hydrostatics particulars

8/2/2019 Hydrostatics Particulars

1/38

0.5 , 37.3781

0.75 , 43.2824

1 , 48.832

1.5 , 59.7227

2 , 69.4654

2.5 , 77.779

3 , 84.3692

4 , 93.5306

5 , 97.5661

6 , 93.3267

7 , 77.4981

7.5 , 66.8426

8 , 54.7905

8.5 , 42.15619 , 28.772

station girth length(m) SM f(girth) station

0.5 10.8247 21.6494 1 21.6494 1 10.5456

0.75 10.6439 21.2878 4 85.1512 1.5 10.5481

1 10.5456 21.0912 1 21.0912 2 10.79

127.8918 2.5 11.1814

3 11.6055

49.02519

station girth length(m) SM f(girth) station

3 11.6055 23.211 1 23.211 7 11.2339

4 12.4409 24.8818 4 99.5272 7.5 10.6138

Light Ship Weight Calculation:


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5 12.9797 25.9594 2 51.9188 8 10.0034

6 12.5 25 4 100 8.5 9.4345

7 11.2339 22.4678 1 22.4678 9 8.8827

297.1248

455.5914

station9 8.8827

9.25 8.6508

909.5941483

71.40314064 t

43.6481352 t

115.0512758 t

station station perimeter W(x) (t/m)

0 0 0

2.3 33.5183 2.63118655

3.45 33.4168 2.6232188

4.6 33.4542 2.6261547

6.9 33.7842 2.6520597

9.2 34.45 2.704325

11.5 35.3369 2.7739466513.8 36.211 2.8425635

18.4 37.8818 2.9737213

23 38.9592 3.0582972

27.6 38 2.983

32.2 35.0777 2.75359945

34.5 33.2655 2.61134175

36.8 31.0829 2.44000765

39.1 28.515 2.2384275

41.4 25.3444 1.9895354

42.55 23.6715 1.85821275

46 0 0

weight w/o deck

weight of deck

total light ship weight


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T(m) h Lwp (m)

WL0.1 0.5 0.5 40.3627

WL0.2 1 0.5 40.9229

WL0.3 1.5 0.5 41.3118

WL0.4 2 0.5 41.6394

WL0.6 3 1 42.3236

WL0.8 4 1 44.1254WL1.0 5 1 46.1358

WL1.2 6 1 47.4869

WL1.4 7 1 48.4042

WL1.6 8 1 48.99

station station area 0 0

0.5 37.3781 0.5 174.9328

0.75 43.2824 1 242.3484

1 48.832 1.5 280.4776

1.5 59.7227 2 308.8454

2 69.4654 3 352.8134

2.5 77.779 4 396.823

3 84.3692 5 451.6794

4 93.5306 6 499.5559

5 97.5661 7 533.0569

6 93.3267 8 556.0272

7 77.4981

7.5 66.84268 54.7905

8.5 42.1561

9 28.772

T(m)

girth length(m) SM f(girth) 0.5

21.0912 1 21.0912 1

21.0962 4 84.3848 1.5

21.58 2 43.16 2

22.3628 4 89.4512 3

23.211 1 23.211 4

261.2982 5

6

200.32862 7

girth length(m) SM f(girth) 8

22.4678 1 22.4678

21.2276 4 84.9104


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20.0068 2 40.0136

18.869 4 75.476

17.7654 1 17.7654

240.6332

184.4854533

girth length(m)17.7654

17.3016

20.16353

0

100

200

300

400

500

600

0

A

wp(m^2)

0

0.5

1

1.5

2

2.5

3

3.5

0

Weight(x)(t/m)


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0

50

100

0

B

ML

(m)


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Bwp (m) Awp (m2) TPC Volume Cum. Volume(m3)

8.554 174.9328 1.7930612 48.21308333 87.4664

11.089 242.3484 2.4840711 105.5405667 193.0069667

12.09 280.4776 2.8748954 131.113225 324.1201917

12.61 308.8454 3.16566535 147.33075 471.4509417

12.974 352.8134 3.61633735 330.8259333 802.276875

13 396.823 4.06743575 373.9143 1176.19117513 451.6794 4.62971385 424.8328583 1601.024033

13 499.5559 5.120447975 476.8156083 2077.839642

13 533.0569 5.463833225 517.1839583 2595.0236

13 556.0272 5.6992788 545.4196083 3140.443208

0.5 0

2 349.8656

1 242.3484

2 560.9552

1.5 463.2681

4 1411.254

2 793.646

4 1806.718

2 999.1118

4 2132.228

1 556.0272

9315.421

3105.14 m3

3182.769 t

Perimeter of Awp (m) thk (m) SM f(volume)

82.716 0.01 0.5 0.41358

85.1038 0.01 1.5 1.276557

86.4691 0.01 1.5 1.2970365

87.5377 0.01 1.5 1.3130655

89.521 0.01 3 2.68563

93.6072 0.01 3 2.808216

99.9887 0.01 2 1.999774

105.8086 0.01 3 3.174258

109.6907 0.01 3 3.290721

111.8102 0.01 1 1.118102

19.37694 1

2

3

4

5

6

TPC


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57.04086713 t

43.6481352 t

100.6890023 t

weight w/o Deck

Weight of Deck

total light ship weight

0

0 1

0

1

2

3

4

5

0 1

VCB(m)

0

5

10

15

20

25

0

LCB(m)

Draught vs BML0

0.5

1

1.5

2

2.5

3

3.5

4

GMT

(m

)

1 2 3 4 5 6 7 8 9

Draught (m)

Draught vs Awp

5 10 15 20 25 30 35 40 45 50

Station (x) (m)

Sectional Area Curve


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1 2 3 4 5 6 7 8 9

Draught (m)

0

50

100

150

0 1

GML(m

)


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Buoyancy Cum. Buoy / Displacement(t) VCB or KB Cum. KB

49.41841042 89.65306 0.325590132 0.17947125

108.1790808 197.8321408 0.2633076 0.44277885

134.3910556 332.2231965 0.256058568 0.698837418

151.0140188 483.2372152 0.25290838 0.951745798

339.0965817 822.3337969 0.511075311 1.462821108

383.2621575 1205.595954 0.509808308 1.972629417435.4536798 1641.049634 0.510760389 2.483389805

488.7359985 2129.785633 0.508367403 2.991757208

530.1135573 2659.89919 0.505397983 3.497155191

559.0550985 3218.954289 0.496490424 3.993645615

3178.719639

0.5 174.9328 0.5 87.4664

1 242.3484 1.5 363.5226

1.5 280.4776 1.5 420.7164

2 308.8454 1 308.8454

3 352.8134 3 1058.4402

4 396.823 3 1190.469

5 451.6794 2 903.3588

6 499.5559 3 1498.6677

7 533.0569 3 1599.1707

8 556.0272 1 556.0272

7986.6844

2995.00665

3069.881816

Draught vs TPC


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2 3 4 5 6 7 8 9

Draught (m)

2 3 4 5 6 7 8 9

Draught (m)

Draught vs VCB

2 3 4 5 6 7 8 9

Draught (m)

Draught vs LCB

Draught vs GMT


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2 3 4 5 6 7 8 9

Draught (m)

Draught vs GML


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KB from CL profile Ixx or IT (m^4) IYY or IL (m^4) BMt

0.2513 613.3865 10900.7637 7.012824353

0.5035 1471.5316 16308.9191 7.624240852

0.7561 2086.8731 20162.9867 6.438577891

2577.7278 23568.5914 5.467648004

3344.2698 30162.2142 4.168473384

4054.7622 39275.7472 3.4473666244841.7173 54753.4404 3.024137801

5677.6057 70179.6185 2.732456146

6380.4044 81933.1213 2.458707659

4.1579 6892.4571 90462.2048 2.194740246

0.5

0.6

0.7

0.8

0.9

1

Cb

,Cm,

Cp

Fineness Ratios


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0

0.1

0.2

0.3

0.4

0 1 2 3 4 5 6 7 8

Cwp,

Draught (m)

0

500

1000

1500

2000

2500

3000

3500

0 1 2 3 4 5 6 7Displacement

(t)

Draught (m)

Draught vs Displacement

0

1

2

3

4

5

6

7

8

9

0 1 2 3 4 5 6 7

BMT

(m)

Draught (m)

Draught vs BMT

Drau ht vs MCT 1cm


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0

5

10

15

20

25

0 1 2 3 4 5 6 7

MCT_1

cm

Draught (m)

_


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BML LCF from AP(m) Long. Moment of Area

124.6280137 23 4023.4544

84.49912136 22.94 5559.472296

62.2083635 22.9 6422.93704

49.99160955 22.84 7054.028936

37.59576667 22.57 7962.998438

33.39231584 21.97 8718.2013134.19901217 20.83 9408.481902

33.77528135 20.06 10021.09135

31.57317001 19.88 10597.17117

28.80555348 20.15 11203.94808

C wp

C b


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9

Cm

Cp

8 9

8 9


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8 9


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Cum.Long. Moments of Volume LCB C wp C B C m C p

1109.506788 12.68494859 0.50667 0.29253 0.41475 0.70531

3533.26151 18.30639365 0.53405 0.32275 0.59419 0.54318

6538.546046 20.17321418 0.56156 0.36134 0.69475 0.5201

9907.78754 21.01552179 0.5882 0.39419 0.7591 0.51929

17429.11511 21.72456375 0.64252 0.4472 0.83535 0.53534

25775.12518 21.91406102 0.69177 0.49172 0.87644 0.5610434844.93938 21.7641576 0.75309 0.53546 0.90116 0.59419

44562.77014 21.44668397 0.80922 0.57911 0.91763 0.63109

54869.34331 21.14406332 0.84712 0.61993 0.9294 0.66702

65767.34485 20.94205833 0.87306 0.65645 0.93813 0.69974

Midship section area 97.566 m2

Lightship displacement 100.689 t 98.2332

Lightship draft 0.551007736 m

C wp 0.509459554

C B 0.295613118

C m 0.433059346

C p 0.688769777

0.6

0.8

1

1.2

)


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-0.4

-0.2

0

0.2

0.4

0

GZ

(m


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T(m) LCG from AP (m) A steel SM f(long. Moments of weight)

0.5 22.553 0.8285 0.5 73.33925496

1 22.674 0.8552 1.5 228.3267265

1.5 22.8238 0.8638 1.5 232.1464616

2 23.0091 0.8685 1.5 235.3045744

3 23.1168 0.9013 3 490.6682968

4 22.6743 0.9406 3 502.2613675 21.4752 0.9919 2 334.4296388

6 20.7203 1.057 3 515.7769597

7 20.3512 1.1021 3 528.2043046

8 20.5212 1.1157 1 179.7296973

3320.187282

Energy requir

GZ curve


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10 20 30 40 50 60 70

(deg)


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f(vert. moments) f(weight) GMT GML MCT_ 1cm

1.62593125 3.2518625 2.735518 120.3507072 2.34561069

10.06998 10.06998 3.610242 80.48512245 3.461422626

15.2568675 10.171245 2.680638 58.45042315 4.221431829

20.453175 10.2265875 1.962616 46.48657759 4.883487891

63.676845 21.225615 1.174517 34.60181002 6.185703873

88.60452 22.15113 0.963218 30.90816749 8.10060036777.86415 15.57283 1.05075 32.22562421 11.49648888

149.3541 24.89235 1.267436 32.3102608 14.95954983

181.681185 25.954455 1.499085 30.61354744 17.70194566

70.06596 8.758245 1.731608 28.34242134 19.83325189

678.6527138 152.2743

LCG = 21.80398979 m

VCG= 4.456777761 m

133417.3353 t-m

57.1028625

d to heel the ship =


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80 90 100


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deg GZ x y deg GZ

0 0 0 0

5 0.12 0.2735 0.3956 10 0.25

10 0.25 0.5512 0.4322 20 0.54

15 0.39 0.8376 0.4958 30 0.86

20 0.54 1.1363 0.5907 40 0.99

25 0.72 1.4471 0.7224 50 0.9430 0.86 1.7282 0.8554 60 0.76

35 0.95 1.9673 0.9703 70 0.49

40 0.99 2.1741 1.0762 80 0.14

45 0.99 2.3495 1.1748 90 -0.23

50 0.94 2.4967 1.2667

55 0.87 2.6212 1.3532

60 0.76 2.7275 1.4355

65 0.63 2.8191 1.5146

70 0.49 2.8988 1.5915

75 0.32 2.9686 1.6672

80 0.14 3.03 1.7427

85 0.04 3.0843 1.8189

90 -0.23 3.1321 1.8971

Angle of Vanishing

Area under the GZ curveEnergy Required to Heel the Ship


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0 0 1 0

10 0.25 3 0.75

20 0.54 3 1.62

30 0.86 2 1.72

40 0.99 3 2.97

50 0.94 3 2.8260 0.76 2 1.52 49.8375

70 0.49 3 1.47

80 0.14 3 0.42

83.793 0 1 0

13.29

0 , 0

10 , 0.25

20 , 0.54

30 , 0.86

40 , 0.99

50 , 0.94

60 , 0.76

70 , 0.49

80 , 0.14

90 , -0.23

83.7926 deg

49.7762 m-deg81685.215 t-m

801331.96 KJ


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S.No. Contents

1. Front Page

2. Acknowledgement

3. Table of Contents

4. List of Figures

5. Objective and Principal Particulars

6. Lines Plan

7. Offset Table with closing stations

8. Weight Specification and Distribution

9. Hydrostatic Particulars

9.1. Area of Water plane

9.2. Displacement / Buoyancy

9.3. Sinkage and Trim Characteristics (TPC & MCT)

9.4. Longitudinal & Vertical Centre of Buoyancy

9.5. Transverse & Longitudinal Metacentric Radius

9.6. Transverse & Longitudinal Metacentric Height

10. Fineness Ratios

11. Statistical Stability

12. Results

13. Inference


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Page

1

2

3

4

5

6

7

8

9 - 14

10

10

11

12

13

14

15

16

17

18


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S.No Name

1. Calm Water Condition

a.

b.

c.


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Page No

8


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S.No Name

I. Calm Water Condition

1. Buoyancy & Weight Distribution

2. Load Distribution

3. Shear Force Distribution

4. Bending Moment Distribution

5. Slope6. Deflection

7. Deck Stress Distribution

8. Keel Distribution

II. Sagging Condition





13. Slope

14. Deflection



III. Hogging Condition





21. Slope

22. Deflection


24. Keel DistributionIV. Pitch Condition





29. Slope

30. Deflection



V. Beam Analysis

Simply Supported Beam with Midpoint load

33. Shear Force

34. Bending Moment

35. Slope

36. Deflection

Simply Supported Beam with UDL

37. Shear Force

38. Bending Moment

39. Slope


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40. Deflection

Simply Supported Beam with UVL

41. Shear Force

42. Bending Moment

43. Slope

44. Deflection

Cantilever Beam with Midpoint load45. Shear Force

46. Bending Moment

47. Slope

48. Deflection

Cantilever Beam with UDL

49. Shear Force

50. Bending Moment

51. Slope

52. Deflection

Cantilever Beam with UVL

53. Shear Force

54. Bending Moment

55. Slope

56. Deflection

Clamped-Clamped with UDL

57. Shear Force

58. Bending Moment

59. Slope

60. Deflection

Clamped-Clamped with Midpoint Load

61. Shear Force62. Bending Moment

63 Slope

64. Deflection


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hydrostatics particulars

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