Tribon Example FINAL5.1

NATIONAL TECHNICAL UNIVERSITY OF ATHENS

SCHOOL OF NAVAL ARCHITECTURE AND MARINE ENGINEERING

SHIP DESIGN LABORATORY

Stabi l i ty Calculat ions for a Bulkcarr ier

An Example Us ing TRIBON M2 Ini t ia l Des ign

0.0

0.5

1.0

1.5

2.0

2.5

GZ

- met

res

0 10 20 30 40 50 60

Heel - degrees

-400000

-200000 0

200000 400000

tonn

es-m

etre

s Be

ndin

g M

omen

tM

ax S

ag B

M

Max

Hog

BM

-4000 -2000 0

2000 4000

tonn

es

She

ar F

orce

Max

-ve

SF

Max

+ve

SF

-1500 -1000 -500 0 500 1000

tonn

es/m

etre

Wei

ght

Buoy

ancy

0 50 100 150 200 250

Position from Origin - metres

ATHENS 2003

by

Sotiris SKOUPAS, Dipl.-Eng, Dr.-Eng cand.

T A B L E O F C O N T E N T S

INTRODUCTION.................................................................................................................... 1

TRIBON M2 – Initial Design................................................................................................. 1

EXAMPLE................................................................................................................................ 2

GENERAL PARTICULARS................................................................................................. 2

CAPACITY PLAN ................................................................................................................ 3

LINES..................................................................................................................................... 4

FORM CALCULATIONS..................................................................................................... 9

BENDING MOMENTS & SHEARING FORCES ............................................................. 16

LIGHTWEIGHT DISTRIBUTION ..................................................................................... 17

LOADING CONDITIONS .................................................................................................. 19

DAMAGE STABILITY....................................................................................................... 31

Presentation of the TRIBON M2 Initial Design

Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA

-1-

I N T R O D U C T I O N TRIBON M2 – INITIAL DESIGN

The TRIBON Μ2 - Initial Design is an integrated suite of programs aimed at hull

form designers and Naval Architects. It incorporates functions for hull form definition &

fairing, appendage modeling, internal arrangement and analysis of hydrostatic and

hydrodynamic characteristics. The application consists of the next five modules:

The Lines module is a hull fairing tool based on traditional methods that can be used to

create virtually any form of marine vehicle including multi-hulls, chined and asymmetrical

hulls. The hull form is initially represented as a loosely connected mesh of curves that is used

to create a network of 3D surface patches.

The Surface module principally used to define a product model of the outer surfaces of

the main hull and its appendages. At its core is a 3D solid modeling kernel (ACIS) that can be

used to create many additional features for ships and other structures.

The Compartment module facilitates the quick definition of transverse bulkheads,

longitudinal bulkheads, decks, compartments and superstructure. This shares the same

framework as the Surface module.

The Calc module offers ship designers a comprehensive toolkit of naval architectural

assessment functions. It encompasses the calculation of hydrostatics, loading conditions,

intact and damage stability, critical KGs, longitudinal strength, tank calibration and damage

stability assessment. The module uses both deterministic and probabilistic methods.

The Hydro module is used to predict the hydrodynamic performance of vessels via the

calculation of the vessels powering, maneuvering and sea-keeping characteristics. This shares

the same framework as the Calc module.

For more details about Tribon M2 product see the Tribon M2 User’s Guides

documentation or visit the Tribon Solutions Corporation web page at www.tribon.com.

Calc & Hydro

• Hydrostatic Calculations • Intact & Damage Stability Calculations• Hydrodynamic Calculations

Lines

• Lines • Hull Form

Surface & Compartment

• Internal Subdivision • Superstructures • Other Structures

The ship design procedure using the Tribon – Initial Design modules

http://www.tribon.com/

EXAMPLE – Capacity Plan


-2-

E X A M P L E

The present case study refers to a Capesize, B-60 Single-Skin Bulkcarrier, of 150,000

tons deadweight. The following information is provided next: Lines Plan and Offset Data,

Basic Hydrostatic and Longitudinal Strength Calculations, Intact and Damage Stability

Calculations for typical Loading Conditions.

• GENERAL PARTICULARS

Main Dimensions

Length Overall 280.075 metres Length B.P 270.000 metres Breadth mld. 45.000 metres Depth mld. 23.800 metres Design Draft (moulded) 16.500 metres Summer Load Draft (extreme) 17.519 metres Displacement at Load Draft 180487 tonnes Lightship Weight 19449 tonnes Deadweight at Load Draft 161038 tonnes

Subdivision Length (Ls) 280.075 metres Aft end of Ls aft of AP 4.500 metres Subdivision Load Line (ds) 17.500 metres Lightest Service Draft (d0) 11.368 metres

Sea Water Properties Plate thicknesses Draft Marks Aft & Fwd Propeller data

Sea Water Properties

Sea water density 1.02500 tonnes/cu.mTemperature 15.00 degs. C

Plate thicknesses

Keel thickness 0.000 mm Stringer thickness 0.000 mm Averaged shell thickness 19.000 mm

Draft Marks Aft & Fwd

Location Aft 11.000 m Fwd 268.450 m

Propeller data

Location from AP

0.000 metres

Diameter 8.200 metres Shaft height 4.300 metres Required immersion

100.000 %

EXAMPLE – Capacity Plan


-3-

• CAPACITY PLAN

1DBTs

APT

BHT

BOSST

CW T+S T

DOTsD UC T DUCT2DUCT3DUCT4DUCT5DUCT6DUCT7DUCT8DUCT9

ENRMFPT+CLa

HOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9

SGRMnU P S T O O L 2U P S T O O L 3UP STO O L 4 a UP STO O L 4 fU P S T O O L 5U P S T O O L 6U P S T O O L 7U P S T O O L 8

VS2s to o l 2s to o l 3s to o l 4 a s to o l4 fs to o l 5s to o l 6s to o l 7s to o l 8

Profile View (C.L.)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

BHTCWT+ST

DOTp


FOVFTK

FPT+CLaOBT VS2

Tank Top (2.50 m)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

CWT+ST ENRM FPT+CLaHOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9 st ool2st ool3st ool4a st ool4fst oo l5st ool6st ool7st ool8

Z = 5.00 m

1FOT+S S p

1FOTs

2FOT+VSp

2FOTs

APT ENRM FPT+CLaHOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9L OTKS

PURRM

Z = 13.00 m

1FOT+S S p

1FOTs

1TSTp

1TSTs

2FOT+VSp

2FOTs

2TSTp

2TSTs

3TSTp

3TSTs

4TSTp

4TSTs

5TSTp

5TSTs

BOSST

CRM

ENRM

FW T+DWTp

FWTs

HOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9SGRMn U P S T O O L 2U P S T O O L 3U P S T O O L 4 a U P S T O O L 4 fU P S T O O L 5U P S T O O L 6U P S T O O L 7U P S T O O L 8

V S 1

Z = 22.50 m

5DBTp 5DBTs

5TSTp 5TSTs

DUCT9

HOLD9

Section at Hold 9

4DBTp 4DBTs

4TSTp 4TSTs

DUCT6

HOLD6

Section at MidShip.

1DBTp 1DBTs

1TSTp 1TSTs

HOLD1

Section at HOLD 1

EXAMPLE – Lines


-4-

• LINES

LINES DATA INDEX OF CONTENTS All output for this loftbook given in Metres Waterline Crossings on Stem Profile Waterline Crossings on Stern Profile CD Crossings on Flat Of Bottom CD Crossings on Flat Of Side CD Crossings on Knuckle Kn18.1 Waterline Crossings on Knuckle Transom CD Crossings on P-line Deck Waterline Crossings on CD

List of Crossings for Stem Profile Waterline Dist. From Origin Half Width Height 0.0000 135.0000 0.0000 0.0000 265.9000 0.0000 0.0000 1.0000 270.2271 0.0000 1.0000 3.0000 273.0116 0.0000 3.0000 5.0000 274.3564 0.0000 5.0000 7.0000 275.1464 0.0000 7.0000 9.0000 275.5574 0.0000 9.0000 11.0000 275.3458 0.0000 11.0000 13.0000 274.3903 0.0000 13.0000 15.0000 271.0000 0.0000 15.0000 17.0000 270.0784 0.0000 17.0000 19.0000 271.2513 0.0000 19.0000 21.0000 272.5713 0.0000 21.0000 23.0000 273.8877 0.0000 23.0000

List of Crossings for Stern Profile Waterline Dist. From Origin Half Width Height 0.0000 135.0000 0.0000 0.0000 1.0000 9.5921 0.0000 1.0000 3.0000 6.8491 0.0000 3.0000 5.0000 7.3458 0.0000 5.0000 7.0000 9.3891 0.0000 7.0000 9.0000 9.4910 0.0000 9.0000 11.0000 7.2278 0.0000 11.0000 13.0000 0.7373 0.0000 13.0000 15.0000 -4.5000 0.0000 15.0000 17.0000 -4.5000 0.0000 17.0000 19.0000 -4.5000 0.0000 19.0000 21.0000 -4.5000 0.0000 21.0000 23.0000 -4.5000 0.0000 23.0000

List of Crossings for Flat of Bottom CD Dist. From Origin Half Width Height 14.8295 14.8295 0.0000 0.0000 27.0000 27.0000 1.3800 0.0000

EXAMPLE – Lines


-5-

40.5000 40.5000 3.8950 0.0000 54.0000 54.0000 7.0500 0.0000 67.5000 67.5000 10.5750 0.0000 81.0000 81.0000 14.1300 0.0000 94.5000 94.5000 17.3500 0.0000 108.0000 108.0000 19.7092 0.0000 121.5000 121.5000 20.6000 0.0000 202.5000 202.5000 20.6000 0.0000 216.0000 216.0000 19.0811 0.0000 229.5000 229.5000 14.5550 0.0000 243.0000 243.0000 8.1100 0.0000 256.5000 256.5000 2.0500 0.0000 263.2500 263.2500 0.2250 0.0000 265.9000 265.9000 0.0000 0.0000

List of Crossings for Flat of Side CD Dist. From Origin Half Width Height 55.2000 55.2000 22.5000 23.8000 55.2000 22.5000 18.1000 67.5000 67.5000 22.5000 13.8250 81.0000 81.0000 22.5000 9.4724 94.5000 94.5000 22.5000 5.6800 108.0000 108.0000 22.5000 2.9250 121.5000 121.5000 22.5000 1.9000 202.5000 202.5000 22.5000 1.9000 215.6500 215.6500 22.5000 23.7995 215.6500 22.5000 9.9996

List of Crossings for Knuckle Kn18.1 CD Dist. From Origin Half Width Height -4.5000 -4.5000 6.5000 18.1000 0.0000 0.0000 9.0000 18.1000 6.7500 6.7500 12.3000 18.1000 13.5000 13.5000 15.0500 18.1000 27.0000 27.0000 19.1000 18.1000 40.5000 40.5000 21.5000 18.1000 54.0000 54.0000 22.4925 18.1000 55.2000 55.2000 22.5000 18.1000

List of Crossings for Knuckle Transom Waterline Dist. From Origin Half Width Height 14.6000 -4.5000 0.0000 14.6000 15.0000 -4.5000 1.0000 15.0000 17.0000 -4.5000 5.0000 17.0000 19.0000 -4.5000 6.5000 19.0000 21.0000 -4.5000 6.5000 21.0000 23.0000 -4.5000 6.5000 23.0000 24.5500 -4.5000 6.5000 24.5500

List of Crossings for P-line Deck CD Dist. From Origin Half Width Height -4.5000 -4.5000 0.0000 24.5500 -4.5000 6.5000 24.5500 0.0000 0.0000 9.0000 24.4250 6.7500 6.7500 12.2993 24.2537 13.5000 13.5000 15.0497 24.1312

EXAMPLE – Lines


-6-

27.0000 27.0000 19.1459 23.9533 40.5000 40.5000 21.5910 23.8423 54.0000 54.0000 22.4939 23.7998 67.5000 67.5000 22.5000 23.7995 81.0000 81.0000 22.5000 23.7995 94.5000 94.5000 22.5000 23.7995 108.0000 108.0000 22.5000 23.7995 121.5000 121.5000 22.5000 23.7995 202.5000 202.5000 22.5000 23.7995 216.0000 216.0000 22.4999 23.7995 229.5000 229.5000 22.1636 23.8086 243.0000 243.0000 20.6026 23.8737 256.5000 256.5000 16.7044 24.0555 263.2500 263.2500 13.3805 24.2072 270.0000 270.0000 8.3723 24.4286 271.3940 271.3940 7.0242 24.4862 272.7880 272.7880 5.4348 24.5475 274.1810 274.1810 3.2391 24.6119 274.9710 274.9710 0.0000 24.6500

List of Crossings for CD Waterline CD CD CD CD CD 0.0000 6.7500 13.5000 27.0000 40.5000 1.0000 2.0404 4.7512 8.3406 3.0000 2.5591 6.4438 10.9884 5.0000 0.0000 2.0667 7.2621 12.5723 7.0000 0.0000 1.7777 8.2030 13.9455 9.0000 0.0000 2.3733 9.4900 15.7015 11.0000 0.0000 4.5296 12.1624 17.7011 13.0000 4.3326 8.3503 14.8625 19.2481 15.0000 4.1347 8.1669 11.6683 16.9429 20.3940 17.0000 7.5854 11.0444 14.0555 18.4743 21.1950 19.0000 9.0000 12.3002 15.0500 19.1057 21.5133 21.0000 9.0000 12.3000 15.0499 19.1186 21.5437 23.0000 9.0000 12.3002 15.0498 19.1315 21.5738 Waterline CD CD CD CD CD 54.0000 67.5000 81.0000 94.5000 108.0000 1.0000 12.5164 16.1782 18.9962 20.8985 21.9710 3.0000 15.4427 18.9276 21.1215 22.2201 22.5000 5.0000 17.2346 20.4499 22.1164 22.4967 22.5000 7.0000 18.6518 21.4506 22.4306 22.5000 22.5000 9.0000 19.8991 22.0774 22.5049 22.5000 22.5000 11.0000 20.9351 22.4057 22.5000 22.5000 22.5000 13.0000 21.7221 22.4923 22.5000 22.5000 22.5000 15.0000 22.2181 22.5000 22.5000 22.5000 22.5000 17.0000 22.4534 22.5000 22.5000 22.5000 22.5000 19.0000 22.4931 22.5000 22.5000 22.5000 22.5000 21.0000 22.4932 22.5000 22.5000 22.5000 22.5000 23.0000 22.4936 22.5000 22.5000 22.5000 22.5000 Waterline CD CD CD CD CD 121.5000 202.5000 216.0000 229.5000 243.0000 1.0000 22.2733 22.2733 21.4694 18.2701 13.1996 3.0000 22.5000 22.5000 22.3183 20.1647 16.3269 5.0000 22.5000 22.5000 22.4547 21.2420 18.2465 7.0000 22.5000 22.5000 22.4990 21.9054 19.4212 9.0000 22.5000 22.5000 22.5001 21.9891 19.5967 11.0000 22.5000 22.5000 22.4999 21.9518 19.5510 13.0000 22.5000 22.5000 22.4997 21.8985 19.4401 15.0000 22.5000 22.5000 22.4996 21.8793 19.4026 17.0000 22.5000 22.5000 22.4997 21.8983 19.4594 19.0000 22.5000 22.5000 22.4982 21.8995 19.5681

EXAMPLE – Lines


-7-

21.0000 22.5000 22.5000 22.4977 21.9547 19.8669 23.0000 22.5000 22.5000 22.4991 22.0928 20.3514 Waterline CD CD CD CD CD 256.5000 263.2500 270.0000 271.3940 272.7880 1.0000 7.0455 3.8467 0.4377 3.0000 10.2559 6.5653 2.4958 1.4943 0.3891 5.0000 12.0489 7.9737 3.4592 2.5306 1.6349 7.0000 13.0392 8.6844 4.0886 3.1355 2.2153 9.0000 13.3019 8.9480 4.3862 3.4432 2.5030 11.0000 13.3220 8.9090 4.3260 3.3371 2.3550 13.0000 13.2418 8.6837 3.6788 2.6168 1.5485 15.0000 13.1739 8.3072 1.4680 0.0000 0.0000 17.0000 13.4445 8.3492 0.3062 0.0000 0.0000 19.0000 13.9876 9.1844 2.0001 0.0000 0.0000 21.0000 14.8367 10.5146 4.1178 2.5784 0.0000 23.0000 16.0007 12.1803 6.5400 5.0622 3.4206 Waterline CD 274.1810 5.0000 0.4976 7.0000 1.3701 9.0000 1.5671 11.0000 1.4303 13.0000 0.4735 15.0000 0.0000 17.0000 0.0000 19.0000 0.0000 21.0000 0.0000 23.0000 0.0000

EXMPLE – Lines


-8-

LINES PLAN

Scale 1:250 (for body plan only)

BODY PLAN

PROFILE VIEW

WATERLINE VIEW

LINES PLAN

EXMPLE – Form Calculations


-9-

• FORM CALCULATIONS

HYDROSTATICS

Hydrostatic Curves

50000 100000 150000 200000Displacement

95 100 105 110 115TPI

1400 1600 1800 2000 2200

MCT

134 136 138 140 142 144 146LCB LCF

20 40 60 80 100 120KMT VCB

510

1520

Dra

ft - m

etre

s



-10-

Hydrostatic Table

Draft Displt LCB VCB WPA LCF BML BMT KML KMT WSA TPI MCT CB CM CP CW (m) (t) (m) (m) (m^2) (m) (m) (m) (m) (m) (m^2) (t/cm) (t-m/cm) 1.00 8554.33 148.207 0.513 8839.08 147.441 3833.239 141.573 3833.752 142.086 8806.78 90.60 1214.47 0.673 0.968 0.695 0.7272.00 17712.92 147.660 1.030 9225.68 147.018 2056.104 74.179 2057.134 75.209 9569.76 94.56 1348.87 0.704 0.983 0.716 0.7593.00 27226.19 147.349 1.548 9462.76 146.581 1426.891 50.346 1428.438 51.894 10221.79 96.99 1438.84 0.723 0.988 0.732 0.7794.00 36971.60 147.140 2.065 9644.50 146.608 1099.721 38.370 1101.787 40.435 10841.76 98.86 1505.87 0.738 0.991 0.744 0.7945.00 46889.59 147.033 2.582 9778.24 146.684 893.572 31.114 896.154 33.696 11443.91 100.23 1551.82 0.749 0.993 0.755 0.8056.00 56940.36 146.974 3.099 9898.11 146.686 756.445 26.258 759.544 29.357 12032.00 101.46 1595.27 0.759 0.994 0.763 0.8157.00 67116.64 146.919 3.616 10002.78 146.451 658.226 22.718 661.842 26.334 12610.93 102.53 1636.22 0.767 0.995 0.771 0.8238.00 77383.68 146.821 4.133 10078.79 145.890 582.124 19.950 586.256 24.083 13180.98 103.31 1668.40 0.774 0.996 0.777 0.8309.00 87734.93 146.668 4.649 10164.03 145.099 525.240 17.812 529.889 22.461 13759.04 104.18 1706.74 0.780 0.996 0.783 0.837

10.00 98181.07 146.444 5.166 10257.39 143.992 481.604 16.105 486.771 21.271 14349.42 105.14 1751.28 0.786 0.997 0.789 0.84411.00 108730.35 146.142 5.685 10362.70 142.650 447.929 14.717 453.613 20.402 14954.11 106.22 1803.83 0.792 0.997 0.794 0.85312.00 119397.14 145.761 6.205 10483.20 141.079 422.213 13.568 428.418 19.772 15577.31 107.45 1867.08 0.797 0.997 0.799 0.86313.00 130196.01 145.303 6.728 10617.24 139.419 401.754 12.630 408.482 19.358 16213.89 108.83 1937.29 0.802 0.997 0.804 0.87414.00 141126.62 144.784 7.253 10735.00 137.756 382.990 11.792 390.243 19.045 16852.07 110.03 2001.85 0.808 0.998 0.810 0.88415.00 152173.09 144.210 7.780 10845.51 136.049 366.241 11.053 374.021 18.833 17495.53 111.17 2064.15 0.813 0.998 0.815 0.89316.00 163332.83 143.600 8.308 10948.34 134.650 350.562 10.417 358.869 18.725 18126.42 112.22 2120.67 0.818 0.998 0.820 0.90116.50 168951.55 143.293 8.572 11002.31 134.079 343.560 10.137 352.132 18.709 18438.12 112.77 2149.82 0.820 0.998 0.822 0.90617.00 174598.29 142.987 8.837 11054.13 133.652 336.817 9.872 345.654 18.709 18746.21 113.30 2178.06 0.823 0.998 0.825 0.91017.50 180271.04 142.688 9.102 11108.83 133.339 330.608 9.631 339.710 18.733 19053.68 113.87 2207.37 0.825 0.998 0.827 0.91418.00 185973.17 142.397 9.367 11164.02 133.058 324.848 9.402 334.215 18.770 19362.48 114.43 2237.52 0.828 0.998 0.830 0.91919.00 197421.56 141.856 9.898 11186.45 133.187 308.038 8.867 317.935 18.765 19953.29 114.66 2252.35 0.833 0.998 0.834 0.92120.00 208885.78 141.386 10.425 11209.92 133.472 293.147 8.390 303.572 18.815 20544.74 114.90 2267.94 0.837 0.998 0.838 0.92321.00 220384.09 140.984 10.951 11245.85 133.877 280.573 7.977 291.524 18.928 21139.89 115.27 2290.14 0.841 0.998 0.842 0.92622.00 231925.49 140.643 11.477 11292.62 134.409 269.875 7.616 281.352 19.093 21740.56 115.75 2318.18 0.845 0.998 0.846 0.92923.00 243515.98 140.359 12.002 11347.07 134.978 260.546 7.300 272.547 19.302 22345.47 116.31 2349.89 0.849 0.998 0.850 0.934



-11-

CROSS CURVES

Graph

24

68

1012

1416

KN

- m

etre

s2

deg

5 de

g7

deg

10 d

eg12

deg

20 d

eg30

deg

40 d

eg50

deg

60 d

egD

eck

Edg

e Im

mer

sion

2 4 6 8 10 12 14 16 18Draft - metres



-12-

Data Tables

KN's in metres Deck Edge Immersion

Heel 2.0 5.0 7.0 10.0 12.0 20.0 30.0 40.0 50.0 60.0 Heel KN Point Draft (deg) (m) x y z

2.000 2.618 6.423 8.526 10.629 11.636 14.143 15.511 15.864 15.602 14.986 3.000 1.812 4.516 6.273 8.577 9.731 12.706 14.648 15.541 15.793 15.705 4.000 1.412 3.529 4.936 6.995 8.238 11.572 13.921 15.258 15.944 16.235 56.81 16.20 215.65 22.5 23.8 5.000 1.177 2.943 4.121 5.881 7.030 10.632 13.313 15.001 16.069 16.420 51.33 16.17 215.65 22.5 23.8 6.000 1.025 2.562 3.587 5.126 6.150 9.824 12.797 14.777 16.109 16.399 46.97 15.80 215.65 22.5 23.8 7.000 0.919 2.297 3.216 4.597 5.522 9.116 12.351 14.587 15.988 16.259 43.11 15.14 215.65 22.5 23.8 8.000 0.841 2.104 2.948 4.218 5.069 8.492 11.960 14.419 15.768 16.047 39.71 14.36 215.65 22.5 23.8 9.000 0.784 1.963 2.751 3.940 4.737 7.976 11.612 14.198 15.490 15.790 36.84 13.51 215.65 22.5 23.8

10.000 0.743 1.859 2.606 3.734 4.490 7.574 11.298 13.918 15.176 15.508 34.07 12.53 215.65 22.5 23.8 11.000 0.712 1.783 2.500 3.581 4.307 7.268 11.015 13.595 14.839 15.214 31.44 11.49 215.65 22.5 23.8 12.000 0.690 1.729 2.423 3.469 4.172 7.040 10.737 13.238 14.485 14.932 29.07 10.41 215.65 22.5 23.8 13.000 0.676 1.690 2.367 3.389 4.075 6.871 10.428 12.854 14.121 14.654 26.80 9.34 215.65 22.5 23.8 14.000 0.665 1.663 2.329 3.334 4.008 6.748 10.105 12.447 13.764 14.368 24.43 8.30 215.65 22.5 23.8 15.000 0.658 1.645 2.306 3.299 3.965 6.664 9.781 12.023 13.404 14.076 22.01 7.34 215.65 22.5 23.8 16.000 0.654 1.636 2.293 3.280 3.939 6.608 9.457 11.596 13.032 13.774 19.60 6.47 215.65 22.5 23.8 16.500 0.653 1.634 2.290 3.274 3.932 6.574 9.296 11.386 12.841 13.619 18.40 6.06 215.65 22.5 23.8 17.000 0.653 1.634 2.288 3.270 3.927 6.528 9.134 11.177 12.646 13.462 17.16 5.64 215.65 22.5 23.8 17.500 0.654 1.634 2.287 3.269 3.925 6.471 8.971 10.970 12.448 13.302 15.89 5.20 215.65 22.5 23.8 18.000 0.655 1.635 2.288 3.269 3.926 6.402 8.807 10.766 12.246 13.140 14.61 4.78 215.65 22.5 23.8 19.000 0.655 1.638 2.293 3.277 3.934 6.231 8.495 10.369 11.835 12.809 12.09 3.96 215.65 22.5 23.8 20.000 0.657 1.643 2.302 3.290 3.912 6.013 8.190 9.987 11.426 12.472

9.56 3.15 215.65 22.5 23.8



-13-

SECTIONAL AREA CURVES

Graph

020

040

060

080

0S

ectio

nal A

rea

- sq

.met

res

4.00

met

res

8.00

met

res

16.5

0 m

etre

s17

.50

met

res

20.0

0 m

etre

s23

.00

met

res

0 50 100 150 200 250Distance from Origin - metres



-14-

Data Tables

Sectional Areas - sq.metres Vertical Moments of Sectional Areas - cu.metres

WL Heights 4.00 8.00 16.50 17.50 20.00 23.00 WL Heights 4.00 8.00 16.50 17.50 20.00 23.00 Station Station

-0.125 0.000 0.000 11.509 22.752 57.993 100.868 -0.125 0.000 0.000 181.053 372.433 1033.712 1955.531 0.000 0.000 0.000 24.142 39.239 83.765 137.751 0.000 0.000 0.000 371.098 627.964 1463.318 2624.017 0.250 0.990 1.989 63.463 85.486 146.563 220.364 0.250 3.591 7.956 907.143 1281.732 2427.375 4014.083 0.500 17.213 32.829 154.146 182.193 257.104 347.398 0.500 38.467 130.814 1774.341 2251.300 3656.226 5597.541 0.750 29.484 67.775 246.005 278.819 365.053 468.591 0.750 66.174 298.129 2623.381 3181.372 4798.524 7024.414 1.000 43.261 105.010 335.414 372.181 467.472 581.984 1.000 97.243 472.539 3416.679 4041.826 5828.799 8290.747 1.500 75.158 180.944 492.048 534.238 641.343 770.070 1.500 166.590 808.775 4695.633 5412.915 7421.188 10188.914 2.000 109.979 253.147 613.789 658.581 770.893 905.583 2.000 237.867 1104.475 5559.842 6321.307 8427.127 11323.003 2.500 138.054 305.178 685.282 730.282 842.782 977.782 2.500 293.228 1301.511 5965.006 6730.006 8839.381 11741.881 3.000 158.433 336.224 718.691 763.691 876.191 1011.191 3.000 330.359 1399.101 6084.442 6849.442 8958.817 11861.317 3.500 170.802 350.701 733.201 778.201 890.701 1025.701 3.500 350.678 1430.213 6115.838 6880.838 8990.213 11892.713 4.000 176.901 356.901 739.401 784.401 896.901 1031.901 4.000 358.038 1438.038 6123.663 6888.663 8998.038 11900.538 5.000 178.447 358.447 740.947 785.947 898.447 1033.447 5.000 359.340 1439.340 6124.965 6889.965 8999.340 11901.840 6.000 178.414 358.414 740.914 785.914 898.414 1033.414 6.000 359.317 1439.317 6124.942 6889.942 8999.317 11901.817 6.500 178.414 358.414 740.914 785.914 898.414 1033.414 6.500 359.317 1439.317 6124.942 6889.942 8999.317 11901.817 7.000 178.414 358.414 740.914 785.914 898.414 1033.414 7.000 359.317 1439.317 6124.942 6889.942 8999.317 11901.817 7.500 178.443 358.443 740.943 785.943 898.443 1033.443 7.500 359.337 1439.337 6124.962 6889.962 8999.337 11901.837 8.000 174.246 353.992 736.314 781.298 893.764 1028.701 8.000 354.036 1432.736 6116.223 6880.949 8989.686 11890.828 8.500 151.313 323.348 694.995 738.639 847.921 979.442 8.500 314.225 1350.005 5900.695 6642.653 8691.636 11519.660 9.000 113.229 262.467 591.061 629.463 726.663 845.500 9.000 245.697 1148.074 5168.340 5821.211 7643.686 10199.735 9.250 91.377 219.242 505.260 539.091 625.421 733.392 9.250 203.610 977.203 4479.025 5054.180 6673.303 8996.336 9.500 67.493 167.291 388.676 414.774 483.140 571.751 9.500 154.189 758.232 3466.256 3909.963 5192.300 7100.000 9.750 39.520 105.387 252.870 269.585 315.132 380.826 9.750 94.917 494.101 2291.221 2575.420 3430.781 4846.758

10.000 12.396 42.429 97.474 98.110 107.068 135.430 10.000 34.368 217.905 839.968 850.900 1021.297 1636.395 10.125 0.412 11.793 30.034 30.034 30.034 31.299

10.125 1.560 73.226 264.243 264.243 264.243 293.010



-15-

DEADWEIGHT SCALE

Draft(m)

2

4

6

8

10

12

14

16

18

Displ.SW

50000

100000

150000

200000

Displ.FW

20000

40000

60000

80000

100000

120000

140000

160000

180000

200000

DeadweightSW

20000

40000

60000

80000

100000

120000

140000

160000

180000

DeadweightFW

20000

40000

60000

80000

100000

120000

140000

160000

180000

Freeboard(m)

6

8

10

12

14

16

18

20

22

TPI(t/cm)

95

100

105

110

MCT(t-m/cm)

1400

1600

1800

2000

2200

EXMPLE – Bending Moments & Shearing Forces


-16-

• BENDING MOMENTS & SHEARING FORCES

IACS Limits moments and shear forces

X position +ve Shear Force -ve Shear Force Sag B.M. Hog B.M. Torsion M. Bulkhead Description(m) (t) (t) (t-m) (t-m) (t-m) Factor

0.000 0.00 0.00 0.0 0.0 0.0 0.0000 0.00L 54.000 50305.94 53973.11 2903988.1 2706678.2 0.0 0.0000 0.20L 81.000 50305.94 53973.11 4355982.1 4060017.4 0.0 0.0000 0.30L

108.000 41066.50 41066.50 5807976.2 5413356.5 0.0 0.0000 0.40L 162.000 41066.50 41066.50 5807976.2 5413356.5 0.0 0.0000 0.60L 175.500 49866.46 45686.22 5807976.2 5413356.5 0.0 0.0000 0.65L 189.000 58666.43 50305.94 4978265.3 4640019.8 0.0 0.0000 0.70L 229.500 58666.43 50305.94 2489132.7 2320009.9 0.0 0.0000 0.85L 270.000 0.00 0.00 0.0 0.0 0.0 0.0000 1.00L

Bending Moment Limits Shear Force Limits

EXMPLE – Lightweight Distribution


-17-

• LIGHTWEIGHT DISTRIBUTION

Data Tables

WEIGHT SUMMARY WEIGHT DISTRIBUTION

Item Weight LCG TCG VCG FSM Aft ext. Fwd ext. X Position Wt.aft Wt.fwd (t) (m) (m) (m) (t-m) (m) (m) (m) (t/m) (t/m)

1 638.00 3.520 0.000 14.560 0.00 -4.800 11.200 -4.80 0.000 40.4652 1370.00 25.400 0.000 14.560 0.00 11.200 38.400 11.20 50.510 75.8873 2183.30 60.220 0.000 14.560 0.00 38.400 80.900 19.20 80.759 67.7904 7190.40 142.540 0.000 14.560 0.00 80.900 204.150 22.40 69.364 135.1335 2611.70 228.700 0.000 14.560 0.00 204.150 258.550 24.00 136.591 166.8136 684.00 265.880 0.000 14.560 0.00 258.550 276.150 31.20 175.024 105.5667 357.00 31.360 0.000 14.560 0.00 24.000 38.400 38.40 110.759 51.3278 100.00 15.250 0.000 14.560 0.00 11.200 19.200 59.65 55.461 95.4619 204.00 62.200 0.000 14.560 0.00 59.650 64.750 64.75 96.453 56.453

10 204.00 86.850 0.000 14.560 0.00 84.300 89.400 80.90 59.595 62.38711 204.00 111.500 0.000 14.560 0.00 108.950 114.050 84.30 62.389 102.38912 204.00 136.150 0.000 14.560 0.00 133.600 138.700 89.40 102.392 62.39213 305.90 160.800 0.000 14.560 0.00 158.250 163.350 108.95 62.406 102.40614 305.90 185.450 0.000 14.560 0.00 182.900 188.000 114.05 102.410 62.41015 204.00 210.100 0.000 14.560 0.00 207.550 212.650 133.60 62.423 102.42316 204.00 234.750 0.000 14.560 0.00 232.200 237.300 138.70 102.427 62.42717 482.00 148.480 0.000 14.560 0.00 38.400 258.550 158.25 62.440 122.42118 64.00 3.350 0.000 14.560 0.00 -4.800 11.200 163.35 122.424 62.44419 36.10 148.480 0.000 14.560 0.00 38.400 258.550 182.90 62.458 122.43820 243.20 266.910 0.000 14.560 0.00 258.550 276.150 188.00 122.441 62.46121 27.80 16.950 0.000 14.560 0.00 -4.800 38.400 204.15 62.472 66.13122 237.10 148.480 0.000 14.560 0.00 38.400 258.550 207.55 64.377 104.37723 595.00 26.840 0.000 14.560 0.00 22.400 31.200 212.65 101.746 61.74624 504.00 24.800 0.000 14.560 0.00 11.200 38.400 232.20 51.661 91.66125 102.00 31.200 0.000 14.560 0.00 24.000 38.400 237.30 89.030 49.03026 19.20 148.480 0.000 14.560 0.00 38.400 258.550 258.55 38.067 74.23127 42.80 16.950 0.000 14.560 0.00 -4.800 38.400 276.15 31.133 0.00028 125.90 148.480 0.000 14.560 0.00 38.400 258.550

Total 19449.30 128.260 0.000 14.560 0.00

EXMPLE – Lightweight Distribution


-18-

Weight Graph

050

100

150

200

250

300

tonn

es/m

etre

0 50 100 150 200 250Position from Origin - metres

EXAMPLE – Loading Conditions


-19-

• LOADING CONDITIONS

In this topic are represented the reports of two homogenous Loading Conditions with stowage factor, 3/8241.0 mtsf = . The ship must comply both with the requirements of the IMO A.167 and the MSC.23(59) resolutions.

FULL LOAD DEPARTURE CONDITION

1DBTs

APT

BHT

BOSST

CW T+S T


ENRMFPT+CLa




Profile View (C.L.)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

BHTCWT+ST

DOTp


FOVFTK

FPT+CLaOBT VS2

Tank Top (2.50 m)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs


Z = 5.00 m

1FOT+S S p

1FOTs

2FOT+VSp

2FOTs


PURRM

Z = 13.00 m

1FOT+S S p

1FOTs

1TSTp

1TSTs

2FOT+VSp

2FOTs

2TSTp

2TSTs

3TSTp

3TSTs

4TSTp

4TSTs

5TSTp

5TSTs

BOSST

CRM

ENRM

FW T+DWTp

FWTs


V S 1

Z = 22.50 m

5DBTp 5DBTs

5TSTp 5TSTs

DUCT9

HOLD9

Section at Hold 9

4DBTp 4DBTs

4TSTp 4TSTs

DUCT6

HOLD6

Section at MidShip.

1DBTp 1DBTs

1TSTp 1TSTs

HOLD1

Section at HOLD 1

Key



-20-

Intact State Title Frames Cargo %

full SG Weight LCG TCG VCG FSM S

(t/m3) (t) (m) (m) (m) (t-m) MHOLDS No. 2 HOLD 250-279 CARGO 100.0 0.824 16888.5 222.09 0.00 13.12 [0.0] No. 3 HOLD 221-250 CARGO 100.0 0.824 16999.7 197.48 0.00 13.11 [0.0] No. 4 HOLD 192-221 CARGO 100.0 0.824 16358.0 173.12 0.00 13.28 [0.0] No. 5 HOLD 163-192 CARGO 100.0 0.824 16999.7 148.75 0.00 13.11 [0.0] No. 6 HOLD 134-163 CARGO 100.0 0.824 16999.7 124.10 0.00 13.11 [0.0] No. 7 HOLD 105-134 CARGO 100.0 0.824 16999.7 99.45 0.00 13.11 [0.0] No. 1 HOLD 279-307 CARGO 100.0 0.824 13309.0 245.73 0.00 13.75 [0.0] No. 8 HOLD 76-105 CARGO 100.0 0.824 16659.6 74.92 -0.00 13.25 [0.0] No. 9 HOLD 48-76 CARGO 100.0 0.824 14364.4 50.68 0.01 13.81 [0.0] Total HOLDS 145578.3 147.79 0.00 13.27 0.0 FUEL OIL TANKS No. 1 F.O.T. (P) 40-48 FO 98.0 0.990 683.5 35.34 -

15.67 17.45 387.1 I

No. 1 F.O.T. (S) 40-48 FO 98.0 0.990 683.6 35.34 15.67 17.45 387.1 I No. 2 F.O.T. (P) 17-40 FO 98.0 0.990 1060.3 24.64 -

14.74 18.93 451.9 I

No. 2 F.O.T. (S) 17-40 FO 98.0 0.990 1060.3 24.64 14.74 18.93 453.8 I Total FUEL OIL 3487.7 28.83 0.00 18.35 1679.9 DIESEL OIL TANKS D.O.T. (P) 25-44 DO 98.0 0.850 109.2 29.96 -3.90 1.70 177.2 I D.O.T. (S) 25-48 DO 98.0 0.850 151.1 31.86 4.22 1.68 298.9 I Total DIESEL OIL 260.3 31.06 0.81 1.69 476.1 LUBRICATION OIL TANKS L.O.T. (SUM) 44-48 LO 98.0 0.900 110.9 36.80 -3.00 14.66 51.8 I Total LUBRICATION OIL 110.9 36.80 -3.00 14.66 51.8 FRESH WATER TANKS F.W.T. & DWT (P) 10-14 FW 100.0 1.000 153.2 9.65 -9.74 21.18 0.0 I F.W.T. (S) 6-14 FW 100.0 1.000 278.8 8.21 9.43 21.19 0.0 I Total FRESH WATER 432.0 8.72 2.63 21.19 0.0 OTHER TANKS C.W.T. (S) 8-14 OTH 100.0 1.000 49.0 9.68 0.00 3.89 0.0 I Total OTHER 49.0 9.68 0.00 3.89 0.0 DWT CONSTANTS DEPARTURE

CREW & EFFECTS 3.1 32.88 0.00 31.41 0.0 DRY PROVISION STORE 7.9 26.80 0.00 25.59 0.0 STORE 61.0 111.56 0.00 19.40 0.0 VARIUS BILGE TKS 138.1 24.04 -8.41 2.57 0.0 WATER & OIL IN E/R 9.5 21.58 0.00 11.74 0.0 WATER & OIL IN HULL 124.9 97.20 0.00 1.90 0.0 Total DWT CONST. DEP. 344.6 66.14 -3.37 6.35 0.0 Lightweight 19449.3 128.26 0.00 14.56 0.0 Total Displacement 169712.1 142.30 -0.00 13.51 2207.8

Buoyancy 169711.3 142.28 -0.00 8.61 1719927.3 Total Buoyancy 169711.3 142.28 -0.00 8.61 1719927.3



-21-

Drafts at equilibrium angle

Draft at LCF 16.568 metresDraft aft at marks 16.913 metresDraft fwd at marks 16.189 metresDraft at AP 16.943 metresDraft at FP 16.185 metresMean draft at midships 16.564 metres

Hydrostatics at equilibrium angle

Density of water 1.0250 tonnes/cu.m Heel to port 0.00 degrees Trim by the stern 0.759 metres KG 13.511 metres FSC 0.013 metres KGf 13.524 metres GMt 5.219 metres BMt 10.134 metres BMl 345.302 metres Waterplane area 11039.545 sq.metres LCF 133.618 metres TCF -0.000 metres TPI 113.155 tonnes/cm MCT 2170.429 tonnes-m/cmShell thickness 19.000 mm

Propeller Immersion

Propeller tip immersion 8.543 metresRequired percentage immersion 100.000 % Actual percentage immersion 204.188 %

Righting Lever (GZ) Curve

0.0

0.5

1.0

1.5

2.0

2.5

GZ

- m

etre

sR

ight

ing

Leve

r (G

Z) C

urve

G

rain

hee

ling

0 10 20 30 40 50 60Heel - degrees



-22-

Heel to Port GZ GM Trim WLrad Freeboard Grain heeling (deg) (m) (m) (m) (m) (m) (m)

-5.00 -0.4588 5.3198 -0.721 16.494 5.04[0] 0.0000 0.00 -0.0001 5.2193 -0.759 16.564 7.01[0] 0.0000 5.00 0.4585 5.3198 -0.722 16.494 7.59[0] 0.0000

10.00 0.9304 5.5346 -0.626 16.289 7.56[0] 0.0000 15.00 1.4291 5.9683 -0.486 15.951 7.51[0] 0.0000 20.00 1.9538 5.3160 -0.311 15.493 7.42[0] 0.0000 25.00 2.3179 3.2249 -0.086 15.059 7.15[0] 0.0000 30.00 2.5294 1.8058 0.202 14.664 6.58[0] 0.0000 35.00 2.6353 0.8521 0.541 14.292 5.62[0] 0.0000 40.00 2.6850 0.1941 0.894 13.882 4.54[0] 0.0000 45.00 2.6371 -1.1908 1.236 13.402 3.39[0] 0.0000 50.00 2.4750 -2.3699 1.562 12.836 2.20[0] 0.0000 55.00 2.2243 -3.2576 1.869 12.182 0.99[0] 0.0000 60.00 1.9065 -3.9277 2.150 11.447 -0.24[0] 0.0000 65.00 1.5384 -4.4292 2.413 10.632 -1.47[0] 0.0000

Grain heeling

Property Value Units Area A 1.18975 m-radiansTotal Area A+B 1.18975 m-radiansSteady state angle 0.002 degrees Max. angle 40.000 degrees

IMO A167 Intact Stability criteria

# Criterion Actual Critical Value Value 1 Area under GZ curve up to 30 degrees > 0.055 mrad 0.731 0.055 2 Area under GZ curve from 30 to 40 deg. or downflood > 0.03 mrad 0.459 0.030 3 Area under GZ curve up to 40 deg. or downflood > 0.09 mrad 1.190 0.090 4 Maximum GZ to be at least 0.20 metre at 30 degrees or above 2.686 0.200 5 Maximum GZ to be at an angle > 25 degrees 40.587 25.000 6 Initial GM to be at least 0.15 metres 5.219 0.150

Grain criteria

# Criterion Actual Critical

Value Value

1 Initial GM to be at least 0.30 metres 5.219 0.300 2 Angle of heel grain heeling moments <= 12 degrees 0.002 12.000 3 Residual dynamic stability in mrad 1.190 0.075



-23-

Immersion Particulars - Deck Edge

Point X position Y position Z position Ht. above Flood

# (m) (m) (m) WL (m) Angle (deg) 0 -4.500 0.000 24.550 7.594 0.000 1 -4.500 6.500 24.550 7.594 0.000 2 0.000 9.000 24.425 7.482 0.000 3 6.750 12.299 24.254 7.330 0.000 4 13.500 15.050 24.131 7.226 0.000 5 55.200 22.500 23.799 7.011 0.000 6 215.650 22.500 23.799 7.462 0.000 7 229.500 22.164 23.809 7.511 0.000 8 243.000 20.603 23.874 7.614 0.000 9 256.500 16.704 24.055 7.833 0.000

10 270.000 8.372 24.429 8.244 0.000 11 274.971 0.000 24.650 8.479 59.064

Longitudinal Strength

-400

000

-200

000

020

0000

4000

00to

nnes

-met

res

Ben

ding

Mom

ent

Max

Sag

BM

Max

Hog

BM

-400

0-2

000

020

0040

00to

nnes

She

ar F

orce

Max

-ve

SF

Max

+ve

SF

-150

0-1

000

-500

050

010

00to

nnes

/met

reW

eigh

tB

uoya

ncy




-24-

Shearing Forces and Bending Moments

Distance Shearing % of Max Bending % of Max from Origin Force allowed Moment allowed

(m) (t) (t-m) 0.00 0.00L 118.7 0.0 1075.3 0.0

54.00 0.20L -425.7 7.7 -17276.9 5.8 81.00 0.30L 34.0 0.7 -20927.4 4.7

108.00 0.40L 80.2 1.9 -19236.7 3.2 162.00 0.60L -107.7 2.6 -24531.4 4.1 175.50 0.65L -127.9 2.7 -27973.5 4.7 189.00 0.70L -257.1 5.0 -30624.8 6.0 229.50 0.85L 462.9 7.7 -32996.7 13.0 270.00 1.00L 39.3 0.0 1436.2 0.0

Maximum BM 229.50 -32996.7

3D Condition Plan



-25-

FULL LOAD ARRIVAL CONDITION

1DBTs

APT

BHT

BOSST

CW T+ST


ENRMFPT+CLa




Profile View (C.L.)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

BHTCWT+ST

DOTp


FOVFTK

FPT+CLaOBT VS2

Tank Top (2.50 m)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs


Z = 5.00 m

1FOT+S S p

1FOTs

2FOT+VSp

2FOTs


PURRM

Z = 13.00 m

1FOT+S S p

1FOTs

1TSTp

1TSTs

2FOT+VSp

2FOTs

2TSTp

2TSTs

3TSTp

3TSTs

4TSTp

4TSTs

5TSTp

5TSTs

BOSST

CRM

ENRM

FW T+DWTp

FWTs


V S 1

Z = 22.50 m

5DBTp 5DBTs

5TSTp 5TSTs

DUCT9

HOLD9

Section at Hold 9

4DBTp 4DBTs

4TSTp 4TSTs

DUCT6

HOLD6

Section at MidShip.

1DBTp 1DBTs

1TSTp 1TSTs

HOLD1

Section at HOLD 1



-26-

Intact State

Title Frames Cargo % full SG Weight LCG TCG VCG FSM S (t/m3) (t) (m) (m) (m) (t-m) MHOLDS No. 2 HOLD 250-279 CARGO 100.0 0.824 16888.5 222.09 0.00 13.12 [0.0] No. 3 HOLD 221-250 CARGO 100.0 0.824 16999.7 197.48 0.00 13.11 [0.0] No. 4 HOLD 192-221 CARGO 100.0 0.824 16358.0 173.12 0.00 13.28 [0.0] No. 5 HOLD 163-192 CARGO 100.0 0.824 16999.7 148.75 0.00 13.11 [0.0] No. 6 HOLD 134-163 CARGO 100.0 0.824 16999.7 124.10 0.00 13.11 [0.0] No. 7 HOLD 105-134 CARGO 100.0 0.824 16999.7 99.45 0.00 13.11 [0.0] No. 1 HOLD 279-307 CARGO 100.0 0.824 13309.0 245.73 0.00 13.75 [0.0] No. 8 HOLD 76-105 CARGO 100.0 0.824 16659.6 74.92 -0.00 13.25 [0.0] No. 9 HOLD 48-76 CARGO 100.0 0.824 14364.4 50.68 0.01 13.81 [0.0] Total HOLDS 145578.3 147.79 0.00 13.27 0.0 WATER BALLAST TANKS No. 5 DB W.B.T. (P) 48-105 WB 23.5 1.025 608.0 67.35 -8.29 0.59 11845.7 I No. 5 DB W.B.T. (S) 48-105 WB 23.5 1.025 608.0 67.35 8.30 0.59 11834.1 I No. 5 TS W.B.T. (P) 48-105 WB 7.8 1.025 200.0 63.95 -21.07 17.97 253.5 I No. 5 TS W.B.T. (S) 48-105 WB 14.8 1.025 380.0 63.80 20.54 18.53 669.4 I A.P.T. (C) -5-14 WB 100.0 1.025 1085.6 5.31 0.02 15.58 0.0 I Total WATER BALLAST 2881.6 43.27 1.26 9.81 24602.7 FUEL OIL TANKS No. 2 F.O.T. (P) 17-40 FO 15.9 0.990 171.6 27.00 -13.74 13.86 209.6 I Total FUEL OIL 171.6 27.00 -13.74 13.86 209.6 DIESEL OIL TANKS D.O.T. (S) 25-48 DO 10.0 0.850 15.4 33.43 3.10 0.37 67.2 I Total DIESEL OIL 15.4 33.43 3.10 0.37 67.2 LUBRICATION OIL TANKS L.O.T. (SUM) 44-48 LO 98.0 0.900 110.9 36.80 -3.00 14.66 51.8 I Total LUBRICATION OIL 110.9 36.80 -3.00 14.66 51.8 FRESH WATER TANKS F.W.T. & DWT (P) 10-14 FW 10.0 1.000 15.3 9.65 -9.77 18.32 115.1 I F.W.T. (S) 6-14 FW 10.0 1.000 27.9 8.22 9.46 18.32 183.6 I Total FRESH WATER 43.2 8.72 2.64 18.32 298.7 OTHER TANKS C.W.T. (S) 8-14 OTH 100.0 1.000 49.0 9.68 0.00 3.89 0.0 I Total OTHER 49.0 9.68 0.00 3.89 0.0 DWT CONSTANTS ARRIVAL CREW & EFFECTS 3.1 32.88 0.00 31.41 0.0 DRY PROVISION STORE 0.8 26.80 0.00 25.59 0.0 STORE 61.0 111.56 0.00 19.40 0.0 VARIUS BILGE TKS 138.1 24.04 -8.41 2.57 0.0 WATER & OIL IN E/R 9.5 21.58 0.00 11.74 0.0 WATER & OIL IN HULL 124.9 97.20 0.00 1.90 0.0 Total DWT CONST. ARR. 337.5 66.97 -3.44 5.94 0.0 Lightweight 19449.3 128.26 0.00 14.56 0.0 Total Displacement 168636.9 143.31 0.00 13.35 25230.1

Buoyancy 168636.7 143.31 0.00 8.56 1712018.3 Total Buoyancy 168636.7 143.31 0.00 8.56 1712018.3



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Density of water 1.0250 tonnes/cu.m Heel to starboard 0.00 degrees Trim No trim KG 13.347 metres FSC 0.150 metres KGf 13.496 metres GMt 5.213 metres BMt 10.152 metres BMl 343.929 metres Waterplane area 10999.175 sq.metres LCF 134.110 metres TCF 0.001 metres TPI 112.742 tonnes/cm MCT 2148.115 tonnes-m/cmShell thickness 19.000 mm

Propeller Immersion

Propeller tip immersion 8.072 metresRequired percentage immersion 100.000 % Actual percentage immersion 198.438 %


0.0

0.5

1.0

1.5

2.0

2.5

GZ

- m

etre

sR

ight

ing

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r (G

Z) C

urve

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ling

0 10 20 30 40 50 60Heel - degrees



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Heel to Stbd GZ GM Trim WLrad Freeboard Grain heeling (deg) (m) (m) (m) (m) (m) (m)

-5.00 -0.4583 5.3162 0.036 16.402 8.07[0] 0.0000 0.00 -0.0003 5.2134 0.000 16.472 7.33[0] 0.0000 5.00 0.4578 5.3175 0.036 16.402 5.33[0] 0.0000

10.00 0.9302 5.5578 0.136 16.196 3.29[0] 0.0000 15.00 1.4331 6.0384 0.277 15.857 1.23[0] 0.0000 20.00 1.9698 5.5540 0.461 15.395 -0.86[0] 0.0000 25.00 2.3518 3.4138 0.734 14.951 -3.11[0] 0.0000 30.00 2.5762 1.9566 1.077 14.549 -5.51[0] 0.0000 35.00 2.6967 1.0433 1.469 14.166 -8.02[0] 0.0000 40.00 2.7568 0.3653 1.866 13.753 -10.54[0] 0.0000 45.00 2.7192 -1.0743 2.258 13.266 -13.02[0] 0.0000 50.00 2.5663 -2.2553 2.640 12.691 -15.42[0] 0.0000 55.00 2.3233 -3.1602 2.996 12.032 -17.71[0] 0.0000 60.00 2.0124 -3.8448 3.325 11.290 -19.87[0] 0.0000 65.00 1.6500 -4.3613 3.624 10.470 -21.89[0] 0.0000

Grain heeling

Property Value Units Area A 1.20680 m-radiansTotal Area A+B 1.20680 m-radiansSteady state angle 0.003 degrees Max. angle 40.000 degrees

IMO A167 Intact Stability criteria

# Criterion Actual Critical Value Value 1 Area under GZ curve up to 30 degrees > 0.055 mrad 0.738 0.055 2 Area under GZ curve from 30 to 40 deg. or downflood > 0.03 mrad 0.469 0.030 3 Area under GZ curve up to 40 deg. or downflood > 0.09 1.207 0.090 4 Maximum GZ to be at least 0.20 metre at 30 degrees or above 2.760 0.200 5 Maximum GZ to be at an angle > 25 degrees 41.011 25.000 6 Initial GM to be at least 0.15 metres 5.213 0.150

Grain criteria

# Criterion Actual Critical Value Value

1 Initial GM to be at least 0.30 metres 5.213 0.300 2 Angle of heel grain heeling moments <= 12 degrees 0.003 12.000 3 Residual dynamic stability in mrad 1.207 0.075



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Immersion Particulars - Deck Edge

Point X position Y position Z position Ht. above Flood # (m) (m) (m) WL (m) Angle (deg)

0 -4.500 0.000 24.550 8.078 0.000 1 -4.500 6.500 24.550 8.078 47.833 2 0.000 9.000 24.425 7.953 40.407 3 6.750 12.299 24.254 7.781 32.820 4 13.500 15.050 24.131 7.658 27.855 5 55.200 22.500 23.799 7.326 18.541 6 215.650 22.500 23.799 7.326 17.967 7 229.500 22.164 23.809 7.336 18.190 8 243.000 20.603 23.874 7.401 19.523 9 256.500 16.704 24.055 7.582 23.557

10 270.000 8.372 24.429 7.956 35.952 11 274.971 0.000 24.650 8.178 57.277

Longitudinal Strength

-400

000

-200

000

020

0000

4000

00to

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-met

res

Ben

ding

Mom

ent

Max

Sag

BM

Max

Hog

BM

-400

0-2

000

020

0040

00to

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She

ar F

orce

Max

-ve

SF

Max

+ve

SF

-150

0-1

000

-500

050

010

0015

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reW

eigh

tB

uoya

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Shearing Forces and Bending Moments

Distance Shearing % of Max Bending % of Max from Origin Force allowed Moment allowed

(m) (t) (t-m) 0.00 0.00L 296.3 0.0 1395.0 0.0

54.00 0.20L -2148.4 39.0 -49166.6 16.6 81.00 0.30L -225.4 4.1 -80491.8 18.1

108.00 0.40L 367.9 8.8 -75377.5 12.7 162.00 0.60L 408.6 9.8 -57782.9 9.8 175.50 0.65L 386.4 7.6 -54378.4 9.2 189.00 0.70L 231.7 3.9 -50371.9 9.9 229.50 0.85L 734.4 12.3 -37084.4 14.6 270.00 1.00L 39.7 0.0 1552.4 0.0

Maximum BM 81.00 -80491.8

3D Condition Plan

EXAMPLE – Damage Stability


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• DAMAGE STABILITY

The example ship is a reduced freeboard B-60 bulkcarrier according to the Int. Load

Line Convention of 1966. Based on this the ship must be able to survive flooding of any

compartment, with an assumed permeability of 0.95, thus in damage condition to stay afloat

at satisfactory equilibrium condition. Because the ship is over 225 m in length, the machinery

space is also assumed floodable, but with a permeability of 0.85.

The ship after damage must comply with the requirements of the SOLAS 1992 Part B-1

Reg.25-1 Cargo Ship Rules. In this approach the survival capability is assessed through

comparing the Required Subdivision Index, R, and the Attained Subdivision Index, A. The

condition to be satisfied is that A > R. To calculate A-Index, it is necessary to perform

damage stability calculations of the traditional kind for all possible combinations of

compartments assuming an initial KG equal to the limiting KG obtained from the appropriate

intact stability criteria (here IMO A.167) at the draft being used. The damage scenarios for the

ship in question are 522 for each draft.

PROBABILISTIC DAMAGE STABILITY

Probabilistic Data

Heeling to starboard

Main Particulars

Subdivision Length 280.075 metres Length b.p. 270.000 metres Breadth 45.000 metres Depth 23.800 metres Aft end from Origin 4.500 metres Subdivision Loadline 17.519 metres Lightest Service Draft 11.431 metres

Transverse Bulkheads

ID Position from AP metres T11.2 11.200 T38.4 38.400 T62.2 62.200 T86.85 86.850 T111.5 111.500 T136.15 136.150 T160.8 160.800 T185.45 185.450 T210.1 210.100 T234.75 234.750 T258.55 258.550



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Decks

ID Height above keel metres D2.5 2.682 *D9.6 9.600 *Dk16.5 16.500 D18.0a 18.000 D19.0 19.000

* = deck is below waterline; omitted from analysis Longitudinal Bulkheads

ID Mean dist. from CL metres L-2.1 2.100

Primary Zones

Zone Trans. Position Long. y-aft y-fwd 'b' Deck(s) Cond- H Hmax `v' Blkhds Blkhd(s) value ion value Zone 1 Aft end -4.500 D18.0a C1 18.000 24.519 0.069 T11.2 11.200 C2 18.000 18.431 0.938Zone 2 T11.2 11.200 T38.4 38.400 Zone 3 T38.4 38.400 L-2.1 2.100 2.100 20.126 Dk16.5 C1 17.519 24.519 0.000 T62.2 62.200 C2 16.500 18.431 0.724Zone 4 T62.2 62.200 L-2.1 2.100 2.100 20.400 Dk16.5 C1 17.519 24.519 0.000 T86.85 86.850 C2 16.500 18.431 0.724Zone 5 T86.85 86.850 L-2.1 2.100 2.100 20.400 Dk16.5 C1 17.519 24.519 0.000 T111.5 111.500 C2 16.500 18.431 0.724Zone 6 T111.5 111.500 L-2.1 2.100 2.100 20.400 Dk16.5 C1 17.519 24.519 0.000 T136.15 136.150 C2 16.500 18.431 0.724Zone 7 T136.15 136.150 L-2.1 2.100 2.100 20.400 Dk16.5 C1 17.519 24.519 0.000 T160.8 160.800 C2 16.500 18.431 0.724Zone 8 T160.8 160.800 L-2.1 2.100 2.100 20.400 Dk16.5 C1 17.519 24.519 0.000 T185.45 185.450 C2 16.500 18.431 0.724Zone 9 T185.45 185.450 L-2.1 2.100 2.100 20.400 Dk16.5 C1 17.519 24.519 0.000 T210.1 210.100 C2 16.500 18.431 0.724Zone 10 T210.1 210.100 L-2.1 2.100 2.100 20.221 Dk16.5 C1 17.519 24.519 0.000 T234.75 234.750 C2 16.500 18.431 0.724Zone 11 T234.75 234.750 Dk16.5 C1 17.519 24.519 0.000 T258.55 258.550 C2 16.500 18.431 0.724Zone 12 T258.55 258.550 D19.0 C1 19.000 24.519 0.212 Fwd end 275.575 C2 18.431 18.431 1.000



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Assessment

Loading Conditions

ID Loadline Draft KG * GM *

(m) (m) (m) C1 Subdivision Loadline 17.519 15.800 2.934C2 Partial Loadline 11.431 19.800 0.305

* = KG, GM values are the intact stability critical values Assessment according to SOLAS 1992 Part B-1 Reg.25-1 - Cargo Ship Rules

Sub- Load `wt’ `p' `r' `v' `p.r.v.wt' `s' Critical Attained Zone Cond. Case Index 1-01-0-0 C1 S 0.5000 0.0156 1.0000 0.0687 0.0005 1.0000 D002 0.0005 C2 S 0.5000 0.9384 0.0073 1.0000 D002 0.0073 1-01-0-1 C1 S 0.5000 0.0156 1.0000 0.9313 0.0073 1.0000 D005 0.0073 C2 S 0.5000 0.0616 0.0005 1.0000 D005 0.0005 1-02-0-0 C1 S 0.5000 0.0253 1.0000 1.0000 0.0127 1.0000 D011 0.0127 C2 S 0.5000 1.0000 0.0127 1.0000 D011 0.0127 1-03-0-0 C1 S 0.5000 0.0251 0.9558 0.0000 0.0000 1.0000 D016 0.0000 C2 S 0.5000 0.7241 0.0087 1.0000 D016 0.0087 1-03-0-1 C1 S 0.5000 0.0251 0.9558 1.0000 0.0120 1.0000 D018 0.0120 C2 S 0.5000 0.2759 0.0033 1.0000 D018 0.0033 1-03-1-0 C1 S 0.5000 0.0251 0.0442 0.0000 0.0000 1.0000 D021 0.0000 C2 S 0.5000 0.7241 0.0004 1.0000 D021 0.0004 1-03-1-1 C1 S 0.5000 0.0251 0.0442 1.0000 0.0006 1.0000 D022 0.0006 C2 S 0.5000 0.2759 0.0002 1.0000 D022 0.0002 1-04-0-0 C1 S 0.5000 0.0319 0.9591 0.0000 0.0000 1.0000 D023 0.0000 C2 S 0.5000 0.7241 0.0111 1.0000 D023 0.0111 1-04-0-1 C1 S 0.5000 0.0319 0.9591 1.0000 0.0153 1.0000 D027 0.0153 C2 S 0.5000 0.2759 0.0042 1.0000 D027 0.0042 1-04-1-0 C1 S 0.5000 0.0319 0.0409 0.0000 0.0000 1.0000 D034 0.0000 C2 S 0.5000 0.7241 0.0005 1.0000 D034 0.0005 1-04-1-1 C1 S 0.5000 0.0319 0.0409 1.0000 0.0007 1.0000 D036 0.0007 C2 S 0.5000 0.2759 0.0002 1.0000 D036 0.0002 1-05-0-0 C1 S 0.5000 0.0372 0.9591 0.0000 0.0000 1.0000 D038 0.0000 C2 S 0.5000 0.7241 0.0129 1.0000 D038 0.0129 1-05-0-1 C1 S 0.5000 0.0372 0.9591 1.0000 0.0178 1.0000 D042 0.0178 C2 S 0.5000 0.2759 0.0049 0.9212 D044 0.0045 1-05-1-0 C1 S 0.5000 0.0372 0.0409 0.0000 0.0000 1.0000 D049 0.0000 C2 S 0.5000 0.7241 0.0005 1.0000 D049 0.0005 1-05-1-1 C1 S 0.5000 0.0372 0.0409 1.0000 0.0008 1.0000 D051 0.0008 C2 S 0.5000 0.2759 0.0002 0.9430 D051 0.0002 1-06-0-0 C1 S 0.5000 0.0424 0.9591 0.0000 0.0000 1.0000 D052 0.0000 C2 S 0.5000 0.7241 0.0147 1.0000 D052 0.0147 1-06-0-1 C1 S 0.5000 0.0424 0.9591 1.0000 0.0204 1.0000 D056 0.0204 C2 S 0.5000 0.2759 0.0056 0.9047 D058 0.0051 1-06-1-0 C1 S 0.5000 0.0424 0.0409 0.0000 0.0000 1.0000 D063 0.0000



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Sub- Load `wt’ `p' `r' `v' `p.r.v.wt' `s' Critical Attained Zone Cond. Case Index C2 S 0.5000 0.7241 0.0006 1.0000 D063 0.0006 1-06-1-1 C1 S 0.5000 0.0424 0.0409 1.0000 0.0009 1.0000 D065 0.0009 C2 S 0.5000 0.2759 0.0002 0.9234 D065 0.0002 1-07-0-0 C1 S 0.5000 0.0450 0.9591 0.0000 0.0000 1.0000 D067 0.0000 C2 S 0.5000 0.7241 0.0156 1.0000 D067 0.0156 1-07-0-1 C1 S 0.5000 0.0450 0.9591 1.0000 0.0216 1.0000 D071 0.0216 C2 S 0.5000 0.2759 0.0059 0.8419 D073 0.0050 1-07-1-0 C1 S 0.5000 0.0450 0.0409 0.0000 0.0000 1.0000 D078 0.0000 C2 S 0.5000 0.7241 0.0007 1.0000 D078 0.0007 1-07-1-1 C1 S 0.5000 0.0450 0.0409 1.0000 0.0009 1.0000 D080 0.0009 C2 S 0.5000 0.2759 0.0003 0.8625 D080 0.0002 1-08-0-0 C1 S 0.5000 0.0450 0.9591 0.0000 0.0000 1.0000 D081 0.0000 C2 S 0.5000 0.7241 0.0156 1.0000 D081 0.0156 1-08-0-1 C1 S 0.5000 0.0450 0.9591 1.0000 0.0216 1.0000 D085 0.0216 C2 S 0.5000 0.2759 0.0059 0.7670 D087 0.0046 1-08-1-0 C1 S 0.5000 0.0450 0.0409 0.0000 0.0000 1.0000 D092 0.0000 C2 S 0.5000 0.7241 0.0007 1.0000 D092 0.0007 1-08-1-1 C1 S 0.5000 0.0450 0.0409 1.0000 0.0009 1.0000 D094 0.0009 C2 S 0.5000 0.2759 0.0003 0.8335 D094 0.0002 1-09-0-0 C1 S 0.5000 0.0450 0.9591 0.0000 0.0000 1.0000 D096 0.0000 C2 S 0.5000 0.7241 0.0156 1.0000 D096 0.0156 1-09-0-1 C1 S 0.5000 0.0450 0.9591 1.0000 0.0216 1.0000 D100 0.0216 C2 S 0.5000 0.2759 0.0059 0.5808 D102 0.0035 1-09-1-0 C1 S 0.5000 0.0450 0.0409 0.0000 0.0000 1.0000 D107 0.0000 C2 S 0.5000 0.7241 0.0007 1.0000 D107 0.0007 1-09-1-1 C1 S 0.5000 0.0450 0.0409 1.0000 0.0009 1.0000 D109 0.0009 C2 S 0.5000 0.2759 0.0003 0.6211 D109 0.0002 1-10-0-0 C1 S 0.5000 0.0450 0.9559 0.0000 0.0000 1.0000 D110 0.0000 C2 S 0.5000 0.7241 0.0156 0.9972 D111 0.0155 1-10-0-1 C1 S 0.5000 0.0450 0.9559 1.0000 0.0215 1.0000 D114 0.0215 C2 S 0.5000 0.2759 0.0059 0.4719 D116 0.0028 1-10-1-0 C1 S 0.5000 0.0450 0.0441 0.0000 0.0000 1.0000 D121 0.0000 C2 S 0.5000 0.7241 0.0007 1.0000 D121 0.0007 1-10-1-1 C1 S 0.5000 0.0450 0.0441 1.0000 0.0010 1.0000 D123 0.0010 C2 S 0.5000 0.2759 0.0003 0.5106 D123 0.0001 1-11-0-0 C1 S 0.5000 0.0422 1.0000 0.0000 0.0000 1.0000 D125 0.0000 C2 S 0.5000 0.7241 0.0153 1.0000 D125 0.0153 1-11-0-1 C1 S 0.5000 0.0422 1.0000 1.0000 0.0211 1.0000 D127 0.0211 C2 S 0.5000 0.2759 0.0058 1.0000 D127 0.0058 1-12-0-0 C1 S 0.5000 0.0479 1.0000 0.2116 0.0051 1.0000 D129 0.0051 C2 S 0.5000 1.0000 0.0239 1.0000 D129 0.0239 1-12-0-1 C1 S 0.5000 0.0479 1.0000 0.7884 0.0189 1.0000 D130 0.0189 C2 S 0.5000 0.0000 0.0000 1.0000 D130 0.0000 1 zone 0.4474 0.4382 2-01-0-0 C1 S 0.5000 0.0626 1.0000 0.0687 0.0007 1.0000 D137 0.0007 C2 S 0.5000 0.9384 0.0102 1.0000 D137 0.0102 2-01-0-1 C1 S 0.5000 0.0626 1.0000 0.9313 0.0101 1.0000 D145 0.0101 C2 S 0.5000 0.0616 0.0007 1.0000 D145 0.0007 2-02-0-0 C1 S 0.5000 0.0794 0.8864 0.0000 0.0000 1.0000 D154 0.0000 C2 S 0.5000 0.7241 0.0081 1.0000 D154 0.0081 2-02-0-1 C1 S 0.5000 0.0794 0.8864 1.0000 0.0113 0.0000 D159 0.0000



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Sub- Load `wt’ `p' `r' `v' `p.r.v.wt' `s' Critical Attained Zone Cond. Case Index C2 S 0.5000 0.2759 0.0031 0.8498 D160 0.0026 2-02-1-0 C1 S 0.5000 0.0794 0.1136 0.0000 0.0000 1.0000 D168 0.0000 C2 S 0.5000 0.7241 0.0023 1.0000 D168 0.0023 2-02-1-1 C1 S 0.5000 0.0794 0.1136 1.0000 0.0032 0.0000 D169 0.0000 C2 S 0.5000 0.2759 0.0009 0.8720 D169 0.0008 2-03-0-0 C1 S 0.5000 0.0908 0.8901 0.0000 0.0000 1.0000 D170 0.0000 C2 S 0.5000 0.7241 0.0096 1.0000 D170 0.0096 2-03-0-1 C1 S 0.5000 0.0908 0.8901 1.0000 0.0132 0.9752 D174 0.0129 C2 S 0.5000 0.2759 0.0036 0.8677 D176 0.0032 2-03-1-0 C1 S 0.5000 0.0908 0.1099 0.0000 0.0000 1.0000 D181 0.0000 C2 S 0.5000 0.7241 0.0027 1.0000 D181 0.0027 2-03-1-1 C1 S 0.5000 0.0908 0.1099 1.0000 0.0037 0.9612 D183 0.0036 C2 S 0.5000 0.2759 0.0010 0.9065 D183 0.0009 2-04-0-0 C1 S 0.5000 0.1096 0.8950 0.0000 0.0000 1.0000 D185 0.0000 C2 S 0.5000 0.7241 0.0115 0.9068 D186 0.0105 2-04-0-1 C1 S 0.5000 0.1096 0.8950 1.0000 0.0159 0.0000 D190 0.0000 C2 S 0.5000 0.2759 0.0044 0.0000 D190 0.0000 2-04-1-0 C1 S 0.5000 0.1096 0.1050 0.0000 0.0000 1.0000 D199 0.0000 C2 S 0.5000 0.7241 0.0031 0.9486 D199 0.0030 2-04-1-1 C1 S 0.5000 0.1096 0.1050 1.0000 0.0043 0.0000 D201 0.0000 C2 S 0.5000 0.2759 0.0012 0.0000 D201 0.0000 2-05-0-0 C1 S 0.5000 0.1263 0.8950 0.0000 0.0000 1.0000 D202 0.0000 C2 S 0.5000 0.7241 0.0133 0.9140 D203 0.0121 2-05-0-1 C1 S 0.5000 0.1263 0.8950 1.0000 0.0184 1.0000 D206 0.0184 C2 S 0.5000 0.2759 0.0051 0.2597 D208 0.0013 2-05-1-0 C1 S 0.5000 0.1263 0.1050 0.0000 0.0000 1.0000 D213 0.0000 C2 S 0.5000 0.7241 0.0036 0.9521 D213 0.0035 2-05-1-1 C1 S 0.5000 0.1263 0.1050 1.0000 0.0050 1.0000 D215 0.0050 C2 S 0.5000 0.2759 0.0014 0.4813 D215 0.0007 2-06-0-0 C1 S 0.5000 0.1397 0.8950 0.0000 0.0000 1.0000 D217 0.0000 C2 S 0.5000 0.7241 0.0149 0.4549 D218 0.0068 2-06-0-1 C1 S 0.5000 0.1397 0.8950 1.0000 0.0206 0.0000 D221 0.0000 C2 S 0.5000 0.2759 0.0057 0.0000 D221 0.0000 2-06-1-0 C1 S 0.5000 0.1397 0.1050 0.0000 0.0000 1.0000 D228 0.0000 C2 S 0.5000 0.7241 0.0040 0.5780 D228 0.0023 2-06-1-1 C1 S 0.5000 0.1397 0.1050 1.0000 0.0056 0.0000 D230 0.0000 C2 S 0.5000 0.2759 0.0015 0.0000 D230 0.0000 2-07-0-0 C1 S 0.5000 0.1427 0.8950 0.0000 0.0000 1.0000 D231 0.0000 C2 S 0.5000 0.7241 0.0150 0.6963 D232 0.0105 2-07-0-1 C1 S 0.5000 0.1427 0.8950 1.0000 0.0207 0.9960 D237 0.0206 C2 S 0.5000 0.2759 0.0057 0.0000 D235 0.0000 2-07-1-0 C1 S 0.5000 0.1427 0.1050 0.0000 0.0000 1.0000 D242 0.0000 C2 S 0.5000 0.7241 0.0041 0.8267 D242 0.0034 2-07-1-1 C1 S 0.5000 0.1427 0.1050 1.0000 0.0057 1.0000 D244 0.0057 C2 S 0.5000 0.2759 0.0016 0.0000 D244 0.0000 2-08-0-0 C1 S 0.5000 0.1427 0.8950 0.0000 0.0000 0.9580 D246 0.0000 C2 S 0.5000 0.7241 0.0150 0.0000 D246 0.0000 2-08-0-1 C1 S 0.5000 0.1427 0.8950 1.0000 0.0207 0.0000 D251 0.0000 C2 S 0.5000 0.2759 0.0057 0.0000 D251 0.0000 2-08-1-0 C1 S 0.5000 0.1427 0.1050 0.0000 0.0000 0.9518 D261 0.0000 C2 S 0.5000 0.7241 0.0041 0.0000 D261 0.0000



-36-

Sub- Load `wt’ `p' `r' `v' `p.r.v.wt' `s' Critical Attained Zone Cond. Case Index 2-08-1-1 C1 S 0.5000 0.1427 0.1050 1.0000 0.0057 0.0000 D263 0.0000 C2 S 0.5000 0.2759 0.0016 0.0000 D263 0.0000 2-09-0-0 C1 S 0.5000 0.1427 0.8910 0.0000 0.0000 1.0000 D264 0.0000 C2 S 0.5000 0.7241 0.0149 0.4243 D265 0.0063 2-09-0-1 C1 S 0.5000 0.1427 0.8910 1.0000 0.0206 0.0000 D268 0.0000 C2 S 0.5000 0.2759 0.0057 0.0000 D268 0.0000 2-09-1-0 C1 S 0.5000 0.1427 0.1090 0.0000 0.0000 1.0000 D275 0.0000 C2 S 0.5000 0.7241 0.0042 0.5765 D275 0.0024 2-09-1-1 C1 S 0.5000 0.1427 0.1090 1.0000 0.0058 0.0000 D277 0.0000 C2 S 0.5000 0.2759 0.0016 0.0000 D277 0.0000 2-10-0-0 C1 S 0.5000 0.1390 0.8923 0.0000 0.0000 0.0000 D279 0.0000 C2 S 0.5000 0.7241 0.0147 0.0000 D279 0.0000 2-10-0-1 C1 S 0.5000 0.1390 0.8923 1.0000 0.0203 0.0000 D285 0.0000 C2 S 0.5000 0.2759 0.0056 0.0000 D285 0.0000 2-10-1-0 C1 S 0.5000 0.1390 0.1077 0.0000 0.0000 0.0000 D297 0.0000 C2 S 0.5000 0.7241 0.0041 0.0000 D297 0.0000 2-10-1-1 C1 S 0.5000 0.1390 0.1077 1.0000 0.0056 0.0000 D300 0.0000 C2 S 0.5000 0.2759 0.0015 0.0000 D300 0.0000 2-11-0-0 C1 S 0.5000 0.1408 1.0000 0.0000 0.0000 1.0000 D302 0.0000 C2 S 0.5000 0.7241 0.0183 1.0000 D302 0.0183 2-11-0-1 C1 S 0.5000 0.1408 1.0000 0.2116 0.0054 1.0000 D304 0.0054 C2 S 0.5000 0.2759 0.0070 1.0000 D304 0.0070 2-11-0-2 C1 S 0.5000 0.1408 1.0000 0.7884 0.0200 1.0000 D306 0.0200 C2 S 0.5000 0.0000 0.0000 1.0000 D306 0.0000 2 zone 0.4849 0.2314 3-01-0-0 C1 S 0.5000 0.1193 0.8692 0.0000 0.0000 1.0000 D315 0.0000 C2 S 0.5000 0.7241 0.0003 1.0000 D315 0.0003 3-01-0-1 C1 S 0.5000 0.1193 0.8692 0.0687 0.0000 0.0000 D323 0.0000 C2 S 0.5000 0.2143 0.0001 0.7752 D327 0.0001 3-01-0-2 C1 S 0.5000 0.1193 0.8692 0.9313 0.0004 0.0000 D330 0.0000 C2 S 0.5000 0.0616 0.0000 0.7326 D332 0.0000 3-01-1-0 C1 S 0.5000 0.1193 0.1308 0.0000 0.0000 1.0000 D342 0.0000 C2 S 0.5000 0.7241 0.0006 1.0000 D342 0.0006 3-01-1-1 C1 S 0.5000 0.1193 0.1308 0.0687 0.0001 0.0000 D344 0.0000 C2 S 0.5000 0.2143 0.0002 0.7929 D344 0.0001 3-01-1-2 C1 S 0.5000 0.1193 0.1308 0.9313 0.0008 0.0000 D345 0.0000 C2 S 0.5000 0.0616 0.0001 0.7479 D345 0.0000 3-02-0-0 C1 S 0.5000 0.1503 0.8624 0.0000 0.0000 0.0000 D349 0.0000 C2 S 0.5000 0.7241 0.0009 0.9056 D354 0.0008 3-02-0-1 C1 S 0.5000 0.1503 0.8624 1.0000 0.0012 0.0000 D357 0.0000 C2 S 0.5000 0.2759 0.0003 0.0000 D357 0.0000 3-02-1-0 C1 S 0.5000 0.1503 0.1376 0.0000 0.0000 0.0000 D370 0.0000 C2 S 0.5000 0.7241 0.0010 0.9495 D370 0.0010 3-02-1-1 C1 S 0.5000 0.1503 0.1376 1.0000 0.0014 0.0000 D372 0.0000 C2 S 0.5000 0.2759 0.0004 0.0000 D372 0.0000 3-03-0-0 C1 S 0.5000 0.1741 0.8642 0.0000 0.0000 0.0000 D373 0.0000 C2 S 0.5000 0.7241 0.0010 0.6682 D374 0.0006 3-03-0-1 C1 S 0.5000 0.1741 0.8642 1.0000 0.0013 0.0000 D378 0.0000 C2 S 0.5000 0.2759 0.0004 0.0000 D378 0.0000 3-03-1-0 C1 S 0.5000 0.1741 0.1358 0.0000 0.0000 0.0000 D387 0.0000 C2 S 0.5000 0.7241 0.0011 0.8200 D387 0.0009



-37-

Sub- Load `wt’ `p' `r' `v' `p.r.v.wt' `s' Critical Attained Zone Cond. Case Index 3-03-1-1 C1 S 0.5000 0.1741 0.1358 1.0000 0.0015 0.0000 D389 0.0000 C2 S 0.5000 0.2759 0.0004 0.0000 D389 0.0000 3-04-0-0 C1 S 0.5000 0.2053 0.8697 0.0000 0.0000 0.0000 D390 0.0000 C2 S 0.5000 0.7241 0.0011 0.0000 D391 0.0000 3-04-0-1 C1 S 0.5000 0.2053 0.8697 1.0000 0.0015 0.0000 D395 0.0000 C2 S 0.5000 0.2759 0.0004 0.0000 D395 0.0000 3-04-1-0 C1 S 0.5000 0.2053 0.1303 0.0000 0.0000 0.0000 D404 0.0000 C2 S 0.5000 0.7241 0.0013 0.5383 D404 0.0007 3-04-1-1 C1 S 0.5000 0.2053 0.1303 1.0000 0.0017 0.0000 D406 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D406 0.0000 3-05-0-0 C1 S 0.5000 0.2311 0.8697 0.0000 0.0000 0.8425 D407 0.0000 C2 S 0.5000 0.7241 0.0013 0.0000 D407 0.0000 3-05-0-1 C1 S 0.5000 0.2311 0.8697 1.0000 0.0018 0.0000 D411 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D411 0.0000 3-05-1-0 C1 S 0.5000 0.2311 0.1303 0.0000 0.0000 0.8431 D418 0.0000 C2 S 0.5000 0.7241 0.0014 0.0000 D418 0.0000 3-05-1-1 C1 S 0.5000 0.2311 0.1303 1.0000 0.0020 0.0000 D420 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D420 0.0000 3-06-0-0 C1 S 0.5000 0.2453 0.8697 0.0000 0.0000 0.8245 D421 0.0000 C2 S 0.5000 0.7241 0.0014 0.0000 D421 0.0000 3-06-0-1 C1 S 0.5000 0.2453 0.8697 1.0000 0.0019 0.0000 D425 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D425 0.0000 3-06-1-0 C1 S 0.5000 0.2453 0.1303 0.0000 0.0000 0.8226 D432 0.0000 C2 S 0.5000 0.7241 0.0015 0.0000 D432 0.0000 3-06-1-1 C1 S 0.5000 0.2453 0.1303 1.0000 0.0021 0.0000 D434 0.0000 C2 S 0.5000 0.2759 0.0006 0.0000 D434 0.0000 3-07-0-0 C1 S 0.5000 0.2483 0.8697 0.0000 0.0000 0.0000 D435 0.0000 C2 S 0.5000 0.7241 0.0013 0.0000 D435 0.0000 3-07-0-1 C1 S 0.5000 0.2483 0.8697 1.0000 0.0018 0.0000 D440 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D440 0.0000 3-07-1-0 C1 S 0.5000 0.2483 0.1303 0.0000 0.0000 0.0000 D450 0.0000 C2 S 0.5000 0.7241 0.0015 0.0000 D450 0.0000 3-07-1-1 C1 S 0.5000 0.2483 0.1303 1.0000 0.0021 0.0000 D452 0.0000 C2 S 0.5000 0.2759 0.0006 0.0000 D452 0.0000 3-08-0-0 C1 S 0.5000 0.2483 0.8657 0.0000 0.0000 0.0000 D453 0.0000 C2 S 0.5000 0.7241 0.0013 0.0000 D453 0.0000 3-08-0-1 C1 S 0.5000 0.2483 0.8657 1.0000 0.0018 0.0000 D458 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D458 0.0000 3-08-1-0 C1 S 0.5000 0.2483 0.1343 0.0000 0.0000 0.0000 D468 0.0000 C2 S 0.5000 0.7241 0.0015 0.0000 D468 0.0000 3-08-1-1 C1 S 0.5000 0.2483 0.1343 1.0000 0.0021 0.0000 D470 0.0000 C2 S 0.5000 0.2759 0.0006 0.0000 D470 0.0000 3-09-0-0 C1 S 0.5000 0.2446 0.8663 0.0000 0.0000 0.0000 D471 0.0000 C2 S 0.5000 0.7241 0.0014 0.0000 D471 0.0000 3-09-0-1 C1 S 0.5000 0.2446 0.8663 1.0000 0.0019 0.0000 D477 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D477 0.0000 3-09-1-0 C1 S 0.5000 0.2446 0.1337 0.0000 0.0000 0.0000 D489 0.0000 C2 S 0.5000 0.7241 0.0015 0.0000 D489 0.0000 3-09-1-1 C1 S 0.5000 0.2446 0.1337 1.0000 0.0021 0.0000 D492 0.0000 C2 S 0.5000 0.2759 0.0006 0.0000 D492 0.0000 3-10-0-0 C1 S 0.5000 0.2463 0.8724 0.0000 0.0000 0.0000 D494 0.0000



-38-

Sub- Load `wt’ `p' `r' `v' `p.r.v.wt' `s' Critical Attained Zone Cond. Case Index C2 S 0.5000 0.7241 0.0013 0.0000 D494 0.0000 3-10-0-1 C1 S 0.5000 0.2463 0.8724 0.2116 0.0004 0.0000 D500 0.0000 C2 S 0.5000 0.2759 0.0005 0.0000 D500 0.0000 3-10-0-2 C1 S 0.5000 0.2463 0.8724 0.7884 0.0015 0.0000 D511 0.0000 C2 S 0.5000 0.0000 0.0000 0.0000 D511 0.0000 3-10-1-0 C1 S 0.5000 0.2463 0.1276 0.0000 0.0000 0.0000 D518 0.0000 C2 S 0.5000 0.7241 0.0018 0.0000 D518 0.0000 3-10-1-1 C1 S 0.5000 0.2463 0.1276 0.2116 0.0005 0.0000 D521 0.0000 C2 S 0.5000 0.2759 0.0007 0.0000 D521 0.0000 3-10-1-2 C1 S 0.5000 0.2463 0.1276 0.7884 0.0020 0.0000 D522 0.0000 C2 S 0.5000 0.0000 0.0000 0.0000 D522 0.0000 3 zone 0.0677 0.0052 Total 1.0000 0.6748

Subdivision index

Subdivision Length (Ls) 280.0750 metres Required Index 0.6334 Total A-value 0.6748



-39-

DETAILED STABILITY CALCULATIONS FOR TWO DAMAGE SCENARIOS

Damage Scenario: D011 - Subdivision Loadline

Title Cargo % full SG Weight LCG TCG VCG FSM S (t/m3) (t) (m) (m) (m) (t-m) M Total Displacement 180487.2 142.68 0.00 15.80 0.0

Buoyancy 189079.4 137.30 0.39 9.56 1749810.3 Damaged % perm 1FOTs: Title 95.0 67.1 1.025 -484.5 35.37 15.46 15.62 -15856.3 2FOTs: Title 95.0 60.5 1.025 -677.2 24.91 14.60 17.13 -26380.6 BHT: Title 95.0 95.0 1.025 -67.1 14.62 0.52 1.65 0.0 DOTs: Title 95.0 95.0 1.025 -176.6 31.88 4.23 1.70 0.0 ENRM: Title 85.0 64.0 1.025 -6940.8 25.77 0.99 12.29 -22303.3 VS2: Title 95.0 95.0 1.025 -199.3 25.08 0.00 1.48 0.0 DUCT: Title 95.0 95.0 1.025 -46.9 36.40 0.00 1.43 0.0 Total Damaged -8592.4 26.33 2.91 12.25 -64540.2 Total Buoyancy 180487.0 142.58 0.27 9.43 1685270.1

1DBTs

APT

BHT

BOSST

CWT+ST


ENRMFPT+CLa


SGRMnU P S T O O L 2U P S T O O L 3UPS TO O L 4 a U PS TO O L 4 fU P S T O O L 5U P S T O O L 6U P S T O O L 7U P S T O O L 8

VS2s to o l 2s t o o l 3s to o l4 a s to o l4 fs to o l 5s to o l 6s t o o l 7s t o o l 8

Profile View (C.L.)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

BHTCWT+ST

DOTp


FOVFTK

FPT+CLaOBT VS2

Tank Top (2.50 m)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

CWT+ST ENRM FPT+CLaHOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9 st ool2s t ool3s t ool4a st ool4fst oo l5st ool6st ool7s t ool8

Z = 5.00 m

1FOT+S S p

1FOTs

2FOT +VSp

2FOTs

APT ENRMFP S FPT+CLaHOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9L OTKS

PURRM

Z = 13.00 m

1FOT+S S p

1FOTs

1TSTp

1TSTs

2FOT+VSp

2FOTs

2TSTp

2TSTs

3TSTp

3TSTs

4TSTp

4TSTs

5TSTp

5TSTs

BOSST

CRM

ENRM

FW T+DW Tp

FWTs


V S 1

Z = 22.50 m

5DBTp 5DBTs

5TSTp 5TSTs

DUCT9

HOLD9

Section at Hold 9

4DBTp 4DBTs

4TSTp 4TSTs

DUCT6

HOLD6

Section at MidShip.

1DBTp 1DBTs

1TSTp 1TSTs

HOLD1

Section at HOLD 1



-40-




Density of water 1.0250 tonnes/cu.m Heel to starboard 2.41 degrees Trim by the stern 4.193 metres KG 15.800 metres FSC 0.000 metres KGf 15.800 metres GMt 2.942 metres BMt 9.337 metres BMl 288.517 metres Waterplane area 10502.469 sq.metres LCF 138.975 metres TCF 0.476 metres TPI 107.650 tonnes/cm MCT 1928.647 tonnes-m/cmShell thickness 19.000 mm


Heel to Stbd GZ GM Trim WLrad Freeboard(deg) (m) (m) (m) (m) (m)

-5.00 -0.3806 3.0329 -3.932 18.122 3.62[0]0.00 -0.1232 2.9281 -4.111 18.220 5.58[0]5.00 0.1349 3.0465 -4.267 18.179 3.57[0]

10.00 0.4104 3.3135 -4.381 17.998 1.53[0]15.00 0.6764 2.5097 -4.561 17.705 -0.54[0]20.00 0.8083 0.6255 -4.945 17.421 -2.75[0]25.00 0.7916 -0.7533 -5.321 17.182 -5.12[0]30.00 0.6914 -1.4106 -5.589 16.945 -7.59[0]35.00 0.5479 -1.8118 -5.787 16.681 -10.09[0]40.00 0.3726 -2.1883 -5.976 16.398 -12.63[0]45.00 0.1638 -2.6314 -6.158 16.085 -15.17[0]50.00 -0.0941 -3.2560 -6.345 15.703 -17.64[0]55.00 -0.4029 -3.7715 -6.514 15.224 -20.00[0]60.00 -0.7486 -4.1147 -6.643 14.642 -22.22[0]



-41-

-0.6

-0.4

-0.2

-0.0

0.2

0.4

0.6

GZ

- m

etre

sR

ight

ing

Leve

r (G

Z) C

urve

0 10 20 30 40 50Heel - degrees

SOLAS 1992 Part B-1 Reg.25-1 - Cargo Ship Rules

Equilibrium angle 2.411 degrees Range from equilibrium angle (max. 20.00 degrees) 20.000 degrees Maximum GZ value 0.815 metres Position of GZ value 22.411 degrees Downflood angle [opening index] None degrees Height of protected opening [opening index] None metres `S' Value 1.0000



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Damage Scenario: D232 - Partial Loadline

Title Cargo % full SG Weight LCG TCG VCG FSM S (t/m3) (t) (m) (m) (m) (t-m) M Total Displacement 113312.5 145.99 0.00 19.80 0.0

Buoyancy 130654.8 148.08 6.09 8.25 2082431.7 Damaged % perm 3DBTs: Title 95.0 95.0 1.025 -3245.8 160.80 14.30 2.09 0.0 HOLD5: Title 70.0 33.9 1.025 -7168.6 148.95 7.11 9.44 -76789.0 HOLD4: Title 70.0 34.1 1.025 -6928.0 173.17 7.26 9.80 -72157.7 Total Damaged -17342.4 160.84 8.51 8.21 -148946.8 Total Buoyancy 113312.5 146.13 5.71 8.26 1933484.9

1DBTs

APT

BHT

BOSST

CWT+ST


ENRMFPT+CLa


SGRMnU P S T O O L 2U P S T O O L 3UP S TO O L 4a UP S TO O L 4 fU P S T O O L 5U P S T O O L 6U P S T O O L 7U P S T O O L 8

VS2s to o l2s to o l3s to o l 4 a s to o l 4 fs to o l 5s to o l6s to o l7s to o l 8

Profile View (C.L.)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

BHTCWT+ST

DOTp


FOVFTK

FPT+CLaOBT VS2

Tank Top (2.50 m)

1DBTp

1DBTs

2DBTp

2DBTs

3DBTp

3DBTs

4DBTp

4DBTs

5DBTp

5DBTs

CWT+ ST ENRM FPT+CLaHOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9 st ool2s t ool3st ool4a st ool4fs t ool5s t ool6st ool7s t ool8

Z = 5.00 m

1FOT+S S p

1FOTs

2FOT+VSp

2FOTs

APT ENRMFP S FPT+CLaHOLD1HOLD2HOLD3HOLD4HOLD5HOLD6HOLD7HOLD8HOLD9LOTKS

PURRM

Z = 13.00 m

1FOT+S S p

1FOTs

1TSTp

1TSTs

2FOT+VSp

2FOTs

2TSTp

2TSTs

3TSTp

3TSTs

4TSTp

4TSTs

5TSTp

5TSTs

BOSST

CRM

ENRM

FW T+DW Tp

FWTs


V S 1

Z = 22.50 m

5DBTp 5DBTs

5TSTp 5TSTs

DUCT9

HOLD9

Section at Hold 9

4DBTp 4DBTs

4TSTp 4TSTs

DUCT6

HOLD6

Section at MidShip.

1DBTp 1DBTs

1TSTp 1TSTs

HOLD1

Section at HOLD 1



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Density of water 1.0250 tonnes/cu.m Heel to starboard 26.34 degrees Trim by the bow 3.220 metres KG 19.800 metres FSC 0.000 metres KGf 19.800 metres GMt 3.981 metres BMt 17.063 metres BMl 482.175 metres Waterplane area 10157.898 sq.metres LCF 138.260 metres TCF 6.793 metres TPI 104.118 tonnes/cm MCT 2023.571 tonnes-m/cmShell thickness 19.000 mm


Heel to Stbd GZ GM Trim WLrad Freeboard

(deg) (m) (m) (m) (m) (m) -5.00 -0.3174 -0.9990 2.018 13.019 8.73[0]0.00 -0.4098 -1.0743 1.975 13.078 10.72[0]5.00 -0.4990 -0.9276 2.017 13.019 8.73[0]

10.00 -0.5608 -0.3157 2.133 12.843 6.69[0]15.00 -0.5401 0.9399 2.306 12.536 4.63[0]20.00 -0.3923 2.5669 2.540 12.115 2.55[0]25.00 -0.0967 4.2469 2.799 11.580 0.48[0]30.00 0.2105 2.4085 3.211 10.985 -1.62[0]35.00 0.2385 -1.3514 3.731 10.373 -3.78[0]40.00 -0.0294 -4.1806 4.246 9.700 -5.93[0]45.00 -0.4971 -6.0337 4.734 8.963 -8.04[0]50.00 -1.0878 -7.1427 5.162 8.157 -10.09[0]55.00 -1.7480 -7.7598 5.518 7.279 -12.06[0]60.00 -2.4515 -8.1982 5.844 6.338 -13.92



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-2.0

-1.5

-1.0

-0.5

0.0

GZ

- m

etre

sR

ight

ing

Leve

r (G

Z) C

urve

0 10 20 30 40 50Heel - degrees

SOLAS 1992 Part B-1 Reg.25-1 - Cargo Ship Rules

Equilibrium angle 26.341 degrees Range from equilibrium angle (max. 20.00 degrees) 13.253 degrees Maximum GZ value 0.266 metres Position of GZ value 32.794 degrees Downflood angle [opening index] None degrees Height of protected opening [opening index] None metres `S' Value 0.6963

Tribon Example FINAL5.1

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