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PROJECT REPORT
DESIGN OF A 20,000 t DOUBLE ACTING ICE CLASS GENERAL
CARGO SHIP OF SERVICE SPEED 17.0 KNOTS IN OPEN WATER
AND 5.0 KNOTS IN SEVERE ICE CONDITION
Project submitted in partial fulfillment
of the Requirements for the Award of
The Degree of
Bachelor of Science
in
Naval Architecture & Marine Engineering
DEPARTMENT OF NAVAL ARCHITECTURE AND
MARINE ENGINEERING
BANGLADESH UNIVERSITY OF ENGINEERING &
TECHNOLOGY
APRIL 2017
Certified that this is the bonafide record of the projrct submitted in
partial fulfillment of the requirements for the award of the degree of
Bachelor of Science
in
Naval Architecture & Marine Engineeering
DEPARTMENT OF NAVAL ARCHITECTURE AND
MARINE ENGINEERING
BANGLADESH UNIVERSITY OF ENGINEERING &
TECHNOLOGY
Project Submitted by Project Accepted by
Dr. Md. Shahjada Tarafder
Professor, Department of Naval
Architecture and Marine Engineering
(NAME)
BANGLADESH UNIVERSITY OF
ENGINEERING & TECHNOLOGY
Md . Ashifur Rahaman (1312029)
Md . Abdur Rahim(1312036)
Md . Maruf Billah (1312006)
AIM OF THE PROJECT
Aim of this project is to prepare a preliminary design of a Double Acting Ice
Class general cargo ship to meet the owner’s requirements given in the assignment sheet:
ASSIGNMENT SHEET
DEPARTMENT OF NAVAL ARCHITECTURE AND MARINE ENGINEERING
BANGLADESH UNIVERSITY OF ENGINEERING & TECHNOLOGY
Ship Design Project work Assignment sheet
:
:
Ship Type
Deadweight
Service speed (open water)
Service speed (1.0 m thick Ice) :
Double Acting General Cargo Ship (Ice Class1AS)
20,000 t
17.0 Knots
5.0 Knots
Signature of Project guide
:
Contents
1    Introduction 1
2    Fixing of main dimensions 4
  2.1  Owner’s Requirements 5
  2.2  Basis Ship Data 6
  2.3  Principal Particulars of New Ship 6
     2.3.1  Preliminary Power Calculation 6
     2.3.2  Dead Weight of New Ship 7
     2.3.3  Draft Calculation 10
     2.3.4  Breadth Calculation 10
     2.3.5  Length Calculation 11
     2.3.6  Depth Calculation 11
     2.3.7  Summary of Principal particulars of New Ship 11
     2.3.8  Free Board Calculation 12
     2.3.9  Sheer Calculation 12
     2.3.10  Minimum Bow Height 12
     2.3.11  Wheel House Height 13
     2.3.12  Length of Poop Deck 13
     2.3.13  Dimension of Bulbusbow 14
     2.3.14  Navigation in Ice 16
     2.3.15  Length of Cargo Hold 16
2.4  Typical GA  18
     3 Lines Plan & Offset Table 19
3.1 Profile  20
3.2  Half Breadth Plan 20
3.3  Body Plan 20
3.4  Offset Table  21
     4  Hydrostatic Calculations 23
4.1  Hydrostatic Detailed Calculations 24
4.2  Hydrostatic Curves 32
i
5 Scantling Calculations 33
5.1 Type of Framing System 34
5.1.1 Strength/Weather Deck Plating 35
5.1.2 Lower Deck Plating 36
5.1.3 Strength/Weather Deck Longitudinal 37
5.1.4 Cargo and Accommodation Deck Longitudinal 37
5.1.5 Strength/Weather Cargo and Accommodation Deck Bea 38
5.1.6 Bar and Plate Keels 41
5.1.7 Bottom Shell and Bilge Plating 42
5.1.8 Side Shell Plating 43
5.1.9 Shell Framing (Longitudinal) 44
5.1.10 Single Bottom Girders and Floors 47
5.1.11 Summary of Scantling 48
5.1.12 Equipment Number 49
5.2 Midship Section 52
5.3 Profile,Deck & Bottom constructions 53
5.4 Shell Expansion 54
6 Weight Calculation 56
6.1 Deadweight Calculation 59
6.2 Lightweight Calculation 59
6.2.1 Detail Steel Weight Calculation 59
6.2.2 Detail Outfit Calculation 60
6.2.3 Detail Machinery Weight Calculation 61
6.2.4 Total Light Weight 61
6.3 Summary 61
7 Capacity Calculation 62
7.1 Capacity Calculation 63
7.2 Summary 63
8 Stability Calculation 64
8.1 GZ Calculation 65
8.2 GZ Curves 78
9 Trim Calculation 80
10 Crane Selection 83
11 Resistance and Power Calculation 85
11.1 Total Resistance 87
11.2 Shaft Power 88
11.3 Break Horse Power 88
11.4 Summary of power calculation 88
ii
12 Engine and Gear Box Selection 89
12.1 Engine Selection 90
12.2 Gear Box Selection 92
13 Engine Foundation 93
13.1 Floor Plate Thickness 94
13.2 Inner Bottom Plating 95
13.3 Longitudinal Girder Thickness 95
13.4 Foundation Bolt Diameter 95
13.5 Engine Seating 95
13.6 Web Frame 95
13.7 Summary of Scantling 96
14 Propeller Design 97
15 Rudder Calculation 103
15.1 Rudder Area 104
15.2 Rudder Force and Torque 106
15.3 Rudder Stock 108
15.4 Rudder Coupling 108
15.5 Rudder Frames 109
15.6 Rudder Plates and Web 110
15.7 Pintle 110
15.8 Bearing 111
15.9 Rudder Design 112
16 Shaft Arrangement Calculation 113
16.1 Calculation of Shaft Diameter 114
16.1.1 Theoretical Formula 114
16.1.2 Using Imperical Formula 115
16.2 Angle of Twist 116
16.3 Minimum Liner Thickness 116
16.4 Coupling 117
16.5 Shaft Bearing 117
16.6 Shaft Details 118
16.7 Shaft Arrangement drawing 119
17 Steering Arrangement 120
References 122
iii
2
13
14
16
18
20
20
20
32
52
53
54
78
78
82
82
102
109
112
LIST OF ILLUSTRATIONS
Fig 1.1 Ship design spiral
Fig 2.1 Distance between Wheel house & top of stem Fig 2.2
Dimension for bulbusbow
Fig 2.3 Navigation in ice
Fig 2.4 Typical GA
Fig 3.1 Profile View
Fig 3.2 Hal Breath Plan
Fig 3.3 Body plan
Fig 4.1 Hydrostatic Curves
Fig 5.1 Midship Scantling
Fig 5.2 Longitudinal Scantling
Fig 5.3 Shell Expansion
Fig 8.1 GZ curve ( Full Load Condition)
Fig 8.2 GZ curve ( No Load Condition)
Fig 9.1 Draft vs TPC Curve
Fig 9.2 Draft vs MCTC curve
Fig 14.1 Propeller details
Fig 15.1 Rudder stock Connection
Fig 15.2 Rudder Arrangement
Fig 16.1 Propeller shaft Assembly
120
iv
21
34
35
36
37
37
38
41
42
43
44
LIST OF TABLES
Table 3.1 Offset Table
Table 5.1 Framing system
Table 5.2 Strength / Weather Deck Plating
Table 5.3 Lower deck pating
Table 5.4 Strength / Weather Deck longitudinals
Table 5.5 Cargo & Accommodation Deck Longitudinals
Table 5.6 Strength / Weather cargo & accommodation deck
Beams
Table 5.7 Bar & Plate keel
Table 5.8 Bottom , shell & Bilge plating
Table 5.9 Side Shell Plating
Table 5.10 Shell Framing
v
Chapter 1
Introduction
Ship Design & Project
Page 1
The Design Spiral
The design spiral is one of the most important pieces of the technical know-how of a
Naval Architect and/or Ocean Engineer. So what exactly is the Design Spiral and why is
it so important for a typical ship designer in the marine industry or any personnel
concerned with the design development of a marine structure?
Fig1.1 :SHIP DESIGN SPIRAL
Designing a ship is perhaps the most rigorous of all engineering problems. It takes a lot
of technical expertise, often across many disciplines to design such structures.A ship
not only floats on the surface of the ocean but also makes its way around the world,
along different routes through rough weather - "in one piece". The SDesign Spiral is a
systematic approach to achieving near perfect designs for a given ship design problem.
A naval architect traces his way along the design spiral through the different stages of
design given below:
1.CONCEPT DESIGN
2.PRELIMINARY DESIGN
3.CONTRACT DESIGN
4.DETAILED DESIGN
As we move along the spiral into its core, we move from a zone of less information to
extremely specific instruction for the construction of ship or in other words- "Realization
of the design into a product". Given below are the definitions of each stage of design
spiral along with the typical effort/man days required for a large merchant ship.
Chapter 1
Introduction
Ship Design & Project
Page 2
Concept design :
This stage witnesses the translation of the mission requirements into naval architectural
and engineering characteristics. The fundamental elements of the ship such as length,
beam, depth, draft, fullness, power, or alternative sets of characteristics, all of which
meet the required speed, range,cargo cubic and dead weight are used to perform
feasibility studies.
Light-ship weight estimation is done.
Alternative designs are analyzed during this phase to determine the most economical
design solution.
Preliminary design :
This stage essentially improves and elaborates the major ship characteristics affecting
cost and performance. The factors such as length ,beam, horsepower deadweight,
would not be expected to change after the completion of this stage. It also provides
basis for the development of contract plans and specifications.
Contract design :
This stage describes more precisely features such as hull form based on a faired set of
lines, powering based on model testing, sea keeping and maneuvering characteristics,
the effect of number of propellers on hull form, structural details, use of different types of
steel, spacing and type of frames . Paramount, among the contract design features, is a
weight and center of gravity-estimate taking into account the location and weight of
each major item in the ship. The final general arrangement is also developed during this
stage. This fixes the overall volumes and areas of cargo, machinery, stores, fuel oil,
fresh water, living and utility spaces and their interrelationship,as well as their
relationship to other features such as cargo handling equipment, and machinery
components.
Check on Quality standards of hull and outfit and the anticipated performance for each
item of machinery and equipment is done. Also describe the tests and trials required.
Detailed design :
Comprises of detailed working plans .These plans are the installation and construction
instructions to the ship fitters, welders, outfitters, metal workers, machinery vendors,
pipe-fitters, etc. At this stage the interchange is from engineer to artisan, that is, the
engineer's product at this point is no longer to be interpreted, adjusted, or corrected by
any other engineer.
Ship Design & Project
Page 3
Chapter 2
Fixing of Main Dimension
Ship Design & Project
Page 4
2.1 Owner’s Requirements
Ship type : General Cargo
Dead Weight : 20,000 tonnes
Route :
Distances :
Chittagong Port to Keppel Harbor Port, Singapore 1863 Nautical
miles Distance from Bangladesh to China 3231 Nautical miles
Distance from Bangladesh to Hong kong 3038 Nautical miles
Distance from Bangladesh to Japan 4284 Nautical miles
Distance from Bangladesh to Malaysia 2021 Nautical miles
Average distance : 3500 Nautical mile
Speed : 17 knots
Endurance : 10 days
 There is some restriction to design our ship. Which are given below[1]:
1. The maximum length overall, including bulbous bow, for a commercial
vessel acceptable for regular transit is 289.6 meters.
2. The allowable height for any vessel transiting the Canal or entering the Port
of Balboa is 57.91 meters .
3. The maximum beam for a commercial vessel and the integrated tug-barge
combination acceptable for regular transit is 32.3 meters
Chapter 2
Fixing Of Main Dimension
World Wide
Ship Design & Project
Page 5
15,000 DWT TYPE GENERAL CARGO SHIP / PROJECT No.A-5626(1)R
20/NOVEMBER/2001
SHIP TYPE General cargo ship
MAIN DIMENSION Length over all abt. 142.00 m
Length betw. perp. 132.00 m
Breadth mld. 22.40 m
Depth mld. 11.30 m
Designed draft mld. 8.25 m
DEADWEIGHT abt. 15,000 MT at d = 8.25 m
COMPLEMENT 18 persons
KIND OF CARGOES Grain cargo
Coal
Iron ore
CAPACITY Grain abt. 18,400m3
SERVICE SPEED abt. 13.3 knots at d = 8.25 m
MAIN ENGINE 1 - MAN B&W 7S35MC
M.C.O. 4,900KW(6,650PS) - 170 rpm
Subject to change without notice. © Kyokuyo Shipyard Corporation. All rights reserved.
2.2 Basis Ship Data
Ship Type : General Cargo
Length, LOA : 142 m
Length, LBP : 132 m
Breadth, BMLD : 22.23 m
Depth, D : 11.30 m
Draught, T : 8.25 m
Dead weight, DWT : 15000 tonnes
Speed : 13.8 Knots
Complement : 18 persons
Power : 4,900KW
2.3 Principal Particulars
2.3.1 Primary Power Calculation
Displacement of basis ship, Δ = 132 × 22.23 × 8.25 × 1.025 × 0.775
= 10106.53 tonnes
Ship Design & Project
Page 6
Dead weight coefficient, Cd =
15000
10106.53
= 0.78
L/B = 5.93
B/T = 2.69
T/D = 0.72
Taking same Ac for basis sip & model ship :
2
3∇1 ×V1
3
𝑝𝑝 1
=
∇2
2
3×V23
𝑝𝑝 2
P2= 11097 kw
2.3.2 Deadweight of new ship
 Weight of crew: 75 kg/person
Number of crew = 18
Weight = 75 × 18 = 1350 kg
= 1.35 tonnes
 Stores & Provisions: 5 kg/person/day
Weight = 5 × 18 × 10 × 1.20 kg
= 1080 kg
= 1.08 tonnes
 Fresh Water:
1. Consumption for crew = 20 kg/person/day
= 20 × 18 × 10 × 1.20 kg
Ship Design & Project
Page 7
= 4320 kg
= 4.32 tonnes
2. Bath & Laundry: 200 kg/person/day
= 200 × 18 × 10× 1.20 kg
= 43200 kg
= 43.2 tonnes
3. Cooking: 4 kg/person/day
= 4 × 18 × 10× 1.20 kg
= 862.85 kg = 863 kg
= 0.863 tonnes
4. Main engine Cooling: 7 g/ kwh
= 7 × 6000×10× 24 × 1.20 g
= 12096kg
= 12.096 tonnes
5. Auxiliary engine Cooling: 0.20 × Main engine cooling water
= 0.20 × 15.3 tonnes
= 3 tonnes
Total fresh water needed = 4.32+43.2 +0.863 +12.09 +3 = 63.7 tonnes
 Fuel Oil:
Engine: B32:40V12P
Engine power: 6000 kw
SFC : 184 g/kwh
Fuel needed : 184 × × 10 × 24 × 1.20
Ship Design & Project
Page 8
= 318 tonnes
 Lubricating Oil:
Specific lubricating oil consumption = 0.8 g/BHPh
Weight = 0.8 × 6000 ×10× 24 × 1.20 g
= 1382 kg
= 1.38 tonnes
 Generator Fuel:
Model : 6090HF484
SFC : 59.1 l/h( 15.6g/h)
Generator power : 2x250 kw
Fuel needed : 59.1 × 2 × 10× 18 × 1.20 g
= 25528.5 kg
= 25.52 tonnes
Summary:
DWT : 20000 tonnes
Fresh Water : 66.7 tonnes
Engine Fuel : 318 tonnes
Generator Fuel : 25.52 tonnes
Lubricating Oil : 1.38 tonnes
Performance Curves
'C' 120
1 (54)
<!!.
"' 80
i (34)
I
"i 40
l (18)
D · PRIME 0 · STAHD8Y
L,Jt--'
,0
-,..,.,..
~
v-
_,,,)
,-~ --1..-
20 60 100 140 160 220 280 300
(1S) (45) (76) (104) (13-4) (164) (190) (224)
Brake Power- hi) (kW)
Ship Design & Project
Page 9
Reference [2]
Crew : 1.35 tonnes
Store & Provisions : 1.08 tonnes
TOTAL = 414.53 TONNES
CAPACITY = 20000 – 415 = 19585 TONNES
Displacement, Δ =
𝐷𝐷𝐷𝐷𝐷𝐷
Cd
=
20000
0.7733
= 25863.183 𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡
Lightweight, LWT = 25863.183 – 20000 = 5863.183 tonnes
2.3.3 Draft Calculation
We know,
Δ = (L/B) × (B/T)2
× T3
× Cb
Or, T =�
Δ
𝐶𝐶𝐶𝐶×�
𝐿𝐿
𝐵𝐵
�×(
𝐵𝐵
𝑇𝑇
)2
3
= �
26692.105
0.795×(5.93)× 2.692
3
= 9.21
2.3.4 Breadth Calculation
B/T = 2.69
Ship Design & Project
Page 10
Or, B = 2.69 × 9.21 = 24.78 m
2.3.5 Length Calculation
L/B = 5.93
Or, L = 5.93 × 24.78 = 145.28 m
2.3.6 Depth Calculation
T/D = 0.72
Or, D = 8.35 /.72= 12.79 m
2.3.7 Summary of Principal Particulars
Displacement, Δ = 25863.183 tonnes = 26103 tonnes
CARGO CAPACITY = 20000 – 485 = 19515 TONNES
Dead weight, DWT = 20000 tonnes
Light weight, LWT = 5863.183 tonnes
Length, LOA = 149.77 m
Length, LBP = 145.28 m
Breadth, BMLD = 24.78 m
Depth, D = 12.79 m
Draught, T = 9.21 m
Block coefficient, Cb =0 .775
Ship Design & Project
Page 11
2.3.8 Free Board Calculation
[According to :ILLC 1966, Bulk Carrier: Type ‘B’ Vessel.]
Length Free board
243 3893
244 3934
245 3949
246 3965
247 3975
248 3978
289 3992
By liniear inter pulation for length L = 145.28 FreeBoard Is 3953.48 mm
2.3.9 Sheer Calculation
2.3.10 Minimum Bow Height
As Length, L < 250m
=
56𝐿𝐿 �1 −
𝐿𝐿
500
� 1.36
𝐶𝐶𝐵𝐵 + 0.68
𝑚𝑚𝑚𝑚
AP
1
6
𝐿𝐿
1
3
𝐿𝐿
Midship
2
3
𝐿𝐿
5
6
𝐿𝐿
FP
25(
𝐿𝐿
3
+ 10) 11.1(
𝐿𝐿
3
+ 10) 2.8(
𝐿𝐿
3
+ 10)
0
5.6(
𝐿𝐿
3
+ 10) 22.2(
𝐿𝐿
3
+ 10) 25(
𝐿𝐿
3
+ 10)
2066 648.5 163.59 0 327.189 1297 1460.676.65
Ship Design & Project
Page 12
[3]
=
8135.7 �1 −
145.28
500
� 1.36
0.79 + 0.68
𝑚𝑚𝑚𝑚
= 5339.89 𝑚𝑚𝑚𝑚
2.3.11 Wheel House Height
[According to https: panama-canal-bridge-visibility-requirements]
AC = 2× 145.28 m = 290560 mm
Bow height h = 5339.89
2.3.12 Primary Length of Poop Deck[5]
Poop deck covers 15% of ships length & Pood Deck’s front should not
exceed 50% Of Length Amitship.
fig2.1:
Ship Design & Project
Page 13
[4]
For Our ship Poop deck Height =
36.25+2×145.28
2×145.28
× (5.3 + 12.79) m = 20 m
(maximum)
2.3.13 Dimention for Bulbusbow
Length of Bulbusbow Will be calculated by subtracting at X distance forward per
pendicular .
𝑋𝑋 =
a
2
= 0.015L = 2.175 m
a = 4.35m (maximum)
Ship Design & Project
Page 14
Fig 2.2 : Dimension for bulbusbow
[5]
Length of collision bulkhead should not be more than 7% of L
So 0.07×145.28 m = 10.15 m
Hc = Height Of Hatchways = 600mm
Calculation of Determining the Distance of Cargo holds
from Collision Bulkhead:
For Position 1 : Hatchway height Hc = 600 mm
𝐿𝐿𝑓𝑓 = 5 × ( 𝐻𝐻𝐻𝐻 − 𝐻𝐻𝐻𝐻)0.5
𝑚𝑚 = 3.53 m
Hf = (Hc+0.5) mm = 600.5 mm
Ship Design & Project
Page 15
Angles Ranges ( °) For Our Ship
Α ( A1) 15 ˜ 55 45
ß (A2) 25 ˜ 90 48
2.3.14 Navigation In Ice
Awf = Area of waterplane in Bow
B/4 = Breadth /4 = 6.133 m
2.3.15 Primary Length Of Cargo Hold
Length remaining = L - (7% of L For Forcastle ) –( 15% of L/2 For
Poop deck) – Lf
Ship Design & Project
Page 16
Fig2.3 : Navigation in ice
= 145.28 – ( .07×145.28+.15×(145.28/2)+3.53) m
= 145.28 – 25.59 m
=120.68 m
So Length of Cargo hold = 120/5 = 24 m (minimum)
Ship Design & Project
Page 17
GALLEY
WARDROBE
WARDROBE
LCD TV
SAFE
SAFE
WARDROBE
SAFEWARDROBE
LCD TV
SAFE
SAFE
WARDROBE
WARDROBE
WARDROBE
WARDROBE
FRIDGE
LCD TV
WARDROBE
WARDROBE
WARDROBE
WARDROBE
WARDROBE
LCD TV
SAFE
SAFE
WARDROBE
SAFE
WARDROBE
SAFE
WARDROBE
SAFESAFE
LCDTV
First
Engr.
Asst.
Cook2Gps
Operator
TOILET
AND
BATH
UP
UP
DN
DN
TOILET
AND
BATH
ELECTRICIAN
TOILET
AND
BATH
TOILET
AND
BATH
UP
DN
FUNNEL
OWNER
DN
UP
DN
UP
DN
STORE
ROOM
E.L.H
Second
Engr
DECK
MAINTENANCE
BATHROOM
BATHROOM
Exra Cabin 2
CHIEF
MATE
2nd MATE
TOILET
DN
TOILET
AND
BATH
Sea Man
UP
Asst.
Cook1
TOILET
AND
BATH
E.L.H
Chief
Steward
TOILET
AND
BATH
BATHROOM
TOILET
CAPTAIN
BATHROOM
Electric
Storage
Cleaner
TOILET
TOILET
DN
WHEEL
HOUSE
DN
E.L.H
GANTRY CRANE
OPERATOR 1
Extra Cabin
DN
W. T.
DINING
ROOM
Chief
Cook
TOILET
AND
BATH
TOILET
AND
BATH
TOILET
AND
BATH
Radio
Operator
TOILET
AND
BATH
Deck
Maintenence
Steward 1
TOILET
AND
BATH
Extra Cabin 3
CREW
DINING
ROOM
DINING
ROOM
W W
24
WW
36
W
WATER BALLASTWATER BALLAST
W
48
WATER BALLAST
CHAIN LOCKER
HATCH COVER
W
Engine Room
UNDER DECK
HATCH COVER
BHD BHDW
60
BHDBHDW
BOW
THRUSTER
FORE PEAK
W W
BRIDGE DECK 2
FIRST AID
W
WATER BALLAST
WATER BALLASTWATER BALLAST
W
72
WATER BALLAST
WATER BALLAST
W
WATER BALLAST
WATER BALLAST
W
84
WATER BALLASTWATER BALLAST
W
CARGO HOLD 4CARGO HOLD 3CARGO HOLD 2
WW
96
WWW WWW
108
WWW W
PAINT
STORECO2
BOTTLE
ROOM
WW
120
W
DECK
MAINTEN-
ANCE
ROOM
SLOP
CHEST
STEWARDS
STORE &
PROVISSIONS
LAUNDRYENG. SHOP
& STORES
ELECTRIC
SHOP &
STORES
GARVAGE
STORE
EMERGENCY
GENERATOR
ROOM
AC&
REFRIGERATION
ROOM
PASSAGE
PASSAGE
LIFE
BOAT
LIFE
BOAT
CARGO HOLD 1
WW W
CARGO HOLD 5
W
WATER BALLAST
W
WATER BALLAST
132
WATER BALLAST
W
WATER BALLAST
W
WATER BALLAST
W
WATER BALLAST
WW W
HATCH COVER
143
NAVIGATION DECK
W
MAIN DECK
W
AFT PEAK
WBHD W
BHD W
BHD W
145
W
HATCH COVER
W
HATCH COVER
W
WATER BALLAST
W
WATER BALLAST
W WWW WW
ELEVATION
W
Frame spaceing = 1200 mm
W
W
RADAR
W W
12
Ship Design & Project
Page 18
Chapter 3
Lines Plan & Offset Table
Ship Design & Project
Page 19
Station spacing 7. 26 m
Water line spacing 1.81 m
WL-4
WL-0.5
WL-2
WL-5
ST8
ST12
WL-2
WL-1
WL-6
WL-3
WL-1
WL-6
ST11
ST18
ST5
WL-0
FP
WL-3
ST1
ST1.5
ST2
ST3
ST4
WL-4
ST6
ST7
ST8
ST9
ST17
ST10
ST19.5
ST13
ST14
ST15
ST16
ST17
ST18
ST18.5
WL-5
WL-4
AP
FP
ST0.5
ST1
ST1.5
ST2
ST3
ST4
ST5
ST6
ST7
WL-5
ST9
ST10
ST11
ST12
ST13
ST14
ST15
ST16
WL-0
WL-6
ST18.5
ST19
WL-0.5
AP
DECK
CL
BTK-4
BTK-3
BTK-2
BTK-1
BTK-4
BTK-3
BTK-2
BTK-1
BTK-1
BTK-4
BTK-3
BTK-2
ST19
ST0.5
ST19.5
WL-0
DECK
WL-0.5
WL-1
WL-2
WL-3
BREADTH
DRAFT
Md. Ashifur Rahamn(1312029)
9.07 m
24.65 m
DEPTH
LENGTH(LWL)
Md. Abdur Rahim(1312036)
145.28 m
LINES PLAN
Fig 3.1 : PROFILE Fig 3.3 : BODY PLAN
Fig 3.2 : HALF BREADTH PLAN
SUBMITTED BY:
149.7 m
PRINCIPAL PARTICULARS
SCALE: 1:1
LENGTH(OA)
LENGTH(BP)
139.2 m
12.79 m
20000 T DWT CARGO SHIP
Chapter 3
Lines Plan & Offset Table
Ship Design & Project
Page 20
Water
Lines 0 0.5 1 2 3 4 5 6
KEEL BTK 1 BTK 2 BTK 3 BTK 4
sections 68 7792 10652 0 0
0 1532 7820 11527 00 1836.65 2119.46 1554.93 3.3 1421.78 3017.42 4439.2
0 835 5940 9155 0
967.29 2266.92 2512.32 2134.87 2462.8 4084.86 5325.06 6437.61
0 506 4786 7445 11638
1202.79 2445.19 2818.24 2890.87 4035.34 5659.6 6863.48 7884.7
0 390 3740 6348 9916
1275.42 2700.5 3293.64 3805.34 5246.93 6816.17 8057.47 9017.06
0 240 1407 4375 7665
1492.21 3077.95 3931.9 4731.92 6218.62 7725.13 8987.35 9873.21
0 139 659 1972 5484
1886.17 4010.03 5366.88 6692.92 7939.72 9195.33 10252.86 10930.73
0 0 378 1139 2378
2406.68 4994.93 7143 8767.26 9634.41 10395.92 11012.17 11474.35
0 0 132 431 1285
3733.81 6374.89 9296.57 10335.39 10825.09 11211.35 11544.78 11854.01
0 0 0 0 597
6104.18 9214.04 10640.22 11320.29 11543.68 11748.37 11934.34 12113.71
0 0 0 0 325
8445.93 10881.21 11603.11 12016.88 12065.29 12134.62 12191.85 12249.07
0 0 0 0 325
9428.63 11478.76 12042.19 12325 12325 12325 12325 12325
0 0 0 0 325
9427.52 11477.66 12041.08 12325 12325 12325 12325 12325
0 0 0 0 325
9426.42 11476.56 12039.98 12325 12325 12325 12325 12325
0 0 0 0 325
9425.32 11475.46 12037.78 12325 12325 12325 12325 12325
0 0 0 0 325
9423.12 11474.35 12036.68 12325 12325 12325 12325 12325
0 0 0 0 325
9422.02 11473.25 12035.58 12325 12325 12325 12325 12325
0 0 0 0 384
9420.92 11471.05 12034.48 12325 12325 12325 12325 12325
0 0 0 255 1173
9078.68 11285.08 11921.14 12301.89 12273.28 12298.59 12314 12318.4
0 0 252 763 2246
6083.27 9648.71 10821.79 11633.92 11813.29 11993.77 12145.63 12254.57
0 161 456 1478 3668
3136.27 6031.55 9405.52 10799.78 11253.17 11611.91 11916.73 12139.02
0 221 498 2015 4610
1941.19 3882.38 7350.98 9764.26 10576.39 11148.62 11625.12 11964.05
0 508 921 2836 5808
1572.54 3150.58 6071.16 9102.89 10124.11 10810.79 11367.61 11753.87
833 1984 2898 4161 7757
1378.86 2808.34 5243.63 8358.99 9538.67 10318.89 10929.63 11336.8
5682 6325 6808 7388 11174
0 1519.72 3386.07 6675.31 8374.4 9374.7 10153.82 10652.32
0 0 0 0 0 6422.21 8520.79 9517.76
Table 3.1 : Offset Table
Half Breadths
Ship Design & Project
Page 21
0 0.5 1 2 3 4 5 6
0 1836.65 2119.46 1554.93 3.3 1421.78 3017.42 4439.2
967.29 2266.92 2512.32 2134.87 2462.8 4084.86 5325.06 6437.61
1202.79 2445.19 2818.24 2890.87 4035.34 5659.6 6863.48 7884.7
1275.42 2700.5 3293.64 3805.34 5246.93 6816.17 8057.47 9017.06
1492.21 3077.95 3931.9 4731.92 6218.62 7725.13 8987.35 9873.21
1886.17 4010.03 5366.88 6692.92 7939.72 9195.33 10252.86 10930.73
2406.68 4994.93 7143 8767.26 9634.41 10395.92 11012.17 11474.35
3733.81 6374.89 9296.57 10335.39 10825.09 11211.35 11544.78 11854.01
6104.18 9214.04 10640.22 11320.29 11543.68 11748.37 11934.34 12113.71
8445.93 10881.21 11603.11 12016.88 12065.29 12134.62 12191.85 12249.07
9428.63 11478.76 12042.19 12325 12325 12325 12325 12325
9427.52 11477.66 12041.08 12325 12325 12325 12325 12325
9426.42 11476.56 12039.98 12325 12325 12325 12325 12325
9425.32 11475.46 12037.78 12325 12325 12325 12325 12325
9423.12 11474.35 12036.68 12325 12325 12325 12325 12325
9422.02 11473.25 12035.58 12325 12325 12325 12325 12325
9420.92 11471.05 12034.48 12325 12325 12325 12325 12325
9078.68 11285.08 11921.14 12301.89 12273.28 12298.59 12314 12318.4
6083.27 9648.71 10821.79 11633.92 11813.29 11993.77 12145.63 12254.57
3136.27 6031.55 9405.52 10799.78 11253.17 11611.91 11916.73 12139.02
1941.19 3882.38 7350.98 9764.26 10576.39 11148.62 11625.12 11964.05
1572.54 3150.58 6071.16 9102.89 10124.11 10810.79 11367.61 11753.87
1378.86 2808.34 5243.63 8358.99 9538.67 10318.89 10929.63 11336.8
0 1519.72 3386.07 6675.31 8374.4 9374.7 10153.82 10652.32
0 0 0 0 0 6422.21 8520.76 9517.76
1815.6
7264.25
=145280 mm
distance between two WL 
distance between two section
ship's  Lbp= 145.28m
Half Breadth
Ship Design & Project
Page 22
Chapter 4
Hydrostatic Calculation
Ship Design & Project
Page 23
The following formulas are used to perform hydrostatic calculation and to obtain hydrostatic
curves:
1. Calculation of Displacement
Half of water plane area = AWP = ∫ y dx
Using Simpsons first rule, AWP = 2∫ y dx =
1
3
× h ×∑ y × Simpson′
s multiplier
Displacement of the ship,
V = ∬ y dx dz =
1
3
× k × (
1
3
h ∑ y × Simpson′
s multiplier ) × Simpson’s multiplier
2. Vertical Centre of Buoyancy (VCB)
Total displacement of the ship
KB =
Moment of the volume about the keel
3. Longitudinal centre of buoyancy (LCB)
Total displacement of the ship
LCB =
Moment of the volume about amidship
4. Tons Per Centimetre Immersion (TPC)
TPC =
𝐴𝐴 𝑊𝑊𝑊𝑊
100
5. Transverse Metacentre
Transverse Metacentre, BMT =
𝐼𝐼
𝛻𝛻
=
1
3
∫ 𝑦𝑦3 𝑑𝑑𝑑𝑑
𝛻𝛻
=
1
3
× 1
3
×h × ∑ y3 ×Simpson′s multiplier
∇
6. Longitudinal metacentre
Longitudinal Metacentre BML =
ICF
∇
=
IM−Ah2
∇
=
1
3
∫ yx2dx− Ah2
∇
=3
1
×
1
3
×h × ∑ yx2 ×Simpson′smultiplier− Ah2
∇
7. Longitudinal centre of flotatation (LCF)
LCF =
Moment of the waterplane area about amidship
Waterplane area ∫ y dx
=
∫ yx dx
8. Moment to change trim 1 centimeter (MCTC)
MCTC =
∆ × GML
12 L 12 L
≈
∆ × BML
9. Form coefficients
∆
Block coefficient, 𝐶𝐶𝐵𝐵 =
𝐿𝐿 ×𝐵𝐵×𝐻𝐻
Prismatic coefficient, 𝐶𝐶𝑃𝑃 =
∆
𝐿𝐿 ×𝐵𝐵
𝐿𝐿 ×𝐴𝐴 𝑀𝑀
Midship area coefficient, 𝐶𝐶𝑚𝑚 =
𝐴𝐴 𝑀𝑀
𝐵𝐵 ×𝐻𝐻
Water plane area coefficient, 𝐶𝐶𝑤𝑤 =
𝐴𝐴 𝑊𝑊𝑊𝑊
SM
section SM y0 y x SM y1 y x SM y2 y x SM
0 0.5 0.0000 0 1836.6500 918.325 2119.4600 1059.73 6286.87 1902407 951203.43 ‐10 ‐9512034
0.5 2 967.2900 1934.58 2266.9200 4533.84 2512.3200 5024.64 10229.75 3095521 6191041.7 ‐9.5 ‐5.9E+07
1 1 1202.7900 1202.79 2445.1900 2445.19 2818.2400 2818.24 11378.62 3443169 3443168.9 ‐9 ‐3.1E+07
1.5 2 1275.4200 2550.84 2700.5000 5401 3293.6400 6587.28 12343.73 3735213 7470425.4 ‐8.5 ‐6.3E+07
2 1.5 1492.2100 2238.315 3077.9500 4616.925 3931.9000 5897.85 14076.38 4259511 6389266.6 ‐8 ‐5.1E+07
3 4 1886.1700 7544.68 4010.0300 16040.12 5366.8800 21467.52 18072.11 5468619 21874476 ‐7 ‐1.5E+08
4 2 2406.6800 4813.36 4994.9300 9989.86 7143.0000 14286 22424.92 6785781 13571562 ‐6 ‐8.1E+07
5 4 3733.8100 14935.24 6374.8900 25499.56 9296.5700 37186.28 30185.8 9134223 36536892 ‐5 ‐1.8E+08
6 2 6104.1800 12208.36 9214.0400 18428.08 10640.2200 21280.44 46796.5 14160621 28321242 ‐4 ‐1.1E+08
7 4 8445.9300 33783.72 10881.2100 43524.84 11603.1100 46412.44 58838.11 17804412 71217648 ‐3 ‐2.1E+08
8 2 9428.6300 18857.26 11478.7600 22957.52 12042.1900 24084.38 63465.52 19204666 38409333 ‐2 ‐7.7E+07
9 4 9427.5200 37710.08 11477.6600 45910.64 12041.0800 48164.32 63458.9 19202663 76810653 ‐1 ‐7.7E+07
10 2 9426.4200 18852.84 11476.5600 22953.12 12039.9800 24079.96 63452.3 19200666 38401332 0 0
11 4 9425.3200 37701.28 11475.4600 45901.84 12037.7800 48151.12 63446.25 19198835 76795341 1 76795341
12 2 9423.1200 18846.24 11474.3500 22948.7 12036.6800 24073.36 63436.86 19195994 38391988 2 76783975
13 4 9422.0200 37688.08 11473.2500 45893 12035.5800 48142.32 63430.26 19193997 76775987 3 2.3E+08
14 2 9420.9200 18841.84 11471.0500 22942.1 12034.4800 24068.96 63419.26 19190668 38381336 4 1.54E+08
15 4 9078.6800 36314.72 11285.0800 45140.32 11921.1400 47684.56 61876.45 18723814 74895255 5 3.74E+08
16 2 6083.2700 12166.54 9648.7100 19297.42 10821.7900 21643.58 48392.12 14643456 29286911 6 1.76E+08
17 4 3136.2700 12545.08 6031.5500 24126.2 9405.5200 37622.08 27264.12 8250121 33000485 7 2.31E+08
18 1.5 1941.1900 2911.785 3882.3800 5823.57 7350.9800 11026.47 16707.01 5055540 7583309.6 8 60666477
18.5 2 1572.5400 3145.08 3150.5800 6301.16 6071.1600 12142.32 13498.09 4084522 8169044.1 8.5 69436875
19 1 1378.8600 1378.86 2808.3400 2808.34 5243.6300 5243.63 12058.7 3648961 3648961.1 9 32840650
19.5 2 0.0000 0 1519.7200 3039.44 3386.0700 6772.14 4385.845 1327157 2654313.4 9.5 25215977
20 0.5 0.0000 0 0.0000 0 0.0000 0 0 0 0 10 0
sum of the 
area 
products 
of water 
plane 0 338171.6
sum of the 
area 
products of 
water plane 
0.5 467441.1
sum of the 
area 
products of 
water plane 
1 544919.6 739171174
Summatio
n of 
moments 3.95E+08
1.79E+12 LCB 3882.507
Summatio
n of 
volume 
products 1.18E+10 1.79E+12
Summatio
n of 
moments  3.21E+09 492.3558
7264.25 1815.6
Table 1. Waterplane area, Displacement, LCB VCB calculation for WL‐0.5
Water planes 0 0.5 1
VOLUME
Volume 
function  levers
about 
amidship
Different totals 
Summation of 
volume functions
2.5 4 ‐0.5 products 
for 
area 
below 
Waterplane area 1637708552 2263739389 2638954900
‐1319477450
SM 2.5 4 ‐0.5
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
VOLUME
levers 0 0.5 1
Volume products 4094271379 9054957556 ‐1319477450
 Monent about the 
keel 0 4527478778
Chapter 4
Hydrostatic Calculation
Ship Design & Project
Page 24
SM
section SM y0 y x SM y1 y x SM y2 y x SM
0 0.5 0.0000 0 1836.6500 918.325 2119.4600 1059.73 4733.03 5728860 2864430 ‐10 ‐2.9E+07
0.5 2 967.2900 1934.58 2266.9200 4533.84 2512.3200 5024.64 6273.645 7593620 15187240 ‐9.5 ‐1.4E+08
1 1 1202.7900 1202.79 2445.1900 2445.19 2818.2400 2818.24 6900.895 8352843 8352843 ‐9 ‐7.5E+07
1.5 2 1275.4200 2550.84 2700.5000 5401 3293.6400 6587.28 7685.53 9302566 18605131 ‐8.5 ‐1.6E+08
2 1.5 1492.2100 2238.315 3077.9500 4616.925 3931.9000 5897.85 8867.955 10733773 16100659 ‐8 ‐1.3E+08
3 4 1886.1700 7544.68 4010.0300 16040.12 5366.8800 21467.52 11646.59 14097026 56388106 ‐7 ‐3.9E+08
4 2 2406.6800 4813.36 4994.9300 9989.86 7143.0000 14286 14764.7 17871193 35742386 ‐6 ‐2.1E+08
5 4 3733.8100 14935.24 6374.8900 25499.56 9296.5700 37186.28 19264.97 23318320 93273279 ‐5 ‐4.7E+08
6 2 6104.1800 12208.36 9214.0400 18428.08 10640.2200 21280.44 26800.28 32439059 64878118 ‐4 ‐2.6E+08
7 4 8445.9300 33783.72 10881.2100 43524.84 11603.1100 46412.44 31786.94 38474912 1.54E+08 ‐3 ‐4.6E+08
8 2 9428.6300 18857.26 11478.7600 22957.52 12042.1900 24084.38 33692.93 40781922 81563845 ‐2 ‐1.6E+08
9 4 9427.5200 37710.08 11477.6600 45910.64 12041.0800 48164.32 33689.62 40777916 1.63E+08 ‐1 ‐1.6E+08
10 2 9426.4200 18852.84 11476.5600 22953.12 12039.9800 24079.96 33686.32 40773922 81547843 0 0
11 4 9425.3200 37701.28 11475.4600 45901.84 12037.7800 48151.12 33682.47 40769262 1.63E+08 1 1.63E+08
12 2 9423.1200 18846.24 11474.3500 22948.7 12036.6800 24073.36 33678.6 40764577 81529155 2 1.63E+08
13 4 9422.0200 37688.08 11473.2500 45893 12035.5800 48142.32 33675.3 40760583 1.63E+08 3 4.89E+08
14 2 9420.9200 18841.84 11471.0500 22942.1 12034.4800 24068.96 33669.8 40753926 81507852 4 3.26E+08
15 4 9078.6800 36314.72 11285.0800 45140.32 11921.1400 47684.56 33070.07 40028013 1.6E+08 5 8.01E+08
16 2 6083.2700 12166.54 9648.7100 19297.42 10821.7900 21643.58 27749.95 33588539 67177079 6 4.03E+08
17 4 3136.2700 12545.08 6031.5500 24126.2 9405.5200 37622.08 18334 22191468 88765870 7 6.21E+08
18 1.5 1941.1900 2911.785 3882.3800 5823.57 7350.9800 11026.47 12410.85 15022087 22533130 8 1.8E+08
18.5 2 1572.5400 3145.08 3150.5800 6301.16 6071.1600 12142.32 10123.01 12252891 24505783 8.5 2.08E+08
19 1 1378.8600 1378.86 2808.3400 2808.34 5243.6300 5243.63 8927.925 10806360 10806360 9 97257244
19.5 2 0.0000 0 1519.7200 3039.44 3386.0700 6772.14 4732.475 5728188 11456375 9.5 1.09E+08
20 0.5 0.0000 0 0.0000 0 0.0000 0 0 0 0 10 0
sum of the 
area 
products 
of water 
plane 0 338171.6
sum of the area 
products of water 
plane 0.5 467441.1
sum of the area 
products of water 
plane 1 544919.6 1.67E+09
Summatio
n of 
moments 9.03E+08
4.03E+12 LCB 3936.838
Summatio
n of 
volume 
products 6.67E+09 4.03E+12
Summatio
n of 
moments  3.58E+09 975.9786
7264.25 1815.6
Table 1. Waterplane area, Displacement, LCB VCB calculation for WL‐01
Water planes 0 0.5 1
VOLUME
Volume 
function  levers
about 
amidship
Different totals 
Summation of 
volume functions
0.5 2 0.5 products 
for 
area 
below 
Waterplane Area 1637708552 2263739389 2638954900
1319477450
SM 0.5 2 0.5
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
VOLUME
levers 0 0.5 1
Volume products 818854275.8 4527478778 1319477450
 Monent about the 
keel 0 2263739389
Ship Design & Project
Page 25
SM
section SM y0 y x SM y1 y x SM y2 y x SM
0 0.5 0.0000 0 2119.4600 1059.73 1554.9300 777.465 10032.77 12143665 6071832 ‐10 ‐6.1E+07
0.5 2 967.2900 1934.58 2512.3200 5024.64 2134.8700 4269.74 13151.44 15918503 31837006 ‐9.5 ‐3E+08
1 1 1202.7900 1202.79 2818.2400 2818.24 2890.8700 2890.87 15366.62 18599757 18599757 ‐9 ‐1.7E+08
1.5 2 1275.4200 2550.84 3293.6400 6587.28 3805.3400 7610.68 18255.32 22096239 44192479 ‐8.5 ‐3.8E+08
2 1.5 1492.2100 2238.315 3931.9000 5897.85 4731.9200 7097.88 21951.73 26570374 39855561 ‐8 ‐3.2E+08
3 4 1886.1700 7544.68 5366.8800 21467.52 6692.9200 26771.68 30046.61 36368417 1.45E+08 ‐7 ‐1E+09
4 2 2406.6800 4813.36 7143.0000 14286 8767.2600 17534.52 39745.94 48108486 96216972 ‐6 ‐5.8E+08
5 4 3733.8100 14935.24 9296.5700 37186.28 10335.3900 41341.56 51255.48 62039633 2.48E+08 ‐5 ‐1.2E+09
6 2 6104.1800 12208.36 10640.2200 21280.44 11320.2900 22640.58 59985.35 72606268 1.45E+08 ‐4 ‐5.8E+08
7 4 8445.9300 33783.72 11603.1100 46412.44 12016.8800 48067.52 66875.25 80945803 3.24E+08 ‐3 ‐9.7E+08
8 2 9428.6300 18857.26 12042.1900 24084.38 12325.0000 24650 69922.39 84634061 1.69E+08 ‐2 ‐3.4E+08
9 4 9427.5200 37710.08 12041.0800 48164.32 12325.0000 49300 69916.84 84627343 3.39E+08 ‐1 ‐3.4E+08
10 2 9426.4200 18852.84 12039.9800 24079.96 12325.0000 24650 69911.34 84620686 1.69E+08 0 0
11 4 9425.3200 37701.28 12037.7800 48151.12 12325.0000 49300 69901.44 84608703 3.38E+08 1 3.38E+08
12 2 9423.1200 18846.24 12036.6800 24073.36 12325.0000 24650 69894.84 84600714 1.69E+08 2 3.38E+08
13 4 9422.0200 37688.08 12035.5800 48142.32 12325.0000 49300 69889.34 84594057 3.38E+08 3 1.02E+09
14 2 9420.9200 18841.84 12034.4800 24068.96 12325.0000 24650 69883.84 84587400 1.69E+08 4 6.77E+08
15 4 9078.6800 36314.72 11921.1400 47684.56 12301.8900 49207.56 69065.13 83596433 3.34E+08 5 1.67E+09
16 2 6083.2700 12166.54 10821.7900 21643.58 11633.9200 23267.84 61004.35 73839665 1.48E+08 6 8.86E+08
17 4 3136.2700 12545.08 9405.5200 37622.08 10799.7800 43199.12 51558.13 62405961 2.5E+08 7 1.75E+09
18 1.5 1941.1900 2911.785 7350.9800 11026.47 9764.2600 14646.39 41109.37 49758781 74638172 8 5.97E+08
18.5 2 1572.5400 3145.08 6071.1600 12142.32 9102.8900 18205.78 34960.07 42315669 84631337 8.5 7.19E+08
19 1 1378.8600 1378.86 5243.6300 5243.63 8358.9900 8358.99 30712.37 37174253 37174253 9 3.35E+08
19.5 2 0.0000 0 3386.0700 6772.14 6675.3100 13350.62 20219.59 24473792 48947583 9.5 4.65E+08
20 0.5 0.0000 0 0.0000 0 0.0000 0 0 0 0 10 0
sum of the area 
products of 
water plane 0 338171.6
sum of the area 
products of 
water plane 0.5 544919.6
sum of the area 
products of water 
plane 1 595738.8 3.77E+09
Summatio
n of 
moments 2.5E+09
9.13E+12 LCB 4817.615
Summatio
n of 
volume 
products 1.51E+10 9.13E+12
Summatio
n of 
moments  1.63E+10 1965.793
7264.25 1815.6
products 
for 
area 
below 
Volume 
function  levers
 Waterplane area, Displacement, LCB VCB calculation for WL‐02
Water planes 0 1 2
5770127389
about 
amidship
Different totals 
Summation of 
volume functions
SM 1 4 1 VOLUME
Water plane area 1637708552 2638954900 2885063694
1 4 1
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
VOLUME
levers 0 1 2
Volume products 1637708552 10555819599 2885063694
 Monent about the 
keel 0 10555819599
Ship Design & Project
Page 26
SM
section SM y y x SM y y x SM y y x SM y y x SM y y x SM
0.00000 0.50000 2119.46000 1059.73000 1554.93000 777.46500 3.30000 1.65000 1421.78000 710.89000 3017.42000 1508.71000 12879.08000 15588838.43200 7794419.21600 ‐10.00000 ‐77944192.16000
0.50000 2.00000 2512.32000 5024.64000 2134.87000 4269.74000 2462.80000 4925.60000 4084.86000 8169.72000 5325.06000 10650.12000 30884.60000 37382719.84000 74765439.68000 ‐9.50000 ‐710271676.96000
1.00000 1.00000 2818.24000 2818.24000 2890.87000 2890.87000 4035.34000 4035.34000 5659.60000 5659.60000 6863.48000 6863.48000 42745.75000 51739455.80000 51739455.80000 ‐9.00000 ‐465655102.20000
1.50000 2.00000 3293.64000 6587.28000 3805.34000 7610.68000 5246.93000 10493.86000 6816.17000 13632.34000 8057.47000 16114.94000 52450.04500 63485534.46800 126971068.93600 ‐8.50000 ‐1079254085.95600
2.00000 1.50000 3931.90000 5897.85000 4731.92000 7097.88000 6218.62000 9327.93000 7725.13000 11587.69500 8987.35000 13481.02500 60645.59000 73405422.13600 110108133.20400 ‐8.00000 ‐880865065.63200
3.00000 4.00000 5366.88000 21467.52000 6692.92000 26771.68000 7939.72000 31758.88000 9195.33000 36781.32000 10252.86000 41011.44000 75013.04000 90795783.61600 363183134.46400 ‐7.00000 ‐2542281941.24800
4.00000 2.00000 7143.00000 14286.00000 8767.26000 17534.52000 9634.41000 19268.82000 10395.92000 20791.84000 11012.17000 22024.34000 88153.48500 106700978.24400 213401956.48800 ‐6.00000 ‐1280411738.92800
5.00000 4.00000 9296.57000 37186.28000 10335.39000 41341.56000 10825.09000 43300.36000 11211.35000 44845.40000 11544.78000 46179.12000 97946.88000 118554903.55200 474219614.20800 ‐5.00000 ‐2371098071.04000
6.00000 2.00000 10640.22000 21280.44000 11320.29000 22640.58000 11543.68000 23087.36000 11748.37000 23496.74000 11934.34000 23868.68000 104204.03000 126128557.91200 252257115.82400 ‐4.00000 ‐1009028463.29600
7.00000 4.00000 11603.11000 46412.44000 12016.88000 48067.52000 12065.29000 48261.16000 12134.62000 48538.48000 12191.85000 48767.40000 108663.58000 131526397.23200 526105588.92800 ‐3.00000 ‐1578316766.78400
8.00000 2.00000 12042.19000 24084.38000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110783.59500 134092463.38800 268184926.77600 ‐2.00000 ‐536369853.55200
9.00000 4.00000 12041.08000 48164.32000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 110783.04000 134091791.61600 536367166.46400 ‐1.00000 ‐536367166.46400
10.00000 2.00000 12039.98000 24079.96000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110782.49000 134091125.89600 268182251.79200 0.00000 0.00000
11.00000 4.00000 12037.78000 48151.12000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 110781.39000 134089794.45600 536359177.82400 1.00000 536359177.82400
12.00000 2.00000 12036.68000 24073.36000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110780.84000 134089128.73600 268178257.47200 2.00000 536356514.94400
13.00000 4.00000 12035.58000 48142.32000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 110780.29000 134088463.01600 536353852.06400 3.00000 1609061556.19200
14.00000 2.00000 12034.48000 24068.96000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110779.74000 134087797.29600 268175594.59200 4.00000 1072702378.36800
15.00000 4.00000 11921.14000 47684.56000 12301.89000 49207.56000 12273.28000 49093.12000 12298.59000 49194.36000 12314.00000 49256.00000 110482.63000 133728175.35200 534912701.40800 5.00000 2674563507.04000
16.00000 2.00000 10821.79000 21643.58000 11633.92000 23267.84000 11813.29000 23626.58000 11993.77000 23987.54000 12145.63000 24291.26000 106519.38000 128931057.55200 257862115.10400 6.00000 1547172690.62400
17.00000 4.00000 9405.52000 37622.08000 10799.78000 43199.12000 11253.17000 45012.68000 11611.91000 46447.64000 11916.73000 47666.92000 101546.44500 122911817.02800 491647268.11200 7.00000 3441530876.78400
18.00000 1.50000 7350.98000 11026.47000 9764.26000 14646.39000 10576.39000 15864.58500 11148.62000 16722.93000 11625.12000 17437.68000 95288.19500 115336831.22800 173005246.84200 8.00000 1384041974.73600
18.50000 2.00000 6071.16000 12142.32000 9102.89000 18205.78000 10124.11000 20248.22000 10810.79000 21621.58000 11367.61000 22735.22000 91038.29500 110192752.26800 220385504.53600 8.50000 1873276788.55600
19.00000 1.00000 5243.63000 5243.63000 8358.99000 8358.99000 9538.67000 9538.67000 10318.89000 10318.89000 10929.63000 10929.63000 85852.99000 103916459.09600 103916459.09600 9.00000 935248131.86400
19.50000 2.00000 3386.07000 6772.14000 6675.31000 13350.62000 8374.40000 16748.80000 9374.70000 18749.40000 10153.82000 20307.64000 75257.87500 91092131.90000 182184263.80000 9.50000 1730750506.10000
20.00000 0.50000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 6422.21000 3211.10500 8520.76000 4260.38000 34209.60000 41407299.84000 20703649.92000 10.00000 207036499.20000
sum of the 
area products 
of water plane 
0 544919.62000
sum of the area 
products of 
water plane 0.5 595738.79500
sum of the area 
products of 
water plane 1 621093.61500
sum of the area 
products of 
water plane 2 650967.47000
sum of the area 
products of 
water plane 3 673853.98500 6866964362.55000
Summation 
of moments 4480236478.01200
16627781956884.60000 LCB 4739.43887
Summation of 
volume products 27474854522.28130 16627781956884.60000
Summation of 
moments  42407146309.27540 2802.35933
7264.25000 1815.60000
Table 1. Waterplane area, Displacement, LCB VCB calculation for WL‐03
Water planes 0.00000 0.50000 1.00000 2.00000 3.00000
Sectional area below 
waterline Volume function  levers moments about amidship
Different totals  Summation of volume functions
0.50000 2.00000 1.50000 4.00000 1.00000 Area products for 
sectional area 
SM 0.50000 2.00000 1.50000 4.00000 1.00000 VOLUME
Water plane area 2638954899.72333 2885063694.38583 3007852861.84250 3152526962.63167 3263362540.35750
VOLUME
levers 0.00000 0.50000 1.00000 2.00000 3.00000
Volume products 1319477449.86167 5770127388.77167 4511779292.76375 12610107850.52670 3263362540.35750
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
 Monent about the keel 0.00000 2885063694.38583 4511779292.76375 25220215701.05330 9790087621.07250
Ship Design & Project
Page 27
SM
section SM y y x SM y y x SM y y x SM y y x SM y y x SM
0.0000 0.5000 0.0000 0.0000 2119.4600 1059.7300 1554.9300 777.4650 3.3000 1.6500 1421.7800 710.8900 13022.6800 15762651.8720 7881325.9360 ‐10.0000 ‐78813259.3600
0.5000 2.0000 967.2900 1934.5800 2512.3200 5024.6400 2134.8700 4269.7400 2462.8000 4925.6000 4084.8600 8169.7200 29222.3700 35370756.6480 70741513.2960 ‐9.5000 ‐672044376.3120
1.0000 1.0000 1202.7900 1202.7900 2818.2400 2818.2400 2890.8700 2890.8700 4035.3400 4035.3400 5659.6000 5659.6000 40058.4500 48486747.8800 48486747.8800 ‐9.0000 ‐436380730.9200
1.5000 2.0000 1275.4200 2550.8400 3293.6400 6587.2800 3805.3400 7610.6800 5246.9300 10493.8600 6816.1700 13632.3400 49864.5500 60356051.3200 120712102.6400 ‐8.5000 ‐1026052872.4400
2.0000 1.5000 1492.2100 2238.3150 3931.9000 5897.8500 4731.9200 7097.8800 6218.6200 9327.9300 7725.1300 11587.6950 59283.2600 71756457.9040 107634686.8560 ‐8.0000 ‐861077494.8480
3.0000 4.0000 1886.1700 7544.6800 5366.8800 21467.5200 6692.9200 26771.6800 7939.7200 31758.8800 9195.3300 36781.3200 77693.7400 94040502.8960 376162011.5840 ‐7.0000 ‐2633134081.0880
4.0000 2.0000 2406.6800 4813.3600 7143.0000 14286.0000 8767.2600 17534.5200 9634.4100 19268.8200 10395.9200 20791.8400 97446.7600 117949558.3040 235899116.6080 ‐6.0000 ‐1415394699.6480
5.0000 4.0000 3733.8100 14935.2400 9296.5700 37186.2800 10335.3900 41341.5600 10825.0900 43300.3600 11211.3500 44845.4000 116102.5800 140530562.8320 562122251.3280 ‐5.0000 ‐2810611256.6400
6.0000 2.0000 6104.1800 12208.3600 10640.2200 21280.4400 11320.2900 22640.5800 11543.6800 23087.3600 11748.3700 23496.7400 129228.7300 156418454.7920 312836909.5840 ‐4.0000 ‐1251347638.3360
7.0000 4.0000 8445.9300 33783.7200 11603.1100 46412.4400 12016.8800 48067.5200 12065.2900 48261.1600 12134.6200 48538.4800 139287.9100 168594086.2640 674376345.0560 ‐3.0000 ‐2023129035.1680
8.0000 2.0000 9428.6300 18857.2600 12042.1900 24084.3800 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143872.3900 174143140.8560 348286281.7120 ‐2.0000 ‐696572563.4240
9.0000 4.0000 9427.5200 37710.0800 12041.0800 48164.3200 12325.0000 49300.0000 12325.0000 49300.0000 12325.0000 49300.0000 143866.8400 174136423.1360 696545692.5440 ‐1.0000 ‐696545692.5440
10.0000 2.0000 9426.4200 18852.8400 12039.9800 24079.9600 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143861.3400 174129765.9360 348259531.8720 0.0000 0.0000
11.0000 4.0000 9425.3200 37701.2800 12037.7800 48151.1200 12325.0000 49300.0000 12325.0000 49300.0000 12325.0000 49300.0000 143851.4400 174117782.9760 696471131.9040 1.0000 696471131.9040
12.0000 2.0000 9423.1200 18846.2400 12036.6800 24073.3600 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143844.8400 174109794.3360 348219588.6720 2.0000 696439177.3440
13.0000 4.0000 9422.0200 37688.0800 12035.5800 48142.3200 12325.0000 49300.0000 12325.0000 49300.0000 12325.0000 49300.0000 143839.3400 174103137.1360 696412548.5440 3.0000 2089237645.6320
14.0000 2.0000 9420.9200 18841.8400 12034.4800 24068.9600 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143833.8400 174096479.9360 348192959.8720 4.0000 1392771839.4880
15.0000 4.0000 9078.6800 36314.7200 11921.1400 47684.5600 12301.8900 49207.5600 12273.2800 49093.1200 12298.5900 49194.3600 142758.7300 172795166.7920 691180667.1680 5.0000 3455903335.8400
16.0000 2.0000 6083.2700 12166.5400 10821.7900 21643.5800 11633.9200 23267.8400 11813.2900 23626.5800 11993.7700 23987.5400 131885.2000 159633846.0800 319267692.1600 6.0000 1915606152.9600
17.0000 4.0000 3136.2700 12545.0800 9405.5200 37622.0800 10799.7800 43199.1200 11253.1700 45012.6800 11611.9100 46447.6400 118982.5000 144016418.0000 576065672.0000 7.0000 4032459704.0000
18.0000 1.5000 1941.1900 2911.7850 7350.9800 11026.4700 9764.2600 14646.3900 10576.3900 15864.5850 11148.6200 16722.9300 104327.8100 126278381.2240 189417571.8360 8.0000 1515340574.6880
18.5000 2.0000 1572.5400 3145.0800 6071.1600 12142.3200 9102.8900 18205.7800 10124.1100 20248.2200 10810.7900 21621.5800 95370.1900 115436077.9760 230872155.9520 8.5000 1962413325.5920
19.0000 1.0000 1378.8600 1378.8600 5243.6300 5243.6300 8358.9900 8358.9900 9538.6700 9538.6700 10318.8900 10318.8900 87544.9300 105964383.2720 105964383.2720 9.0000 953679449.4480
19.5000 2.0000 0.0000 0.0000 3386.0700 6772.1400 6675.3100 13350.6200 8374.4000 16748.8000 9374.7000 18749.4000 69767.2000 84446218.8800 168892437.7600 9.5000 1604478158.7200
20.0000 0.5000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6422.2100 3211.1050 6422.2100 7773442.9840 3886721.4920 10.0000 38867214.9200
sum of the 
area 
products of 
water plane 
0 338171.5700
sum of the 
area 
products of 
water plane 
0.5 544919.6200
sum of the 
area 
products of 
water plane 
1 595738.7950
sum of the 
area 
products of 
water plane 
2 621093.6150
sum of the 
area 
products of 
water plane 
3 650967.4700 8284788047.5280
Summatio
n of 
moments 5752564009.8080
20060923858085.1000 LCB 5043.9508
Summation of 
volume 
products 33147593949.2483 20060923858085.1000
Summation of 
moments  70800416569.0733 3877.9658
7264.2500 1815.6000
Table 5. Waterplane area, Displacement, LCB VCB calculation for WL‐04
Water planes 0.0000 1.0000 2.0000 3.0000 4.0000
Sectional area 
below waterline Volume function  levers
moments about 
amidship
Different totals  Summation of volume functions
1.0000 4.0000 2.0000 4.0000 1.0000 Area products 
for sectional 
SM 1.0000 4.0000 2.0000 4.0000 1.0000 VOLUME
Water plane area 1637708551.5817 2638954899.7233 2885063694.3858 3007852861.8425 3152526962.6317
VOLUME
levers 0.0000 1.0000 2.0000 3.0000 4.0000
Volume products 1637708551.5817 10555819598.8933 5770127388.7717 12031411447.3700 3152526962.6317
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
 Monent about the 
keel 0.0000 10555819598.8933 11540254777.5433 36094234342.1100 12610107850.5267
Ship Design & Project
Page 28
SM
section SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM
0.000 0.500 0.000 0.000 1836.650 918.325 2119.460 1059.730 1554.930 777.465 3.300 1.650 1421.780 710.890 3017.420 1508.710 21783.350 26366566.840 13183283.420 ‐10.000 ‐131832834.200
0.500 2.000 967.290 1934.580 2266.920 4533.840 2512.320 5024.640 2134.870 4269.740 2462.800 4925.600 4084.860 8169.720 5325.060 10650.120 43915.545 53155375.668 106310751.336 ‐9.500 ‐1009952137.692
1.000 1.000 1202.790 1202.790 2445.190 2445.190 2818.240 2818.240 2890.870 2890.870 4035.340 4035.340 5659.600 5659.600 6863.480 6863.480 58855.175 71238303.820 71238303.820 ‐9.000 ‐641144734.380
1.500 2.000 1275.420 2550.840 2700.500 5401.000 3293.640 6587.280 3805.340 7610.680 5246.930 10493.860 6816.170 13632.340 8057.470 16114.940 72016.540 87168820.016 174337640.032 ‐8.500 ‐1481869940.272
2.000 1.500 1492.210 2238.315 3077.950 4616.925 3931.900 5897.850 4731.920 7097.880 6218.620 9327.930 7725.130 11587.695 8987.350 13481.025 84052.645 101737321.508 152605982.262 ‐8.000 ‐1220847858.096
3.000 4.000 1886.170 7544.680 4010.030 16040.120 5366.880 21467.520 6692.920 26771.680 7939.720 31758.880 9195.330 36781.320 10252.860 41011.440 106698.765 129148185.156 516592740.624 ‐7.000 ‐3616149184.368
4.000 2.000 2406.680 4813.360 4994.930 9989.860 7143.000 14286.000 8767.260 17534.520 9634.410 19268.820 10395.920 20791.840 11012.170 22024.340 128841.410 155949642.664 311899285.328 ‐6.000 ‐1871395711.968
5.000 4.000 3733.810 14935.240 6374.890 25499.560 9296.570 37186.280 10335.390 41341.560 10825.090 43300.360 11211.350 44845.400 11544.780 46179.120 147943.460 179070763.984 716283055.936 ‐5.000 ‐3581415279.680
6.000 2.000 6104.180 12208.360 9214.040 18428.080 10640.220 21280.440 11320.290 22640.580 11543.680 23087.360 11748.370 23496.740 11934.340 23868.680 164736.840 199397471.136 398794942.272 ‐4.000 ‐1595179769.088
7.000 4.000 8445.930 33783.720 10881.210 43524.840 11603.110 46412.440 12016.880 48067.520 12065.290 48261.160 12134.620 48538.480 12191.850 48767.400 176318.480 213415888.192 853663552.768 ‐3.000 ‐2560990658.304
8.000 2.000 9428.630 18857.260 11478.760 22957.520 12042.190 24084.380 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181310.120 219457769.248 438915538.496 ‐2.000 ‐877831076.992
9.000 4.000 9427.520 37710.080 11477.660 45910.640 12041.080 48164.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 181305.700 219452419.280 877809677.120 ‐1.000 ‐877809677.120
10.000 2.000 9426.420 18852.840 11476.560 22953.120 12039.980 24079.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181301.300 219447093.520 438894187.040 0.000 0.000
11.000 4.000 9425.320 37701.280 11475.460 45901.840 12037.780 48151.120 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 181295.250 219439770.600 877759082.400 1.000 877759082.400
12.000 2.000 9423.120 18846.240 11474.350 22948.700 12036.680 24073.360 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181290.280 219433754.912 438867509.824 2.000 877735019.648
13.000 4.000 9422.020 37688.080 11473.250 45893.000 12035.580 48142.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 181285.880 219428429.152 877713716.608 3.000 2633141149.824
14.000 2.000 9420.920 18841.840 11471.050 22942.100 12034.480 24068.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181279.280 219420440.512 438840881.024 4.000 1755363524.096
15.000 4.000 9078.680 36314.720 11285.080 45140.320 11921.140 47684.560 12301.890 49207.560 12273.280 49093.120 12298.590 49194.360 12314.000 49256.000 180253.690 218179066.376 872716265.504 5.000 4363581327.520
16.000 2.000 6083.270 12166.540 9648.710 19297.420 10821.790 21643.580 11633.920 23267.840 11813.290 23626.580 11993.770 23987.540 12145.630 24291.260 168854.710 204381740.984 408763481.968 6.000 2452580891.808
17.000 4.000 3136.270 12545.080 6031.550 24126.200 9405.520 37622.080 10799.780 43199.120 11253.170 45012.680 11611.910 46447.640 11916.730 47666.920 151809.345 183750031.188 735000124.752 7.000 5145000873.264
18.000 1.500 1941.190 2911.785 3882.380 5823.570 7350.980 11026.470 9764.260 14646.390 10576.390 15864.585 11148.620 16722.930 11625.120 17437.680 136191.245 164845882.948 247268824.422 8.000 1978150595.376
18.500 2.000 1572.540 3145.080 3150.580 6301.160 6071.160 12142.320 9102.890 18205.780 10124.110 20248.220 10810.790 21621.580 11367.610 22735.220 127464.720 154283297.088 308566594.176 8.500 2622816050.496
19.000 1.000 1378.860 1378.860 2808.340 2808.340 5243.630 5243.630 8358.990 8358.990 9538.670 9538.670 10318.890 10318.890 10929.630 10929.630 118890.045 143904510.468 143904510.468 9.000 1295140594.212
19.500 2.000 0.000 0.000 1519.720 3039.440 3386.070 6772.140 6675.310 13350.620 8374.400 16748.800 9374.700 18749.400 10153.820 20307.640 99221.205 120097346.532 240194693.064 9.500 2281849584.108
20.000 0.500 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 6422.210 3211.105 8520.760 4260.380 34209.600 41407299.840 20703649.920 10.000 207036499.200
sum of the 
area 
products 
of water 
plane 0 338171.570
sum of the 
area 
products 
of water 
plane 0.5 467441.110
sum of the 
area 
products 
of water 
plane 1 544919.620
sum of the 
area 
products 
of water 
plane 2 595738.795
sum of the 
area 
products 
of water 
plane 3 621093.615
sum of the 
area 
products 
of water 
plane 4 650967.470
sum of the 
area 
products 
of water 
plane 5 673853.985 10680828274.584
Summation of 
moments 7023736329.792
25862735597882.300 LCB 4776.987
Summation 
of volume 
products 42734196295.245 25862735597882.300
Summation 
of moments  114107042568.499 4847.938
7264.250 1815.600
Displacement= 25862.7356
Cb = 0.795511716
Table 6. Waterplane area, Displacement, LCB VCB calculation for WL‐05
Water planes 0.000 0.500 1.000 2.000 3.000 4.000 5.000
moments about 
amidship
0.500 2.000 1.500 4.000 2.000 4.000 1.000 Area 
products 
Sectional area 
below waterline Volume function  levers
Different totals  Summation of volume functions
Water plane area 1637708551.582 2263739388.878 2638954899.723 2885063694.386 3007852861.843 3152526962.632 3263362540.358
SM 0.500 2.000 1.500 4.000 2.000 4.000 1.000 VOLUME
12610107850.527 3263362540.358 VOLUME
levers 0.000 0.500 1.000 2.000 3.000 4.000
Volume products 818854275.791 4527478777.757 3958432349.585 11540254777.543 6015705723.685
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
5.000
 Monent about the 
keel 0.000 2263739388.878 3958432349.585 23080509555.087 18047117171.055 50440431402.107 16316812701.788
Ship Design & Project
Page 29
SM
section SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM
0.000 0.500 4439.200 2219.600 1836.650 918.325 2119.460 1059.730 1554.930 777.465 3.300 1.650 1421.780 710.890 3017.420 1508.710 24002.950 29053170.680 14526585.340 ‐10.000 ‐145265853.400
0.500 2.000 6437.610 12875.220 2266.920 4533.840 2512.320 5024.640 2134.870 4269.740 2462.800 4925.600 4084.860 8169.720 5325.060 10650.120 46650.705 56466013.332 112932026.664 ‐9.500 ‐1072854253.308
1.000 1.000 7884.700 7884.700 2445.190 2445.190 2818.240 2818.240 2890.870 2890.870 4035.340 4035.340 5659.600 5659.600 6863.480 6863.480 62196.130 75282195.752 75282195.752 ‐9.000 ‐677539761.768
1.500 2.000 9017.060 18034.120 2700.500 5401.000 3293.640 6587.280 3805.340 7610.680 5246.930 10493.860 6816.170 13632.340 8057.470 16114.940 75887.360 91854060.544 183708121.088 ‐8.500 ‐1561519029.248
2.000 1.500 9873.210 14809.815 3077.950 4616.925 3931.900 5897.850 4731.920 7097.880 6218.620 9327.930 7725.130 11587.695 8987.350 13481.025 88243.145 106809502.708 160214254.062 ‐8.000 ‐1281714032.496
3.000 4.000 10930.730 43722.920 4010.030 16040.120 5366.880 21467.520 6692.920 26771.680 7939.720 31758.880 9195.330 36781.320 10252.860 41011.440 111221.045 134621952.868 538487811.472 ‐7.000 ‐3769414680.304
4.000 2.000 11474.350 22948.700 4994.930 9989.860 7143.000 14286.000 8767.260 17534.520 9634.410 19268.820 10395.920 20791.840 11012.170 22024.340 133375.245 161437396.548 322874793.096 ‐6.000 ‐1937248758.576
5.000 4.000 11854.010 47416.040 6374.890 25499.560 9296.570 37186.280 10335.390 41341.560 10825.090 43300.360 11211.350 44845.400 11544.780 46179.120 152003.560 183985109.024 735940436.096 ‐5.000 ‐3679702180.480
6.000 2.000 12113.710 24227.420 9214.040 18428.080 10640.220 21280.440 11320.290 22640.580 11543.680 23087.360 11748.370 23496.740 11934.340 23868.680 167741.605 203034438.692 406068877.384 ‐4.000 ‐1624275509.536
7.000 4.000 12249.070 48996.280 10881.210 43524.840 11603.110 46412.440 12016.880 48067.520 12065.290 48261.160 12134.620 48538.480 12191.850 48767.400 178220.050 215717548.520 862870194.080 ‐3.000 ‐2588610582.240
8.000 2.000 12325.000 24650.000 11478.760 22957.520 12042.190 24084.380 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182758.305 221210652.372 442421304.744 ‐2.000 ‐884842609.488
9.000 4.000 12325.000 49300.000 11477.660 45910.640 12041.080 48164.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 182754.440 221205974.176 884823896.704 ‐1.000 ‐884823896.704
10.000 2.000 12325.000 24650.000 11476.560 22953.120 12039.980 24079.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182750.590 221201314.136 442402628.272 0.000 0.000
11.000 4.000 12325.000 49300.000 11475.460 45901.840 12037.780 48151.120 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 182745.090 221194656.936 884778627.744 1.000 884778627.744
12.000 2.000 12325.000 24650.000 11474.350 22948.700 12036.680 24073.360 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182741.220 221189972.688 442379945.376 2.000 884759890.752
13.000 4.000 12325.000 49300.000 11473.250 45893.000 12035.580 48142.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 182737.370 221185312.648 884741250.592 3.000 2654223751.776
14.000 2.000 12325.000 24650.000 11471.050 22942.100 12034.480 24068.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182731.320 221177989.728 442355979.456 4.000 1769423917.824
15.000 4.000 12318.400 49273.600 11285.080 45140.320 11921.140 47684.560 12301.890 49207.560 12273.280 49093.120 12298.590 49194.360 12314.000 49256.000 181873.550 220139744.920 880558979.680 5.000 4402794898.400
16.000 2.000 12254.570 24509.140 9648.710 19297.420 10821.790 21643.580 11633.920 23267.840 11813.290 23626.580 11993.770 23987.540 12145.630 24291.260 171940.360 208116611.744 416233223.488 6.000 2497399340.928
17.000 4.000 12139.020 48556.080 6031.550 24126.200 9405.520 37622.080 10799.780 43199.120 11253.170 45012.680 11611.910 46447.640 11916.730 47666.920 156310.720 189198495.488 756793981.952 7.000 5297557873.664
18.000 1.500 11964.050 17946.075 3882.380 5823.570 7350.980 11026.470 9764.260 14646.390 10576.390 15864.585 11148.620 16722.930 11625.120 17437.680 141202.675 170911717.820 256367576.730 8.000 2050940613.840
18.500 2.000 11753.870 23507.740 3150.580 6301.160 6071.160 12142.320 9102.890 18205.780 10124.110 20248.220 10810.790 21621.580 11367.610 22735.220 132555.385 160445038.004 320890076.008 8.500 2727565646.068
19.000 1.000 11336.800 11336.800 2808.340 2808.340 5243.630 5243.630 8358.990 8358.990 9538.670 9538.670 10318.890 10318.890 10929.630 10929.630 123869.015 149931055.756 149931055.756 9.000 1349379501.804
19.500 2.000 10652.320 21304.640 1519.720 3039.440 3386.070 6772.140 6675.310 13350.620 8374.400 16748.800 9374.700 18749.400 10153.820 20307.640 104547.365 126544130.596 253088261.192 9.500 2404338481.324
20.000 0.500 9517.760 4758.880 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 6422.210 3211.105 8520.760 4260.380 38968.480 47167448.192 23583724.096 10.000 235837240.960
sum of the 
area 
products 
of water 
plane 0 690827.770
sum of the 
area 
products 
of water 
plane 0.5 467441.110
sum of the 
area 
products 
of water 
plane 1 544919.620
sum of the 
area 
products 
of water 
plane 2 595738.795
sum of the 
area 
products 
of water 
plane 3 621093.615
sum of the 
area 
products 
of water 
plane 4 650967.470
sum of the 
area 
products 
of water 
plane 5 673853.985 10894255806.824
Summation of 
moments 7051188637.536
26379532581573.700 LCB 4701.707
Summation 
of volume 
products 43588123895.528 26379532581573.700
Summation 
of 
moments  114107042568.499 4752.963
7264.250 1815.600
VCB
Distance between two consecutive sections  Distance  between two consecutive waterlines
5.000
 Monent about the 
keel 0.000 2263739388.878 3958432349.585 23080509555.087 18047117171.055 50440431402.107 16316812701.788
VOLUME
levers 0.000 0.500 1.000 2.000 3.000 4.000
Volume products 1672781876.074 4527478777.757 3958432349.585 11540254777.543 6015705723.685
2.000 4.000 1.000 VOLUME
12610107850.527 3263362540.358
SM 0.500 2.000 1.500 4.000
Different totals  Summation of volume functions
Water plane area 3345563752.148 2263739388.878 2638954899.723 2885063694.386 3007852861.843 3152526962.632 3263362540.358
moments about 
amidship
0.500 2.000 1.500 4.000 2.000 4.000 1.000 Area 
products for 
Sectional area 
below waterline Volume function  levers
Table 6. Waterplane area, Displacement, LCB VCB calculation for WL‐06
Water planes 0.000 0.500 1.000 2.000 3.000 4.000 5.000
Ship Design & Project
Page 30
LCF and BML calculation for WL 0.5   TO 5
Y y´sm (y´sm) x (y´sm) x2
y y´sm (y´sm) x (y´sm) x2
y y´sm (y´sm) x (y´sm) x2
y y´sm (y´sm) x (y´sm) x2
y y´sm (y´sm) x (y´sm) x2
Y y´sm (y´sm) x (y´sm) x2
Y y´sm (y´sm) x (y´sm) x2
0.0000 0.5000 ‐10.0000 0.0000 0.0000 0.0000 0.0000 1836.6500 918.3250 ‐9183.2500 91832.5000 2119.4600 1059.7300 ‐10597.3000 105973.0000 3.3000 1.6500 ‐16.5000 165.0000 1421.7800 710.8900 ‐7108.9000 71089.0000 3017.4200 1508.7100 ‐15087.1000 150871.0000 4439.20000 2219.60000 ‐22196.00000 221960.00000
0.5000 2.0000 ‐9.5000 967.2900 1934.5800 ‐18378.5100 174595.8450 2266.9200 4533.8400 ‐43071.4800 409179.0600 2512.3200 5024.6400 ‐47734.0800 453473.7600 2462.8000 4925.6000 ‐46793.2000 444535.4000 4084.8600 8169.7200 ‐77612.3400 737317.2300 5325.0600 10650.1200 ‐101176.1400 961173.3300 6437.61000 12875.22000 ‐122314.59000 1161988.60500
1.0000 1.0000 ‐9.0000 1202.7900 1202.7900 ‐10825.1100 97425.9900 2445.1900 2445.1900 ‐22006.7100 198060.3900 2818.2400 2818.2400 ‐25364.1600 228277.4400 4035.3400 4035.3400 ‐36318.0600 326862.5400 5659.6000 5659.6000 ‐50936.4000 458427.6000 6863.4800 6863.4800 ‐61771.3200 555941.8800 7884.70000 7884.70000 ‐70962.30000 638660.70000
1.5000 2.0000 ‐8.5000 1275.4200 2550.8400 ‐21682.1400 184298.1900 2700.5000 5401.0000 ‐45908.5000 390222.2500 3293.6400 6587.2800 ‐55991.8800 475930.9800 5246.9300 10493.8600 ‐89197.8100 758181.3850 6816.1700 13632.3400 ‐115874.8900 984936.5650 8057.4700 16114.9400 ‐136976.9900 1164304.4150 9017.06000 18034.12000 ‐153290.02000 1302965.17000
2.0000 1.5000 ‐8.0000 1492.2100 2238.3150 ‐17906.5200 143252.1600 3077.9500 4616.9250 ‐36935.4000 295483.2000 3931.9000 5897.8500 ‐47182.8000 377462.4000 6218.6200 9327.9300 ‐74623.4400 596987.5200 7725.1300 11587.6950 ‐92701.5600 741612.4800 8987.3500 13481.0250 ‐107848.2000 862785.6000 9873.21000 14809.81500 ‐118478.52000 947828.16000
3.0000 4.0000 ‐7.0000 1886.1700 7544.6800 ‐52812.7600 369689.3200 4010.0300 16040.1200 ‐112280.8400 785965.8800 5366.8800 21467.5200 ‐150272.6400 1051908.4800 7939.7200 31758.8800 ‐222312.1600 1556185.1200 9195.3300 36781.3200 ‐257469.2400 1802284.6800 10252.8600 41011.4400 ‐287080.0800 2009560.5600 10930.73000 43722.92000 ‐306060.44000 2142423.08000
4.0000 2.0000 ‐6.0000 2406.6800 4813.3600 ‐28880.1600 173280.9600 4994.9300 9989.8600 ‐59939.1600 359634.9600 7143.0000 14286.0000 ‐85716.0000 514296.0000 9634.4100 19268.8200 ‐115612.9200 693677.5200 10395.9200 20791.8400 ‐124751.0400 748506.2400 11012.1700 22024.3400 ‐132146.0400 792876.2400 11474.35000 22948.70000 ‐137692.20000 826153.20000
5.0000 4.0000 ‐5.0000 3733.8100 14935.2400 ‐74676.2000 373381.0000 6374.8900 25499.5600 ‐127497.8000 637489.0000 9296.5700 37186.2800 ‐185931.4000 929657.0000 10825.0900 43300.3600 ‐216501.8000 1082509.0000 11211.3500 44845.4000 ‐224227.0000 1121135.0000 11544.7800 46179.1200 ‐230895.6000 1154478.0000 11854.01000 47416.04000 ‐237080.20000 1185401.00000
6.0000 2.0000 ‐4.0000 6104.1800 12208.3600 ‐48833.4400 195333.7600 9214.0400 18428.0800 ‐73712.3200 294849.2800 10640.2200 21280.4400 ‐85121.7600 340487.0400 11543.6800 23087.3600 ‐92349.4400 369397.7600 11748.3700 23496.7400 ‐93986.9600 375947.8400 11934.3400 23868.6800 ‐95474.7200 381898.8800 12113.71000 24227.42000 ‐96909.68000 387638.72000
7.0000 4.0000 ‐3.0000 8445.9300 33783.7200 ‐101351.1600 304053.4800 10881.2100 43524.8400 ‐130574.5200 391723.5600 11603.1100 46412.4400 ‐139237.3200 417711.9600 12065.2900 48261.1600 ‐144783.4800 434350.4400 12134.6200 48538.4800 ‐145615.4400 436846.3200 12191.8500 48767.4000 ‐146302.2000 438906.6000 12249.07000 48996.28000 ‐146988.84000 440966.52000
8.0000 2.0000 ‐2.0000 9428.6300 18857.2600 ‐37714.5200 75429.0400 11478.7600 22957.5200 ‐45915.0400 91830.0800 12042.1900 24084.3800 ‐48168.7600 96337.5200 12325.0000 24650.0000 ‐49300.0000 98600.0000 12325.0000 24650.0000 ‐49300.0000 98600.0000 12325.0000 24650.0000 ‐49300.0000 98600.0000 12325.00000 24650.00000 ‐49300.00000 98600.00000
9.0000 4.0000 ‐1.0000 9427.5200 37710.0800 ‐37710.0800 37710.0800 11477.6600 45910.6400 ‐45910.6400 45910.6400 12041.0800 48164.3200 ‐48164.3200 48164.3200 12325.0000 49300.0000 ‐49300.0000 49300.0000 12325.0000 49300.0000 ‐49300.0000 49300.0000 12325.0000 49300.0000 ‐49300.0000 49300.0000 12325.00000 49300.00000 ‐49300.00000 49300.00000
10.0000 2.0000 0.0000 9426.4200 18852.8400 0.0000 0.0000 11476.5600 22953.1200 0.0000 0.0000 12039.9800 24079.9600 0.0000 0.0000 12325.0000 24650.0000 0.0000 0.0000 12325.0000 24650.0000 0.0000 0.0000 12325.0000 24650.0000 0.0000 0.0000 12325.00000 24650.00000 0.00000 0.00000
11.0000 4.0000 1.0000 9425.3200 37701.2800 37701.2800 37701.2800 11475.4600 45901.8400 45901.8400 45901.8400 12037.7800 48151.1200 48151.1200 48151.1200 12325.0000 49300.0000 49300.0000 49300.0000 12325.0000 49300.0000 49300.0000 49300.0000 12325.0000 49300.0000 49300.0000 49300.0000 12325.00000 49300.00000 49300.00000 49300.00000
12.0000 2.0000 2.0000 9423.1200 18846.2400 37692.4800 75384.9600 11474.3500 22948.7000 45897.4000 91794.8000 12036.6800 24073.3600 48146.7200 96293.4400 12325.0000 24650.0000 49300.0000 98600.0000 12325.0000 24650.0000 49300.0000 98600.0000 12325.0000 24650.0000 49300.0000 98600.0000 12325.00000 24650.00000 49300.00000 98600.00000
13.0000 4.0000 3.0000 9422.0200 37688.0800 113064.2400 339192.7200 11473.2500 45893.0000 137679.0000 413037.0000 12035.5800 48142.3200 144426.9600 433280.8800 12325.0000 49300.0000 147900.0000 443700.0000 12325.0000 49300.0000 147900.0000 443700.0000 12325.0000 49300.0000 147900.0000 443700.0000 12325.00000 49300.00000 147900.00000 443700.00000
14.0000 2.0000 4.0000 9420.9200 18841.8400 75367.3600 301469.4400 11471.0500 22942.1000 91768.4000 367073.6000 12034.4800 24068.9600 96275.8400 385103.3600 12325.0000 24650.0000 98600.0000 394400.0000 12325.0000 24650.0000 98600.0000 394400.0000 12325.0000 24650.0000 98600.0000 394400.0000 12325.00000 24650.00000 98600.00000 394400.00000
15.0000 4.0000 5.0000 9078.6800 36314.7200 181573.6000 907868.0000 11285.0800 45140.3200 225701.6000 1128508.0000 11921.1400 47684.5600 238422.8000 1192114.0000 12273.2800 49093.1200 245465.6000 1227328.0000 12298.5900 49194.3600 245971.8000 1229859.0000 12314.0000 49256.0000 246280.0000 1231400.0000 12318.40000 49273.60000 246368.00000 1231840.00000
16.0000 2.0000 6.0000 6083.2700 12166.5400 72999.2400 437995.4400 9648.7100 19297.4200 115784.5200 694707.1200 10821.7900 21643.5800 129861.4800 779168.8800 11813.2900 23626.5800 141759.4800 850556.8800 11993.7700 23987.5400 143925.2400 863551.4400 12145.6300 24291.2600 145747.5600 874485.3600 12254.57000 24509.14000 147054.84000 882329.04000
17.0000 4.0000 7.0000 3136.2700 12545.0800 87815.5600 614708.9200 6031.5500 24126.2000 168883.4000 1182183.8000 9405.5200 37622.0800 263354.5600 1843481.9200 11253.1700 45012.6800 315088.7600 2205621.3200 11611.9100 46447.6400 325133.4800 2275934.3600 11916.7300 47666.9200 333668.4400 2335679.0800 12139.02000 48556.08000 339892.56000 2379247.92000
18.0000 1.5000 8.0000 1941.1900 2911.7850 23294.2800 186354.2400 3882.3800 5823.5700 46588.5600 372708.4800 7350.9800 11026.4700 88211.7600 705694.0800 10576.3900 15864.5850 126916.6800 1015333.4400 11148.6200 16722.9300 133783.4400 1070267.5200 11625.1200 17437.6800 139501.4400 1116011.5200 11964.05000 17946.07500 143568.60000 1148548.80000
18.5000 2.0000 8.5000 1572.5400 3145.0800 26733.1800 227232.0300 3150.5800 6301.1600 53559.8600 455258.8100 6071.1600 12142.3200 103209.7200 877282.6200 10124.1100 20248.2200 172109.8700 1462933.8950 10810.7900 21621.5800 183783.4300 1562159.1550 11367.6100 22735.2200 193249.3700 1642619.6450 11753.87000 23507.74000 199815.79000 1698434.21500
19.0000 1.0000 9.0000 1378.8600 1378.8600 12409.7400 111687.6600 2808.3400 2808.3400 25275.0600 227475.5400 5243.6300 5243.6300 47192.6700 424734.0300 9538.6700 9538.6700 85848.0300 772632.2700 10318.8900 10318.8900 92870.0100 835830.0900 10929.6300 10929.6300 98366.6700 885300.0300 11336.80000 11336.80000 102031.20000 918280.80000
19.5000 2.0000 9.5000 0.0000 0.0000 0.0000 0.0000 1519.7200 3039.4400 28874.6800 274309.4600 3386.0700 6772.1400 64335.3300 611185.6350 8374.4000 16748.8000 159113.6000 1511579.2000 9374.7000 18749.4000 178119.3000 1692133.3500 10153.8200 20307.6400 192922.5800 1832764.5100 10652.32000 21304.64000 202394.08000 1922743.76000
20.0000 0.5000 10.0000 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 6422.2100 3211.1050 32111.0500 321110.5000 8520.7600 4260.3800 42603.8000 426038.0000 9517.76000 4758.88000 47588.80000 475888.00000
338171.5700 217880.3600 5368044.5150 467441.1100 232978.6600 9245139.2500 544919.6200 342106.5400 12436169.8650 621093.6150 454293.2100 16442736.6900 650967.4700 391913.9800 18462848.3700 673853.9850 324081.4700 19950994.6500 690827.77000 263241.08000 21047197.69000
7264.2500 7264.2500 7264.2500 7264.2500 7264.2500 7264.2500 7264.25000
1789841399620.8600 4034148516663.2300 9125563784509.7800 16627781956884.6000 20060923858085.1000 25862735597882.3000 26379532581573.70000
1637708551.5817 2263739388.8783 2638954899.7233 3007852861.8425 3152526962.6317 3263362540.3575 3345563752.14833
4680.2793 3620.5956 4560.5762 5313.3688 4373.4307 3493.6483 2768.05464
1371820206955970000.0000 2362623633956900000.0000 3178101275105360000.0000 4201991691009340000.0000 4718237414230910000.0000 5098537751179650000.0000 5378675793440010000.00000
1335946177390210000.0000 2332948924968400000.0000 3123214034803340000.0000 4117074325110890000.0000 4657939358127880000.0000 5058706524063740000.0000 5353041660758410000.00000
746404.7807 578300.2077 342248.8855 247602.1357 232189.6734 195598.2771 202924.05274
 Tons Per Inch Immersion (TPI) 3899306.075 5389855.688 6283225.952 7161554.433 7506016.578 7769910.81 7965627.98131
 Moment to change trim 1 inch 7.66305E+11 1.33819E+12 1.79149E+12 2.36157E+12 2.67182E+12 2.9017E+12 3070531422516.53000
1.0000 2.0000 3.0000 4.0000 5.0000
Distance between two sections h=
Displacement 
Sectio
SM
Lever
s 
from 
amids
ips (x)
0.5000
from previous calculation
ship's length in mm = 145280
6.00000
Water plane Area
Longitudinal Metacenter  BML
LCF from Amidship
Moment of inertia about the amidship 
Moment of inertia about the LCF
TOTALS
Section
SM
y y3 
y3
  X SM y y3 
y3  X SM y y3 
y3  X SM y y3 
y3  X SM y y3 
y3  X SM y y3
y3  X SM y y3
y3  X SM
0.00000 0.50000 0.00000 0.00000 0.00000 1836.65000 6195540630.60463 3097770315.30231 1554.93000 3759521112.60816 1879760556.30408 3.30000 35.93700 17.96850 1421.78000 2874069079.02375 1437034539.51188 3017.42000 27473076393.81050 13736538196.90520 4439.200000 87481079884.288000 43740539942.144000
0.50000 2.00000 967.29000 905044834.42849 1810089668.85698 2266.92000 11649534777.16590 23299069554.33180 2134.87000 9730032775.49230 19460065550.98460 2462.80000 14937827321.15200 29875654642.30400 4084.86000 68160305730.69530 136320611461.39100 5325.06000 150998807195.01000 301997614390.02100 6437.610000 266792728632.120000 533585457264.240000
1.00000 1.00000 1202.79000 1740080844.47764 1740080844.47764 2445.19000 14619678864.05040 14619678864.05040 2890.87000 24159374543.98150 24159374543.98150 4035.34000 65711351123.87730 65711351123.87730 5659.60000 181283055996.73600 181283055996.73600 6863.48000 323320407498.17600 323320407498.17600 7884.700000 490179925351.423000 490179925351.423000
1.50000 2.00000 1275.42000 2074720837.30409 4149441674.60818 2700.50000 19693937025.12500 39387874050.25000 3805.34000 55103654030.11330 110207308060.22700 5246.93000 144449422788.24100 288898845576.48100 6816.17000 316680440593.51200 633360881187.02400 8057.47000 523113697033.56800 1046227394067.14000 9017.060000 733153443142.404000 1466306886284.810000
2.00000 1.50000 1492.21000 3322690105.72086 4984035158.58129 3077.95000 29159809462.48490 43739714193.72730 4731.92000 105952737221.09400 158929105831.64100 6218.62000 240481713557.47600 360722570336.21400 7725.13000 461017477010.41000 691526215515.61500 8987.35000 725930368583.21500 1088895552874.82000 9873.210000 962443232884.477000 1443664849326.720000
3.00000 4.00000 1886.17000 6710308687.48111 26841234749.92450 4010.03000 64482648219.82700 257930592879.30800 6692.92000 299810543585.74500 1199242174342.98000 7939.72000 500513229243.46600 2002052916973.86000 9195.33000 777502795423.79200 3110011181695.17000 10252.86000 1077792312796.09000 4311169251184.38000 10930.730000 1306013002605.180000 5224052010420.720000
4.00000 2.00000 2406.68000 13939751979.35760 27879503958.71530 4994.93000 124620135443.17600 249240270886.35200 8767.26000 673894106466.38500 1347788212932.77000 9634.41000 894283818128.37500 1788567636256.75000 10395.92000 1123540640899.76000 2247081281799.53000 11012.17000 1335422599396.19000 2670845198792.37000 11474.350000 1510721043950.540000 3021442087901.080000
5.00000 4.00000 3733.81000 52054303937.46530 208217215749.86100 6374.89000 259070573200.16100 1036282292800.64000 10335.39000 1104029320394.17000 4416117281576.68000 10825.09000 1268511904656.80000 5074047618627.19000 11211.35000 1409203561898.14000 5636814247592.54000 11544.78000 1538710735864.82000 6154842943459.29000 11854.010000 1665696479387.040000 6662785917548.140000
6.00000 2.00000 6104.18000 227447933217.95500 454895866435.90900 9214.04000 782258480123.74700 1564516960247.49000 11320.29000 1450683454744.06000 2901366909488.12000 11543.68000 1538270947351.72000 3076541894703.45000 11748.37000 1621559343026.39000 3243118686052.79000 11934.34000 1699789801405.87000 3399579602811.74000 12113.710000 1777589668973.820000 3555179337947.630000
7.00000 4.00000 8445.93000 602479720327.79600 2409918881311.18000 10881.21000 1288343218862.00000 5153372875447.98000 12016.88000 1735302422448.09000 6941209689792.37000 12065.29000 1756359018544.77000 7025436074179.10000 12134.62000 1786810691255.33000 7147242765021.31000 12191.85000 1812211292522.16000 7248845170088.63000 12249.070000 1837846982409.270000 7351387929637.080000
8.00000 2.00000 9428.63000 838196378755.92900 1676392757511.86000 11478.76000 1512463584665.04000 3024927169330.07000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.000000 1872236828125.000000 3744473656250.000000
9.00000 4.00000 9427.52000 837900379723.56300 3351601518894.25000 11477.66000 1512028811958.85000 6048115247835.40000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.000000 1872236828125.000000 7488947312500.000000
10.00000 2.00000 9426.42000 837607116104.07300 1675214232208.15000 11476.56000 1511594122580.48000 3023188245160.95000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.000000 1872236828125.000000 3744473656250.000000
11.00000 4.00000 9425.32000 837313920920.39300 3349255683681.57000 11475.46000 1511159516521.93000 6044638066087.71000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.000000 1872236828125.000000 7488947312500.000000
12.00000 2.00000 9423.12000 836727735828.51600 1673455471657.03000 11474.35000 1510721043950.54000 3021442087901.08000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.000000 1872236828125.000000 3744473656250.000000
13.00000 4.00000 9422.02000 836434745904.34600 3345738983617.39000 11473.25000 1510286605264.95000 6041146421059.81000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.000000 1872236828125.000000 7488947312500.000000
14.00000 2.00000 9420.92000 836141824384.04300 1672283648768.09000 11471.05000 1509417977773.18000 3018835955546.36000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.000000 1872236828125.000000 3744473656250.000000
15.00000 4.00000 9078.68000 748286871716.67600 2993147486866.70000 11285.08000 1437189138635.67000 5748756554542.69000 12301.89000 1861724946117.24000 7446899784468.96000 12273.28000 1848765919587.99000 7395063678351.97000 12298.59000 1860227116658.09000 7440908466632.35000 12314.00000 1867228415144.00000 7468913660576.00000 12318.400000 1869230707093.500000 7476922828374.020000
16.00000 2.00000 6083.27000 225118547457.46200 450237094914.92400 9648.71000 898271789098.54800 1796543578197.10000 11633.92000 1574628904337.93000 3149257808675.86000 11813.29000 1648589753640.47000 3297179507280.95000 11993.77000 1725310037022.60000 3450620074045.19000 12145.63000 1791678740023.55000 3583357480047.10000 12254.570000 1840323749490.520000 3680647498981.040000
17.00000 4.00000 3136.27000 30848946083.62290 123395784334.49200 6031.55000 219425348649.94900 877701394599.79600 10799.78000 1259635019168.15000 5038540076672.60000 11253.17000 1425032073557.23000 5700128294228.92000 11611.91000 1565708766803.29000 6262835067213.16000 11916.73000 1692276402759.14000 6769105611036.55000 12139.020000 1788755082952.830000 7155020331811.310000
18.00000 1.50000 1941.19000 7314828295.38716 10972242443.08070 3882.38000 58518626363.09730 87777939544.64590 9764.26000 930932099567.03700 1396398149350.56000 10576.39000 1183075254379.81000 1774612881569.71000 11148.62000 1385681243549.55000 2078521865324.33000 11625.12000 1571058416752.20000 2356587625128.30000 11964.050000 1712516080028.130000 2568774120042.190000
18.50000 2.00000 1572.54000 3888705941.42306 7777411882.84613 3150.58000 31273143329.17510 62546286658.35020 9102.89000 754289190736.46700 1508578381472.93000 10124.11000 1037697010465.58000 2075394020931.17000 10810.79000 1263491410197.06000 2526982820394.11000 11367.61000 1468951632453.08000 2937903264906.16000 11753.870000 1623837808618.690000 3247675617237.370000
19.00000 1.00000 1378.86000 2621564330.86246 2621564330.86246 2808.34000 22148741647.13370 22148741647.13370 8358.99000 584065316095.07800 584065316095.07800 9538.67000 867887578339.56500 867887578339.56500 10318.89000 1098750153152.45000 1098750153152.45000 10929.63000 1305618755449.90000 1305618755449.90000 11336.800000 1457039934572.030000 1457039934572.030000
19.50000 2.00000 0.00000 0.00000 0.00000 1519.72000 3509867621.48205 7019735242.96410 6675.31000 297450235530.68200 594900471061.36500 8374.40000 587301490294.78400 1174602980589.57000 9374.70000 823895510343.72300 1647791020687.45000 10153.82000 1046859457244.32000 2093718914488.65000 10652.320000 1208739217580.170000 2417478435160.330000
20.00000 0.50000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 6422.21000 264882646810.56000 132441323405.28000 8520.76000 618635728875.89500 309317864437.94800 9517.760000 862192515003.417000 431096257501.708000
23472530230663.40000 47210274522593.50000 74283736432973.40000 79441460066229.10000 85111783314215.90000 90828719411934.10000 95671716527804.000000
7264.25000 7264.25000 7264.25000 7264.25000 7264.25000 7264.25000 7264.250000
1789841399620.86000 4034148516663.23000 9125563784509.78000 16627781956884.60000 20060923858085.10000 25862735597882.30000 26379532581573.700000
37891183939577000.00000 76210497044611100.00000 119914584974050000.00000 128240583619134000.00000 137394060431176000.00000 146622783330698000.00000 154440725952689000.000000
21170.13493 18891.34640 13140.51250 7712.42875 6848.84013 5669.26816 5854.566432
BMT Calculation 
5.00000
Water lines above base line Water lines above base line Water lines above base line Water lines above base line Water lines above base line Water lines above base line
0.50000 1.00000 2.00000 3.00000 4.00000
Summation of y3 x SM
Distance between two stations  H H H H H
displacement of ship For waterplane 0.5 For waterplane 01 For waterplane 2 for waterplane 3 For waterplane 4 For waterplane 5
H
I
BMT
I
Transverse metacentric height  BMT BMT BMT BMT BMT BMT
Moment of inertia I III I
Water lines above base line
6.000000
H
For waterplane 5
Ship Design & Project
Page 31
Hydrostatic Curves
Fig 4.1 : Hydrostatic curves
Ship Design & Project
Page 32
Chapter 5
Scantling Calculation
Ship Design & Project
Page 33
Chapter 5
Scantling Calculation
Table 5.1: Framing System
Ship Design & Project
Page 34
5.1 Type of Framing System [3]
5.1.1 Strength/weather Deck Plating
The greater of the following:
(1) t = 0,00083s1 (Lk)0.5
+ 2,5= 0.00083 ×700(132×0.78)0.5
+2.5=8.25
(2) t = 0,00083s1 (Lk)0.5
+ 2,5=0.00083 ×700(132×0.75)0.5
+2.5=8.25
(3) t = taken as (1)
Table 5.2 Strength/weather Deck Plating
Ship Design & Project
Page 35
LLOYD’S REGISTER
Location
Minimum thickness, in mm, see also 4.2.1
Longitudinal framing Transverse framing
(1) Outside line of openings
(see Notes 1 and 2)
The greater of the following:
(a) t = 0,001s1 (0,059L1 + 7)
FD
kL
(b) t = 0,00083s1 Lk + 2,5
Lk + 2,5t = 0,00083s1
but not less than 6,5
t = 0,004sf
ρkh4 + 3,5
1,025
or as (1) or (2), whichever is the greater,
but not less than 7,5 mm where L ≥ 90 m, or
6,5 mm where L < 90 m
t = 0,00083s1 Lk + 1,5
but not less than 6,5
The greater of the following:
(a) t = 0,001s1 f1 (0,083L1 + 10)
FD
kL
(b) t = 0,001s1 Lk + 2,5
(2) Inside line of openings (see Note 2)
(3) In way of the crown of a tank
Symbols
f = 1,1 –
L, kL, k, ρ, s, S as defined in 1.5.1
s
but not to be taken greater than 1,0
2500S
f1 =
1
1 +( s
)2
1000S
h4 = tank head, in metres, as defined in Pt 3, Ch 3,5
s1 = s but is not to be taken less than the smaller of
470 +
L
mm or 700 mm
0,6
FD = as defined in Pt 3, Ch 4,5.7
L1 = L but need not be taken greater than 190 m
5.1.2 Lower Deck Plating
(1) T1= 0.012s1√𝑘𝑘
(2) T2= 0.01s1√𝑘𝑘
= 0.012×700×√0.78=7.5 mm =6.2 mm
(3) t = 0,004sf √(
þkh4
1.025 1.025
) + 3.5 = 0.004×700√
1.025×0.22×22.3 + 3.5 = 15.6
(4) t = 0,004sf √(
pkh4
1.025
) + 2.5 = 14.6
(5)
t= √ 1.8𝑘𝑘 =(66.3/(1.8×0.78))0.5
= 6.87
Table 5.3 Lower Deck Plating
Ship Design & Project
Page 36
t = 0,004sf
ρkh4
+ K11,025
but not less than 7,5 where L ≥ 90 m, or
6,5 where L < 90 m
t = 0,01s1 k
but not less than 6,5
Minimum thickness, in mm
In way of deck openings, t = 1,1
1,8k
Minimum breadth, b = 760 mm
Second deck
t = 0,012s1 k
but not less than 6,5
Clear of deck openings, t =
t = 0,01s1 k
but not less than 6,5
Third or platform decks
LocationSymbols
(1) Outside line of openings
(2) Inside line of openings
(3) In way of the crown or bottom
of a tank
(4) Plating forming the upper flange
of underdeck girders
s, S, k, ρ as defined in 1.5.1
b = breadth of increased plating, in mm
f = 1,1 –
s
but not to be taken
2500S
greater than 1,0
h4 = tank head, in metres, as defined in
Pt 3, Ch 3,5
s1 = s but is not to be taken less than
the smaller of 470 +
L
mm
0,6
or 700 mm
Af = girder face area, in cm2
K1= 2,5 mm at bottom of tank
= 3,5 mm at crown of tank
NOTE
Where a deck loading exceeds 43,2 kN/m2 (4,4 tonne-f/m2), the thickness of plating will be specially considered.
Af
1,8k
Af
5.1.3 Strength/Weather Deck Longitudinals
Z = 0. 043skhT1le2F1= 0.043 × 700 × 0.78 × 1.88 × 0.148 × (3.35)2
C1=
60
225−165×0.67
= 73.31 cm3
5.1.4 Cargo and Accommodation Deck Longitudinals
Z = sk(5.9L1+25h2le
2
)×10-4
= 700× 0.78 (5.9×132 + 25×1.39(3.75)2
)×10-4
= 64.33
Table 5.4: Strength/Weather Deck Longitudinals
Table 5.5: Cargo and Accommodation Deck Longitudinals
Page 37
Symbols Location
Inertia,
in cm4Modulus, in cm3
L, s, kL, k, ρ as defined in 1.5.1
b =1,4 for rolled or built
sections
= 1,6 for flat bars
c1 =
dw = depth of longitudinal, in mm
F1 = 0,25c1
h1 = weather head, in metres, as
defined in Pt 3, Ch 3,5
h4 = tank head, in metres, as
defined in Pt 3, Ch 3,5
le = as defined in 1.5.1, but not
to be taken less than 1,5 m
FD = as defined in Pt 3, Ch 4,5.7
hT1 = for Type ‘B–60’ ships
or 1,20 m= the greater of
70
for Type ‘B’ ships
L1 = L but need not be taken
greater than 190 m
L2 = L but need not be taken
greater than 215 m
L1
L1
56
60
225 – 165 FD
(1) In way of dry cargo spaces,
see Note 1
(a) Outside line of openings
(b) Inside line of openings
(2) In way of the crown or bottom
of a tank
(3) In way of superstructure To be specially considered
Z = 0,043 s k hT1 le
2 F1
Z = s k (400h1 + 0,005 (le L2)2) x 10–4
Z =
or as (1)(a) or (1)(b) above,
whichever is the greater
0,0113 ρ sk h4 le
2
b
––
––
––
NOTES
1. Where weather decks are intended to carry deck cargo and the load is in excess of 8,5 kN/m2
(0,865 tonne-f/m2), the scantlings of longitudinals may be required to be increased to comply
with the requirements for location (1) Table 1.4.4 using the equivalent design head, for specified
cargo loading, for weather decks given in Table 3.5.1 in Pt 3, Ch 3.
2. The buckling requirements of Pt 3, Ch 4,7 are to be complied with. The ratio of the web depth dw
to web thickness t is to comply with the following requirements:
(a)
≤ 60 kL
(b)
≤ 18 kL when continuous at bulkheads
≤ 15 kL when non-continuous at bulkheads
3. The web depth of longitudinals, dw is to be not less than 60 mm.
dw
t
Flat bars:
dw
t
Built up profiles and rolled angles:
dw
t
I = le Z
2,3
k
Symbols Location
Inertia,
in cm4Modulus, in cm3
L, s, k, ρ as defined in 1.5.1
dw = web depth of longitudinal,
in mm, see Note 2
h2 = cargo head, in metres, as
defined in Pt 3, Ch 3,5
h3 = accommodation head, in
metres, as defined in Pt 3,
Ch 3,5
h4 = tank head, in metres, as
defined in Pt 3, Ch 3,5
le = as defined in 1.5.1, but not
to be taken less than 1,5 m
L1 = L but need not be taken
greater than 190 m
γ = 1,4 for rolled or built
sections
= 1,6 for flat bars
(1) Cargo decks
(a) L ≥ 90 m
(b) L < 90 m
(2) Accommodation decks
(a) L ≥ 90 m
(b) L < 90 m
(3) In way of the crown or bottom of
a tank
As in (1) or (2) as applicable, or
Z =
0,0113ρ s k h4 le
2
γ
whichever is the greater
Z = sk (5,9L1 + 25h2 le
2) x 10–4
Z = 0,005s k h2 le
2
Z = sk (5,1L1 + 25h3 le
2) x 10–4
Z = 0,00425s k h3 le
2
See Note 1
––
––
––
––
I =
2,3
leZ
k
NOTES
1. The section modulus of accommodation deck longitudinals
need not be taken greater than the value required by location
(1)(a), in Table 1.4.3.
2. The web depth of longitudinals, dw, to be not less than 60 mm.
Z = sk(5.1L1+25h3le
2
)×10-4
=700× 0.78 (5.1×132 + 25×1.39(3.75)2
)×10-4
=51.56
5.1.5 Strength/Weather,Cargo and Accommodation Deck Beam
Ship Design & Project
Page 38
Z = (k1k2TD+K3B1sh1le
2
)k × 10-4
=(20×133×8.25×11.3+3.6×22.3×1.8×(3.75)2
)×0.78×10-4
=19.5 cm3
Z =
(400k1TD+38.8h2le
2
)k × 10-4
= (400×20×8.25×11.3+38.3×1.8×(3.75)2
)×0.78×10-4
=58.24 cm3
Table 5.6: Strength/Weather,Cargo and Accommodation Deck Beam
Symbols Location
Inertia,
in cm4Modulus, in cm3
B, D, T, s, k, ρ as defined in 1.5.1
dw = depth of beam, in mm
h1 = weather deck head
h2 = cargo head
h3 = accommodation head
h4 = tank head
le as defined in 1.5.1, but to be taken as
not less than 1,83 m
B1 = B, but need not be taken greater
than 21,5 m
K1 = a factor dependent on the number
of decks (including poop and bridge
superstructures) at the position of
the beam under consideration:
1 deck 20,0 3 decks 10,5
2 decks 13,3 4 or more 9,3
K2 = a factor dependent on the location
133
of the beam:
at short bridge and poops
elsewhere 530
K3 = a factor dependent on the location
of the beam:
span adjacent to the ship side 3,6
elsewhere 3,3
γ = 1,4 for rolled or built sections
= 1,6 for flat bars
(1) Strength/weather
decks
(2) Cargo decks
(3) Accommodation
decks
(4) In way of the crown
or bottom of a tank
As (1), (2) or (3) as applicable, or
Z =
0,0113ρ s k h4 le
2
γ
whichever is the greater
The lesser of the following:
(a) Z = (K1 K2 T D + K3 B1 s h1 le
2) k x 10–4
(b) Z = 2K3 B1 s k h1 le
2 x 10–4
Z = (400K1 T D + 38,8s h2 le
2) k x 10–4
Z = (530K1 T D + 38,8s h3 le
2) k x 10–4
––
––
––
I =
2,3
leZ
k
NOTES
1. Where weather decks are intended to carry deck cargo and the load is in excess of
8,5 kN/m2 (0,865 tonne-f/m2), the scantlings of beams may be required to be increased
to comply with the requirements for location (2) using the equivalent design head, for
specified cargo loading, for weather decks given in Table 3.5.1 in Pt 3, Ch 3.
2. The web depth of beams, dw, is to be not less than 60 mm.
in metres,
see Pt 3,
Ch 3,5}
Ship Design & Project
Page 39
Table 5.1.6 Deck girders, transverses and hatch beams
Location and arrangements Modulus, in cm3 Inertia, in cm4
(1) Girders and transverses in way of dry cargo spaces and
clear of hatch openings:
(a) supporting up to three point loads
(b) supporting four or more point loads or a uniformly
distributed load
(2) Hatch side girders in way of dry cargo spaces at
weather decks (with deep coamings):
(a) supporting up to three point loads
(b) supporting four or more point loads or a uniformly
distributed load
(3) Hatch side girders in way of dry cargo spaces at lower
decks (without deep coamings):
(a) supporting up to three point loads
(b) supporting four or more point loads or a uniformly
distributed load
(4) Hatch end beams in way of dry cargo spaces and
supported at centreline, see Fig. 1.4.1:
(a)
(b)
(c)
(d)
In association with longitudinal framing when there
is no transverse between the hatch end beam and
adjacent transverse bulkhead or equivalent
supporting structure
In association with longitudinal framing where there
is one or more transverse between the hatch end
beam and adjacent transverse bulkhead or equiva-
lent supporting structure
In association with transverse framing when the
hatch end beam supports the hatch side girder and
in line girder only
In association with transverse framing when the
hatch end beam supports the hatch side girder, an
in line girder and an additional girder between the
hatch side and the centreline
(5) Girders and transverses in way of the crown or bottom
of a tank
See also Note
Z to be determined from calculations using Note
and stress
123,5
N/mm2
(12,6
kgf/mm2
)and
kk
assuming fixed ends
Z = 4,75k S Hg le
2
Z to be determined from calculations using Note
and stress
100,4
N/mm2
(10,25
kgf/mm2
)and
kk
assuming fixed ends
Z = 5,85k S1 Hg le
2
Z to be determined from calculations using stress
112,5
N/mm2
(11,5
kgf/mm2
)kk
Z = 5,20k S1 Hg le
2
Z = 19k K1 Hg le S1 l1 + 2,37k SeHg le
2
Z = 19k K1 Hg le (S1 l1 + S2 l2)
Z = 19k K1 Hg le (S1 l1 + S3 l3)
Z = 19k Hg le (K1 (S1 l1 + S4 l4) + K2 S5 l5)
Z = 11,7ρ k h4 S le
2
Symbols
S, le, k, ρ as defined in 1.5.1
h4 = tank head, in metres, as defined in Pt 3, Ch 3,5
l1, l2, l3, l4, l5, in metres, as indicated in Fig. 1.4.1
Bh = breadth of hatchway, in metres, as used to determine K1
Hg = weather head h1, or cargo head h2, or accommodation
head h3, in metres, as defined in Pt 3, Ch 3,5,
whichever is applicable
K1, K2 = factors, dependent on the girder arrangements, as
follows:
Bh
or
X
K1 or K22le le
0,2 0,143
0,3 0,177
0,4 0,191
0,5 0,187
0,6 0,179
0,7 0,169
0,8 0,141
0,9 0,085
1,0 0,000
Se,S1,S2,S3,S4,S5, in metres as indicated in Fig. 1.4.1
X = distance, in metres, from centreline of ship to an
additional girder, if fitted, as shown in Fig. 1.4.1, as used
to determine K2
I =
1,85
leZ
k
I =
1,85
leZ
k
I =
2,8
leZ
k
I =
2,8
leZ
k
I =
2,3
leZ
k
z= 19k1Hgles1l1 + 2.37kseHgle
2
= 15893.2 cm3
Hg=h1 =1.8
Le = 3.75
Bh =0.65B =14.49
𝐵𝐵ℎ
2𝑙𝑙𝑙𝑙
= 1.8 > 1
K1 =0
Ship Design & Project
Page 40
z= 5.8 ×ks1Hg le
2
= 40079 cm3
5.1.6 Bar and Plate Keels
A = 1.8 L -16 cm2
= (1.8× 132 -16) cm2
= 221.6 cm2
T = 0.6L + 8 mm= 87 mm
B = 70B = 70 × 22.3 mm = 1561 mm
T = t1 +2 = 87+ 2 =89 mm
Table 5.7: Bar and Plate Keels
Ship Design & Project
Page 41
Item and parameter Requirement
(1) Bar keels:
Cross-sectional
area
Thickness
(2) Plate keels:
Breadth
Thickness
A = (1,8L – 16) cm2
t = (0,6L + 8) mm
b = 70B mm
but need not exceed 1800 mm
and is not to be less than
750 mm
t = (t1 + 2) mm
where t1 is as in location (1) in
Table 1.5.2, using the spacing
in way of the keel plate t is to
be taken not less than the
adjacent bottom shell
thickness
Symbols
L, B as defined in 1.5.1
b = breadth of keel, in mm
t = thickness of keel, in mm
A = cross-sectional area, in cm2
5.1.7 Bottom Shell and Bilge Plating
= 9.51
HT2 = 1.2T =9.9 Fb = 0.67
Table 5.8 Bottom Shell and Bilge Plating
Ship Design & Project
Page 42
The greater of the following:
(a) t = 0,001s1f1 (0,056L1 + 16,7)
(see Note 4)
(b) t = 0,0063s1
hT2k
1,8 – FB
t as for (1)
FB
kL
Provided that transverses or adequate bilge brackets are spaced not more than
8t2 t
x 106 mm apart
DRB
t =
RBFB
RB
but is to be not less than the adjacent bottom plating
165kL
Minimum thickness, in mm, see also 5.3.1
Longitudinal framing Transverse framing
The greater of the following:
(a) t = 0,001s1 (0,043L1 + 10) (see Note 4)
(b) t = 0,0052s1
hT2k
1,8 – FB
t as for (1)
FB
kL
Location
Symbols
L, D, T, s, S, kL, k as defined in 1.5.1
Cw is as defined in 1.5.1. Where L > 227 m, Cw is not to be
taken less than 6,446 m
f1 =
hT2 = (T + 0,5 Cw), in metres but need not be taken greater
than 1,2T m
s1 = s, but is not to be taken less than the smaller of
+
0,6
470470 +
FB = as defined in Pt 3, Ch 4,5.7
L1 = L but need not be taken greater than 190 m
RB = bilge radius, in mm, see Note 3
L
1
1 +
s 2
(1000S)
NOTES
1. The thickness derived in accordance with (1) is also to satisfy the buckling requirements of Pt 3, Ch 4,7.
2. The thickness of bottom shell or bilge plating is to be not less than the basic shell end thickness for taper as given in Pt 3, Ch 5,3 and
Ch 6,3.
3. Where longitudinally framed and the lowest side longitudinal lies a distance a mm above the uppermost turn of bilge and/or the outer-
most bottom longitudinal lies a distance b inboard of the lower turn of bilge, the bilge radius is to be taken as RB + mm.
In no case is a or b to be greater than s.
4. Where separate maximum sagging and hogging still water bending moments are assigned, FB may be based on the hogging moment.
(a + b)
2
(1) Bottom plating,
see Notes 1 and 2
(3) Bilge plating – where
unframed, see Note 3
(2) Bilge plating – where
framed, see Notes 1 and 2
(b) t = 0,0052s1
hT2k
1,8 – FB
5.1.8 Side shell Plating
Table 5.9: Side shell Plating
Ship Design & Project
Page 43
Thickness, in mm, see also 5.4.1
Transverse framingLongitudinal framing
Location
The greater of the following:
(i) t = 0,001s1 (0,059L1 + 7)
(ii) t = 0,00083s1 Lk + 2,5
but t is to be not less than the thickness of the
adjacent side plating
FD
kL
The greater of the following:
(i) t = 0,001s1 f1 (0,083L1 + 10)
(ii) t = 0,001s1 Lk + 2,5
but t is to be not less than the thickness of the
adjacent side plating
FD
kL
(c) Within from base (excluding bilge plating),
see Note 3:
The greater of the following:
(i) t = 0,00085s1 f1 (0,083L1 + 10)
(ii) t = 0,0056s1
hT2 k
1,8 – FB
FB
kL
D
4
from base:(c) Between upper turn of bilge and
The greater of the following:
(i) t from (b)(i)
(ii) t from interpolation between (a)(ii) and
(b)(ii)
D
2
(1) Side shell clear of sheerstrake,
see Notes 1, 2, 4 and 5
(2) Sheerstrake,
see Notes 1, 2 and 5
Symbols
L, D, T, S, s, kL, k, as defined in 1.5.1
Cw is as defined in 1.5.1. Where L > 227 m, Cw is not to be taken
less than 6,446 m
f1 =
hT1 = T + Cw m but need not be taken greater than 1,36T
hT2 = T + 0,5Cw m but need not be taken greater than 1,2T
s1 = s, but is not to be taken less than the smaller of
470 +470 + mm or 7
FD, FB = as defined in Pt 3, Ch 4,5.7
FM = the greater of FD or FB
L1 = L, but need not be taken greater than 190 m
L
0,6
1
1 +
s 2
(1000S)
NOTES
1. The thickness is also to satisfy the buckling requirements of Pt 3,
Ch 4,5.6.
2. The thickness of side shell or sheerstrake is to be not less than
the basic shell end thickness for taper, as given in Pt 3, Ch 5,3
and Ch 6,3. The width of the sheerstrake (where of different
thickness from the side shell) is to be not less than that required
by Table 2.2.1 in Pt 3, Ch 2.
3.
4.
The thickness of side shell need not exceed that determined from
Table 1.5.2 for bottom shell, but using the spacing of side frames
or longitudinals.
Outside the Rule minimum region of higher tensile steel as
defined in Pt 3, Ch 3,2.6.1 the value of kL may be taken as 1,0.
5. For the expressions contained in (i), where separate maximum
sagging and hogging still water bending moments are assigned,
FD may be based on the sagging moment and FB on the hogging
moment.
(a) Above
2
from base:
The greater of the following:
(i) t = 0,001s1 (0,059L1 + 7)
(ii) t = 0,0042s1 hT1 k
D
FD
kL
(a) Within from the gunwale:
The greater of the following:
(i) t = 0,00085s1 f1 (0,083L1 + 10)
(ii) t = 0,0042s1 hT1 k
D
4
FD
kL
(b) At upper turn of bilge, see Note 3:
The greater of the following:
(i) t = 0,001s1 (0,059L1 + 7)
(ii) t = 0,0054s1
hT2 k
2 – FB
FB
kL
(b) Withinhi om mid-depth:
The greater of the following:
(i) t = 0,001s1 (0,059L1 + 7)
(ii) t = 0,0051s1 hT1 k
D
t
4
FM
kL
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition
Design of a 20,000 t double acting ice class general cargo ship   of service speed 17.0 knots in open water and 5.0 knots in severe ice condition

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Design of a 20,000 t double acting ice class general cargo ship of service speed 17.0 knots in open water and 5.0 knots in severe ice condition

  • 1. PROJECT REPORT DESIGN OF A 20,000 t DOUBLE ACTING ICE CLASS GENERAL CARGO SHIP OF SERVICE SPEED 17.0 KNOTS IN OPEN WATER AND 5.0 KNOTS IN SEVERE ICE CONDITION Project submitted in partial fulfillment of the Requirements for the Award of The Degree of Bachelor of Science in Naval Architecture & Marine Engineering DEPARTMENT OF NAVAL ARCHITECTURE AND MARINE ENGINEERING BANGLADESH UNIVERSITY OF ENGINEERING & TECHNOLOGY APRIL 2017
  • 2. Certified that this is the bonafide record of the projrct submitted in partial fulfillment of the requirements for the award of the degree of Bachelor of Science in Naval Architecture & Marine Engineeering DEPARTMENT OF NAVAL ARCHITECTURE AND MARINE ENGINEERING BANGLADESH UNIVERSITY OF ENGINEERING & TECHNOLOGY Project Submitted by Project Accepted by Dr. Md. Shahjada Tarafder Professor, Department of Naval Architecture and Marine Engineering (NAME) BANGLADESH UNIVERSITY OF ENGINEERING & TECHNOLOGY Md . Ashifur Rahaman (1312029) Md . Abdur Rahim(1312036) Md . Maruf Billah (1312006)
  • 3. AIM OF THE PROJECT Aim of this project is to prepare a preliminary design of a Double Acting Ice Class general cargo ship to meet the owner’s requirements given in the assignment sheet: ASSIGNMENT SHEET DEPARTMENT OF NAVAL ARCHITECTURE AND MARINE ENGINEERING BANGLADESH UNIVERSITY OF ENGINEERING & TECHNOLOGY Ship Design Project work Assignment sheet : : Ship Type Deadweight Service speed (open water) Service speed (1.0 m thick Ice) : Double Acting General Cargo Ship (Ice Class1AS) 20,000 t 17.0 Knots 5.0 Knots Signature of Project guide :
  • 4. Contents 1    Introduction 1 2    Fixing of main dimensions 4   2.1  Owner’s Requirements 5   2.2  Basis Ship Data 6   2.3  Principal Particulars of New Ship 6      2.3.1  Preliminary Power Calculation 6      2.3.2  Dead Weight of New Ship 7      2.3.3  Draft Calculation 10      2.3.4  Breadth Calculation 10      2.3.5  Length Calculation 11      2.3.6  Depth Calculation 11      2.3.7  Summary of Principal particulars of New Ship 11      2.3.8  Free Board Calculation 12      2.3.9  Sheer Calculation 12      2.3.10  Minimum Bow Height 12      2.3.11  Wheel House Height 13      2.3.12  Length of Poop Deck 13      2.3.13  Dimension of Bulbusbow 14      2.3.14  Navigation in Ice 16      2.3.15  Length of Cargo Hold 16 2.4  Typical GA  18      3 Lines Plan & Offset Table 19 3.1 Profile  20 3.2  Half Breadth Plan 20 3.3  Body Plan 20 3.4  Offset Table  21      4  Hydrostatic Calculations 23 4.1  Hydrostatic Detailed Calculations 24 4.2  Hydrostatic Curves 32 i
  • 5. 5 Scantling Calculations 33 5.1 Type of Framing System 34 5.1.1 Strength/Weather Deck Plating 35 5.1.2 Lower Deck Plating 36 5.1.3 Strength/Weather Deck Longitudinal 37 5.1.4 Cargo and Accommodation Deck Longitudinal 37 5.1.5 Strength/Weather Cargo and Accommodation Deck Bea 38 5.1.6 Bar and Plate Keels 41 5.1.7 Bottom Shell and Bilge Plating 42 5.1.8 Side Shell Plating 43 5.1.9 Shell Framing (Longitudinal) 44 5.1.10 Single Bottom Girders and Floors 47 5.1.11 Summary of Scantling 48 5.1.12 Equipment Number 49 5.2 Midship Section 52 5.3 Profile,Deck & Bottom constructions 53 5.4 Shell Expansion 54 6 Weight Calculation 56 6.1 Deadweight Calculation 59 6.2 Lightweight Calculation 59 6.2.1 Detail Steel Weight Calculation 59 6.2.2 Detail Outfit Calculation 60 6.2.3 Detail Machinery Weight Calculation 61 6.2.4 Total Light Weight 61 6.3 Summary 61 7 Capacity Calculation 62 7.1 Capacity Calculation 63 7.2 Summary 63 8 Stability Calculation 64 8.1 GZ Calculation 65 8.2 GZ Curves 78 9 Trim Calculation 80 10 Crane Selection 83 11 Resistance and Power Calculation 85 11.1 Total Resistance 87 11.2 Shaft Power 88 11.3 Break Horse Power 88 11.4 Summary of power calculation 88 ii
  • 6. 12 Engine and Gear Box Selection 89 12.1 Engine Selection 90 12.2 Gear Box Selection 92 13 Engine Foundation 93 13.1 Floor Plate Thickness 94 13.2 Inner Bottom Plating 95 13.3 Longitudinal Girder Thickness 95 13.4 Foundation Bolt Diameter 95 13.5 Engine Seating 95 13.6 Web Frame 95 13.7 Summary of Scantling 96 14 Propeller Design 97 15 Rudder Calculation 103 15.1 Rudder Area 104 15.2 Rudder Force and Torque 106 15.3 Rudder Stock 108 15.4 Rudder Coupling 108 15.5 Rudder Frames 109 15.6 Rudder Plates and Web 110 15.7 Pintle 110 15.8 Bearing 111 15.9 Rudder Design 112 16 Shaft Arrangement Calculation 113 16.1 Calculation of Shaft Diameter 114 16.1.1 Theoretical Formula 114 16.1.2 Using Imperical Formula 115 16.2 Angle of Twist 116 16.3 Minimum Liner Thickness 116 16.4 Coupling 117 16.5 Shaft Bearing 117 16.6 Shaft Details 118 16.7 Shaft Arrangement drawing 119 17 Steering Arrangement 120 References 122 iii
  • 7. 2 13 14 16 18 20 20 20 32 52 53 54 78 78 82 82 102 109 112 LIST OF ILLUSTRATIONS Fig 1.1 Ship design spiral Fig 2.1 Distance between Wheel house & top of stem Fig 2.2 Dimension for bulbusbow Fig 2.3 Navigation in ice Fig 2.4 Typical GA Fig 3.1 Profile View Fig 3.2 Hal Breath Plan Fig 3.3 Body plan Fig 4.1 Hydrostatic Curves Fig 5.1 Midship Scantling Fig 5.2 Longitudinal Scantling Fig 5.3 Shell Expansion Fig 8.1 GZ curve ( Full Load Condition) Fig 8.2 GZ curve ( No Load Condition) Fig 9.1 Draft vs TPC Curve Fig 9.2 Draft vs MCTC curve Fig 14.1 Propeller details Fig 15.1 Rudder stock Connection Fig 15.2 Rudder Arrangement Fig 16.1 Propeller shaft Assembly 120 iv
  • 8. 21 34 35 36 37 37 38 41 42 43 44 LIST OF TABLES Table 3.1 Offset Table Table 5.1 Framing system Table 5.2 Strength / Weather Deck Plating Table 5.3 Lower deck pating Table 5.4 Strength / Weather Deck longitudinals Table 5.5 Cargo & Accommodation Deck Longitudinals Table 5.6 Strength / Weather cargo & accommodation deck Beams Table 5.7 Bar & Plate keel Table 5.8 Bottom , shell & Bilge plating Table 5.9 Side Shell Plating Table 5.10 Shell Framing v
  • 10. The Design Spiral The design spiral is one of the most important pieces of the technical know-how of a Naval Architect and/or Ocean Engineer. So what exactly is the Design Spiral and why is it so important for a typical ship designer in the marine industry or any personnel concerned with the design development of a marine structure? Fig1.1 :SHIP DESIGN SPIRAL Designing a ship is perhaps the most rigorous of all engineering problems. It takes a lot of technical expertise, often across many disciplines to design such structures.A ship not only floats on the surface of the ocean but also makes its way around the world, along different routes through rough weather - "in one piece". The SDesign Spiral is a systematic approach to achieving near perfect designs for a given ship design problem. A naval architect traces his way along the design spiral through the different stages of design given below: 1.CONCEPT DESIGN 2.PRELIMINARY DESIGN 3.CONTRACT DESIGN 4.DETAILED DESIGN As we move along the spiral into its core, we move from a zone of less information to extremely specific instruction for the construction of ship or in other words- "Realization of the design into a product". Given below are the definitions of each stage of design spiral along with the typical effort/man days required for a large merchant ship. Chapter 1 Introduction Ship Design & Project Page 2
  • 11. Concept design : This stage witnesses the translation of the mission requirements into naval architectural and engineering characteristics. The fundamental elements of the ship such as length, beam, depth, draft, fullness, power, or alternative sets of characteristics, all of which meet the required speed, range,cargo cubic and dead weight are used to perform feasibility studies. Light-ship weight estimation is done. Alternative designs are analyzed during this phase to determine the most economical design solution. Preliminary design : This stage essentially improves and elaborates the major ship characteristics affecting cost and performance. The factors such as length ,beam, horsepower deadweight, would not be expected to change after the completion of this stage. It also provides basis for the development of contract plans and specifications. Contract design : This stage describes more precisely features such as hull form based on a faired set of lines, powering based on model testing, sea keeping and maneuvering characteristics, the effect of number of propellers on hull form, structural details, use of different types of steel, spacing and type of frames . Paramount, among the contract design features, is a weight and center of gravity-estimate taking into account the location and weight of each major item in the ship. The final general arrangement is also developed during this stage. This fixes the overall volumes and areas of cargo, machinery, stores, fuel oil, fresh water, living and utility spaces and their interrelationship,as well as their relationship to other features such as cargo handling equipment, and machinery components. Check on Quality standards of hull and outfit and the anticipated performance for each item of machinery and equipment is done. Also describe the tests and trials required. Detailed design : Comprises of detailed working plans .These plans are the installation and construction instructions to the ship fitters, welders, outfitters, metal workers, machinery vendors, pipe-fitters, etc. At this stage the interchange is from engineer to artisan, that is, the engineer's product at this point is no longer to be interpreted, adjusted, or corrected by any other engineer. Ship Design & Project Page 3
  • 12. Chapter 2 Fixing of Main Dimension Ship Design & Project Page 4
  • 13. 2.1 Owner’s Requirements Ship type : General Cargo Dead Weight : 20,000 tonnes Route : Distances : Chittagong Port to Keppel Harbor Port, Singapore 1863 Nautical miles Distance from Bangladesh to China 3231 Nautical miles Distance from Bangladesh to Hong kong 3038 Nautical miles Distance from Bangladesh to Japan 4284 Nautical miles Distance from Bangladesh to Malaysia 2021 Nautical miles Average distance : 3500 Nautical mile Speed : 17 knots Endurance : 10 days  There is some restriction to design our ship. Which are given below[1]: 1. The maximum length overall, including bulbous bow, for a commercial vessel acceptable for regular transit is 289.6 meters. 2. The allowable height for any vessel transiting the Canal or entering the Port of Balboa is 57.91 meters . 3. The maximum beam for a commercial vessel and the integrated tug-barge combination acceptable for regular transit is 32.3 meters Chapter 2 Fixing Of Main Dimension World Wide Ship Design & Project Page 5
  • 14. 15,000 DWT TYPE GENERAL CARGO SHIP / PROJECT No.A-5626(1)R 20/NOVEMBER/2001 SHIP TYPE General cargo ship MAIN DIMENSION Length over all abt. 142.00 m Length betw. perp. 132.00 m Breadth mld. 22.40 m Depth mld. 11.30 m Designed draft mld. 8.25 m DEADWEIGHT abt. 15,000 MT at d = 8.25 m COMPLEMENT 18 persons KIND OF CARGOES Grain cargo Coal Iron ore CAPACITY Grain abt. 18,400m3 SERVICE SPEED abt. 13.3 knots at d = 8.25 m MAIN ENGINE 1 - MAN B&W 7S35MC M.C.O. 4,900KW(6,650PS) - 170 rpm Subject to change without notice. © Kyokuyo Shipyard Corporation. All rights reserved.
  • 15. 2.2 Basis Ship Data Ship Type : General Cargo Length, LOA : 142 m Length, LBP : 132 m Breadth, BMLD : 22.23 m Depth, D : 11.30 m Draught, T : 8.25 m Dead weight, DWT : 15000 tonnes Speed : 13.8 Knots Complement : 18 persons Power : 4,900KW 2.3 Principal Particulars 2.3.1 Primary Power Calculation Displacement of basis ship, Δ = 132 × 22.23 × 8.25 × 1.025 × 0.775 = 10106.53 tonnes Ship Design & Project Page 6
  • 16. Dead weight coefficient, Cd = 15000 10106.53 = 0.78 L/B = 5.93 B/T = 2.69 T/D = 0.72 Taking same Ac for basis sip & model ship : 2 3∇1 ×V1 3 𝑝𝑝 1 = ∇2 2 3×V23 𝑝𝑝 2 P2= 11097 kw 2.3.2 Deadweight of new ship  Weight of crew: 75 kg/person Number of crew = 18 Weight = 75 × 18 = 1350 kg = 1.35 tonnes  Stores & Provisions: 5 kg/person/day Weight = 5 × 18 × 10 × 1.20 kg = 1080 kg = 1.08 tonnes  Fresh Water: 1. Consumption for crew = 20 kg/person/day = 20 × 18 × 10 × 1.20 kg Ship Design & Project Page 7
  • 17. = 4320 kg = 4.32 tonnes 2. Bath & Laundry: 200 kg/person/day = 200 × 18 × 10× 1.20 kg = 43200 kg = 43.2 tonnes 3. Cooking: 4 kg/person/day = 4 × 18 × 10× 1.20 kg = 862.85 kg = 863 kg = 0.863 tonnes 4. Main engine Cooling: 7 g/ kwh = 7 × 6000×10× 24 × 1.20 g = 12096kg = 12.096 tonnes 5. Auxiliary engine Cooling: 0.20 × Main engine cooling water = 0.20 × 15.3 tonnes = 3 tonnes Total fresh water needed = 4.32+43.2 +0.863 +12.09 +3 = 63.7 tonnes  Fuel Oil: Engine: B32:40V12P Engine power: 6000 kw SFC : 184 g/kwh Fuel needed : 184 × × 10 × 24 × 1.20 Ship Design & Project Page 8 = 318 tonnes
  • 18.  Lubricating Oil: Specific lubricating oil consumption = 0.8 g/BHPh Weight = 0.8 × 6000 ×10× 24 × 1.20 g = 1382 kg = 1.38 tonnes  Generator Fuel: Model : 6090HF484 SFC : 59.1 l/h( 15.6g/h) Generator power : 2x250 kw Fuel needed : 59.1 × 2 × 10× 18 × 1.20 g = 25528.5 kg = 25.52 tonnes Summary: DWT : 20000 tonnes Fresh Water : 66.7 tonnes Engine Fuel : 318 tonnes Generator Fuel : 25.52 tonnes Lubricating Oil : 1.38 tonnes Performance Curves 'C' 120 1 (54) <!!. "' 80 i (34) I "i 40 l (18) D · PRIME 0 · STAHD8Y L,Jt--' ,0 -,..,.,.. ~ v- _,,,) ,-~ --1..- 20 60 100 140 160 220 280 300 (1S) (45) (76) (104) (13-4) (164) (190) (224) Brake Power- hi) (kW) Ship Design & Project Page 9 Reference [2]
  • 19. Crew : 1.35 tonnes Store & Provisions : 1.08 tonnes TOTAL = 414.53 TONNES CAPACITY = 20000 – 415 = 19585 TONNES Displacement, Δ = 𝐷𝐷𝐷𝐷𝐷𝐷 Cd = 20000 0.7733 = 25863.183 𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡 Lightweight, LWT = 25863.183 – 20000 = 5863.183 tonnes 2.3.3 Draft Calculation We know, Δ = (L/B) × (B/T)2 × T3 × Cb Or, T =� Δ 𝐶𝐶𝐶𝐶×� 𝐿𝐿 𝐵𝐵 �×( 𝐵𝐵 𝑇𝑇 )2 3 = � 26692.105 0.795×(5.93)× 2.692 3 = 9.21 2.3.4 Breadth Calculation B/T = 2.69 Ship Design & Project Page 10
  • 20. Or, B = 2.69 × 9.21 = 24.78 m 2.3.5 Length Calculation L/B = 5.93 Or, L = 5.93 × 24.78 = 145.28 m 2.3.6 Depth Calculation T/D = 0.72 Or, D = 8.35 /.72= 12.79 m 2.3.7 Summary of Principal Particulars Displacement, Δ = 25863.183 tonnes = 26103 tonnes CARGO CAPACITY = 20000 – 485 = 19515 TONNES Dead weight, DWT = 20000 tonnes Light weight, LWT = 5863.183 tonnes Length, LOA = 149.77 m Length, LBP = 145.28 m Breadth, BMLD = 24.78 m Depth, D = 12.79 m Draught, T = 9.21 m Block coefficient, Cb =0 .775 Ship Design & Project Page 11
  • 21. 2.3.8 Free Board Calculation [According to :ILLC 1966, Bulk Carrier: Type ‘B’ Vessel.] Length Free board 243 3893 244 3934 245 3949 246 3965 247 3975 248 3978 289 3992 By liniear inter pulation for length L = 145.28 FreeBoard Is 3953.48 mm 2.3.9 Sheer Calculation 2.3.10 Minimum Bow Height As Length, L < 250m = 56𝐿𝐿 �1 − 𝐿𝐿 500 � 1.36 𝐶𝐶𝐵𝐵 + 0.68 𝑚𝑚𝑚𝑚 AP 1 6 𝐿𝐿 1 3 𝐿𝐿 Midship 2 3 𝐿𝐿 5 6 𝐿𝐿 FP 25( 𝐿𝐿 3 + 10) 11.1( 𝐿𝐿 3 + 10) 2.8( 𝐿𝐿 3 + 10) 0 5.6( 𝐿𝐿 3 + 10) 22.2( 𝐿𝐿 3 + 10) 25( 𝐿𝐿 3 + 10) 2066 648.5 163.59 0 327.189 1297 1460.676.65 Ship Design & Project Page 12 [3]
  • 22. = 8135.7 �1 − 145.28 500 � 1.36 0.79 + 0.68 𝑚𝑚𝑚𝑚 = 5339.89 𝑚𝑚𝑚𝑚 2.3.11 Wheel House Height [According to https: panama-canal-bridge-visibility-requirements] AC = 2× 145.28 m = 290560 mm Bow height h = 5339.89 2.3.12 Primary Length of Poop Deck[5] Poop deck covers 15% of ships length & Pood Deck’s front should not exceed 50% Of Length Amitship. fig2.1: Ship Design & Project Page 13 [4] For Our ship Poop deck Height = 36.25+2×145.28 2×145.28 × (5.3 + 12.79) m = 20 m (maximum)
  • 23. 2.3.13 Dimention for Bulbusbow Length of Bulbusbow Will be calculated by subtracting at X distance forward per pendicular . 𝑋𝑋 = a 2 = 0.015L = 2.175 m a = 4.35m (maximum) Ship Design & Project Page 14 Fig 2.2 : Dimension for bulbusbow [5]
  • 24. Length of collision bulkhead should not be more than 7% of L So 0.07×145.28 m = 10.15 m Hc = Height Of Hatchways = 600mm Calculation of Determining the Distance of Cargo holds from Collision Bulkhead: For Position 1 : Hatchway height Hc = 600 mm 𝐿𝐿𝑓𝑓 = 5 × ( 𝐻𝐻𝐻𝐻 − 𝐻𝐻𝐻𝐻)0.5 𝑚𝑚 = 3.53 m Hf = (Hc+0.5) mm = 600.5 mm Ship Design & Project Page 15
  • 25. Angles Ranges ( °) For Our Ship Α ( A1) 15 ˜ 55 45 ß (A2) 25 ˜ 90 48 2.3.14 Navigation In Ice Awf = Area of waterplane in Bow B/4 = Breadth /4 = 6.133 m 2.3.15 Primary Length Of Cargo Hold Length remaining = L - (7% of L For Forcastle ) –( 15% of L/2 For Poop deck) – Lf Ship Design & Project Page 16 Fig2.3 : Navigation in ice
  • 26. = 145.28 – ( .07×145.28+.15×(145.28/2)+3.53) m = 145.28 – 25.59 m =120.68 m So Length of Cargo hold = 120/5 = 24 m (minimum) Ship Design & Project Page 17
  • 27. GALLEY WARDROBE WARDROBE LCD TV SAFE SAFE WARDROBE SAFEWARDROBE LCD TV SAFE SAFE WARDROBE WARDROBE WARDROBE WARDROBE FRIDGE LCD TV WARDROBE WARDROBE WARDROBE WARDROBE WARDROBE LCD TV SAFE SAFE WARDROBE SAFE WARDROBE SAFE WARDROBE SAFESAFE LCDTV First Engr. Asst. Cook2Gps Operator TOILET AND BATH UP UP DN DN TOILET AND BATH ELECTRICIAN TOILET AND BATH TOILET AND BATH UP DN FUNNEL OWNER DN UP DN UP DN STORE ROOM E.L.H Second Engr DECK MAINTENANCE BATHROOM BATHROOM Exra Cabin 2 CHIEF MATE 2nd MATE TOILET DN TOILET AND BATH Sea Man UP Asst. Cook1 TOILET AND BATH E.L.H Chief Steward TOILET AND BATH BATHROOM TOILET CAPTAIN BATHROOM Electric Storage Cleaner TOILET TOILET DN WHEEL HOUSE DN E.L.H GANTRY CRANE OPERATOR 1 Extra Cabin DN W. T. DINING ROOM Chief Cook TOILET AND BATH TOILET AND BATH TOILET AND BATH Radio Operator TOILET AND BATH Deck Maintenence Steward 1 TOILET AND BATH Extra Cabin 3 CREW DINING ROOM DINING ROOM W W 24 WW 36 W WATER BALLASTWATER BALLAST W 48 WATER BALLAST CHAIN LOCKER HATCH COVER W Engine Room UNDER DECK HATCH COVER BHD BHDW 60 BHDBHDW BOW THRUSTER FORE PEAK W W BRIDGE DECK 2 FIRST AID W WATER BALLAST WATER BALLASTWATER BALLAST W 72 WATER BALLAST WATER BALLAST W WATER BALLAST WATER BALLAST W 84 WATER BALLASTWATER BALLAST W CARGO HOLD 4CARGO HOLD 3CARGO HOLD 2 WW 96 WWW WWW 108 WWW W PAINT STORECO2 BOTTLE ROOM WW 120 W DECK MAINTEN- ANCE ROOM SLOP CHEST STEWARDS STORE & PROVISSIONS LAUNDRYENG. SHOP & STORES ELECTRIC SHOP & STORES GARVAGE STORE EMERGENCY GENERATOR ROOM AC& REFRIGERATION ROOM PASSAGE PASSAGE LIFE BOAT LIFE BOAT CARGO HOLD 1 WW W CARGO HOLD 5 W WATER BALLAST W WATER BALLAST 132 WATER BALLAST W WATER BALLAST W WATER BALLAST W WATER BALLAST WW W HATCH COVER 143 NAVIGATION DECK W MAIN DECK W AFT PEAK WBHD W BHD W BHD W 145 W HATCH COVER W HATCH COVER W WATER BALLAST W WATER BALLAST W WWW WW ELEVATION W Frame spaceing = 1200 mm W W RADAR W W 12 Ship Design & Project Page 18
  • 28. Chapter 3 Lines Plan & Offset Table Ship Design & Project Page 19
  • 29. Station spacing 7. 26 m Water line spacing 1.81 m WL-4 WL-0.5 WL-2 WL-5 ST8 ST12 WL-2 WL-1 WL-6 WL-3 WL-1 WL-6 ST11 ST18 ST5 WL-0 FP WL-3 ST1 ST1.5 ST2 ST3 ST4 WL-4 ST6 ST7 ST8 ST9 ST17 ST10 ST19.5 ST13 ST14 ST15 ST16 ST17 ST18 ST18.5 WL-5 WL-4 AP FP ST0.5 ST1 ST1.5 ST2 ST3 ST4 ST5 ST6 ST7 WL-5 ST9 ST10 ST11 ST12 ST13 ST14 ST15 ST16 WL-0 WL-6 ST18.5 ST19 WL-0.5 AP DECK CL BTK-4 BTK-3 BTK-2 BTK-1 BTK-4 BTK-3 BTK-2 BTK-1 BTK-1 BTK-4 BTK-3 BTK-2 ST19 ST0.5 ST19.5 WL-0 DECK WL-0.5 WL-1 WL-2 WL-3 BREADTH DRAFT Md. Ashifur Rahamn(1312029) 9.07 m 24.65 m DEPTH LENGTH(LWL) Md. Abdur Rahim(1312036) 145.28 m LINES PLAN Fig 3.1 : PROFILE Fig 3.3 : BODY PLAN Fig 3.2 : HALF BREADTH PLAN SUBMITTED BY: 149.7 m PRINCIPAL PARTICULARS SCALE: 1:1 LENGTH(OA) LENGTH(BP) 139.2 m 12.79 m 20000 T DWT CARGO SHIP Chapter 3 Lines Plan & Offset Table Ship Design & Project Page 20
  • 30. Water Lines 0 0.5 1 2 3 4 5 6 KEEL BTK 1 BTK 2 BTK 3 BTK 4 sections 68 7792 10652 0 0 0 1532 7820 11527 00 1836.65 2119.46 1554.93 3.3 1421.78 3017.42 4439.2 0 835 5940 9155 0 967.29 2266.92 2512.32 2134.87 2462.8 4084.86 5325.06 6437.61 0 506 4786 7445 11638 1202.79 2445.19 2818.24 2890.87 4035.34 5659.6 6863.48 7884.7 0 390 3740 6348 9916 1275.42 2700.5 3293.64 3805.34 5246.93 6816.17 8057.47 9017.06 0 240 1407 4375 7665 1492.21 3077.95 3931.9 4731.92 6218.62 7725.13 8987.35 9873.21 0 139 659 1972 5484 1886.17 4010.03 5366.88 6692.92 7939.72 9195.33 10252.86 10930.73 0 0 378 1139 2378 2406.68 4994.93 7143 8767.26 9634.41 10395.92 11012.17 11474.35 0 0 132 431 1285 3733.81 6374.89 9296.57 10335.39 10825.09 11211.35 11544.78 11854.01 0 0 0 0 597 6104.18 9214.04 10640.22 11320.29 11543.68 11748.37 11934.34 12113.71 0 0 0 0 325 8445.93 10881.21 11603.11 12016.88 12065.29 12134.62 12191.85 12249.07 0 0 0 0 325 9428.63 11478.76 12042.19 12325 12325 12325 12325 12325 0 0 0 0 325 9427.52 11477.66 12041.08 12325 12325 12325 12325 12325 0 0 0 0 325 9426.42 11476.56 12039.98 12325 12325 12325 12325 12325 0 0 0 0 325 9425.32 11475.46 12037.78 12325 12325 12325 12325 12325 0 0 0 0 325 9423.12 11474.35 12036.68 12325 12325 12325 12325 12325 0 0 0 0 325 9422.02 11473.25 12035.58 12325 12325 12325 12325 12325 0 0 0 0 384 9420.92 11471.05 12034.48 12325 12325 12325 12325 12325 0 0 0 255 1173 9078.68 11285.08 11921.14 12301.89 12273.28 12298.59 12314 12318.4 0 0 252 763 2246 6083.27 9648.71 10821.79 11633.92 11813.29 11993.77 12145.63 12254.57 0 161 456 1478 3668 3136.27 6031.55 9405.52 10799.78 11253.17 11611.91 11916.73 12139.02 0 221 498 2015 4610 1941.19 3882.38 7350.98 9764.26 10576.39 11148.62 11625.12 11964.05 0 508 921 2836 5808 1572.54 3150.58 6071.16 9102.89 10124.11 10810.79 11367.61 11753.87 833 1984 2898 4161 7757 1378.86 2808.34 5243.63 8358.99 9538.67 10318.89 10929.63 11336.8 5682 6325 6808 7388 11174 0 1519.72 3386.07 6675.31 8374.4 9374.7 10153.82 10652.32 0 0 0 0 0 6422.21 8520.79 9517.76 Table 3.1 : Offset Table Half Breadths Ship Design & Project Page 21
  • 31. 0 0.5 1 2 3 4 5 6 0 1836.65 2119.46 1554.93 3.3 1421.78 3017.42 4439.2 967.29 2266.92 2512.32 2134.87 2462.8 4084.86 5325.06 6437.61 1202.79 2445.19 2818.24 2890.87 4035.34 5659.6 6863.48 7884.7 1275.42 2700.5 3293.64 3805.34 5246.93 6816.17 8057.47 9017.06 1492.21 3077.95 3931.9 4731.92 6218.62 7725.13 8987.35 9873.21 1886.17 4010.03 5366.88 6692.92 7939.72 9195.33 10252.86 10930.73 2406.68 4994.93 7143 8767.26 9634.41 10395.92 11012.17 11474.35 3733.81 6374.89 9296.57 10335.39 10825.09 11211.35 11544.78 11854.01 6104.18 9214.04 10640.22 11320.29 11543.68 11748.37 11934.34 12113.71 8445.93 10881.21 11603.11 12016.88 12065.29 12134.62 12191.85 12249.07 9428.63 11478.76 12042.19 12325 12325 12325 12325 12325 9427.52 11477.66 12041.08 12325 12325 12325 12325 12325 9426.42 11476.56 12039.98 12325 12325 12325 12325 12325 9425.32 11475.46 12037.78 12325 12325 12325 12325 12325 9423.12 11474.35 12036.68 12325 12325 12325 12325 12325 9422.02 11473.25 12035.58 12325 12325 12325 12325 12325 9420.92 11471.05 12034.48 12325 12325 12325 12325 12325 9078.68 11285.08 11921.14 12301.89 12273.28 12298.59 12314 12318.4 6083.27 9648.71 10821.79 11633.92 11813.29 11993.77 12145.63 12254.57 3136.27 6031.55 9405.52 10799.78 11253.17 11611.91 11916.73 12139.02 1941.19 3882.38 7350.98 9764.26 10576.39 11148.62 11625.12 11964.05 1572.54 3150.58 6071.16 9102.89 10124.11 10810.79 11367.61 11753.87 1378.86 2808.34 5243.63 8358.99 9538.67 10318.89 10929.63 11336.8 0 1519.72 3386.07 6675.31 8374.4 9374.7 10153.82 10652.32 0 0 0 0 0 6422.21 8520.76 9517.76 1815.6 7264.25 =145280 mm distance between two WL  distance between two section ship's  Lbp= 145.28m Half Breadth Ship Design & Project Page 22
  • 32. Chapter 4 Hydrostatic Calculation Ship Design & Project Page 23
  • 33. The following formulas are used to perform hydrostatic calculation and to obtain hydrostatic curves: 1. Calculation of Displacement Half of water plane area = AWP = ∫ y dx Using Simpsons first rule, AWP = 2∫ y dx = 1 3 × h ×∑ y × Simpson′ s multiplier Displacement of the ship, V = ∬ y dx dz = 1 3 × k × ( 1 3 h ∑ y × Simpson′ s multiplier ) × Simpson’s multiplier 2. Vertical Centre of Buoyancy (VCB) Total displacement of the ship KB = Moment of the volume about the keel 3. Longitudinal centre of buoyancy (LCB) Total displacement of the ship LCB = Moment of the volume about amidship 4. Tons Per Centimetre Immersion (TPC) TPC = 𝐴𝐴 𝑊𝑊𝑊𝑊 100 5. Transverse Metacentre Transverse Metacentre, BMT = 𝐼𝐼 𝛻𝛻 = 1 3 ∫ 𝑦𝑦3 𝑑𝑑𝑑𝑑 𝛻𝛻 = 1 3 × 1 3 ×h × ∑ y3 ×Simpson′s multiplier ∇ 6. Longitudinal metacentre Longitudinal Metacentre BML = ICF ∇ = IM−Ah2 ∇ = 1 3 ∫ yx2dx− Ah2 ∇ =3 1 × 1 3 ×h × ∑ yx2 ×Simpson′smultiplier− Ah2 ∇ 7. Longitudinal centre of flotatation (LCF) LCF = Moment of the waterplane area about amidship Waterplane area ∫ y dx = ∫ yx dx 8. Moment to change trim 1 centimeter (MCTC) MCTC = ∆ × GML 12 L 12 L ≈ ∆ × BML 9. Form coefficients ∆ Block coefficient, 𝐶𝐶𝐵𝐵 = 𝐿𝐿 ×𝐵𝐵×𝐻𝐻 Prismatic coefficient, 𝐶𝐶𝑃𝑃 = ∆ 𝐿𝐿 ×𝐵𝐵 𝐿𝐿 ×𝐴𝐴 𝑀𝑀 Midship area coefficient, 𝐶𝐶𝑚𝑚 = 𝐴𝐴 𝑀𝑀 𝐵𝐵 ×𝐻𝐻 Water plane area coefficient, 𝐶𝐶𝑤𝑤 = 𝐴𝐴 𝑊𝑊𝑊𝑊
  • 34. SM section SM y0 y x SM y1 y x SM y2 y x SM 0 0.5 0.0000 0 1836.6500 918.325 2119.4600 1059.73 6286.87 1902407 951203.43 ‐10 ‐9512034 0.5 2 967.2900 1934.58 2266.9200 4533.84 2512.3200 5024.64 10229.75 3095521 6191041.7 ‐9.5 ‐5.9E+07 1 1 1202.7900 1202.79 2445.1900 2445.19 2818.2400 2818.24 11378.62 3443169 3443168.9 ‐9 ‐3.1E+07 1.5 2 1275.4200 2550.84 2700.5000 5401 3293.6400 6587.28 12343.73 3735213 7470425.4 ‐8.5 ‐6.3E+07 2 1.5 1492.2100 2238.315 3077.9500 4616.925 3931.9000 5897.85 14076.38 4259511 6389266.6 ‐8 ‐5.1E+07 3 4 1886.1700 7544.68 4010.0300 16040.12 5366.8800 21467.52 18072.11 5468619 21874476 ‐7 ‐1.5E+08 4 2 2406.6800 4813.36 4994.9300 9989.86 7143.0000 14286 22424.92 6785781 13571562 ‐6 ‐8.1E+07 5 4 3733.8100 14935.24 6374.8900 25499.56 9296.5700 37186.28 30185.8 9134223 36536892 ‐5 ‐1.8E+08 6 2 6104.1800 12208.36 9214.0400 18428.08 10640.2200 21280.44 46796.5 14160621 28321242 ‐4 ‐1.1E+08 7 4 8445.9300 33783.72 10881.2100 43524.84 11603.1100 46412.44 58838.11 17804412 71217648 ‐3 ‐2.1E+08 8 2 9428.6300 18857.26 11478.7600 22957.52 12042.1900 24084.38 63465.52 19204666 38409333 ‐2 ‐7.7E+07 9 4 9427.5200 37710.08 11477.6600 45910.64 12041.0800 48164.32 63458.9 19202663 76810653 ‐1 ‐7.7E+07 10 2 9426.4200 18852.84 11476.5600 22953.12 12039.9800 24079.96 63452.3 19200666 38401332 0 0 11 4 9425.3200 37701.28 11475.4600 45901.84 12037.7800 48151.12 63446.25 19198835 76795341 1 76795341 12 2 9423.1200 18846.24 11474.3500 22948.7 12036.6800 24073.36 63436.86 19195994 38391988 2 76783975 13 4 9422.0200 37688.08 11473.2500 45893 12035.5800 48142.32 63430.26 19193997 76775987 3 2.3E+08 14 2 9420.9200 18841.84 11471.0500 22942.1 12034.4800 24068.96 63419.26 19190668 38381336 4 1.54E+08 15 4 9078.6800 36314.72 11285.0800 45140.32 11921.1400 47684.56 61876.45 18723814 74895255 5 3.74E+08 16 2 6083.2700 12166.54 9648.7100 19297.42 10821.7900 21643.58 48392.12 14643456 29286911 6 1.76E+08 17 4 3136.2700 12545.08 6031.5500 24126.2 9405.5200 37622.08 27264.12 8250121 33000485 7 2.31E+08 18 1.5 1941.1900 2911.785 3882.3800 5823.57 7350.9800 11026.47 16707.01 5055540 7583309.6 8 60666477 18.5 2 1572.5400 3145.08 3150.5800 6301.16 6071.1600 12142.32 13498.09 4084522 8169044.1 8.5 69436875 19 1 1378.8600 1378.86 2808.3400 2808.34 5243.6300 5243.63 12058.7 3648961 3648961.1 9 32840650 19.5 2 0.0000 0 1519.7200 3039.44 3386.0700 6772.14 4385.845 1327157 2654313.4 9.5 25215977 20 0.5 0.0000 0 0.0000 0 0.0000 0 0 0 0 10 0 sum of the  area  products  of water  plane 0 338171.6 sum of the  area  products of  water plane  0.5 467441.1 sum of the  area  products of  water plane  1 544919.6 739171174 Summatio n of  moments 3.95E+08 1.79E+12 LCB 3882.507 Summatio n of  volume  products 1.18E+10 1.79E+12 Summatio n of  moments  3.21E+09 492.3558 7264.25 1815.6 Table 1. Waterplane area, Displacement, LCB VCB calculation for WL‐0.5 Water planes 0 0.5 1 VOLUME Volume  function  levers about  amidship Different totals  Summation of  volume functions 2.5 4 ‐0.5 products  for  area  below  Waterplane area 1637708552 2263739389 2638954900 ‐1319477450 SM 2.5 4 ‐0.5 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines VOLUME levers 0 0.5 1 Volume products 4094271379 9054957556 ‐1319477450  Monent about the  keel 0 4527478778 Chapter 4 Hydrostatic Calculation Ship Design & Project Page 24
  • 35. SM section SM y0 y x SM y1 y x SM y2 y x SM 0 0.5 0.0000 0 1836.6500 918.325 2119.4600 1059.73 4733.03 5728860 2864430 ‐10 ‐2.9E+07 0.5 2 967.2900 1934.58 2266.9200 4533.84 2512.3200 5024.64 6273.645 7593620 15187240 ‐9.5 ‐1.4E+08 1 1 1202.7900 1202.79 2445.1900 2445.19 2818.2400 2818.24 6900.895 8352843 8352843 ‐9 ‐7.5E+07 1.5 2 1275.4200 2550.84 2700.5000 5401 3293.6400 6587.28 7685.53 9302566 18605131 ‐8.5 ‐1.6E+08 2 1.5 1492.2100 2238.315 3077.9500 4616.925 3931.9000 5897.85 8867.955 10733773 16100659 ‐8 ‐1.3E+08 3 4 1886.1700 7544.68 4010.0300 16040.12 5366.8800 21467.52 11646.59 14097026 56388106 ‐7 ‐3.9E+08 4 2 2406.6800 4813.36 4994.9300 9989.86 7143.0000 14286 14764.7 17871193 35742386 ‐6 ‐2.1E+08 5 4 3733.8100 14935.24 6374.8900 25499.56 9296.5700 37186.28 19264.97 23318320 93273279 ‐5 ‐4.7E+08 6 2 6104.1800 12208.36 9214.0400 18428.08 10640.2200 21280.44 26800.28 32439059 64878118 ‐4 ‐2.6E+08 7 4 8445.9300 33783.72 10881.2100 43524.84 11603.1100 46412.44 31786.94 38474912 1.54E+08 ‐3 ‐4.6E+08 8 2 9428.6300 18857.26 11478.7600 22957.52 12042.1900 24084.38 33692.93 40781922 81563845 ‐2 ‐1.6E+08 9 4 9427.5200 37710.08 11477.6600 45910.64 12041.0800 48164.32 33689.62 40777916 1.63E+08 ‐1 ‐1.6E+08 10 2 9426.4200 18852.84 11476.5600 22953.12 12039.9800 24079.96 33686.32 40773922 81547843 0 0 11 4 9425.3200 37701.28 11475.4600 45901.84 12037.7800 48151.12 33682.47 40769262 1.63E+08 1 1.63E+08 12 2 9423.1200 18846.24 11474.3500 22948.7 12036.6800 24073.36 33678.6 40764577 81529155 2 1.63E+08 13 4 9422.0200 37688.08 11473.2500 45893 12035.5800 48142.32 33675.3 40760583 1.63E+08 3 4.89E+08 14 2 9420.9200 18841.84 11471.0500 22942.1 12034.4800 24068.96 33669.8 40753926 81507852 4 3.26E+08 15 4 9078.6800 36314.72 11285.0800 45140.32 11921.1400 47684.56 33070.07 40028013 1.6E+08 5 8.01E+08 16 2 6083.2700 12166.54 9648.7100 19297.42 10821.7900 21643.58 27749.95 33588539 67177079 6 4.03E+08 17 4 3136.2700 12545.08 6031.5500 24126.2 9405.5200 37622.08 18334 22191468 88765870 7 6.21E+08 18 1.5 1941.1900 2911.785 3882.3800 5823.57 7350.9800 11026.47 12410.85 15022087 22533130 8 1.8E+08 18.5 2 1572.5400 3145.08 3150.5800 6301.16 6071.1600 12142.32 10123.01 12252891 24505783 8.5 2.08E+08 19 1 1378.8600 1378.86 2808.3400 2808.34 5243.6300 5243.63 8927.925 10806360 10806360 9 97257244 19.5 2 0.0000 0 1519.7200 3039.44 3386.0700 6772.14 4732.475 5728188 11456375 9.5 1.09E+08 20 0.5 0.0000 0 0.0000 0 0.0000 0 0 0 0 10 0 sum of the  area  products  of water  plane 0 338171.6 sum of the area  products of water  plane 0.5 467441.1 sum of the area  products of water  plane 1 544919.6 1.67E+09 Summatio n of  moments 9.03E+08 4.03E+12 LCB 3936.838 Summatio n of  volume  products 6.67E+09 4.03E+12 Summatio n of  moments  3.58E+09 975.9786 7264.25 1815.6 Table 1. Waterplane area, Displacement, LCB VCB calculation for WL‐01 Water planes 0 0.5 1 VOLUME Volume  function  levers about  amidship Different totals  Summation of  volume functions 0.5 2 0.5 products  for  area  below  Waterplane Area 1637708552 2263739389 2638954900 1319477450 SM 0.5 2 0.5 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines VOLUME levers 0 0.5 1 Volume products 818854275.8 4527478778 1319477450  Monent about the  keel 0 2263739389 Ship Design & Project Page 25
  • 36. SM section SM y0 y x SM y1 y x SM y2 y x SM 0 0.5 0.0000 0 2119.4600 1059.73 1554.9300 777.465 10032.77 12143665 6071832 ‐10 ‐6.1E+07 0.5 2 967.2900 1934.58 2512.3200 5024.64 2134.8700 4269.74 13151.44 15918503 31837006 ‐9.5 ‐3E+08 1 1 1202.7900 1202.79 2818.2400 2818.24 2890.8700 2890.87 15366.62 18599757 18599757 ‐9 ‐1.7E+08 1.5 2 1275.4200 2550.84 3293.6400 6587.28 3805.3400 7610.68 18255.32 22096239 44192479 ‐8.5 ‐3.8E+08 2 1.5 1492.2100 2238.315 3931.9000 5897.85 4731.9200 7097.88 21951.73 26570374 39855561 ‐8 ‐3.2E+08 3 4 1886.1700 7544.68 5366.8800 21467.52 6692.9200 26771.68 30046.61 36368417 1.45E+08 ‐7 ‐1E+09 4 2 2406.6800 4813.36 7143.0000 14286 8767.2600 17534.52 39745.94 48108486 96216972 ‐6 ‐5.8E+08 5 4 3733.8100 14935.24 9296.5700 37186.28 10335.3900 41341.56 51255.48 62039633 2.48E+08 ‐5 ‐1.2E+09 6 2 6104.1800 12208.36 10640.2200 21280.44 11320.2900 22640.58 59985.35 72606268 1.45E+08 ‐4 ‐5.8E+08 7 4 8445.9300 33783.72 11603.1100 46412.44 12016.8800 48067.52 66875.25 80945803 3.24E+08 ‐3 ‐9.7E+08 8 2 9428.6300 18857.26 12042.1900 24084.38 12325.0000 24650 69922.39 84634061 1.69E+08 ‐2 ‐3.4E+08 9 4 9427.5200 37710.08 12041.0800 48164.32 12325.0000 49300 69916.84 84627343 3.39E+08 ‐1 ‐3.4E+08 10 2 9426.4200 18852.84 12039.9800 24079.96 12325.0000 24650 69911.34 84620686 1.69E+08 0 0 11 4 9425.3200 37701.28 12037.7800 48151.12 12325.0000 49300 69901.44 84608703 3.38E+08 1 3.38E+08 12 2 9423.1200 18846.24 12036.6800 24073.36 12325.0000 24650 69894.84 84600714 1.69E+08 2 3.38E+08 13 4 9422.0200 37688.08 12035.5800 48142.32 12325.0000 49300 69889.34 84594057 3.38E+08 3 1.02E+09 14 2 9420.9200 18841.84 12034.4800 24068.96 12325.0000 24650 69883.84 84587400 1.69E+08 4 6.77E+08 15 4 9078.6800 36314.72 11921.1400 47684.56 12301.8900 49207.56 69065.13 83596433 3.34E+08 5 1.67E+09 16 2 6083.2700 12166.54 10821.7900 21643.58 11633.9200 23267.84 61004.35 73839665 1.48E+08 6 8.86E+08 17 4 3136.2700 12545.08 9405.5200 37622.08 10799.7800 43199.12 51558.13 62405961 2.5E+08 7 1.75E+09 18 1.5 1941.1900 2911.785 7350.9800 11026.47 9764.2600 14646.39 41109.37 49758781 74638172 8 5.97E+08 18.5 2 1572.5400 3145.08 6071.1600 12142.32 9102.8900 18205.78 34960.07 42315669 84631337 8.5 7.19E+08 19 1 1378.8600 1378.86 5243.6300 5243.63 8358.9900 8358.99 30712.37 37174253 37174253 9 3.35E+08 19.5 2 0.0000 0 3386.0700 6772.14 6675.3100 13350.62 20219.59 24473792 48947583 9.5 4.65E+08 20 0.5 0.0000 0 0.0000 0 0.0000 0 0 0 0 10 0 sum of the area  products of  water plane 0 338171.6 sum of the area  products of  water plane 0.5 544919.6 sum of the area  products of water  plane 1 595738.8 3.77E+09 Summatio n of  moments 2.5E+09 9.13E+12 LCB 4817.615 Summatio n of  volume  products 1.51E+10 9.13E+12 Summatio n of  moments  1.63E+10 1965.793 7264.25 1815.6 products  for  area  below  Volume  function  levers  Waterplane area, Displacement, LCB VCB calculation for WL‐02 Water planes 0 1 2 5770127389 about  amidship Different totals  Summation of  volume functions SM 1 4 1 VOLUME Water plane area 1637708552 2638954900 2885063694 1 4 1 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines VOLUME levers 0 1 2 Volume products 1637708552 10555819599 2885063694  Monent about the  keel 0 10555819599 Ship Design & Project Page 26
  • 37. SM section SM y y x SM y y x SM y y x SM y y x SM y y x SM 0.00000 0.50000 2119.46000 1059.73000 1554.93000 777.46500 3.30000 1.65000 1421.78000 710.89000 3017.42000 1508.71000 12879.08000 15588838.43200 7794419.21600 ‐10.00000 ‐77944192.16000 0.50000 2.00000 2512.32000 5024.64000 2134.87000 4269.74000 2462.80000 4925.60000 4084.86000 8169.72000 5325.06000 10650.12000 30884.60000 37382719.84000 74765439.68000 ‐9.50000 ‐710271676.96000 1.00000 1.00000 2818.24000 2818.24000 2890.87000 2890.87000 4035.34000 4035.34000 5659.60000 5659.60000 6863.48000 6863.48000 42745.75000 51739455.80000 51739455.80000 ‐9.00000 ‐465655102.20000 1.50000 2.00000 3293.64000 6587.28000 3805.34000 7610.68000 5246.93000 10493.86000 6816.17000 13632.34000 8057.47000 16114.94000 52450.04500 63485534.46800 126971068.93600 ‐8.50000 ‐1079254085.95600 2.00000 1.50000 3931.90000 5897.85000 4731.92000 7097.88000 6218.62000 9327.93000 7725.13000 11587.69500 8987.35000 13481.02500 60645.59000 73405422.13600 110108133.20400 ‐8.00000 ‐880865065.63200 3.00000 4.00000 5366.88000 21467.52000 6692.92000 26771.68000 7939.72000 31758.88000 9195.33000 36781.32000 10252.86000 41011.44000 75013.04000 90795783.61600 363183134.46400 ‐7.00000 ‐2542281941.24800 4.00000 2.00000 7143.00000 14286.00000 8767.26000 17534.52000 9634.41000 19268.82000 10395.92000 20791.84000 11012.17000 22024.34000 88153.48500 106700978.24400 213401956.48800 ‐6.00000 ‐1280411738.92800 5.00000 4.00000 9296.57000 37186.28000 10335.39000 41341.56000 10825.09000 43300.36000 11211.35000 44845.40000 11544.78000 46179.12000 97946.88000 118554903.55200 474219614.20800 ‐5.00000 ‐2371098071.04000 6.00000 2.00000 10640.22000 21280.44000 11320.29000 22640.58000 11543.68000 23087.36000 11748.37000 23496.74000 11934.34000 23868.68000 104204.03000 126128557.91200 252257115.82400 ‐4.00000 ‐1009028463.29600 7.00000 4.00000 11603.11000 46412.44000 12016.88000 48067.52000 12065.29000 48261.16000 12134.62000 48538.48000 12191.85000 48767.40000 108663.58000 131526397.23200 526105588.92800 ‐3.00000 ‐1578316766.78400 8.00000 2.00000 12042.19000 24084.38000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110783.59500 134092463.38800 268184926.77600 ‐2.00000 ‐536369853.55200 9.00000 4.00000 12041.08000 48164.32000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 110783.04000 134091791.61600 536367166.46400 ‐1.00000 ‐536367166.46400 10.00000 2.00000 12039.98000 24079.96000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110782.49000 134091125.89600 268182251.79200 0.00000 0.00000 11.00000 4.00000 12037.78000 48151.12000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 110781.39000 134089794.45600 536359177.82400 1.00000 536359177.82400 12.00000 2.00000 12036.68000 24073.36000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110780.84000 134089128.73600 268178257.47200 2.00000 536356514.94400 13.00000 4.00000 12035.58000 48142.32000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 12325.00000 49300.00000 110780.29000 134088463.01600 536353852.06400 3.00000 1609061556.19200 14.00000 2.00000 12034.48000 24068.96000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 12325.00000 24650.00000 110779.74000 134087797.29600 268175594.59200 4.00000 1072702378.36800 15.00000 4.00000 11921.14000 47684.56000 12301.89000 49207.56000 12273.28000 49093.12000 12298.59000 49194.36000 12314.00000 49256.00000 110482.63000 133728175.35200 534912701.40800 5.00000 2674563507.04000 16.00000 2.00000 10821.79000 21643.58000 11633.92000 23267.84000 11813.29000 23626.58000 11993.77000 23987.54000 12145.63000 24291.26000 106519.38000 128931057.55200 257862115.10400 6.00000 1547172690.62400 17.00000 4.00000 9405.52000 37622.08000 10799.78000 43199.12000 11253.17000 45012.68000 11611.91000 46447.64000 11916.73000 47666.92000 101546.44500 122911817.02800 491647268.11200 7.00000 3441530876.78400 18.00000 1.50000 7350.98000 11026.47000 9764.26000 14646.39000 10576.39000 15864.58500 11148.62000 16722.93000 11625.12000 17437.68000 95288.19500 115336831.22800 173005246.84200 8.00000 1384041974.73600 18.50000 2.00000 6071.16000 12142.32000 9102.89000 18205.78000 10124.11000 20248.22000 10810.79000 21621.58000 11367.61000 22735.22000 91038.29500 110192752.26800 220385504.53600 8.50000 1873276788.55600 19.00000 1.00000 5243.63000 5243.63000 8358.99000 8358.99000 9538.67000 9538.67000 10318.89000 10318.89000 10929.63000 10929.63000 85852.99000 103916459.09600 103916459.09600 9.00000 935248131.86400 19.50000 2.00000 3386.07000 6772.14000 6675.31000 13350.62000 8374.40000 16748.80000 9374.70000 18749.40000 10153.82000 20307.64000 75257.87500 91092131.90000 182184263.80000 9.50000 1730750506.10000 20.00000 0.50000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 6422.21000 3211.10500 8520.76000 4260.38000 34209.60000 41407299.84000 20703649.92000 10.00000 207036499.20000 sum of the  area products  of water plane  0 544919.62000 sum of the area  products of  water plane 0.5 595738.79500 sum of the area  products of  water plane 1 621093.61500 sum of the area  products of  water plane 2 650967.47000 sum of the area  products of  water plane 3 673853.98500 6866964362.55000 Summation  of moments 4480236478.01200 16627781956884.60000 LCB 4739.43887 Summation of  volume products 27474854522.28130 16627781956884.60000 Summation of  moments  42407146309.27540 2802.35933 7264.25000 1815.60000 Table 1. Waterplane area, Displacement, LCB VCB calculation for WL‐03 Water planes 0.00000 0.50000 1.00000 2.00000 3.00000 Sectional area below  waterline Volume function  levers moments about amidship Different totals  Summation of volume functions 0.50000 2.00000 1.50000 4.00000 1.00000 Area products for  sectional area  SM 0.50000 2.00000 1.50000 4.00000 1.00000 VOLUME Water plane area 2638954899.72333 2885063694.38583 3007852861.84250 3152526962.63167 3263362540.35750 VOLUME levers 0.00000 0.50000 1.00000 2.00000 3.00000 Volume products 1319477449.86167 5770127388.77167 4511779292.76375 12610107850.52670 3263362540.35750 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines  Monent about the keel 0.00000 2885063694.38583 4511779292.76375 25220215701.05330 9790087621.07250 Ship Design & Project Page 27
  • 38. SM section SM y y x SM y y x SM y y x SM y y x SM y y x SM 0.0000 0.5000 0.0000 0.0000 2119.4600 1059.7300 1554.9300 777.4650 3.3000 1.6500 1421.7800 710.8900 13022.6800 15762651.8720 7881325.9360 ‐10.0000 ‐78813259.3600 0.5000 2.0000 967.2900 1934.5800 2512.3200 5024.6400 2134.8700 4269.7400 2462.8000 4925.6000 4084.8600 8169.7200 29222.3700 35370756.6480 70741513.2960 ‐9.5000 ‐672044376.3120 1.0000 1.0000 1202.7900 1202.7900 2818.2400 2818.2400 2890.8700 2890.8700 4035.3400 4035.3400 5659.6000 5659.6000 40058.4500 48486747.8800 48486747.8800 ‐9.0000 ‐436380730.9200 1.5000 2.0000 1275.4200 2550.8400 3293.6400 6587.2800 3805.3400 7610.6800 5246.9300 10493.8600 6816.1700 13632.3400 49864.5500 60356051.3200 120712102.6400 ‐8.5000 ‐1026052872.4400 2.0000 1.5000 1492.2100 2238.3150 3931.9000 5897.8500 4731.9200 7097.8800 6218.6200 9327.9300 7725.1300 11587.6950 59283.2600 71756457.9040 107634686.8560 ‐8.0000 ‐861077494.8480 3.0000 4.0000 1886.1700 7544.6800 5366.8800 21467.5200 6692.9200 26771.6800 7939.7200 31758.8800 9195.3300 36781.3200 77693.7400 94040502.8960 376162011.5840 ‐7.0000 ‐2633134081.0880 4.0000 2.0000 2406.6800 4813.3600 7143.0000 14286.0000 8767.2600 17534.5200 9634.4100 19268.8200 10395.9200 20791.8400 97446.7600 117949558.3040 235899116.6080 ‐6.0000 ‐1415394699.6480 5.0000 4.0000 3733.8100 14935.2400 9296.5700 37186.2800 10335.3900 41341.5600 10825.0900 43300.3600 11211.3500 44845.4000 116102.5800 140530562.8320 562122251.3280 ‐5.0000 ‐2810611256.6400 6.0000 2.0000 6104.1800 12208.3600 10640.2200 21280.4400 11320.2900 22640.5800 11543.6800 23087.3600 11748.3700 23496.7400 129228.7300 156418454.7920 312836909.5840 ‐4.0000 ‐1251347638.3360 7.0000 4.0000 8445.9300 33783.7200 11603.1100 46412.4400 12016.8800 48067.5200 12065.2900 48261.1600 12134.6200 48538.4800 139287.9100 168594086.2640 674376345.0560 ‐3.0000 ‐2023129035.1680 8.0000 2.0000 9428.6300 18857.2600 12042.1900 24084.3800 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143872.3900 174143140.8560 348286281.7120 ‐2.0000 ‐696572563.4240 9.0000 4.0000 9427.5200 37710.0800 12041.0800 48164.3200 12325.0000 49300.0000 12325.0000 49300.0000 12325.0000 49300.0000 143866.8400 174136423.1360 696545692.5440 ‐1.0000 ‐696545692.5440 10.0000 2.0000 9426.4200 18852.8400 12039.9800 24079.9600 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143861.3400 174129765.9360 348259531.8720 0.0000 0.0000 11.0000 4.0000 9425.3200 37701.2800 12037.7800 48151.1200 12325.0000 49300.0000 12325.0000 49300.0000 12325.0000 49300.0000 143851.4400 174117782.9760 696471131.9040 1.0000 696471131.9040 12.0000 2.0000 9423.1200 18846.2400 12036.6800 24073.3600 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143844.8400 174109794.3360 348219588.6720 2.0000 696439177.3440 13.0000 4.0000 9422.0200 37688.0800 12035.5800 48142.3200 12325.0000 49300.0000 12325.0000 49300.0000 12325.0000 49300.0000 143839.3400 174103137.1360 696412548.5440 3.0000 2089237645.6320 14.0000 2.0000 9420.9200 18841.8400 12034.4800 24068.9600 12325.0000 24650.0000 12325.0000 24650.0000 12325.0000 24650.0000 143833.8400 174096479.9360 348192959.8720 4.0000 1392771839.4880 15.0000 4.0000 9078.6800 36314.7200 11921.1400 47684.5600 12301.8900 49207.5600 12273.2800 49093.1200 12298.5900 49194.3600 142758.7300 172795166.7920 691180667.1680 5.0000 3455903335.8400 16.0000 2.0000 6083.2700 12166.5400 10821.7900 21643.5800 11633.9200 23267.8400 11813.2900 23626.5800 11993.7700 23987.5400 131885.2000 159633846.0800 319267692.1600 6.0000 1915606152.9600 17.0000 4.0000 3136.2700 12545.0800 9405.5200 37622.0800 10799.7800 43199.1200 11253.1700 45012.6800 11611.9100 46447.6400 118982.5000 144016418.0000 576065672.0000 7.0000 4032459704.0000 18.0000 1.5000 1941.1900 2911.7850 7350.9800 11026.4700 9764.2600 14646.3900 10576.3900 15864.5850 11148.6200 16722.9300 104327.8100 126278381.2240 189417571.8360 8.0000 1515340574.6880 18.5000 2.0000 1572.5400 3145.0800 6071.1600 12142.3200 9102.8900 18205.7800 10124.1100 20248.2200 10810.7900 21621.5800 95370.1900 115436077.9760 230872155.9520 8.5000 1962413325.5920 19.0000 1.0000 1378.8600 1378.8600 5243.6300 5243.6300 8358.9900 8358.9900 9538.6700 9538.6700 10318.8900 10318.8900 87544.9300 105964383.2720 105964383.2720 9.0000 953679449.4480 19.5000 2.0000 0.0000 0.0000 3386.0700 6772.1400 6675.3100 13350.6200 8374.4000 16748.8000 9374.7000 18749.4000 69767.2000 84446218.8800 168892437.7600 9.5000 1604478158.7200 20.0000 0.5000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6422.2100 3211.1050 6422.2100 7773442.9840 3886721.4920 10.0000 38867214.9200 sum of the  area  products of  water plane  0 338171.5700 sum of the  area  products of  water plane  0.5 544919.6200 sum of the  area  products of  water plane  1 595738.7950 sum of the  area  products of  water plane  2 621093.6150 sum of the  area  products of  water plane  3 650967.4700 8284788047.5280 Summatio n of  moments 5752564009.8080 20060923858085.1000 LCB 5043.9508 Summation of  volume  products 33147593949.2483 20060923858085.1000 Summation of  moments  70800416569.0733 3877.9658 7264.2500 1815.6000 Table 5. Waterplane area, Displacement, LCB VCB calculation for WL‐04 Water planes 0.0000 1.0000 2.0000 3.0000 4.0000 Sectional area  below waterline Volume function  levers moments about  amidship Different totals  Summation of volume functions 1.0000 4.0000 2.0000 4.0000 1.0000 Area products  for sectional  SM 1.0000 4.0000 2.0000 4.0000 1.0000 VOLUME Water plane area 1637708551.5817 2638954899.7233 2885063694.3858 3007852861.8425 3152526962.6317 VOLUME levers 0.0000 1.0000 2.0000 3.0000 4.0000 Volume products 1637708551.5817 10555819598.8933 5770127388.7717 12031411447.3700 3152526962.6317 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines  Monent about the  keel 0.0000 10555819598.8933 11540254777.5433 36094234342.1100 12610107850.5267 Ship Design & Project Page 28
  • 39. SM section SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM 0.000 0.500 0.000 0.000 1836.650 918.325 2119.460 1059.730 1554.930 777.465 3.300 1.650 1421.780 710.890 3017.420 1508.710 21783.350 26366566.840 13183283.420 ‐10.000 ‐131832834.200 0.500 2.000 967.290 1934.580 2266.920 4533.840 2512.320 5024.640 2134.870 4269.740 2462.800 4925.600 4084.860 8169.720 5325.060 10650.120 43915.545 53155375.668 106310751.336 ‐9.500 ‐1009952137.692 1.000 1.000 1202.790 1202.790 2445.190 2445.190 2818.240 2818.240 2890.870 2890.870 4035.340 4035.340 5659.600 5659.600 6863.480 6863.480 58855.175 71238303.820 71238303.820 ‐9.000 ‐641144734.380 1.500 2.000 1275.420 2550.840 2700.500 5401.000 3293.640 6587.280 3805.340 7610.680 5246.930 10493.860 6816.170 13632.340 8057.470 16114.940 72016.540 87168820.016 174337640.032 ‐8.500 ‐1481869940.272 2.000 1.500 1492.210 2238.315 3077.950 4616.925 3931.900 5897.850 4731.920 7097.880 6218.620 9327.930 7725.130 11587.695 8987.350 13481.025 84052.645 101737321.508 152605982.262 ‐8.000 ‐1220847858.096 3.000 4.000 1886.170 7544.680 4010.030 16040.120 5366.880 21467.520 6692.920 26771.680 7939.720 31758.880 9195.330 36781.320 10252.860 41011.440 106698.765 129148185.156 516592740.624 ‐7.000 ‐3616149184.368 4.000 2.000 2406.680 4813.360 4994.930 9989.860 7143.000 14286.000 8767.260 17534.520 9634.410 19268.820 10395.920 20791.840 11012.170 22024.340 128841.410 155949642.664 311899285.328 ‐6.000 ‐1871395711.968 5.000 4.000 3733.810 14935.240 6374.890 25499.560 9296.570 37186.280 10335.390 41341.560 10825.090 43300.360 11211.350 44845.400 11544.780 46179.120 147943.460 179070763.984 716283055.936 ‐5.000 ‐3581415279.680 6.000 2.000 6104.180 12208.360 9214.040 18428.080 10640.220 21280.440 11320.290 22640.580 11543.680 23087.360 11748.370 23496.740 11934.340 23868.680 164736.840 199397471.136 398794942.272 ‐4.000 ‐1595179769.088 7.000 4.000 8445.930 33783.720 10881.210 43524.840 11603.110 46412.440 12016.880 48067.520 12065.290 48261.160 12134.620 48538.480 12191.850 48767.400 176318.480 213415888.192 853663552.768 ‐3.000 ‐2560990658.304 8.000 2.000 9428.630 18857.260 11478.760 22957.520 12042.190 24084.380 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181310.120 219457769.248 438915538.496 ‐2.000 ‐877831076.992 9.000 4.000 9427.520 37710.080 11477.660 45910.640 12041.080 48164.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 181305.700 219452419.280 877809677.120 ‐1.000 ‐877809677.120 10.000 2.000 9426.420 18852.840 11476.560 22953.120 12039.980 24079.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181301.300 219447093.520 438894187.040 0.000 0.000 11.000 4.000 9425.320 37701.280 11475.460 45901.840 12037.780 48151.120 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 181295.250 219439770.600 877759082.400 1.000 877759082.400 12.000 2.000 9423.120 18846.240 11474.350 22948.700 12036.680 24073.360 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181290.280 219433754.912 438867509.824 2.000 877735019.648 13.000 4.000 9422.020 37688.080 11473.250 45893.000 12035.580 48142.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 181285.880 219428429.152 877713716.608 3.000 2633141149.824 14.000 2.000 9420.920 18841.840 11471.050 22942.100 12034.480 24068.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 181279.280 219420440.512 438840881.024 4.000 1755363524.096 15.000 4.000 9078.680 36314.720 11285.080 45140.320 11921.140 47684.560 12301.890 49207.560 12273.280 49093.120 12298.590 49194.360 12314.000 49256.000 180253.690 218179066.376 872716265.504 5.000 4363581327.520 16.000 2.000 6083.270 12166.540 9648.710 19297.420 10821.790 21643.580 11633.920 23267.840 11813.290 23626.580 11993.770 23987.540 12145.630 24291.260 168854.710 204381740.984 408763481.968 6.000 2452580891.808 17.000 4.000 3136.270 12545.080 6031.550 24126.200 9405.520 37622.080 10799.780 43199.120 11253.170 45012.680 11611.910 46447.640 11916.730 47666.920 151809.345 183750031.188 735000124.752 7.000 5145000873.264 18.000 1.500 1941.190 2911.785 3882.380 5823.570 7350.980 11026.470 9764.260 14646.390 10576.390 15864.585 11148.620 16722.930 11625.120 17437.680 136191.245 164845882.948 247268824.422 8.000 1978150595.376 18.500 2.000 1572.540 3145.080 3150.580 6301.160 6071.160 12142.320 9102.890 18205.780 10124.110 20248.220 10810.790 21621.580 11367.610 22735.220 127464.720 154283297.088 308566594.176 8.500 2622816050.496 19.000 1.000 1378.860 1378.860 2808.340 2808.340 5243.630 5243.630 8358.990 8358.990 9538.670 9538.670 10318.890 10318.890 10929.630 10929.630 118890.045 143904510.468 143904510.468 9.000 1295140594.212 19.500 2.000 0.000 0.000 1519.720 3039.440 3386.070 6772.140 6675.310 13350.620 8374.400 16748.800 9374.700 18749.400 10153.820 20307.640 99221.205 120097346.532 240194693.064 9.500 2281849584.108 20.000 0.500 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 6422.210 3211.105 8520.760 4260.380 34209.600 41407299.840 20703649.920 10.000 207036499.200 sum of the  area  products  of water  plane 0 338171.570 sum of the  area  products  of water  plane 0.5 467441.110 sum of the  area  products  of water  plane 1 544919.620 sum of the  area  products  of water  plane 2 595738.795 sum of the  area  products  of water  plane 3 621093.615 sum of the  area  products  of water  plane 4 650967.470 sum of the  area  products  of water  plane 5 673853.985 10680828274.584 Summation of  moments 7023736329.792 25862735597882.300 LCB 4776.987 Summation  of volume  products 42734196295.245 25862735597882.300 Summation  of moments  114107042568.499 4847.938 7264.250 1815.600 Displacement= 25862.7356 Cb = 0.795511716 Table 6. Waterplane area, Displacement, LCB VCB calculation for WL‐05 Water planes 0.000 0.500 1.000 2.000 3.000 4.000 5.000 moments about  amidship 0.500 2.000 1.500 4.000 2.000 4.000 1.000 Area  products  Sectional area  below waterline Volume function  levers Different totals  Summation of volume functions Water plane area 1637708551.582 2263739388.878 2638954899.723 2885063694.386 3007852861.843 3152526962.632 3263362540.358 SM 0.500 2.000 1.500 4.000 2.000 4.000 1.000 VOLUME 12610107850.527 3263362540.358 VOLUME levers 0.000 0.500 1.000 2.000 3.000 4.000 Volume products 818854275.791 4527478777.757 3958432349.585 11540254777.543 6015705723.685 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines 5.000  Monent about the  keel 0.000 2263739388.878 3958432349.585 23080509555.087 18047117171.055 50440431402.107 16316812701.788 Ship Design & Project Page 29
  • 40. SM section SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM y y x SM 0.000 0.500 4439.200 2219.600 1836.650 918.325 2119.460 1059.730 1554.930 777.465 3.300 1.650 1421.780 710.890 3017.420 1508.710 24002.950 29053170.680 14526585.340 ‐10.000 ‐145265853.400 0.500 2.000 6437.610 12875.220 2266.920 4533.840 2512.320 5024.640 2134.870 4269.740 2462.800 4925.600 4084.860 8169.720 5325.060 10650.120 46650.705 56466013.332 112932026.664 ‐9.500 ‐1072854253.308 1.000 1.000 7884.700 7884.700 2445.190 2445.190 2818.240 2818.240 2890.870 2890.870 4035.340 4035.340 5659.600 5659.600 6863.480 6863.480 62196.130 75282195.752 75282195.752 ‐9.000 ‐677539761.768 1.500 2.000 9017.060 18034.120 2700.500 5401.000 3293.640 6587.280 3805.340 7610.680 5246.930 10493.860 6816.170 13632.340 8057.470 16114.940 75887.360 91854060.544 183708121.088 ‐8.500 ‐1561519029.248 2.000 1.500 9873.210 14809.815 3077.950 4616.925 3931.900 5897.850 4731.920 7097.880 6218.620 9327.930 7725.130 11587.695 8987.350 13481.025 88243.145 106809502.708 160214254.062 ‐8.000 ‐1281714032.496 3.000 4.000 10930.730 43722.920 4010.030 16040.120 5366.880 21467.520 6692.920 26771.680 7939.720 31758.880 9195.330 36781.320 10252.860 41011.440 111221.045 134621952.868 538487811.472 ‐7.000 ‐3769414680.304 4.000 2.000 11474.350 22948.700 4994.930 9989.860 7143.000 14286.000 8767.260 17534.520 9634.410 19268.820 10395.920 20791.840 11012.170 22024.340 133375.245 161437396.548 322874793.096 ‐6.000 ‐1937248758.576 5.000 4.000 11854.010 47416.040 6374.890 25499.560 9296.570 37186.280 10335.390 41341.560 10825.090 43300.360 11211.350 44845.400 11544.780 46179.120 152003.560 183985109.024 735940436.096 ‐5.000 ‐3679702180.480 6.000 2.000 12113.710 24227.420 9214.040 18428.080 10640.220 21280.440 11320.290 22640.580 11543.680 23087.360 11748.370 23496.740 11934.340 23868.680 167741.605 203034438.692 406068877.384 ‐4.000 ‐1624275509.536 7.000 4.000 12249.070 48996.280 10881.210 43524.840 11603.110 46412.440 12016.880 48067.520 12065.290 48261.160 12134.620 48538.480 12191.850 48767.400 178220.050 215717548.520 862870194.080 ‐3.000 ‐2588610582.240 8.000 2.000 12325.000 24650.000 11478.760 22957.520 12042.190 24084.380 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182758.305 221210652.372 442421304.744 ‐2.000 ‐884842609.488 9.000 4.000 12325.000 49300.000 11477.660 45910.640 12041.080 48164.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 182754.440 221205974.176 884823896.704 ‐1.000 ‐884823896.704 10.000 2.000 12325.000 24650.000 11476.560 22953.120 12039.980 24079.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182750.590 221201314.136 442402628.272 0.000 0.000 11.000 4.000 12325.000 49300.000 11475.460 45901.840 12037.780 48151.120 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 182745.090 221194656.936 884778627.744 1.000 884778627.744 12.000 2.000 12325.000 24650.000 11474.350 22948.700 12036.680 24073.360 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182741.220 221189972.688 442379945.376 2.000 884759890.752 13.000 4.000 12325.000 49300.000 11473.250 45893.000 12035.580 48142.320 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 12325.000 49300.000 182737.370 221185312.648 884741250.592 3.000 2654223751.776 14.000 2.000 12325.000 24650.000 11471.050 22942.100 12034.480 24068.960 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 12325.000 24650.000 182731.320 221177989.728 442355979.456 4.000 1769423917.824 15.000 4.000 12318.400 49273.600 11285.080 45140.320 11921.140 47684.560 12301.890 49207.560 12273.280 49093.120 12298.590 49194.360 12314.000 49256.000 181873.550 220139744.920 880558979.680 5.000 4402794898.400 16.000 2.000 12254.570 24509.140 9648.710 19297.420 10821.790 21643.580 11633.920 23267.840 11813.290 23626.580 11993.770 23987.540 12145.630 24291.260 171940.360 208116611.744 416233223.488 6.000 2497399340.928 17.000 4.000 12139.020 48556.080 6031.550 24126.200 9405.520 37622.080 10799.780 43199.120 11253.170 45012.680 11611.910 46447.640 11916.730 47666.920 156310.720 189198495.488 756793981.952 7.000 5297557873.664 18.000 1.500 11964.050 17946.075 3882.380 5823.570 7350.980 11026.470 9764.260 14646.390 10576.390 15864.585 11148.620 16722.930 11625.120 17437.680 141202.675 170911717.820 256367576.730 8.000 2050940613.840 18.500 2.000 11753.870 23507.740 3150.580 6301.160 6071.160 12142.320 9102.890 18205.780 10124.110 20248.220 10810.790 21621.580 11367.610 22735.220 132555.385 160445038.004 320890076.008 8.500 2727565646.068 19.000 1.000 11336.800 11336.800 2808.340 2808.340 5243.630 5243.630 8358.990 8358.990 9538.670 9538.670 10318.890 10318.890 10929.630 10929.630 123869.015 149931055.756 149931055.756 9.000 1349379501.804 19.500 2.000 10652.320 21304.640 1519.720 3039.440 3386.070 6772.140 6675.310 13350.620 8374.400 16748.800 9374.700 18749.400 10153.820 20307.640 104547.365 126544130.596 253088261.192 9.500 2404338481.324 20.000 0.500 9517.760 4758.880 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 6422.210 3211.105 8520.760 4260.380 38968.480 47167448.192 23583724.096 10.000 235837240.960 sum of the  area  products  of water  plane 0 690827.770 sum of the  area  products  of water  plane 0.5 467441.110 sum of the  area  products  of water  plane 1 544919.620 sum of the  area  products  of water  plane 2 595738.795 sum of the  area  products  of water  plane 3 621093.615 sum of the  area  products  of water  plane 4 650967.470 sum of the  area  products  of water  plane 5 673853.985 10894255806.824 Summation of  moments 7051188637.536 26379532581573.700 LCB 4701.707 Summation  of volume  products 43588123895.528 26379532581573.700 Summation  of  moments  114107042568.499 4752.963 7264.250 1815.600 VCB Distance between two consecutive sections  Distance  between two consecutive waterlines 5.000  Monent about the  keel 0.000 2263739388.878 3958432349.585 23080509555.087 18047117171.055 50440431402.107 16316812701.788 VOLUME levers 0.000 0.500 1.000 2.000 3.000 4.000 Volume products 1672781876.074 4527478777.757 3958432349.585 11540254777.543 6015705723.685 2.000 4.000 1.000 VOLUME 12610107850.527 3263362540.358 SM 0.500 2.000 1.500 4.000 Different totals  Summation of volume functions Water plane area 3345563752.148 2263739388.878 2638954899.723 2885063694.386 3007852861.843 3152526962.632 3263362540.358 moments about  amidship 0.500 2.000 1.500 4.000 2.000 4.000 1.000 Area  products for  Sectional area  below waterline Volume function  levers Table 6. Waterplane area, Displacement, LCB VCB calculation for WL‐06 Water planes 0.000 0.500 1.000 2.000 3.000 4.000 5.000 Ship Design & Project Page 30
  • 41. LCF and BML calculation for WL 0.5   TO 5 Y y´sm (y´sm) x (y´sm) x2 y y´sm (y´sm) x (y´sm) x2 y y´sm (y´sm) x (y´sm) x2 y y´sm (y´sm) x (y´sm) x2 y y´sm (y´sm) x (y´sm) x2 Y y´sm (y´sm) x (y´sm) x2 Y y´sm (y´sm) x (y´sm) x2 0.0000 0.5000 ‐10.0000 0.0000 0.0000 0.0000 0.0000 1836.6500 918.3250 ‐9183.2500 91832.5000 2119.4600 1059.7300 ‐10597.3000 105973.0000 3.3000 1.6500 ‐16.5000 165.0000 1421.7800 710.8900 ‐7108.9000 71089.0000 3017.4200 1508.7100 ‐15087.1000 150871.0000 4439.20000 2219.60000 ‐22196.00000 221960.00000 0.5000 2.0000 ‐9.5000 967.2900 1934.5800 ‐18378.5100 174595.8450 2266.9200 4533.8400 ‐43071.4800 409179.0600 2512.3200 5024.6400 ‐47734.0800 453473.7600 2462.8000 4925.6000 ‐46793.2000 444535.4000 4084.8600 8169.7200 ‐77612.3400 737317.2300 5325.0600 10650.1200 ‐101176.1400 961173.3300 6437.61000 12875.22000 ‐122314.59000 1161988.60500 1.0000 1.0000 ‐9.0000 1202.7900 1202.7900 ‐10825.1100 97425.9900 2445.1900 2445.1900 ‐22006.7100 198060.3900 2818.2400 2818.2400 ‐25364.1600 228277.4400 4035.3400 4035.3400 ‐36318.0600 326862.5400 5659.6000 5659.6000 ‐50936.4000 458427.6000 6863.4800 6863.4800 ‐61771.3200 555941.8800 7884.70000 7884.70000 ‐70962.30000 638660.70000 1.5000 2.0000 ‐8.5000 1275.4200 2550.8400 ‐21682.1400 184298.1900 2700.5000 5401.0000 ‐45908.5000 390222.2500 3293.6400 6587.2800 ‐55991.8800 475930.9800 5246.9300 10493.8600 ‐89197.8100 758181.3850 6816.1700 13632.3400 ‐115874.8900 984936.5650 8057.4700 16114.9400 ‐136976.9900 1164304.4150 9017.06000 18034.12000 ‐153290.02000 1302965.17000 2.0000 1.5000 ‐8.0000 1492.2100 2238.3150 ‐17906.5200 143252.1600 3077.9500 4616.9250 ‐36935.4000 295483.2000 3931.9000 5897.8500 ‐47182.8000 377462.4000 6218.6200 9327.9300 ‐74623.4400 596987.5200 7725.1300 11587.6950 ‐92701.5600 741612.4800 8987.3500 13481.0250 ‐107848.2000 862785.6000 9873.21000 14809.81500 ‐118478.52000 947828.16000 3.0000 4.0000 ‐7.0000 1886.1700 7544.6800 ‐52812.7600 369689.3200 4010.0300 16040.1200 ‐112280.8400 785965.8800 5366.8800 21467.5200 ‐150272.6400 1051908.4800 7939.7200 31758.8800 ‐222312.1600 1556185.1200 9195.3300 36781.3200 ‐257469.2400 1802284.6800 10252.8600 41011.4400 ‐287080.0800 2009560.5600 10930.73000 43722.92000 ‐306060.44000 2142423.08000 4.0000 2.0000 ‐6.0000 2406.6800 4813.3600 ‐28880.1600 173280.9600 4994.9300 9989.8600 ‐59939.1600 359634.9600 7143.0000 14286.0000 ‐85716.0000 514296.0000 9634.4100 19268.8200 ‐115612.9200 693677.5200 10395.9200 20791.8400 ‐124751.0400 748506.2400 11012.1700 22024.3400 ‐132146.0400 792876.2400 11474.35000 22948.70000 ‐137692.20000 826153.20000 5.0000 4.0000 ‐5.0000 3733.8100 14935.2400 ‐74676.2000 373381.0000 6374.8900 25499.5600 ‐127497.8000 637489.0000 9296.5700 37186.2800 ‐185931.4000 929657.0000 10825.0900 43300.3600 ‐216501.8000 1082509.0000 11211.3500 44845.4000 ‐224227.0000 1121135.0000 11544.7800 46179.1200 ‐230895.6000 1154478.0000 11854.01000 47416.04000 ‐237080.20000 1185401.00000 6.0000 2.0000 ‐4.0000 6104.1800 12208.3600 ‐48833.4400 195333.7600 9214.0400 18428.0800 ‐73712.3200 294849.2800 10640.2200 21280.4400 ‐85121.7600 340487.0400 11543.6800 23087.3600 ‐92349.4400 369397.7600 11748.3700 23496.7400 ‐93986.9600 375947.8400 11934.3400 23868.6800 ‐95474.7200 381898.8800 12113.71000 24227.42000 ‐96909.68000 387638.72000 7.0000 4.0000 ‐3.0000 8445.9300 33783.7200 ‐101351.1600 304053.4800 10881.2100 43524.8400 ‐130574.5200 391723.5600 11603.1100 46412.4400 ‐139237.3200 417711.9600 12065.2900 48261.1600 ‐144783.4800 434350.4400 12134.6200 48538.4800 ‐145615.4400 436846.3200 12191.8500 48767.4000 ‐146302.2000 438906.6000 12249.07000 48996.28000 ‐146988.84000 440966.52000 8.0000 2.0000 ‐2.0000 9428.6300 18857.2600 ‐37714.5200 75429.0400 11478.7600 22957.5200 ‐45915.0400 91830.0800 12042.1900 24084.3800 ‐48168.7600 96337.5200 12325.0000 24650.0000 ‐49300.0000 98600.0000 12325.0000 24650.0000 ‐49300.0000 98600.0000 12325.0000 24650.0000 ‐49300.0000 98600.0000 12325.00000 24650.00000 ‐49300.00000 98600.00000 9.0000 4.0000 ‐1.0000 9427.5200 37710.0800 ‐37710.0800 37710.0800 11477.6600 45910.6400 ‐45910.6400 45910.6400 12041.0800 48164.3200 ‐48164.3200 48164.3200 12325.0000 49300.0000 ‐49300.0000 49300.0000 12325.0000 49300.0000 ‐49300.0000 49300.0000 12325.0000 49300.0000 ‐49300.0000 49300.0000 12325.00000 49300.00000 ‐49300.00000 49300.00000 10.0000 2.0000 0.0000 9426.4200 18852.8400 0.0000 0.0000 11476.5600 22953.1200 0.0000 0.0000 12039.9800 24079.9600 0.0000 0.0000 12325.0000 24650.0000 0.0000 0.0000 12325.0000 24650.0000 0.0000 0.0000 12325.0000 24650.0000 0.0000 0.0000 12325.00000 24650.00000 0.00000 0.00000 11.0000 4.0000 1.0000 9425.3200 37701.2800 37701.2800 37701.2800 11475.4600 45901.8400 45901.8400 45901.8400 12037.7800 48151.1200 48151.1200 48151.1200 12325.0000 49300.0000 49300.0000 49300.0000 12325.0000 49300.0000 49300.0000 49300.0000 12325.0000 49300.0000 49300.0000 49300.0000 12325.00000 49300.00000 49300.00000 49300.00000 12.0000 2.0000 2.0000 9423.1200 18846.2400 37692.4800 75384.9600 11474.3500 22948.7000 45897.4000 91794.8000 12036.6800 24073.3600 48146.7200 96293.4400 12325.0000 24650.0000 49300.0000 98600.0000 12325.0000 24650.0000 49300.0000 98600.0000 12325.0000 24650.0000 49300.0000 98600.0000 12325.00000 24650.00000 49300.00000 98600.00000 13.0000 4.0000 3.0000 9422.0200 37688.0800 113064.2400 339192.7200 11473.2500 45893.0000 137679.0000 413037.0000 12035.5800 48142.3200 144426.9600 433280.8800 12325.0000 49300.0000 147900.0000 443700.0000 12325.0000 49300.0000 147900.0000 443700.0000 12325.0000 49300.0000 147900.0000 443700.0000 12325.00000 49300.00000 147900.00000 443700.00000 14.0000 2.0000 4.0000 9420.9200 18841.8400 75367.3600 301469.4400 11471.0500 22942.1000 91768.4000 367073.6000 12034.4800 24068.9600 96275.8400 385103.3600 12325.0000 24650.0000 98600.0000 394400.0000 12325.0000 24650.0000 98600.0000 394400.0000 12325.0000 24650.0000 98600.0000 394400.0000 12325.00000 24650.00000 98600.00000 394400.00000 15.0000 4.0000 5.0000 9078.6800 36314.7200 181573.6000 907868.0000 11285.0800 45140.3200 225701.6000 1128508.0000 11921.1400 47684.5600 238422.8000 1192114.0000 12273.2800 49093.1200 245465.6000 1227328.0000 12298.5900 49194.3600 245971.8000 1229859.0000 12314.0000 49256.0000 246280.0000 1231400.0000 12318.40000 49273.60000 246368.00000 1231840.00000 16.0000 2.0000 6.0000 6083.2700 12166.5400 72999.2400 437995.4400 9648.7100 19297.4200 115784.5200 694707.1200 10821.7900 21643.5800 129861.4800 779168.8800 11813.2900 23626.5800 141759.4800 850556.8800 11993.7700 23987.5400 143925.2400 863551.4400 12145.6300 24291.2600 145747.5600 874485.3600 12254.57000 24509.14000 147054.84000 882329.04000 17.0000 4.0000 7.0000 3136.2700 12545.0800 87815.5600 614708.9200 6031.5500 24126.2000 168883.4000 1182183.8000 9405.5200 37622.0800 263354.5600 1843481.9200 11253.1700 45012.6800 315088.7600 2205621.3200 11611.9100 46447.6400 325133.4800 2275934.3600 11916.7300 47666.9200 333668.4400 2335679.0800 12139.02000 48556.08000 339892.56000 2379247.92000 18.0000 1.5000 8.0000 1941.1900 2911.7850 23294.2800 186354.2400 3882.3800 5823.5700 46588.5600 372708.4800 7350.9800 11026.4700 88211.7600 705694.0800 10576.3900 15864.5850 126916.6800 1015333.4400 11148.6200 16722.9300 133783.4400 1070267.5200 11625.1200 17437.6800 139501.4400 1116011.5200 11964.05000 17946.07500 143568.60000 1148548.80000 18.5000 2.0000 8.5000 1572.5400 3145.0800 26733.1800 227232.0300 3150.5800 6301.1600 53559.8600 455258.8100 6071.1600 12142.3200 103209.7200 877282.6200 10124.1100 20248.2200 172109.8700 1462933.8950 10810.7900 21621.5800 183783.4300 1562159.1550 11367.6100 22735.2200 193249.3700 1642619.6450 11753.87000 23507.74000 199815.79000 1698434.21500 19.0000 1.0000 9.0000 1378.8600 1378.8600 12409.7400 111687.6600 2808.3400 2808.3400 25275.0600 227475.5400 5243.6300 5243.6300 47192.6700 424734.0300 9538.6700 9538.6700 85848.0300 772632.2700 10318.8900 10318.8900 92870.0100 835830.0900 10929.6300 10929.6300 98366.6700 885300.0300 11336.80000 11336.80000 102031.20000 918280.80000 19.5000 2.0000 9.5000 0.0000 0.0000 0.0000 0.0000 1519.7200 3039.4400 28874.6800 274309.4600 3386.0700 6772.1400 64335.3300 611185.6350 8374.4000 16748.8000 159113.6000 1511579.2000 9374.7000 18749.4000 178119.3000 1692133.3500 10153.8200 20307.6400 192922.5800 1832764.5100 10652.32000 21304.64000 202394.08000 1922743.76000 20.0000 0.5000 10.0000 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 6422.2100 3211.1050 32111.0500 321110.5000 8520.7600 4260.3800 42603.8000 426038.0000 9517.76000 4758.88000 47588.80000 475888.00000 338171.5700 217880.3600 5368044.5150 467441.1100 232978.6600 9245139.2500 544919.6200 342106.5400 12436169.8650 621093.6150 454293.2100 16442736.6900 650967.4700 391913.9800 18462848.3700 673853.9850 324081.4700 19950994.6500 690827.77000 263241.08000 21047197.69000 7264.2500 7264.2500 7264.2500 7264.2500 7264.2500 7264.2500 7264.25000 1789841399620.8600 4034148516663.2300 9125563784509.7800 16627781956884.6000 20060923858085.1000 25862735597882.3000 26379532581573.70000 1637708551.5817 2263739388.8783 2638954899.7233 3007852861.8425 3152526962.6317 3263362540.3575 3345563752.14833 4680.2793 3620.5956 4560.5762 5313.3688 4373.4307 3493.6483 2768.05464 1371820206955970000.0000 2362623633956900000.0000 3178101275105360000.0000 4201991691009340000.0000 4718237414230910000.0000 5098537751179650000.0000 5378675793440010000.00000 1335946177390210000.0000 2332948924968400000.0000 3123214034803340000.0000 4117074325110890000.0000 4657939358127880000.0000 5058706524063740000.0000 5353041660758410000.00000 746404.7807 578300.2077 342248.8855 247602.1357 232189.6734 195598.2771 202924.05274  Tons Per Inch Immersion (TPI) 3899306.075 5389855.688 6283225.952 7161554.433 7506016.578 7769910.81 7965627.98131  Moment to change trim 1 inch 7.66305E+11 1.33819E+12 1.79149E+12 2.36157E+12 2.67182E+12 2.9017E+12 3070531422516.53000 1.0000 2.0000 3.0000 4.0000 5.0000 Distance between two sections h= Displacement  Sectio SM Lever s  from  amids ips (x) 0.5000 from previous calculation ship's length in mm = 145280 6.00000 Water plane Area Longitudinal Metacenter  BML LCF from Amidship Moment of inertia about the amidship  Moment of inertia about the LCF TOTALS Section SM y y3  y3   X SM y y3  y3  X SM y y3  y3  X SM y y3  y3  X SM y y3  y3  X SM y y3 y3  X SM y y3 y3  X SM 0.00000 0.50000 0.00000 0.00000 0.00000 1836.65000 6195540630.60463 3097770315.30231 1554.93000 3759521112.60816 1879760556.30408 3.30000 35.93700 17.96850 1421.78000 2874069079.02375 1437034539.51188 3017.42000 27473076393.81050 13736538196.90520 4439.200000 87481079884.288000 43740539942.144000 0.50000 2.00000 967.29000 905044834.42849 1810089668.85698 2266.92000 11649534777.16590 23299069554.33180 2134.87000 9730032775.49230 19460065550.98460 2462.80000 14937827321.15200 29875654642.30400 4084.86000 68160305730.69530 136320611461.39100 5325.06000 150998807195.01000 301997614390.02100 6437.610000 266792728632.120000 533585457264.240000 1.00000 1.00000 1202.79000 1740080844.47764 1740080844.47764 2445.19000 14619678864.05040 14619678864.05040 2890.87000 24159374543.98150 24159374543.98150 4035.34000 65711351123.87730 65711351123.87730 5659.60000 181283055996.73600 181283055996.73600 6863.48000 323320407498.17600 323320407498.17600 7884.700000 490179925351.423000 490179925351.423000 1.50000 2.00000 1275.42000 2074720837.30409 4149441674.60818 2700.50000 19693937025.12500 39387874050.25000 3805.34000 55103654030.11330 110207308060.22700 5246.93000 144449422788.24100 288898845576.48100 6816.17000 316680440593.51200 633360881187.02400 8057.47000 523113697033.56800 1046227394067.14000 9017.060000 733153443142.404000 1466306886284.810000 2.00000 1.50000 1492.21000 3322690105.72086 4984035158.58129 3077.95000 29159809462.48490 43739714193.72730 4731.92000 105952737221.09400 158929105831.64100 6218.62000 240481713557.47600 360722570336.21400 7725.13000 461017477010.41000 691526215515.61500 8987.35000 725930368583.21500 1088895552874.82000 9873.210000 962443232884.477000 1443664849326.720000 3.00000 4.00000 1886.17000 6710308687.48111 26841234749.92450 4010.03000 64482648219.82700 257930592879.30800 6692.92000 299810543585.74500 1199242174342.98000 7939.72000 500513229243.46600 2002052916973.86000 9195.33000 777502795423.79200 3110011181695.17000 10252.86000 1077792312796.09000 4311169251184.38000 10930.730000 1306013002605.180000 5224052010420.720000 4.00000 2.00000 2406.68000 13939751979.35760 27879503958.71530 4994.93000 124620135443.17600 249240270886.35200 8767.26000 673894106466.38500 1347788212932.77000 9634.41000 894283818128.37500 1788567636256.75000 10395.92000 1123540640899.76000 2247081281799.53000 11012.17000 1335422599396.19000 2670845198792.37000 11474.350000 1510721043950.540000 3021442087901.080000 5.00000 4.00000 3733.81000 52054303937.46530 208217215749.86100 6374.89000 259070573200.16100 1036282292800.64000 10335.39000 1104029320394.17000 4416117281576.68000 10825.09000 1268511904656.80000 5074047618627.19000 11211.35000 1409203561898.14000 5636814247592.54000 11544.78000 1538710735864.82000 6154842943459.29000 11854.010000 1665696479387.040000 6662785917548.140000 6.00000 2.00000 6104.18000 227447933217.95500 454895866435.90900 9214.04000 782258480123.74700 1564516960247.49000 11320.29000 1450683454744.06000 2901366909488.12000 11543.68000 1538270947351.72000 3076541894703.45000 11748.37000 1621559343026.39000 3243118686052.79000 11934.34000 1699789801405.87000 3399579602811.74000 12113.710000 1777589668973.820000 3555179337947.630000 7.00000 4.00000 8445.93000 602479720327.79600 2409918881311.18000 10881.21000 1288343218862.00000 5153372875447.98000 12016.88000 1735302422448.09000 6941209689792.37000 12065.29000 1756359018544.77000 7025436074179.10000 12134.62000 1786810691255.33000 7147242765021.31000 12191.85000 1812211292522.16000 7248845170088.63000 12249.070000 1837846982409.270000 7351387929637.080000 8.00000 2.00000 9428.63000 838196378755.92900 1676392757511.86000 11478.76000 1512463584665.04000 3024927169330.07000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 3744473656250.00000 12325.000000 1872236828125.000000 3744473656250.000000 9.00000 4.00000 9427.52000 837900379723.56300 3351601518894.25000 11477.66000 1512028811958.85000 6048115247835.40000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.00000 1872236828125.00000 7488947312500.00000 12325.000000 1872236828125.000000 7488947312500.000000 10.00000 2.00000 9426.42000 837607116104.07300 1675214232208.15000 11476.56000 1511594122580.48000 3023188245160.95000 12325.00000 1872236828125.00000 3744473656250.00000 12325.00000 1872236828125.00000 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2.00000 0.00000 0.00000 0.00000 1519.72000 3509867621.48205 7019735242.96410 6675.31000 297450235530.68200 594900471061.36500 8374.40000 587301490294.78400 1174602980589.57000 9374.70000 823895510343.72300 1647791020687.45000 10153.82000 1046859457244.32000 2093718914488.65000 10652.320000 1208739217580.170000 2417478435160.330000 20.00000 0.50000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 6422.21000 264882646810.56000 132441323405.28000 8520.76000 618635728875.89500 309317864437.94800 9517.760000 862192515003.417000 431096257501.708000 23472530230663.40000 47210274522593.50000 74283736432973.40000 79441460066229.10000 85111783314215.90000 90828719411934.10000 95671716527804.000000 7264.25000 7264.25000 7264.25000 7264.25000 7264.25000 7264.25000 7264.250000 1789841399620.86000 4034148516663.23000 9125563784509.78000 16627781956884.60000 20060923858085.10000 25862735597882.30000 26379532581573.700000 37891183939577000.00000 76210497044611100.00000 119914584974050000.00000 128240583619134000.00000 137394060431176000.00000 146622783330698000.00000 154440725952689000.000000 21170.13493 18891.34640 13140.51250 7712.42875 6848.84013 5669.26816 5854.566432 BMT Calculation  5.00000 Water lines above base line Water lines above base line Water lines above base line Water lines above base line Water lines above base line Water lines above base line 0.50000 1.00000 2.00000 3.00000 4.00000 Summation of y3 x SM Distance between two stations  H H H H H displacement of ship For waterplane 0.5 For waterplane 01 For waterplane 2 for waterplane 3 For waterplane 4 For waterplane 5 H I BMT I Transverse metacentric height  BMT BMT BMT BMT BMT BMT Moment of inertia I III I Water lines above base line 6.000000 H For waterplane 5 Ship Design & Project Page 31
  • 42. Hydrostatic Curves Fig 4.1 : Hydrostatic curves Ship Design & Project Page 32
  • 43. Chapter 5 Scantling Calculation Ship Design & Project Page 33
  • 44. Chapter 5 Scantling Calculation Table 5.1: Framing System Ship Design & Project Page 34 5.1 Type of Framing System [3]
  • 45. 5.1.1 Strength/weather Deck Plating The greater of the following: (1) t = 0,00083s1 (Lk)0.5 + 2,5= 0.00083 ×700(132×0.78)0.5 +2.5=8.25 (2) t = 0,00083s1 (Lk)0.5 + 2,5=0.00083 ×700(132×0.75)0.5 +2.5=8.25 (3) t = taken as (1) Table 5.2 Strength/weather Deck Plating Ship Design & Project Page 35 LLOYD’S REGISTER Location Minimum thickness, in mm, see also 4.2.1 Longitudinal framing Transverse framing (1) Outside line of openings (see Notes 1 and 2) The greater of the following: (a) t = 0,001s1 (0,059L1 + 7) FD kL (b) t = 0,00083s1 Lk + 2,5 Lk + 2,5t = 0,00083s1 but not less than 6,5 t = 0,004sf ρkh4 + 3,5 1,025 or as (1) or (2), whichever is the greater, but not less than 7,5 mm where L ≥ 90 m, or 6,5 mm where L < 90 m t = 0,00083s1 Lk + 1,5 but not less than 6,5 The greater of the following: (a) t = 0,001s1 f1 (0,083L1 + 10) FD kL (b) t = 0,001s1 Lk + 2,5 (2) Inside line of openings (see Note 2) (3) In way of the crown of a tank Symbols f = 1,1 – L, kL, k, ρ, s, S as defined in 1.5.1 s but not to be taken greater than 1,0 2500S f1 = 1 1 +( s )2 1000S h4 = tank head, in metres, as defined in Pt 3, Ch 3,5 s1 = s but is not to be taken less than the smaller of 470 + L mm or 700 mm 0,6 FD = as defined in Pt 3, Ch 4,5.7 L1 = L but need not be taken greater than 190 m
  • 46. 5.1.2 Lower Deck Plating (1) T1= 0.012s1√𝑘𝑘 (2) T2= 0.01s1√𝑘𝑘 = 0.012×700×√0.78=7.5 mm =6.2 mm (3) t = 0,004sf √( þkh4 1.025 1.025 ) + 3.5 = 0.004×700√ 1.025×0.22×22.3 + 3.5 = 15.6 (4) t = 0,004sf √( pkh4 1.025 ) + 2.5 = 14.6 (5) t= √ 1.8𝑘𝑘 =(66.3/(1.8×0.78))0.5 = 6.87 Table 5.3 Lower Deck Plating Ship Design & Project Page 36 t = 0,004sf ρkh4 + K11,025 but not less than 7,5 where L ≥ 90 m, or 6,5 where L < 90 m t = 0,01s1 k but not less than 6,5 Minimum thickness, in mm In way of deck openings, t = 1,1 1,8k Minimum breadth, b = 760 mm Second deck t = 0,012s1 k but not less than 6,5 Clear of deck openings, t = t = 0,01s1 k but not less than 6,5 Third or platform decks LocationSymbols (1) Outside line of openings (2) Inside line of openings (3) In way of the crown or bottom of a tank (4) Plating forming the upper flange of underdeck girders s, S, k, ρ as defined in 1.5.1 b = breadth of increased plating, in mm f = 1,1 – s but not to be taken 2500S greater than 1,0 h4 = tank head, in metres, as defined in Pt 3, Ch 3,5 s1 = s but is not to be taken less than the smaller of 470 + L mm 0,6 or 700 mm Af = girder face area, in cm2 K1= 2,5 mm at bottom of tank = 3,5 mm at crown of tank NOTE Where a deck loading exceeds 43,2 kN/m2 (4,4 tonne-f/m2), the thickness of plating will be specially considered. Af 1,8k Af
  • 47. 5.1.3 Strength/Weather Deck Longitudinals Z = 0. 043skhT1le2F1= 0.043 × 700 × 0.78 × 1.88 × 0.148 × (3.35)2 C1= 60 225−165×0.67 = 73.31 cm3 5.1.4 Cargo and Accommodation Deck Longitudinals Z = sk(5.9L1+25h2le 2 )×10-4 = 700× 0.78 (5.9×132 + 25×1.39(3.75)2 )×10-4 = 64.33 Table 5.4: Strength/Weather Deck Longitudinals Table 5.5: Cargo and Accommodation Deck Longitudinals Page 37 Symbols Location Inertia, in cm4Modulus, in cm3 L, s, kL, k, ρ as defined in 1.5.1 b =1,4 for rolled or built sections = 1,6 for flat bars c1 = dw = depth of longitudinal, in mm F1 = 0,25c1 h1 = weather head, in metres, as defined in Pt 3, Ch 3,5 h4 = tank head, in metres, as defined in Pt 3, Ch 3,5 le = as defined in 1.5.1, but not to be taken less than 1,5 m FD = as defined in Pt 3, Ch 4,5.7 hT1 = for Type ‘B–60’ ships or 1,20 m= the greater of 70 for Type ‘B’ ships L1 = L but need not be taken greater than 190 m L2 = L but need not be taken greater than 215 m L1 L1 56 60 225 – 165 FD (1) In way of dry cargo spaces, see Note 1 (a) Outside line of openings (b) Inside line of openings (2) In way of the crown or bottom of a tank (3) In way of superstructure To be specially considered Z = 0,043 s k hT1 le 2 F1 Z = s k (400h1 + 0,005 (le L2)2) x 10–4 Z = or as (1)(a) or (1)(b) above, whichever is the greater 0,0113 ρ sk h4 le 2 b –– –– –– NOTES 1. Where weather decks are intended to carry deck cargo and the load is in excess of 8,5 kN/m2 (0,865 tonne-f/m2), the scantlings of longitudinals may be required to be increased to comply with the requirements for location (1) Table 1.4.4 using the equivalent design head, for specified cargo loading, for weather decks given in Table 3.5.1 in Pt 3, Ch 3. 2. The buckling requirements of Pt 3, Ch 4,7 are to be complied with. The ratio of the web depth dw to web thickness t is to comply with the following requirements: (a) ≤ 60 kL (b) ≤ 18 kL when continuous at bulkheads ≤ 15 kL when non-continuous at bulkheads 3. The web depth of longitudinals, dw is to be not less than 60 mm. dw t Flat bars: dw t Built up profiles and rolled angles: dw t I = le Z 2,3 k Symbols Location Inertia, in cm4Modulus, in cm3 L, s, k, ρ as defined in 1.5.1 dw = web depth of longitudinal, in mm, see Note 2 h2 = cargo head, in metres, as defined in Pt 3, Ch 3,5 h3 = accommodation head, in metres, as defined in Pt 3, Ch 3,5 h4 = tank head, in metres, as defined in Pt 3, Ch 3,5 le = as defined in 1.5.1, but not to be taken less than 1,5 m L1 = L but need not be taken greater than 190 m γ = 1,4 for rolled or built sections = 1,6 for flat bars (1) Cargo decks (a) L ≥ 90 m (b) L < 90 m (2) Accommodation decks (a) L ≥ 90 m (b) L < 90 m (3) In way of the crown or bottom of a tank As in (1) or (2) as applicable, or Z = 0,0113ρ s k h4 le 2 γ whichever is the greater Z = sk (5,9L1 + 25h2 le 2) x 10–4 Z = 0,005s k h2 le 2 Z = sk (5,1L1 + 25h3 le 2) x 10–4 Z = 0,00425s k h3 le 2 See Note 1 –– –– –– –– I = 2,3 leZ k NOTES 1. The section modulus of accommodation deck longitudinals need not be taken greater than the value required by location (1)(a), in Table 1.4.3. 2. The web depth of longitudinals, dw, to be not less than 60 mm.
  • 48. Z = sk(5.1L1+25h3le 2 )×10-4 =700× 0.78 (5.1×132 + 25×1.39(3.75)2 )×10-4 =51.56 5.1.5 Strength/Weather,Cargo and Accommodation Deck Beam Ship Design & Project Page 38 Z = (k1k2TD+K3B1sh1le 2 )k × 10-4 =(20×133×8.25×11.3+3.6×22.3×1.8×(3.75)2 )×0.78×10-4 =19.5 cm3 Z = (400k1TD+38.8h2le 2 )k × 10-4 = (400×20×8.25×11.3+38.3×1.8×(3.75)2 )×0.78×10-4 =58.24 cm3 Table 5.6: Strength/Weather,Cargo and Accommodation Deck Beam Symbols Location Inertia, in cm4Modulus, in cm3 B, D, T, s, k, ρ as defined in 1.5.1 dw = depth of beam, in mm h1 = weather deck head h2 = cargo head h3 = accommodation head h4 = tank head le as defined in 1.5.1, but to be taken as not less than 1,83 m B1 = B, but need not be taken greater than 21,5 m K1 = a factor dependent on the number of decks (including poop and bridge superstructures) at the position of the beam under consideration: 1 deck 20,0 3 decks 10,5 2 decks 13,3 4 or more 9,3 K2 = a factor dependent on the location 133 of the beam: at short bridge and poops elsewhere 530 K3 = a factor dependent on the location of the beam: span adjacent to the ship side 3,6 elsewhere 3,3 γ = 1,4 for rolled or built sections = 1,6 for flat bars (1) Strength/weather decks (2) Cargo decks (3) Accommodation decks (4) In way of the crown or bottom of a tank As (1), (2) or (3) as applicable, or Z = 0,0113ρ s k h4 le 2 γ whichever is the greater The lesser of the following: (a) Z = (K1 K2 T D + K3 B1 s h1 le 2) k x 10–4 (b) Z = 2K3 B1 s k h1 le 2 x 10–4 Z = (400K1 T D + 38,8s h2 le 2) k x 10–4 Z = (530K1 T D + 38,8s h3 le 2) k x 10–4 –– –– –– I = 2,3 leZ k NOTES 1. Where weather decks are intended to carry deck cargo and the load is in excess of 8,5 kN/m2 (0,865 tonne-f/m2), the scantlings of beams may be required to be increased to comply with the requirements for location (2) using the equivalent design head, for specified cargo loading, for weather decks given in Table 3.5.1 in Pt 3, Ch 3. 2. The web depth of beams, dw, is to be not less than 60 mm. in metres, see Pt 3, Ch 3,5}
  • 49. Ship Design & Project Page 39 Table 5.1.6 Deck girders, transverses and hatch beams Location and arrangements Modulus, in cm3 Inertia, in cm4 (1) Girders and transverses in way of dry cargo spaces and clear of hatch openings: (a) supporting up to three point loads (b) supporting four or more point loads or a uniformly distributed load (2) Hatch side girders in way of dry cargo spaces at weather decks (with deep coamings): (a) supporting up to three point loads (b) supporting four or more point loads or a uniformly distributed load (3) Hatch side girders in way of dry cargo spaces at lower decks (without deep coamings): (a) supporting up to three point loads (b) supporting four or more point loads or a uniformly distributed load (4) Hatch end beams in way of dry cargo spaces and supported at centreline, see Fig. 1.4.1: (a) (b) (c) (d) In association with longitudinal framing when there is no transverse between the hatch end beam and adjacent transverse bulkhead or equivalent supporting structure In association with longitudinal framing where there is one or more transverse between the hatch end beam and adjacent transverse bulkhead or equiva- lent supporting structure In association with transverse framing when the hatch end beam supports the hatch side girder and in line girder only In association with transverse framing when the hatch end beam supports the hatch side girder, an in line girder and an additional girder between the hatch side and the centreline (5) Girders and transverses in way of the crown or bottom of a tank See also Note Z to be determined from calculations using Note and stress 123,5 N/mm2 (12,6 kgf/mm2 )and kk assuming fixed ends Z = 4,75k S Hg le 2 Z to be determined from calculations using Note and stress 100,4 N/mm2 (10,25 kgf/mm2 )and kk assuming fixed ends Z = 5,85k S1 Hg le 2 Z to be determined from calculations using stress 112,5 N/mm2 (11,5 kgf/mm2 )kk Z = 5,20k S1 Hg le 2 Z = 19k K1 Hg le S1 l1 + 2,37k SeHg le 2 Z = 19k K1 Hg le (S1 l1 + S2 l2) Z = 19k K1 Hg le (S1 l1 + S3 l3) Z = 19k Hg le (K1 (S1 l1 + S4 l4) + K2 S5 l5) Z = 11,7ρ k h4 S le 2 Symbols S, le, k, ρ as defined in 1.5.1 h4 = tank head, in metres, as defined in Pt 3, Ch 3,5 l1, l2, l3, l4, l5, in metres, as indicated in Fig. 1.4.1 Bh = breadth of hatchway, in metres, as used to determine K1 Hg = weather head h1, or cargo head h2, or accommodation head h3, in metres, as defined in Pt 3, Ch 3,5, whichever is applicable K1, K2 = factors, dependent on the girder arrangements, as follows: Bh or X K1 or K22le le 0,2 0,143 0,3 0,177 0,4 0,191 0,5 0,187 0,6 0,179 0,7 0,169 0,8 0,141 0,9 0,085 1,0 0,000 Se,S1,S2,S3,S4,S5, in metres as indicated in Fig. 1.4.1 X = distance, in metres, from centreline of ship to an additional girder, if fitted, as shown in Fig. 1.4.1, as used to determine K2 I = 1,85 leZ k I = 1,85 leZ k I = 2,8 leZ k I = 2,8 leZ k I = 2,3 leZ k
  • 50. z= 19k1Hgles1l1 + 2.37kseHgle 2 = 15893.2 cm3 Hg=h1 =1.8 Le = 3.75 Bh =0.65B =14.49 𝐵𝐵ℎ 2𝑙𝑙𝑙𝑙 = 1.8 > 1 K1 =0 Ship Design & Project Page 40 z= 5.8 ×ks1Hg le 2 = 40079 cm3
  • 51. 5.1.6 Bar and Plate Keels A = 1.8 L -16 cm2 = (1.8× 132 -16) cm2 = 221.6 cm2 T = 0.6L + 8 mm= 87 mm B = 70B = 70 × 22.3 mm = 1561 mm T = t1 +2 = 87+ 2 =89 mm Table 5.7: Bar and Plate Keels Ship Design & Project Page 41 Item and parameter Requirement (1) Bar keels: Cross-sectional area Thickness (2) Plate keels: Breadth Thickness A = (1,8L – 16) cm2 t = (0,6L + 8) mm b = 70B mm but need not exceed 1800 mm and is not to be less than 750 mm t = (t1 + 2) mm where t1 is as in location (1) in Table 1.5.2, using the spacing in way of the keel plate t is to be taken not less than the adjacent bottom shell thickness Symbols L, B as defined in 1.5.1 b = breadth of keel, in mm t = thickness of keel, in mm A = cross-sectional area, in cm2
  • 52. 5.1.7 Bottom Shell and Bilge Plating = 9.51 HT2 = 1.2T =9.9 Fb = 0.67 Table 5.8 Bottom Shell and Bilge Plating Ship Design & Project Page 42 The greater of the following: (a) t = 0,001s1f1 (0,056L1 + 16,7) (see Note 4) (b) t = 0,0063s1 hT2k 1,8 – FB t as for (1) FB kL Provided that transverses or adequate bilge brackets are spaced not more than 8t2 t x 106 mm apart DRB t = RBFB RB but is to be not less than the adjacent bottom plating 165kL Minimum thickness, in mm, see also 5.3.1 Longitudinal framing Transverse framing The greater of the following: (a) t = 0,001s1 (0,043L1 + 10) (see Note 4) (b) t = 0,0052s1 hT2k 1,8 – FB t as for (1) FB kL Location Symbols L, D, T, s, S, kL, k as defined in 1.5.1 Cw is as defined in 1.5.1. Where L > 227 m, Cw is not to be taken less than 6,446 m f1 = hT2 = (T + 0,5 Cw), in metres but need not be taken greater than 1,2T m s1 = s, but is not to be taken less than the smaller of + 0,6 470470 + FB = as defined in Pt 3, Ch 4,5.7 L1 = L but need not be taken greater than 190 m RB = bilge radius, in mm, see Note 3 L 1 1 + s 2 (1000S) NOTES 1. The thickness derived in accordance with (1) is also to satisfy the buckling requirements of Pt 3, Ch 4,7. 2. The thickness of bottom shell or bilge plating is to be not less than the basic shell end thickness for taper as given in Pt 3, Ch 5,3 and Ch 6,3. 3. Where longitudinally framed and the lowest side longitudinal lies a distance a mm above the uppermost turn of bilge and/or the outer- most bottom longitudinal lies a distance b inboard of the lower turn of bilge, the bilge radius is to be taken as RB + mm. In no case is a or b to be greater than s. 4. Where separate maximum sagging and hogging still water bending moments are assigned, FB may be based on the hogging moment. (a + b) 2 (1) Bottom plating, see Notes 1 and 2 (3) Bilge plating – where unframed, see Note 3 (2) Bilge plating – where framed, see Notes 1 and 2 (b) t = 0,0052s1 hT2k 1,8 – FB
  • 53. 5.1.8 Side shell Plating Table 5.9: Side shell Plating Ship Design & Project Page 43 Thickness, in mm, see also 5.4.1 Transverse framingLongitudinal framing Location The greater of the following: (i) t = 0,001s1 (0,059L1 + 7) (ii) t = 0,00083s1 Lk + 2,5 but t is to be not less than the thickness of the adjacent side plating FD kL The greater of the following: (i) t = 0,001s1 f1 (0,083L1 + 10) (ii) t = 0,001s1 Lk + 2,5 but t is to be not less than the thickness of the adjacent side plating FD kL (c) Within from base (excluding bilge plating), see Note 3: The greater of the following: (i) t = 0,00085s1 f1 (0,083L1 + 10) (ii) t = 0,0056s1 hT2 k 1,8 – FB FB kL D 4 from base:(c) Between upper turn of bilge and The greater of the following: (i) t from (b)(i) (ii) t from interpolation between (a)(ii) and (b)(ii) D 2 (1) Side shell clear of sheerstrake, see Notes 1, 2, 4 and 5 (2) Sheerstrake, see Notes 1, 2 and 5 Symbols L, D, T, S, s, kL, k, as defined in 1.5.1 Cw is as defined in 1.5.1. Where L > 227 m, Cw is not to be taken less than 6,446 m f1 = hT1 = T + Cw m but need not be taken greater than 1,36T hT2 = T + 0,5Cw m but need not be taken greater than 1,2T s1 = s, but is not to be taken less than the smaller of 470 +470 + mm or 7 FD, FB = as defined in Pt 3, Ch 4,5.7 FM = the greater of FD or FB L1 = L, but need not be taken greater than 190 m L 0,6 1 1 + s 2 (1000S) NOTES 1. The thickness is also to satisfy the buckling requirements of Pt 3, Ch 4,5.6. 2. The thickness of side shell or sheerstrake is to be not less than the basic shell end thickness for taper, as given in Pt 3, Ch 5,3 and Ch 6,3. The width of the sheerstrake (where of different thickness from the side shell) is to be not less than that required by Table 2.2.1 in Pt 3, Ch 2. 3. 4. The thickness of side shell need not exceed that determined from Table 1.5.2 for bottom shell, but using the spacing of side frames or longitudinals. Outside the Rule minimum region of higher tensile steel as defined in Pt 3, Ch 3,2.6.1 the value of kL may be taken as 1,0. 5. For the expressions contained in (i), where separate maximum sagging and hogging still water bending moments are assigned, FD may be based on the sagging moment and FB on the hogging moment. (a) Above 2 from base: The greater of the following: (i) t = 0,001s1 (0,059L1 + 7) (ii) t = 0,0042s1 hT1 k D FD kL (a) Within from the gunwale: The greater of the following: (i) t = 0,00085s1 f1 (0,083L1 + 10) (ii) t = 0,0042s1 hT1 k D 4 FD kL (b) At upper turn of bilge, see Note 3: The greater of the following: (i) t = 0,001s1 (0,059L1 + 7) (ii) t = 0,0054s1 hT2 k 2 – FB FB kL (b) Withinhi om mid-depth: The greater of the following: (i) t = 0,001s1 (0,059L1 + 7) (ii) t = 0,0051s1 hT1 k D t 4 FM kL