95264112 tribon example FINAL5 1

NATIONAL TECHNICAL UNIVERSITY OF ATHENS SCHOOL OF NAVAL ARCHITECTURE AND MARINE ENGINEERING SHIP DESIGN LABORATORY Stability Calculations for a Bulkcarrier An Example Using TRIBON M2 Initial Design by Sotiris SKOUPAS, Dipl.-Eng, Dr.-Eng cand -500 1000 2000 4000 Max Hog BM 2000 Max Sag BM tonnes-metres Max +ve SF Max -ve SF tonnes Shear Force 2000 00 2000 00 4000 00 1500 50 100 150 200 250 Position from Origin - metres 2.5 2.0 1.5 GZ - metres Weight Buoyancy tonnes/metre 500 4000 00 Bending Moment 4000 1000 1.0 0.5 0.0 10 20 30 Heel - degrees ATHENS 2003 40 50 60 TABLE OF CONTENTS INTRODUCTION TRIBON M2 – Initial Design EXAMPLE GENERAL PARTICULARS CAPACITY PLAN LINES FORM CALCULATIONS BENDING MOMENTS & SHEARING FORCES 16 LIGHTWEIGHT DISTRIBUTION 17 LOADING CONDITIONS 19 DAMAGE STABILITY 31 Presentation of the TRIBON M2 Initial Design -1- INTRODUCTION 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 Lines • Lines • Hull Form Surface & Compartment • Internal Subdivision • Superstructures • Other Structures Calc & Hydro • Hydrostatic Calculations • Intact & Damage Stability Calculations • Hydrodynamic Calculations The ship design procedure using the Tribon – Initial Design modules 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 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Capacity Plan -2EXAMPLE 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 Length B.P Breadth mld Depth mld Design Draft (moulded) Summer Load Draft (extreme) Displacement at Load Draft Lightship Weight Deadweight at Load Draft 280.075 270.000 45.000 23.800 16.500 17.519 180487 19449 161038 metres metres metres metres metres metres tonnes tonnes tonnes Subdivision Length (Ls) Aft end of Ls aft of AP Subdivision Load Line (ds) Lightest Service Draft (d0) 280.075 4.500 17.500 11.368 metres metres metres metres Sea Water Properties Plate thicknesses Draft Marks Aft & Fwd Propeller data Sea Water Properties Sea water density 1.02500 tonnes/cu.m Temperature 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 Aft Fwd Location 11.000 m 268.450 m Propeller data Location from 0.000 AP Diameter 8.200 Shaft height 4.300 Required 100.000 immersion metres metres metres % Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Capacity Plan • -3- CAPACITY PLAN SGRMn UP ST O L UP ST O HOLD9 ENRM APT O O L HOLD8 U PST O O L UPST O HOLD7 O L UP ST O O L a HOLD6 UP ST O UP ST O O L f HOLD5 HOLD4 O L U PST O HOLD3 O BOSST L HOLD2 HOLD1 FPT+CLa CW T+S T s to o l s to o l BHT VS2 DUC T DOTs DUCT9 DUCT8 s to o l DUCT7 s to o l a s to o l DUCT6 DUCT5 s to o l f DUCT4 s to o l s to o l DUCT3 DUCT2 1DBTs Profile View (C.L.) 4DBTp 5DBTp DOTp OBT BHT VS2 D U C T DOTs 3DBTp 2DBTp 1DBTp FOVFTK CW T +ST DUCT9 DUCT8 DUCT7 5DBTs DUCT6 DUCT5 4DBTs DUCT4 DUCT3 3DBTs DUCT2 FPT+CLa 1DBTs 2DBTs Tank Top (2.50 m) 4DBTp 3DBTp 2DBTp 5DBTp ENRM CWT+ ST HOLD9 1DBTp HOLD8 st ool8 st ool7 HOLD7 HOLD6 st ool6 st oo l HOLD5 st ool4a HOLD4 HOLD3 st ool4f HOLD2 st ool3 HOLD1 st oo l FPT+CLa 1DBTs 5DBTs 4DBTs 2DBTs 3DBTs Z = 5.00 m 1FOT+S S p 2FOT +VSp PURRM APT L OT KS ENRM HOLD9 HOLD8 HOLD7 HOLD6 HOLD5 HOLD4 HOLD3 HOLD2 HOLD1 FPT+CLa 2FOTs1FO Ts Z = 13.00 m 4TSTp 5TSTp 2FOT+VSp1FOT+S S p 3TSTp 2TSTp 1TSTp VS1 FW T+DW Tp SGRMn CRM HOLD9 ENRM U P S T O O L HOLD8 U P S T O O L HOLD7 U P S T O O L HOLD6 U P S T O O L HOLD5 UP ST O O L a HOLD4 UP ST O O L f HOLD3 U P S T O O L HOLD2 U P S T O O HOLD1 L BOSST FWTs 2FOTs 5TSTs 1FO Ts 4TSTs 3TSTs 1TSTs 2TSTs Z = 22.50 m 5TSTs 5TSTp 4TSTp HOLD9 5DBTp 5DBTs 4TSTs 4DBTp 1TSTp 1TSTs HOLD1 HOLD6 4DBTs DUCT9 DUCT6 Section at Hold Section at MidShip 1DBTp 1DBTs Section at HOLD Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA 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 265.9000 270.2271 273.0116 274.3564 275.1464 275.5574 275.3458 274.3903 271.0000 270.0784 271.2513 272.5713 273.8877 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 List of Crossings for Stern Profile Waterline Dist From Origin Half Width Height 0.0000 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 135.0000 9.5921 6.8491 7.3458 9.3891 9.4910 7.2278 0.7373 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 List of Crossings for Flat of Bottom CD Dist From Origin Half Width Height 14.8295 27.0000 14.8295 27.0000 0.0000 1.3800 0.0000 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Lines 40.5000 54.0000 67.5000 81.0000 94.5000 108.0000 121.5000 202.5000 216.0000 229.5000 243.0000 256.5000 263.2500 265.9000 -540.5000 54.0000 67.5000 81.0000 94.5000 108.0000 121.5000 202.5000 216.0000 229.5000 243.0000 256.5000 263.2500 265.9000 3.8950 7.0500 10.5750 14.1300 17.3500 19.7092 20.6000 20.6000 19.0811 14.5550 8.1100 2.0500 0.2250 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 List of Crossings for Flat of Side CD Dist From Origin Half Width Height 55.2000 55.2000 55.2000 67.5000 81.0000 94.5000 108.0000 121.5000 202.5000 215.6500 215.6500 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 23.8000 18.1000 13.8250 9.4724 5.6800 2.9250 1.9000 1.9000 23.7995 9.9996 67.5000 81.0000 94.5000 108.0000 121.5000 202.5000 215.6500 List of Crossings for Knuckle Kn18.1 CD Dist From Origin Half Width Height -4.5000 0.0000 6.7500 13.5000 27.0000 40.5000 54.0000 55.2000 -4.5000 0.0000 6.7500 13.5000 27.0000 40.5000 54.0000 55.2000 6.5000 9.0000 12.3000 15.0500 19.1000 21.5000 22.4925 22.5000 18.1000 18.1000 18.1000 18.1000 18.1000 18.1000 18.1000 18.1000 List of Crossings for Knuckle Transom Waterline Dist From Origin Half Width Height 14.6000 15.0000 17.0000 19.0000 21.0000 23.0000 24.5500 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 0.0000 1.0000 5.0000 6.5000 6.5000 6.5000 6.5000 14.6000 15.0000 17.0000 19.0000 21.0000 23.0000 24.5500 List of Crossings for P-line Deck CD Dist From Origin Half Width Height -4.5000 -4.5000 -4.5000 0.0000 6.7500 13.5000 0.0000 6.5000 9.0000 12.2993 15.0497 24.5500 24.5500 24.4250 24.2537 24.1312 0.0000 6.7500 13.5000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Lines 27.0000 40.5000 54.0000 67.5000 81.0000 94.5000 108.0000 121.5000 202.5000 216.0000 229.5000 243.0000 256.5000 263.2500 270.0000 271.3940 272.7880 274.1810 274.9710 -627.0000 40.5000 54.0000 67.5000 81.0000 94.5000 108.0000 121.5000 202.5000 216.0000 229.5000 243.0000 256.5000 263.2500 270.0000 271.3940 272.7880 274.1810 274.9710 19.1459 21.5910 22.4939 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.4999 22.1636 20.6026 16.7044 13.3805 8.3723 7.0242 5.4348 3.2391 0.0000 23.9533 23.8423 23.7998 23.7995 23.7995 23.7995 23.7995 23.7995 23.7995 23.7995 23.8086 23.8737 24.0555 24.2072 24.4286 24.4862 24.5475 24.6119 24.6500 List of Crossings for CD Waterline CD 6.7500 CD 13.5000 CD 27.0000 CD 40.5000 4.1347 7.5854 9.0000 9.0000 9.0000 0.0000 0.0000 0.0000 0.0000 4.3326 8.1669 11.0444 12.3002 12.3000 12.3002 2.0404 2.5591 2.0667 1.7777 2.3733 4.5296 8.3503 11.6683 14.0555 15.0500 15.0499 15.0498 4.7512 6.4438 7.2621 8.2030 9.4900 12.1624 14.8625 16.9429 18.4743 19.1057 19.1186 19.1315 8.3406 10.9884 12.5723 13.9455 15.7015 17.7011 19.2481 20.3940 21.1950 21.5133 21.5437 21.5738 Waterline CD 54.0000 CD 67.5000 CD 81.0000 CD 94.5000 CD 108.0000 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 12.5164 15.4427 17.2346 18.6518 19.8991 20.9351 21.7221 22.2181 22.4534 22.4931 22.4932 22.4936 16.1782 18.9276 20.4499 21.4506 22.0774 22.4057 22.4923 22.5000 22.5000 22.5000 22.5000 22.5000 18.9962 21.1215 22.1164 22.4306 22.5049 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 20.8985 22.2201 22.4967 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 21.9710 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 Waterline CD 121.5000 CD 202.5000 CD 216.0000 CD 229.5000 CD 243.0000 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 22.2733 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.2733 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 22.5000 21.4694 22.3183 22.4547 22.4990 22.5001 22.4999 22.4997 22.4996 22.4997 22.4982 18.2701 20.1647 21.2420 21.9054 21.9891 21.9518 21.8985 21.8793 21.8983 21.8995 13.1996 16.3269 18.2465 19.4212 19.5967 19.5510 19.4401 19.4026 19.4594 19.5681 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 CD 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Lines -7- 21.0000 23.0000 22.5000 22.5000 22.5000 22.5000 22.4977 22.4991 21.9547 22.0928 19.8669 20.3514 Waterline CD 256.5000 CD 263.2500 CD 270.0000 CD 271.3940 CD 272.7880 1.0000 3.0000 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 7.0455 10.2559 12.0489 13.0392 13.3019 13.3220 13.2418 13.1739 13.4445 13.9876 14.8367 16.0007 3.8467 6.5653 7.9737 8.6844 8.9480 8.9090 8.6837 8.3072 8.3492 9.1844 10.5146 12.1803 0.4377 2.4958 3.4592 4.0886 4.3862 4.3260 3.6788 1.4680 0.3062 2.0001 4.1178 6.5400 1.4943 2.5306 3.1355 3.4432 3.3371 2.6168 0.0000 0.0000 0.0000 2.5784 5.0622 0.3891 1.6349 2.2153 2.5030 2.3550 1.5485 0.0000 0.0000 0.0000 0.0000 3.4206 Waterline 5.0000 7.0000 9.0000 11.0000 13.0000 15.0000 17.0000 19.0000 21.0000 23.0000 CD 274.1810 0.4976 1.3701 1.5671 1.4303 0.4735 0.0000 0.0000 0.0000 0.0000 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA -8- EXMPLE – Lines LINES PLAN BODY PLAN LINES PLAN Scale 1:250 (for body plan only) PROFILE VIEW WATERLINE VIEW Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Loading Conditions -30- Shearing Forces and Bending Moments Distance from Origin (m) 0.00 54.00 81.00 108.00 162.00 175.50 189.00 229.50 270.00 Maximum BM 81.00 0.00L 0.20L 0.30L 0.40L 0.60L 0.65L 0.70L 0.85L 1.00L Shearing % of Max Force allowed (t) 296.3 0.0 -2148.4 39.0 -225.4 4.1 367.9 8.8 408.6 9.8 386.4 7.6 231.7 3.9 734.4 12.3 39.7 0.0 Bending % of Max Moment allowed (t-m) 1395.0 0.0 -49166.6 16.6 -80491.8 18.1 -75377.5 12.7 -57782.9 9.8 -54378.4 9.2 -50371.9 9.9 -37084.4 14.6 1552.4 0.0 -80491.8 3D Condition Plan Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability • -31- 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 Length b.p Breadth Depth Aft end from Origin Subdivision Loadline Lightest Service Draft Transverse Bulkheads 280.075 270.000 45.000 23.800 4.500 17.519 11.431 metres metres metres metres metres metres metres ID T11.2 T38.4 T62.2 T86.85 T111.5 T136.15 T160.8 T185.45 T210.1 T234.75 T258.55 Position from AP metres 11.200 38.400 62.200 86.850 111.500 136.150 160.800 185.450 210.100 234.750 258.550 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -32- 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 Zone Zone Zone Zone Zone Zone Zone Zone Zone Zone 10 Zone 11 Zone 12 Trans Blkhds Aft end T11.2 T11.2 T38.4 T38.4 T62.2 T62.2 T86.85 T86.85 T111.5 T111.5 T136.15 T136.15 T160.8 T160.8 T185.45 T185.45 T210.1 T210.1 T234.75 T234.75 T258.55 T258.55 Fwd end Position Long Blkhd(s) -4.500 11.200 11.200 38.400 38.400 L-2.1 62.200 62.200 L-2.1 86.850 86.850 L-2.1 111.500 111.500 L-2.1 136.150 136.150 L-2.1 160.800 160.800 L-2.1 185.450 185.450 L-2.1 210.100 210.100 L-2.1 234.750 234.750 258.550 258.550 275.575 y-aft y-fwd 'b' Deck(s) Cond- H Hmax `v' value ion value D18.0a C1 18.000 24.519 0.069 C2 18.000 18.431 0.938 2.100 2.100 20.126 Dk16.5 2.100 2.100 20.400 Dk16.5 2.100 2.100 20.400 Dk16.5 2.100 2.100 20.400 Dk16.5 2.100 2.100 20.400 Dk16.5 2.100 2.100 20.400 Dk16.5 2.100 2.100 20.400 Dk16.5 2.100 2.100 20.221 Dk16.5 Dk16.5 D19.0 C1 C2 C1 C2 C1 C2 C1 C2 C1 C2 C1 C2 C1 C2 C1 C2 C1 C2 C1 C2 17.519 16.500 17.519 16.500 17.519 16.500 17.519 16.500 17.519 16.500 17.519 16.500 17.519 16.500 17.519 16.500 17.519 16.500 19.000 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 24.519 18.431 0.000 0.724 0.000 0.724 0.000 0.724 0.000 0.724 0.000 0.724 0.000 0.724 0.000 0.724 0.000 0.724 0.000 0.724 0.212 1.000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -33- Assessment Loading Conditions Draft KG * (m) (m) C1 Subdivision Loadline 17.519 15.800 C2 Partial Loadline 11.431 19.800 * = KG, GM values are the intact stability critical values ID Loadline GM * (m) 2.934 0.305 Assessment according to SOLAS 1992 Part B-1 Reg.25-1 - Cargo Ship Rules SubLoad `wt’ Zone Cond 1-01-0-0 C1 S 0.5000 C2 S 0.5000 1-01-0-1 C1 S 0.5000 C2 S 0.5000 1-02-0-0 C1 S 0.5000 C2 S 0.5000 1-03-0-0 C1 S 0.5000 C2 S 0.5000 1-03-0-1 C1 S 0.5000 C2 S 0.5000 1-03-1-0 C1 S 0.5000 C2 S 0.5000 1-03-1-1 C1 S 0.5000 C2 S 0.5000 1-04-0-0 C1 S 0.5000 C2 S 0.5000 1-04-0-1 C1 S 0.5000 C2 S 0.5000 1-04-1-0 C1 S 0.5000 C2 S 0.5000 1-04-1-1 C1 S 0.5000 C2 S 0.5000 1-05-0-0 C1 S 0.5000 C2 S 0.5000 1-05-0-1 C1 S 0.5000 C2 S 0.5000 1-05-1-0 C1 S 0.5000 C2 S 0.5000 1-05-1-1 C1 S 0.5000 C2 S 0.5000 1-06-0-0 C1 S 0.5000 C2 S 0.5000 1-06-0-1 C1 S 0.5000 C2 S 0.5000 1-06-1-0 C1 S 0.5000 `p' `r' `v' 0.0156 1.0000 0.0687 0.9384 0.0156 1.0000 0.9313 0.0616 0.0253 1.0000 1.0000 1.0000 0.0251 0.9558 0.0000 0.7241 0.0251 0.9558 1.0000 0.2759 0.0251 0.0442 0.0000 0.7241 0.0251 0.0442 1.0000 0.2759 0.0319 0.9591 0.0000 0.7241 0.0319 0.9591 1.0000 0.2759 0.0319 0.0409 0.0000 0.7241 0.0319 0.0409 1.0000 0.2759 0.0372 0.9591 0.0000 0.7241 0.0372 0.9591 1.0000 0.2759 0.0372 0.0409 0.0000 0.7241 0.0372 0.0409 1.0000 0.2759 0.0424 0.9591 0.0000 0.7241 0.0424 0.9591 1.0000 0.2759 0.0424 0.0409 0.0000 `p.r.v.wt' 0.0005 0.0073 0.0073 0.0005 0.0127 0.0127 0.0000 0.0087 0.0120 0.0033 0.0000 0.0004 0.0006 0.0002 0.0000 0.0111 0.0153 0.0042 0.0000 0.0005 0.0007 0.0002 0.0000 0.0129 0.0178 0.0049 0.0000 0.0005 0.0008 0.0002 0.0000 0.0147 0.0204 0.0056 0.0000 `s' 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9212 1.0000 1.0000 1.0000 0.9430 1.0000 1.0000 1.0000 0.9047 1.0000 Critical Attained Case Index D002 0.0005 D002 0.0073 D005 0.0073 D005 0.0005 D011 0.0127 D011 0.0127 D016 0.0000 D016 0.0087 D018 0.0120 D018 0.0033 D021 0.0000 D021 0.0004 D022 0.0006 D022 0.0002 D023 0.0000 D023 0.0111 D027 0.0153 D027 0.0042 D034 0.0000 D034 0.0005 D036 0.0007 D036 0.0002 D038 0.0000 D038 0.0129 D042 0.0178 D044 0.0045 D049 0.0000 D049 0.0005 D051 0.0008 D051 0.0002 D052 0.0000 D052 0.0147 D056 0.0204 D058 0.0051 D063 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability SubZone 1-06-1-1 1-07-0-0 1-07-0-1 1-07-1-0 1-07-1-1 1-08-0-0 1-08-0-1 1-08-1-0 1-08-1-1 1-09-0-0 1-09-0-1 1-09-1-0 1-09-1-1 1-10-0-0 1-10-0-1 1-10-1-0 1-10-1-1 1-11-0-0 1-11-0-1 1-12-0-0 1-12-0-1 Load Cond C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S zone 2-01-0-0 C1 S C2 S 2-01-0-1 C1 S C2 S 2-02-0-0 C1 S C2 S 2-02-0-1 C1 S `wt’ 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 -34`p' `r' 0.0424 0.0409 0.0450 0.9591 0.0450 0.9591 0.0450 0.0409 0.0450 0.0409 0.0450 0.9591 0.0450 0.9591 0.0450 0.0409 0.0450 0.0409 0.0450 0.9591 0.0450 0.9591 0.0450 0.0409 0.0450 0.0409 0.0450 0.9559 0.0450 0.9559 0.0450 0.0441 0.0450 0.0441 0.0422 1.0000 0.0422 1.0000 0.0479 1.0000 0.0479 1.0000 `v' 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.2116 1.0000 0.7884 0.0000 0.0626 1.0000 0.0687 0.9384 0.0626 1.0000 0.9313 0.0616 0.0794 0.8864 0.0000 0.7241 0.0794 0.8864 1.0000 `p.r.v.wt' 0.0006 0.0009 0.0002 0.0000 0.0156 0.0216 0.0059 0.0000 0.0007 0.0009 0.0003 0.0000 0.0156 0.0216 0.0059 0.0000 0.0007 0.0009 0.0003 0.0000 0.0156 0.0216 0.0059 0.0000 0.0007 0.0009 0.0003 0.0000 0.0156 0.0215 0.0059 0.0000 0.0007 0.0010 0.0003 0.0000 0.0153 0.0211 0.0058 0.0051 0.0239 0.0189 0.0000 0.4474 0.0007 0.0102 0.0101 0.0007 0.0000 0.0081 0.0113 `s' 1.0000 1.0000 0.9234 1.0000 1.0000 1.0000 0.8419 1.0000 1.0000 1.0000 0.8625 1.0000 1.0000 1.0000 0.7670 1.0000 1.0000 1.0000 0.8335 1.0000 1.0000 1.0000 0.5808 1.0000 1.0000 1.0000 0.6211 1.0000 0.9972 1.0000 0.4719 1.0000 1.0000 1.0000 0.5106 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.0000 Critical Attained Case Index D063 0.0006 D065 0.0009 D065 0.0002 D067 0.0000 D067 0.0156 D071 0.0216 D073 0.0050 D078 0.0000 D078 0.0007 D080 0.0009 D080 0.0002 D081 0.0000 D081 0.0156 D085 0.0216 D087 0.0046 D092 0.0000 D092 0.0007 D094 0.0009 D094 0.0002 D096 0.0000 D096 0.0156 D100 0.0216 D102 0.0035 D107 0.0000 D107 0.0007 D109 0.0009 D109 0.0002 D110 0.0000 D111 0.0155 D114 0.0215 D116 0.0028 D121 0.0000 D121 0.0007 D123 0.0010 D123 0.0001 D125 0.0000 D125 0.0153 D127 0.0211 D127 0.0058 D129 0.0051 D129 0.0239 D130 0.0189 D130 0.0000 0.4382 D137 0.0007 D137 0.0102 D145 0.0101 D145 0.0007 D154 0.0000 D154 0.0081 D159 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability SubZone 2-02-1-0 2-02-1-1 2-03-0-0 2-03-0-1 2-03-1-0 2-03-1-1 2-04-0-0 2-04-0-1 2-04-1-0 2-04-1-1 2-05-0-0 2-05-0-1 2-05-1-0 2-05-1-1 2-06-0-0 2-06-0-1 2-06-1-0 2-06-1-1 2-07-0-0 2-07-0-1 2-07-1-0 2-07-1-1 2-08-0-0 2-08-0-1 2-08-1-0 Load Cond C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S `wt’ 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 -35`p' `r' 0.0794 0.1136 0.0794 0.1136 0.0908 0.8901 0.0908 0.8901 0.0908 0.1099 0.0908 0.1099 0.1096 0.8950 0.1096 0.8950 0.1096 0.1050 0.1096 0.1050 0.1263 0.8950 0.1263 0.8950 0.1263 0.1050 0.1263 0.1050 0.1397 0.8950 0.1397 0.8950 0.1397 0.1050 0.1397 0.1050 0.1427 0.8950 0.1427 0.8950 0.1427 0.1050 0.1427 0.1050 0.1427 0.8950 0.1427 0.8950 0.1427 0.1050 `v' 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 1.0000 0.2759 0.0000 0.7241 `p.r.v.wt' 0.0031 0.0000 0.0023 0.0032 0.0009 0.0000 0.0096 0.0132 0.0036 0.0000 0.0027 0.0037 0.0010 0.0000 0.0115 0.0159 0.0044 0.0000 0.0031 0.0043 0.0012 0.0000 0.0133 0.0184 0.0051 0.0000 0.0036 0.0050 0.0014 0.0000 0.0149 0.0206 0.0057 0.0000 0.0040 0.0056 0.0015 0.0000 0.0150 0.0207 0.0057 0.0000 0.0041 0.0057 0.0016 0.0000 0.0150 0.0207 0.0057 0.0000 0.0041 `s' 0.8498 1.0000 1.0000 0.0000 0.8720 1.0000 1.0000 0.9752 0.8677 1.0000 1.0000 0.9612 0.9065 1.0000 0.9068 0.0000 0.0000 1.0000 0.9486 0.0000 0.0000 1.0000 0.9140 1.0000 0.2597 1.0000 0.9521 1.0000 0.4813 1.0000 0.4549 0.0000 0.0000 1.0000 0.5780 0.0000 0.0000 1.0000 0.6963 0.9960 0.0000 1.0000 0.8267 1.0000 0.0000 0.9580 0.0000 0.0000 0.0000 0.9518 0.0000 Critical Attained Case Index D160 0.0026 D168 0.0000 D168 0.0023 D169 0.0000 D169 0.0008 D170 0.0000 D170 0.0096 D174 0.0129 D176 0.0032 D181 0.0000 D181 0.0027 D183 0.0036 D183 0.0009 D185 0.0000 D186 0.0105 D190 0.0000 D190 0.0000 D199 0.0000 D199 0.0030 D201 0.0000 D201 0.0000 D202 0.0000 D203 0.0121 D206 0.0184 D208 0.0013 D213 0.0000 D213 0.0035 D215 0.0050 D215 0.0007 D217 0.0000 D218 0.0068 D221 0.0000 D221 0.0000 D228 0.0000 D228 0.0023 D230 0.0000 D230 0.0000 D231 0.0000 D232 0.0105 D237 0.0206 D235 0.0000 D242 0.0000 D242 0.0034 D244 0.0057 D244 0.0000 D246 0.0000 D246 0.0000 D251 0.0000 D251 0.0000 D261 0.0000 D261 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability SubLoad `wt’ Zone Cond 2-08-1-1 C1 S 0.5000 C2 S 0.5000 2-09-0-0 C1 S 0.5000 C2 S 0.5000 2-09-0-1 C1 S 0.5000 C2 S 0.5000 2-09-1-0 C1 S 0.5000 C2 S 0.5000 2-09-1-1 C1 S 0.5000 C2 S 0.5000 2-10-0-0 C1 S 0.5000 C2 S 0.5000 2-10-0-1 C1 S 0.5000 C2 S 0.5000 2-10-1-0 C1 S 0.5000 C2 S 0.5000 2-10-1-1 C1 S 0.5000 C2 S 0.5000 2-11-0-0 C1 S 0.5000 C2 S 0.5000 2-11-0-1 C1 S 0.5000 C2 S 0.5000 2-11-0-2 C1 S 0.5000 C2 S 0.5000 zone 3-01-0-0 C1 S 0.5000 C2 S 0.5000 3-01-0-1 C1 S 0.5000 C2 S 0.5000 3-01-0-2 C1 S 0.5000 C2 S 0.5000 3-01-1-0 C1 S 0.5000 C2 S 0.5000 3-01-1-1 C1 S 0.5000 C2 S 0.5000 3-01-1-2 C1 S 0.5000 C2 S 0.5000 3-02-0-0 C1 S 0.5000 C2 S 0.5000 3-02-0-1 C1 S 0.5000 C2 S 0.5000 3-02-1-0 C1 S 0.5000 C2 S 0.5000 3-02-1-1 C1 S 0.5000 C2 S 0.5000 3-03-0-0 C1 S 0.5000 C2 S 0.5000 3-03-0-1 C1 S 0.5000 C2 S 0.5000 3-03-1-0 C1 S 0.5000 C2 S 0.5000 -36`p' `r' `v' 0.1427 0.1050 1.0000 0.2759 0.1427 0.8910 0.0000 0.7241 0.1427 0.8910 1.0000 0.2759 0.1427 0.1090 0.0000 0.7241 0.1427 0.1090 1.0000 0.2759 0.1390 0.8923 0.0000 0.7241 0.1390 0.8923 1.0000 0.2759 0.1390 0.1077 0.0000 0.7241 0.1390 0.1077 1.0000 0.2759 0.1408 1.0000 0.0000 0.7241 0.1408 1.0000 0.2116 0.2759 0.1408 1.0000 0.7884 0.0000 0.1193 0.8692 0.0000 0.7241 0.1193 0.8692 0.0687 0.2143 0.1193 0.8692 0.9313 0.0616 0.1193 0.1308 0.0000 0.7241 0.1193 0.1308 0.0687 0.2143 0.1193 0.1308 0.9313 0.0616 0.1503 0.8624 0.0000 0.7241 0.1503 0.8624 1.0000 0.2759 0.1503 0.1376 0.0000 0.7241 0.1503 0.1376 1.0000 0.2759 0.1741 0.8642 0.0000 0.7241 0.1741 0.8642 1.0000 0.2759 0.1741 0.1358 0.0000 0.7241 `p.r.v.wt' 0.0057 0.0016 0.0000 0.0149 0.0206 0.0057 0.0000 0.0042 0.0058 0.0016 0.0000 0.0147 0.0203 0.0056 0.0000 0.0041 0.0056 0.0015 0.0000 0.0183 0.0054 0.0070 0.0200 0.0000 0.4849 0.0000 0.0003 0.0000 0.0001 0.0004 0.0000 0.0000 0.0006 0.0001 0.0002 0.0008 0.0001 0.0000 0.0009 0.0012 0.0003 0.0000 0.0010 0.0014 0.0004 0.0000 0.0010 0.0013 0.0004 0.0000 0.0011 `s' 0.0000 0.0000 1.0000 0.4243 0.0000 0.0000 1.0000 0.5765 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.0000 0.7752 0.0000 0.7326 1.0000 1.0000 0.0000 0.7929 0.0000 0.7479 0.0000 0.9056 0.0000 0.0000 0.0000 0.9495 0.0000 0.0000 0.0000 0.6682 0.0000 0.0000 0.0000 0.8200 Critical Attained Case Index D263 0.0000 D263 0.0000 D264 0.0000 D265 0.0063 D268 0.0000 D268 0.0000 D275 0.0000 D275 0.0024 D277 0.0000 D277 0.0000 D279 0.0000 D279 0.0000 D285 0.0000 D285 0.0000 D297 0.0000 D297 0.0000 D300 0.0000 D300 0.0000 D302 0.0000 D302 0.0183 D304 0.0054 D304 0.0070 D306 0.0200 D306 0.0000 0.2314 D315 0.0000 D315 0.0003 D323 0.0000 D327 0.0001 D330 0.0000 D332 0.0000 D342 0.0000 D342 0.0006 D344 0.0000 D344 0.0001 D345 0.0000 D345 0.0000 D349 0.0000 D354 0.0008 D357 0.0000 D357 0.0000 D370 0.0000 D370 0.0010 D372 0.0000 D372 0.0000 D373 0.0000 D374 0.0006 D378 0.0000 D378 0.0000 D387 0.0000 D387 0.0009 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability SubLoad `wt’ Zone Cond 3-03-1-1 C1 S 0.5000 C2 S 0.5000 3-04-0-0 C1 S 0.5000 C2 S 0.5000 3-04-0-1 C1 S 0.5000 C2 S 0.5000 3-04-1-0 C1 S 0.5000 C2 S 0.5000 3-04-1-1 C1 S 0.5000 C2 S 0.5000 3-05-0-0 C1 S 0.5000 C2 S 0.5000 3-05-0-1 C1 S 0.5000 C2 S 0.5000 3-05-1-0 C1 S 0.5000 C2 S 0.5000 3-05-1-1 C1 S 0.5000 C2 S 0.5000 3-06-0-0 C1 S 0.5000 C2 S 0.5000 3-06-0-1 C1 S 0.5000 C2 S 0.5000 3-06-1-0 C1 S 0.5000 C2 S 0.5000 3-06-1-1 C1 S 0.5000 C2 S 0.5000 3-07-0-0 C1 S 0.5000 C2 S 0.5000 3-07-0-1 C1 S 0.5000 C2 S 0.5000 3-07-1-0 C1 S 0.5000 C2 S 0.5000 3-07-1-1 C1 S 0.5000 C2 S 0.5000 3-08-0-0 C1 S 0.5000 C2 S 0.5000 3-08-0-1 C1 S 0.5000 C2 S 0.5000 3-08-1-0 C1 S 0.5000 C2 S 0.5000 3-08-1-1 C1 S 0.5000 C2 S 0.5000 3-09-0-0 C1 S 0.5000 C2 S 0.5000 3-09-0-1 C1 S 0.5000 C2 S 0.5000 3-09-1-0 C1 S 0.5000 C2 S 0.5000 3-09-1-1 C1 S 0.5000 C2 S 0.5000 3-10-0-0 C1 S 0.5000 -37`p' `r' `v' 0.1741 0.1358 1.0000 0.2759 0.2053 0.8697 0.0000 0.7241 0.2053 0.8697 1.0000 0.2759 0.2053 0.1303 0.0000 0.7241 0.2053 0.1303 1.0000 0.2759 0.2311 0.8697 0.0000 0.7241 0.2311 0.8697 1.0000 0.2759 0.2311 0.1303 0.0000 0.7241 0.2311 0.1303 1.0000 0.2759 0.2453 0.8697 0.0000 0.7241 0.2453 0.8697 1.0000 0.2759 0.2453 0.1303 0.0000 0.7241 0.2453 0.1303 1.0000 0.2759 0.2483 0.8697 0.0000 0.7241 0.2483 0.8697 1.0000 0.2759 0.2483 0.1303 0.0000 0.7241 0.2483 0.1303 1.0000 0.2759 0.2483 0.8657 0.0000 0.7241 0.2483 0.8657 1.0000 0.2759 0.2483 0.1343 0.0000 0.7241 0.2483 0.1343 1.0000 0.2759 0.2446 0.8663 0.0000 0.7241 0.2446 0.8663 1.0000 0.2759 0.2446 0.1337 0.0000 0.7241 0.2446 0.1337 1.0000 0.2759 0.2463 0.8724 0.0000 `p.r.v.wt' 0.0015 0.0004 0.0000 0.0011 0.0015 0.0004 0.0000 0.0013 0.0017 0.0005 0.0000 0.0013 0.0018 0.0005 0.0000 0.0014 0.0020 0.0005 0.0000 0.0014 0.0019 0.0005 0.0000 0.0015 0.0021 0.0006 0.0000 0.0013 0.0018 0.0005 0.0000 0.0015 0.0021 0.0006 0.0000 0.0013 0.0018 0.0005 0.0000 0.0015 0.0021 0.0006 0.0000 0.0014 0.0019 0.0005 0.0000 0.0015 0.0021 0.0006 0.0000 `s' 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.5383 0.0000 0.0000 0.8425 0.0000 0.0000 0.0000 0.8431 0.0000 0.0000 0.0000 0.8245 0.0000 0.0000 0.0000 0.8226 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Critical Attained Case Index D389 0.0000 D389 0.0000 D390 0.0000 D391 0.0000 D395 0.0000 D395 0.0000 D404 0.0000 D404 0.0007 D406 0.0000 D406 0.0000 D407 0.0000 D407 0.0000 D411 0.0000 D411 0.0000 D418 0.0000 D418 0.0000 D420 0.0000 D420 0.0000 D421 0.0000 D421 0.0000 D425 0.0000 D425 0.0000 D432 0.0000 D432 0.0000 D434 0.0000 D434 0.0000 D435 0.0000 D435 0.0000 D440 0.0000 D440 0.0000 D450 0.0000 D450 0.0000 D452 0.0000 D452 0.0000 D453 0.0000 D453 0.0000 D458 0.0000 D458 0.0000 D468 0.0000 D468 0.0000 D470 0.0000 D470 0.0000 D471 0.0000 D471 0.0000 D477 0.0000 D477 0.0000 D489 0.0000 D489 0.0000 D492 0.0000 D492 0.0000 D494 0.0000 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability SubZone 3-10-0-1 3-10-0-2 3-10-1-0 3-10-1-1 3-10-1-2 zone Total Load Cond C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S C1 S C2 S -38- `wt’ 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 `p' `r' 0.2463 0.8724 0.2463 0.8724 0.2463 0.1276 0.2463 0.1276 0.2463 0.1276 `v' 0.7241 0.2116 0.2759 0.7884 0.0000 0.0000 0.7241 0.2116 0.2759 0.7884 0.0000 `p.r.v.wt' 0.0013 0.0004 0.0005 0.0015 0.0000 0.0000 0.0018 0.0005 0.0007 0.0020 0.0000 0.0677 1.0000 `s' 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Critical Attained Case Index D494 0.0000 D500 0.0000 D500 0.0000 D511 0.0000 D511 0.0000 D518 0.0000 D518 0.0000 D521 0.0000 D521 0.0000 D522 0.0000 D522 0.0000 0.0052 0.6748 Subdivision index Subdivision Length (Ls) 280.0750 metres Required Index 0.6334 Total A-value 0.6748 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -39- DETAILED STABILITY CALCULATIONS FOR TWO DAMAGE SCENARIOS Damage Scenario: D011 - Subdivision Loadline SGRMn UP ST O O L U PST O HOLD9 ENRM APT O L HOLD8 U PS TO O L UPS T O HOLD7 O UPS T O O L a L HOLD6 U PS T O O L f HOLD5 HOLD4 UP ST O O L U PST O HOLD3 O BOSST L HOLD2 HOLD1 FPT+CLa CWT+S T s too l BHT VS2 DUCT DOT s DUCT9 s to ol DUCT8 s to o l DUCT7 s to o l DUCT6 s to o l a s too l s to o l f DUCT5 DUCT4 s to o l DUCT3 DUCT2 1DBTs Profile View (C.L.) 4DBTp 5DBTp DOTp BHT VS2 D U C T DOTs 3DBTp 2DBTp 1DBTp FOVFTK OBT CWT+ ST DUCT9 DUCT8 DUCT7 5DBTs DUCT6 DUCT5 4DBTs DUCT4 DUCT3 3DBTs DUCT2 FPT+CLa 1DBTs 2DBTs Tank Top (2.50 m) 4DBTp 3DBTp 2DBTp 5DBTp ENRM CWT+ ST HOLD9 1DBTp HOLD8 s t o ol8 st o ol7 HOLD7 HOLD6 st ool6 st oo l HOLD5 HOLD4 s t ool4a HOLD3 st ool4 f HOLD2 s t o ol3 HOLD1 st o ol2 FPT+CLa 1DBTs 5DBTs 4DBTs 2DBTs 3DBTs Z = 5.00 m 1FOT+S S p 2FOT +VSp PURRM L OTKS APTFP S HOLD9 ENRM HOLD8 HOLD7 HOLD6 HOLD5 HOLD4 HOLD3 HOLD2 HOLD1 FPT+CLa 2FOTs1FOTs Z = 13.00 m 4TSTp 5TSTp 2FOT+VSp1FOT+S S p 3TSTp 2TSTp 1TSTp VS1 FW T+DW Tp CRM SGRMn HOLD9 ENRM UP ST O O HOLD8 L U PST O O L HOLD7 U PST O O HOLD6 L U PS T O O L HOLD5 UPS T O O L a HOLD4 UP ST O O L f HOLD3 U P S T O O L HOLD2 U P S T O O HOLD1 L BOSST FWTs 2FOTs 5TSTs 1FOTs 4TSTs 3TSTs 1TSTs 2TSTs Z = 22.50 m 5TSTs 5TSTp 4TSTp HOLD9 5DBTp 5DBTs 4DBTp D UCT6 Section at MidShip Total Displacement Buoyancy Damaged 1FOTs: Title 2FOTs: Title BHT: Title DOTs: Title ENRM: Title VS2: Title DUCT: Title Total Damaged Total Buoyancy 1DBTp 4DBTs DU CT9 Cargo % full 1TSTs HOLD1 Section at Hold Title 1TSTp 4TSTs HOLD6 1DBTs Section at HOLD SG Weight LCG TCG VCG (t/m3) (t) (m) (m) (m) 180487.2 142.68 0.00 15.80 FSM S (t-m) M 0.0 189079.4 137.30 0.39 9.56 1749810.3 % perm 95.0 95.0 95.0 95.0 85.0 95.0 95.0 67.1 60.5 95.0 95.0 64.0 95.0 95.0 1.025 1.025 1.025 1.025 1.025 1.025 1.025 -484.5 -677.2 -67.1 -176.6 -6940.8 -199.3 -46.9 -8592.4 180487.0 35.37 24.91 14.62 31.88 25.77 25.08 36.40 26.33 142.58 15.46 14.60 0.52 4.23 0.99 0.00 0.00 2.91 0.27 15.62 -15856.3 17.13 -26380.6 1.65 0.0 1.70 0.0 12.29 -22303.3 1.48 0.0 1.43 0.0 12.25 -64540.2 9.43 1685270.1 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -40- Drafts at equilibrium angle Draft at LCF Draft aft at marks Draft fwd at marks Draft at AP Draft at FP Mean draft at midships 18.171 20.333 16.141 20.333 16.141 18.237 metres metres metres metres metres metres Hydrostatics at equilibrium angle Density of water Heel to starboard Trim by the stern 1.0250 tonnes/cu.m 2.41 degrees 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/cm Shell thickness 19.000 mm Righting Lever (GZ) Curve Heel to Stbd (deg) -5.00 0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00 55.00 60.00 GZ (m) -0.3806 -0.1232 0.1349 0.4104 0.6764 0.8083 0.7916 0.6914 0.5479 0.3726 0.1638 -0.0941 -0.4029 -0.7486 GM (m) 3.0329 2.9281 3.0465 3.3135 2.5097 0.6255 -0.7533 -1.4106 -1.8118 -2.1883 -2.6314 -3.2560 -3.7715 -4.1147 Trim (m) -3.932 -4.111 -4.267 -4.381 -4.561 -4.945 -5.321 -5.589 -5.787 -5.976 -6.158 -6.345 -6.514 -6.643 WLrad (m) 18.122 18.220 18.179 17.998 17.705 17.421 17.182 16.945 16.681 16.398 16.085 15.703 15.224 14.642 Freeboard (m) 3.62[0] 5.58[0] 3.57[0] 1.53[0] -0.54[0] -2.75[0] -5.12[0] -7.59[0] -10.09[0] -12.63[0] -15.17[0] -17.64[0] -20.00[0] -22.22[0] Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability 0.4 0.2 -0.0 -0.2 -0.4 -0.6 Righting Lever (GZ) Curve GZ - metres 0.6 -41- 10 20 30 40 50 Heel - degrees SOLAS 1992 Part B-1 Reg.25-1 - Cargo Ship Rules Equilibrium angle Range from equilibrium angle (max 20.00 degrees) Maximum GZ value Position of GZ value Downflood angle [opening index] Height of protected opening [opening index] `S' Value 2.411 20.000 0.815 22.411 None None 1.0000 degrees degrees metres degrees degrees metres Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -42- Damage Scenario: D232 - Partial Loadline SGRMn U PS T O APT O L UP ST O HOLD9 ENRM O L7 HOLD8 U P ST O O L U PS T O HOLD7 O L UP S TO O L a HOLD6 U P ST O UP S TO O L f HOLD5 HOLD4 O L U PS T O HOLD3 O BOSST L HOLD2 HOLD1 FPT+CLa CWT+S T s to o l BHT VS2 DUCT DOT s DUCT9 s to o l DUCT8 s to o l6 DUCT7 s to o l DUCT6 s to o l a DUCT5 s to o l s to o l f DUCT4 s to o l DUCT3 DUCT2 1DBTs Profile View (C.L.) 4DBTp 5DBTp DOTp OBT BHT VS2 D U C T DOTs 3DBTp 2DBTp 1DBTp FOVFTK CWT +ST DUCT9 DUCT8 DUCT7 5DBTs DUCT6 DUCT5 4DBTs DUCT4 DUCT3 3DBTs DUCT2 FPT+CLa 1DBTs 2DBTs Tank Top (2.50 m) 4DBTp 3DBTp 2DBTp 5DBTp ENRM CWT+ ST HOLD9 1DBTp HOLD8 s t ool8 st ool7 HOLD7 HOLD6 s t ool6 s t ool5 HOLD5 HOLD4 st ool4a HOLD3 st ool4 f HOLD2 s t ool3 HOLD1 st ool2 FPT+CLa 1DBTs 5DBTs 4DBTs 2DBTs 3DBTs Z = 5.00 m 1FOT+S S p 2FOT +V Sp PURRM APTFP S L OTKS ENRM HOLD9 HOLD8 HOLD7 HOLD6 HOLD5 HOLD4 HOLD3 HOLD2 HOLD1 FPT+CLa 2FOTs1FOTs Z = 13.00 m 4TSTp 5TSTp 2FOT+VSp1FOT+S S p 3TSTp 2TSTp 1TSTp VS1 FW T+DW Tp SGRMn CRM HOLD9 ENRM U P S T O O L HOLD8 U P S T O O L HOLD7 U P S T O O L HOLD6 U P S T O O L HOLD5 U P ST O O HOLD4 L a U P ST O O L f HOLD3 U P S T O O L HOLD2 U P S T O O HOLD1 L BOSST FWTs 2FOTs 5TSTs 1FOTs 4TSTs 3TSTs 1TSTs 2TSTs Z = 22.50 m 5TSTs 5TSTp 4TSTp HOLD9 5DBTp 5DBTs 4DBTp DUCT6 Section at MidShip Total Displacement Buoyancy Damaged 3DBTs: Title HOLD5: Title HOLD4: Title Total Damaged Total Buoyancy 1DBTp 4DBTs DUCT9 Cargo % full 1TSTs HOLD1 Section at Hold Title 1TSTp 4TSTs HOLD6 1DBTs Section at HOLD SG Weight LCG TCG VCG (t/m3) (t) (m) (m) (m) 113312.5 145.99 0.00 19.80 FSM S (t-m) M 0.0 130654.8 148.08 6.09 8.25 2082431.7 % perm 95.0 70.0 70.0 95.0 1.025 33.9 1.025 34.1 1.025 -3245.8 -7168.6 -6928.0 -17342.4 113312.5 160.80 148.95 173.17 160.84 146.13 14.30 7.11 7.26 8.51 5.71 2.09 0.0 9.44 -76789.0 9.80 -72157.7 8.21 -148946.8 8.26 1933484.9 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -43- Drafts at equilibrium angle Draft at LCF Draft aft at marks Draft fwd at marks Draft at AP Draft at FP Mean draft at midships 12.783 11.135 14.355 11.135 14.355 12.745 metres metres metres metres metres metres Hydrostatics at equilibrium angle Density of water Heel to starboard Trim by the bow 1.0250 tonnes/cu.m 26.34 degrees 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/cm Shell thickness 19.000 mm Righting Lever (GZ) Curve Heel to Stbd (deg) -5.00 0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00 55.00 60.00 GZ (m) -0.3174 -0.4098 -0.4990 -0.5608 -0.5401 -0.3923 -0.0967 0.2105 0.2385 -0.0294 -0.4971 -1.0878 -1.7480 -2.4515 GM (m) -0.9990 -1.0743 -0.9276 -0.3157 0.9399 2.5669 4.2469 2.4085 -1.3514 -4.1806 -6.0337 -7.1427 -7.7598 -8.1982 Trim (m) 2.018 1.975 2.017 2.133 2.306 2.540 2.799 3.211 3.731 4.246 4.734 5.162 5.518 5.844 WLrad Freeboard (m) (m) 13.019 8.73[0] 13.078 10.72[0] 13.019 8.73[0] 12.843 6.69[0] 12.536 4.63[0] 12.115 2.55[0] 11.580 0.48[0] 10.985 -1.62[0] 10.373 -3.78[0] 9.700 -5.93[0] 8.963 -8.04[0] 8.157 -10.09[0] 7.279 -12.06[0] 6.338 -13.92 Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA EXAMPLE – Damage Stability -0.5 -1.0 -1.5 -2.0 Righting Lever (GZ) Curve GZ - metres 0.0 -44- 10 20 30 40 50 Heel - degrees SOLAS 1992 Part B-1 Reg.25-1 - Cargo Ship Rules Equilibrium angle Range from equilibrium angle (max 20.00 degrees) Maximum GZ value Position of GZ value Downflood angle [opening index] Height of protected opening [opening index] `S' Value 26.341 13.253 0.266 32.794 None None 0.6963 degrees degrees metres degrees degrees metres Skoupas, S (Dec 2003) An Example of Preliminary Ship Design using TRIBON M2 SDL - NTUA ... SubZone 1- 06 -1- 1 1- 07-0-0 1- 07-0 -1 1-07 -1- 0 1- 07 -1- 1 1- 08-0-0 1- 08-0 -1 1-08 -1- 0 1- 08 -1- 1 1- 09-0-0 1- 09-0 -1 1-09 -1- 0 1- 09 -1- 1 1- 10-0-0 1- 10-0 -1 1 -10 -1- 0 1- 10 -1- 1 1- 11- 0-0 1- 11- 0 -1 1 -12 -0-0 1- 12-0 -1. .. 3430.7 81 10 21. 297 264.243 19 55.5 31 2624. 017 4 014 .083 5597.5 41 7024. 414 8290.747 10 188. 914 11 323.003 11 7 41. 8 81 118 61. 317 11 892. 713 11 900.538 11 9 01. 840 11 9 01. 817 11 9 01. 817 11 9 01. 817 11 9 01. 837 11 890.828... 17 . 519 16 .500 17 . 519 16 .500 17 . 519 16 .500 17 . 519 16 .500 17 . 519 16 .500 19 .000 18 .4 31 24. 519 18 .4 31 24. 519 18 .4 31 24. 519 18 .4 31 24. 519 18 .4 31 24. 519 18 .4 31 24. 519 18 .4 31 24. 519 18 .4 31 24. 519 18 .431