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
0
2000
4000
Max Hog BM
2000
Max Sag BM tonnes-metres
Max +ve SF Max -ve SF tonnes
0
Shear Force
2000 00
0
2000 00
4000 00
1500
0
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
0
10
20
30
Heel - degrees
ATHENS 2003
40
50
60
TABLE OF CONTENTS 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
-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 8
UP ST O
HOLD9
ENRM
APT
O
O
L 7
HOLD8
U PST O
O
L 6
UPST O
HOLD7
O
L 5
UP ST O O L 4 a
HOLD6
UP ST O
UP ST O O L 4 f
HOLD5
HOLD4
O
L 3
U PST O
HOLD3
O
BOSST
L 2
HOLD2
HOLD1 FPT+CLa
CW T+S T
s to o l 7
s to o l 8
BHT VS2
DUC T
DOTs
DUCT9
DUCT8
s to o l 6
DUCT7
s to o l 4 a
s to o l 5
DUCT6
DUCT5
s to o l 4 f
DUCT4
s to o l 3
s to o l 2
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 5 l
HOLD5
st ool4a
HOLD4
HOLD3
st ool4f
HOLD2
st ool3
HOLD1
st oo 2 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 8
HOLD8
U P S T O
O
L 7
HOLD7
U P S T O
O
L 6
HOLD6
U P S T O
O
L 5
HOLD5
UP ST O
O
L 4 a
HOLD4
UP ST O
O
L 4 f
HOLD3
U P S T O
O
L 3
HOLD2
U P S T O
O
HOLD1
L 2
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 9
Section at MidShip.
1DBTp
1DBTs
Section at HOLD 1
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
EXMPLE – Form Calculations
•
-9-
FORM CALCULATIONS HYDROSTATICS
Draft - metres
5
10
15
20
Hydrostatic Curves
50000
100000
150000
200000
Displacement 95
100
105
110
115
TPI 1400
1600
1800
2000
2200
MCT 134
136
20
138
40
140
142
LCB
LCF
KMT
VCB
60
80
144
100
146
120
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Form Calculations
-10-
Hydrostatic Table
Draft (m)
Displt (t)
LCB (m)
VCB (m)
WPA (m^2)
LCF (m)
BML (m)
BMT (m)
KML (m)
KMT (m)
WSA (m^2)
TPI MCT (t/cm) (t-m/cm)
CB
CM
CP
CW
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 0.727
2.00
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 0.759
3.00
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 0.779
4.00
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 0.794
5.00
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 0.805
6.00
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 0.815
7.00
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 0.823
8.00
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 0.830
9.00
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 0.844
11.00
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 0.853
12.00
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 0.863
13.00
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 0.874
14.00
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 0.884
15.00
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 0.893
16.00
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 0.901
16.50
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 0.906
17.00
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 0.910
17.50
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 0.914
18.00
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 0.919
19.00
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 0.921
20.00
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 0.923
21.00
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 0.926
22.00
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 0.929
23.00
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
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Form Calculations
-11CROSS CURVES
12 10 8 6 4 2
2 deg
5 deg
50 deg 7 deg
60 deg Deck Edge Immersion 10 deg 12 deg 20 deg KN - metres
30 deg
14
40 deg
16
Graph
2
4
6
8
10
12
14
16
18
Draft - metres
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Form Calculations
-12-
Data Tables KN's in metres Heel Draft 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 10.000 11.000 12.000 13.000 14.000 15.000 16.000 16.500 17.000 17.500 18.000 19.000 20.000
2.0 2.618 1.812 1.412 1.177 1.025 0.919 0.841 0.784 0.743 0.712 0.690 0.676 0.665 0.658 0.654 0.653 0.653 0.654 0.655 0.655 0.657
5.0 6.423 4.516 3.529 2.943 2.562 2.297 2.104 1.963 1.859 1.783 1.729 1.690 1.663 1.645 1.636 1.634 1.634 1.634 1.635 1.638 1.643
7.0 8.526 6.273 4.936 4.121 3.587 3.216 2.948 2.751 2.606 2.500 2.423 2.367 2.329 2.306 2.293 2.290 2.288 2.287 2.288 2.293 2.302
10.0 10.629 8.577 6.995 5.881 5.126 4.597 4.218 3.940 3.734 3.581 3.469 3.389 3.334 3.299 3.280 3.274 3.270 3.269 3.269 3.277 3.290
12.0 11.636 9.731 8.238 7.030 6.150 5.522 5.069 4.737 4.490 4.307 4.172 4.075 4.008 3.965 3.939 3.932 3.927 3.925 3.926 3.934 3.912
20.0 14.143 12.706 11.572 10.632 9.824 9.116 8.492 7.976 7.574 7.268 7.040 6.871 6.748 6.664 6.608 6.574 6.528 6.471 6.402 6.231 6.013
Deck Edge Immersion 30.0 15.511 14.648 13.921 13.313 12.797 12.351 11.960 11.612 11.298 11.015 10.737 10.428 10.105 9.781 9.457 9.296 9.134 8.971 8.807 8.495 8.190
40.0 15.864 15.541 15.258 15.001 14.777 14.587 14.419 14.198 13.918 13.595 13.238 12.854 12.447 12.023 11.596 11.386 11.177 10.970 10.766 10.369 9.987
50.0 15.602 15.793 15.944 16.069 16.109 15.988 15.768 15.490 15.176 14.839 14.485 14.121 13.764 13.404 13.032 12.841 12.646 12.448 12.246 11.835 11.426
60.0 14.986 15.705 16.235 16.420 16.399 16.259 16.047 15.790 15.508 15.214 14.932 14.654 14.368 14.076 13.774 13.619 13.462 13.302 13.140 12.809 12.472
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
Heel (deg)
KN (m)
56.81 51.33 46.97 43.11 39.71 36.84 34.07 31.44 29.07 26.80 24.43 22.01 19.60 18.40 17.16 15.89 14.61 12.09 9.56
16.20 16.17 15.80 15.14 14.36 13.51 12.53 11.49 10.41 9.34 8.30 7.34 6.47 6.06 5.64 5.20 4.78 3.96 3.15
x
215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65 215.65
Point y
22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5 22.5
z
23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8 23.8
EXMPLE – Form Calculations
-13SECTIONAL AREA CURVES
600 400 200 0
4.00 metres
23.00 metres 8.00 metres 16.50 metres 17.50 metres Sectional Area - sq.metres
800
20.00 metres
Graph
0
50
100
150
200
250
Distance from Origin - metres
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Form Calculations
-14-
Data Tables Sectional Areas - sq.metres WL Heights Station -0.125 0.000 0.250 0.500 0.750 1.000 1.500 2.000 2.500 3.000 3.500 4.000 5.000 6.000 6.500 7.000 7.500 8.000 8.500 9.000 9.250 9.500 9.750 10.000 10.125
Vertical Moments of Sectional Areas - cu.metres
4.00
8.00
16.50
17.50
20.00
23.00
0.000 0.000 0.990 17.213 29.484 43.261 75.158 109.979 138.054 158.433 170.802 176.901 178.447 178.414 178.414 178.414 178.443 174.246 151.313 113.229 91.377 67.493 39.520 12.396 0.412
0.000 0.000 1.989 32.829 67.775 105.010 180.944 253.147 305.178 336.224 350.701 356.901 358.447 358.414 358.414 358.414 358.443 353.992 323.348 262.467 219.242 167.291 105.387 42.429 11.793
11.509 24.142 63.463 154.146 246.005 335.414 492.048 613.789 685.282 718.691 733.201 739.401 740.947 740.914 740.914 740.914 740.943 736.314 694.995 591.061 505.260 388.676 252.870 97.474 30.034
22.752 39.239 85.486 182.193 278.819 372.181 534.238 658.581 730.282 763.691 778.201 784.401 785.947 785.914 785.914 785.914 785.943 781.298 738.639 629.463 539.091 414.774 269.585 98.110 30.034
57.993 83.765 146.563 257.104 365.053 467.472 641.343 770.893 842.782 876.191 890.701 896.901 898.447 898.414 898.414 898.414 898.443 893.764 847.921 726.663 625.421 483.140 315.132 107.068 30.034
100.868 137.751 220.364 347.398 468.591 581.984 770.070 905.583 977.782 1011.191 1025.701 1031.901 1033.447 1033.414 1033.414 1033.414 1033.443 1028.701 979.442 845.500 733.392 571.751 380.826 135.430 31.299
WL Heights Station -0.125 0.000 0.250 0.500 0.750 1.000 1.500 2.000 2.500 3.000 3.500 4.000 5.000 6.000 6.500 7.000 7.500 8.000 8.500 9.000 9.250 9.500 9.750 10.000 10.125
4.00
8.00
16.50
17.50
20.00
23.00
0.000 0.000 3.591 38.467 66.174 97.243 166.590 237.867 293.228 330.359 350.678 358.038 359.340 359.317 359.317 359.317 359.337 354.036 314.225 245.697 203.610 154.189 94.917 34.368 1.560
0.000 0.000 7.956 130.814 298.129 472.539 808.775 1104.475 1301.511 1399.101 1430.213 1438.038 1439.340 1439.317 1439.317 1439.317 1439.337 1432.736 1350.005 1148.074 977.203 758.232 494.101 217.905 73.226
181.053 371.098 907.143 1774.341 2623.381 3416.679 4695.633 5559.842 5965.006 6084.442 6115.838 6123.663 6124.965 6124.942 6124.942 6124.942 6124.962 6116.223 5900.695 5168.340 4479.025 3466.256 2291.221 839.968 264.243
372.433 627.964 1281.732 2251.300 3181.372 4041.826 5412.915 6321.307 6730.006 6849.442 6880.838 6888.663 6889.965 6889.942 6889.942 6889.942 6889.962 6880.949 6642.653 5821.211 5054.180 3909.963 2575.420 850.900 264.243
1033.712 1463.318 2427.375 3656.226 4798.524 5828.799 7421.188 8427.127 8839.381 8958.817 8990.213 8998.038 8999.340 8999.317 8999.317 8999.317 8999.337 8989.686 8691.636 7643.686 6673.303 5192.300 3430.781 1021.297 264.243
1955.531 2624.017 4014.083 5597.541 7024.414 8290.747 10188.914 11323.003 11741.881 11861.317 11892.713 11900.538 11901.840 11901.817 11901.817 11901.817 11901.837 11890.828 11519.660 10199.735 8996.336 7100.000 4846.758 1636.395 293.010
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Form Calculations
-15-
DEADWEIGHT SCALE Draft (m)
Displ. SW
Displ. FW
Deadweight SW
200000 200000
18
Deadweight FW
Freeboard (m)
TPI (t/cm)
180000 180000
180000
160000
6
160000
160000
16
MCT (t-m/cm)
2200
140000 140000
8
150000 140000
14
120000 120000
120000
10
2000
100000 100000
12
110
12
1800
10
100000
100000 80000
80000 14
80000 8
60000
105
60000 16
60000 6
40000
40000 1600 18
50000 100 40000 4
20000
20000 20
1400
20000 2
95 22
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Bending Moments & Shearing Forces
•
-16-
BENDING MOMENTS & SHEARING FORCES IACS Limits moments and shear forces X position +ve Shear Force -ve Shear Force (m) (t) (t) 0.000 0.00 0.00 54.000 50305.94 53973.11 81.000 50305.94 53973.11 108.000 41066.50 41066.50 162.000 41066.50 41066.50 175.500 49866.46 45686.22 189.000 58666.43 50305.94 229.500 58666.43 50305.94 270.000 0.00 0.00
Sag B.M. (t-m) 0.0 2903988.1 4355982.1 5807976.2 5807976.2 5807976.2 4978265.3 2489132.7 0.0
Hog B.M. Torsion M. Bulkhead Description (t-m) (t-m) Factor 0.0 0.0 0.0000 0.00L 2706678.2 0.0 0.0000 0.20L 4060017.4 0.0 0.0000 0.30L 5413356.5 0.0 0.0000 0.40L 5413356.5 0.0 0.0000 0.60L 5413356.5 0.0 0.0000 0.65L 4640019.8 0.0 0.0000 0.70L 2320009.9 0.0 0.0000 0.85L 0.0 0.0 0.0000 1.00L
Bending Moment Limits
Shear Force Limits
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Lightweight Distribution
•
-17-
LIGHTWEIGHT DISTRIBUTION
Data Tables
WEIGHT SUMMARY Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
Weight (t) 638.00 1370.00 2183.30 7190.40 2611.70 684.00 357.00 100.00 204.00 204.00 204.00 204.00 305.90 305.90 204.00 204.00 482.00 64.00 36.10 243.20 27.80 237.10 595.00 504.00 102.00 19.20 42.80 125.90
LCG (m) 3.520 25.400 60.220 142.540 228.700 265.880 31.360 15.250 62.200 86.850 111.500 136.150 160.800 185.450 210.100 234.750 148.480 3.350 148.480 266.910 16.950 148.480 26.840 24.800 31.200 148.480 16.950 148.480
TCG (m) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
VCG (m) 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560 14.560
FSM (t-m) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
WEIGHT DISTRIBUTION Aft ext. Fwd ext. (m) (m) -4.800 11.200 11.200 38.400 38.400 80.900 80.900 204.150 204.150 258.550 258.550 276.150 24.000 38.400 11.200 19.200 59.650 64.750 84.300 89.400 108.950 114.050 133.600 138.700 158.250 163.350 182.900 188.000 207.550 212.650 232.200 237.300 38.400 258.550 -4.800 11.200 38.400 258.550 258.550 276.150 -4.800 38.400 38.400 258.550 22.400 31.200 11.200 38.400 24.000 38.400 38.400 258.550 -4.800 38.400 38.400 258.550
X Position (m) -4.80 11.20 19.20 22.40 24.00 31.20 38.40 59.65 64.75 80.90 84.30 89.40 108.95 114.05 133.60 138.70 158.25 163.35 182.90 188.00 204.15 207.55 212.65 232.20 237.30 258.55 276.15
Wt.aft (t/m) 0.000 50.510 80.759 69.364 136.591 175.024 110.759 55.461 96.453 59.595 62.389 102.392 62.406 102.410 62.423 102.427 62.440 122.424 62.458 122.441 62.472 64.377 101.746 51.661 89.030 38.067 31.133
Wt.fwd (t/m) 40.465 75.887 67.790 135.133 166.813 105.566 51.327 95.461 56.453 62.387 102.389 62.392 102.406 62.410 102.423 62.427 122.421 62.444 122.438 62.461 66.131 104.377 61.746 91.661 49.030 74.231 0.000
Total 19449.30 128.260 0.000 14.560 0.00
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXMPLE – Lightweight Distribution
-18-
200 150 0
50
100
tonnes/metre
250
300
Weight Graph
0
50
100
150
200
250
Position from Origin - metres
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
•
-19-
LOADING CONDITIONS In this topic are represented the reports of two homogenous Loading Conditions with stowage factor, sf = 0.8241 t / m 3 . The ship must comply both with the requirements of the IMO A.167 and the MSC.23(59) resolutions. FULL LOAD DEPARTURE CONDITION SGRMn
UP ST O
ENRM
APT
O
L 8
UP ST O
HOLD9
O
L 7
HOLD8
U PST O
O
L 6
UPST O
HOLD7
O
L 5
UP ST O O L 4 a
HOLD6
UP ST O
UP ST O O L 4 f
HOLD5
HOLD4
O
L 3
U PST O
HOLD3
O
BOSST
L 2
HOLD2
HOLD1 FPT+CLa
CW T+S T
s to o l 7
s to o l 8
BHT VS2
DUC T
DOTs
DUCT9
DUCT8
s to o l 6
DUCT7
s to o l 4 a
s to o l 5
DUCT6
DUCT5
s to o l 4 f
DUCT4
s to o l 3
s to o l 2
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 5 l
HOLD5
st ool4a
HOLD4
HOLD3
st ool4f
HOLD2
st ool3
HOLD1
st oo 2 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 8
HOLD8
U P S T O
O
L 7
HOLD7
U P S T O
O
L 6
HOLD6
U P S T O
O
L 5
HOLD5
UP ST O
O
L 4 a
HOLD4
UP ST O
O
L 4 f
HOLD3
U P S T O
O
L 3
HOLD2
U P S T O
O
HOLD1
L 2
BOSST
FWTs
2FOTs
5TSTs
1FO Ts
4TSTs
3TSTs
1TSTs
2TSTs
Z = 22.50 m 5TSTs
5TSTp
4TSTp
4TSTs
HOLD9 5DBTp
5DBTs
4DBTp
1TSTp
1TSTs HOLD1
HOLD6 4DBTs
DUCT9
DUCT6
Section at Hold 9
Section at MidShip.
1DBTp
1DBTs
Section at HOLD 1
Key Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-20-
Intact State Title HOLDS No. 2 HOLD No. 3 HOLD No. 4 HOLD No. 5 HOLD No. 6 HOLD No. 7 HOLD No. 1 HOLD No. 8 HOLD No. 9 HOLD Total HOLDS FUEL OIL TANKS No. 1 F.O.T. (P)
Frames
250-279 221-250 192-221 163-192 134-163 105-134 279-307 76-105 48-76
Cargo
CARGO CARGO CARGO CARGO CARGO CARGO CARGO CARGO CARGO
% full
100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0
SG
Weight
LCG
TCG VCG
FSM
S
(t/m3)
(t)
(m)
(m)
(t-m)
M
0.824 0.824 0.824 0.824 0.824 0.824 0.824 0.824 0.824
16888.5 16999.7 16358.0 16999.7 16999.7 16999.7 13309.0 16659.6 14364.4 145578.3
222.09 0.00 13.12 197.48 0.00 13.11 173.12 0.00 13.28 148.75 0.00 13.11 124.10 0.00 13.11 99.45 0.00 13.11 245.73 0.00 13.75 74.92 -0.00 13.25 50.68 0.01 13.81 147.79 0.00 13.27
40-48
FO
98.0 0.990
683.5 35.34
No. 1 F.O.T. (S) No. 2 F.O.T. (P)
40-48 17-40
FO FO
98.0 0.990 98.0 0.990
683.6 35.34 1060.3 24.64
No. 2 F.O.T. (S) Total FUEL OIL DIESEL OIL TANKS D.O.T. (P) D.O.T. (S) Total DIESEL OIL LUBRICATION OIL TANKS L.O.T. (SUM) Total LUBRICATION OIL FRESH WATER TANKS F.W.T. & DWT (P) F.W.T. (S) Total FRESH WATER OTHER TANKS C.W.T. (S) Total OTHER DWT CONSTANTS DEPARTURE CREW & EFFECTS DRY PROVISION STORE STORE VARIUS BILGE TKS WATER & OIL IN E/R WATER & OIL IN HULL Total DWT CONST. DEP. Lightweight Total Displacement
17-40
FO
98.0 0.990
1060.3 24.64 3487.7 28.83
25-44 25-48
DO DO
44-48
LO
10-14 6-14
FW 100.0 1.000 FW 100.0 1.000
153.2 278.8 432.0
8-14
OTH 100.0 1.000
49.0 49.0
Buoyancy Total Buoyancy
(m)
17.45
387.1 I
17.45 18.93
387.1 I 451.9 I
18.93 18.35
453.8 I 1679.9
98.0 0.850 98.0 0.850
109.2 29.96 -3.90 1.70 151.1 31.86 4.22 1.68 260.3 31.06 0.81 1.69
177.2 I 298.9 I 476.1
98.0 0.900
110.9 36.80 -3.00 14.66 110.9 36.80 -3.00 14.66
51.8 I 51.8
3.1 7.9 61.0 138.1 9.5 124.9 344.6 19449.3 169712.1
15.67 15.67 14.74 14.74 0.00
[0.0] [0.0] [0.0] [0.0] [0.0] [0.0] [0.0] [0.0] [0.0] 0.0
9.65 -9.74 21.18 8.21 9.43 21.19 8.72 2.63 21.19
0.0 I 0.0 I 0.0
9.68 9.68
0.0 I 0.0
0.00 3.89 0.00 3.89
32.88 0.00 31.41 26.80 0.00 25.59 111.56 0.00 19.40 24.04 -8.41 2.57 21.58 0.00 11.74 97.20 0.00 1.90 66.14 -3.37 6.35 128.26 0.00 14.56 142.30 -0.00 13.51
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2207.8
169711.3 142.28 -0.00 8.61 1719927.3 169711.3 142.28 -0.00 8.61 1719927.3
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-21-
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
16.568 16.913 16.189 16.943 16.185 16.564
metres metres metres metres metres metres
Hydrostatics at equilibrium angle Density of water Heel to port Trim by the stern
1.0250 tonnes/cu.m 0.00 degrees 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/cm Shell thickness 19.000 mm
Propeller Immersion Propeller tip immersion 8.543 metres Required percentage immersion 100.000 % Actual percentage immersion 204.188 %
2.0 1.5 1.0 0.5 0.0
Grain heeling Righting Lever (GZ) Curve GZ - metres
2.5
Righting Lever (GZ) Curve
0
10
20
30
40
50
60
Heel - degrees
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions Heel to Port (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 65.00
GZ (m) -0.4588 -0.0001 0.4585 0.9304 1.4291 1.9538 2.3179 2.5294 2.6353 2.6850 2.6371 2.4750 2.2243 1.9065 1.5384
-22GM (m) 5.3198 5.2193 5.3198 5.5346 5.9683 5.3160 3.2249 1.8058 0.8521 0.1941 -1.1908 -2.3699 -3.2576 -3.9277 -4.4292
Trim (m) -0.721 -0.759 -0.722 -0.626 -0.486 -0.311 -0.086 0.202 0.541 0.894 1.236 1.562 1.869 2.150 2.413
WLrad (m) 16.494 16.564 16.494 16.289 15.951 15.493 15.059 14.664 14.292 13.882 13.402 12.836 12.182 11.447 10.632
Freeboard Grain heeling (m) (m) 5.04[0] 0.0000 7.01[0] 0.0000 7.59[0] 0.0000 7.56[0] 0.0000 7.51[0] 0.0000 7.42[0] 0.0000 7.15[0] 0.0000 6.58[0] 0.0000 5.62[0] 0.0000 4.54[0] 0.0000 3.39[0] 0.0000 2.20[0] 0.0000 0.99[0] 0.0000 -0.24[0] 0.0000 -1.47[0] 0.0000
Grain heeling Property Area A Total Area A+B Steady state angle Max. angle
Value 1.18975 1.18975 0.002 40.000
Units m-radians m-radians degrees degrees
IMO A167 Intact Stability criteria # Criterion 1 2 3 4 5 6
Actual Critical Value Value Area under GZ curve up to 30 degrees > 0.055 mrad 0.731 0.055 Area under GZ curve from 30 to 40 deg. or downflood > 0.03 mrad 0.459 0.030 Area under GZ curve up to 40 deg. or downflood > 0.09 mrad 1.190 0.090 Maximum GZ to be at least 0.20 metre at 30 degrees or above 2.686 0.200 Maximum GZ to be at an angle > 25 degrees 40.587 25.000 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
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-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
400000 200000 0 -200000
Max Sag BM tonnes-metres Bending Moment
-400000
Max Hog BM
4000 2000 0 -2000 -4000
Max +ve SF Max -ve SF tonnes Shear Force
500 0 -500 -1500
-1000
Weight Buoyancy tonnes/metre
1000
Longitudinal Strength
0
50
100
150
200
250
Position from Origin - metres
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-24-
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 229.50
0.00L 0.20L 0.30L 0.40L 0.60L 0.65L 0.70L 0.85L 1.00L
Shearing % of Max Force allowed (t) 118.7 0.0 -425.7 7.7 34.0 0.7 80.2 1.9 -107.7 2.6 -127.9 2.7 -257.1 5.0 462.9 7.7 39.3 0.0
Bending % of Max Moment allowed (t-m) 1075.3 0.0 -17276.9 5.8 -20927.4 4.7 -19236.7 3.2 -24531.4 4.1 -27973.5 4.7 -30624.8 6.0 -32996.7 13.0 1436.2 0.0 -32996.7
3D Condition Plan
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-25-
FULL LOAD ARRIVAL CONDITION
SGRMn
UP ST O
ENRM
APT
O
L 8
UP ST O
HOLD9
O
L 7
HOLD8
U PST O
O
L 6
UPST O
HOLD7
O
L 5
UP ST O O L 4 a
HOLD6
UP ST O
UP ST O O L 4 f
HOLD5
HOLD4
O
L 3
U PST O
HOLD3
O
BOSST
L 2
HOLD2
HOLD1 FPT+CLa
CW T+S T
s to o l 7
s to o l 8
BHT VS2
DUC T
DOTs
DUCT9
DUCT8
s to o l 6
DUCT7
s to o l 4 a
s to o l 5
DUCT6
DUCT5
s to o l 4 f
DUCT4
s to o l 3
s to o l 2
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 5 l
HOLD5
st ool4a
HOLD4
HOLD3
st ool4f
HOLD2
st ool3
HOLD1
st oo 2 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 8
HOLD8
U P S T O
O
L 7
HOLD7
U P S T O
O
L 6
HOLD6
U P S T O
O
L 5
HOLD5
UP ST O
O
L 4 a
HOLD4
UP ST O
O
L 4 f
HOLD3
U P S T O
O
L 3
HOLD2
U P S T O
O
HOLD1
L 2
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 9
Section at MidShip.
1DBTp
1DBTs
Section at HOLD 1
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-26-
Intact State Title HOLDS No. 2 HOLD No. 3 HOLD No. 4 HOLD No. 5 HOLD No. 6 HOLD No. 7 HOLD No. 1 HOLD No. 8 HOLD No. 9 HOLD Total HOLDS WATER BALLAST TANKS No. 5 DB W.B.T. (P) No. 5 DB W.B.T. (S) No. 5 TS W.B.T. (P) No. 5 TS W.B.T. (S) A.P.T. (C) Total WATER BALLAST FUEL OIL TANKS No. 2 F.O.T. (P) Total FUEL OIL DIESEL OIL TANKS D.O.T. (S) Total DIESEL OIL LUBRICATION OIL TANKS L.O.T. (SUM) Total LUBRICATION OIL FRESH WATER TANKS F.W.T. & DWT (P) F.W.T. (S) Total FRESH WATER OTHER TANKS C.W.T. (S) Total OTHER DWT CONSTANTS ARRIVAL CREW & EFFECTS DRY PROVISION STORE STORE VARIUS BILGE TKS WATER & OIL IN E/R WATER & OIL IN HULL Total DWT CONST. ARR. Lightweight Total Displacement Buoyancy Total Buoyancy
Frames
Cargo
% full
SG Weight (t/m3) (t)
250-279 221-250 192-221 163-192 134-163 105-134 279-307 76-105 48-76
CARGO CARGO CARGO CARGO CARGO CARGO CARGO CARGO CARGO
100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0
0.824 0.824 0.824 0.824 0.824 0.824 0.824 0.824 0.824
16888.5 16999.7 16358.0 16999.7 16999.7 16999.7 13309.0 16659.6 14364.4 145578.3
WB 23.5 WB 23.5 WB 7.8 WB 14.8 WB 100.0
1.025 1.025 1.025 1.025 1.025
608.0 608.0 200.0 380.0 1085.6 2881.6
48-105 48-105 48-105 48-105 -5-14
LCG (m) 222.09 197.48 173.12 148.75 124.10 99.45 245.73 74.92 50.68 147.79
TCG VCG (m) (m) 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00 0.01 0.00
FSM (t-m)
13.12 13.11 13.28 13.11 13.11 13.11 13.75 13.25 13.81 13.27
[0.0] [0.0] [0.0] [0.0] [0.0] [0.0] [0.0] [0.0] [0.0] 0.0
67.35 -8.29 0.59 67.35 8.30 0.59 63.95 -21.07 17.97 63.80 20.54 18.53 5.31 0.02 15.58 43.27 1.26 9.81
11845.7 11834.1 253.5 669.4 0.0 24602.7
I I I I I
17-40
FO
15.9 0.990
25-48
DO
10.0 0.850
15.4 33.43 15.4 33.43
3.10 0.37 3.10 0.37
67.2 I 67.2
44-48
LO
98.0 0.900
110.9 36.80 110.9 36.80
-3.00 14.66 -3.00 14.66
51.8 I 51.8
10-14 6-14
FW FW
10.0 1.000 10.0 1.000
15.3 27.9 43.2
9.65 8.22 8.72
-9.77 18.32 9.46 18.32 2.64 18.32
115.1 I 183.6 I 298.7
OTH 100.0 1.000
49.0 49.0
9.68 9.68
0.00 3.89 0.00 3.89
0.0 I 0.0
3.1 0.8 61.0 138.1 9.5 124.9 337.5 19449.3 168636.9
32.88 26.80 111.56 24.04 21.58 97.20 66.97 128.26 143.31
8-14
171.6 27.00 -13.74 13.86 171.6 27.00 -13.74 13.86
S M
168636.7 143.31 168636.7 143.31
0.00 0.00 0.00 -8.41 0.00 0.00 -3.44 0.00 0.00
31.41 25.59 19.40 2.57 11.74 1.90 5.94 14.56 13.35
209.6 I 209.6
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25230.1
0.00 8.56 1712018.3 0.00 8.56 1712018.3
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-27-
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
16.472 16.472 16.472 16.472 16.472 16.472
metres metres metres metres metres metres
Hydrostatics at equilibrium angle Density of water Heel to starboard Trim
1.0250 tonnes/cu.m 0.00 degrees 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/cm Shell thickness 19.000 mm
Propeller Immersion Propeller tip immersion 8.072 metres Required percentage immersion 100.000 % Actual percentage immersion 198.438 %
2.0 1.5 1.0 0.5 0.0
Grain heeling Righting Lever (GZ) Curve GZ - metres
2.5
Righting Lever (GZ) Curve
0
10
20
30
40
50
60
Heel - degrees
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions 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 65.00
GZ (m) -0.4583 -0.0003 0.4578 0.9302 1.4331 1.9698 2.3518 2.5762 2.6967 2.7568 2.7192 2.5663 2.3233 2.0124 1.6500
-28GM (m) 5.3162 5.2134 5.3175 5.5578 6.0384 5.5540 3.4138 1.9566 1.0433 0.3653 -1.0743 -2.2553 -3.1602 -3.8448 -4.3613
Trim (m) 0.036 0.000 0.036 0.136 0.277 0.461 0.734 1.077 1.469 1.866 2.258 2.640 2.996 3.325 3.624
WLrad (m) 16.402 16.472 16.402 16.196 15.857 15.395 14.951 14.549 14.166 13.753 13.266 12.691 12.032 11.290 10.470
Freeboard Grain heeling (m) (m) 8.07[0] 0.0000 7.33[0] 0.0000 5.33[0] 0.0000 3.29[0] 0.0000 1.23[0] 0.0000 -0.86[0] 0.0000 -3.11[0] 0.0000 -5.51[0] 0.0000 -8.02[0] 0.0000 -10.54[0] 0.0000 -13.02[0] 0.0000 -15.42[0] 0.0000 -17.71[0] 0.0000 -19.87[0] 0.0000 -21.89[0] 0.0000
Grain heeling Property Area A Total Area A+B Steady state angle Max. angle
Value 1.20680 1.20680 0.003 40.000
Units m-radians m-radians degrees degrees
IMO A167 Intact Stability criteria # Criterion 1 2 3 4 5 6
Actual Critical Value Value Area under GZ curve up to 30 degrees > 0.055 mrad 0.738 0.055 Area under GZ curve from 30 to 40 deg. or downflood > 0.03 mrad 0.469 0.030 Area under GZ curve up to 40 deg. or downflood > 0.09 1.207 0.090 Maximum GZ to be at least 0.20 metre at 30 degrees or above 2.760 0.200 Maximum GZ to be at an angle > 25 degrees 41.011 25.000 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
Skoupas, S. (Dec. 2003). An Example of Preliminary Ship Design using TRIBON M2 . SDL - NTUA
EXAMPLE – Loading Conditions
-29-
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
400000 200000 0 -200000
Max Sag BM tonnes-metres Bending Moment
-400000
Max Hog BM
4000 2000 0 -2000 -4000
Max +ve SF Shear Force
Max -ve SF tonnes
500 0 -500 -1500
-1000
Weight Buoyancy tonnes/metre
1000
1500
Longitudinal Strength
0
50
100
150
200
250
Position from Origin - metres
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 1 Zone 2 Zone 3 Zone 4 Zone 5 Zone 6 Zone 7 Zone 8 Zone 9 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
1 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 2 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 3 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 8
U PST O
HOLD9
ENRM
APT
O
L 7
HOLD8
U PS TO
O
L 6
UPS T O
HOLD7
O
UPS T O O L 4 a
L 5
HOLD6
U PS T O O L 4 f
HOLD5
HOLD4
UP ST O
O
L 3
U PST O
HOLD3
O
BOSST
L 2
HOLD2
HOLD1 FPT+CLa
CWT+S T
s too l 8
BHT VS2
DUCT
DOT s
DUCT9
s to ol 7
DUCT8
s to o l 6
DUCT7
s to o l 5
DUCT6
s to o l 4 a
s too l 3
s to o l 4 f
DUCT5
DUCT4
s to o l 2
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 5 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 8
U PST O
O
L 7
HOLD7
U PST O
O
HOLD6
L 6
U PS T O
O
L 5
HOLD5
UPS T O
O
L 4 a
HOLD4
UP ST O
O
L 4 f
HOLD3
U P S T O
O
L 3
HOLD2
U P S T O
O
HOLD1
L 2
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 9
Title
1TSTp
4TSTs HOLD6
1DBTs
Section at HOLD 1
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-
0
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 8
UP ST O
HOLD9
ENRM
O
L7
HOLD8
U P ST O
O
L 6
U PS T O
HOLD7
O
L 5
UP S TO O L 4 a
HOLD6
U P ST O
UP S TO O L 4 f
HOLD5
HOLD4
O
L 3
U PS T O
HOLD3
O
BOSST
L 2
HOLD2
HOLD1 FPT+CLa
CWT+S T
s to o l 8
BHT VS2
DUCT
DOT s
DUCT9
s to o l 7
DUCT8
s to o l6
DUCT7
s to o l 5
DUCT6
s to o l 4 a
DUCT5
s to o l 3
s to o l 4 f
DUCT4
s to o l 2
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 8
HOLD8
U P S T O
O
L 7
HOLD7
U P S T O
O
L 6
HOLD6
U P S T O
O
L 5
HOLD5
U P ST O
O
HOLD4
L 4 a
U P ST O
O
L 4 f
HOLD3
U P S T O
O
L 3
HOLD2
U P S T O
O
HOLD1
L 2
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 9
Title
1TSTp
4TSTs HOLD6
1DBTs
Section at HOLD 1
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-
0
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
