design of an inland cargo vessel with 950 dwt cargo capacity

DEPARTMENT OF NAVAL ARCHITECTURE

& MARINE ENGINEERING

BANGLADESH UNIVERSITY OF ENGINEERING & TECHNOLOGY.

NAME 338 Ship design project & presentation ---- By ----

Md. Bariul Karim Student No. 0812032 & Nabila Naz Student No. 0812032

Under the Guidance of

DR. Mir Tareque Ali

Professor, Department of Naval Architecture & Marine Engineering.

BUET, Dhaka 1000.

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Knowledge of ship design is difficult to attain & requires extensive experience &

research work. To reach a high degree of proficiency in ship design the purely

theoretical knowledge is in itself insufficient. Realizing this fact, Department of

Naval Architecture &Marine Engineering of Bangladesh University of Engineering

&Technology introduced NAME 338 course known as Ship Design Project &

Presentation which provides us with valuable opportunity of getting involved in

whole ship designing process. We got the first hand experience to implement our

achieved theoretical knowledge in our project work to attain proficiency.

We have completed our project under the supervision of Dr.Mir Tareque Ali .

We wish to express our sincerest gratitude to Sir for his heartiest co operation

throughout the preparation of the project. From the very beginning to the end of

our project work Sir supported us with his constructive suggestions & ideas. At

every step of our designing process Sir helped us a lot to correct our mistakes as

well as provided endless encouragement to fulfill our work.

We are also grateful to all the teachers of the Department of Naval Architecture

& Marine Engineering for their valuable suggestions and necessary information

during the preparation and presentation of the project.

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Serial No.

Topic Name Page

1. Introduction to the project detail 5

2. Selection of the basis ship 6 3. Determination of principal particulars 7

4. Preliminary engine power calculation 8

5. Manning of ship 9

6. General Arrangement drawing 10-16

7. Lines plan & offset table 17-21 8. Hydrostatic calculation (manual) 22-51

9. Hydrostatic curves (individual) 52-56

10. Hydrostatic curves (overall) 57

11. Scantling calculation 58-66

12. Midship section drawing 67-70 13. Longitudinal construction 71-75

14. Shell expansion 76-78

15. Resistance & power Calculation 79-90

16. Engine & gear box selection 91-96

17. Engine &gear box foundation 97-103 18. Rudder & steering arrangement 98-109

19. Propeller blade calculation 110-119

20. Propeller blade drawing 120-121

21. Propeller shafting arrangement 122-128

22. Detail weight calculation 129-148 23. Determination of LCG & VCG 149-157

24. Stability calculation 158-179

25. Trim calculation 180-181

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Project name:

Design of an inland cargo vessel with 950 DWT cargo capacity.

Project route Class 1

Draft 3.66-3.96 m

Length 683 km

Route specification Chittagong-Chowkighata-Chandpur-Shambhupara-

Narayangang-Dhaka- Shambhupara-Bhairab bazaar.

Type of cargo Grains,Timber,Clinkers,

Service speed 10 knot

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Principal particulars

of basis ship:

DWT 800

LBP 42.50

L/B 4.6096

B/T 2.535

B/D 2.286

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Length: (According to cube root formula)

L= { (

) (

)}

=44.99 m Breadth: Draft: Depth L/B=4.6096 B/T=2.535 B/D=2.286 B=9.76 m T=3.85m D=4.269m Displacement: Block coefficient: =DWT/Cd CB = LB =950/0.685 =0.82 =1386.86ton

LOA 52.42 m

LBP 44.99 m

BREADTH (mld) 9.76 m

DEPTH (mld) 4.27 m

DRAFT (LOADED) 3.85 m

FREE BOARD 0.42 m

Block coefficient 0.82

SERVICE SPEED 10 Knots

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Engine Power: where, Ac =Admiralty Coefficient

P=^2/3*V^3/Ac =26*(L+C/V)

=(1386.86)^(2/3)*10^3/277.84 =277.84

=448.25 KW

MANNING OF SHIP

ON DECK

Class-I Inland master 01

Certified Crew (Sukani) 03

Uncertified Crew (Laskar) 03

Cook (Bhandary) 01

Owner 01

AT ENGINE

Class-I Inland Driver 01

Class-II Inland Driver 01

Oil Man 01

Total 12

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Under deck arrangement

AFT PEAK TANK 53.16 m3

CARGO HOLD 1 385.8 m3

CARGO HOLD 2 705.8 m3

ENGINE ROOM 219.5 m3

FORE PEAK TANK 30.53 m3

ENGINE ROOM PARTICULARS:

MAIN ENGINE 2

GENERATOR 2

FUEL OIL SERVICE

TANK

2

FUEL OIL RESERVE TANK

1

GENERAL SERVICE PUMP

2

BILGE PUMP 1

SWITCH BOARD 1

BATTERY BOX 1

TOOL BOX 1

OIL TRAY 1

SEA CHEST 2

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MAIN DECK ARRANGEMENT

AFT PORTION :

SPACE TYPE QUANTITY

SINGLE CABIN 4

DOUBLE CABIN 2

WASH ROOM 3

GALLEY 1

COMMON ROOM 1

MIDDLE PORTION:

CARGO HATCH 2

TRANSVERSE

HATHWAY BEAM SECTION MODULUS 38.00(TABLE 32)

HATCH COVER

STIFFENER SECTION MODULUS 38.00(TABLE 34)

BOLLARD (Double) 06

FORWARD PORTION :

WATERTIGHT CHAIN LOCKERS & MANHOLE .

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POOP DECK ARRANGEMENT

OWNER CABIN CLASS 1 MASTERS CABIN

SUKANIS CABIN (DOUBLE) WASH ROOM,

BOLLARD (Double-02)

NAVIGATION DECK ARAANGEMENTS

FORECASTLE DECK ARRANGEMENTS

SEARCH LIGHT

ANCHOR CHAIN

ANCHOR WINCH

ENGINE FOR WINCH

FUEL TANK FOR THAT ENGINE

FORE MAST

BOLLARD (Double-02)

WHEEL HOUSE-(steering,speed telegraph,compass,switch control)

SKY LIGHT

TOWING&STEM LIGHT

FUNNEL (2)

FRESH WATER TANK

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GA(overall)-A3

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Under deck_A4

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Main deck-A4

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Poop,foxl deck-A4

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Lines plan(overall)-A3

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Body plan A4

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Half breadth plan A4

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Sheer plan A4

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Offset table

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Brief discussion about formulae;-

1. Area displacement and moment:-

Area , displacement and moment can be calculated by Simpsons 1 st,2nd

and 3rd rule.

S.M 1st rule = 1/3*h*(y1+4y2+y3) where,

S.M 2nd rule = 3/8*h*(y1+3y2+3y3+y4) h= spacing between two ordinates

S.M 3rd rule = 1/12*h*(5y1+8y2 - y3) y= length of ordinates

Moment rule for two ordinate= 1/24*h2*(3y1+10y2 y3)

2. KB:- KB = moment of WPA about keel / volume of displacement

3. GMT:- GMT BMT,

BMT = I/displacement =

/ displacement

I= moment of inertia about midship ordinate

4. GML:- GML BML

BML= ICF/displacement = I-Ad2/ displacement

ICF = moment of inertia about centre of floatation.

I = moment of inertia about midship

A = area of water plane

d = distance between C.F and midship ordinate

5. C.F:- C.F = moment/ area

6. MCTC:- MCT 1 cm =w* GML / 100 L

7. TPI:- WPA/97.56

8. Form coefficients:-

CB=/LBT, CM = AM/BT, Cp= CB/ CM, Cw =Aw/BL

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Calculation for area for WL-1

Calculation for volume upto WL-1

station half breadth Y (mm)

Simpson's Multiplier SM

Product of area (mm^2) (Y.dx)

Multipliers for volume (x)

Product of moment (Yx. dx)

Product of moment of inertia Yx^2 dx

Y^3 Product of moment for inertia

AP(0) 0 0.5 0 5 0 0 0 0

0.5 0 2 0 4.5 0 0 0 0

1 0 1 0 4 0 0 0 0

1.5 0 2 0 3.5 0 0 0 0

2 3002 1 3002 3 9006 27018 2.7054E+10 27054036008

2.5 4093 2 8186 2.5 20465 51162.5 6.8569E+10 1.37137E+11

3 4548 1.5 6822 2 13644 27288 9.4072E+10 1.41108E+11

4 4548 4 18192 1 18192 18192 9.4072E+10 3.76289E+11

5 4548 2 9096 0 0 0 9.4072E+10 1.88144E+11

6 4548 4 18192 -1 -18192 18192 9.4072E+10 3.76289E+11

7 4548 1.5 6822 -2 -13644 27288 9.4072E+10 1.41108E+11

7.5 3852 2 7704 -2.5 -19260 48150 5.7156E+10 1.14311E+11

8 2504 1 2504 -3 -7512 22536 1.57E+10 15700120064

8.5 1410 2 2820 -3.5 -9870 34545 2803221000 5606442000

9 754 1 754 -4 -3016 12064 428661064 428661064

9.5 224 2 448 -4.5 -2016 9072 11239424 22478848

10 0.5 -5 0

Sum of product of area =

84542 Excess of product of moment=

-12203 295507.5 1.5232E+12

No. of ordinate

AREA OF WL mm^2

s.m product of volume

interval from base

product of moment

0 0

1. WL 0 0 5 0 0 0

2.WL 1 263.83 8 2110.64 1 2110.64

3.WL 2 306.07 -1 -306.07 2 -612.14

Total 1804.57 1498.5

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Sum of product of area

98078 Excess of product of moment

-4572 Sum of product of moment of inertia

416808 Sum of product of moment of inertia=1.93E+12



Simpson's Multiplier

Product of area(mm^2)

Multipliers for volume

Product of moment

Product of moment of inertia

Y3 Product of moment for inertia

AP(0) 0 0.5 0 5 0 0 0 0

0.5 0 2 0 4.5 0 0 0 0

1 0 1 0 4 0 0 0 0

1.5 2249 2 4498 3.5 15743 55100.5 1.14E+10 2.28E+10

2 3913 1 3913 3 11739 35217 5.99E+10 5.99E+10

2.5 4564 2 9128 2.5 22820 57050 9.51E+10 1.9E+11

3 4804 1.5 7206 2 14412 28824 1.11E+11 1.66E+11

4 4804 4 19216 1 19216 19216 1.11E+11 4.43E+11

5 4804 2 9608 0 0 0 1.11E+11 2.22E+11

6 4804 4 19216 -1 -19216 19216 1.11E+11 4.43E+11

7 4804 1.5 7206 -2 -14412 28824 1.11E+11 1.66E+11

7.5 4437 2 8874 -2.5 -22185 55462.5 8.74E+10 1.75E+11

8 2415 1 2415 -3 -7245 21735 1.41E+10 1.41E+10

8.5 2253 2 4506 -3.5 -15771 55198.5 1.14E+10 2.29E+10

9 1282 1 1282 -4 -5128 20512 2.11E+09 2.11E+09

9.5 505 2 1010 -4.5 -4545 20452.5 1.29E+08 2.58E+08

10 0 0.5 0 -5 0 0 0 0

No. of ordinate

AREA OF WL mm^2 s.m

product of volume

interval from base

product of moment

1. WL 0 0 1 0 0 0

2.WL 1 263.83 4 1055.32 1 1055.32

3.WL 2 306.07 1 306.07 2 612.14

Total 1361.39 1667.46

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station half

breadth Y (mm)

Simpson's

Multiplier

Product

of area

Multiplier

for volume

Product

of moment

Product

moment of inertia of

Y 3^ Product of

moment for inertia

(mm 2^)

AP(0) 0.5 5 0

0.5 2 4.5 0

1 1 4 0

1.5 3438 2 6876 3.5 24066 84231 40636623672 8.1273E+10

2 4310 1 4310 3 12930 38790 80062991000 8.0063E+10

2.5 4751 2 9502 2.5 23755 59387.5 1.0724E+11 2.1448E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4880 1.5 7320 -2 -14640 29280 1.16214E+11 1.7432E+11

7.5 4645 2 9290 -2.5 -23225 58062.5 1.00221E+11 2.0044E+11

8 3854 1 3854 -3 -11562 34686 57244679864 5.7245E+10

8.5 2806 2 5612 -3.5 -19642 68747 22093422616 4.4187E+10

9 1768 1 1768 -4 -7072 28288 5526456832 5526456832

9.5 799 2 1598 -4.5 -7191 32359.5 510082399 1020164798

10 0.5 -5 0

106250 sum= -7941 502151.5 2.195E+12


No. of ordinate

AREA OF WL mm 2^


interval from base

product of moment

1.WL 0 0 1 0 0 0

1. WL 1 263.83 3 791.49 1 791.49

2.WL 2 306.07 3 918.21 2 1836.42

3.WL 3 331.57 1 331.57 3 994.71

Total 2041.27 3622.62

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No. of ordinate

AREA OF WL mm 2^


interval from base

product of moment

1.WL 0 0 1 0 0 0

1. WL 1 263.83 4 1055.32 1 1055.32

2.WL 2 306.07 2 612.14 2 1224.28

3.WL 3 331.57 4 1326.28 3 3978.84

4.WL 4 348.17 1 348.17 4 1392.68

Total 3341.91 7651.12

station half breadth

Y (mm)


Product of area


Product of

moment

Product of moment of

inertia

Y 3^ Product of moment for

inertia

AP(0) 0.5 5 0

0.5 2 4.5 0

1 2245 1 2245 4 8980 35920 11314856125 1.1315E+10

1.5 4070 2 8140 3.5 28490 99715 67419143000 1.3484E+11

2 4563 1 4563 3 13689 41067 95006081547 9.5006E+10

2.5 4799 2 9598 2.5 23995 59987.5 1.10523E+11 2.2105E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4270 1.5 6405 -2 -12810 25620 77854483000 1.1678E+11

7.5 4731 2 9462 -2.5 -23655 59137.5 1.05891E+11 2.1178E+11

8 4163 1 4163 -3 -12489 37467 72147158747 7.2147E+10

8.5 3274 2 6548 -3.5 -22918 80213 35094254824 7.0189E+10

9 2189 1 2189 -4 -8756 35024 10489077269 1.0489E+10

9.5 1068 2 2136 -4.5 -9612 43254 1218186432 2436372864

10 0.5 -5 0

111569 sum= -446 585725 2.2825E+12

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station half

breadth Y (mm)

Simpson's

Multiplier

Product

of area

Multipliers

for volume

Product

of moment

Product of

moment of inertia

Y 3^ Product of

moment for inertia

AP(0) 0 0.5 5 0 0 0 0

0.5 0 2 4.5 0 0 0 0

1 2245 1 2245 4 8980 35920 11314856125 1.1315E+10

1.5 4070 2 8140 3.5 28490 99715 67419143000 1.3484E+11

2 4563 1 4563 3 13689 41067 95006081547 9.5006E+10

2.5 4799 2 9598 2.5 23995 59987.5 1.10523E+11 2.2105E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4270 1.5 6405 -2 -12810 25620 77854483000 1.1678E+11

7.5 4731 2 9462 -2.5 -23655 59137.5 1.05891E+11 2.1178E+11

8 4163 1 4163 -3 -12489 37467 72147158747 7.2147E+10

8.5 3274 2 6548 -3.5 -22918 80213 35094254824 7.0189E+10

9 2189 1 2189 -4 -8756 35024 10489077269 1.0489E+10

9.5 1068 2 2136 -4.5 -9612 43254 1218186432 2436372864

10 0 0.5 -5 0

111569 sum= -446 585725 2.2825E+12


No. of ordinate

AREA OF WL mm 2^


interval from base

product of moment

1.WL 0 0 5 0 0 0

1. WL 1 263.83 13 3429.79 1 3429.79

2.WL 2 306.07 12 3672.84 2 7345.68

3.WL 3 331.57 12 3978.84 3 11936.52

4.WL 4 348.17 12 4178.04 4 16712.16

5.WL 5 363.32 7 2543.24 5 12716.2

6.WL 6 370.71 -1 -370.71 5 -1853.55

Total 17432.04 50286.8

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No. of

ordinate

AREA OF

WL mm 2^

s.m product of

volume

interval from

base

product of

moment

1.WL 0 1 0 0 0

1. WL 1 263.83 3 791.49 1 791.49

2.WL 2 306.07 3 918.21 2 1836.42

3.WL 3 331.57 2 663.14 3 1989.42

4.WL 4 348.17 3 1044.51 4 4178.04

5.WL 5 363.32 3 1089.96 5 5449.8

6.WL 6 370.71 1 370.71 6 2224.26

Total 4878.02 16469.43



Product of area


Product of moment

multipliers for moment

of inertia

Product of moment

of inertia

Y 3^ Product of moment for inertia

AP(0) 0 0.5 0 5 0 5 0 0 0

0.5 0 2 0 4.5 0 4.5 0 0 0

1 3764 1 3764 4 15056 4 60224 53327207744 5.3327E+10

1.5 4614 2 9228 3.5 32298 3.5 113043 98227427544 1.9645E+11

2 4806 1 4806 3 14418 3 43254 1.11007E+11 1.1101E+11

2.5 4880 2 9760 2.5 24400 2.5 61000 1.16214E+11 2.3243E+11

3 4880 1.5 7320 2 14640 2 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 1 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 -1 19520 1.16214E+11 4.6486E+11

7 4880 1.5 7320 -2 -14640 -2 29280 1.16214E+11 1.7432E+11

7.5 4804 2 9608 -2.5 -24020 -2.5 60050 1.10869E+11 2.2174E+11

8 4545 1 4545 -3 -13635 -3 40905 93886178625 9.3886E+10

8.5 3823 2 7646 -3.5 -26761 -3.5 93663.5 55874402767 1.1175E+11

9 2874 1 2874 -4 -11496 -4 45984 23738883624 2.3739E+10

9.5 1560 2 3120 -4.5 -14040 -4.5 63180 3796416000 7592832000

10 0 0.5 -5 0 -5

118791 sum= -3780 678903.5 2.5627E+12

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station half breadth

Y (mm)


Product of area


Product of

moment

Product of moment of

inertia

Y 3^ Product of moment for

inertia

AP(0) 0.5 5 0

0.5 1825 2 3650 4.5 16425 73912.5 6078390625 1.2157E+10

1 4042 1 4042 4 16168 64672 66037242088 6.6037E+10

1.5 4701 2 9402 3.5 32907 115174.5 1.03889E+11 2.0778E+11

2 4836 1 4836 3 14508 43524 1.13099E+11 1.131E+11

2.5 4880 2 9760 2.5 24400 61000 1.16214E+11 2.3243E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4880 1.5 7320 -2 -14640 29280 1.16214E+11 1.7432E+11

7.5 4820 2 9640 -2.5 -24100 60250 1.1198E+11 2.2396E+11

8 4633 1 4633 -3 -13899 41697 99445904137 9.9446E+10

8.5 3993 2 7986 -3.5 -27951 97828.5 63664587657 1.2733E+11

9 3127 1 3127 -4 -12508 50032 30576209383 3.0576E+10

9.5 1794 2 3588 -4.5 -16146 72657 5773874184 1.1548E+10

10 0.5 -5 0 0 0 0

124104 sum= 9804 778347.5 2.6351E+12


No. of ordinate

AREA OF WL mm 2^


interval from base

product of moment

1.WL 0 5 0 0 0

1. WL 1 263.83 13 3429.79 1 44587.27

2.WL 2 306.07 12 3672.84 2 44074.08

3.WL 3 331.57 12 3978.84 3 47746.08

4.WL 4 348.17 12 4178.04 4 50136.48

5.WL 5 363.32 12 4359.84 5 52318.08

6.WL 6 370.71 12 4448.52 6 53382.24

7.WL 7 378.28 7 2647.96 7 18535.72

8.WL 8 396.2 -1 -396.2 8 396.2

Total 26319.63 311176.15

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No. of

ordinate

AREA OF

WL mm 2^

s.m product of

volume

interval from

base

product of

moment

1.WL 0 1 0 0 0

1. WL 1 263.83 4 1055.32 1 1055.32

2.WL 2 306.07 2 612.14 2 1224.28

3.WL 3 331.57 4 1326.28 3 3978.84

4.WL 4 348.17 2 696.34 4 2785.36

5.WL 5 363.32 4 1453.28 5 7266.4

6.WL 6 370.71 2 741.42 6 4448.52

7.WL 7 378.28 4 1513.12 7 10591.84

8.WL 8 396.2 1 396.2 8 3169.6

Total 7794.1 34520.16



Product of area


Product of moment

Product of moment

of inertia

Y 3^ Product of moment inertia

AP(0) 0 0.5 0 5 0 0 0 0

0.5 2685 2 5370 4.5 24165 108742.5 19356769125 3.8714E+10

1 4210 1 4210 4 16840 67360 74618461000 7.4618E+10

1.5 4737 2 9474 3.5 33159 116056.5 1.06294E+11 2.1259E+11

2 4847 1 4847 3 14541 43623 1.13873E+11 1.1387E+11

2.5 4880 2 9760 2.5 24400 61000 1.16214E+11 2.3243E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4835 1.5 7252.5 -2 -14505 29010 1.13029E+11 1.6954E+11

7.5 4832 2 9664 -2.5 -24160 60400 1.12819E+11 2.2564E+11

8 4679 1 4679 -3 -14037 42111 1.02438E+11 1.0244E+11

8.5 4133 2 8266 -3.5 -28931 101258.5 70598620637 1.412E+11

9 3326 1 3326 -4 -13304 53216 36793129976 3.6793E+10

9.5 1997 2 3994 -4.5 -17973 80878.5 7964053973 1.5928E+10

10 0 0.5 0 -5 0 0 0

126962.5 sum= 14835 831976 2.7002E+12

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station half

breadth Y (mm)

Simpson's

Multiplier

Product

of area

Multipliers

for volume

Product

of moment

Product of

moment of inertia

Y 3^ Product of

moment inertia

AP(0) 0.5 5 0

0.5 3141 2 6282 4.5 28269 127210.5 30988732221 6.1977E+10

1 4345 1 4345 4 17380 69520 82029363625 8.2029E+10

1.5 4791 2 9582 3.5 33537 117379.5 1.09971E+11 2.1994E+11

2 4857 1 4857 3 14571 43713 1.14579E+11 1.1458E+11

2.5 4880 2 9760 2.5 24400 61000 1.16214E+11 2.3243E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4844 1.5 7266 -2 -14532 29064 1.13661E+11 1.7049E+11

7.5 4837 2 9674 -2.5 -24185 60462.5 1.13169E+11 2.2634E+11

8 4701 1 4701 -3 -14103 42309 1.03889E+11 1.0389E+11

8.5 4244 2 8488 -3.5 -29708 103978 76440958784 1.5288E+11

9 3479 1 3479 -4 -13916 55664 42107871239 4.2108E+10

9.5 2164 2 4328 -4.5 -19476 87642 10133786944 2.0268E+10

10 0.5 -5 0

128882 sum= 16877 866262.5 2.7634E+12


No. of

ordinate

AREA OF

WL mm 2^

s.m product of

volume

interval from

base

product of

moment

1.WL 0 1 0 0 0

1. WL 1 263.83 3 791.49 1 791.49

2.WL 2 306.07 3 918.21 2 1836.42

3.WL 3 331.57 2 663.14 3 1989.42

4.WL 4 348.17 3 1044.51 4 4178.04

5.WL 5 363.32 3 1089.96 5 5449.8

6.WL 6 370.71 2 741.42 6 4448.52

7.WL 7 378.28 3 1134.84 7 7943.88

8.WL 8 396.2 3 1188.6 8 9508.8

9.WL 9 402.2 1 402.2 9 3619.8

Total 7974.37 39766.17

34

Page 34



No. of ordinate

AREA OF WL mm 2^


interval from base

product of moment

1.WL 0 1 0 0 0

1. WL 1 263.83 4 1055.32 1 1055.32

2.WL 2 306.07 2 612.14 2 1224.28

3.WL 3 331.57 4 1326.28 3 3978.84

4.WL 4 348.17 2 696.34 4 2785.36

5.WL 5 363.32 4 1453.28 5 7266.4

6.WL 6 370.71 2 741.42 6 4448.52

7.WL 7 378.28 4 1513.12 7 10591.84

8.WL 8 396.2 2 792.4 8 6339.2

9.WL 9 402.2 4 1608.8 9 14479.2

10.WL 10 406.57 1 406.57 10 4065.7

Total 10205.67 56234.66



Product of area


Product of moment


Y 3^ Product of moment inertia

AP(0) 0.5 5 0

0.5 3458 2 6916 4.5 31122 140049 41349947912 8.27E+10

1 4440 1 4440 4 17760 71040 87528384000 8.7528E+10

1.5 4793 2 9586 3.5 33551 117428.5 1.10109E+11 2.2022E+11

2 4866 1 4866 3 14598 43794 1.15217E+11 1.1522E+11

2.5 4880 2 9760 2.5 24400 61000 1.16214E+11 2.3243E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4851 1.5 7276.5 -2 -14553 29106 1.14155E+11 1.7123E+11

7.5 4851 2 9702 -2.5 -24255 60637.5 1.14155E+11 2.2831E+11

8 4726 1 4726 -3 -14178 42534 1.05556E+11 1.0556E+11

8.5 4332 2 8664 -3.5 -30324 106134 81295282368 1.6259E+11

9 3606 1 3606 -4 -14424 57696 46889669016 4.689E+10

9.5 2310 2 4620 -4.5 -20790 93555 12326391000 2.4653E+10

10 0.5 -5 0

130282.5 sum= 17547 891294 2.8138E+12

35

Page 35




Product of area


Product of moment


Y 3^ Product of moment for inertia

AP(0) 0 0.5 0 5 0 0 0 0

0.5 3715 2 7430 4.5 33435 150457.5 51271550875 1.0254E+11

1 4508 1 4508 4 18032 72128 91611864512 9.1612E+10

1.5 4799 2 9598 3.5 33593 117575.5 1.10523E+11 2.2105E+11

2 4870 1 4870 3 14610 43830 1.15501E+11 1.155E+11

2.5 4880 2 9760 2.5 24400 61000 1.16214E+11 2.3243E+11

3 4880 1.5 7320 2 14640 29280 1.16214E+11 1.7432E+11

4 4880 4 19520 1 19520 19520 1.16214E+11 4.6486E+11

5 4880 2 9760 0 0 0 1.16214E+11 2.3243E+11

6 4880 4 19520 -1 -19520 19520 1.16214E+11 4.6486E+11

7 4856 1.5 7284 -2 -14568 29136 1.14508E+11 1.7176E+11

7.5 4855 2 9710 -2.5 -24275 60687.5 1.14437E+11 2.2887E+11

8 4742 1 4742 -3 -14226 42678 1.06631E+11 1.0663E+11

8.5 4399 2 8798 -3.5 -30793 107775.5 85125933199 1.7025E+11

9 3728 1 3728 -4 -14912 59648 51811684352 5.1812E+10

9.5 2468 2 4936 -4.5 -22212 99954 15032647232 3.0065E+10

10 0 0.5 -5 0

131484 sum= 17724 913190 2.859E+12


No. of ordinate

AREA OF WL mm 2^


interval from base

product of moment

1.WL 0 0 0 0 0

1. WL 1 263.83 1 263.83 1 263.83

2.WL 2 306.07 4 1224.28 2 2448.56

3.WL 3 331.57 2 663.14 3 1989.42

4.WL 4 348.17 4 1392.68 4 5570.72

5.WL 5 363.32 2 726.64 5 3633.2

6.WL 6 370.71 4 1482.84 6 8897.04

7.WL 7 378.28 2 756.56 7 5295.92

8.WL 8 396.2 4 1584.8 8 12678.4

9.WL 9 402.2 2 804.4 9 7239.6

10.WL 10 406.57 4 1626.28 10 16262.8

11.WL 11 410.32 1 410.32 11 4513.52

Total 10935.77 68793.01

36

Page 36

CALCULATION OF MIDSHIP SECTION AREA

UPTO WL 1 FROM BASE LINE

No. of ordinate

HALF BREADTH

s.m Product of area

1. WL 0 0 5 0

2.WL 1 4548 8 36384

3.WL 2 4804 -1 -4804

Total 9352 31580


No. of ordinate

HALF BREADTH

s.m product of AREA

1. WL 0 0 1 0

2.WL 1 4548 4 18192

3.WL 2 4804 1 4804

Total 9352 22996


No. of ordinate

HALF BREADTH

s.m product of AREA

1,WL 0 0 1 0

1. WL 1 4548 4 18192

2.WL 2 4804 2 9608

3.WL 3 4880 4 19520

4.WL 4 4880 1 4880

Total 19112 52200


No. of ordinate

HALF BREADTH

s.m product of AREA

1,WL 0 0 1 0

1. WL 1 4548 3 13644

2.WL 2 4804 3 14412

3.WL 3 4880 1 4880

Total 14232 32936


No. of

ordinate

HALF

BREADTH

s.m product of

AREA

1,WL 0 0 5 0

1. WL 1 4548 13 59124

2.WL 2 4804 12 57648

3.WL 3 4880 12 58560

4.WL 4 4880 12 58560

5.WL 5 4880 7 34160

6,WL 6 4880 -1 -4880

Total 263172

37

Page 37

UPTO WL 7FROM BASE LINE

No. of ordinate

HALF BREADTH

s.m product of AREA

1,WL 0 0 1 0

1. WL 1 4548 3 13644

2.WL 2 4804 3 14412

3.WL 3 4880 2 9760

4.WL 4 4880 3 14640

5.WL 5 4880 3 14640

6,WL 6 4880 1 4880

Total 28872 71976


No. of

ordinate

HALF

BREADTH

s.m product of

AREA

1,WL 0 0 5 0

1. WL 1 4548 13 59124

2.WL 2 4804 12 57648

3.WL 3 4880 12 58560

4.WL 4 4880 12 58560

5.WL 5 4880 12 58560

6,WL 6 4880 12 58560

7.WL 7 4880 7 34160

8.WL 8 4880 -1 -4880

Total 38632 380292


No. of

ordinate

HALF

BREADTH

s.m product of AREA

1,WL 0 0 1 0

1. WL 1 4548 4 18192

2.WL 2 4804 2 9608

3.WL 3 4880 4 19520

4.WL 4 4880 2 9760

5.WL 5 4880 4 19520

6,WL 6 4880 2 9760

7.WL 7 4880 4 19520

8.WL 8 4880 1 4880

Total 38632 110760

38

Page 38


No. of

ordinate

HALF

BREADTH

s.m product of

AREA

1,WL 0 0 1 0

1. WL 1 4548 3 13644

2.WL 2 4804 3 14412

3.WL 3 4880 2 9760

4.WL 4 4880 3 14640

5.WL 5 4880 3 14640

6,WL 6 4880 2 9760

7.WL 7 4880 3 14640

8.WL 8 4880 3 14640

9.WL 9 4880 1 4880

Total 43512 111016


No. of ordinate

HALF BREADTH

s.m product of AREA

1,WL 0 0 1 0

1. WL 1 4548 4 18192

2.WL 2 4804 2 9608

3.WL 3 4880 4 19520

4.WL 4 4880 2 9760

5.WL 5 4880 4 19520

6,WL 6 4880 2 9760

7.WL 7 4880 4 19520

8.WL 8 4880 2 9760

9.WL 9 4880 4 19520

10.WL 10 4880 1 4880

Total 48392 140040

39

Page 39

Hydrostatic Calculation(WL-1)

Water plane area, Aw=2 x hL/3product of area=263.83m2

1. Moment about middle ordinate= 2 x hL/3 x excess of product of moment by

(F) or (A) x hL.=178.26m3 by F

2. Position of CF of amid ship (A/F): CF= Moment about middle ordinate

Area of water plane

=.68mby F

3. Moment of inertia about middle ordinate

IO= 2xhL/3 x product of M.I x hL2=20206.6m4

4. Longitudinal M.I, about, CF, I2= IO AWCF2=20084.61m4

5. Longitudinal metacentre, BML= IL/V1


No. of ordinate

HALF BREADTH

s.m product of AREA

1,WL 0 0 0

1. WL 1 4548 1 4548

2.WL 2 4804 4 19216

3.WL 3 4880 2 9760

4.WL 4 4880 4 19520

5.WL 5 4880 2 9760

6,WL 6 4880 4 19520

7.WL 7 4880 2 9760

8.WL 8 4880 4 19520

9.WL 9 4880 2 9760

10.WL 10 4880 4 19520

11.WL 11 4880 1 4880

Total 145764

40

Page 40

KM2 = KB+BML

Calculation of Volume and CB:

Volume up to WL1, V1 = 1/12 x HV x product of volume=52.63m3

hV = WL spacing

Moment of volume displacement about base, = 1/12 x (hV)2 x product for

moment.

=15.3m4

The distance of Center of buoyancy above base, KB1 = Moment/V1=.29m

Up to WL1 Calculation of Midship Section Area

AM1 = 2 x 1/12 x hV x product of area.=1.84m2

Transverse M.I , IT = 2 x 1/3 x 1/3 x hL x product of M.I=118.47m4

BMT = IT/V1=2.25m

KMT = KB-BMT=1.19m

Hydrostatic Calculation(wl 2)

Water plane area, Aw=2 x hL/3product of area.=306.07m2


(F) or (A) x hL=66.79m3 by F


Area of water plane

=.22 m


IO= 2xhL/3 x product of M.I x hL2.=28501.04m4

41

Page 41

4. Longitudinal M.I, about, CF, IL= IO AWCF2.=28486.23m4

5. Longitudinal metacentre, BML= IL/V1=

KM2 = KB+BML


Volume up to WL1, V1 = 1/3 x HV x product of volume =158.82m3

hV = WL spacing


moment.=68.09m4



AM1 = 2 x 1/12 x hV x product of area.

Transverse M.I , IT = 2 x 1/3 x 1/3 x hL x product of M.I.

BMT = IT/V1

KMT = KB=BMT




(F) or (A) x hL.=116m3


Area of water plane

=0.35m

42

Page 42





KML = KB+BML



hV = WL spacing

Moment of volume displacement about base, =3/8x (hV)2 x product for

moment.=166.41m4



AM1 = 2 x3/8 x hV x product of area.=8.65m2

Transverse M.I , IT = 2 x 1/3 x 1/3 x hL x product of M.I.=2283.29m4

BMT = IT/V1=8.5

KMT = KB+BMT=9.14m


Water plane area, Aw=2 x hL/3product of area=348.17m2


(F) or (A) x hL.=6.52m3

43

Page 43


Area of water plane

=.019mby F


IO=2xhL/3 x product of M.I x hL2=40051.47m4

4. Longitudinal M.I, about, CF, I2= IO AWCF2.=40051.34m4


KM2 = KB+BML



hV = WL spacing

Moment of volume displacement about base, = 1/3x (hV)2 x product for

moment.=312.42m4

The distance of Center of buoyancy above base, KB1 = Moment/V1=0.8m



Transverse M.I , IT = 2 x 1/3 x 1/3 x hL x product of M.I.=2374.31

BMT = IT/V1=6.09m

KMT = KB+BMT=6.89m

44

Page 44


Water plane area, Aw=2 x hL/3product of area.363.32m2


(F) or (A) x hL=19.71m3


Area of water plane

=.05m by f


IO= 2x hL/3 x product of M.I x hL2=44076.85m4

4. Longitudinal M.I, about, CF, I2= IO AWCF2.=44075.95m4


KM2 = KB+BML



hV = WL spacing


moment.=513.34m4

The distance of Center of buoyancy above base, KB1 = Moment/V1=1m




45

Page 45

BMT = IT/V1=5.06

KMT = KB+BMT=6.06m




(F) or (A) x hL=55.22m3


Area of water plane

=.15m by F


IO=2x hL/3 x product of M.I x hL2=46422.95m4



KM2 = KB+BML


Volume up to WL1, V1 = 3/8x HV x product of volume=640.24m3

hV = WL spacing


moment.=746.56m4



46

Page 46



BMT = IT/V1=4.16m

KMT = KB+BMT=5.36m

Hydrostatic Calculation(WL 7)

Water plane area, Aw=2 x hL/3product of area.

=38.73X10^7mm^2=387.28 m^2


(F) or (A) x hL=1.43x1011mm3=143.22m3by aft


Area of water plane

=0.37m by aft


IO= hL/3 x product of M.I x hL2=53222.86m4

4. Longitudinal M.I, about, CF, I L= IO AWCF2.=53169.84m4


KM2 = KB+BML


Volume up to WL1, V1 = 1/12 x HV x product of volume=767.66m3 hV =

WL spacing


moment.=3176.59m4

47

Page 47





BMT = IT/V1=3.57

KMT = KB+BMT=7.67m


Water plane area, Aw=2 x hL/3product of area.

=39.62x107mm2=396.2 m2


(F) or (A) x hL.=2.17x1011 mm3=216.71m3by aft


Area of water plane

=0.55m





KM2 = KB+BML


Volume up to WL1, V1 = 1/3x HV x product of volume=909.31m3

48

Page 48

hV = WL spacing


moment.=1409.57m4





BMT = IT/V1=3.09m

KMT = KB+BMT=4.64m


Water plane area, Aw=2 x hL/3product of area=40.22X107mm2=402.2m2


(F) or (A) x hL=2.47x1011mm3=246.54m3by aft


Area of water plane

=0.613m by aft





KM2 = KB+BML


49

Page 49


hV = WL spacing


moment.=1826.76m4



AM1 = 2 x 3/8x hV x product of area.=29.14m2


BMT = IT/V1=2.75m

KMT = KB+BMT=4.5m


Water plane area, Aw=2 x hL/3product of area=40.66x107mm2=406.57m2


(F) or (A) x hL=2.56x1011mm3=256.32m3 by aft


Area of water plane

=0.63m by aft





KM2 = KB+BML

50

Page 50



hV = WL spacing


moment.=2296.25m4





BMT = IT/V1=2.46m

KMT = KB+BMT=4.4m


Water plane area, Aw=2 x hL/3product of area=41.03X107mm2=410.32m2


(F) or (A) x hL=2.59x1011mm3=259m3


Area of water plane

=0.631m by aft


IO=2x hL/3 x product of M.I x hL2=62443.3m4


51

Page 51


KM11 = KB+BML



hV = WL spacing


moment.=2809.05m4



AM1 = 2 x 1/3 x hV x product of area.=34m2

Transverse M.I , IT = 2 x 1/3 x 1/3 x hL x product of M.I.=2973.99

BMT = IT/V1=2.33

KMT = KB+BMT=4.53m

52

Page 52

Draught HWL (m)

Water Plane Area AW (m^2)

Displacement (Tonne)

KB (m)

KML (m)

KM t (m)

CB CM CP LCF TPC MCTC 1m

Cw

0 0 0 0 0 0 0 0 0 0

0.35 263.83 52.63 0.29 381.62 30.4 0.34 0.54 0.53 -0.59 2.64 446.32 0.6

0.7 306.07 158.82 0.43 179.8 13.07 0.52 0.79 0.66 -0.56 3.07 633.03 0.69

1.05 331.57 267.92 0.62 128.63 9.14 0.58 0.84 0.69 -0.51 3.31 762.14 0.75

1.4 348.17 389.89 0.8 103.52 6.89 0.64 0.89 0.72 -0.45 3.48 890.03 0.79

1.75 363.32 508.44 1 87.69 6.06 0.66 0.9 0.73 -0.36 3.63 979.47 0.82

2.1 370.71 640.24 1.2 73.7 5.36 0.69 0.92 0.75 -0.15 3.7 1071.3 0.86

2.45 378.28 767.66 1.4 70.66 4.97 0.72 0.93 0.78 0.37 3.82 1181.55 0.88

2.8 396.2 909.31 1.56 64 4.64 0.74 0.94 0.79 0.55 3.96 1261.56 0.9

3.15 402.2 1046.64 1.75 58.2 4.5 0.76 0.95 0.8 0.613 4.02 1312.74 0.92

3.5 406.57 1190.66 1.93 52.98 4.4 0.78 0.96 0.81 0.63 4.06 1350.77 0.93

3.85 410.32 1275.84 2.2 51.01 4.53 0.82 0.97 0.83 0.631 4.1 1383.99 0.93

53

Page 53

Hydrostatic curves

0

1

2

3

4

5

0 500 1000 1500

DRAFT

VOLUME

DISPLACEMENT

0

1

2

3

4

5

0 0.5 1 1.5 2 2.5

DRAFT

KB

0

1

2

3

4

5

0 100 200 300 400 500

DRAFT

AW

Draft vs.

volume

displacement

Draft vs. KB

Draft vs. AW

54

Page 54

0

1

2

3

4

5

-1 -0.5 0 0.5 1

DRAFT

LCF

0

1

2

3

4

5

0 200 400 600

DRAFT

KML

0

1

2

3

4

5

0 10 20 30 40

DRAFT

KMt

Draft vs. KML

Draft vs. LCF

Draft vs. KMt

55

Page 55

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 2 4 6

DRAFT

TPC

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 500 1000 1500

DRAFT

MCT 1m

Draft vs. TPC

Draft vs. MCT1m

1m

MCTc

56

Page 56

Hydrostatic form curves

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 0.2 0.4 0.6 0.8 1

DRAFT

Cb

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 0.5 1 1.5

DRAFT

Cm

Draft vs. Cb

1m

MCTc

Draft vs. Cm

1m

MCTc

57

Page 57

0

1

2

3

4

5

0 0.5 1

DRAFT

Cp

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 0.5 1

DRAFT

Draft vs. Cp

1m

MCTc

Draft vs. Cw

1m

MCTc

58

Page 58

Hydrostatic curves (at a glance)

0.5

1

1.5

2

2.5

3

3.5

4

-5000 0 5000

aw

lcf

displacement

bml

kb

kml

mct

tpm

bmt

kmt

lcb

cb

cm

59

Page 59

60

Page 60

Framing information

Framing System Transverse

Frame Spacing (midship) 550mm

Frame Spacing (for& aft) 500mm

No. of Main Frames 80

No. of Web Frames 17

No. of Bulkheads 4

Shell Structure

Plates Thickness

Keel Plate 10mm

Bottom Plate 8mm

Bilge Plate 9mm

Shell Plate 8mm

61

Page 61

Scantling calculation

Particulars

Frame spacing, a =0.55m

Web frame spacing =2.02m

Length of ship=52.42m

Breadth of ship= 9.76m

Draft,T= 3.85m

Deptht ,d =4.27m

Block coefficient 2

Material factor for higher strength hull structural steel.

Bottom shell plating

Frame spacing, a = 0.55 m

Length coefficient CL= (L/90) (for L

62

Page 62

The thickness of the bottom shell plating within 0.4 L amidships is not to be less

than:

tB1 = 1.9 nf a (pB k) + tK (mm) = 1.9 1 0.55 (51.23 0.72) + 1.5 (mm) (as t 10 mm) = 7.85 (mm)

Within 0.1 L forward of the aft end of the length L and within 0.05 L aft of F.P. the thickness is not to

be less than.

tB2 = 1.21 a (pB k) + tK (mm)

= 1.21 0.55 (51.23 0.72) + 1.5(mm)

= 5.54 (mm)

The thickness of bottom plating should not be less than the greater of the two

following values

Tmin = (L.k) mm for L 50m = 6.14 mm

So we take the thickness of our bottom plate as tB = 8 mm

Spacing between side girders not exceed L/250+0.9 m

Bottom structure (Keelson):(Single bottom)

According to B.V rule:

Web height for center keelson within 0.7L amidship : 0.085D+0.15=512.95mm

G.L: Min Web Thickness, t =.07L+5.5=9.17mm

Face plate sectional area should not be less than (0.7L amidship)

=0.7L+12=48.694 cm2

So we get,10x2=48.694cm

2

63

Page 63

x=2.21cm=22.07mm (min)

So,10x=10X22.07 =220.67mm~230mm

Flange width=230mm

Flange thickness=10mm (according to rule not greater than 14mm)

Dimension T- 513 230 10 (.7L amidship)

But towards end, thickness of web &sectional area of top plate reduced by 10% so

lightening hold is avoided.

SIDE KEELSON:

Web height for side keelson=

G.L: Min Web Thickness=.04L+5=7.0968mm~8mm

Face plate sectional area should not be less than (0.7L amidship)

=0.2L+6=16.484cm2

So we get,10x2=16.484

x =1.28cm=12.84mm

So,10x=10X12.84=128.39~129mm , Flange width 129mm

Flange thickness=(16.484/12.9)=1.28cm=12.78mm~10mm

Dimension T-

Flat keel plating

Width =800+5L = 800+5X52.42=1062.1mm~1063mm

The thickness of flat plate keel should not be less than tFK = tB + 1.5

= 8 +1.5

64

Page 64

= 9.5mm

So we take the thickness of our flat plate keel as tFK = 10mm

Bilge plating

Bilge thickness = Bottom plate thickness = 9 mm\

Side shell plating :

Vertical distance of the structure load centre from base line z =

= 0.5(depth- double bottom depth) + double bottom depth

= 0.5(4.27-0) +0= 2.135 m

Load on sides, Ps = 10 (T-Z) + Po CF (1+ Z/T) = 10 (3.85-2.135) + 12.73 1.0 (1+2.135 /3.85)

= 36.94 KN/mm2

The thickness of the side shell plating should not be less than the greater of

those following values

Ts1 = 1.9 nf a ( PS K) + tk = 1.9 1 0.55 ( 36.94 0.72) + 1.5

= 6.89 mm, So we take the thickness of our side shell plating as, ts = 8mm

`Web frame and Side Stringers l = Length of unsupported span = 2.73 m

Where web frames and supporting stringers are fitted instead of tiers of beams,

their scantlings are to be determined as follows:

Section modulus, W = 0.55 e l2 P nc K

= 0.55 2.02 2.732 36.94 1 0.72

= 220.23 cm3

where,nc = Reduction coefficient = 1 (as there is no cross ties)

Dimension L- 160X80X12

65

Page 65

Side Stinger:

We take the dimension of side stringer same as that of web frame. So the

dimension of side stringer is L- 160X80X12

Main Frame:

Length of unsupported span= 2.73 m

Maximum height for curve,s=0 for main frame

n=0.9-.0035X L for L

66

Page 66

Thickness of side shell plate =T+Co/2=3.85+6.894/2=7.297~8mm

Transverse Deck beam &Deck Longitudinal:

P=PD=Pressures on ships deck =Po*{20*T/(10+z-T)H}*Cd=27.71kN/mm2

Sectional modulus of Transverse Deck beam Deck

Longitudinal,WD=c*a*p*l2*k=.75*.55*27.71*(2.73)

2*.72=61.34cm

3

Dimension-L 100X65X7

Dimensions of non-effective superstructures:

Here P=Ps

The thickness of side plating above the strength deck should not be less than the

two following values,

=5mm

So we take the thickness of the side plates of superstructures as tsp=5mm

Here

=1.21

=30.141.21= 36.45kN/m2

The thickness of poop deck plating should not be less than,

=.75*.55*(36.94*.72)+1.5=3.63mm So we take the thickness of deck tDP= 6mm

67

Page 67

Bracket:

The thickness of brackets is not to be less than:

t = c 31K

W+ tk

=5.98mm

WB = n c a l

2 p k = 0.7 10.55 (2.135)

251.230.72 = 64.73cm

3

c = 1.0,n=.7 P=PB=51.23k N/mm

2

k1 = material factor k for the section= 0.72

The arm length of brackets should not be less than= 46.2 x 31K

Wxc=206.97mm

Dimension of bracket 300X300X7

Framing&Continuous Items Using G.L& NK RULE BOOK 08

Bottom Structures Single Bottom

Center Keelson T-513X230X10

Side Keelson T-470X8+129X10

Floor plates T-492X125X10

Web Frame L-160X80X12

Main Frame L-100X65X7

Side Frame L-75X75X8

Transverse Deck Beam 100X65X7

Main deck plate 7mm

Main deck longitudinal

L-100X65X7

Side Stringer L-160X80X12

Bracket 300X300X7

Hatchway Beam 80X65X7

Hatch Coaming Height 1000mm

68

Page 68

Midship

section(overall)-A3

69

Page 69

Main frame-A4

70

Page 70

Web frame-A4

71

Page 71

Connections-A4

72

Page 72

Longitudinal

construction(overall)-

A3

73

Page 73

Under deck-A4

74

Page 74

Main deck-A4

75

Page 75

Poop,foxl-A4

76

Page 76

profile-A4

77

Page 77

Shell expansion-A4

78

Page 78

Plate dimension-A4

79

Page 79

Plate dimension-A4

80

Page 80

81

Page 81

METHODS OF RESISTANCE CALCULATION

1. Taylors Method.

2. Moors Method.

3. Holtrop & Mennens Method.

4. Guldhammer & Harvalds Method.

HOLTROP &Total Resistance of the Ship,

RT =RF(1+K1)+RAPP+RW+RB+RTR+RA

RF = FRICTIONAL RESISTANCE ACCORDING TO THE ITTC 1957

FRICTION FORMULA

RAPP = RESISTANCE OF APPENDAGES

Rw = WAVE MAKING AND WAVE BREAKING RESISTANCE

RB = ADDITIONAL RESISTANCE DUE TO BULBOUS BOW

RTR =ADDITIONAL PRESSURE RESISTANCE OF IMMERSED TRANSOM

STERN

RA = MODEL SHIP CORRELATION RESISTANCE

82

Page 82

Holtrop & Mennens Method.

C w p =

=410.32/44.99*9.76=0.93

C.F = 0.631 m aft

L.C.B =24.165 m aft=1.67 m f about amidship

Transverse sectional area of BULB, A BT = 0

M.C.T 1 m = 1393.99

A T = 0 m2

The Wetted Area,

S= L (2T+B) C M (0.453+0.4425 C B 0.2862 C M 0.003467(B/T) + 0.3696 C w p) +2.38

A BT/ C B

S = 675.534 m2

Reynoldss No, R e =

=

At room temperature,(30 C), Kinematic Viscosity of Water,

= 0.801 X m2/s

R e = 2.89 X

CF = 0.075/ ((log10 R e ) - 2 )2 = 1.8 X

Frictional Resistance, RF = 0.5 V2 S CF = 0.5*996*5.15

2*675.534*1.8*10-3=16.06 KN

C12 = ) 0.222844 = 0.578

C13 = 1+0.003 Cstern = 1.003

Cstern = 1, for normal shaped ship

83

Page 83

L R = (1 Cp + 0.06 CP LCB (4 Cp - 1)) X L

=10.44

1+ k1 = C13 (0.93 + C12 (B/ L R) 0.92497 (0.95- C p)

-.521448 (1- C p + .0225 LCB) 0.6903 )

= 1.63

C7 =

= 0.216 , 0.11 < (B/L) < 0.25

iE =1 + 89exp {-(L/B) 0.80856(1 CWP)

0.30484 (1- CP -0.02255 LCB) 0.6367 (L R /B)

0.34574 (100 X /

L3) 0.16302} = 54.41

C1 = 2223105C7 03.78613 (T/B)1.07961(90 - iE)

-1.37565

=18.06

C3 = 0

C2 = exp (- 1.89 3) = 1

C5 = 1 0.48AT/(BTCM) = 1

= 1.446CP -0.03 L/B L/B < 12

=1.21

m1 = 0.0140407L/T 1.752541/3/L 4.79323B/L C16

= -2.44

C16 = 8.07981CP 13.8673CP2+ 6.984388Cp

3

= 1.138 (taking cp >0.8)

84

Page 84

Fn = V/ = .245 (V in m/s)

c15 = - 1.69385 {(L3/VOLUME) < 512}

m2 = c15 CP2 exp (-0.1Fn

-2) = -0.266

d = -0.9

Rw = C1 C2 C5 g exp{ m1 Fn d + m2 cos ( Fn-2 ) }

= 30.64 KN

RB = 0.11 exp (-3 PB -2

) Fni 3

A BT 1.5 g/(1+ Fni

1.5 ) =0

RA = 0.5 V2 S Ca = 5.85 kN

CA = 0.006(L+100)-.016 -.00205 +.003 CB 4 C2 (.04- C4)

=6.56X10 -4

C4 = 0.04

TF /L > .04

RAPP = 0.5 V2 SAPP (1+k2)EQ X CF

=0.481KN (SAPP = 2% of S =13.51)

(1+k2)EQ=1.50

RTR =0.5 V2 A T C6 =0

85

Page 85

C6 =0.2(1-0.2F NT) =0

F NT = V/ B B

=4.81

Total Resistance of the Ship

RT =RF(1+K1)+RAPP+RW+RB+RTR+RA

=16.06*1.63+0.481+30.64+0+0+5.85=79.98 KN

PE=RT*V=79.98 *5.15=411.9 KW

Effective, PE 411.9 KW

Ship type Typical values for the quasi-propulsive

coefficient (QPC)

tanker 0.670.72

slow cargo vessel 0.720.75

passenger ship 0.650.70

Let, QPC=0.73 t=takes typical values of 0.99 for aft end machineryand 0.98 for amidships machineryThe losses in a the thrust block should be less than 1% of the power transmitted. Ps=PE/ QPC* t=(411.9 /0.73*.99) =570 KW Taking MCR 85% , Ps=670 KW

Shaft power, PS= PD/t=499.74 kw=750 hp

86

Page 86

Summary of resistance calculation

RESISTANCE VALUE

FRICTIONAL RESISTANCE , RF 18.02 KN

1+K1 1.55

RESISTANCE OF APPENDAGES , RApp

0.541 KN

WAVE MAKING AND WAVE BREAKING RESISTANCE , R

W`

10.43KN

ADDITIONAL RESISTANCE DUE TO BULBOUS BOW, R

B

00.00 KN

RESISTANCE OF IMMERSED TRANSOM STERN ,R

TR

00.00 KN

MODEL SHIP CORRELATION RESISTANCE , R

A

6.29 KN

TOTAL RESISTANCE, RT 45.19 KN

87

Page 87

Summary of power calculation

Resistance(total) 45.18522 KN

Power(effective) 232.703883

KW

nd (QPC) 0.50462707

Delivered, Pd 461.140306 KW

Shaft power, Ps 468.162747

KW

Brake power, Pb 487.669528 KW

MCR 85% 573.728857 KW

P=RXV

Pd=P/nd

nd=0.84-NL/1000

Ps=Pd/t

t=0.985

Pb=Ps/g

g=0.96

88

Page 88

Air resistance

Formula used:

1. {1-.15*(1-/90)-0.8*(1-/90)^3}*90 degree

2.a/L 0.291+0.0023. in degree

3.Crwd 1.142-0.142cos2-0.367cos4-0.133cos6

4.Rwd 0.5*Crwd*Vrwd^2(Af cos^2+Al sin^2)

Item Al (m^2) Af (m^2)

Hull 17.1 3.71

Solid railing 29.0 9.76

1st

deck 24.0 19.52

2nd

deck 13.8 15.6

Wheel house 5.51 14.63

Funnel 3.45 3.45

92.8562 66.6468

89

Page 89

Air Resistance= 0.79952 KN

Air Power = 4.12 KW

a/L Crwd COS SIN Vs COS Vrwd=Vw+Vs COS

Rwd Vrwd=Vs Rwd

0 4.5 0.291 0.75 0.99 0 5.149 15.44 7195.7

30 59.6 0.36 1.19 0.50 0.5 4.45 14.757 11467.5

60 82.8 0.429 1.21 0.12 0.866 2.5 12.87 10524.9

90 90 0.498 1.29 6.12E-17

1 3.15E-16 10.298 7.66E+03 5.149 799.526

120 97.1 0.567 1.739 -0.124 0.866 -2.5 7.72 5377.17

150 120.3 0.636 1.664 -0.50 0.5 -4.45 5.83 2505.5

90

Page 90

Resistance vs.speed curve:

0

10

20

30

40

50

60

70

80

90

0 2 4 6 8

Re

sist

ance

(KN

)

Speed (m/s)

Series1

V(m/s) R Total(KN) R water(KN) R air(KN)

4.12 24.522 24.01 0.512

4.63 34.247 33.6 0.647

5.15 45.989 45.19 0.799

5.66 69.367 68.4 0.967

6.18 80.83 79.68 1.15

91

Page 91

Power vs.speed curve:

0

200

400

600

800

1000

1200

1400

0 2 4 6 8

Po

we

r(K

W)

Speed m/s)

Series1

V(m/s) Pt(KW) Pw(KW) Pa(KW)

4.12 246.01 243.91 2.1

4.63 386.503 383.502 3.001

5.15 577.85 573.73 4.12

5.66 959.984 954.504 5.48

6.18 1221.19 1214.06 7.13

92

Page 92

93

Page 93

ENGINE AT A GLANCE

94

Page 94

95

Page 95

ENGINE CONFIGURATION

MODEL 6AYM-WGT L-rating

Number of cylinder 6

Arrangement In-Line type

Nominal rating 500 kw (PS)

Rated speed 1938 rpm

Fuel consumption at nominal rating 60 L /h(at Avrg

SP)

Bore 155 mm

Stroke 180 mm

Displacement 20.379

Length upto flywheel house edge 5940 mm

Width 1590 mm

Height 4008 mm

Average weight of engine ready for installation (dry)

2365 kg

Exhaust-gas status IMO

96

Page 96

97

Page 97

GEAR BOX SPECIFICATION

MODEL YXH-180

TYPE HYDRAULIC MULTI DISC CLUTCH

REDUCTION RATIO (ahead) 1.95 2.27 2.56 3.03 3.48

DIRECTION OF ROTATION

(Propeller Shaft) CLOCKWISE or COUNTER CLOCKWISE

DRY WEIGHT 645 KG

98

Page 98

99

Page 99

Engine Foundation Scantling

Frame spacing

Web frame spacing

Engine output

Top plate dimension

The thickness of top plate should approximately be equal to the diameter of the

fitted-in bolts. So we have the thickness of the top plate as

Thickness of top plating,T=41 mm

Again the sectional area of the top plate should not be less than, for

So the width of top plate will be,

So we take width of top plate as

100

Page 100

Engine foundation

The foundation shall be constructed for the proper transmission of forces in the

transverse and longitudinal directions. Longitudinal girders forming seatings of the

engine, the gearbox and the thrust block shall therefore extend to the engine room

bulkheads and are to be supported transversely by floors, web frames or wing

bulkheads. Floors in the engine room are generally to be fitted at every frame.

Additional intermediate frames may be appropriate.

Plate floors

Plate floors are to be fitted at every frame. Dimension of floor plate T-

492X125X10

From our previous calculation, the thickness of floor is 10 mm

Thickness of plate floors will be increased by = 3.6+

[%]

= 4.94 %

As, Minimum 5per cent, maximum 15 per cent

So , we take 12 % increase of the thickness.

Thus, the thickness of the plate floors will be = 11.2mm

Dimension= T - 950x150x9

P = single engine output [kW] = 670 KW

Side girders

The thickness of side girders under an engine foundation top plate inserted

into the inner bottom is to be similar to the thickness of side girders above

the inner bottom according to

t = (P/15)+6 [mm] for P< 1500 KW = 10mm

Dimension= T - 950x274x10

101

Page 101

P = single engine output [kW]

Inner Bottom Plating

Between the foundation girders, the thickness of the inner bottom plating required

is to

be increased by 2 mm.

Thickness of inner bottom plating in other place=8mm

So the thickness of inner bottom plating will be,tbe=8+2

=10mm

So we take the thickness of inner bottom plating in way of engine as 10mm

Engine seating

Foundation bolts

The foundation bolts for fastening the engine at the seating shall be spaced no more

than apart, S=3Xd

Where,d diameter of the foundation bolt=41mm

So we have S=3Xd=152 mm

So we take the spacing of foundation bolt from the foundation girder 152mm

Floor plate thickness

The floor thickness is to be increased as follows,

Here,

Engine output

So we have,

(

)

(

)

So we take floor plate thickness as in way of engine

102

Page 102

Longitudinal girders

The thickness of longitudinal girders above the inner bottom is not to be less than,

for

P < 1500 kW

So we take the thickness of longitudinal girder as

Where two longitudinal girders are fitted on either side of the engine, their

thickness required according to 3.2.1 may be reduced by 4 mm.

Web frame

The longitudinal girders of the engine seatingare to be supported transversely by

means of web frames. The scantlings of webframes are to be taken as before.

Hence the dimension of the web frame T -section is

103

Page 103

Engine foundation-profile,underdeck-A4

104

Page 104

Engine foundation-main engine n gear box section-A4

105

Page 105

106

Page 106

Rudder Calculation Materials

minimum nomi-nal upper yield point,Reh = 250 Nmm-2

material factor,kr = (

)0.75

= (238/250)^0.75

= 0.95

Rudder Force

Rudder force:-

For middle line rudders behind twin screws for both ahead and stern motion

Qr = 18 AV2 N

Here, A= area of rudder= 2.464 m2

V = speed of the ship = 10knots

For = 35

Q=18*2.464*(10*.5149)2 *35=41155.42 N

By using the formula from Ship design and construction by Robert Taggart,

Qr = 196*A*Vk2 = 196* 2.464*102 = 48294.4 N

Centre of pressure:-

By using the formula from Ship design and construction by Robert Taggart

The centre of the pressure of the ship , Xp =(0.195+0.305*sin )*c

C.p abaft leading edge, Xp =(0.195+0.305*sin 35)*1.12 =0.41 m

Turning axis from the leading edge, t = 15~20 % of c

= 18% of 1.12 = 0.2016m

So, C.P from the turning axis, r = Xp- t = .41 0.2016= 0.2034 m

Rudder torque, Tr = Qr * r

= 48294.4 * 0.5168 = 24958.55 N-m

107

Page 107

Calculation of rudder stock dia,

Diameter of the stock D3 = 16*Tr / * f

F = allowable stress for cast steel = 77.2*106 N/m2

So, Diameter of the stock ,D = (16*24958.55 / * 77.2*106 )1/3

= 109.86 mm

CALCULATION BASED ON GERMANISCHER LLOYD

Aspect ratio:

Aspect ratio, ^ = b2/At = b2/bc = b/c = 1.96

b = 2.2 m

c =1.12 m

Rudder force

= aspect ratio = 1.96 k1= ( + 2) /3 = (1.96 + 2) /3

= 1.32 k2= 1.35 (ahead) , 1.4 (astern)

k3= 1 k4= 1 rudder force,Cr = 132*A*v

2*k1*k2*k3*k4*kt = 132*2.464*102*(1.32)*1.35*1*1*1 = 57959.1936 (ahead)

rudder torque rudderr torque = Qr = 0,33 for ahead condition = 0,75 for astern condition

Af = area of the rudder ahead of the rudder stroke kb = balance factor = (Af/A)

= 0.23 c = 1.12 m

r = c(-kb) = 2.324*(.33-.23) = .2234(ahead)

r = c(-kb) = 2.324*(.75-.23)

108

Page 108

= 1.208(astern) rmin = 0.1*c

= 0.1*2.324 = 0.2324

rudder torque,Qr = Cr*r =369515.52 (ahead)*0.2234 = 82549.77 (ahead)

rudder stock diameter

D= 4.2* = 4.2*3(82549.77*.95) = 110mm (ahead)

So, we take the diameter as 110mm rudder torque

rudderr torque = Qr = 0,33 for ahead condition

= 0,75 for astern condition Af = area of the rudder ahead of the rudder stroke kb = balance factor

= (Af/A) = 0.23

c = 1.12 m r = c(-kb) = 2.324*(.33-.23)

= .2234(ahead) r = c(-kb)

= 2.324*(.75-.23) = 1.208(astern) rmin = 0.1*c

= 0.1*2.324 = 0.2324

rudder torque,Qr = Cr*r =369515.52 (ahead)*0.2234 = 82549.77 (ahead)

rudder stock diameter

D= 4.2*( Qr * Kr) = 4.2*3(82549.77*.95) = 110mm (ahead)

So, we take the diameter as 110mm

Horizontal coupling

Diameter of coupling bolts,db db = 0.62*(D

3*Kf/(Kr*n*e))

109

Page 109

= 0.62*(1803*0.95/(0.95*6*105)) = 25 mm,

e=distance from rudder stock center to the axis of bolt=105mm a= minimum distance from center of bolt to the edge of flange =(2/3) db=16.67 mm

We take a=45 mm Thickness of coupling flanges tf = 0.62(D

3*Kf/(Kr*n*e))

= 0.62(1803*0.73/(0.73*6*105)) = 36mm

Pintle diameter

d = 0.35*(B1*Kr)

= 0.35*(113848.416 *0.95) = 160 mm

Diameter of the pintles at outer surface of the sleeve=.(1.5V+25.2koAC)+ Stock diameter K0=1.3-L/500=1.3-44.99/500=1.21 C=1,A=2.464

So,dia of the outer sleeve=120 mm

Rudder stock neck bearing Neck bearings for rudders shall incorporate bushes .

thickness of bush

B1 = support force = Cr*b/c

= 57959.1936 *2.2/1.12 = 113848.416 t = 0.01B1

= 0.01113848.416 =20 mm Bearing Part:

(Length of bearing\dia of bearing) not to be less than 1.0 but also should not exceed 1.2 (NK)

We take, Bearing dia 230 mm &length 250mm

Diameter of the outer surface of the sleeve = 2.2 k0X3(XA)V2C) +Stock diameter mm

Here, = lb/3 = 250 = 83.33 mm

So, Diameter of outer surface of the sleeve = 2.2X1.09X3(83.33X2.464)X102 X1) +110

= 152 mm

Housing:

Inner Diameter of bearing = Diameter of outer sleeve = 152 mm

110

Page 110

Outer Diameter of bearing = 230 mm

bearing clearance

= (db/100)+1 = (23/100)+1 = 1. 39

We take the clearance as 1.5 mm

Calculations for Steering Arrangement:

Sectional area of the tiller = 0.4 Dt2 cm2

Here, Dt = Stock diameter = 110 mm

If diameter of the tiller is d then

d = 1.8*Dt=198 mm

Height of tiller ,Dt=110 mm

Diameter of the link chain = 0.38 (DtXR) mm

= 0.38(110/ 8077) mm=0.04mm

Here, Dt = Stock diameter = 110 mm

R = Length of the chain in mm = B/2 = 9.76 / 2 m =4.88 m

Diameter of the steering rod = 1.25X diameter of the steering chain

=1.25X0.04 mm

=15.1 mm 15mm

Chain block of steering chain = 16 Xdiameter of the steering chain

= 16X 12.09 mm = 193.44 mm=194 mm

111

Page 111

112

Page 112

POWER CALCULATION

The Quasi Propulsive Efficiency, nd = 0.73

Transmission Efficiency, nt = 98.5% for machinery at aft

Gearing efficiency, ng = 97%

TYPE of SHIP TYPICAL VALUE of QPC

TANKER 0.62-0.72

SLOW CARGO VESSEL 0.72-0.75

PASSENGER SHIP 0.65-0.70

Effective power, PE = R x V = RT*V= 79.98 *5.15=411.9 KW

Delivered Horsepower, PD = PE / nd = 411.9 /0.73=564.25 KW

Shaft Horsepower, PS = PD / nt = 564.25/.985=570 KW

Brake Horsepower, PB = PS / ng = 570/.97=587 KW

Taking MCR 85% , PB=670 KW= 900 hp

Marine Analyst Service Handbook

Slip vs Ship Speed Formula:

Slip =1.4/(V) 0^.057=1.23

Wake Factor vs Block Coefficient Formulas for vessels with a SL Ratio of under 2.5:

Wake Factor Formula Wf = 1 Wt

113

Page 113

Single Screw Wf = 1.21 (0.6XCb)=0.718 Speed of Advance Formula:Va=VX Wf=10*0.618=7.18 knots

Taylor Wake Fraction Formula, Wt =(V-Va) /V=0.282

Shaft RPM =(1938/5)=387.6=388 rpm

Delivered Horsepower, PD = 564.25 KW

Bp=N*(1.34*PD) / (VA2.5) =77.23

For optimum efficiency using B 4.55 BP- chart:(blade no-4, Ae/Ao=0.55)

Po/Do=0.5524

0=340 0=0.475

0=3.28*(N*Do)/Va, Do=1.92 m

Po/Do=0.5524, Po=1.061 m

The dia Db in the behind condition is about 5% less than Do , Db=1.92*0.95=1.824 m

PB+DB=Po+Do, PB=1.157 m

Shaft Immersion ,h =4.2 m

Po-Pu=99.66+10.18 h=142.416 kPa

qT=.5**V20.7R=351.819 kpa

V20.7R=Va2+(0.7**n*Do)2

= Po-Pu/ qT=0.405 T=( PB* 0* R) / Va =55.11 R=o.73, 0=0.475

using Burrils Cavitations Chart::

=(T/Ap)/qT=0.144, Ap=1.088

Ap/ Ad=1.067-0.229*(P/D)=0.9218, Ad=1.18

To avoid cavitations minimum BAR= Ad/ AB=1.18/ /4*(1.824) 2=0.4516

But we assume BAR 0.55 so Cavitations will not occur.

114

Page 114

Geometry of the propeller B-series:

Min Tip clearance,c=(0.065*L-0.12)=0.316 m X = 5~10% D=0.128 m(7%) Y = 15~25% D=0.3648 m(20%) Z = Up to 5% D=0.05472 m (3%)

No of blade 4

Blade dia 1.824m

Blade Area ratio 0.55

Pitch 1.157

Pitch dia ratio 0.634

Gear box reduction ratio 5:1

115

Page 115

Dimension of 4-bladed B-screw series

Table for dimensions of Wageningen B-propeller series

r/R (Cr/D)(Z/AE/AO) ar/cr br/cr Ar Br Sr/D=Ar-

BrZ 0.2 1.662 0.617 0.35 0.0526 0.004 0.0366

0.3 1.882 0.613 0.35 0.0464 0.0035 0.0324

0.4 2.05 0.601 0.351 0.0402 0.003 0.0282

0.5 2.152 0.586 0.355 0.034 0.0025 0.024

0.6 2.187 0.561 0.389 0.0278 0.002 0.0198

0.7 2.144 0.524 0.443 0.0216 0.0015 0.0156

0.8 1.979 0.463 0.479 0.0154 0.001 0.0114

0.9 1.582 0.351 0.5 0.0092 0.0005 0.0072

1 0 0 0 0.003 0 0.003

r/R r Cr ar br Sr Cr-ar

0.2 182.4 416.8296 257.1839 145.8904 66.7584 159.6457368

0.3 273.6 472.0056 289.3394 165.202 59.0976 182.6661672

0.4 364.8 514.14 308.9981 180.4631 51.4368 205.14186

0.5 456 539.7216 316.2769 191.6012 43.776 223.4447424

0.6 547.2 548.4996 307.7083 213.3663 36.1152 240.7913244

0.7 638.4 537.7152 281.7628 238.2078 28.4544 255.9524352

0.8 729.6 496.3332 229.8023 237.7436 20.7936 266.5309284

0.9 820.8 396.7656 139.2647 198.3828 13.1328 257.5008744

1 912 0 0 0 5.472 0

ar=distance between leading edge & generator line at r

br= distance between leading edge & location of maximum thickness

cr=chord length of blade section at radius r

Sr=maximum blade section thickness at radius r

Ar,Br=constants in equation for Sr/D

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Values of V1:

r/R&

V1

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2 0

1 0 0 0 0 0 0 0 0 0

0.9 0 0 0 0 0 0 0 0 0

0.85 0 0 0 0 0 0 0 0 0

0.8 0 0 0 0 0 0 0 0 0

0.7 0 0 0 0 0 0 0 0 0

0.6 0 0 0 0 0 0 0 0 0

0.5 0.0522 0.033 0.019 0.01 0.004 0.0012 0 0 0

0.4 0.1467 0.0972 0.063 0.0395 0.0214 0.0116 0.0044 0 0

0.3 0.2306 0.179 0.1333 0.0943 0.0623 0.0376 0.0202 0.0033 0

0.25 0.2598 0.2115 0.1651 0.1246 0.0899 0.0579 0.035 0.0084 0

0.2 0.2826 0.24 0.1967 0.157 0.1207 0.088 0.0592 0.0172 0

0.15 0.3 0.265 0.23 0.195 0.161 0.128 0.0955 0.0365 0

r/R& V1

0.2 0.4 0.5 0.6 0.7 0.8 0.9 1

1 0 0 0 0 0 0 0 0

0.9 0 0 0 0 0 0 0 0

0.85 0 0 0 0 0 0 0 0

0.8 0 0 0 0 0 0 0 0

0.7 0 0 0 0 0 0 0 0

0.6 0 0 0 0 0 0.0006 0.0067 0.0382

0.5 0 0 0.0008 0.0034 0.0085 0.0211 0.05 0.1278

0.4 0 0.0033 0.009 0.0189 0.0357 0.0637 0.1088 0.2181

0.3 0.0027 0.0148 0.03 0.0503 0.079 0.1191 0.176 0.2923

0.25 0.0031 0.0224 0.0417 0.0669 0.1008 0.1465 0.2068 0.3256

0.2 0.0049 0.0304 0.052 0.0804 0.118 0.1685 0.2353 0.356

0.15 0.0096 0.0384 0.0615 0.092 0.132 0.187 0.2642 0.386

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Values of V2:

r/R&V2 -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2 0

.9-1 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.85 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.8 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.7 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.6 0 0.1885 0.3585 0.511 0.6415 0.753 0.8426 0.9613 1

0.5 0 0.1865 0.3569 0.514 0.6439 0.758 0.8456 0.9639 1

0.4 0 0.181 0.35 0.504 0.6353 0.7525 0.8415 0.9645 1

0.3 0 0.167 0.336 0.4885 0.6195 0.7335 0.8265 0.9583 1

0.25 0 0.1567 0.3228 0.474 0.605 0.7184 0.8139 0.9519 1

0.2 0 0.1455 0.306 0.4535 0.5842 0.6995 0.7984 0.9446 1

0.15 0 0.1325 0.287 0.428 0.5585 0.677 0.7805 0.936 1

r/R&V2 0.2 0.4 0.5 0.6 0.7 0.8 0.9 1

.9-1 0.96 0.84 0.75 0.54 0.51 0.36 0.19 0

0.85 0.9615 0.845 0.755 0.6455 0.516 0.366 0.195 0

0.8 0.9635 0.852 0.7635 0.6545 0.5285 0.3765 0.2028 0

0.7 0.9675 0.866 0.785 0.684 0.5615 0.414 0.2337 0

0.6 0.969 0.879 0.809 0.72 0.606 0.462 0.272 0

0.5 0.971 0.888 0.8275 0.7478 0.643 0.5039 0.3056 0

0.4 0.9725 0.8933 0.8345 0.7593 0.659 0.522 0.3235 0

0.3 0.975 0.892 0.8315 0.752 0.6505 0.513 0.3197 0

0.25 0.9751 0.8899 0.8259 0.7415 0.6359 0.4982 0.3042 0

0.2 0.975 0.8875 0.817 0.7277 0.613 0.4777 0.284 0

0.15 0.976 0.8825 0.8055 0.7105 0.5995 0.452 0.26 0

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Y (face) = V1(tmax - t)

tmax r/R -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2

5.47 1 0 0 0 0 0 0 0 0

13.13 0.9 0 0 0 0 0 0 0 0

20.79 0.8 0 0 0 0 0 0 0 0

28.45 0.7 0 0 0 0 0 0 0 0

36.11 0.6 0 0 0 0 0 0 0 0

43.7 0.5 2.285107 1.444608 0.831744 0.43776 0.175104 0.052531 0 0

51.43 0.4 7.545779 4.999657 3.240518 2.0317536 1.100748 0.596667 0.226322 0

59.09 0.3 13.62791 10.57847 7.87771 5.57290368 3.68178 2.22207 1.193772 0.195022

66.75 0.2 18.86592 16.02202 13.13138 10.4810688 8.057739 5.874739 3.952097 1.148244

tmax 0 0.2 0.4 0.5 0.6 0.7 0.8 0.9 1

5.472 0 0 0 0 0 0 0 0 0

13.1328 0 0 0 0 0 0 0 0 0

20.7936 0 0 0 0 0 0 0 0 0

28.4544 0 0 0 0 0 0 0 0 0

36.1152 0 0 0 0 0 0 0.021669 0.241972 1.379601

43.776 0 0 0 0.035021 0.148838 0.372096 0.923674 2.1888 5.594573

51.4368 0 0 0.169741 0.462931 0.972156 1.836294 3.276524 5.596324 11.21837

59.0976 0 0.159564 0.874644 1.772928 2.972609 4.66871 7.038524 10.40118 17.27423

66.7584 0 0.327116 2.029455 3.471437 5.367375 7.877491 11.24879 15.70825 23.76599

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r/R V1+V2

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2 0

1 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.9 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.8 0 0.19 0.36 0.51 0.64 0.75 0.84 0.96 1

0.7 0 0.1885 0.3585 0.511 0.6415 0.753 0.8426 0.9613 1

0.6 0 0.1865 0.3569 0.514 0.6439 0.758 0.8456 0.9639 1

0.5 0.0522 0.214 0.369 0.514 0.6393 0.7537 0.8415 0.9645 1

0.4 0.1467 0.2642 0.399 0.528 0.6409 0.7451 0.8309 0.9583 1

0.3 0.2306 0.3357 0.4561 0.5683 0.6673 0.756 0.8341 0.9552 1

0.2 0.2826 0.3725 0.4837 0.585 0.6792 0.765 0.8397 0.9532 1

r/R V1+V2

0.2 0.4 0.5 0.6 0.7 0.8 0.9 1

1 0.96 0.84 0.75 0.54 0.51 0.36 0.19 0

0.9 0.9615 0.845 0.755 0.6455 0.516 0.366 0.195 0

0.8 0.9675 0.866 0.785 0.684 0.5615 0.414 0.2337 0

0.7 0.969 0.879 0.809 0.72 0.606 0.462 0.272 0

0.6 0.971 0.888 0.8275 0.7478 0.643 0.5045 0.3123 0.0382

0.5 0.9725 0.8933 0.8353 0.7627 0.6675 0.5431 0.3735 0.1278

0.4 0.975 0.8953 0.8405 0.7709 0.6862 0.5767 0.4285 0.2181

0.3 0.9778 0.9047 0.8559 0.7918 0.7149 0.6173 0.4802 0.2923

0.2 0.9809 0.9129 0.8575 0.7909 0.7175 0.6205 0.4953 0.356

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0 0.2 0.4 0.5 0.6 0.7 0.8 0.9 1

5.472 5.25312 4.59648 4.104 2.95488 2.79072 1.96992 1.03968 0

13.1328 12.62719 11.09722 9.915264 8.477222 6.776525 4.806605 2.560896 0

20.7936 20.11781 18.00726 16.32298 14.22282 11.67561 8.60855 4.859464 0

28.4544 27.57231 25.01142 23.01961 20.48717 17.24337 13.14593 7.739597 0

36.1152 35.06786 32.0703 29.88533 27.00695 23.22207 18.22012 11.27878 1.379601

43.776 42.57216 39.1051 36.56609 33.38796 29.22048 23.77475 16.35034 5.594573

51.4368 50.15088 46.05137 43.23263 39.65263 35.29593 29.6636 22.04067 11.21837

59.0976 57.78563 53.4656 50.58164 46.79348 42.24887 36.48095 28.37867 17.27423

66.7584 65.48331 60.94374 57.24533 52.79922 47.89915 41.42359 33.06544 23.76599

Y (back) =(V1+V2)(tmax - t)

tmax r/R -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.2

5.472 1 0 1.03968 1.96992 2.79072 3.50208 4.104 4.59648 5.25312

13.1328 0.9 0 2.495232 4.727808 6.697728 8.404992 9.8496 11.03155 12.60749

20.7936 0.8 0 3.950784 7.485696 10.604736 13.3079 15.5952 17.46662 19.96186

28.4544 0.7 0 5.363654 10.2009 14.5401984 18.2535 21.42616 23.97568 27.35321

36.1152 0.6 0 6.735485 12.88951 18.5632128 23.25458 27.37532 30.53901 34.81144

43.776 0.5 2.285107 9.368064 16.15334 22.500864 27.986 32.99397 36.8375 42.22195

51.4368 0.4 7.545779 13.5896 20.52328 27.1586304 32.96585 38.32556 42.73884 49.29189

59.0976 0.3 13.62791 19.83906 26.95442 33.58516608 39.43583 44.67779 49.29331 56.45003

66.7584 0.2 18.86592 24.8675 32.29104 39.053664 45.34231 51.07018 56.05703 63.63411

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122

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Propeller blade-A3

123

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124

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CALCULATION OF SHAFT DIAMETER (Using analytical formula)

Shaft speed, f =

=

=387.6 RPM=388 rpm

Torque, T = P

= (670*1000*60)/(2*3.1416*388)=16489.73 Nm

According to NK:

Torsional Vibration of the Shafting:

=45-24*.91=25106

N/m2

if =0.91

Stress, =

Here, = 25106

N/m2

T =16489.73 Nm

C = d/2

J = d4/32

Then, 25106

= (16489.73 *d/2)/(3.1416)*d^4/32)

d =.1498m

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Diameter of the shaft 149.8mm=150 mm

Now, l=6.15 m

Twisting Angle, =

= (16489.73*1.97)/(8.274*10^9* 4.97*10^-5) =0.018 rad =

0.804deg

J = d4/32=4.97*10^-5

MINIMUM SHAFT DIAMETER: (Using NK rule book)

ds=100*1.26*

))=136.5 mm =137 mm=140 mm

(available)

dt=119.19=120 mm here,F1=100

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t1=0.03*137+7.5=11.61 mm

t2=11.6mm

SHAFT BEARING: Guided values for the maximum permissible distance between b

design of an inland cargo vessel with 950 dwt cargo capacity

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