% consumables, no deck cargo
Floating Status
Draft FP 1.034 m Heel 0.25p deg GM(Solid) 1.497 m
Draft MS 1.183 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.332 m Wind Off GM(Fluid) 1.497 m
Trim 0.30a m Wave No KMT 3.642 m
LCG 7.669f m VCG-Solid 2.146 m TPcm 0.79
Displacement 71.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 16.80 6.747f 0.027p 1.415
Displacement 71.05 7.669f 0.006p 2.146
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
35
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 55.66 8.010f 0.000 2.390
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.0***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 71.05 7.637f 0.013p 0.626 1.000
SubTotals: 71.05 7.637f 0.013p 0.626
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 1.059 m at 0.000 Least freeboard (to margin line) is 0.859 m at 0.000
36
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.297/14.000, heel: port 0.25 deg., VCG = 2.146
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.188 71.053 7.637f 0.626 6.777f 0.79 0.76 14.877 1.497
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.034 at 14.000f, 1.332 at 0.000 Trim: aft 0.297/14.000 Heel: port 0.25 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 69.320 m³ Displacement: 71.053 MT COEFFICIENTS Prismatic: 0.711 Block: 0.668 Midship: 0.940 Waterplane: 0.946 RATIOS Length/Beam: 2.504 Displacement/length: 721.643 Beam/Depth: 4.575 MT/ cm Immersion: 0.790 AREAS Waterplane: 77.062 m² Wetted Surface: 108.433 m² Under Water Lateral Plane: 14.266 m² Above Water Lateral Plane: 29.937 m² CENTROIDS (Meters) Buoyancy: LCB = 7.637 fwd TCB =0.013 port VCB = 0.626 Flotation: LCF = 6.777 fwd Under Water LP: 7.404 fwd of Origin, 0.565 below waterline. Above Water LP: 8.952 fwd of Origin, 1.505 above waterline. Note: Coefficients calculated based on length of 14.000 m
37
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.016
Adjusted VCG 2.162
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 1.22a 1.332 -0.006 0.000
0.24p 1.22a 1.332 0.000 0.000 Equil
5.00p 1.12a 1.312 0.116 0.005
10.00p 0.79a 1.243 0.216 0.019
15.00p 0.36a 1.146 0.310 0.042
20.00p 0.05f 1.035 0.401 0.073
25.00p 0.46f 0.910 0.486 0.112
29.00p 0.78f 0.799 0.510 0.147 MaxRa
30.00p 0.85f 0.772 0.509 0.156
35.00p 1.22f 0.633 0.471 0.199
40.00p 1.56f 0.492 0.396 0.237
45.00p 1.89f 0.348 0.298 0.268
50.00p 2.21f 0.200 0.185 0.289
55.00p 2.52f 0.050 0.062 0.300
57.40p 2.66f -0.022 0.000 0.301 RaZero
60.00p 2.81f -0.101 -0.068 0.300
65.00p 3.07f -0.250 -0.202 0.288
70.00p 3.30f -0.397 -0.336 0.264
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
38
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0560 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0560 m-R 0.147 0.091 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.081 0.051 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.509 0.309 Yes
(5) Absolute Angle at MaxRA >15.00 deg 29.00 14.00 Yes
(6) GM Upright >0.150 m 1.481 1.331 Yes
39
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.016
Adjusted VCG 2.162
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 1.22a 1.332 0.006 0.000
5.00s 1.12a 1.312 0.128 0.006
10.00s 0.79a 1.243 0.228 0.022
15.00s 0.36a 1.146 0.322 0.046
20.00s 0.05f 1.035 0.413 0.078
25.00s 0.46f 0.910 0.498 0.118
29.00s 0.78f 0.799 0.521 0.153 MaxRa
30.00s 0.85f 0.772 0.520 0.162
35.00s 1.22f 0.633 0.481 0.207
40.00s 1.56f 0.492 0.406 0.245
45.00s 1.89f 0.347 0.307 0.277
50.00s 2.21f 0.200 0.193 0.299
55.00s 2.52f 0.049 0.069 0.310
60.00s 2.81f -0.102 -0.062 0.311
65.00s 3.07f -0.251 -0.196 0.299
70.00s 3.31f -0.398 -0.332 0.276
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
40
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0560 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0560 m-R 0.153 0.097 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.083 0.053 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.520 0.320 Yes
(5) Absolute Angle at MaxRA >15.00 deg 29.00 14.00 Yes
(6) GM Upright >0.150 m 1.481 1.331 Yes
41
5.2.4 LC 04: Arrival, 10% consumables, no deck cargo
Floating Status
Draft FP 0.949 m Heel 0.04p deg GM(Solid) 1.201 m
Draft MS 0.984 m Equil Yes F/S Corr. 0.018 m
Draft AP 1.019 m Wind Off GM(Fluid) 1.183 m
Trim 0.07a m Wave No KMT 3.533 m
LCG 7.975f m VCG-Solid 2.332 m TPcm 0.66
Displacement 57.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 2.94 8.346f 0.017p 1.598
Displacement 57.19 7.975f 0.000 2.332
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
42
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 55.66 8.010f 0.000 2.390
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.914f 2.516s 0.188 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.914f 2.516p 0.188 0.0***
Subtotals: 10.00% 0.53 7.914f 0.000 0.188 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.671f 0.974s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.671f 0.976p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.774f 2.550p 0.434 0.2***
Tk06_FO.S 0.870 10.00% 0.27 4.774f 2.540s 0.434 0.2***
Subtotals: 10.00% 0.97 6.067f 0.003p 0.276 1.3
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.926f 1.396p 0.024 0.1***
Subtotals: 10.00% 0.03 6.926f 1.396p 0.024 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.725f 0.032p 0.240 1.4
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 57.19 7.966f 0.002p 0.511 1.000
SubTotals: 57.19 7.966f 0.002p 0.511
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 1.379 m at 0.000 Least freeboard (to margin line) is 1.179 m at 0.000
43
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.070/14.000, heel: port 0.04 deg., VCG = 2.332
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
0.980 57.195 7.966f 0.511 7.820f 0.66 0.42 10.173 1.183
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.949 at 14.000f, 1.019 at 0.000 Trim: aft 0.070/14.000 Heel: port 0.04 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 55.800 m³ Displacement: 57.195 MT COEFFICIENTS Prismatic: 0.707 Block: 0.681 Midship: 0.963 Waterplane: 0.789 RATIOS Length/Beam: 2.504 Displacement/length: 580.891 Beam/Depth: 5.792 MT/ cm Immersion: 0.659 AREAS Waterplane: 64.308 m² Wetted Surface: 85.877 m² Under Water Lateral Plane: 11.613 m² Above Water Lateral Plane: 32.286 m² CENTROIDS (Meters) Buoyancy: LCB = 7.966 fwd TCB =0.002 port VCB = 0.511 Flotation: LCF = 7.820 fwd Under Water LP: 7.702 fwd of Origin, 0.476 below waterline. Above Water LP: 8.774 fwd of Origin, 1.547 above waterline. Note: Coefficients calculated based on length of 14.000 m
44
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.025
Adjusted VCG 2.357
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 0.29a 1.019 -0.001 0.000
0.04p 0.29a 1.019 0.000 0.000 Equil
5.00p 0.13a 0.989 0.103 0.004
10.00p 0.26f 0.910 0.212 0.018
15.00p 0.68f 0.814 0.319 0.041
20.00p 1.09f 0.704 0.419 0.074
25.00p 1.49f 0.571 0.482 0.113
28.60p 1.77f 0.461 0.496 0.144 MaxRa
30.00p 1.88f 0.414 0.494 0.156
35.00p 2.37f 0.231 0.455 0.198
40.00p 2.90f 0.037 0.372 0.234
45.00p 3.43f -0.162 0.261 0.262
50.00p 3.96f -0.363 0.130 0.279
54.61p 4.42f -0.548 0.000 0.285 RaZero
55.00p 4.46f -0.563 -0.011 0.285
60.00p 4.94f -0.759 -0.161 0.277
65.00p 5.37f -0.950 -0.313 0.257
70.00p 5.75f -1.130 -0.467 0.222
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.4 MT-m was used to adjust the VCG.
45
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0564 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0564 m-R 0.144 0.088 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.078 0.048 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.494 0.294 Yes
(5) Absolute Angle at MaxRA >15.00 deg 28.60 13.60 Yes
(6) GM Upright >0.150 m 1.176 1.026 Yes
46
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.025
Adjusted VCG 2.357
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height (m)
Notes
0.00 0.29a 1.019 0.001 0.000
5.00s 0.13a 0.989 0.105 0.005
10.00s 0.26f 0.910 0.214 0.018
15.00s 0.68f 0.814 0.321 0.042
20.00s 1.09f 0.704 0.420 0.074
25.00s 1.49f 0.571 0.483 0.114
28.60s 1.77f 0.461 0.498 0.145 MaxRa
30.00s 1.89f 0.414 0.496 0.157
35.00s 2.37f 0.231 0.456 0.199
40.00s 2.90f 0.037 0.373 0.235
45.00s 3.43f -0.163 0.262 0.263
50.00s 3.96f -0.363 0.132 0.281
55.00s 4.46f -0.563 -0.010 0.286
60.00s 4.94f -0.759 -0.160 0.279
65.00s 5.37f -0.950 -0.313 0.258
70.00s 5.75f -1.130 -0.467 0.224
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.4 MT-m was used to adjust the VCG.
47
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0564 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0564 m-R 0.145 0.088 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.078 0.048 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.496 0.296 Yes
(5) Absolute Angle at MaxRA >15.00 deg 28.60 13.60 Yes
(6) GM Upright >0.150 m 1.176 1.026 Yes
48
5.3 Loading conditions for towing operations
Figure 5 - Towing arrangement
5.3.1 LC 05: Towing force 15t, departure, 100% consumables, 16t deck cargo
• Heeling moment for the towing vessel subject to a transverse speed of 5kts:
• Heeling moment for the towing vessel subject to a transverse force of 65% of the maximum bollard pull:
The analysis was conducted for most severe conditions.
Heel [deg] 0 9.6 15 20 25 30 35 40 45 50
Arm [m] 0.019 0.019 0.021 0.022 0.025 0.027 0.029 0.033 0.035 0.036
Heeling moment [tm] 1.7 1.7 1.8 1.9 2.2 2.4 2.5 2.9 3.0 3.1
Heel [deg] 0 5 10 15 20 25 30 35 40 45 50
Arm [m] 0.144 0.144 0.142 0.139 0.136 0.130 0.125 0.118 0.110 0.104 0.098
Heeling moment [tm] 12.5 12.5 12.4 12.1 11.8 11.4 10.9 10.2 9.6 9.6 9.5
49
Floating Status
Draft FP 1.105 m Heel 0.32p deg GM(Solid) 0.850 m
Draft MS 1.381 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.656 m Wind Off GM(Fluid) 0.850 m
Trim 0.55a m Wave No KMT 3.229 m
LCG 7.298f m VCG-Solid 2.379 m TPcm 0.79
Displacement 87.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 32.80 6.212f 0.014p 2.391
Displacement 87.05 7.298f 0.005p 2.379
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
50
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 16.00 5.650f 0.000 3.415
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 71.66 7.483f 0.000 2.619
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.1
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 87.05 7.234f 0.014p 0.755 1.000
SubTotals: 87.05 7.234f 0.014p 0.755
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.731 m at 0.000 Least freeboard (to margin line) is 0.531 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.551/14.000, heel: port 0.32 deg., VCG = 2.379
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.390 87.054 7.234f 0.755 6.779f 0.79 0.75 12.010 0.850
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.105 at 14.000f, 1.656 at 0.000 Trim: aft 0.551/14.000 Heel: port 0.32 deg.
51
DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 84.930 m³ Displacement: 87.054 MT COEFFICIENTS Prismatic: 0.728 Block: 0.675 Midship: 0.927 Waterplane: 0.952 RATIOS Length/Beam: 2.504 Displacement/length: 884.146 Beam/Depth: 3.770 MT/ cm Immersion: 0.795 AREAS Waterplane: 77.543 m² Wetted Surface: 120.702 m² Under Water Lateral Plane: 17.054 m² Above Water Lateral Plane: 27.254 m² CENTROIDS (Meters) Buoyancy: LCB = 7.234 fwd TCB =0.014 port VCB = 0.755 Flotation: LCF = 6.779 fwd Under Water LP: 7.085 fwd of Origin, 0.652 below waterline. Above Water LP: 9.239 fwd of Origin, 1.490 above waterline. Note: Coefficients calculated based on length of 14.000 m Norwegian Maritime Authority // No. 1853 // 19-Dec-2014 Towing vessel subjected to a transverse force of 65% of the maximum bollard pull Maximum towing force 15 t No wind heeling moment is defined.
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Heel Angle (deg)
Trim Angle (deg)
Origin Depth
(m)
Righting Arm (m)
Heeling Arm (m)
Residual Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.98a 1.428 0.000 0.154 -0.154 0.000 0.770
5.00p 1.96a 1.421 0.089 0.149 -0.060 -0.009 0.535
9.08p 1.77a 1.379 0.145 0.145 0.000 -0.011 0.352 Equil
10.00p 1.71a 1.365 0.157 0.145 0.012 -0.011 0.313
15.00p 1.30a 1.273 0.212 0.140 0.072 -0.007 0.110
17.75p 1.06a 1.213 0.241 0.138 0.103 -0.003 0.000 Deck Imm.
20.00p 0.87a 1.161 0.263 0.136 0.128 0.001 -0.089
25.00p 0.47a 1.036 0.308 0.131 0.177 0.015 -0.284
26.60p 0.37a 0.997 0.311 0.130 0.182 0.020 -0.349 MaxRa
30.00p 0.19a 0.915 0.292 0.127 0.165 0.030 -0.489
35.00p 0.05f 0.794 0.218 0.122 0.096 0.042 -0.708
39.71p 0.25f 0.678 0.118 0.118 0.000 0.046 -0.943 RaZero
40.00p 0.26f 0.671 0.111 0.118 -0.007 0.046 -0.958
45.00p 0.46f 0.545 -0.017 0.113 -0.130 0.040 -1.201
50.00p 0.65f 0.417 -0.158 0.109 -0.266 0.023 -1.437
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. Note: Residual Righting Arms shown above are in excess of the heel moments from tabular input.
52
Limit Min/Max Actual Margin Pass
(1) Area from Equilibrium to Abs 40.00 deg >0.0100 m-R 0.057 0.047 Yes
(2) Area from Equilibrium to MaxRA >0.0100 m-R 0.031 0.021 Yes
(3) Area from Equilibrium to RAzero >0.0100 m-R 0.057 0.047 Yes
(4) Angle at Equilibrium to Deck Immersion =0.00 deg 8.67 8.67 Yes
53
5.3.2 LC 06: Towing force 15t, arrival, 10% consumables, 16t deck cargo
• Heeling moment for the towing vessel subject to a transverse speed of 5kts:
• Heeling moment for the towing vessel subject to a transverse force of 65% of the maximum bollard pull:
The analysis was conducted for most severe conditions.
Heel [deg] 0 9.6 15 20 25 30 35 40 45 50
Arm [m] 0.021 0.021 0.024 0.025 0.028 0.030 0.033 0.037 0.039 0.041
Heeling moment [tm] 1.564 1.564 1.729 1.811 2.058 2.223 2.388 2.717 2.882 2.964
Heel [deg] 0 5 10 15 20 25 30 35 40 45 50
Arm [m] 0.158 0.156 0.153 0.149 0.146 0.143 0.139 0.135 0.131 0.128 0.124
Heeling moment [tm] 12.535 12.535 12.385 12.103 11.821 11.357 10.893 10.248 9.602 9.602 9.487
54
Floating Status
Draft FP 0.965 m Heel 0.03p deg GM(Solid) 1.004 m
Draft MS 1.207 m Equil Yes F/S Corr. 0.014 m
Draft AP 1.449 m Wind Off GM(Fluid) 0.990 m
Trim 0.48a m Wave No KMT 3.573 m
LCG 7.466f m VCG-Solid 2.569 m TPcm 0.79
Displacement 73.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 18.94 6.067f 0.002p 3.133
Displacement 73.19 7.466f 0.000 2.569
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
55
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 16.00 5.650f 0.000 3.415
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 71.66 7.483f 0.000 2.619
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.877f 2.516s 0.189 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.877f 2.517p 0.189 0.0***
Subtotals: 10.00% 0.53 7.877f 0.000 0.189 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.660f 0.974s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.660f 0.976p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.760f 2.545p 0.434 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.760f 2.545s 0.434 0.1***
Subtotals: 10.00% 0.97 6.054f 0.000 0.276 1.1
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.904f 1.396p 0.025 0.1***
Subtotals: 10.00% 0.03 6.904f 1.396p 0.025 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.704f 0.030p 0.240 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 73.19 7.400f 0.002p 0.648 1.000
SubTotals: 73.19 7.400f 0.002p 0.648
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.949 m at 0.000 Least freeboard (to margin line) is 0.749 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.484/14.000, heel: port 0.03 deg., VCG = 2.569
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.215 73.195 7.400f 0.648 6.757f 0.79 0.73 13.948 0.990
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.965 at 14.000f, 1.449 at 0.000 Trim: aft 0.484/14.000 Heel: port 0.03 deg.
56
DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 71.410 m³ Displacement: 73.195 MT COEFFICIENTS Prismatic: 0.702 Block: 0.651 Midship: 0.928 Waterplane: 0.945 RATIOS Length/Beam: 2.504 Displacement/length: 743.393 Beam/Depth: 4.326 MT/ cm Immersion: 0.789 AREAS Waterplane: 77.012 m² Wetted Surface: 112.916 m² Under Water Lateral Plane: 14.491 m² Above Water Lateral Plane: 29.399 m² CENTROIDS (Meters) Buoyancy: LCB = 7.400 fwd TCB =0.002 port VCB = 0.648 Flotation: LCF = 6.757 fwd Under Water LP: 7.177 fwd of Origin, 0.569 below waterline. Above Water LP: 9.043 fwd of Origin, 1.524 above waterline. Note: Coefficients calculated based on length of 14.000 m Norwegian Maritime Authority // No. 1853 // 19-Dec-2014 Towing vessel subjected to a transverse force of 65% of the maximum bollard pull Maximum towing force 15 t No wind heeling moment is defined.
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Heel Angle (deg)
Trim Angle (deg)
Origin Depth
(m)
Righting Arm (m)
Heeling Arm (m)
Residual Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.98a 1.428 0.000 0.154 -0.154 0.000 0.770
5.00p 1.96a 1.421 0.089 0.149 -0.060 -0.009 0.535
9.08p 1.77a 1.379 0.145 0.145 0.000 -0.011 0.352 Equil
10.00p 1.71a 1.365 0.157 0.145 0.012 -0.011 0.313
15.00p 1.30a 1.273 0.212 0.140 0.072 -0.007 0.110
17.75p 1.06a 1.213 0.241 0.138 0.103 -0.003 0.000 Deck Imm.
20.00p 0.87a 1.161 0.263 0.136 0.128 0.001 -0.089
25.00p 0.47a 1.036 0.308 0.131 0.177 0.015 -0.284
26.60p 0.37a 0.997 0.311 0.130 0.182 0.020 -0.349 MaxRa
30.00p 0.19a 0.915 0.292 0.127 0.165 0.030 -0.489
35.00p 0.05f 0.794 0.218 0.122 0.096 0.042 -0.708
39.71p 0.25f 0.678 0.118 0.118 0.000 0.046 -0.943 RaZero
40.00p 0.26f 0.671 0.111 0.118 -0.007 0.046 -0.958
45.00p 0.46f 0.545 -0.017 0.113 -0.130 0.040 -1.201
50.00p 0.65f 0.417 -0.158 0.109 -0.266 0.023 -1.437
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. Note: Residual Righting Arms shown above are in excess of the heel moments from tabular input.
57
Limit Min/Max Actual Margin Pass
(1) Area from Equilibrium to Abs 40.00 deg >0.0100 m-R 0.057 0.047 Yes
(2) Area from Equilibrium to MaxRA >0.0100 m-R 0.031 0.021 Yes
(3) Area from Equilibrium to RAzero >0.0100 m-R 0.057 0.047 Yes
(4) Angle at Equilibrium to Deck Immersion =0.00 deg 8.67 8.67 Yes
58
5.3.3 LC 07: Towing force 15t, departure, 100% consumables, no deck cargo
• Heeling moment for the towing vessel subject to a transverse speed of 5kts:
• Heeling moment for the towing vessel subject to a transverse force of 65% of the maximum bollard pull:
The analysis was conducted for most severe conditions.
Heel [deg] 0 9.6 15 20 25 30 35 40 45 50
Arm [m] 0.026 0.026 0.028 0.030 0.034 0.036 0.039 0.045 0.047 0.049
Heeling moment [tm] 1.822 1.822 2.075 2.174 2.470 2.668 2.865 3.261 3.458 3.557
Heel [deg] 0 5 10 15 20 25 30 35 40 45 50
Arm [m] 0.195 0.187 0.178 0.171 0.164 0.155 0.146 0.144 0.142 0.140 0.138
Heeling moment [tm] 12.535 12.535 12.385 12.103 11.821 11.357 10.893 10.248 9.602 9.602 9.487
59
Floating Status
Draft FP 1.034 m Heel 0.25p deg GM(Solid) 1.497 m
Draft MS 1.183 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.332 m Wind Off GM(Fluid) 1.497 m
Trim 0.30a m Wave No KMT 3.642 m
LCG 7.669f m VCG-Solid 2.146 m TPcm 0.79
Displacement 71.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 16.80 6.747f 0.027p 1.415
Displacement 71.05 7.669f 0.006p 2.146
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
60
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 55.66 8.010f 0.000 2.390
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.0***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 71.05 7.637f 0.013p 0.626 1.000
SubTotals: 71.05 7.637f 0.013p 0.626
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 1.059 m at 0.000 Least freeboard (to margin line) is 0.859 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.297/14.000, heel: port 0.25 deg., VCG = 2.146
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.188 71.053 7.637f 0.626 6.777f 0.79 0.76 14.877 1.497
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.034 at 14.000f, 1.332 at 0.000 Trim: aft 0.297/14.000 Heel: port 0.25 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m
61
Volume: 69.320 m³ Displacement: 71.053 MT COEFFICIENTS Prismatic: 0.711 Block: 0.668 Midship: 0.940 Waterplane: 0.946 RATIOS Length/Beam: 2.504 Displacement/length: 721.643 Beam/Depth: 4.575 MT/ cm Immersion: 0.790 AREAS Waterplane: 77.062 m² Wetted Surface: 108.433 m² Under Water Lateral Plane: 14.266 m² Above Water Lateral Plane: 29.937 m² CENTROIDS (Meters) Buoyancy: LCB = 7.637 fwd TCB =0.013 port VCB = 0.626 Flotation: LCF = 6.777 fwd Under Water LP: 7.404 fwd of Origin, 0.565 below waterline. Above Water LP: 8.952 fwd of Origin, 1.505 above waterline. Note: Coefficients calculated based on length of 14.000 m Norwegian Maritime Authority // No. 1853 // 19-Dec-2014 Towing vessel subjected to a transverse force of 65% of the maximum bollard pull Maximum towing force 15 t No wind heeling moment is defined.
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Heel Angle (deg)
Trim Angle (deg)
Origin Depth
(m)
Righting Arm (m)
Heeling Arm (m)
Residual Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 0.11a 0.971 0.000 0.198 -0.198 0.000 1.229
5.00p 0.02f 0.945 0.102 0.192 -0.090 -0.013 0.988
8.89p 0.29f 0.890 0.188 0.187 0.000 -0.016 0.771 Equil
10.00p 0.39f 0.871 0.212 0.186 0.026 -0.015 0.708
15.00p 0.80f 0.776 0.320 0.180 0.140 -0.008 0.424
20.00p 1.20f 0.667 0.420 0.175 0.245 0.009 0.145
22.69p 1.42f 0.598 0.458 0.171 0.286 0.021 0.000 Deck Imm.
25.00p 1.60f 0.533 0.478 0.169 0.309 0.033 -0.119
28.80p 1.88f 0.416 0.489 0.164 0.325 0.054 -0.305 MaxRa
30.00p 1.98f 0.375 0.486 0.163 0.323 0.061 -0.363
35.00p 2.46f 0.190 0.445 0.157 0.288 0.088 -0.605
40.00p 3.01f -0.009 0.361 0.151 0.209 0.110 -0.848
45.00p 3.56f -0.214 0.247 0.146 0.101 0.124 -1.088
49.04p 4.00f -0.380 0.141 0.141 0.000 0.127 -1.277 RaZero
50.00p 4.10f -0.420 0.114 0.140 -0.025 0.127 -1.322
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. Note: Residual Righting Arms shown above are in excess of the heel moments from tabular input.
62
Limit Min/Max Actual Margin Pass
(1) Area from Equilibrium to Abs 40.00 deg >0.0100 m-R 0.126 0.116 Yes
(2) Area from Equilibrium to MaxRA >0.0100 m-R 0.070 0.060 Yes
(3) Area from Equilibrium to RAzero >0.0100 m-R 0.143 0.133 Yes
(4) Angle at Equilibrium to Deck Immersion =0.00 deg 13.80 13.80 Yes
63
5.3.4 LC 08: Towing force 15t, arrival, 10% consumables, no deck cargo
• Heeling moment for the towing vessel subject to a transverse speed of 5kts:
• Heeling moment for the towing vessel subject to a transverse force of 65% of the maximum bollard pull:
The analysis was conducted for most severe conditions.
Heel [deg] 0 9.6 15 20 25 30 35 40 45 50
Arm [m] 0.035 0.035 0.038 0.040 0.046 0.049 0.053 0.060 0.064 0.066
Heeling moment [tm] 1.980 1.980 2.801 2.935 3.335 3.601 3.868 4.402 4.669 4.802
Heel [deg] 0 5 10 15 20 25 30 35 40 45 50
Arm [m] 0.201 0.193 0.184 0.177 0.169 0.164 0.158 0.154 0.150 0.147 0.143
Heeling moment [tm] 12.535 12.535 12.385 12.103 11.821 11.357 10.893 10.248 9.602 9.602 9.487
64
Floating Status
Draft FP 0.949 m Heel 0.04p deg GM(Solid) 1.201 m
Draft MS 0.984 m Equil Yes F/S Corr. 0.018 m
Draft AP 1.019 m Wind Off GM(Fluid) 1.183 m
Trim 0.07a m Wave No KMT 3.533 m
LCG 7.975f m VCG-Solid 2.332 m TPcm 0.66
Displacement 57.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 2.94 8.346f 0.017p 1.598
Displacement 57.19 7.975f 0.000 2.332
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
65
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 55.66 8.010f 0.000 2.390
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.914f 2.516s 0.188 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.914f 2.516p 0.188 0.0***
Subtotals: 10.00% 0.53 7.914f 0.000 0.188 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.671f 0.974s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.671f 0.976p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.774f 2.550p 0.434 0.2***
Tk06_FO.S 0.870 10.00% 0.27 4.774f 2.540s 0.434 0.2***
Subtotals: 10.00% 0.97 6.067f 0.003p 0.276 1.3
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.926f 1.396p 0.024 0.1***
Subtotals: 10.00% 0.03 6.926f 1.396p 0.024 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.725f 0.032p 0.240 1.4
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 57.19 7.966f 0.002p 0.511 1.000
SubTotals: 57.19 7.966f 0.002p 0.511
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 1.379 m at 0.000 Least freeboard (to margin line) is 1.179 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.070/14.000, heel: port 0.04 deg., VCG = 2.332
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
0.980 57.195 7.966f 0.511 7.820f 0.66 0.42 10.173 1.183
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.949 at 14.000f, 1.019 at 0.000 Trim: aft 0.070/14.000 Heel: port 0.04 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m
66
Volume: 55.800 m³ Displacement: 57.195 MT COEFFICIENTS Prismatic: 0.707 Block: 0.681 Midship: 0.963 Waterplane: 0.789 RATIOS Length/Beam: 2.504 Displacement/length: 580.891 Beam/Depth: 5.792 MT/ cm Immersion: 0.659 AREAS Waterplane: 64.308 m² Wetted Surface: 85.877 m² Under Water Lateral Plane: 11.613 m² Above Water Lateral Plane: 32.286 m² CENTROIDS (Meters) Buoyancy: LCB = 7.966 fwd TCB =0.002 port VCB = 0.511 Flotation: LCF = 7.820 fwd Under Water LP: 7.702 fwd of Origin, 0.476 below waterline. Above Water LP: 8.774 fwd of Origin, 1.547 above waterline. Note: Coefficients calculated based on length of 14.000 m Norwegian Maritime Authority // No. 1853 // 19-Dec-2014 Towing vessel subjected to a transverse force of 65% of the maximum bollard pull Maximum towing force 15 t No wind heeling moment is defined.
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Heel Angle (deg)
Trim Angle (deg)
Origin Depth
(m)
Righting Arm (m)
Heeling Arm (m)
Residual Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 0.11a 0.971 0.000 0.198 -0.198 0.000 1.229
5.00p 0.02f 0.945 0.102 0.192 -0.090 -0.013 0.988
8.89p 0.29f 0.890 0.188 0.187 0.000 -0.016 0.771 Equil
10.00p 0.39f 0.871 0.212 0.186 0.026 -0.015 0.708
15.00p 0.80f 0.776 0.320 0.180 0.140 -0.008 0.424
20.00p 1.20f 0.667 0.420 0.175 0.245 0.009 0.145
22.69p 1.42f 0.598 0.458 0.171 0.286 0.021 0.000 Deck Imm.
25.00p 1.60f 0.533 0.478 0.169 0.309 0.033 -0.119
28.80p 1.88f 0.416 0.489 0.164 0.325 0.054 -0.305 MaxRa
30.00p 1.98f 0.375 0.486 0.163 0.323 0.061 -0.363
35.00p 2.46f 0.190 0.445 0.157 0.288 0.088 -0.605
40.00p 3.01f -0.009 0.361 0.151 0.209 0.110 -0.848
45.00p 3.56f -0.214 0.247 0.146 0.101 0.124 -1.088
49.04p 4.00f -0.380 0.141 0.141 0.000 0.127 -1.277 RaZero
50.00p 4.10f -0.420 0.114 0.140 -0.025 0.127 -1.322
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. Note: Residual Righting Arms shown above are in excess of the heel moments from tabular input.
67
Limit Min/Max Actual Margin Pass
(1) Area from Equilibrium to Abs 40.00 deg >0.0100 m-R 0.126 0.116 Yes
(2) Area from Equilibrium to MaxRA >0.0100 m-R 0.070 0.060 Yes
(3) Area from Equilibrium to RAzero >0.0100 m-R 0.143 0.133 Yes
(4) Angle at Equilibrium to Deck Immersion =0.00 deg 13.80 13.80 Yes
68
5.4 Loading conditions for anchor handling operations
Winching load on aft roller – 10t
Cargo on deck reduced to 8.0t to ensure positive stability and a minimum freeboard of 200mm all around the
vessel as requested by the regulations.
Figure 6 - Winching load
69
5.4.1 LC 09: Winch load on aft roller 10t, departure, 100% consumables, 8t deck cargo
Floating Status
Draft FP 0.724 m Heel 0.10p deg GM(Solid) 0.928 m
Draft MS 1.390 m Equil Yes F/S Corr. 0.000 m
Draft AP 2.057 m Wind Off GM(Fluid) 0.928 m
Trim 1.33a m Wave No KMT 3.212 m
LCG 6.627f m VCG-Solid 2.288 m TPcm 0.79
Displacement 89.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 34.80 4.556f 0.013p 2.158
Displacement 89.05 6.627f 0.005p 2.288
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
70
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 8.00 5.650f 0.000 3.415
LOAD ON AFT ROLLER 10.00 0.000 0.000 2.400
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 73.66 6.666f 0.000 2.503
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.0***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.2***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.1
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 89.05 6.486f 0.008p 0.815 1.000
SubTotals: 89.05 6.486f 0.008p 0.815
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.338 m at 0.000 Least freeboard (to margin line) is 0.138 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 1.333/14.000, heel: port 0.10 deg., VCG = 2.288
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.421 89.054 6.486f 0.815 6.679f 0.79 0.73 11.531 0.928
Water Specific Gravity = 1.025. Trim is per 14.00m
71
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.014
Adjusted VCG 2.302
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height
(m)
Freeboard (m)
Notes
0.00 5.44a 2.048 -0.005 0.000 0.141
0.09p 5.44a 2.048 0.000 0.000 0.138 Equil
2.00p 5.44a 2.047 0.031 0.001 0.063
3.37p 5.44a 2.044 0.054 0.002 0.000 Deck Imm.
4.00p 5.43a 2.043 0.065 0.002 -0.029
6.00p 5.42a 2.037 0.099 0.005 -0.124
8.00p 5.41a 2.029 0.134 0.009 -0.222
10.00p 5.41a 2.020 0.169 0.014 -0.323
12.00p 5.43a 2.015 0.202 0.021 -0.431
14.00p 5.50a 2.012 0.233 0.028 -0.544
15.00p 5.54a 2.013 0.247 0.033 -0.603
16.00p 5.60a 2.014 0.260 0.037 -0.663
18.00p 5.72a 2.019 0.280 0.047 -0.788
20.00p 5.86a 2.026 0.293 0.057 -0.917
22.00p 6.02a 2.034 0.299 0.067 -1.049
22.60p 6.08a 2.037 0.299 0.070 -1.089 MaxRa
24.00p 6.21a 2.044 0.297 0.077 -1.183
26.00p 6.43a 2.055 0.290 0.088 -1.321
28.00p 6.67a 2.067 0.277 0.097 -1.460
30.00p 6.93a 2.080 0.259 0.107 -1.602
32.00p 7.20a 2.094 0.236 0.116 -1.745
34.00p 7.48a 2.108 0.209 0.123 -1.889
36.00p 7.77a 2.123 0.178 0.130 -2.034
38.00p 8.07a 2.136 0.144 0.136 -2.178
40.00p 8.36a 2.149 0.107 0.140 -2.322
42.00p 8.65a 2.159 0.068 0.143 -2.463
44.00p 8.93a 2.168 0.027 0.145 -2.603
45.25p 9.11a 2.172 0.000 0.145 -2.689 RaZero
46.00p 9.21a 2.174 -0.016 0.145 -2.740
48.00p 9.47a 2.178 -0.060 0.144 -2.874
50.00p 9.73a 2.180 -0.104 0.141 -3.006
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
72
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0624 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0624 m-R 0.070 0.008 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.033 0.003 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.259 0.059 Yes
(5) Absolute Angle at MaxRA >15.00 deg 22.60 7.60 Yes
(6) Absolute Angle at Equilibrium <10.00 deg 0.09 9.91 Yes
(7) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.140 0.050 Yes
(8) Angle at Equilibrium to Deck Immersion =0.00 deg 3.28 3.28 Yes
(9) Angle at Equilibrium to RAzero >20.00 deg 45.16 25.16 Yes
(10) GM Upright >0.150 m 0.920 0.770 Yes
73
5.4.2 LC 10: Winch load on aft roller 10t, arrival, 10% consumables, 8t deck cargo
Floating Status
Draft FP 0.570 m Heel 0.01p deg GM(Solid) 1.083 m
Draft MS 1.215 m Equil Yes F/S Corr. 0.014 m
Draft AP 1.859 m Wind Off GM(Fluid) 1.069 m
Trim 1.29a m Wave No KMT 3.535 m
LCG 6.666f m VCG-Solid 2.456 m TPcm 0.78
Displacement 75.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 20.94 3.325f 0.002p 2.675
Displacement 75.19 6.666f 0.000 2.456
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
74
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 8.00 5.650f 0.000 3.415
LOAD ON AFT ROLLER 10.00 0.000 0.000 2.400
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 73.66 6.666f 0.000 2.503
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.806f 2.518s 0.193 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.806f 2.518p 0.193 0.0***
Subtotals: 10.00% 0.53 7.806f 0.000 0.193 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.639f 0.975s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.639f 0.975p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.725f 2.545p 0.437 0.0***
Tk06_FO.S 0.870 10.00% 0.27 4.725f 2.545s 0.437 0.0***
Subtotals: 10.00% 0.97 6.025f 0.000 0.277 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.861f 1.395p 0.026 0.1***
Subtotals: 10.00% 0.03 6.861f 1.395p 0.026 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.660f 0.029p 0.243 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 75.19 6.506f 0.000 0.714 1.000
SubTotals: 75.19 6.506f 0.000 0.714
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.538 m at 0.000 Least freeboard (to margin line) is 0.338 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 1.289/14.000, heel: zero, VCG = 2.456
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.249 75.195 6.506f 0.714 6.624f 0.78 0.72 13.376 1.069
Water Specific Gravity = 1.025. Trim is per 14.00m
75
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.471
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height
(m)
Freeboard (m)
Notes
0.00 5.27a 1.852 -0.001 0.000 0.338 Equil
2.00p 5.26a 1.850 0.041 0.001 0.260
4.00p 5.25a 1.846 0.082 0.003 0.168
6.00p 5.24a 1.840 0.123 0.006 0.072
7.45p 5.23a 1.836 0.153 0.010 0.000 Deck Imm.
8.00p 5.23a 1.834 0.164 0.011 -0.027
10.00p 5.22a 1.825 0.205 0.018 -0.128
12.00p 5.22a 1.814 0.247 0.026 -0.231
14.00p 5.20a 1.799 0.284 0.035 -0.331
15.00p 5.18a 1.790 0.300 0.040 -0.381
16.00p 5.17a 1.780 0.315 0.046 -0.430
18.00p 5.12a 1.757 0.340 0.057 -0.529
20.00p 5.10a 1.733 0.357 0.069 -0.628
22.00p 5.12a 1.712 0.363 0.082 -0.731
22.40p 5.13a 1.709 0.363 0.084 -0.752 MaxRa
24.00p 5.17a 1.695 0.361 0.094 -0.838
26.00p 5.26a 1.680 0.353 0.107 -0.950
28.00p 5.38a 1.668 0.340 0.119 -1.066
30.00p 5.54a 1.659 0.321 0.131 -1.184
32.00p 5.72a 1.650 0.297 0.141 -1.305
34.00p 5.91a 1.642 0.267 0.151 -1.426
36.00p 6.12a 1.634 0.232 0.160 -1.548
38.00p 6.33a 1.625 0.193 0.167 -1.670
40.00p 6.54a 1.616 0.150 0.173 -1.791
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
76
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0626 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0626 m-R 0.084 0.022 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.043 0.013 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.321 0.121 Yes
(5) Absolute Angle at MaxRA >15.00 deg 22.40 7.40 Yes
(6) Absolute Angle at Equilibrium <10.00 deg 0.00 10.00 Yes
(7) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.173 0.083 Yes
(8) Angle at Equilibrium to Deck Immersion =0.00 deg 7.45 7.45 Yes
(9) Angle at Equilibrium to RAzero >20.00 deg 40.00 20.00 Yes
(10) GM Upright >0.150 m 1.068 0.918 Yes
77
5.4.3 LC 11: Winch load on aft roller 10t, departure, 100% consumables, no deck cargo
Floating Status
Draft FP 0.513 m Heel 0.25p deg GM(Solid) 1.106 m
Draft MS 1.343 m Equil Yes F/S Corr. 0.000 m
Draft AP 2.174 m Wind Off GM(Fluid) 1.106 m
Trim 1.66a m Wave No KMT 3.288 m
LCG 6.332f m VCG-Solid 2.190 m TPcm 0.79
Displacement 86.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 31.80 3.564f 0.014p 1.880
Displacement 86.05 6.332f 0.005p 2.190
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
78
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
LOAD ON AFT ROLLER 15.00 0.000 0.000 2.400
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 70.66 6.309f 0.000 2.392
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.1
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.3
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 86.05 6.171f 0.011p 0.824 1.000
SubTotals: 86.05 6.171f 0.011p 0.824
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.215 m at 0.000 Least freeboard (to margin line) is 0.015 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 1.661/14.000, heel: port 0.25 deg., VCG = 2.190
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.391 86.054 6.171f 0.824 6.600f 0.79 0.74 11.974 1.106
Water Specific Gravity = 1.025. Trim is per 14.00m
79
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.205
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height
(m)
Freeboard (m)
Notes
0.00 6.78a 2.160 -0.005 0.000 0.023
0.25p 6.78a 2.160 0.000 0.000 0.014 Equil
0.63p 6.78a 2.160 0.008 0.000 0.000 Deck Imm.
2.00p 6.77a 2.159 0.037 0.001 -0.052
4.00p 6.77a 2.155 0.079 0.003 -0.144
6.00p 6.76a 2.149 0.121 0.006 -0.237
8.00p 6.76a 2.144 0.163 0.011 -0.337
10.00p 6.79a 2.140 0.202 0.017 -0.443
12.00p 6.86a 2.140 0.239 0.025 -0.553
14.00p 6.95a 2.143 0.272 0.034 -0.672
15.00p 7.02a 2.146 0.288 0.039 -0.734
16.00p 7.09a 2.150 0.302 0.044 -0.797
18.00p 7.26a 2.162 0.326 0.055 -0.929
20.00p 7.48a 2.178 0.340 0.067 -1.066
22.00p 7.73a 2.197 0.344 0.079 -1.208 MaxRa
24.00p 8.00a 2.218 0.340 0.091 -1.354
26.00p 8.31a 2.239 0.330 0.102 -1.502
28.00p 8.64a 2.262 0.316 0.114 -1.653
30.00p 8.99a 2.286 0.298 0.124 -1.806
32.00p 9.37a 2.311 0.276 0.134 -1.960
34.00p 9.76a 2.336 0.252 0.143 -2.117
36.00p 10.16a 2.362 0.223 0.152 -2.274
38.00p 10.56a 2.387 0.192 0.159 -2.431
40.00p 10.97a 2.411 0.157 0.165 -2.587
42.00p 11.37a 2.433 0.121 0.170 -2.742
44.00p 11.77a 2.453 0.082 0.174 -2.894
46.00p 12.16a 2.470 0.042 0.176 -3.044
48.00p 12.54a 2.486 0.001 0.176 -3.191
48.05p 12.54a 2.486 0.000 0.176 -3.194 RaZero
50.00p 12.90a 2.498 -0.041 0.176 -3.334
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.3 MT-m was used to adjust the VCG.
80
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0630 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0630 m-R 0.079 0.016 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.041 0.011 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.298 0.098 Yes
(5) Absolute Angle at MaxRA >15.00 deg 22.00 7.00 Yes
(6) Absolute Angle at Equilibrium <10.00 deg 0.25 9.75 Yes
(7) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.165 0.075 Yes
(8) Angle at Equilibrium to Deck Immersion =0.00 deg 0.38 0.38 Yes
(9) Angle at Equilibrium to RAzero >20.00 deg 47.80 27.80 Yes
(10) GM Upright >0.150 m 1.091 0.941 Yes
81
5.4.4 LC 12: Winch load on aft roller 10t, arrival, 10% consumables, no deck cargo
Floating Status
Draft FP 0.352 m Heel 0.01p deg GM(Solid) 1.299 m
Draft MS 1.166 m Equil Yes F/S Corr. 0.015 m
Draft AP 1.980 m Wind Off GM(Fluid) 1.285 m
Trim 1.63a m Wave No KMT 3.637 m
LCG 6.316f m VCG-Solid 2.346 m TPcm 0.78
Displacement 72.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 17.94 1.360f 0.003p 2.269
Displacement 72.19 6.316f 0.000 2.346
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
82
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
LOAD ON AFT ROLLER 15.00 0.000 0.000 2.400
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 70.66 6.309f 0.000 2.392
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.776f 2.519s 0.196 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.776f 2.519p 0.196 0.0***
Subtotals: 10.00% 0.53 7.776f 0.000 0.196 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.631f 0.975s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.631f 0.975p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.704f 2.545p 0.439 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.704f 2.545s 0.439 0.1***
Subtotals: 10.00% 0.97 6.010f 0.000 0.278 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.843f 1.395p 0.026 0.1***
Subtotals: 10.00% 0.03 6.843f 1.395p 0.026 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.639f 0.029p 0.244 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 72.19 6.128f 0.000 0.728 1.000
SubTotals: 72.19 6.128f 0.000 0.728
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.417 m at 0.000 Least freeboard (to margin line) is 0.217 m at 0.000
Hydrostatic Properties Draft is from Baseline. Trim: aft 1.628/14.000, heel: zero, VCG = 2.346
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.218 72.195 6.128f 0.728 6.553f 0.78 0.72 13.871 1.285
Water Specific Gravity = 1.025. Trim is per 14.00m
83
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.016
Adjusted VCG 2.363
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Flood Pt Height
(m)
Freeboard (m)
Notes
0.00 6.64a 1.968 -0.001 0.000 0.216 Equil
2.00p 6.63a 1.966 0.053 0.001 0.141
4.00p 6.63a 1.963 0.103 0.004 0.049
5.05p 6.62a 1.960 0.129 0.006 0.000 Deck Imm.
6.00p 6.62a 1.957 0.153 0.008 -0.045
8.00p 6.61a 1.951 0.203 0.014 -0.144
10.00p 6.61a 1.942 0.253 0.022 -0.244
12.00p 6.62a 1.933 0.302 0.032 -0.347
14.00p 6.65a 1.926 0.348 0.043 -0.455
15.00p 6.67a 1.921 0.368 0.050 -0.510
16.00p 6.70a 1.917 0.385 0.056 -0.564
18.00p 6.77a 1.908 0.411 0.070 -0.675
20.00p 6.87a 1.899 0.424 0.085 -0.787
21.60p 6.96a 1.892 0.428 0.097 -0.879 MaxRa
22.00p 6.99a 1.890 0.427 0.100 -0.902
24.00p 7.14a 1.884 0.422 0.114 -1.021
26.00p 7.32a 1.880 0.410 0.129 -1.144
28.00p 7.53a 1.879 0.393 0.143 -1.271
30.00p 7.77a 1.880 0.372 0.156 -1.400
32.00p 8.04a 1.882 0.346 0.169 -1.532
34.00p 8.32a 1.884 0.316 0.180 -1.664
36.00p 8.63a 1.887 0.283 0.191 -1.797
38.00p 8.95a 1.890 0.247 0.200 -1.932
40.00p 9.27a 1.892 0.207 0.208 -2.065
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
84
Limit Min/Max Actual Margin Pass
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0634 m-R <N/A> <N/A> <N/A>
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0634 m-R 0.097 0.033 Yes
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R 0.052 0.022 Yes
(4) Righting Arm at 30.00 deg >0.200 m 0.372 0.172 Yes
(5) Absolute Angle at MaxRA >15.00 deg 21.60 6.60 Yes
(6) Absolute Angle at Equilibrium <10.00 deg 0.00 10.00 Yes
(7) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.208 0.118 Yes
(8) Angle at Equilibrium to Deck Immersion =0.00 deg 5.05 5.05 Yes
(9) Angle at Equilibrium to RAzero >20.00 deg 40.00 20.00 Yes
(10) GM Upright >0.150 m 1.283 1.133 Yes
85
5.5 Loading conditions for lifting operations
Venus 2 is equipped with the HS Marine AK 30 LHE2 crane with two hydraulic boom extensions as presented
below:
Figure 7 - HS Marine AK 30 LHE2
After computing the heeling moments with respect to vessel’s origin, it was found that the most severe boom
extension is 5.50m, for a safe working load of 3.935t.
Table 3 - Total moment from crane
m m kN kNm # m kN kNm kNm
5.50 6.100 38.6 235.5 1 1.900 26.98 51.3 286.737.80 8.400 25.8 216.7 2 2.460 26.98 66.4 280.20
10.11 10.700 19.2 205.7 3 3.000 26.98 80.9 270.89
Moment from crane load Moment from crane weight (2.750t)
Total MomentBoom
extensionsWeight MomentArm SWL Moment
Boom
extensionsArm
86
The analysis was carried out for three boom orientations (sideways, 45degrees and aft) and the maximum vertical
extension, as showed below:
Figure 8 - Boom orientations considered
The crane load has been reduced from the safe working load of 3.935t to comply with stability criteria. The
maximum value for each boom orientation is presented below:
Orientation
Crane load [t]
with cargo on deck
without cargo on deck
sideways 1.10
1.25
45 degrees
1.750 2.25
aft
3.935 3.935
Table 4 - Reduced crane load for each orientation
During lifting operations, the amount of cargo on deck was reduced from 16t to 5t, to ensure positive stability and
a minimum freeboard of 200mm all around the vessel.
87
5.5.1 LC 13: Crane sideways, departure, 100% consumables, 5t deck cargo
Floating Status
Draft FP 1.029 m Heel 6.73p deg GM(Solid) 1.103 m
Draft MS 1.256 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.483 m Wind Off GM(Fluid) 1.103 m
Trim 0.45a m Wave No KMT 3.394 m
LCG 7.449f m VCG-Solid 2.300 m TPcm 0.78
Displacement 77.2 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 22.90 6.249f 0.469p 2.129
Displacement 77.15 7.449f 0.139p 2.300
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
88
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 2.250f 1.900p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
1.10 2.250f 6.100p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 61.76 7.700f 0.167p 2.559
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 77.15 7.396f 0.328p 0.697 1.000
SubTotals: 77.15 7.396f 0.328p 0.697
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.590 m at 0.550f Least freeboard (to margin line) is 0.390 m at 0.550f
89
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.452/14.000, heel: port 6.73 deg., VCG = 2.300
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.260 77.154 7.396f 0.697 6.871f 0.78 0.72 13.032 1.103
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.029 at 14.000f, 1.483 at 0.000 Trim: aft 0.452/14.000 Heel: port 6.73 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.860 m Volume: 75.272 m³ Displacement: 77.154 MT COEFFICIENTS Prismatic: 0.715 Block: 0.563 Midship: 0.787 Waterplane: 0.929 RATIOS Length/Beam: 2.504 Displacement/length: 783.598 Beam/Depth: 3.607 MT/ cm Immersion: 0.782 AREAS Waterplane: 76.249 m² Wetted Surface: 114.232 m² Under Water Lateral Plane: 18.373 m² Above Water Lateral Plane: 35.174 m² CENTROIDS (Meters) Buoyancy: LCB = 7.396 fwd TCB =0.328 port VCB = 0.697 Flotation: LCF = 6.871 fwd Under Water LP: 7.183 fwd of Origin, 0.704 below waterline. Above Water LP: 8.885 fwd of Origin, 1.536 above waterline. Note: Coefficients calculated based on length of 14.000 m
90
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.315
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.87a 1.486 -0.139 0.000 0.713
5.00p 1.87a 1.479 -0.037 -0.008 0.476
6.82p 1.85a 1.472 0.000 -0.008 0.385 Equil
10.00p 1.71a 1.438 0.055 -0.007 0.240
15.00p 1.36a 1.355 0.135 0.002 0.029
15.71p 1.30a 1.340 0.145 0.003 0.000 Deck Imm.
20.00p 0.95a 1.246 0.209 0.017 -0.173
25.00p 0.60a 1.131 0.274 0.038 -0.377
27.60p 0.46a 1.076 0.284 0.051 -0.491 MaxRa
30.00p 0.35a 1.026 0.278 0.062 -0.598
35.00p 0.14a 0.920 0.229 0.085 -0.821
40.00p 0.04f 0.811 0.149 0.102 -1.053
45.00p 0.21f 0.700 0.050 0.110 -1.304
47.29p 0.28f 0.648 0.000 0.111 -1.416 RaZero
50.00p 0.36f 0.585 -0.061 0.110 -1.546
55.00p 0.50f 0.467 -0.180 0.099 -1.778
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
91
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 6.82 3.18 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.110 0.020 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 8.89 8.89 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 40.47 20.47 Yes
92
5.5.2 LC 14: Crane sideways, arrival, 10% consumables, 5t deck cargo
Floating Status
Draft FP 0.925 m Heel 8.40p deg GM(Solid) 1.063 m
Draft MS 1.062 m Equil Yes F/S Corr. 0.016 m
Draft AP 1.199 m Wind Off GM(Fluid) 1.047 m
Trim 0.27a m Wave No KMT 3.554 m
LCG 7.676f m VCG-Solid 2.502 m TPcm 0.72
Displacement 63.3 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 9.04 6.003f 1.160p 3.284
Displacement 63.29 7.676f 0.166p 2.502
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
93
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .03 10.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 2.250f 1.900p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
1.10 2.250f 6.100p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 61.76 7.700f 0.167p 2.559
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.897f 2.504s 0.189 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.894f 2.530p 0.190 0.0***
Subtotals: 10.00% 0.53 7.895f 0.013p 0.189 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.665f 0.677s 0.101 0.5***
Tk03_FO.P 0.870 10.00% 0.22 7.665f 1.273p 0.101 0.5***
Tk05_FO.P 0.870 10.00% 0.27 4.765f 2.560p 0.435 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.765f 2.530s 0.435 0.1***
Subtotals: 10.00% 0.97 6.059f 0.141p 0.286 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.919f 1.665p 0.042 0.1***
Subtotals: 10.00% 0.03 6.919f 1.665p 0.042 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.714f 0.129p 0.247 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 63.29 7.639f 0.447p 0.598 1.000
SubTotals: 63.29 7.639f 0.447p 0.598
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.777 m at 0.550f Least freeboard (to margin line) is 0.577 m at 0.550f
94
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.271/14.000, heel: port 8.40 deg., VCG = 2.502
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.057 63.295 7.639f 0.598 7.302f 0.72 0.57 12.644 1.047
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.925 at 14.000f, 1.199 at 0.000 Trim: aft 0.271/14.000 Heel: port 8.40 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.883 m Volume: 61.751 m³ Displacement: 63.295 MT COEFFICIENTS Prismatic: 0.706 Block: 0.509 Midship: 0.721 Waterplane: 0.849 RATIOS Length/Beam: 2.504 Displacement/length: 642.844 Beam/Depth: 3.973 MT/ cm Immersion: 0.716 AREAS Waterplane: 69.896 m² Wetted Surface: 99.413 m² Under Water Lateral Plane: 16.497 m² Above Water Lateral Plane: 39.370 m² CENTROIDS (Meters) Buoyancy: LCB = 7.639 fwd TCB =0.447 port VCB = 0.598 Flotation: LCF = 7.302 fwd Under Water LP: 7.385 fwd of Origin, 0.648 below waterline. Above Water LP: 8.685 fwd of Origin, 1.603 above waterline. Note: Coefficients calculated based on length of 14.000 m
95
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.018
Adjusted VCG 2.521
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.59a 1.277 -0.166 0.000 0.922
5.00p 1.39a 1.240 -0.061 -0.010 0.712
8.57p 1.10a 1.183 0.000 -0.012 0.570 Equil
10.00p 0.97a 1.157 0.024 -0.011 0.514
15.00p 0.51a 1.057 0.104 -0.006 0.315
20.00p 0.08a 0.944 0.180 0.007 0.117
22.40p 0.12f 0.885 0.215 0.015 0.000 Deck Imm.
25.00p 0.32f 0.816 0.241 0.025 -0.137
28.40p 0.57f 0.717 0.255 0.040 -0.307 MaxRa
30.00p 0.69f 0.667 0.251 0.047 -0.387
35.00p 1.04f 0.514 0.202 0.067 -0.633
40.00p 1.38f 0.358 0.114 0.081 -0.875
45.00p 1.71f 0.198 0.001 0.086 -1.113
45.06p 1.71f 0.197 0.000 0.086 -1.116 RaZero
50.00p 2.03f 0.036 -0.126 0.081 -1.344
55.00p 2.34f -0.127 -0.263 0.064 -1.566
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
96
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 8.57 1.43 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.093 0.003 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 13.83 13.83 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 36.48 16.48 Yes
97
5.5.3 LC 15: Crane sideways, departure, 100% consumables, no deck cargo
Floating Status
Draft FP 1.012 m Heel 7.05p deg GM(Solid) 1.166 m
Draft MS 1.192 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.371 m Wind Off GM(Fluid) 1.166 m
Trim 0.36a m Wave No KMT 3.386 m
LCG 7.562f m VCG-Solid 2.229 m TPcm 0.75
Displacement 72.3 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 18.05 6.381f 0.646p 1.799
Displacement 72.30 7.562f 0.161p 2.229
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
98
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 2.250f 1.900p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
1.25 2.250f 6.100p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 56.91 7.866f 0.197p 2.490
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.0***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 72.30 7.522f 0.355p 0.660 1.000
SubTotals: 72.30 7.522f 0.355p 0.660
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.681 m at 0.550f Least freeboard (to margin line) is 0.481 m at 0.550f
99
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.356/14.000, heel: port 7.05 deg., VCG = 2.229
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.190 72.303 7.522f 0.660 7.065f 0.75 0.66 12.813 1.166
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.012 at 14.000f, 1.371 at 0.000 Trim: aft 0.356/14.000 Heel: port 7.05 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.864 m Volume: 70.540 m³ Displacement: 72.303 MT COEFFICIENTS Prismatic: 0.713 Block: 0.550 Midship: 0.771 Waterplane: 0.895 RATIOS Length/Beam: 2.504 Displacement/length: 734.338 Beam/Depth: 3.757 MT/ cm Immersion: 0.754 AREAS Waterplane: 73.518 m² Wetted Surface: 109.767 m² Under Water Lateral Plane: 17.634 m² Above Water Lateral Plane: 36.357 m² CENTROIDS (Meters) Buoyancy: LCB = 7.522 fwd TCB =0.355 port VCB = 0.660 Flotation: LCF = 7.065 fwd Under Water LP: 7.281 fwd of Origin, 0.682 below waterline. Above Water LP: 8.810 fwd of Origin, 1.550 above waterline. Note: Coefficients calculated based on length of 14.000 m
100
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.016
Adjusted VCG 2.245
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.59a 1.391 -0.161 0.000 0.808
5.00p 1.55a 1.380 -0.043 -0.009 0.573
7.15p 1.45a 1.359 0.000 -0.010 0.476 Equil
10.00p 1.27a 1.320 0.054 -0.008 0.354
15.00p 0.86a 1.226 0.142 0.000 0.151
18.75p 0.55a 1.145 0.207 0.012 0.000 Deck Imm.
20.00p 0.44a 1.116 0.228 0.016 -0.049
25.00p 0.05a 0.992 0.311 0.040 -0.246
28.80p 0.21f 0.896 0.332 0.062 -0.437 MaxRa
30.00p 0.28f 0.866 0.330 0.068 -0.500
35.00p 0.57f 0.740 0.291 0.096 -0.760
40.00p 0.83f 0.612 0.218 0.118 -1.015
45.00p 1.07f 0.481 0.124 0.134 -1.264
50.00p 1.30f 0.347 0.017 0.140 -1.504
50.74p 1.34f 0.327 0.000 0.140 -1.539 RaZero
55.00p 1.53f 0.211 -0.100 0.136 -1.734
60.00p 1.74f 0.072 -0.221 0.122 -1.953
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
101
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 7.15 2.85 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.128 0.038 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 11.61 11.61 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 43.59 23.59 Yes
102
5.5.4 LC 16: Crane sideways, arrival, 10% consumables, no deck cargo
Floating Status
Draft FP 0.932 m Heel 9.30p deg GM(Solid) 1.280 m
Draft MS 0.985 m Equil Yes F/S Corr. 0.017 m
Draft AP 1.037 m Wind Off GM(Fluid) 1.263 m
Trim 0.10a m Wave No KMT 3.694 m
LCG 7.836f m VCG-Solid 2.431 m TPcm 0.69
Displacement 58.4 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 4.19 6.293f 2.724p 3.199
Displacement 58.44 7.836f 0.195p 2.431
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
103
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 2.250f 1.900p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
1.25 2.250f 6.100p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 56.91 7.866f 0.197p 2.490
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.911f 2.503s 0.189 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.910f 2.532p 0.190 0.0***
Subtotals: 10.00% 0.53 7.911f 0.014p 0.189 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.670f 0.646s 0.106 0.5***
Tk03_FO.P 0.870 10.00% 0.22 7.670f 1.304p 0.106 0.5***
Tk05_FO.P 0.870 10.00% 0.27 4.770f 2.561p 0.435 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.770f 2.529s 0.435 0.0***
Subtotals: 10.00% 0.97 6.064f 0.156p 0.288 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.926f 1.679p 0.044 0.1***
Subtotals: 10.00% 0.03 6.926f 1.679p 0.044 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.722f 0.139p 0.249 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 58.44 7.822f 0.501p 0.564 1.000
SubTotals: 58.44 7.822f 0.501p 0.564
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.881 m at 0.825f Least freeboard (to margin line) is 0.681 m at 0.825f
104
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.104/14.000, heel: port 9.30 deg., VCG = 2.431
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
0.981 58.445 7.822f 0.564 7.508f 0.69 0.51 12.317 1.263
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.932 at 14.000f, 1.037 at 0.000 Trim: aft 0.104/14.000 Heel: port 9.30 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.897 m Volume: 57.019 m³ Displacement: 58.445 MT COEFFICIENTS Prismatic: 0.719 Block: 0.491 Midship: 0.683 Waterplane: 0.818 RATIOS Length/Beam: 2.504 Displacement/length: 593.586 Beam/Depth: 4.148 MT/ cm Immersion: 0.693 AREAS Waterplane: 67.564 m² Wetted Surface: 91.055 m² Under Water Lateral Plane: 15.855 m² Above Water Lateral Plane: 41.241 m² CENTROIDS (Meters) Buoyancy: LCB = 7.822 fwd TCB =0.501 port VCB = 0.564 Flotation: LCF = 7.508 fwd Under Water LP: 7.572 fwd of Origin, 0.634 below waterline. Above Water LP: 8.596 fwd of Origin, 1.624 above waterline. Note: Coefficients calculated based on length of 14.000 m
105
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.020
Adjusted VCG 2.451
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.04a 1.140 -0.195 0.000 1.059
5.00p 0.80a 1.096 -0.090 -0.012 0.851
9.45p 0.41a 1.021 0.000 -0.016 0.674 Equil
10.00p 0.36a 1.011 0.011 -0.016 0.653
15.00p 0.09f 0.910 0.109 -0.011 0.437
20.00p 0.51f 0.798 0.204 0.003 0.155
22.87p 0.75f 0.726 0.246 0.014 0.000 Deck Imm.
25.00p 0.91f 0.667 0.266 0.024 -0.110
29.00p 1.20f 0.546 0.283 0.043 -0.306 MaxRa
30.00p 1.28f 0.513 0.282 0.048 -0.355
35.00p 1.70f 0.340 0.246 0.071 -0.596
40.00p 2.14f 0.161 0.166 0.089 -0.836
45.00p 2.57f -0.022 0.060 0.099 -1.072
47.49p 2.78f -0.114 0.000 0.101 -1.188 RaZero
50.00p 2.99f -0.206 -0.063 0.099 -1.302
55.00p 3.40f -0.390 -0.196 0.088 -1.524
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
106
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 9.45 0.55 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.105 0.015 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 13.42 13.42 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 38.04 18.04 Yes
107
5.5.5 LC 17: Crane to 45deg, departure, 100% consumables, 5t deck cargo
Floating Status
Draft FP 0.950 m Heel 6.85p deg GM(Solid) 1.175 m
Draft MS 1.262 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.573 m Wind Off GM(Fluid) 1.175 m
Trim 0.62a m Wave No KMT 3.490 m
LCG 7.285f m VCG-Solid 2.325 m TPcm 0.80
Displacement 77.8 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 23.55 5.742f 0.460p 2.215
Displacement 77.80 7.285f 0.139p 2.325
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
108
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 1.330f 1.520p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
1.75 1.640a 4.490p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 62.41 7.494f 0.166p 2.587
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 77.80 7.213f 0.333p 0.709 1.000
SubTotals: 77.80 7.213f 0.333p 0.709
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.500 m at 0.412f Least freeboard (to margin line) is 0.300 m at 0.412f
109
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.619/14.000, heel: port 6.85 deg., VCG = 2.325
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.273 77.804 7.213f 0.709 6.742f 0.80 0.75 13.460 1.175
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.950 at 14.000f, 1.573 at 0.000 Trim: aft 0.619/14.000 Heel: port 6.85 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.862 m Volume: 75.906 m³ Displacement: 77.804 MT COEFFICIENTS Prismatic: 0.704 Block: 0.554 Midship: 0.787 Waterplane: 0.945 RATIOS Length/Beam: 2.504 Displacement/length: 790.200 Beam/Depth: 3.523 MT/ cm Immersion: 0.795 AREAS Waterplane: 77.592 m² Wetted Surface: 117.698 m² Under Water Lateral Plane: 18.504 m² Above Water Lateral Plane: 35.210 m² CENTROIDS (Meters) Buoyancy: LCB = 7.213 fwd TCB =0.333 port VCB = 0.709 Flotation: LCF = 6.742 fwd Under Water LP: 7.027 fwd of Origin, 0.708 below waterline. Above Water LP: 8.926 fwd of Origin, 1.558 above waterline. Note: Coefficients calculated based on length of 14.000 m
110
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.339
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 2.55a 1.573 -0.139 0.000 0.624
5.00p 2.54a 1.566 -0.040 -0.008 0.393
6.93p 2.53a 1.561 0.000 -0.008 0.295 Equil
10.00p 2.46a 1.539 0.059 -0.007 0.145
13.28p 2.28a 1.493 0.113 -0.002 0.000 Deck Imm.
15.00p 2.16a 1.463 0.139 0.002 -0.073
20.00p 1.79a 1.360 0.211 0.017 -0.276
25.00p 1.51a 1.259 0.266 0.038 -0.493
27.40p 1.45a 1.217 0.273 0.049 -0.605 MaxRa
30.00p 1.39a 1.172 0.265 0.062 -0.729
35.00p 1.32a 1.085 0.213 0.083 -0.970
40.00p 1.27a 0.995 0.130 0.098 -1.209
45.00p 1.23a 0.900 0.030 0.105 -1.444
46.35p 1.22a 0.874 0.000 0.106 -1.506 RaZero
50.00p 1.20a 0.802 -0.083 0.103 -1.672
55.00p 1.16a 0.699 -0.202 0.091 -1.890
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
111
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 6.93 3.07 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.107 0.017 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 6.35 6.35 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 39.41 19.41 Yes
112
5.5.6 LC 18: Crane to 45deg, arrival, 10% consumables, 5t deck cargo
Floating Status
Draft FP 0.825 m Heel 7.68p deg GM(Solid) 1.065 m
Draft MS 1.078 m Equil Yes F/S Corr. 0.016 m
Draft AP 1.330 m Wind Off GM(Fluid) 1.049 m
Trim 0.50a m Wave No KMT 3.585 m
LCG 7.475f m VCG-Solid 2.530 m TPcm 0.73
Displacement 63.9 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 9.69 4.786f 1.091p 3.416
Displacement 63.94 7.475f 0.165p 2.530
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
HYDRO OIL .03 10.00
113
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 1.330f 1.520p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
1.75 1.640a 4.490p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 62.41 7.494f 0.166p 2.587
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.877f 2.506s 0.190 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.873f 2.529p 0.190 0.0***
Subtotals: 10.00% 0.53 7.875f 0.012p 0.190 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.660f 0.702s 0.097 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.660f 1.248p 0.097 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.757f 2.559p 0.435 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.757f 2.531s 0.435 0.1***
Subtotals: 10.00% 0.97 6.052f 0.130p 0.285 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.909f 1.652p 0.040 0.1***
Subtotals: 10.00% 0.03 6.909f 1.652p 0.040 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.702f 0.121p 0.247 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 63.94 7.405f 0.425p 0.606 1.000
SubTotals: 63.94 7.405f 0.425p 0.606
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.694 m at 0.550f Least freeboard (to margin line) is 0.494 m at 0.550f
114
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.501/14.000, heel: port 7.68 deg., VCG = 2.530
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.074 63.945 7.405f 0.606 7.112f 0.73 0.61 13.358 1.049
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.825 at 14.000f, 1.330 at 0.000 Trim: aft 0.501/14.000 Heel: port 7.68 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.873 m Volume: 62.385 m³ Displacement: 63.945 MT COEFFICIENTS Prismatic: 0.682 Block: 0.508 Midship: 0.744 Waterplane: 0.871 RATIOS Length/Beam: 2.504 Displacement/length: 649.446 Beam/Depth: 3.923 MT/ cm Immersion: 0.734 AREAS Waterplane: 71.603 m² Wetted Surface: 108.266 m² Under Water Lateral Plane: 16.371 m² Above Water Lateral Plane: 38.501 m² CENTROIDS (Meters) Buoyancy: LCB = 7.405 fwd TCB =0.425 port VCB = 0.606 Flotation: LCF = 7.112 fwd Under Water LP: 7.159 fwd of Origin, 0.638 below waterline. Above Water LP: 8.752 fwd of Origin, 1.620 above waterline. Note: Coefficients calculated based on length of 14.000 m
115
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.018
Adjusted VCG 2.548
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 2.29a 1.367 -0.165 0.000 0.831
5.00p 2.21a 1.350 -0.051 -0.009 0.607
7.83p 2.04a 1.316 0.000 -0.011 0.487 Equil
10.00p 1.87a 1.280 0.036 -0.010 0.399
15.00p 1.42a 1.182 0.112 -0.003 0.203
20.00p 0.99a 1.069 0.184 0.010 0.005
20.12p 0.98a 1.066 0.186 0.010 0.000 Deck Imm.
25.00p 0.60a 0.942 0.239 0.028 -0.189
28.00p 0.41a 0.860 0.251 0.041 -0.301 MaxRa
30.00p 0.31a 0.806 0.245 0.050 -0.378
35.00p 0.09a 0.671 0.192 0.069 -0.573
40.00p 0.10f 0.535 0.101 0.082 -0.788
44.43p 0.26f 0.413 0.000 0.086 -0.989 RaZero
45.00p 0.28f 0.397 -0.013 0.086 -1.015
50.00p 0.46f 0.255 -0.143 0.080 -1.236
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
116
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 7.83 2.17 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.093 0.003 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 12.29 12.29 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 36.60 16.60 Yes
117
5.5.7 LC 19: Crane to 45deg, departure, 100% consumables, no deck cargo
Floating Status
Draft FP 0.907 m Heel 7.71p deg GM(Solid) 1.186 m
Draft MS 1.204 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.500 m Wind Off GM(Fluid) 1.186 m
Trim 0.59a m Wave No KMT 3.444 m
LCG 7.336f m VCG-Solid 2.270 m TPcm 0.77
Displacement 73.3 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 19.05 5.572f 0.687p 1.980
Displacement 73.30 7.336f 0.179p 2.270
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
118
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 1.330f 1.520p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
2.25 1.640a 4.490p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 57.91 7.574f 0.218p 2.538
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 73.30 7.268f 0.394p 0.680 1.000
SubTotals: 73.30 7.268f 0.394p 0.680
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.527 m at 0.550f Least freeboard (to margin line) is 0.327 m at 0.550f
119
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.588/14.000, heel: port 7.71 deg., VCG = 2.270
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.207 73.304 7.268f 0.680 6.919f 0.77 0.69 13.184 1.186
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.907 at 14.000f, 1.500 at 0.000 Trim: aft 0.588/14.000 Heel: port 7.71 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.873 m Volume: 71.516 m³ Displacement: 73.304 MT COEFFICIENTS Prismatic: 0.696 Block: 0.530 Midship: 0.762 Waterplane: 0.912 RATIOS Length/Beam: 2.504 Displacement/length: 744.496 Beam/Depth: 3.585 MT/ cm Immersion: 0.769 AREAS Waterplane: 74.984 m² Wetted Surface: 114.959 m² Under Water Lateral Plane: 18.111 m² Above Water Lateral Plane: 36.805 m² CENTROIDS (Meters) Buoyancy: LCB = 7.268 fwd TCB =0.394 port VCB = 0.680 Flotation: LCF = 6.919 fwd Under Water LP: 7.057 fwd of Origin, 0.696 below waterline. Above Water LP: 8.855 fwd of Origin, 1.581 above waterline. Note: Coefficients calculated based on length of 14.000 m
120
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.016
Adjusted VCG 2.286
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 2.46a 1.506 -0.179 0.000 0.692
5.00p 2.45a 1.499 -0.063 -0.011 0.460
7.81p 2.40a 1.485 0.000 -0.012 0.322 Equil
10.00p 2.29a 1.459 0.042 -0.011 0.223
15.00p 1.95a 1.376 0.131 -0.004 0.013
15.32p 1.92a 1.370 0.136 -0.003 0.000 Deck Imm.
20.00p 1.54a 1.268 0.213 0.011 -0.187
25.00p 1.20a 1.153 0.284 0.033 -0.391
28.20p 1.08a 1.087 0.299 0.050 -0.532 MaxRa
30.00p 1.03a 1.050 0.296 0.059 -0.612
35.00p 0.91a 0.948 0.253 0.083 -0.838
40.00p 0.82a 0.844 0.177 0.102 -1.065
45.00p 0.74a 0.736 0.081 0.114 -1.287
48.75p 0.68a 0.653 0.000 0.116 -1.449 RaZero
50.00p 0.67a 0.625 -0.028 0.116 -1.502
55.00p 0.60a 0.511 -0.145 0.109 -1.710
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
121
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 7.81 2.19 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.114 0.024 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 7.51 7.51 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 40.94 20.94 Yes
122
5.5.8 LC 20: Crane to 45deg, arrival, 10% consumables, no deck cargo
Floating Status
Draft FP 0.804 m Heel 9.51p deg GM(Solid) 1.207 m
Draft MS 1.006 m Equil Yes F/S Corr. 0.016 m
Draft AP 1.209 m Wind Off GM(Fluid) 1.190 m
Trim 0.40a m Wave No KMT 3.668 m
LCG 7.552f m VCG-Solid 2.479 m TPcm 0.71
Displacement 59.4 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 5.19 3.336f 2.476p 3.595
Displacement 59.44 7.552f 0.216p 2.479
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
123
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .03 10.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 1.330f 1.520p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
2.25 1.640a 4.490p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 57.91 7.574f 0.218p 2.538
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.886f 2.503s 0.190 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.882f 2.533p 0.190 0.0***
Subtotals: 10.00% 0.53 7.884f 0.015p 0.190 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.662f 0.638s 0.107 0.5***
Tk03_FO.P 0.870 10.00% 0.22 7.662f 1.312p 0.107 0.5***
Tk05_FO.P 0.870 10.00% 0.27 4.759f 2.562p 0.436 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.759f 2.528s 0.436 0.0***
Subtotals: 10.00% 0.97 6.055f 0.160p 0.289 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.915f 1.682p 0.045 0.1***
Subtotals: 10.00% 0.03 6.915f 1.682p 0.045 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.707f 0.142p 0.250 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 59.44 7.497f 0.534p 0.583 1.000
SubTotals: 59.44 7.497f 0.534p 0.583
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.714 m at 0.550f Least freeboard (to margin line) is 0.514 m at 0.550f
124
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.400/14.000, heel: port 9.51 deg., VCG = 2.479
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
0.999 59.445 7.497f 0.583 7.267f 0.71 0.57 13.330 1.190
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.804 at 14.000f, 1.209 at 0.000 Trim: aft 0.400/14.000 Heel: port 9.51 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.901 m Volume: 57.995 m³ Displacement: 59.445 MT COEFFICIENTS Prismatic: 0.687 Block: 0.475 Midship: 0.691 Waterplane: 0.839 RATIOS Length/Beam: 2.504 Displacement/length: 603.743 Beam/Depth: 3.948 MT/ cm Immersion: 0.710 AREAS Waterplane: 69.297 m² Wetted Surface: 100.223 m² Under Water Lateral Plane: 16.254 m² Above Water Lateral Plane: 41.133 m² CENTROIDS (Meters) Buoyancy: LCB = 7.497 fwd TCB =0.534 port VCB = 0.583 Flotation: LCF = 7.267 fwd Under Water LP: 7.260 fwd of Origin, 0.638 below waterline. Above Water LP: 8.660 fwd of Origin, 1.652 above waterline. Note: Coefficients calculated based on length of 14.000 m
125
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.020
Adjusted VCG 2.498
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 2.21a 1.300 -0.216 0.000 0.899
5.00p 2.02a 1.265 -0.093 -0.013 0.692
9.69p 1.62a 1.189 0.000 -0.017 0.507 Equil
10.00p 1.59a 1.183 0.006 -0.017 0.494
15.00p 1.14a 1.083 0.097 -0.013 0.298
20.00p 0.70a 0.970 0.183 0.000 0.100
22.57p 0.50a 0.906 0.219 0.009 0.000 Deck Imm.
25.00p 0.33a 0.842 0.240 0.018 -0.092
29.00p 0.07a 0.724 0.255 0.036 -0.235 MaxRa
30.00p 0.01a 0.694 0.254 0.040 -0.271
35.00p 0.26f 0.544 0.213 0.061 -0.500
40.00p 0.49f 0.393 0.130 0.076 -0.727
45.00p 0.73f 0.238 0.022 0.083 -0.950
45.92p 0.77f 0.210 0.000 0.083 -0.990 RaZero
50.00p 0.96f 0.082 -0.102 0.079 -1.166
55.00p 1.19f -0.077 -0.237 0.065 -1.376
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
126
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 9.69 0.31 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.093 0.003 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 12.88 12.88 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 36.23 16.23 Yes
127
5.5.9 LC 21: Crane to aft, departure, 100% consumables, 5t deck cargo
Floating Status
Draft FP 0.795 m Heel 0.08s deg GM(Solid) 0.991 m
Draft MS 1.284 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.772 m Wind Off GM(Fluid) 0.991 m
Trim 0.98a m Wave No KMT 3.393 m
LCG 6.949f m VCG-Solid 2.404 m TPcm 0.79
Displacement 80.0 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 25.73 4.828f 0.008s 2.473
Displacement 79.99 6.949f 0.002s 2.404
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
128
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 0.950f 0.150p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
3.94 3.250a 0.150p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 64.59 7.071f 0.010s 2.677
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 79.99 6.832f 0.005s 0.725 1.000
SubTotals: 79.99 6.832f 0.005s 0.725
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.623 m at 0.000 Least freeboard (to margin line) is 0.423 m at 0.000
129
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.977/14.000, heel: stbd 0.08 deg., VCG = 2.404
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.304 79.988 6.832f 0.725 6.701f 0.79 0.73 12.763 0.991
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.795 at 14.000f, 1.772 at 0.000 Trim: aft 0.977/14.000 Heel: stbd 0.08 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 78.038 m³ Displacement: 79.988 MT COEFFICIENTS Prismatic: 0.684 Block: 0.609 Midship: 0.891 Waterplane: 0.943 RATIOS Length/Beam: 2.504 Displacement/length: 812.390 Beam/Depth: 3.701 MT/ cm Immersion: 0.788 AREAS Waterplane: 76.868 m² Wetted Surface: 125.291 m² Under Water Lateral Plane: 15.581 m² Above Water Lateral Plane: 28.375 m² CENTROIDS (Meters) Buoyancy: LCB = 6.832 fwd TCB =0.005 port VCB = 0.725 Flotation: LCF = 6.701 fwd Under Water LP: 6.625 fwd of Origin, 0.607 below waterline. Above Water LP: 9.283 fwd of Origin, 1.584 above waterline. Note: Coefficients calculated based on length of 14.000 m
130
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.419
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 4.00a 1.768 -0.002 0.000 0.426
0.08s 4.00a 1.768 0.000 0.000 0.423 Equil
2.00s 3.99a 1.767 0.034 0.001 0.345
4.00s 3.98a 1.763 0.070 0.002 0.253
6.00s 3.97a 1.757 0.107 0.005 0.156
8.00s 3.96a 1.749 0.144 0.010 0.056
9.10s 3.96a 1.745 0.165 0.013 0.000 Deck Imm.
10.00s 3.95a 1.741 0.182 0.016 -0.046
12.00s 3.93a 1.728 0.219 0.023 -0.146
14.00s 3.88a 1.708 0.252 0.031 -0.243
16.00s 3.80a 1.681 0.281 0.040 -0.336
18.00s 3.72a 1.652 0.305 0.050 -0.427
20.00s 3.65a 1.622 0.324 0.061 -0.520
22.00s 3.61a 1.595 0.337 0.073 -0.617
24.00s 3.60a 1.572 0.343 0.085 -0.719
24.60s 3.61a 1.565 0.343 0.088 -0.750 MaxRa
26.00s 3.64a 1.552 0.342 0.097 -0.825
28.00s 3.71a 1.534 0.335 0.108 -0.934
30.00s 3.79a 1.519 0.319 0.120 -1.046
32.00s 3.89a 1.503 0.297 0.131 -1.159
34.00s 4.00a 1.487 0.268 0.141 -1.272
36.00s 4.11a 1.471 0.235 0.149 -1.385
38.00s 4.22a 1.454 0.197 0.157 -1.497
40.00s 4.33a 1.436 0.156 0.163 -1.609
42.00s 4.45a 1.418 0.112 0.168 -1.719
44.00s 4.56a 1.398 0.066 0.171 -1.828
46.00s 4.67a 1.377 0.018 0.172 -1.936
46.75s 4.71a 1.368 0.000 0.172 -1.976 RaZero
48.00s 4.78a 1.354 -0.031 0.172 -2.042
50.00s 4.88a 1.331 -0.082 0.170 -2.146
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
131
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 0.08 9.92 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.163 0.073 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 9.02 9.02 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 46.67 26.67 Yes
132
5.5.10 LC 22: Crane to aft, arrival, 10% consumables, 5t deck cargo
Floating Status
Draft FP 0.646 m Heel 0.41s deg GM(Solid) 1.202 m
Draft MS 1.108 m Equil Yes F/S Corr. 0.016 m
Draft AP 1.570 m Wind Off GM(Fluid) 1.187 m
Trim 0.92a m Wave No KMT 3.820 m
LCG 7.061f m VCG-Solid 2.620 m TPcm 0.78
Displacement 66.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 11.87 2.979f 0.051s 3.753
Displacement 66.13 7.061f 0.009s 2.620
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
133
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .03 10.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 0.950f 0.150p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
3.94 3.250a 0.150p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 64.59 7.071f 0.010s 2.677
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.838f 2.518s 0.191 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.838f 2.517p 0.191 0.0***
Subtotals: 10.00% 0.53 7.838f 0.000 0.191 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.649f 0.990s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.649f 0.960p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.742f 2.544p 0.435 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.742f 2.546s 0.435 0.1***
Subtotals: 10.00% 0.97 6.039f 0.007s 0.276 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.881f 1.378p 0.025 0.1***
Subtotals: 10.00% 0.03 6.881f 1.378p 0.025 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.680f 0.024p 0.241 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 66.13 6.930f 0.024s 0.617 1.000
SubTotals: 66.13 6.930f 0.024s 0.617
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.813 m at 0.000 Least freeboard (to margin line) is 0.613 m at 0.000
134
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.924/14.000, heel: stbd 0.41 deg., VCG = 2.620
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.130 66.130 6.930f 0.617 6.666f 0.78 0.71 15.027 1.187
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.646 at 14.000f, 1.570 at 0.000 Trim: aft 0.924/14.000 Heel: stbd 0.41 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 64.517 m³ Displacement: 66.130 MT COEFFICIENTS Prismatic: 0.651 Block: 0.571 Midship: 0.877 Waterplane: 0.936 RATIOS Length/Beam: 2.504 Displacement/length: 671.637 Beam/Depth: 4.201 MT/ cm Immersion: 0.782 AREAS Waterplane: 76.247 m² Wetted Surface: 117.732 m² Under Water Lateral Plane: 13.312 m² Above Water Lateral Plane: 31.130 m² CENTROIDS (Meters) Buoyancy: LCB = 6.930 fwd TCB =0.024 port VCB = 0.617 Flotation: LCF = 6.666 fwd Under Water LP: 6.654 fwd of Origin, 0.532 below waterline. Above Water LP: 9.066 fwd of Origin, 1.621 above waterline. Note: Coefficients calculated based on length of 14.000 m
135
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.017
Adjusted VCG 2.637
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 3.78a 1.567 -0.009 0.000 0.628
0.41s 3.78a 1.567 0.000 0.000 0.612 Equil
2.00s 3.78a 1.566 0.035 0.000 0.546
4.00s 3.77a 1.563 0.078 0.002 0.453
6.00s 3.77a 1.558 0.123 0.006 0.354
8.00s 3.74a 1.549 0.165 0.011 0.256
10.00s 3.66a 1.528 0.200 0.017 0.165
12.00s 3.54a 1.500 0.231 0.025 0.079
13.89s 3.40a 1.468 0.256 0.033 0.000 Deck Imm.
14.00s 3.39a 1.465 0.258 0.033 -0.004
16.00s 3.24a 1.427 0.283 0.043 -0.085
18.00s 3.07a 1.385 0.306 0.053 -0.165
20.00s 2.91a 1.339 0.326 0.064 -0.243
22.00s 2.77a 1.294 0.341 0.076 -0.323
24.00s 2.67a 1.250 0.351 0.088 -0.405
25.20s 2.63a 1.225 0.353 0.095 -0.456 MaxRa
26.00s 2.61a 1.208 0.352 0.100 -0.490
28.00s 2.58a 1.168 0.343 0.112 -0.579
30.00s 2.58a 1.130 0.327 0.124 -0.670
32.00s 2.60a 1.093 0.303 0.135 -0.763
34.00s 2.64a 1.056 0.272 0.145 -0.856
36.00s 2.68a 1.020 0.235 0.154 -0.950
38.00s 2.72a 0.983 0.193 0.161 -1.044
40.00s 2.77a 0.946 0.146 0.167 -1.138
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
136
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 0.41 9.59 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.167 0.077 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 13.48 13.48 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 39.59 19.59 Yes
137
5.5.11 LC 23: Crane to aft, departure, 100% consumables, no deck cargo
Floating Status
Draft FP 0.774 m Heel 0.10s deg GM(Solid) 1.190 m
Draft MS 1.222 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.670 m Wind Off GM(Fluid) 1.190 m
Trim 0.90a m Wave No KMT 3.524 m
LCG 7.036f m VCG-Solid 2.337 m TPcm 0.79
Displacement 75.0 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 20.73 4.630f 0.009s 2.246
Displacement 74.99 7.036f 0.003s 2.337
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
138
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 0.950f 0.150p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
3.94 3.250a 0.150p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 59.59 7.190f 0.011s 2.615
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.0***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 74.99 6.930f 0.005s 0.683 1.000
SubTotals: 74.99 6.930f 0.005s 0.683
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.725 m at 0.000 Least freeboard (to margin line) is 0.525 m at 0.000
139
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.896/14.000, heel: stbd 0.10 deg., VCG = 2.337
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.241 74.988 6.930f 0.683 6.699f 0.79 0.73 13.660 1.190
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.774 at 14.000f, 1.670 at 0.000 Trim: aft 0.896/14.000 Heel: stbd 0.10 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 73.159 m³ Displacement: 74.988 MT COEFFICIENTS Prismatic: 0.677 Block: 0.604 Midship: 0.892 Waterplane: 0.942 RATIOS Length/Beam: 2.504 Displacement/length: 761.608 Beam/Depth: 3.916 MT/ cm Immersion: 0.786 AREAS Waterplane: 76.716 m² Wetted Surface: 121.430 m² Under Water Lateral Plane: 14.734 m² Above Water Lateral Plane: 29.248 m² CENTROIDS (Meters) Buoyancy: LCB = 6.930 fwd TCB =0.005 port VCB = 0.683 Flotation: LCF = 6.699 fwd Under Water LP: 6.704 fwd of Origin, 0.578 below waterline. Above Water LP: 9.187 fwd of Origin, 1.585 above waterline. Note: Coefficients calculated based on length of 14.000 m
140
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.352
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 3.67a 1.667 -0.003 0.000 0.528
0.09s 3.67a 1.667 0.000 0.000 0.525 Equil
2.00s 3.66a 1.665 0.040 0.001 0.446
4.00s 3.65a 1.662 0.083 0.003 0.353
6.00s 3.65a 1.657 0.127 0.006 0.255
8.00s 3.64a 1.650 0.171 0.012 0.154
10.00s 3.62a 1.639 0.214 0.018 0.055
11.13s 3.59a 1.629 0.237 0.023 0.000 Deck Imm.
12.00s 3.55a 1.620 0.253 0.027 -0.041
14.00s 3.45a 1.592 0.287 0.036 -0.130
16.00s 3.33a 1.558 0.318 0.047 -0.216
18.00s 3.19a 1.520 0.346 0.058 -0.299
20.00s 3.07a 1.481 0.373 0.071 -0.384
22.00s 2.97a 1.444 0.394 0.084 -0.471
24.00s 2.91a 1.410 0.407 0.098 -0.563
26.00s 2.90a 1.380 0.413 0.112 -0.660
26.60s 2.90a 1.372 0.414 0.117 -0.689 MaxRa
28.00s 2.91a 1.352 0.412 0.127 -0.759
30.00s 2.95a 1.326 0.401 0.141 -0.861
32.00s 3.00a 1.300 0.383 0.155 -0.964
34.00s 3.06a 1.273 0.357 0.168 -1.068
36.00s 3.12a 1.247 0.326 0.180 -1.171
38.00s 3.19a 1.220 0.291 0.190 -1.274
40.00s 3.25a 1.192 0.251 0.200 -1.377
42.00s 3.32a 1.164 0.209 0.208 -1.479
44.00s 3.39a 1.134 0.164 0.214 -1.580
46.00s 3.46a 1.104 0.117 0.219 -1.680
48.00s 3.52a 1.073 0.068 0.223 -1.778
50.00s 3.59a 1.041 0.017 0.224 -1.875
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
141
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 0.09 9.91 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.200 0.110 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 11.04 11.04 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 49.91 29.91 Yes
142
5.5.12 LC 24: Crane to aft, arrival, 10% consumables, no deck cargo
Floating Status
Draft FP 0.625 m Heel 0.37s deg GM(Solid) 1.477 m
Draft MS 1.046 m Equil Yes F/S Corr. 0.017 m
Draft AP 1.467 m Wind Off GM(Fluid) 1.460 m
Trim 0.84a m Wave No KMT 4.029 m
LCG 7.177f m VCG-Solid 2.555 m TPcm 0.78
Displacement 61.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 6.87 1.038f 0.089s 3.999
Displacement 61.13 7.177f 0.010s 2.555
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
143
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .03 10.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 0.950f 0.150p 4.655
CRANE LOAD 5.5M ARM - MAX MOM.
3.94 3.250a 0.150p 5.250
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 59.59 7.190f 0.011s 2.615
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.845f 2.518s 0.190 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.845f 2.516p 0.190 0.0***
Subtotals: 10.00% 0.53 7.845f 0.000 0.190 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.651f 0.988s 0.079 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.651f 0.962p 0.079 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.746f 2.544p 0.435 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.746f 2.546s 0.435 0.1***
Subtotals: 10.00% 0.97 6.042f 0.006s 0.276 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.885f 1.380p 0.025 0.1***
Subtotals: 10.00% 0.03 6.885f 1.380p 0.025 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.685f 0.025p 0.241 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 61.13 7.058f 0.023s 0.572 1.000
SubTotals: 61.13 7.058f 0.023s 0.572
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.918 m at 0.000 Least freeboard (to margin line) is 0.718 m at 0.000
144
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.842/14.000, heel: stbd 0.37 deg., VCG = 2.555
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.066 61.130 7.058f 0.572 6.663f 0.78 0.71 16.307 1.460
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.625 at 14.000f, 1.467 at 0.000 Trim: aft 0.842/14.000 Heel: stbd 0.37 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.820 m Volume: 59.639 m³ Displacement: 61.130 MT COEFFICIENTS Prismatic: 0.642 Block: 0.564 Midship: 0.878 Waterplane: 0.933 RATIOS Length/Beam: 2.504 Displacement/length: 620.855 Beam/Depth: 4.484 MT/ cm Immersion: 0.780 AREAS Waterplane: 76.060 m² Wetted Surface: 113.845 m² Under Water Lateral Plane: 12.433 m² Above Water Lateral Plane: 31.953 m² CENTROIDS (Meters) Buoyancy: LCB = 7.058 fwd TCB =0.023 port VCB = 0.572 Flotation: LCF = 6.663 fwd Under Water LP: 6.745 fwd of Origin, 0.502 below waterline. Above Water LP: 8.987 fwd of Origin, 1.627 above waterline. Note: Coefficients calculated based on length of 14.000 m
145
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.019
Adjusted VCG 2.574
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 3.45a 1.465 -0.010 0.000 0.731
0.38s 3.45a 1.465 0.000 0.000 0.717 Equil
2.00s 3.45a 1.464 0.043 0.001 0.648
4.00s 3.44a 1.461 0.097 0.003 0.553
6.00s 3.41a 1.452 0.146 0.007 0.459
8.00s 3.31a 1.431 0.188 0.013 0.371
10.00s 3.18a 1.403 0.225 0.020 0.287
12.00s 3.03a 1.370 0.259 0.029 0.205
14.00s 2.86a 1.331 0.290 0.038 0.126
16.00s 2.69a 1.290 0.319 0.049 0.047
17.20s 2.58a 1.264 0.337 0.056 0.000 Deck Imm.
18.00s 2.51a 1.245 0.348 0.061 -0.031
20.00s 2.35a 1.199 0.372 0.073 -0.108
22.00s 2.20a 1.152 0.391 0.087 -0.186
24.00s 2.07a 1.102 0.405 0.100 -0.264
26.00s 1.97a 1.052 0.410 0.115 -0.343
26.40s 1.95a 1.042 0.411 0.118 -0.359 MaxRa
28.00s 1.89a 1.003 0.407 0.129 -0.423
30.00s 1.85a 0.955 0.396 0.143 -0.505
32.00s 1.83a 0.909 0.377 0.156 -0.589
34.00s 1.83a 0.863 0.350 0.169 -0.674
36.00s 1.83a 0.817 0.316 0.181 -0.759
38.00s 1.83a 0.771 0.277 0.191 -0.845
40.00s 1.84a 0.725 0.233 0.200 -0.930
42.00s 1.86a 0.679 0.185 0.207 -1.016
44.00s 1.87a 0.632 0.134 0.213 -1.100
46.00s 1.88a 0.585 0.080 0.217 -1.184
48.00s 1.90a 0.538 0.024 0.219 -1.267
48.84s 1.90a 0.518 0.000 0.219 -1.301 RaZero
50.00s 1.91a 0.490 -0.034 0.218 -1.348
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
146
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 0.38 9.63 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.200 0.110 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 16.83 16.83 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 48.46 28.46 Yes
147
5.5.13 LC 25: Crane max. vertical reach, departure, 100% consumables, 5t deck cargo
Floating Status
Draft FP 1.028 m Heel 2.53p deg GM(Solid) 0.932 m
Draft MS 1.255 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.482 m Wind Off GM(Fluid) 0.932 m
Trim 0.45a m Wave No KMT 3.473 m
LCG 7.462f m VCG-Solid 2.543 m TPcm 0.79
Displacement 77.0 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 22.70 6.284f 0.141p 2.950
Displacement 76.95 7.462f 0.042p 2.543
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
148
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 2.250f 1.100p 8.455
CRANE LOAD 10.11M ARM - MAX MOM.
0.90 2.250f 1.520p 15.050
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 61.56 7.718f 0.045p 2.863
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 76.95 7.401f 0.124p 0.679 1.000
SubTotals: 76.95 7.401f 0.124p 0.679
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.804 m at 0.275f Least freeboard (to margin line) is 0.604 m at 0.275f
149
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.453/14.000, heel: port 2.53 deg., VCG = 2.543
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.263 76.954 7.401f 0.679 6.764f 0.79 0.74 13.396 0.932
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.028 at 14.000f, 1.482 at 0.000 Trim: aft 0.453/14.000 Heel: port 2.53 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.826 m Volume: 75.077 m³ Displacement: 76.954 MT COEFFICIENTS Prismatic: 0.713 Block: 0.635 Midship: 0.890 Waterplane: 0.948 RATIOS Length/Beam: 2.504 Displacement/length: 781.567 Beam/Depth: 4.038 MT/ cm Immersion: 0.793 AREAS Waterplane: 77.320 m² Wetted Surface: 114.126 m² Under Water Lateral Plane: 16.363 m² Above Water Lateral Plane: 31.186 m² CENTROIDS (Meters) Buoyancy: LCB = 7.401 fwd TCB =0.124 port VCB = 0.679 Flotation: LCF = 6.764 fwd Under Water LP: 7.200 fwd of Origin, 0.633 below waterline. Above Water LP: 8.998 fwd of Origin, 1.516 above waterline. Note: Coefficients calculated based on length of 14.000 m
150
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.015
Adjusted VCG 2.558
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.86a 1.481 -0.042 0.000 0.717
2.58p 1.85a 1.479 0.000 -0.001 0.602 Equil
5.00p 1.85a 1.475 0.040 0.000 0.481
10.00p 1.68a 1.433 0.110 0.007 0.245
15.00p 1.32a 1.348 0.166 0.019 0.036
15.87p 1.25a 1.330 0.175 0.021 0.000 Deck Imm.
20.00p 0.90a 1.237 0.217 0.035 -0.165
25.00p 0.54a 1.121 0.260 0.056 -0.368
26.20p 0.47a 1.095 0.263 0.062 -0.419 MaxRa
30.00p 0.27a 1.013 0.242 0.079 -0.586
35.00p 0.05a 0.904 0.171 0.097 -0.807
40.00p 0.15f 0.793 0.069 0.108 -1.057
42.93p 0.26f 0.727 0.000 0.110 -1.206 RaZero
45.00p 0.34f 0.679 -0.052 0.109 -1.310
50.00p 0.51f 0.561 -0.183 0.099 -1.553
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
151
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 2.58 7.42 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.109 0.019 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 13.30 13.30 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 40.35 20.35 Yes
152
5.5.14 LC 26: Crane max. vertical reach, arrival, 10% consumables, 5t deck cargo
Floating Status
Draft FP 0.894 m Heel 2.52p deg GM(Solid) 0.898 m
Draft MS 1.078 m Equil Yes F/S Corr. 0.016 m
Draft AP 1.262 m Wind Off GM(Fluid) 0.882 m
Trim 0.37a m Wave No KMT 3.696 m
LCG 7.693f m VCG-Solid 2.799 m TPcm 0.75
Displacement 63.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 8.84 6.087f 0.321p 5.419
Displacement 63.09 7.693f 0.045p 2.799
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
153
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .03 10.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CARGO ON DECK 5.00 5.650f 0.000 3.415
CRANE EXTENDED 2.75 2.250f 1.100p 8.455
CRANE LOAD 10.11M ARM - MAX MOM.
0.90 2.250f 1.520p 15.050
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 61.56 7.718f 0.045p 2.863
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.888f 2.513s 0.189 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.887f 2.520p 0.189 0.0***
Subtotals: 10.00% 0.53 7.887f 0.004p 0.189 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.663f 0.886s 0.081 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.663f 1.064p 0.081 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.764f 2.551p 0.434 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.764f 2.539s 0.434 0.1***
Subtotals: 10.00% 0.97 6.058f 0.043p 0.277 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.910f 1.490p 0.027 0.1***
Subtotals: 10.00% 0.03 6.910f 1.490p 0.027 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.710f 0.060p 0.241 1.1
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 63.10 7.634f 0.143p 0.567 1.000
SubTotals: 63.10 7.634f 0.143p 0.567
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 1.022 m at 0.275f Least freeboard (to margin line) is 0.822 m at 0.275f
154
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.368/14.000, heel: port 2.52 deg., VCG = 2.799
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
1.077 63.095 7.634f 0.567 7.031f 0.75 0.63 13.892 0.882
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.894 at 14.000f, 1.262 at 0.000 Trim: aft 0.368/14.000 Heel: port 2.52 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.826 m Volume: 61.556 m³ Displacement: 63.095 MT COEFFICIENTS Prismatic: 0.685 Block: 0.602 Midship: 0.878 Waterplane: 0.895 RATIOS Length/Beam: 2.504 Displacement/length: 640.814 Beam/Depth: 4.661 MT/ cm Immersion: 0.748 AREAS Waterplane: 73.022 m² Wetted Surface: 105.912 m² Under Water Lateral Plane: 13.910 m² Above Water Lateral Plane: 33.635 m² CENTROIDS (Meters) Buoyancy: LCB = 7.634 fwd TCB =0.143 port VCB = 0.567 Flotation: LCF = 7.031 fwd Under Water LP: 7.342 fwd of Origin, 0.555 below waterline. Above Water LP: 8.827 fwd of Origin, 1.564 above waterline. Note: Coefficients calculated based on length of 14.000 m
155
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.018
Adjusted VCG 2.817
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.57a 1.272 -0.045 0.000 0.927
2.58p 1.51a 1.260 0.000 -0.001 0.820 Equil
5.00p 1.35a 1.233 0.033 0.000 0.719
10.00p 0.92a 1.148 0.091 0.005 0.523
15.00p 0.45a 1.046 0.143 0.015 0.325
20.00p 0.01a 0.932 0.193 0.030 0.128
22.34p 0.19f 0.874 0.213 0.038 0.000 Deck Imm.
25.00p 0.40f 0.802 0.225 0.049 -0.140
26.20p 0.49f 0.768 0.226 0.053 -0.201 MaxRa
30.00p 0.79f 0.651 0.208 0.068 -0.391
35.00p 1.17f 0.494 0.131 0.083 -0.639
40.00p 1.53f 0.334 0.016 0.090 -0.883
40.61p 1.57f 0.315 0.000 0.090 -0.912 RaZero
45.00p 1.89f 0.170 -0.123 0.085 -1.123
50.00p 2.24f 0.004 -0.276 0.068 -1.356
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.1 MT-m was used to adjust the VCG.
156
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 2.58 7.42 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.091 0.001 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 19.77 19.77 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 38.03 18.03 Yes
157
5.5.15 LC 27: Crane max. vertical reach, departure, 100% consumables, no deck cargo
Floating Status
Draft FP 1.007 m Heel 2.22p deg GM(Solid) 1.139 m
Draft MS 1.193 m Equil Yes F/S Corr. 0.000 m
Draft AP 1.380 m Wind Off GM(Fluid) 1.139 m
Trim 0.37a m Wave No KMT 3.620 m
LCG 7.588f m VCG-Solid 2.482 m TPcm 0.79
Displacement 72.0 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 17.70 6.463f 0.181p 2.819
Displacement 71.95 7.588f 0.044p 2.482
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
158
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .33 100.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 2.250f 1.100p 8.455
CRANE LOAD 10.11M ARM - MAX MOM.
0.90 2.250f 1.520p 15.050
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 56.56 7.901f 0.049p 2.814
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 100.00% 2.67 7.920f 2.600s 1.256 0.0***
Tk01_FW.P 1.000 100.00% 2.67 7.920f 2.600p 1.256 0.0***
Subtotals: 100.00% 5.34 7.920f 0.000 1.256 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 100.00% 2.17 7.673f 1.265s 1.073 0.4***
Tk03_FO.P 0.870 100.00% 2.17 7.673f 1.265p 1.073 0.4***
Tk05_FO.P 0.870 100.00% 2.70 3.951f 2.603p 1.484 0.1***
Tk06_FO.S 0.870 100.00% 2.70 3.951f 2.603s 1.484 0.1***
Subtotals: 100.00% 9.74 5.612f 0.000 1.300 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 100.00% 0.33 6.930f 1.395p 0.244 0.1***
Subtotals: 100.00% 0.33 6.930f 1.395p 0.244 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 100.00% 15.40 6.439f 0.029p 1.262 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 71.95 7.539f 0.116p 0.637 1.000
SubTotals: 71.95 7.539f 0.116p 0.637
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 0.920 m at 0.275f Least freeboard (to margin line) is 0.720 m at 0.275f
159
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.373/14.000, heel: port 2.22 deg., VCG = 2.482
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Solid) (m)
1.199 71.954 7.539f 0.637 6.763f 0.79 0.74 14.373 1.139
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 1.007 at 14.000f, 1.380 at 0.000 Trim: aft 0.373/14.000 Heel: port 2.22 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.824 m Volume: 70.199 m³ Displacement: 71.954 MT COEFFICIENTS Prismatic: 0.707 Block: 0.634 Midship: 0.896 Waterplane: 0.946 RATIOS Length/Beam: 2.504 Displacement/length: 730.785 Beam/Depth: 4.304 MT/ cm Immersion: 0.791 AREAS Waterplane: 77.146 m² Wetted Surface: 110.273 m² Under Water Lateral Plane: 15.355 m² Above Water Lateral Plane: 31.747 m² CENTROIDS (Meters) Buoyancy: LCB = 7.539 fwd TCB =0.116 port VCB = 0.637 Flotation: LCF = 6.763 fwd Under Water LP: 7.301 fwd of Origin, 0.601 below waterline. Above Water LP: 8.929 fwd of Origin, 1.523 above waterline. Note: Coefficients calculated based on length of 14.000 m
160
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.016
Adjusted VCG 2.498
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 1.53a 1.380 -0.044 0.000 0.820
2.25p 1.53a 1.378 0.000 -0.001 0.718 Equil
5.00p 1.48a 1.367 0.051 0.000 0.586
10.00p 1.19a 1.305 0.124 0.008 0.369
15.00p 0.76a 1.209 0.189 0.022 0.167
19.19p 0.40a 1.116 0.241 0.038 0.000 Deck Imm.
20.00p 0.33a 1.097 0.251 0.041 -0.032
25.00p 0.08f 0.971 0.310 0.066 -0.242
27.20p 0.24f 0.913 0.317 0.078 -0.359 MaxRa
30.00p 0.43f 0.841 0.305 0.093 -0.506
35.00p 0.75f 0.710 0.243 0.117 -0.768
40.00p 1.04f 0.577 0.147 0.135 -1.025
45.00p 1.32f 0.442 0.030 0.143 -1.275
46.17p 1.38f 0.410 0.000 0.143 -1.332 RaZero
50.00p 1.58f 0.303 -0.101 0.139 -1.517
55.00p 1.83f 0.162 -0.239 0.125 -1.749
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
161
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 2.25 7.75 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.136 0.046 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 16.94 16.94 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 43.93 23.93 Yes
162
5.5.16 LC 28: Crane max. vertical reach, arrival, 10% consumables, no deck cargo
Floating Status
Draft FP 0.905 m Heel 3.20p deg GM(Solid) 0.942 m
Draft MS 1.002 m Equil Yes F/S Corr. 0.018 m
Draft AP 1.099 m Wind Off GM(Fluid) 0.925 m
Trim 0.19a m Wave No KMT 3.687 m
LCG 7.869f m VCG-Solid 2.746 m TPcm 0.68
Displacement 58.1 MT WaterSpgr 1.025
Loading Summary
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
Light Ship 54.26 7.955f 0.000 2.372
Deadweight 3.84 6.660f 0.742p 8.028
Displacement 58.09 7.869f 0.049p 2.746
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER .53 10.00
FUEL OIL .97 10.00
163
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
HYDRO OIL .03 10.00
Fixed Weight Status
Item Weight (MT)
LCG (m)
TCG (m)
VCG (m)
LIGHT SHIP 54.26 7.955f 0.000 2.372
CRANE EXTENDED 2.75 2.250f 1.100p 8.455
CRANE LOAD 10.11M ARM - MAX MOM.
0.90 2.250f 1.520p 15.050
CRANE PARKED POS. -2.75 2.605f 0.600p 3.880
ON BOARD CREW 0.40 11.825f 0.000 3.445
PROVISIONS 1.00 9.450f 0.000 2.950
Total Fixed: 56.56 7.901f 0.049p 2.814
FRESH WATER
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk02_FW.S 1.000 10.00% 0.27 7.903f 2.512s 0.188 0.0***
Tk01_FW.P 1.000 10.00% 0.27 7.902f 2.521p 0.189 0.0***
Subtotals: 10.00% 0.53 7.903f 0.005p 0.188 0.1
FUEL OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk04_FO.S 0.870 10.00% 0.22 7.668f 0.863s 0.082 0.4***
Tk03_FO.P 0.870 10.00% 0.22 7.668f 1.087p 0.082 0.4***
Tk05_FO.P 0.870 10.00% 0.27 4.770f 2.553p 0.434 0.1***
Tk06_FO.S 0.870 10.00% 0.27 4.770f 2.537s 0.434 0.1***
Subtotals: 10.00% 0.97 6.063f 0.055p 0.277 1.0
HYDRO OIL
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Tk07_HO.P 0.924 10.00% 0.03 6.920f 1.513p 0.028 0.1***
Subtotals: 10.00% 0.03 6.920f 1.513p 0.028 0.1
Totals
Tank Name Spgr Load (%) Weight (MT) LCG (m) TCG (m) VCG (m) FSMT (MT-m)
Totals: 10.00% 1.54 6.718f 0.068p 0.241 1.2
Displacer Status
Item Status Spgr Displ (MT)
LCB (m)
TCB (m)
VCB (m)
Perm
Hull.c Intact 1.025 58.09 7.839f 0.173p 0.525 1.000
SubTotals: 58.09 7.839f 0.173p 0.525
FSM Notes ** FSM is predefined. Some FSM values may not be the current calculated FSM. *** Max. FSM is the Maximum Free Surface Moment of any load at the present heel and trim. It may not be the current FSM. Least freeboard is 1.146 m at 0.550f Least freeboard (to margin line) is 0.946 m at 0.550f
164
Hydrostatic Properties Draft is from Baseline. Trim: aft 0.193/14.000, heel: port 3.20 deg., VCG = 2.746
LCF Draft (m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
GML (m)
GM(Fluid) (m)
0.993 58.095 7.839f 0.525 7.594f 0.68 0.46 11.101 0.925
Water Specific Gravity = 1.025. Trim is per 14.00m Baseline Draft: 0.905 at 14.000f, 1.099 at 0.000 Trim: aft 0.193/14.000 Heel: port 3.20 deg. DIMENSIONS Length Overall: 14.575 m LBP: 14.000 m Beam: 5.820 m BWL: 5.829 m Volume: 56.678 m³ Displacement: 58.095 MT COEFFICIENTS Prismatic: 0.695 Block: 0.591 Midship: 0.850 Waterplane: 0.814 RATIOS Length/Beam: 2.504 Displacement/length: 590.032 Beam/Depth: 4.969 MT/ cm Immersion: 0.681 AREAS Waterplane: 66.467 m² Wetted Surface: 93.967 m² Under Water Lateral Plane: 13.177 m² Above Water Lateral Plane: 35.341 m² CENTROIDS (Meters) Buoyancy: LCB = 7.839 fwd TCB =0.173 port VCB = 0.525 Flotation: LCF = 7.594 fwd Under Water LP: 7.584 fwd of Origin, 0.538 below waterline. Above Water LP: 8.713 fwd of Origin, 1.576 above waterline. Note: Coefficients calculated based on length of 14.000 m
165
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Free Surface Adjustment 0.020
Adjusted VCG 2.766
Heel Angle (deg)
Trim Angle (deg)
Origin Depth (m)
Righting Arm (m)
Area (m-Rad)
Freeboard (m)
Notes
0.00 0.90a 1.116 -0.049 0.000 1.084
3.26p 0.79a 1.096 0.000 -0.001 0.943 Equil
5.00p 0.66a 1.073 0.026 -0.001 0.873
10.00p 0.22a 0.987 0.099 0.004 0.674
15.00p 0.23f 0.886 0.169 0.016 0.431
20.00p 0.67f 0.773 0.234 0.034 0.149
22.73p 0.90f 0.703 0.257 0.046 0.000 Deck Imm.
25.00p 1.08f 0.640 0.265 0.056 -0.117
25.80p 1.14f 0.617 0.266 0.060 -0.158 MaxRa
30.00p 1.46f 0.484 0.250 0.079 -0.364
35.00p 1.92f 0.306 0.184 0.098 -0.607
40.00p 2.40f 0.120 0.074 0.110 -0.850
42.84p 2.67f 0.012 0.000 0.111 -0.986 RaZero
45.00p 2.88f -0.070 -0.061 0.110 -1.089
50.00p 3.35f -0.262 -0.212 0.099 -1.322
Weight and C.G. used above include tank loads. The tank load centers were not allowed to shift with heel and trim changes. A Free Surface Moment of 1.2 MT-m was used to adjust the VCG.
166
Limit Min/Max Actual Margin Pass
(1) Absolute Angle at Equilibrium <10.00 deg 3.26 6.74 Yes
(2) Area from Equilibrium to Abs 40.00 deg >0.0900 m-R 0.111 0.021 Yes
(3) Angle at Equilibrium to Deck Immersion =0.00 deg 19.47 19.47 Yes
(4) Angle at Equilibrium to RAzero >20.00 deg 39.58 19.58 Yes
167
6 HYDROSTATIC DATA
6.1 Hydrostatic tables
6.1.1 Trim: aft 1.000/14.000, No heel, VCG = 0.000 Draft is from Baseline.
Draft at 7.000f
(m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
KML (m)
KMT (m)
0.200 8.768 5.264f 0.156 6.895f 0.54 0.16 25.197 36.957
0.400 18.108 6.167f 0.226 7.561f 0.55 0.31 24.172 7.177
0.600 29.633 6.758f 0.314 7.703f 0.60 0.40 18.660 5.216
0.800 42.556 6.953f 0.424 6.708f 0.74 0.73 23.962 5.163
1.000 57.882 6.866f 0.558 6.627f 0.78 0.81 19.636 4.189
1.200 73.463 6.820f 0.678 6.670f 0.79 0.85 16.217 3.575
1.400 89.224 6.797f 0.792 6.710f 0.79 0.89 14.004 3.201
1.600 105.141 6.787f 0.903 6.748f 0.80 0.93 12.403 2.961
1.800 121.165 6.785f 1.010 6.793f 0.81 0.97 11.196 2.807
2.000 136.901 6.807f 1.113 7.515f 0.73 0.77 7.827 2.554
2.200 149.843 6.928f 1.190 8.961f 0.57 0.44 4.096 2.201
2.400 159.544 7.093f 1.247 10.247f 0.44 0.27 2.366 2.128
Water Specific Gravity = 1.025. Trim is per 14.00m
168
Specific Gravity = 1.025 Assumed KG = 0.000 K = Baseline
169
6.1.2 Trim: aft 0.500/14.000, No heel, VCG = 0.000 Draft is from Baseline.
Draft at 7.000f
(m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
KML (m)
KMT (m)
0.200 8.611 6.255f 0.110 7.702f 0.52 0.28 45.606 13.082
0.400 19.608 7.157f 0.200 7.887f 0.57 0.35 25.013 6.959
0.600 31.317 7.432f 0.301 7.903f 0.60 0.39 17.522 5.044
0.800 43.664 7.554f 0.405 7.775f 0.64 0.46 14.686 4.185
1.000 57.043 7.556f 0.518 6.913f 0.75 0.76 18.657 4.123
1.200 72.659 7.386f 0.645 6.752f 0.79 0.86 16.624 3.591
1.400 88.510 7.276f 0.764 6.783f 0.80 0.90 14.254 3.203
1.600 104.505 7.203f 0.878 6.814f 0.80 0.94 12.619 2.959
1.800 120.643 7.153f 0.989 6.842f 0.81 0.99 11.428 2.806
2.000 136.892 7.119f 1.098 6.888f 0.82 1.02 10.466 2.707
2.200 153.046 7.105f 1.203 7.610f 0.74 0.82 7.472 2.510
2.400 164.496 7.228f 1.275 10.261f 0.44 0.28 2.371 2.130
Water Specific Gravity = 1.025. Trim is per 14.00m
Specific Gravity = 1.025 Assumed KG = 0.000 K = Baseline
170
6.1.3 No Trim, No heel, VCG = 0.000
Draft is from Baseline.
Draft at 7.000f
(m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
KML (m)
KMT (m)
0.200 10.377 8.044f 0.102 8.040f 0.54 0.32 42.830 11.399
0.400 21.563 8.044f 0.205 8.049f 0.58 0.36 23.193 6.618
0.600 33.421 8.047f 0.310 8.048f 0.60 0.40 16.572 4.796
0.800 45.701 8.043f 0.415 7.987f 0.63 0.44 13.595 3.916
1.000 58.509 8.022f 0.522 7.831f 0.66 0.52 12.328 3.481
1.200 72.229 7.954f 0.632 7.292f 0.74 0.71 13.818 3.395
1.400 87.997 7.766f 0.752 6.856f 0.80 0.91 14.530 3.215
1.600 104.072 7.628f 0.868 6.885f 0.81 0.95 12.825 2.967
1.800 120.285 7.530f 0.980 6.914f 0.81 1.00 11.598 2.810
2.000 136.637 7.458f 1.090 6.935f 0.82 1.04 10.647 2.712
2.200 153.048 7.402f 1.199 6.936f 0.82 1.07 9.750 2.646
2.400 169.468 7.357f 1.306 0.00
Water Specific Gravity = 1.025. Trim is per 14.00m
Specific Gravity = 1.025 Assumed KG = 0.000 K = Baseline
171
6.1.4 Trim: fwd 0.500/14.000, No heel, VCG = 0.000 Draft is from Baseline.
Draft at 7.000f
(m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
KML (m)
KMT (m)
0.200 12.606 9.324f 0.141 8.233f 0.55 0.32 35.460 9.868
0.400 23.929 8.799f 0.237 8.201f 0.58 0.36 21.247 6.112
0.600 35.828 8.597f 0.339 8.178f 0.61 0.40 15.675 4.539
0.800 48.110 8.488f 0.442 8.150f 0.62 0.44 12.763 3.686
1.000 60.767 8.410f 0.546 8.093f 0.64 0.48 11.155 3.234
1.200 73.952 8.337f 0.652 7.934f 0.67 0.56 10.556 3.031
1.400 88.001 8.240f 0.760 7.515f 0.73 0.72 11.459 3.008
1.600 103.842 8.061f 0.873 6.957f 0.81 0.97 13.068 2.986
1.800 120.128 7.913f 0.985 6.969f 0.82 1.01 11.718 2.823
2.000 136.477 7.799f 1.095 6.957f 0.82 1.04 10.618 2.715
2.200 152.677 7.701f 1.201 6.321f 0.75 0.83 7.618 2.573
2.400 164.315 7.513f 1.274 3.522f 0.42 0.27 2.294 1.979
Water Specific Gravity = 1.025. Trim is per 14.00m
Specific Gravity = 1.025 Assumed KG = 0.000 K = Baseline
172
6.1.5 Trim: fwd 1.000/14.000, No heel, VCG = 0.000 Draft is from Baseline.
Draft at 7.000f
(m)
Displ (MT)
LCB (m)
VCB (m)
LCF (m)
TPcm (MT/cm)
MTcm (MT-m /cm)
KML (m)
KMT (m)
0.200 15.486 10.104f 0.205 8.809f 0.51 0.25 22.371 8.179
0.400 26.624 9.422f 0.290 8.351f 0.58 0.37 19.261 5.533
0.600 38.515 9.083f 0.385 8.298f 0.61 0.41 14.745 4.290
0.800 50.793 8.890f 0.484 8.269f 0.62 0.44 12.205 3.539
1.000 63.403 8.761f 0.584 8.223f 0.64 0.49 10.698 3.130
1.200 76.401 8.662f 0.687 8.143f 0.66 0.54 9.846 2.905
1.400 89.938 8.570f 0.791 7.954f 0.70 0.63 9.748 2.825
1.600 104.269 8.463f 0.896 7.585f 0.74 0.77 10.292 2.816
1.800 120.072 8.295f 1.004 6.991f 0.82 1.01 11.719 2.838
2.000 136.001 8.123f 1.107 6.354f 0.75 0.80 8.225 2.641
2.200 149.235 7.907f 1.188 4.946f 0.58 0.45 4.252 2.276
2.400 159.165 7.680f 1.245 3.531f 0.41 0.26 2.294 1.973
Water Specific Gravity = 1.025. Trim is per 14.00m
Specific Gravity = 1.025 Assumed KG = 0.000 K = Baseline
173
6.2 Cross curves of stability
6.2.1 Trim aft 1.000/14.000 at heel = 0 (RA Trim = 0)
Righting Arms(heel) for VCG = 0.00
Displ (MT) 5.000s 10.000s 15.000s 20.000s 25.000s 30.000s
8.768 0.951s 1.360s 1.700s 1.923s 2.068s 2.163s
18.108 0.751s 1.179s 1.525s 1.761s 1.927s 2.043s
29.633 0.511s 0.977s 1.330s 1.592s 1.782s 1.923s
42.556 0.426s 0.810s 1.155s 1.437s 1.653s 1.821s
57.882 0.374s 0.713s 1.023s 1.302s 1.539s 1.717s
73.463 0.317s 0.635s 0.928s 1.196s 1.421s 1.591s
89.224 0.284s 0.567s 0.848s 1.091s 1.290s 1.441s
105.141 0.261s 0.521s 0.764s 0.972s 1.145s 1.279s
121.165 0.246s 0.477s 0.674s 0.847s 0.990s 1.108s
136.901 0.224s 0.412s 0.578s 0.719s 0.841s 0.947s
149.843 0.192s 0.358s 0.497s 0.619s 0.729s 0.829s
159.544 0.170s 0.311s 0.432s 0.543s 0.648s 0.746s
Displ (MT) 35.000s 40.000s 45.000s 50.000s 55.000s 60.000s
8.768 2.221s 2.246s 2.241s 2.211s 2.160s 2.089s
18.108 2.119s 2.164s 2.182s 2.174s 2.143s 2.088s
29.633 2.027s 2.099s 2.138s 2.145s 2.126s 2.079s
42.556 1.949s 2.033s 2.078s 2.086s 2.064s 2.017s
57.882 1.842s 1.919s 1.958s 1.968s 1.951s 1.913s
73.463 1.705s 1.777s 1.817s 1.831s 1.824s 1.797s
89.224 1.548s 1.620s 1.665s 1.689s 1.693s 1.680s
105.141 1.380s 1.454s 1.508s 1.542s 1.560s 1.562s
121.165 1.207s 1.285s 1.346s 1.392s 1.424s 1.444s
136.901 1.041s 1.122s 1.192s 1.250s 1.295s 1.330s
149.843 0.921s 1.004s 1.078s 1.144s 1.200s 1.246s
159.544 0.837s 0.922s 0.999s 1.069s 1.131s 1.185s
Water Specific Gravity = 1.025.
174
Trim: aft 1.000/14.000 at heel = 0, VCG = 0.00
175
6.2.2 Trim aft 0.500/14.000 at heel = 0 (RA Trim = 0)
Righting Arms(heel) for VCG = 0.00
Displ (MT) 5.000s 10.000s 15.000s 20.000s 25.000s 30.000s
8.611 1.044s 1.482s 1.734s 1.933s 2.066s 2.145s
19.608 0.634s 1.146s 1.490s 1.727s 1.889s 1.998s
31.317 0.447s 0.888s 1.272s 1.544s 1.740s 1.884s
43.664 0.369s 0.739s 1.091s 1.390s 1.614s 1.788s
57.043 0.338s 0.657s 0.964s 1.259s 1.508s 1.705s
72.659 0.315s 0.609s 0.889s 1.158s 1.412s 1.596s
88.510 0.281s 0.563s 0.832s 1.085s 1.296s 1.454s
104.505 0.260s 0.521s 0.779s 0.997s 1.165s 1.296s
120.643 0.247s 0.491s 0.708s 0.881s 1.020s 1.134s
136.892 0.237s 0.447s 0.614s 0.749s 0.866s 0.968s
153.046 0.204s 0.363s 0.492s 0.607s 0.712s 0.809s
164.496 0.157s 0.280s 0.393s 0.502s 0.605s 0.703s
Displ (MT) 35.000s 40.000s 45.000s 50.000s 55.000s 60.000s
8.611 2.183s 2.189s 2.168s 2.127s 2.069s 1.999s
19.608 2.069s 2.111s 2.128s 2.126s 2.106s 2.066s
31.317 1.989s 2.066s 2.115s 2.129s 2.109s 2.060s
43.664 1.924s 2.016s 2.061s 2.068s 2.046s 1.998s
57.043 1.841s 1.922s 1.962s 1.971s 1.953s 1.913s
72.659 1.714s 1.788s 1.828s 1.843s 1.834s 1.806s
88.510 1.563s 1.636s 1.681s 1.703s 1.706s 1.692s
104.505 1.398s 1.474s 1.527s 1.560s 1.576s 1.576s
120.643 1.229s 1.306s 1.366s 1.412s 1.442s 1.459s
136.892 1.059s 1.138s 1.206s 1.262s 1.306s 1.339s
153.046 0.899s 0.981s 1.055s 1.120s 1.177s 1.225s
164.496 0.795s 0.882s 0.961s 1.033s 1.098s 1.154s
Water Specific Gravity = 1.025.
176
Trim: aft 0.500/14.000 at heel = 0, VCG = 0.00
177
6.2.3 Trim zero at heel = 0 (RA Trim = 0)
Righting Arms(heel) for VCG = 0.00
Displ (MT) 5.000s 10.000s 15.000s 20.000s 25.000s 30.000s
10.377 0.988s 1.522s 1.777s 1.926s 2.019s 2.073s
21.563 0.568s 1.097s 1.444s 1.673s 1.832s 1.942s
33.421 0.418s 0.823s 1.206s 1.487s 1.689s 1.838s
45.701 0.341s 0.688s 1.031s 1.338s 1.571s 1.750s
58.509 0.304s 0.614s 0.919s 1.214s 1.469s 1.666s
72.229 0.292s 0.572s 0.849s 1.121s 1.377s 1.565s
87.997 0.281s 0.547s 0.805s 1.059s 1.275s 1.437s
104.072 0.260s 0.521s 0.772s 0.991s 1.158s 1.289s
120.285 0.247s 0.494s 0.723s 0.892s 1.026s 1.137s
136.637 0.238s 0.465s 0.633s 0.767s 0.881s 0.980s
153.048 0.228s 0.385s 0.510s 0.621s 0.724s 0.819s
169.468 0.114s 0.227s 0.338s 0.447s 0.552s 0.653s
Displ (MT) 35.000s 40.000s 45.000s 50.000s 55.000s 60.000s
10.377 2.097s 2.096s 2.073s 2.032s 1.978s 1.914s
21.563 2.016s 2.062s 2.084s 2.088s 2.071s 2.029s
33.421 1.949s 2.029s 2.076s 2.088s 2.068s 2.018s
45.701 1.885s 1.973s 2.017s 2.025s 2.004s 1.957s
58.509 1.800s 1.881s 1.922s 1.931s 1.915s 1.877s
72.229 1.688s 1.764s 1.806s 1.821s 1.813s 1.786s
87.997 1.549s 1.623s 1.669s 1.693s 1.696s 1.682s
104.072 1.392s 1.469s 1.522s 1.555s 1.571s 1.571s
120.285 1.229s 1.305s 1.366s 1.411s 1.441s 1.456s
136.637 1.067s 1.144s 1.209s 1.263s 1.306s 1.338s
153.048 0.906s 0.986s 1.058s 1.121s 1.176s 1.222s
169.468 0.749s 0.839s 0.923s 1.000s 1.069s 1.131s
Water Specific Gravity = 1.025.
178
Trim: zero at heel = 0, VCG = 0.00
179
6.2.4 Trim fwd 0.500/14.000 at heel = 0 (RA Trim = 0)
Righting Arms(heel) for VCG = 0.00
Displ (MT) 5.000s 10.000s 15.000s 20.000s 25.000s 30.000s
12.606 0.892s 1.396s 1.669s 1.834s 1.937s 2.000s
23.929 0.544s 1.032s 1.378s 1.606s 1.767s 1.882s
35.828 0.401s 0.791s 1.148s 1.428s 1.634s 1.789s
48.110 0.327s 0.657s 0.987s 1.286s 1.525s 1.707s
60.767 0.288s 0.583s 0.884s 1.175s 1.428s 1.615s
73.952 0.270s 0.543s 0.818s 1.091s 1.330s 1.510s
88.001 0.266s 0.523s 0.777s 1.020s 1.230s 1.391s
103.842 0.261s 0.511s 0.749s 0.956s 1.124s 1.258s
120.128 0.247s 0.493s 0.707s 0.873s 1.005s 1.115s
136.477 0.238s 0.455s 0.626s 0.760s 0.872s 0.969s
152.677 0.210s 0.374s 0.505s 0.619s 0.723s 0.818s
164.315 0.163s 0.285s 0.398s 0.506s 0.609s 0.706s
Displ (MT) 35.000s 40.000s 45.000s 50.000s 55.000s 60.000s
12.606 2.035s 2.046s 2.036s 2.011s 1.973s 1.914s
23.929 1.964s 2.019s 2.049s 2.049s 2.023s 1.976s
35.828 1.906s 1.982s 2.021s 2.029s 2.007s 1.960s
48.110 1.833s 1.915s 1.956s 1.964s 1.945s 1.902s
60.767 1.743s 1.822s 1.864s 1.875s 1.862s 1.827s
73.952 1.632s 1.709s 1.753s 1.771s 1.766s 1.741s
88.001 1.504s 1.581s 1.629s 1.654s 1.659s 1.647s
103.842 1.361s 1.437s 1.491s 1.525s 1.542s 1.544s
120.128 1.208s 1.284s 1.343s 1.387s 1.417s 1.434s
136.477 1.055s 1.130s 1.195s 1.249s 1.291s 1.323s
152.677 0.906s 0.985s 1.056s 1.119s 1.173s 1.218s
164.315 0.798s 0.884s 0.963s 1.035s 1.099s 1.154s
Water Specific Gravity = 1.025.
180
Trim: fwd 0.500/14.000 at heel = 0, VCG = 0.00
181
6.2.5 Trim fwd 1.000/14.000 at heel = 0 (RA Trim = 0)
Righting Arms(heel) for VCG = 0.00
Displ (MT) 5.000s 10.000s 15.000s 20.000s 25.000s 30.000s
15.486 0.847s 1.239s 1.521s 1.705s 1.829s 1.914s
26.624 0.543s 0.985s 1.299s 1.532s 1.700s 1.825s
38.515 0.393s 0.776s 1.106s 1.372s 1.580s 1.740s
50.793 0.320s 0.641s 0.960s 1.242s 1.479s 1.653s
63.403 0.280s 0.565s 0.857s 1.144s 1.379s 1.553s
76.401 0.259s 0.524s 0.795s 1.058s 1.277s 1.444s
89.938 0.251s 0.504s 0.754s 0.977s 1.175s 1.327s
104.269 0.251s 0.493s 0.710s 0.902s 1.066s 1.202s
120.072 0.248s 0.471s 0.661s 0.822s 0.957s 1.070s
136.001 0.225s 0.424s 0.591s 0.726s 0.841s 0.941s
149.235 0.196s 0.373s 0.515s 0.635s 0.742s 0.838s
159.165 0.179s 0.322s 0.443s 0.554s 0.658s 0.754s
Displ (MT) 35.000s 40.000s 45.000s 50.000s 55.000s 60.000s
15.486 1.972s 2.004s 2.014s 1.997s 1.950s 1.879s
26.624 1.917s 1.976s 1.998s 1.990s 1.958s 1.907s
38.515 1.852s 1.919s 1.952s 1.957s 1.937s 1.893s
50.793 1.769s 1.845s 1.885s 1.894s 1.877s 1.839s
63.403 1.675s 1.752s 1.794s 1.808s 1.798s 1.768s
76.401 1.563s 1.640s 1.686s 1.706s 1.705s 1.684s
89.938 1.437s 1.515s 1.565s 1.593s 1.601s 1.593s
104.269 1.305s 1.381s 1.435s 1.471s 1.491s 1.496s
120.072 1.165s 1.243s 1.303s 1.348s 1.379s 1.397s
136.001 1.029s 1.106s 1.173s 1.228s 1.271s 1.303s
149.235 0.925s 1.004s 1.074s 1.136s 1.188s 1.230s
159.165 0.844s 0.927s 1.002s 1.070s 1.129s 1.180s
Water Specific Gravity = 1.025.
182
Trim: fwd 1.000/14.000 at heel = 0, VCG = 0.00
183
6.3 Hull form coefficients Baseline Draft: 1.500 Trim: zero Heel: zero
Hull Form Coefficients (with appendages)
Draft Volume Coefficients WS Area
m m³ Cp Cb Cms Cwp Cvp Cws m²
0.250 12.78 0.682 0.627 0.920 0.658 0.954 4.281 57.27
0.500 26.77 0.692 0.657 0.950 0.710 0.925 3.401 65.84
0.750 41.55 0.703 0.680 0.967 0.742 0.917 3.090 74.54
1.000 57.08 0.718 0.701 0.975 0.791 0.886 2.997 84.72
1.250 74.19 0.743 0.728 0.980 0.938 0.776 3.231 104.14
1.500 93.68 0.779 0.766 0.983 0.962 0.796 3.164 114.57
1.750 113.38 0.807 0.795 0.986 0.973 0.818 3.111 123.96
2.000 133.30 0.828 0.818 0.988 0.982 0.833 3.088 133.40
2.250 153.32 0.846 0.836 0.989 0.983 0.851 3.081 142.76
NOTE: Coefficients are based on L: 14.000 m B: 5.820 m
184
7 VCG LIMITING CURVES
7.1 VCG limiting curves for intact stability
7.1.1 Trim = aft 1.000/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000
(m)
Max.VCG (m)
Limit 1 (m-R)
Limit 2 (m-R)
Limit 3 (m-R)
Limit 4 (m)
Limit 5 (deg)
Limit 6 (m)
39.0 0.75 3.121 <N/A> 0.018 0.000 0.082 3.80 1.647
57.9 1.00 2.903 <N/A> 0.020 0.000 0.066 7.80 1.139
77.4 1.25 2.598 <N/A> 0.009 0.000 0.056 8.20 0.719
97.2 1.50 2.240 <N/A> 0.008 0.000 0.037 8.80 0.681
117.1 1.75 1.843 <N/A> 0.000 0.001 0.019 7.60 0.849
136.9 2.00 1.462 <N/A> 0.003 0.003 0.000 10.00 0.945
152.6 2.25 1.175 <N/A> 0.015 0.006 0.000 29.40 0.800
7.1.2 Trim = aft 0.500/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000
(m)
Max.VCG (m)
Limit 1 (m-R)
Limit 2 (m-R)
Limit 3 (m-R)
Limit 4 (m)
Limit 5 (deg)
Limit 6 (m)
40.5 0.75 3.067 <N/A> 0.010 0.000 0.073 4.80 1.123
57.0 1.00 2.889 <N/A> 0.010 0.000 0.055 9.00 1.085
76.6 1.25 2.615 <N/A> 0.015 0.000 0.054 10.80 0.710
96.5 1.50 2.277 <N/A> 0.001 0.000 0.037 7.80 0.640
116.6 1.75 1.871 <N/A> 0.000 0.004 0.038 6.60 0.817
136.9 2.00 1.472 <N/A> 0.000 0.007 0.027 6.60 1.085
156.5 2.25 1.139 <N/A> 0.019 0.006 0.000 37.40 1.064
7.1.3 Trim = zero at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000
(m)
Max.VCG (m)
Limit 1 (m-R)
Limit 2 (m-R)
Limit 3 (m-R)
Limit 4 (m)
Limit 5 (deg)
Limit 6 (m)
42.6 0.75 2.998 <N/A> 0.008 0.000 0.068 6.00 0.914
58.5 1.00 2.810 <N/A> 0.009 0.000 0.053 10.40 0.521
76.0 1.25 2.561 <N/A> 0.009 0.000 0.047 11.20 0.750
96.0 1.50 2.252 <N/A> 0.001 0.000 0.034 8.20 0.674
116.2 1.75 1.843 <N/A> 0.001 0.007 0.053 6.00 0.850
136.6 2.00 1.476 <N/A> 0.000 0.008 0.042 5.60 1.087
157.2 2.25 1.156 <N/A> 0.026 0.005 0.000 25.60 1.329
185
7.1.4 Trim = fwd 0.500/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000
(m)
Max.VCG (m)
Limit 1 (m-R)
Limit 2 (m-R)
Limit 3 (m-R)
Limit 4 (m)
Limit 5 (deg)
Limit 6 (m)
45.0 0.75 2.910 <N/A> 0.009 0.000 0.068 7.00 0.810
60.8 1.00 2.707 <N/A> 0.005 0.000 0.052 10.20 0.377
77.4 1.25 2.454 <N/A> 0.003 0.000 0.040 10.60 0.408
95.7 1.50 2.166 <N/A> 0.005 0.000 0.029 9.40 0.782
116.0 1.75 1.792 <N/A> 0.000 0.006 0.045 6.00 0.917
136.5 2.00 1.434 <N/A> 0.001 0.009 0.045 5.80 1.131
156.2 2.25 1.156 <N/A> 0.022 0.006 0.001 25.20 1.113
7.1.5 Trim = fwd 1.000/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000
(m)
Max.VCG (m)
Limit 1 (m-R)
Limit 2 (m-R)
Limit 3 (m-R)
Limit 4 (m)
Limit 5 (deg)
Limit 6 (m)
47.7 0.75 2.799 <N/A> 0.016 0.000 0.071 8.00 0.732
63.4 1.00 2.583 <N/A> 0.003 0.000 0.050 9.40 0.398
79.7 1.25 2.323 <N/A> 0.001 0.000 0.036 9.80 0.418
97.0 1.50 2.033 <N/A> 0.007 0.000 0.024 10.00 0.638
116.0 1.75 1.707 <N/A> 0.000 0.003 0.019 7.20 1.020
136.0 2.00 1.370 <N/A> 0.000 0.006 0.020 7.60 1.124
152.0 2.25 1.180 <N/A> 0.021 0.005 0.000 17.00 0.869
7.1.6 Trim = fwd 1.250/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000
(m)
Max.VCG (m)
Limit 1 (m-R)
Limit 2 (m-R)
Limit 3 (m-R)
Limit 4 (m)
Limit 5 (deg)
Limit 6 (m)
49.1 0.75 2.736 <N/A> 0.021 0.000 0.071 8.40 0.732
64.8 1.00 2.513 <N/A> 0.001 0.000 0.048 8.60 0.443
81.1 1.25 2.250 <N/A> 0.001 0.000 0.035 9.40 0.439
98.1 1.50 1.958 <N/A> 0.008 0.000 0.021 10.20 0.629
116.2 1.75 1.641 <N/A> 0.000 0.001 0.005 8.40 0.977
134.8 2.00 1.324 <N/A> 0.002 0.005 0.010 9.00 1.048
149.7 2.25 1.182 <N/A> 0.021 0.005 0.000 15.20 0.824
NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014
Limit Min/Max
(1) Area from 0.00 deg to MaxRA at 15.00 >0.0700 m-R
(2) Area from 0.00 deg to MaxRA at 30.00 >0.0550 m-R
(3) Area from 30.00 deg to 40.00 or Flood >0.0300 m-R
(4) Righting Arm at 30.00 deg >0.200 m
(5) Absolute Angle at MaxRA >15.00 deg
(6) GM Upright >0.150 m
186
187
7.2 VCG limiting curves for towing operations
Calculation of heeling moment for towing vessel subject to a transverse force of 65% of the maximum bollard pull.
Maximum bollard pull of 15t.
7.2.1 Trim = aft 1.000/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000 (m)
Max.VCG (m)
Limit 1 Limit 2 Limit 3 Limit 4
39.0 0.75 *3.215 0.9% 39.8% 185.7% 16.4°
57.9 1.00 *3.059 0.1% 21.9% 124.4% 6.8°
77.4 1.25 2.810 0.1% 10.9% 114.6% 80.0°
97.2 1.50 *2.483 0.0% 0.3% 104.1% 85.0°
117.2 1.75 *0.000 0.0% 0.3% 104.1% 85.0°
136.9 2.00 *0.000 0.0% 0.3% 104.1% 85.0°
152.6 2.25 *0.000 0.0% 0.3% 104.1% 85.0°
7.2.2 Trim = aft 0.500/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000 (m)
Max.VCG (m)
Limit 1 Limit 2 Limit 3 Limit 4
40.5 0.75 *3.132 1.2% 7.5% 142.4% 19.6°
57.0 1.00 *2.959 42.4% 0.6% 105.4% 11.4°
76.6 1.25 2.783 0.0% 5.7% 83.4% 3.2°
96.5 1.50 2.517 0.0% 0.1% 100.3% 80.0°
116.6 1.75 *2.178 17.7% 0.1% 115.7% 85.0°
136.9 2.00 *0.000 17.7% 0.1% 115.7% 85.0°
156.5 2.25 *0.000 17.7% 0.1% 115.7% 85.0°
7.2.3 Trim = zero at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000 (m)
Max.VCG (m)
Limit 1 Limit 2 Limit 3 Limit 4
42.6 0.75 3.041 19.1% 0.1% 126.4% 14.8°
58.5 1.00 2.878 34.1% 0.1% 90.4% 6.6°
76.0 1.25 2.686 32.7% 0.0% 51.7% 2.7°
96.0 1.50 2.464 28.5% 0.0% 107.0% 3.2°
116.2 1.75 2.192 11.5% 0.0% 125.1% 1.1°
136.6 2.00 *1.818 83.2% 2.4% 153.7% 90.0°
157.2 2.25 *0.000 83.2% 2.4% 153.7% 90.0°
7.2.4 Trim = fwd 0.500/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000 (m)
Max.VCG (m)
Limit 1 Limit 2 Limit 3 Limit 4
45.0 0.75 2.952 25.0% 0.0% 118.0% 11.0°
60.8 1.00 *2.782 39.5% 0.6% 94.8% 3.6°
77.4 1.25 *2.570 54.5% 0.1% 99.0% 80.0°
95.7 1.50 2.360 26.6% 0.0% 92.5% 80.0°
116.0 1.75 *2.118 22.4% 0.9% 124.0% 85.0°
136.5 2.00 *0.000 22.4% 0.9% 124.0% 85.0°
156.2 2.25 *0.000 22.4% 0.9% 124.0% 85.0°
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7.2.5 Trim = fwd 1.000/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000 (m)
Max.VCG (m)
Limit 1 Limit 2 Limit 3 Limit 4
47.7 0.75 *2.875 0.9% 6.6% 106.1% 8.0°
63.4 1.00 *2.681 34.5% 7.3% 96.2% 0.9°
79.7 1.25 *2.451 55.4% 0.4% 102.0% 80.0°
97.0 1.50 2.218 26.2% 0.0% 83.9% 85.0°
116.0 1.75 *0.000 26.2% 0.0% 83.9% 85.0°
136.0 2.00 *0.000 26.2% 0.0% 83.9% 85.0°
152.0 2.25 *0.000 26.2% 0.0% 83.9% 85.0°
7.2.6 Trim = fwd 1.250/14.000 at zero heel (Trim righting arm held at zero)
Intact Displ (MT)
Intact Draft At -7.000 (m)
Max.VCG (m)
Limit 1 Limit 2 Limit 3 Limit 4
49.1 0.75 *2.828 1.8% 20.3% 112.4% 6.8°
64.8 1.00 2.609 68.4% 9.6% 124.8% 0.1°
81.1 1.25 *2.389 49.2% 0.2% 100.2% 80.0°
98.1 1.50 *2.146 11.9% 4.8% 69.9% 85.0°
116.2 1.75 *0.000 11.9% 4.8% 69.9% 85.0°
134.8 2.00 *0.000 11.9% 4.8% 69.9% 85.0°
149.7 2.25 *0.000 11.9% 4.8% 69.9% 85.0°
Notes: MaxVcg marked with * means that this vcg is the nearest maxvcg data Autohydro can find. There is no exact solution. Please use ra /lim command to verify the result. NORWEGIAN MARITIME AUTHORITY // NO. 1853 // 19-DEC-2014 Limit Min/Max (1) Area from Equilibrium to Abs 40.00 deg >0.0100 m-R (2) Area from Equilibrium to MaxRA >0.0100 m-R (3) Area from Equilibrium to RAzero >0.0100 m-R (4) Angle from Equilibrium to Deck Immersion >0.00 deg
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Max. VCG vs. Displacement
Displacement
MAXVCG m
50.0 100.0 150.0
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5Trim 8.13°a
Trim 6.12°a
Trim 4.09°a
Trim 2.05°a
Trim 0.00°
Trim 2.05°f
Trim 4.09°f
Trim 5.10°f
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8 NOTES ON STABILITY
One of the main duties of the master is to ensure that the vessel is stable during all operations. The information in this chapter is meant as a guidance to the user, and a help to better understand and use the information contained in the stability manual.
8.1 Stability – definition A vessel with good stability will straighten itself quickly at moderate heeling angles and will sustain larger heeling angles without capsizing. The vessels stability is dependent on two factors:
- The vessels inherent stability due to the hull shape - The stability the crew imposes on the vessel
The inherent stability of the vessel is given and cannot be changed without changing the hull shape. Safe operation of the vessel is dependent on how the vessel is loaded, what weather conditions it is subject to, and how equipment onboard is used.
8.2 Buoyancy and center of gravity For calculating static stability only two forces are relevant, buoyancy and gravity. Buoyancy is the force that keeps the vessel afloat. It is acting upwards thought the center of the submerged volume of the hull. Gravity acts downwards through the vessels center of gravity.
The gravity force, G, acts through the centre of gravity of the vessel.
The buoyancy force B, acts throguh the centre of the underwater volume of the hull
The point/center through which the buoyancy acts depends on the hull shape. It is normally referred to as B. The point/center of gravity is referred to as G. The center of gravity of the vessel changes with the amount of cargo and consumables onboard and their location.
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Cargo placed low yields an overall low centre of gravity
Cargo placed high yields an overall high centre of gravity
Weights (cargo and consumables) placed below the vessels center of gravity will move the center of gravity down. Weights placed above the vessels center of gravity will move the center of gravity up.
Center of buoyancy will move as the vessel heels.
Gravity will always act through the center of gravity.
Buoyancy is constant for a given displacement and will always be equal to the weight of the vessel. The point the buoyancy acts through will move when the vessel trims or heels, so that it always is situated at the center of the submerged volume of the hull. To find a simple relation to express stability, the points B (center of buoyancy) and G (center of gravity) is used. The horizontal distance from the center of gravity G to the center of buoyancy B gives a measure of the vessels ability to recover stability and is called metacentric height. The buoyancy and gravity create a moment that straightens the vessel. The arm of this moment is GZ.
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The righting arm, GZ, is the horizontal distance between B and G.
K is the keel, and KG is thus the distance to the center of gravity.
8.3 The GZ-curve The GZ-curve is a key parameter in vessel stability theory. It is possible to calculate the size of the righting arm for different heeling angles. By plotting these values in a graph, one gets the GZ-curve. The GZ-curve serves as a tool for finding the righting arm at different heel angles and checking stability criteria to ensure class/authority compliance. There are mainly four dimensions that describe the stability: - Maximum righting arm (max GZ) trim - The span of the curve (range of stability) - Area below the curve - GM (metacentric height)
GZ curve
The righting arm (GZ) is a measure of the vessel’s ability to return to the upright position on its own when subject to wind, waves or other external forces. The range of stability is a measure of how much the vessel can heel before it capsizes.
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The shape of the curve will vary from vessel to vessel depending on the hull shape and how it is loaded (center of gravity). Common for all vessels in all loading conditions is that they need to satisfy the same stability requirements. It is thus appropriate to look at the area below the GZ-curve. The area below the curve is a measure of the restoring energy of the vessel.
8.4 GM (the metacentric height)
GM is a measure of the vessels stability in upright position
GM (metacentric height) is the distance from G (centre of gravity) to M (metacenter) which is an imagined point. It is placed in the crossing between the VCG line (vertical centre of gravity) and the vertical line through B (centre of buoyancy). GM is a way of expressing the vessels stability at small heeling angles. GM can be determined by using the
slope of the GZ-curve at 0. The height of this slope at 57,3 (1 radian) is the vessels GM for the present loading condition. A high GM value is an expression for good stability and a stiff vessel. A low GM value results in slower roll motions and indicates poorer stability. GM is not a suitable measure of stability at large heel angels.
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8.5 Loading conditions It is necessary to carry out a table of loads to determine the displacement and the centre of gravity for a loading condition. One is able to determine which pre-calculated loading condition is most representative for the current loading condition by use of a set of loading conditions and an empty example.
Tank Group Weight (MT) Load% Tank Group Weight (MT) Load%
FRESH WATER 5.34 100.00
FUEL OIL 9.74 100.00
HYDRO OIL .33 100.00
This method may be used to obtain the position of the centre of gravity and thereby the stability of the vessel. The weight and centre of gravity for all tanks, loads and equipment are required to be known. Use the vessels stability manual as reference for such calculations. These values can be put into to the KG-curves when the vessels displacement and centre of gravity are calculated by use of this method. See example of usage of VCG curve in the stability manual.
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8.6 Relationships which have impact on the vessels stability
8.6.1 The centre of gravity of the loads
A high centre of gravity will result in a degraded stability. When loading the vessel, the centre of gravity is moved. The vessels vertical centre will move up if the load is put for example on deck or somewhere else high in vessel. The centre of gravity will be lowered if the load is placed somewhere low in the vessel.
A load placed low in the vessel will result in a lowered VCG and thereby an increased GM
A load placed high in the vessel will result in a raised centre of gravity and thereby a decreased GM
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Any consumption of fuel or fresh water will have an impact on vessel’s stability. By removing a weight placed low in the vessel, the centre of gravity will rise.
8.6.2 Use of cranes and lifting beams
Loading operations may have significant impact on the vessels stability. The vertical centre of gravity will rise and be displaced in the direction of the crane. An important issue with respect to stability during loading operations is the position of the crane. The load will affect the stability with a moment arm equal the distance from VCG and to the top of the crane where the wire is suspended. The effect on the stability when the crane carries the full load of an item will be same as if the item is hanging at the top of the crane. This means that the vertical position of the item is irrelevant as long as the crane carries the full weight. Below is a vessels GZ-curve during a crane lifting operations shown.
Before lifting starts, the vessel has good stability with a large area below the GZ-curve.
The figure shows the situation when the crane carries the full load while it is positioned at the ship’s side.
Notice that the maximum righting arm is significantly reduced.
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This is almost the same situations as shown above. The crane is now positioned at the ships centre line. There is no heeling present. However, the ships righting arm is still reduced due to the high centre of gravity.
The weight of the load is now carried by the ship structure approximately at the ships centre of gravity.
The GZ-curve is now back to where we started.
The centre of gravity will be lowered if the load is positioned below the previous centre of gravity and vice versa if the load is placed above the centre of gravity.
8.6.3 Free surface effect
The unfavourable effects that partly filled tanks have on the ships stability is called the free surface effect. All loads with liquid properties will to some degree displace to the side which the vessel is heeling. The loads’ centre of gravity (which could be fuel, fresh water, ballast etc.) moves with the vessels motions. To simplify this, the free surface effect is treated as an elevation of the centre of gravity. The most important parameter, when assessing the free surface effect is the breadth of the tank or the space where the liquid is located.
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The vessels cargo space and bunker tanks are completely full.
This results in a low centre of gravity and thereby a large area under the GZ-curve. The range of the stability and the maximum righting arm is satisfying.
Now there is a free surface present in the cargo space. The common centre of gravity of the vessel is still elevated though the centre of gravity of the load is lower.
This is due to the free surface effect.
The centre of gravity of the vessel will always be raised when the vessel starts to consume fuel from full bunkers tank, no matter where the tanks are placed in the vessel. This is due to the free surface effect.
8.6.4 Roll reduction tank
The purpose of the roll reduction tank is to make it more comfortable to be onboard the vessel by reducing the vessels stiffness. As explained earlier, reduced stiffness will always result in a degraded stability. The roll reduction tank has a large free surface which creates a corresponding free surface effect and thereby gives the contribution to degrading stability. It's therefore misleading to speak of the roll reduction tank as a "stability tank".
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8.6.5 Icing
The effect of icing is normally that the centre of gravity is moved up and sideways, in addition to decreased freeboard. Stability calculations for vessel with icing has to be carried out if the vessel likely will operate in waters where icing conditions may occur. The calculations may result in various loading limitations as for example: required drainage of roll reduction tank, extra water ballast or reduced loading capability under icing conditions. However, the crew should always show attention to all signs which may indicate increased likelihood of ice formation and strive to prevent icing to occur.
As a general rule, icing may occur if the air temperature is below -2C. Low temperatures, high wind velocity and sea spray are all factors which contributes to increasing risk of ice formation. A change of speed and course may reduce or even avoid ice formations. Ice does not form on smooth surfaces. It's therefore recommend to cover ship equipment on deck with tarpaulin.
8.6.6 Flooding
The vessel design determines whether the vessel in loaded condition will have sufficient area below the GZ-curve, and thereby good stability capabilities or not. However, these properties may be irrelevant if the vessel starts to take in water. A vessel with an open side hatch is flooded as soon as the hatch reaches sea level. The shape of the GZ-curve will be the same, but it is ended at heel angle which the hatch reaches sea level. The stability will be lost for all other heel angles after flooding has occurred. A large area under the GZ-curve may be of no use if flooding already has started.
Heeling of approximately 35, the righting arm is 0.57, and the vessel will recover immediately
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The vessel has no righting arm since the side hatch is left open.
There is a great risk of capsizing which may ultimately lead to a total loss.
It is important to keep hatches and doors which can lead to flooding weathertightly closed, especially in harsh weather. If there’s a rule to keep the vessel watertight, the vessel’s safety may be increased significantly.
8.6.7 Reserve of buoyancy
A closed superstructure will lead to a large increase in stability performances. The area below the GZ-curve, the range of the stability and the maximum righting arm are increased.
A large watertight deck house contributes to good stability
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The same vessel is here shown without a deck house. The range of stability is reduced and the vessel’s stability at large angles is reduced.
8.6.8 Change in draught
A vessel will often roll slower when it floats at a larger draught. Somebody may think that slow rolling indicates good stability, while in reality it’s a sign of the opposite. Increased draught may be interpreted as something which increase the stability of the vessel if the centre of gravity remains at the same position. However, this is not the situation. A reduction in draught will result in reductions of all the four important stability parameters (max GZ, width of the GZ-curve, area below the GZ-curve and the GM). The effect of overloading of the vessel is comparable to effect of lost reserve buoyancy.
Large freeboard implies good stability
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Increased draught and reduced freeboard reduce stability. Righting arm is reduced and therefore the area below the curve is reduced.
8.6.9 Change in trim
A small heel which normally isn't any problem can be dangerous if the vessel is loaded more aft than normal, or if the only fuel and fresh water left is positioned astern in the vessel. A trim too large will increase the risk of flooding through hatches or other openings in the hull. A trim forward can also be dangerous for a vessel with a flat-bottomed stern region, low bow height or with little or none rake of keel. The vessels stability may suffer a sudden reduction if the stern of a flat-bottomed vessel is lifted above the sea, as may happen in following waves. Low bow height increases the risk of getting large amounts of water on deck. This water will have a high centre of gravity and as a result the vessel may trim forward with its nose down into a wave. The sum of these events lead to reduced stability. The vessel may be hard to manoeuvre if the vessel’s forward trim is combined with little rake of keel. The area below the GZ-curve will be reduced to some extent if the vessel is trimmed astern due to reduction of max GZ. The stability range is slightly increased, though total stability is reduced.
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The vessel has no trim and thereby good stability
If the vessel is trimmed astern, the righting arm may be reduced over the stability range and therefore reduce the area below the curve.
8.6.10 Water on deck
Accumulation of water on deck should always be avoided during normal operation of the vessel.
The vessel is in even condition with good overall stability
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Water on deck. The vessels centre of gravity is raised and the draught is increased. The free surface effect which occurs will contribute to additional degraded stability.
The result is a significantly reduced righting arm (max GZ), small range of stability and a corresponding reduced area below the curve. The vessel will have a reduced ability to withstand wind and waves. Heeling angles larger
than 40 degree will result in capsizing if the water isn't drained. Measures to avoid water on deck is to reduce trim, decrease draught, increase the area of the drainage ports or change speed and course.
8.6.11 Following seas
High speeds in following seas can lead to "burying" the stern in waves and therefore reducing the vessel’s stability. In the case of vessels with marginal stability, this can lead to capsizing.
Vessel with good stability in calm sea
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A large part of the hull which normally is submerged will be kept out of the water if the wave length (distance for one wave top to the next) is twice as long as the vessel itself and has the same speed as the vessel. Under these circumstances only a fraction of the hull will maintain its stability. The result will be a major reduction in the area under the GZ-curve. The situation will escalate if the vessel has a forward trim.
The vessel surfs on a wave. You may notice the reduction of area below the GZ, max GZ and the stability range. The reduction is dependent on hull geometry.
The speed may be reduced, or the course changed to avoid problems with following waves.
8.6.12 Towing
The vessel which is towing may experience heeling if the towing object is drifting out to a side. The heel will be dependent of the following variables.
• Direct transverse force from object being towed.
• The angle of towing line with respect to the longitudinal direction.
• The towing vessel will experience a heeling moment if the vessel is dragged transversely because of towing. This is due to drag forces along the hull.
• All use of thrusters or conventional propellers with rudders to align the drag, introduces the risk of a heeling moment in the same direction as the transverse force from the drag.
All deck load onboard the towing vessel has to be adequately secured against displacement during towing. All loads are to be positioned in such a way that does not conflict with the towing arrangement and the crew’s safety. The towing line should not be allowed to displace. The towing arrangement should be equipped with a quick release mechanism which can be operated from different positions. The mechanism is to be designed not to compromise the crew’s safety in case of rupture of towing line or quick release. The towing gear should be mounted as low as possible to improve the vessels stability during towing operations. However, the vessel which performs the towing operation will always reduce its manoeuvring capabilities.
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8.6.13 Anchor handling
A vessel which is performing anchor handling operations may experience large aft trim angles and low freeboard on the stern. Typical factors influencing the trim and stability are:
• Weight of anchor
• Amount of consumables and fuel oil on board
• Amount of ballast
• Weight and position of deck cargo
• Use of propulsion Care should be taken in order to avoid the chain from slipping over to the side, which can cause capsizing. The chain should therefore be secured with towing pins or other arrangements in order to avoid such incidents. It is important to ensure that the winch emergency release function is operative.
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9 SAMPLE STABILITY CONDITION
9.1 Obtaining draught and trim
Using hydrostatic data for zero trim, one can interpolate for a specific displacement and obtain values for draught, LCB and MCT. For calculation of trim and draught based on a loading condition calculation, the following data are required:
• Longitudinal centre of gravity of the vessel, LCG;
• Longitudinal centre of buoyancy, LCB;
• Displacement, DISP;
• Moment to change trim, MCT
• Longitudinal centre of flotation, LCF
LCB, LCF, and MCT are taken from the hydrostatic tables (for trim = 0m) corresponding to the actual displacement. Trim is calculated as below. If the LCB is forward of the LCG the trim is by the stern and if the LCB is aft of the LCG the trim is by the head (bow). It is to be noted that the reference length used to calculate the trim is the length between perpendiculars (LBP).
𝑇𝑅𝐼𝑀 =𝐷𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡 ∙ (𝐿𝐶𝐵 − 𝐿𝐶𝐺)
𝑀𝑇𝑐𝑚 ∙ 100 [𝑚]
Figure 9 - Trim calculation
If the resulted trim exceeds the steps set out in the hydrostatics tables (e.g. 0.5 m aft or 0.5 m fwd), the nearest hydrostatics table should be used.
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From the above figure, the draught at the aft and forward perpendiculars can be calculated with the following formulae:
𝑇aft = 𝑇 − (𝑑𝐴𝑓𝑡 + 𝐿𝐶𝐹) ∙ tan(𝜑)
𝑇fwd = 𝑇 + (𝑑𝐹𝑤𝑑 − 𝐿𝐶𝐹) ∙ tan(𝜑)
Where 𝑇aft and 𝑇fwd are the draughts at the aft and forward perpendiculars and φ is the angle of trim.
9.2 Example for use of the maximum VCG curve This example shows how to carry out calculations for a specific loading condition. The example also shows how the user can verify the stability in every loading condition with the help of the VCG Max Curves.
FSCorr. 0.016
VESSEL CHARACTERISTICS 71.07 2.162 7.667 -0.006
Column numbers: 1 2 3 4 5 6 7 8
2.14671.07TOTAL (no FSCorr.) 1.2
Sum FSM
-0.460-0.0065457.667152
9 0 0 0provisions 1.0 2.950 3 9.450
DEADWEIGHT ITEMS
on board crew 0.4 3.445 1 11.825 5 0 0 0
CARGO ON DECK
cargo 0 0.000 0 0.000 0 0.000 0 0
HYDRO OIL
100% fill 0.33 0.244 0 6.439 2 -1.395 -0.460 0.1
FRESH WATER
0.100427.92071.2565.34100% fill
100% fill 9.74 1.000555.612131.300
VESSEL: VENUS 2
LC 03 - DEPARTURE, 100% CONSUMABLES, NO DECK CARGOCONDITION:
FUEL OIL
LIGHTSHIP
lighship 54.26 2.372 129 7.955 432 0 0 0
TCG [m] T-MNT [tm] FSM [tm]Item Weight [t] VCG [m] V-MNT [tm] LCG [m] L-MNT [tm]
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Notes on calculations:
• To obtain the values of vertical moment (V-MNT) in Column 3 you multiply the values of column 1 and
column 4.
• To obtain the values of longitudinal moment (L-MNT) in Column 5 you multiply the values of column 1 and column 4.
• To obtain the values of transverse moment (T-MNT) in Column 7 you multiply the values of column 1 and column 6.
• All values in Column 1 are then added to obtain “Total (no FSCorr.)”. This procedure is repeated for Columns 3, 5, 7 and 8.
• Dividing the sum in Column 3 with sum in Column 1 you will get VCG total before correction for free surface moment (FSM).
• Dividing the sum in Column 5 with sum in Column 1 you will get the LCG total.
• Dividing the sum in Column 7 with sum in Column 1 you will get the TCG total.
• Correction for free surface moment is obtained by dividing the sum of Column 8 with the vessel’s actual displacement from Column 1. This value is added to the VCG total to find the overall VCG pertinent to this loading condition.
9.3 The effect of free surface moments
Using the free surface moments:
𝑅𝑎𝑖𝑠𝑒 𝑜𝑓 𝑉𝐶𝐺 =∑ 𝐹𝑆𝑀 (𝑐𝑜𝑙𝑢𝑚𝑛 𝑛𝑜. 8)
𝐷𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡
Using the moment of inertia:
𝑅𝑎𝑖𝑠𝑒 𝑜𝑓 𝑉𝐶𝐺 = 𝐼 [𝑚4] ∙ 𝜌 [
𝑡𝑚3]
𝐷𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡 [𝑡]
Information regarding the free surface for each tank is presented in sounding table, Appendix 1.
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A quick stability assessment can be performed by determining the displacement and VCG of a given loadcase and plotting it on the Max. VCG curve. For positive stability the point should be positioned below the curve corresponding to a certain trim.
The point is under the Max. VCG curve, therefore stability is satisfactory for all trim values.
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10 APPENDIX 1
10.1 Tank sounding tables
10.1.1 Tank Soundings for Tk01_FW.P containing FRESH WATER (1.000)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 240.0 5.0 0.03 0.03 7.920f 2.458p 0.026 0.01 0.20 235.0 10.0 0.06 0.06 7.920f 2.467p 0.052 0.01 0.22 230.0 15.0 0.10 0.10 7.920f 2.477p 0.079 0.01 0.25 225.0 20.0 0.14 0.14 7.920f 2.487p 0.107 0.01 0.27 220.0 25.0 0.18 0.18 7.920f 2.497p 0.135 0.02 0.29 215.0 30.0 0.23 0.23 7.920f 2.508p 0.164 0.02 0.31 210.0 35.0 0.28 0.28 7.920f 2.518p 0.193 0.02 0.34 205.0 40.0 0.33 0.33 7.920f 2.529p 0.223 0.03 0.36 200.0 45.0 0.39 0.39 7.920f 2.539p 0.253 0.04 0.38 195.0 50.0 0.44 0.44 7.920f 2.549p 0.282 0.04 0.38 190.0 55.0 0.50 0.50 7.920f 2.556p 0.310 0.04 0.38 185.0 60.0 0.56 0.56 7.920f 2.561p 0.338 0.04 0.38 180.0 65.0 0.62 0.62 7.920f 2.566p 0.365 0.04 0.38 175.0 70.0 0.68 0.68 7.920f 2.570p 0.392 0.04 0.38 170.0 75.0 0.74 0.74 7.920f 2.573p 0.418 0.04 0.38 165.0 80.0 0.79 0.79 7.920f 2.576p 0.444 0.04 0.38 160.0 85.0 0.85 0.85 7.920f 2.578p 0.471 0.04 0.38 155.0 90.0 0.91 0.91 7.920f 2.580p 0.496 0.04 0.38 150.0 95.0 0.97 0.97 7.920f 2.582p 0.522 0.04 0.38 145.0 100.0 1.03 1.03 7.920f 2.584p 0.548 0.04 0.38 140.0 105.0 1.09 1.09 7.920f 2.585p 0.574 0.04 0.38 135.0 110.0 1.15 1.15 7.920f 2.586p 0.599 0.04 0.38 130.0 115.0 1.20 1.20 7.920f 2.587p 0.625 0.04 0.38 125.0 120.0 1.26 1.26 7.920f 2.588p 0.650 0.04 0.38 120.0 125.0 1.32 1.32 7.920f 2.589p 0.676 0.04 0.38 115.0 130.0 1.38 1.38 7.920f 2.590p 0.701 0.04 0.38 110.0 135.0 1.44 1.44 7.920f 2.591p 0.727 0.04 0.38 105.0 140.0 1.50 1.50 7.920f 2.592p 0.752 0.04 0.38 100.0 145.0 1.56 1.56 7.920f 2.592p 0.777 0.04 0.38 95.0 150.0 1.61 1.61 7.920f 2.593p 0.803 0.04 0.38 90.0 155.0 1.67 1.67 7.920f 2.594p 0.828 0.04 0.38 85.0 160.0 1.73 1.73 7.920f 2.594p 0.853 0.04 0.38 80.0 165.0 1.79 1.79 7.920f 2.595p 0.878 0.04 0.38 75.0 170.0 1.85 1.85 7.920f 2.595p 0.904 0.04 0.38 70.0 175.0 1.91 1.91 7.920f 2.596p 0.929 0.04 0.38 65.0 180.0 1.97 1.97 7.920f 2.596p 0.954 0.04 0.38 60.0 185.0 2.02 2.02 7.920f 2.597p 0.979 0.04 0.38 55.0 190.0 2.08 2.08 7.920f 2.597p 1.004 0.04 0.38 50.0 195.0 2.14 2.14 7.920f 2.597p 1.029 0.04 0.38 45.0 200.0 2.20 2.20 7.920f 2.598p 1.055 0.04 0.38 40.0 205.0 2.26 2.26 7.920f 2.598p 1.080 0.04 0.38 35.0 210.0 2.32 2.32 7.920f 2.598p 1.105 0.04 0.38 30.0
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10.1.1 Tank Soundings for Tk01_FW.P containing FRESH WATER (1.000)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
215.0 2.37 2.37 7.920f 2.599p 1.130 0.04 0.38 25.0 220.0 2.43 2.43 7.920f 2.599p 1.155 0.04 0.38 20.0 225.0 2.49 2.49 7.920f 2.599p 1.180 0.04 0.38 15.0 230.0 2.55 2.55 7.920f 2.599p 1.205 0.04 0.38 10.0 235.0 2.61 2.61 7.920f 2.600p 1.231 0.04 0.38 5.0 FULL 2.67 2.67 7.920f 2.600p 1.256 0.00 0.00 0.0 No Trim, No Heel
10.1.2 Tank Soundings for Tk02_FW.S containing FRESH WATER (1.000)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 240.0 5.0 0.03 0.03 7.920f 2.458s 0.026 0.01 0.20 235.0 10.0 0.06 0.06 7.920f 2.467s 0.052 0.01 0.22 230.0 15.0 0.10 0.10 7.920f 2.477s 0.079 0.01 0.25 225.0 20.0 0.14 0.14 7.920f 2.487s 0.107 0.01 0.27 220.0 25.0 0.18 0.18 7.920f 2.497s 0.135 0.02 0.29 215.0 30.0 0.23 0.23 7.920f 2.508s 0.164 0.02 0.31 210.0 35.0 0.28 0.28 7.920f 2.518s 0.193 0.02 0.34 205.0 40.0 0.33 0.33 7.920f 2.529s 0.223 0.03 0.36 200.0 45.0 0.39 0.39 7.920f 2.539s 0.253 0.04 0.38 195.0 50.0 0.44 0.44 7.920f 2.549s 0.282 0.04 0.38 190.0 55.0 0.50 0.50 7.920f 2.556s 0.310 0.04 0.38 185.0 60.0 0.56 0.56 7.920f 2.561s 0.338 0.04 0.38 180.0 65.0 0.62 0.62 7.920f 2.566s 0.365 0.04 0.38 175.0 70.0 0.68 0.68 7.920f 2.570s 0.392 0.04 0.38 170.0 75.0 0.74 0.74 7.920f 2.573s 0.418 0.04 0.38 165.0 80.0 0.79 0.79 7.920f 2.576s 0.444 0.04 0.38 160.0 85.0 0.85 0.85 7.920f 2.578s 0.471 0.04 0.38 155.0 90.0 0.91 0.91 7.920f 2.580s 0.496 0.04 0.38 150.0 95.0 0.97 0.97 7.920f 2.582s 0.522 0.04 0.38 145.0 100.0 1.03 1.03 7.920f 2.584s 0.548 0.04 0.38 140.0 105.0 1.09 1.09 7.920f 2.585s 0.574 0.04 0.38 135.0 110.0 1.15 1.15 7.920f 2.586s 0.599 0.04 0.38 130.0 115.0 1.20 1.20 7.920f 2.587s 0.625 0.04 0.38 125.0 120.0 1.26 1.26 7.920f 2.588s 0.650 0.04 0.38 120.0 125.0 1.32 1.32 7.920f 2.589s 0.676 0.04 0.38 115.0 130.0 1.38 1.38 7.920f 2.590s 0.701 0.04 0.38 110.0 135.0 1.44 1.44 7.920f 2.591s 0.727 0.04 0.38 105.0 140.0 1.50 1.50 7.920f 2.592s 0.752 0.04 0.38 100.0 145.0 1.56 1.56 7.920f 2.592s 0.777 0.04 0.38 95.0 150.0 1.61 1.61 7.920f 2.593s 0.803 0.04 0.38 90.0 155.0 1.67 1.67 7.920f 2.594s 0.828 0.04 0.38 85.0 160.0 1.73 1.73 7.920f 2.594s 0.853 0.04 0.38 80.0 165.0 1.79 1.79 7.920f 2.595s 0.878 0.04 0.38 75.0 170.0 1.85 1.85 7.920f 2.595s 0.904 0.04 0.38 70.0 175.0 1.91 1.91 7.920f 2.596s 0.929 0.04 0.38 65.0 180.0 1.97 1.97 7.920f 2.596s 0.954 0.04 0.38 60.0 185.0 2.02 2.02 7.920f 2.597s 0.979 0.04 0.38 55.0
213
10.1.2 Tank Soundings for Tk02_FW.S containing FRESH WATER (1.000)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
190.0 2.08 2.08 7.920f 2.597s 1.004 0.04 0.38 50.0 195.0 2.14 2.14 7.920f 2.597s 1.029 0.04 0.38 45.0 200.0 2.20 2.20 7.920f 2.598s 1.055 0.04 0.38 40.0 205.0 2.26 2.26 7.920f 2.598s 1.080 0.04 0.38 35.0 210.0 2.32 2.32 7.920f 2.598s 1.105 0.04 0.38 30.0 215.0 2.37 2.37 7.920f 2.599s 1.130 0.04 0.38 25.0 220.0 2.43 2.43 7.920f 2.599s 1.155 0.04 0.38 20.0 225.0 2.49 2.49 7.920f 2.599s 1.180 0.04 0.38 15.0 230.0 2.55 2.55 7.920f 2.599s 1.205 0.04 0.38 10.0 235.0 2.61 2.61 7.920f 2.600s 1.231 0.04 0.38 5.0 FULL 2.67 2.67 7.920f 2.600s 1.256 0.00 0.00 0.0 No Trim, No Heel
10.1.3 Tank Soundings for Tk03_FO.P containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 240.0 5.0 0.08 0.07 7.673f 0.975p 0.025 0.44 0.08 235.0 10.0 0.16 0.14 7.673f 0.975p 0.050 0.44 0.08 230.0 15.0 0.24 0.21 7.673f 0.975p 0.075 0.44 0.08 225.0 20.0 0.32 0.28 7.673f 0.975p 0.100 0.44 0.08 220.0 25.0 0.40 0.34 7.673f 0.975p 0.125 0.44 0.08 215.0 30.0 0.48 0.41 7.673f 0.975p 0.150 0.44 0.08 210.0 35.0 0.55 0.48 7.673f 0.975p 0.175 0.44 0.08 205.0 40.0 0.63 0.55 7.673f 0.975p 0.200 0.44 0.08 200.0 45.0 0.71 0.62 7.673f 0.975p 0.225 0.44 0.08 195.0 50.0 0.78 0.68 7.673f 0.981p 0.247 0.08 0.04 190.0 55.0 0.83 0.72 7.673f 1.004p 0.262 0.08 0.04 185.0 60.0 0.87 0.76 7.673f 1.024p 0.279 0.08 0.04 180.0 65.0 0.92 0.80 7.673f 1.042p 0.296 0.08 0.04 175.0 70.0 0.96 0.84 7.673f 1.058p 0.313 0.08 0.04 170.0 75.0 1.01 0.88 7.673f 1.074p 0.332 0.08 0.04 165.0 80.0 1.05 0.92 7.673f 1.087p 0.351 0.08 0.04 160.0 85.0 1.10 0.96 7.673f 1.100p 0.370 0.08 0.04 155.0 90.0 1.14 1.00 7.673f 1.112p 0.390 0.08 0.04 150.0 95.0 1.19 1.04 7.673f 1.122p 0.410 0.08 0.04 145.0 100.0 1.23 1.07 7.673f 1.132p 0.431 0.08 0.04 140.0 105.0 1.28 1.11 7.673f 1.141p 0.452 0.08 0.04 135.0 110.0 1.32 1.15 7.673f 1.150p 0.473 0.08 0.04 130.0 115.0 1.37 1.19 7.673f 1.158p 0.495 0.08 0.04 125.0 120.0 1.42 1.23 7.673f 1.166p 0.516 0.08 0.04 120.0 125.0 1.46 1.27 7.673f 1.173p 0.538 0.08 0.04 115.0 130.0 1.51 1.31 7.673f 1.179p 0.560 0.08 0.04 110.0 135.0 1.55 1.35 7.673f 1.186p 0.582 0.08 0.04 105.0 140.0 1.60 1.39 7.673f 1.192p 0.605 0.08 0.04 100.0 145.0 1.64 1.43 7.673f 1.197p 0.627 0.08 0.04 95.0 150.0 1.69 1.47 7.673f 1.203p 0.650 0.08 0.04 90.0 155.0 1.73 1.51 7.673f 1.208p 0.673 0.08 0.04 85.0 160.0 1.78 1.55 7.673f 1.212p 0.696 0.08 0.04 80.0
214
10.1.3 Tank Soundings for Tk03_FO.P containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
165.0 1.82 1.58 7.673f 1.217p 0.719 0.08 0.04 75.0 170.0 1.87 1.62 7.673f 1.221p 0.742 0.08 0.04 70.0 175.0 1.91 1.66 7.673f 1.225p 0.765 0.08 0.04 65.0 180.0 1.96 1.70 7.673f 1.229p 0.788 0.08 0.04 60.0 185.0 2.00 1.74 7.673f 1.233p 0.812 0.08 0.04 55.0 190.0 2.05 1.78 7.673f 1.236p 0.835 0.08 0.04 50.0 195.0 2.09 1.82 7.673f 1.240p 0.859 0.08 0.04 45.0 200.0 2.14 1.86 7.673f 1.243p 0.882 0.08 0.04 40.0 205.0 2.18 1.90 7.673f 1.246p 0.906 0.08 0.04 35.0 210.0 2.23 1.94 7.673f 1.249p 0.930 0.08 0.04 30.0 215.0 2.27 1.98 7.673f 1.252p 0.953 0.08 0.04 25.0 220.0 2.32 2.02 7.673f 1.255p 0.977 0.08 0.04 20.0 225.0 2.36 2.06 7.673f 1.258p 1.001 0.08 0.04 15.0 230.0 2.41 2.09 7.673f 1.260p 1.025 0.08 0.04 10.0 235.0 2.45 2.13 7.673f 1.263p 1.049 0.08 0.04 5.0 FULL 2.50 2.17 7.673f 1.265p 1.073 0.00 0.00 0.0 No Trim, No Heel
10.1.4 Tank Soundings for Tk04_FO.S containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 240.0 5.0 0.08 0.07 7.673f 0.975s 0.025 0.44 0.08 235.0 10.0 0.16 0.14 7.673f 0.975s 0.050 0.44 0.08 230.0 15.0 0.24 0.21 7.673f 0.975s 0.075 0.44 0.08 225.0 20.0 0.32 0.28 7.673f 0.975s 0.100 0.44 0.08 220.0 25.0 0.40 0.34 7.673f 0.975s 0.125 0.44 0.08 215.0 30.0 0.48 0.41 7.673f 0.975s 0.150 0.44 0.08 210.0 35.0 0.55 0.48 7.673f 0.975s 0.175 0.44 0.08 205.0 40.0 0.63 0.55 7.673f 0.975s 0.200 0.44 0.08 200.0 45.0 0.71 0.62 7.673f 0.975s 0.225 0.44 0.08 195.0 50.0 0.78 0.68 7.673f 0.981s 0.247 0.08 0.04 190.0 55.0 0.83 0.72 7.673f 1.004s 0.262 0.08 0.04 185.0 60.0 0.87 0.76 7.673f 1.024s 0.279 0.08 0.04 180.0 65.0 0.92 0.80 7.673f 1.042s 0.296 0.08 0.04 175.0 70.0 0.96 0.84 7.673f 1.058s 0.313 0.08 0.04 170.0 75.0 1.01 0.88 7.673f 1.074s 0.332 0.08 0.04 165.0 80.0 1.05 0.92 7.673f 1.087s 0.351 0.08 0.04 160.0 85.0 1.10 0.96 7.673f 1.100s 0.370 0.08 0.04 155.0 90.0 1.14 1.00 7.673f 1.112s 0.390 0.08 0.04 150.0 95.0 1.19 1.04 7.673f 1.122s 0.410 0.08 0.04 145.0 100.0 1.23 1.07 7.673f 1.132s 0.431 0.08 0.04 140.0 105.0 1.28 1.11 7.673f 1.141s 0.452 0.08 0.04 135.0 110.0 1.32 1.15 7.673f 1.150s 0.473 0.08 0.04 130.0 115.0 1.37 1.19 7.673f 1.158s 0.495 0.08 0.04 125.0 120.0 1.42 1.23 7.673f 1.166s 0.516 0.08 0.04 120.0 125.0 1.46 1.27 7.673f 1.173s 0.538 0.08 0.04 115.0 130.0 1.51 1.31 7.673f 1.179s 0.560 0.08 0.04 110.0 135.0 1.55 1.35 7.673f 1.186s 0.582 0.08 0.04 105.0
215
10.1.4 Tank Soundings for Tk04_FO.S containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
140.0 1.60 1.39 7.673f 1.192s 0.605 0.08 0.04 100.0 145.0 1.64 1.43 7.673f 1.197s 0.627 0.08 0.04 95.0 150.0 1.69 1.47 7.673f 1.203s 0.650 0.08 0.04 90.0 155.0 1.73 1.51 7.673f 1.208s 0.673 0.08 0.04 85.0 160.0 1.78 1.55 7.673f 1.212s 0.696 0.08 0.04 80.0 165.0 1.82 1.58 7.673f 1.217s 0.719 0.08 0.04 75.0 170.0 1.87 1.62 7.673f 1.221s 0.742 0.08 0.04 70.0 175.0 1.91 1.66 7.673f 1.225s 0.765 0.08 0.04 65.0 180.0 1.96 1.70 7.673f 1.229s 0.788 0.08 0.04 60.0 185.0 2.00 1.74 7.673f 1.233s 0.812 0.08 0.04 55.0 190.0 2.05 1.78 7.673f 1.236s 0.835 0.08 0.04 50.0 195.0 2.09 1.82 7.673f 1.240s 0.859 0.08 0.04 45.0 200.0 2.14 1.86 7.673f 1.243s 0.882 0.08 0.04 40.0 205.0 2.18 1.90 7.673f 1.246s 0.906 0.08 0.04 35.0 210.0 2.23 1.94 7.673f 1.249s 0.930 0.08 0.04 30.0 215.0 2.27 1.98 7.673f 1.252s 0.953 0.08 0.04 25.0 220.0 2.32 2.02 7.673f 1.255s 0.977 0.08 0.04 20.0 225.0 2.36 2.06 7.673f 1.258s 1.001 0.08 0.04 15.0 230.0 2.41 2.09 7.673f 1.260s 1.025 0.08 0.04 10.0 235.0 2.45 2.13 7.673f 1.263s 1.049 0.08 0.04 5.0 FULL 2.50 2.17 7.673f 1.265s 1.073 0.00 0.00 0.0 No Trim, No Heel
10.1.5 Tank Soundings for Tk05_FO.P containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 240.0 5.0 0.01 0.01 4.919f 2.429p 0.026 0.00 0.01 235.0 10.0 0.02 0.02 4.908f 2.436p 0.053 0.00 0.01 230.0 15.0 0.03 0.03 4.897f 2.444p 0.082 0.00 0.02 225.0 20.0 0.05 0.04 4.885f 2.451p 0.111 0.00 0.02 220.0 25.0 0.06 0.06 4.877f 2.460p 0.141 0.00 0.02 215.0 30.0 0.08 0.07 4.870f 2.469p 0.171 0.01 0.03 210.0 35.0 0.10 0.09 4.863f 2.478p 0.202 0.01 0.03 205.0 40.0 0.13 0.11 4.855f 2.487p 0.233 0.01 0.04 200.0 45.0 0.15 0.13 4.848f 2.496p 0.264 0.01 0.04 195.0 50.0 0.18 0.15 4.839f 2.505p 0.296 0.01 0.05 190.0 55.0 0.20 0.18 4.829f 2.514p 0.329 0.01 0.05 185.0 60.0 0.24 0.20 4.817f 2.524p 0.362 0.02 0.06 180.0 65.0 0.27 0.23 4.799f 2.535p 0.397 0.02 0.12 175.0 70.0 0.31 0.27 4.776f 2.545p 0.433 0.02 0.12 170.0 75.0 0.35 0.31 4.749f 2.553p 0.469 0.02 0.16 165.0 80.0 0.40 0.35 4.714f 2.560p 0.506 0.03 0.22 160.0 85.0 0.45 0.40 4.673f 2.566p 0.544 0.03 0.30 155.0 90.0 0.51 0.45 4.627f 2.571p 0.582 0.03 0.38 150.0 95.0 0.58 0.50 4.576f 2.575p 0.621 0.04 0.53 145.0 100.0 0.65 0.57 4.519f 2.579p 0.660 0.04 0.72 140.0 105.0 0.73 0.64 4.455f 2.582p 0.700 0.04 0.99 135.0 110.0 0.82 0.71 4.386f 2.585p 0.740 0.05 1.12 130.0
216
10.1.5 Tank Soundings for Tk05_FO.P containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
115.0 0.90 0.79 4.329f 2.588p 0.777 0.05 1.12 125.0 120.0 0.99 0.86 4.282f 2.590p 0.812 0.05 1.12 120.0 125.0 1.08 0.94 4.242f 2.591p 0.846 0.05 1.12 115.0 130.0 1.17 1.02 4.209f 2.593p 0.878 0.05 1.12 110.0 135.0 1.26 1.09 4.180f 2.594p 0.909 0.05 1.12 105.0 140.0 1.34 1.17 4.155f 2.595p 0.940 0.05 1.12 100.0 145.0 1.43 1.25 4.133f 2.596p 0.970 0.05 1.12 95.0 150.0 1.52 1.32 4.113f 2.597p 0.999 0.05 1.12 90.0 155.0 1.61 1.40 4.096f 2.597p 1.028 0.05 1.12 85.0 160.0 1.69 1.47 4.080f 2.598p 1.056 0.05 1.12 80.0 165.0 1.78 1.55 4.066f 2.599p 1.084 0.05 1.12 75.0 170.0 1.87 1.63 4.053f 2.599p 1.112 0.05 1.12 70.0 175.0 1.96 1.70 4.042f 2.600p 1.139 0.05 1.12 65.0 180.0 2.05 1.78 4.031f 2.600p 1.166 0.05 1.12 60.0 185.0 2.13 1.86 4.021f 2.600p 1.194 0.05 1.12 55.0 190.0 2.22 1.93 4.013f 2.601p 1.220 0.05 1.12 50.0 195.0 2.31 2.01 4.004f 2.601p 1.247 0.05 1.12 45.0 200.0 2.40 2.09 3.997f 2.602p 1.274 0.05 1.12 40.0 205.0 2.48 2.16 3.989f 2.602p 1.300 0.05 1.12 35.0 210.0 2.57 2.24 3.983f 2.602p 1.327 0.05 1.12 30.0 215.0 2.66 2.31 3.977f 2.602p 1.353 0.05 1.12 25.0 220.0 2.75 2.39 3.971f 2.603p 1.379 0.05 1.12 20.0 225.0 2.84 2.47 3.965f 2.603p 1.406 0.05 1.12 15.0 230.0 2.92 2.54 3.960f 2.603p 1.432 0.05 1.12 10.0 235.0 3.01 2.62 3.955f 2.603p 1.458 0.05 1.12 5.0 FULL 3.10 2.70 3.951f 2.603p 1.484 0.00 0.00 0.0 No Trim, No Heel
10.1.6 Tank Soundings for Tk06_FO.S containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 240.0 5.0 0.01 0.01 4.919f 2.429s 0.026 0.00 0.01 235.0 10.0 0.02 0.02 4.908f 2.436s 0.053 0.00 0.01 230.0 15.0 0.03 0.03 4.897f 2.444s 0.082 0.00 0.02 225.0 20.0 0.05 0.04 4.885f 2.451s 0.111 0.00 0.02 220.0 25.0 0.06 0.06 4.877f 2.460s 0.141 0.00 0.02 215.0 30.0 0.08 0.07 4.870f 2.469s 0.171 0.01 0.03 210.0 35.0 0.10 0.09 4.863f 2.478s 0.202 0.01 0.03 205.0 40.0 0.13 0.11 4.855f 2.487s 0.233 0.01 0.04 200.0 45.0 0.15 0.13 4.848f 2.496s 0.264 0.01 0.04 195.0 50.0 0.18 0.15 4.839f 2.505s 0.296 0.01 0.05 190.0 55.0 0.20 0.18 4.829f 2.514s 0.329 0.01 0.05 185.0 60.0 0.24 0.20 4.817f 2.524s 0.362 0.02 0.06 180.0 65.0 0.27 0.23 4.799f 2.535s 0.397 0.02 0.12 175.0 70.0 0.31 0.27 4.776f 2.545s 0.433 0.02 0.12 170.0 75.0 0.35 0.31 4.749f 2.553s 0.469 0.02 0.16 165.0 80.0 0.40 0.35 4.714f 2.560s 0.506 0.03 0.22 160.0 85.0 0.45 0.40 4.673f 2.566s 0.544 0.03 0.30 155.0
217
10.1.6 Tank Soundings for Tk06_FO.S containing FUEL OIL (0.870)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
90.0 0.51 0.45 4.627f 2.571s 0.582 0.03 0.38 150.0 95.0 0.58 0.50 4.576f 2.575s 0.621 0.04 0.53 145.0 100.0 0.65 0.57 4.519f 2.579s 0.660 0.04 0.72 140.0 105.0 0.73 0.64 4.455f 2.582s 0.700 0.04 0.99 135.0 110.0 0.82 0.71 4.386f 2.585s 0.740 0.05 1.12 130.0 115.0 0.90 0.79 4.329f 2.588s 0.777 0.05 1.12 125.0 120.0 0.99 0.86 4.282f 2.590s 0.812 0.05 1.12 120.0 125.0 1.08 0.94 4.242f 2.591s 0.846 0.05 1.12 115.0 130.0 1.17 1.02 4.209f 2.593s 0.878 0.05 1.12 110.0 135.0 1.26 1.09 4.180f 2.594s 0.909 0.05 1.12 105.0 140.0 1.34 1.17 4.155f 2.595s 0.940 0.05 1.12 100.0 145.0 1.43 1.25 4.133f 2.596s 0.970 0.05 1.12 95.0 150.0 1.52 1.32 4.113f 2.597s 0.999 0.05 1.12 90.0 155.0 1.61 1.40 4.096f 2.597s 1.028 0.05 1.12 85.0 160.0 1.69 1.47 4.080f 2.598s 1.056 0.05 1.12 80.0 165.0 1.78 1.55 4.066f 2.599s 1.084 0.05 1.12 75.0 170.0 1.87 1.63 4.053f 2.599s 1.112 0.05 1.12 70.0 175.0 1.96 1.70 4.042f 2.600s 1.139 0.05 1.12 65.0 180.0 2.05 1.78 4.031f 2.600s 1.166 0.05 1.12 60.0 185.0 2.13 1.86 4.021f 2.600s 1.194 0.05 1.12 55.0 190.0 2.22 1.93 4.013f 2.601s 1.220 0.05 1.12 50.0 195.0 2.31 2.01 4.004f 2.601s 1.247 0.05 1.12 45.0 200.0 2.40 2.09 3.997f 2.602s 1.274 0.05 1.12 40.0 205.0 2.48 2.16 3.989f 2.602s 1.300 0.05 1.12 35.0 210.0 2.57 2.24 3.983f 2.602s 1.327 0.05 1.12 30.0 215.0 2.66 2.31 3.977f 2.602s 1.353 0.05 1.12 25.0 220.0 2.75 2.39 3.971f 2.603s 1.379 0.05 1.12 20.0 225.0 2.84 2.47 3.965f 2.603s 1.406 0.05 1.12 15.0 230.0 2.92 2.54 3.960f 2.603s 1.432 0.05 1.12 10.0 235.0 3.01 2.62 3.955f 2.603s 1.458 0.05 1.12 5.0 FULL 3.10 2.70 3.951f 2.603s 1.484 0.00 0.00 0.0 No Trim, No Heel
10.1.7 Tank Soundings for Tk07_HO.P containing HYDRO OIL (0.924)
Sounding
(cm) Volume
(m³) Weight
(MT) LCG (m)
TCG (m)
VCG (m)
FSMt (MT-m)
FSMl (MT-m)
Ullage (cm)
0.0 0.00 0.00 0.000 0.000 0.000 0.00 0.00 48.7 5.0 0.04 0.03 6.930f 1.395p 0.025 0.07 0.02 43.7 10.0 0.07 0.07 6.930f 1.395p 0.050 0.07 0.02 38.7 15.0 0.11 0.10 6.930f 1.395p 0.075 0.07 0.02 33.7 20.0 0.14 0.13 6.930f 1.395p 0.100 0.07 0.02 28.7 25.0 0.18 0.17 6.930f 1.395p 0.125 0.07 0.02 23.7 30.0 0.22 0.20 6.930f 1.395p 0.150 0.07 0.02 18.7 35.0 0.25 0.23 6.930f 1.395p 0.175 0.07 0.02 13.7 40.0 0.29 0.27 6.930f 1.395p 0.200 0.07 0.02 8.7 45.0 0.32 0.30 6.930f 1.395p 0.225 0.07 0.02 3.7 FULL 0.35 0.33 6.930f 1.395p 0.244 0.00 0.00 0.0
218
11 APPENDIX 2
11.1 Condition sheet for stability assessment
FSCorr. 0.000
VESSEL CHARACTERISTICS 0.00 0.000 0.000 0.000
Column numbers: 1 2 3 4 5 6 7 8
VESSEL: VENUS 2
CONDITION:
Item Weight [t] VCG [m] V-MNT [tm] LCG [m] L-MNT [tm] TCG [m] T-MNT [tm] FSM [tm]
LIGHTSHIP
FUEL OIL
FRESH WATER
HYDRO OIL
CARGO ON DECK
DEADWEIGHT ITEMS
0.000 0.000 0.0
Sum FSM
TOTAL (no FSCorr.) 0 0.000 0 0.000 0