Probability Criteria for Determination of Freeboard Distribution and Analysis on Practical Ships

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TECHNICAL REPORT

STUDY ON REVIEWiNG FREEBOARDS

OF 1CLL

(2)

Report NO.5 Series

Ship

Forms for Calculation

of

Freeboard Distribution

Report No.6 Freeboard

Distribution of Series Ship

Forms by Calculation of Deck Wetness

Report No.7 Regression Analyses of Freeboard

Distribution for Series Ship Forms

Report NO.8

The

Minimum Freeboards for

Ships

at Oblique Sea

CHINA CLASSIFICATION SOCIETY

Group 1:

Study on Reviewing Freeboard s of ICLL

Report No. 5

Series Ship Forms for Calculation of

Freeboard Distribution

Abstract

Reference to Annex 2 of SLF 40/WP.4, two groups of series ship forms were

designed for calculation of freeboard distribution as follows:

Cb=0.55, 0.65, 0.75. 0.85

L/T = L/B * BIT = 7*2.5, 7*2.75, 7*3.25, 7*4.00

n = nl, n2

L = 24m, 50m, 75m, 100m, 150m, 200m, 300m

Totals of 224 ship forms.

Group Il:

Cb

0.7, 0.8, 0.9

L/T = LIB * B/T = 6*2.5, 6*2.75, 6*3.25, 6*4.00

n

nl, n2

L= 80m, 150m, 250, 350m

Totals of 80 ship forms.

Where nl and n2 are taken as follows:

The offsets in non-dimension of the series ship forms and its transverse section

lines are given in the Report.

n Cb

0.55 0.65 0.70 0.75

0.80

0.85

0.90

ni

3.97

1.00 1.00 1.00 1.00 1.00 1.00

-Diagrams of Series Ship Forms

Design of Frame for Series Ship Forms

Page 3

Page 5

Body Plans

Page 6

Page 12

Offsets

Page 13 - Page 25

Sign List

Cb

Block coefficient

L

Length of ship between perpendiculars

n

Criterion number of U/V degree of fore body

16 14 C ₁₂ 10 8 6 2 o 0.45 0.55 0.65

o

.

o

s

0.75

Cb

o

Reference ships see Report No.3

Ships of Group I O _{Ships of Group II}

8O 91 L O 90 ç.O

/

/-çt,.O O

-t,

OL 9L

/

i

c8.O 9L0 i4 9L 990 çt,.0

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I . P t 'k, 4,011111? n.

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k,.. ., . %4'k.p k, n=3.97 -.-4... -.-.---r .,... o S. k. S .' k' k' 0 1 t

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¡.2

'u 'u ' , .' . P 'k 'i, ,

II

j j r 0 j f t f

:511,

s i

-

. n .' t n=13.93

Cb=O.55

I n' I u 4 n / 2' ¿I

s

C --:

z --.----.S-. -.,---. -.-,-.. t -' 's I t "L

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-,,-_-/ , _.,. -. s s CD H C

--::

8

C

o

C

o

* _{Bilge rising of midd'e section = 0.0437 T}

Offsets of Basic Ship Forms (Ob = 0,55,n = 3.97)

St.

h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No,3WL No.4WL No.5WL No.6WL No,7WL No.8WL

F.P.

1.0/ -

-

-

-

-

0.014 19 0,159/--

-

0.017 0.047 0.070 0.088 0.107 0.123 18 0/0.014 0.023 0.043 0.085 0.141 0.176 0.204 0.231 0.250 17 0/0.014 0.063 0.112 0.176 0.257 0.304 0.339 0.372 0.394 16 0/0.014 0.126 '0.208 0.294 0.397 0.450 0.489 0.523 0.546 15 0/0.014 0.222 0.335 0.439 0.552 0.605 0.643 0.674 0.694 14 0/0.014 0.357 0.491 0.602 0.710 0.754 0.784 0.807 0.822 13 0/0.014 0.526 0.659 0.761 0.848 0.877 0.895 0.910 0.918 12 0/0.014 0.623 0.802 0.886 0.945 0.958 0.966 0.972 0.975 11 0/0.014 0.802 0.884 0.953 0.991 0.994 0.995 0.996 0.997 10 0/0.014 0.829 0.903 0.968 1.000 1.000 1.000 1.000 1.000 9 0/0.014 0.801 0.877 0.947 0.990 0.996 0.999 1.000 1.000 8 0/0.014 0,681 0.770 0.863 0.938 0.967 0.985 0.994 0.997 7 0/0.014 0.490 0.600 0,718 0.836 0.897 0.944 0.972 0.983 6 0/0.014 0.307 0.421 0.548 0.694 0.785 0.864 0.922 0.949 5 0/0.014 0.176 0.273 0.389 0.538 0.643 0.746 0.837 0.884 4 0/0.014 0.098 0.169 0.260 0.387 0.487 0.598 0.718 0.784 3 0/0.014 0.056 0.101 0.162 0.256 0,334 0.435 0.571 0.652 2 0/0.014 0.033 0.057 0.092 0.148 0.196 0.270 0.405 0.494 1 0/0.014 0.021 0.030 0.043 0.063 0.078 0.117 0.234 0.320 A.P.

0.787/-

-

-

-

-

0.070 0.142

WL/T 0.0000

0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.55,n = 13.97)

Bilge rising of middle section = 0.0437 T

14

St.

h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P.

1.0/ -

0.014 19

0.159/-

0.016 0.037 0.067 0.105 0.160 0.223 18 0/0.014 0.018 0.027 0.051 0.105 0.170 0.242 0.334 0.428 17 0/0.014 0.037 0.062 0.105 0.196 0.294 0.395 0.509 0.613 16 0/0.014 0.072 0.118 0.186 0.315 0.438 0.553 0.670 0.766 15 0/0.014 0.137 0.211 0.304 0.461 0.593 0.704 0.805 0.878 14 0/0.014 0.253 0.352 0.464 0.626 0.743 0.832 0.904 0.949 13 0/0.014 0.433 0.541 0.653 0.787 0.869 0.925 0.964 0.985 12 0/0.014 0.643 0.738 0.830 0.915 0.954 0.978 0.992 0,997 11 0/0.014 0.792 0.870 0.940 0.985 0.993 0.998 0.999 1.000 10 0/0.014 0.829 0.903 0.968 1.000 1.000 1.000 1.000 1.000 9 0/0.014 0.801 0.877 0.947 0.990 0.996 0.999 1.000 1.000 8 0/0.014 0.681 0.770 0.863 0.938 0.967 0.985 0.994 0.997 7 0/0.014 0.490 0.600 0,718 0.836 0.897 0.944 0.972 0.983 6 0/0.014 0.307 0.421 0.548 0.694 0.785 0.864 0.922 0.949 5 0/0 014 0.176 0.273 0.389 0.538 0.643 0.746 0.837 0.884 4 0/0.014 0.098 0.169 0,260 0.387 0.487 0.598 0.718 0.784 3 0/0.014 0.056 0.101 0.162 0.256 0.334 0.435 0.571 0.652 2 0/0.014 0.033 0.057 0.092 0.148 0.196 0.270 0.405 0.494 1 0/0.014 0.021 0.030 0.043 0.063 0.078 0.117 0.234 0.320 A.P.

0.787/-

-

-

-

0.070 0.142

WUT 0.0000

0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms

(Cb = 0.65,n = 1.00)

St.

h/b

atBL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No4WL No.5WL No.6WL No.7WL No.8WL

FR

1.000/-

-

-

-

-

0.014 19 0/0.012 0.057 0.076 0.100 0.117 0.123 0.125 0.130 0.135 18 0/0.030 0.128 0.170 0.220 0.262 0.278 0.288 0.295 0.308 17 0/0.081 0.220 0.285 0.360 0.430 0.459 0.477 0.492 0.508 16 0/0.177 0.348 0.425 0.520 0.602 0.640 0.662 0.681 0.694 15 0/0.302 0.500 0.580 0.675 0.760 0.798 0.818 0,830 0.842 14 0/0.446 0.622 0.710 0.805 0.878 0.908 0.920 0.925 0.930 13 0/0.582 0.740 0.817 0.895 0.953 0.965 0.972 0.977 0.978 12 0/0.686 0.835 0.895 0.955 0.985 0.990 0.992 0.995 0.997 11 0/0.738 0857 0.908 0.965 1.000 1.000 1.000 1.000 1.000 10 0/0.739 0.867 0.915 0.970 1.000 1,000 1.000 1.000 1.000 9 0/0.724 0.855 0,903 0.960 1.000 1.000 1.000 1.000 1.000 8 0/0.681 0.825 0.874 0.936 0.982 0.998 1.000 1.000 1.000 7 0/0.597 0.734 0.801 0.885 0.950 0.980 0.990 0.997 0.998 6 0/0.487 0.635 0.700 0.784 0.872 0.925 0.955 0.977 0.984 5 0/0.364 0.510 0.571 0.652 0.751 0.823 0.880 0.925 0.949 4 0/0.238 0.370 0.426 0.496 0.585 0.670 0.753 0.830 0.875 3 0/0.126 0.238 0.285 0.342 0.415 0.483 0.572 0.678 0.755 2 0/0.049 0.125 0.158 0.195 0.235 0.275 0.340 0.465 0.572 1 0/0.012 0.040 0.060 0.073 0.085 0.098 0.120 0.213 0.331 A.P. 0.906/-

-

-

-

-

0.084

WUT

0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.65,n 11.18) 16 St. h/b atB.L.

Haft Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P.

1.000/-

-

-

-

-

-

-

-

0.014 19

0.081/-

0.015 0.033 0.077 0.129 0.189 0.255 0.313 18 0/0.015 0.053 0.080 0.126 0.214 0.304 0.396 0.488 0.562 17 0/0.019 0.116 0.167 0.243 0.370 0.484 0.588 0.683 0.751 16 0/0.030 0.207 0.282 0.384 0.535 0.653 0.750 0.828 0.878 15 0/0.062 0.329 0.423 0.541 0.694 0.797 0.870 0.923 0.952 14 0/0.150 0.482 0.582 0.699 0.830 0.902 0.947 0.974 0.986 13 0/0.334 0.645 0.735 0.835 0.928 0.965 0.985 0.995 0.998 12 0/0.573 0.783 0.851 0.926 0.981 0.993 0.998 1.000 1.000 11 0/0.720 0.858 0.909 0.966 0.998 1.000 1.000 1.000 1.000 10 0/0.741 0.871 0.918 0.971 1.000 1.000 1.000 1.000 1.000 9 0/0.734 0.866 0.915 0.969 0.999 1.000 1.000 1.000 1.000 8 0/0.697 0.837 0.889 0.949 0.988 0.994 0.997 0.999 1.000 7 0/0.620 0.767 0.825 0.895 0.949 0.969 0.983 0.991 0.995 6 0/0.514 0.661 0.721 0.799 0,872 0.910 0.941 0.964 0.979 5 0/0.397 0.530 0.589 0.669 0.754 0.809 0.860 0.904 0.938 4 0/0.284 0.394 0.445 0.517 0.603 0.668 0.734 0.802 0.861 3 0/0.187 0.266 0.304 0.361 0.434 0,496 0.566 0.654 0.739 2 0/0.107 0.153 0 177 0.213 0.263 0.308 0.367 0.465 0.571 1 0/0.044 0.061 0.069 0.082 0.102 0.121 0.153 0.246 0.361 AP.

0.874/-

-

-

-

0.014 0.122 WUT 0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.75,n = 100) 17 St. h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No4WL No5WL No.6WL No.7WL No.8WL

F.P. 1000/-

-

-

-

--

0.014 19 0/0.054 0.143 0.177 0.228 0.265 0.280 0.288 0.297 0.304 18 0/0.190 0.345 0.399 0.470 0.533 0.565 0.581 0.596 0.608 17 0/0.376 0.545 0.607 0.680 0.747 0.780 0.800 0.816 0.824 16 0/0.565 0.715 0.768 0.835 0.893 0.914 0.926 0.937 0,943 15 0/0.713 0.830 0.884 0.938 0.968 0.978 0.985 0.988 0.990 14 0/0.790 0.900 0.938 0.978 0.999 1.000 1.000 1.000 1.000 13 0/0.807 0.920 0.955 0.990 1.000 1.000 1.000 1.000 1.000 12 0/0.807 0.920 0.955 0.990 1.000 1.000 1.000 1.000 1.000 11 0/0.807 0.920 0.955 0.990 1.000 1.000 1.000 1.000 1.000 10 0/0.807 0.920 0.955 0.990 1.000 1.000 1.000 1.000 1.000 9 0/0.807 0.920 0.955 0.990 1.000 1.000 1.000 1.000 1.000 8 0/0.795 0.900 0.943 0.985 1.000 1.000 1.000 1.000 1.000 7 0/0.738 0.870 0.913 0.957 0.988 0.998 1.000 1.000 1.000 6 0/0.633 0.773 0.825 0.893 0.953 0.980 0.988 0.993 0.996 5 0/0.494 0.645 0.703 0.777 0.860 0.913 0.945 0.967 0.975 4 0/0.339 0.492 0.545 0.618 0.715 0.790 0.850 0.893 0.921 3 0/0.195 0.325 0.376 0.443 0.525 0.600 0.687 0.769 0.817 2 0/0.085 0.183 0.218 0.264 0.315 0.375 0.456 0.578 0.660 1 0/0.023 0.064 0.084 0.102 0.115 0.138 0.184 0.305 0.427 AP. 0.906/-

-

-

-

-0.115 WLrr 0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Ob = 0.75,n = 7.31) 18 St. h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P. 1.000/-

-

-

--

0.014 19 0.001/- 0.036 0.057 0.107 0.197 0.273 0.343 0.423 0.483 18 0.000/- 0.146 0.206 0.318 0.478 0.592 0.683 0.765 0.816 17 0/0.121 0.300 0402 0.554 0.735 0.837 0.903 0.947 0.968 16 0/0.246 0.495 0.623 0.771 0.911 0.965 0.988 0.997 0.999 15 010.441 0.699 0.816 0.919 0.986 0.998 1.000 1.000 1.000 14 0/0.663 0.852 0.926 0.982 1.000 1.000 1.000 1.000 1.000 13 0/0,794 0.914 0.955 0.992 1.000 1.000 1.000 1.000 1.000 12 0/0.807 0.918 0.956 0.993 1.000 1.000 1.000 1.000 1.000 11 0/0.807 0.918 0.956 0.993 1.000 1.000 1.000 1.000 1.000 10 0/0.807 0.918 0.956 0.993 1.000 1.000 1.000 1.000 1.000 9 0/0.807 0.918 0.956 0.993 1.000 1.000 1.000 1.000 1.000 8 0/0.781 0.903 0.945 0.987 0.999 1.000 1.000 1.000 1.000 7 0/0.710 0.850 0.903 0.957 0.987 0.995 0.998 0.999 1.000 6 0/0.596 0.751 0.815 0.887 0.945 0.971 0.985 0.992 0.995 5 0/0.462 0.616 0.685 0.772 0.858 0.908 0.943 0.964 0.976 4 0/0.329 0.465 0.630 0.619 0.722 0.791 0.849 0.894 0.924 3 0/0.214 0.316 0.368 0.444 0.543 0.619 0.693 0.765 0.822 2 0/0,120 0,182 0.216 0.267 0.340 0.402 0.473 0.571 0.659 1 0/0.048 0.070 0.083 0.103 0.133 0.161 0.205 0.314 0.431 AP. 0.874/-

-

-

0.014 0.148

WUT

0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.85,n = 1.00)

St.

h/b

at B.L.

Half Breadth of WaterUne

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P.

1.000/-

-

-

-

-

'-

-

0014

19 0/0.291 0.434 0.496 0.566 0.622 0,636 0.628 0.620 0.618 18 0/0.633 0.765 0.813 0.865 0.906 0.921 0.926 0.932 0.939 17 0/0.082 0.921 0.950 0.975 0.990 0.994 0.997 0.998 0.999 16 0/0.895 0.973 0.992 0.998 1.000 1.000 1.000 1.000 1.000 15 0/0.912 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 14 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 13 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 12 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 11 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 10 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 9 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 8 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 7 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 6 0/0.890 0.973 0.992 1.000 1.000 1.000 1.000 1.000 1.000 5 0/0.777 0.901 0.938 0.985 0.999 1.000 1.000 1.000 1.000 4 0/0.584 0.742 0.799 0.890 0.960 0.988 0.998 1.000 1.000 3 0/0.372 0.522 0.587 0.685 0.791 0.860 0.911 0.951 0.972 2 0/0.191 0.293 0.344 0.415 0.501 0.560 0.619 0.721 0.789 1 0/0.056 0.094 0.118 0.149 0.183 0.191 0.209 0.356 0.460

AP.

0.874/-

-

-

-

0.014 0.128 WL/T 0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.85,n 4.49) 20 St. h/b at B.L.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P.

1.000/-

-

-

-

-

0.014 19 0/0.084 0.216 0.300 0.408 0.558 0.671 0.768 0.850 0.593 18 0/0.310 0.538 0.646 0.774 0.901 0.964 0.991 0.999 1.000 17 0/0.579 0.796 0.875 0.956 0.995 1.000 1.000 1.000 1.000 16 0/0.803 0.939 0.976 0.998 1.000 1.000 1.000 1.000 1.000 15 0/0.902 0.980 0.997 1.000 1.000 1.000 1.000 1.000 1.000 14 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 13 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 12 0/0.914 0.983 0.998 1,000 1.000 1.000 1.000 1.000 1.000 11 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 10 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 9 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 8 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 7 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 6 0/0.890 0.973 0.992 1.000 1.000 1.000 1.000 1.000 1.000 5 0/0.777 0.901 0.938 0.985 0.999 1.000 1.000 1.000 1.000 4 0/0.584 0.742 0.799 0.890 0.960 0.988 0.998 1.000 1.000 3 0/0.372 0.522 0.587 0.685 0.791 0.860 0.911 0.951 0.972 2 0/0.191 0.293 0.344 0.415 0.501 0.560 0.619 0.721 0.789 1 0/0.056 0.094 0.118 0.149 0.183 0.191 0.209 0.356 0.460 A.P.

0.874/-

-

-

-

-

0.014 0.128 WUT 0.0000 0.0437 0.0874 0.1748 0,3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.70. ri 1.00)

St.

h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P.

1.000/-

-

-

-

0.014 19 0/0.030 0.080 0,108 0.140 0.170 0.180 0.185 0.190 0.194 18 0/0.077 0.205 0.257 0.320 0.370 0.390 0.405 0.417 0.430 17 0/0.184 0.365 0.430 0.510 0.575 0.600 0.622 0.640 0.655 16 0/0.337 0.515 0.595 0.685 0.750 0.780 0.800 0.817 0.827 15 0/0.498 0.685 0.745 0.820 0.885 0.908 0.920 0.928 0.935 14 0/0.640 0.785 0.848 0.910 0.960 0.970 0.980 0.984 0.985 13 0/0.724 0.860 0.910 0.960 0.990 0.994 0.997 1.000 1.000 12 0/0.770 0.900 0.938 0.980 1.000 1.000 1000 1.000 1.000 11 0/0.771 0.900 0.938 0.980 1.000 1.000 1.000 1.000 1.000 10 0/0.771 0.900 0.938 0.980 1.000 1.000 1.000 1.000 1.000 9 0/0.771 0.900 0.938 0.980 1.000 1.000 1.000 1.000 1.000 8 0/0.741 0.865 0.917 0.970 1.000 1.000 1.000 1.000 1.000 7 0/0.659 0.810 0.865 0.925 0.980 0.997 1.000 1.000 1.000 6 0/0.544 0.705 0.770 0.845 0.925 0.960 0.975 0.984 0.991 5 0/0.410 0.575 0.640 0.715 0.820 0.880 0.918 0.945 0.961 4 0/0.265 0.420 0.486 0.560 0.660 0.740 0.810 0.865 0.897 3 0/0.143 0.265 0.325 0.390 0.470 0.545 0.630 0.725 0.788 2 0/0.059 0.145 0.184 0.220 0.270 0.322 0.395 0.515 0.614 1 0/0.018 0.050

0065

0.080 0.095 0.110 0.140 0.255 0.368

AP.

0.906/-

-

0.089 WL/T 0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms

(Ob 0.70,n 9.02)

St.

h/b

at B.L.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.F.

1.000/-

-

-

-

-

-

0.014 19

0.024/-

0.018 0.029 0.054 0.111 0.176 0.247 0.321 0.392 18 0/0.021 0.072 0.114 0.178 0.296 0.408 0.514 0.612 0.689 17 0/0.041 0.156 0.233 0.340 0.510 0.638 0.744 0.826 0.879 16 0/0.088 0.282 0.389 0.533 0.721 0.828 0.901 0.947 0.970 15 0/0.197 0.453 0.573 0.728 0.885 0.946 0.977 0.992 0.997 14 0/0.402 0.650 0.754 0.882 0.973 0.992 0.998 1.000 1.000 13 0/0.643 0.814 0.883 0.962 0.998 1.000 1.000 1.000 1.000 12 0/0.764 0.888 0,933 0.982 1.000 1.000 1,000 1.000 1.000 11 0/0.772 0.893 0.936 0.982 1.000 1.000 1.000 1.000 1.000 10 0/0.772 0.893 0.936 0.982 1.000 1.000 1.000 1.000 1.000 9 0/0.771 0.893 0.936 0.982 1.000 1.000 1.000 1.000 1.000 8 0/0.749 0.878 0.925 0.976 0.999 1.000 1.000 1.000 1.000 7 0/0.667 0.816 0.874 0.937 0.982 0.993 0.998 0.999 1.000 6 0/0.537 0.701 0.769 0.850 0.925 0.959 0.979 0.989 0.993 5 0/0.392 0.553 0.625 0.715 0.817 0.877 0.921 0.948 0.964 4 0/0.264 0.399 0.465 0.551 0.661 0.738 0.805 0.856 0.894 3 0/0.163 0.261 0.311 0.380 0.477 0.553 0.629 0.705 0.768 2 0/0.089 0.146 0.177 0.221 0.287 0.343 0.409 0.500 0.588 1 0/0.037 0.057 0.068 0.084 0.109 0.132 0.169 0.261 0.364

AP.

0.874/-

-

-

0.014 0.120

WUT 0.0000

0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb 0.80,n = 1.00) 23 St. h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

FR

1.000!-

-

-

-

0.014 19 0/0.136 0.270 0.328 0.397 0.462 0.490 0.503 0.513 0.522 18 0/0.360 0.510 0.585 0.665 0.738 0.776 0.803 0.818 0.830 17 0/0.592 0.730 0.778 0.838 0.895 0.922 0.945 0.958 0.964 16 0/0.768 0.875 0.910 0.950 0.976 0.988 0.992 0.995 0.999 15 0/0.842 0.945 0.975 0.998 1.000 1.000 1,000 1.000 1.000 14 0/0.850 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 13 0/0.850 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 12 0/0.850 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 11 0/0.850 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 10 0/0.850 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 9 0/0.850 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 8 0/0.847 0.945 0.975 0.998 1.000 1.000 1.000 1.000 1.000 7 0/0.814 0.915 0.960 0.985 1.000 1.000 1.000 1.000 1.000 6 0/0.729 0.840 0.890 0.935 0.975 0.992 1.000 1.000 1.000 5 0/0.583 0,715 0.776 0.835 0.905 0.945 0.965 0.982 0.988 4 0/0.413 0.560 0.620 0.685 0,770 0.840 0.888 0.922 0.941 3 0/0.257 0.390 0.438 0.502 0.588 0.670 0.742 0.810 0.851 2 0/0.124 0.225 0.265 0.310 0.370 0.440 0.530 0.638 0.712 1 0/0.038 0.085 0.105 0.123 0.144 0.173 0.235 0.385 0.503 AP.

0.906/-

-

-

-

-

-

0.160

WUT 0.0000

0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Ob = 0.80, n = 6.43) 24 St. h/b at BL.

Half Breadth of Waterline

No.1WL No.2WL No.3WL No.4WL No.5WL No.6WL No.7WL No.8WL

F.P. 1.0001-

-

-

-

0.014 19

0.001/-

0.064 0.115 0.206 0.349 0.469 0.587 0.688 0.763 18 0/0.135 0.302 0.409 0 551 0.736 0.847 0.923 0.965

0984

17 0/0.319 0.568 0.682 0.808 0.942 0.984 0.997 1.000 1.000 16 0/0.546 0.795 0.874

0948

0.997 1.000 1.000 1.000 1.000 15 010.747 0.917 0.960 0.994 1.000 1.000 1.000 1.000 1.000 14 0/0.841 0.946 0.977 1.000 1.000 1.000 1.000 1.000 1.000 13 0/0.850 0.947 0.977 1.000 1.000 1.000 1.000 1.000 1.000 12 0/0.850 0.947 0.977 1.000 1.000 1.000 1.000 1.000 1.000 11 0/0.850 0.947 0.977 1.000 1.000 1.000 1.000 1.000 1.000 10 010.850 0.947 0.977 1.000 1.000 1.000 1.000 1.000 1.000 9 0/0.850 0.947 0.977 1.000 1.000 1.000 1.000 1.000 1.000 8 0/0.843 0.943 0.974 0.998 1.000 1.000 1.000 1.000 1.000 7 0/0.801 0.915 0.952 0.982 0.995 0.998 1000 1.000 1.000 6 0/0.714 0.845 0.891 0.931 0.967 0.984 0.994 0.998 0.999 5 0/0.588 0.728 0.781 0.833 0.894 0.935 0.965 0.984 0.993 4 0/0.444 0.576 0.630 0.687 0.766 0.829 0.888 0.936 0.966 3 0/0.301 0.407 0.454 0.506 0.585 0.659 0.740 0.828 0.895 2 0/0.173 0.242 0.273 0.311 0.371 0.433 0.516 0.640 0.753 1 0/0.067 0.092 0.105 0.120 0.145 0.174 0.226 0.364 0.520

AP.

0.874/-

-

-

0.014 0.186

WL/T 0.0000

0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Offsets of Basic Ship Forms (Cb = 0.90,n = 1.00)

h/b Ha'f Breadth of Waterline

St. at BL. No.1WL No.2WL No.3WL No.4WL No.SWL No.6WL No.7WL No.SWL

F.P.

1.000f-

-

-

-

-

0.014 19 0/0.230 0.781 0.831 0.881 0.912 0.923 0.928 0.945 0.965 18 0/0.869 0.952 0.975 0.991 0.998 1.000 1.000 1.000 1.000 17 0/0.910 0.981 0.997 1.000 1.000 1.000 1.000 1.000 1.000 16 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 15 0/0.914 0.983 0.998 1000 1.000 1.000 1.000 1.000 1.000 14 0/0.914 0.983 0998 1.000 1.000 1.000 1.000 1.000 1.000 13 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 12 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 11 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 10 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 9 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 8 0/0.914 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 7 0/0.913 0.983 0.998 1.000 1.000 1.000 1.000 1.000 1.000 6 0/0.907 0.982 0.998 1.000 1.000 1.000 1.000 1.000 1.000 5 0/0.870 0.967 0.989 0.997 0.999 1.000 1.000 1.000 1.000 4 0/0,778 0.911 0.946 0.971 0.988 0.994 0.996 0.997 0.997 3 0/0.614 0.777 0.829 0.878 0.924 0.949 0.962 0.965 0.967 2 0/0.387 0.539 0.599 0.661 0.734 0.781 0.816 0.839 0.860 1 0/0.122 0.191 0.227 0.268 0.319 0.352 _{0.391 0.541 0.620}

AP.

0.874/-

-

-

0.014 0.221 WUT 0.0000 0.0437 0.0874 0.1748 0.3497 0.5245 0.6993 0.8741 1.000

Study on Reviewing Freeboards

of TCLL

Report No. 6

Freeboard Distribution of Series Ship Forms

by Calculation of Deck Wetness

Abstract

For the two groups of series ships forms, the

freeboards at positions of seven

stations including bow height, freeboard at amidship and the length of forecastle for

the given ratios of L/D, have been obtained by calculation of deck wetness according

to the method and computing

conditions defined in the Report No.1 to Report No.3.

The results of freeboard distribution are presented in

series diagrams as follows:

* Diagrams of bow height Fb with L, Cb, n and L/T;

* Diagrams of freeboard at amidship with L, Cb, n and L/T for type A and type

B

ships;

Diagrams of Freeboards Distribution

for Series Ship Forms

Diagrams of Freeboards Distribution & Length of Forecastle

for Group t (Cb = 0.55

0.85)

Page 4

Page 27

Diagrams of Freeboards Distribution & Forecastle Length

for Group II (Cb = 0.70

0.90)

Page 29

Page 47

Sign List

Cb

Block coefficient

D

Depth of ship

Fb

Bow height

Fma

Freeboard at amidship for Type A ships

Fmb

Freeboard at arnidship for Type B ships

F2

Freeboard at the position of L/6 from F.P.

F3

Freeboard at the position of L/3 from F.P.

'F

Ratio of forecastle length over ship length

L

Length of ship between perpendiculars

n

Criterion number of U/V degree of fore body

Group I ( Cb = 0.55

0.85)

Curves of Fb, Fnia, Fmb L

Page4

Page 19

Curves of Fb Cb Page2O

Page2l

Curves ofFb

LIT Page 22 Page 23

Cun'esof1

L

E -o u-«i E

u-i

5 4 3 2 o o o o

-.-n=a97

-o- n = 13.93

-.-n=3.97

.o-n= 13.93 4

Cb=0.55 L/T=17.50

-o LL -o E u- ₅ 4 3 2 50 100 150 200 250 300 350

L(m)

Cb=O.55 L/T= 17.50

50 100 150 200 250 300 350

L(m)

u-E u-9

-.-n=3.97

-o- n = 1393

-o-n=1393

Cb=0.55 L/T=19.25

200 250

L(m)

Cb0.55 L/T=1a25

300 350 9 8 4 3 2

i

0-o 50 100 150 200 250 300 350

L(m)

-o LL E LL

I

8 7 5 2

-..n=3.97

I -o-n=13.93 9

-.-fl397

1393 6

Cb=O.55 L/T=2215

Cb=0.55 L/T=22.75

50 100 150 200 250 300 350

L(m)

50 100 150 200 250 300 350

L(m)

i

8

4

3

2

o

o

Cb=OE55 L/T=28.00

7

Cb=O.55 L/T=28.00

9 ....n=3.97 -on= 13.93 50 100 150 200 250 300 350

L(m)

LL

E

L. 5

Li-E LL 5 4

3

2

i

o 8 s

Cb=O.65 L/T=17.50

Cb=0.65 L/T=17.50

9 -

-.-ri=1.00

-o-n=1 1.18 0 50 100 150 200 250 300 350

L(m)

-Q LL E LL ₅ 3 2 1 8 4

.-n=1.00

-o- n = 11.18

Cb=O.65 L/T=19.25

9

L(m)

Cb=O.65 L/T=19.25

o o 50 100 150 200 _{250 300 350}

8 4 3 2

i

o o 9

.-n=1.00

on=1i.18

1.00 .o.n=1 1.18 lo

Cb=0.65 L/T=22.75

Cb=0.65 L/T=22.75

.0

9 8 LL

.0

E u- ₅

4-3 2

i

50 100 150 200 250 300 350

L(m)

o o 50 100 150 200 250 300 350 L (m)

9 8 o o 4 3 2

i

o o

-.-n=i.00

-on=11.18

50 100 150 200

L(m)

-.-n=100

o-n=11.l8

r I 50

loo

150 11 200

L(m)

Cb=0.65 L/T=28.00

250 250 300 350

Cb=O.65 L/T=28.00

300 350 9 8 LL Cu E LL 5 4 3 2

i

8 5 4 3 2

i

o o 50 100 150 9 -o- n = 731 200 L (m)

Cb0.75 L/T=17.50

250 300 350

Cb=O.75 L/T=17.50

.-n=1.00

o.n=731

12 -o 9 8 IL -o E IL ₅

4

3 2

i

o o 50 100 150 200 250 300 350

L(m)

n

a3 E LL 5 4 3 2 1 9 8 4 3 2

i

o o 8

n

Li

n

E u-o

o

-,-II i.;ju

on=731

50 100 150

Cb=0.75 L/T=19.25

9 -f-.-n=1.00 Jo.n=7.31 50 100 150 200 250 300 350

L(m)

13 200

L(m)

Cb=0.75 L/T=19.25

250 300 350

9 8 E 7 u-E u- 5 4 3 2

i

9 8 u--O E u-o o 4 3 2

i

o o ..-n=-1.uu 7.31 L 50

ioo

iso

-.- ii 1.00 o-n= 7.31 14 200

L(m)

Cb=O.75 L/T=22.75

250 300 350

Cb = 0.75 L/T = 22.75

L (m) 50 100 150 200 250 300 350

9 8 5 4 3 2

i

9 8 o o 4 3 2

i

..-n=1.uu

on=731

50 100 150 .- n =1.00

.on731

200

L(m)

Cb=0.75 L/T=28.00

250 300 350

Cb=0.75 L/T=28.00

o o 50 100 150 200 250 300 350

L(m)

-o LL E LL

i

8 5 4 3 2

i

o o s 5 4 3 2 o

r=1.00

.0-n=4.49 50 100 150 0 50 100 150 16 200 L (m)

Cb=0.85 L/T=17.50

9_

I 250 300 350

9

n=1.00.

Ob =0.85 L/T= 17.50

.0-n=4.49 200 250 300 350

L(m)

u-ct E 8 7 6 5 4 3 2

i

o o 9 4 3 2

i

o o

Cb0.85 LfT= 1925

J-Cb=0.85 L/T=1925

.-n=i.ou

-o-n = 4.49 50 100 150 200 250 300 350

L(m)

17 9

-v-n-1.00

j.o.n=4.49 50 100 150 200 250 300 350 L (m)

9 8 4 3 2

i

n = 1.00 .0-n=4_49 50 100 150 18 L (m) 200

L(m)

Cb=0.85 L/T=22.75

Cb=0.85 L/T=22.75

250 300 350 o o 50 100 150 200 250 300 350

i

o o g

'-.-n=l.00

8 -o LL .0 E u- ₅ 4 3 2

i

9 8 5 4 3 2 o o

-.-n=1.00

.0-n 449

50 100 150 200

L (m)

50 100 19

Cb=085 L/T=28.00

250 300 350

Cb=O.85 L/T=28.00

.0-fl449

150 200 250 300 350

L(m)

-.-n=nuvl

9 _on=flUV2 8 7 E u.. 6 5 4 3 2

i

7

u-6

5 4 3 2

i

o

05

.nrnuv1

9

onuv2

Cb D D D 0.55 0.6 D D D 0.65 20 D D

L/T= 17.50

L/T= 19.25

D D D 0.9 0.7 0.75 0.8 0.85 Cb o

05

0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9

9 8 7 5 4 2

i

o

05

-.-n=nuvl

n=nuv2 D D

---D---D

D D 0.55 -..-n=nuvi

on=fluv2

D D 0.6 D C 0.65 C C C C 21 0.7 C 0.75 C Cb Cb 0.8

L/T = 22.75

C D R D 0.85

L/T=28.00

C 0.9 D

a

3 R D C D

E u-5 4 3 2

i

o-17

.n=nuvi

o n=nuv2

G

o--o

o

-

G

-o---o

o---o---G

O-L/T

Cb =0.55

-o o -o 19 21 23 25 L/T -'7 27 29 - _o.

_o

-.-n=nuvl

9

_on=nuv2

8

Cb =0.65

7

g

u-6

8

7

.-n=nuvl

9:-

onnuv2

7 8 E LL. 6 2 I

5o---o

-o

o 17

o

o...

19

---

o-L/T

Cb =0.75

5E°---o---

4o---o...

3:-

----o

-O 21 ₂₃ L/T 25 27 29 o--o 4 3 2 1 o 17 19 21 23 25 27 29

.-n=nuvl

_{Ob =0.85}

9

_on=nuv2

o 02 o 03 < 'OC .

L

'o

..

.2Çb

t.)

Cß

'22.7S

3oo i 02 0.3 'o ¿OC LIT =1Z

L(n)

_{L (nì'} r TypeA typ

n, -- _____

ni ft.

yp S

't,

-

f

-ft.

TyA

Types

nl H

n2

-.04 03

I

Type. B C6 -a, ni o. a

oçi

2F

03 _{o. 04 o.} 03

.T--L'--.i

L I L --r-I '.

-L.

0 03 02

TT

Type A

r

TpeF

L O)

b LIT ¿ 22.7S 04 I, 100 00 25V C82r '&5 (Z. T/pe A Type B (t4

--4--1. Type A Type 13 .L.

-_.i.__

!L.

Type A Type B (i4 (Li Q leo 2.0 2 Ç

D

Ö. 2

4. o.

öl-o o.

j

ß I°7 u1rtZ5L7 1m)

y

.,

o,3 '4'r PF o. I i. -L.n, c8= o,ïc

i/T2aQ

r Typ. A Type B Ri n. Type A

Typ b

n, nl ti. Typ1 A îyp B RI

J-n2

4

-Typel B A Type ¡t n,' tl.z

. 3 O. 2F SO

Eì

YT117;o L

t

- ! -I

--L- L

22.7

H

L 2.ço .3 0.z 04 I. '2

CBB

_Lm)

Ç o.8 L 'n) t . TL TypeA Type 5 n.1

nl

-i---fl Type A Type B ri-I

ni

---n. Type. .4 Type1 B n'

-j---t'i

-f---

---i--n. TypeA

Types

It' fi-z

--.-_

Group II ( Ch = 0.70

0.90)

Curves ofFb,Fma,Frnb - L

Page 29 Page 40

Curves ofFb

Cb

Page 41 Page 42

Curves ofFb

LIT

Page 43 Page 44

CurvesofI

L

Page 45 Page 47

9 -o-n = 9.02

e-fl-1.00

-o- n = 902 200

L(m)

Cb=0.70 L/T=15.00

Cb=O.70 L/T=15fl0

29 50 100 150 9 8 -o LL -o E u- ₅ 4 3 2

i

o o

250

300

350

o o

2-1

o o =1.00

o-n=9.02

n =1.00

o.n=9.02

50 100 150 200 250 300 350 L (m) 30

Cb=O.70 L/T=16.50

Cb=O.70 L/T=16.50

50 100 150 200 250 300 350

L(m)

.0 LL .0 E LI..

5-

4-3

4 3 2

i

9

-n1001---o-n =9.02 8 4 3 2

i

o o 8 o o

50

100

Cb=0.70 L/T=19.50

9

-.n=1.00

-o-n =9.02 50 100 150 150 31 200 L (m)

Cb=Q.70 L/T=19.50

250 300 ) 350 250 300 350 200

L(m)

-a LL E 5 4 3 2

i

8 5 4 3 2 1 9

-.-n=1.00

o-n = 902 8 o o

Cb=0.70 L/T=24.00

-o.n=9.02 32

Cb=0.70 L/T=24.00

o o 50 100 150 200

L(m)

250 300 350 50 100 150 200 L (m) 250 300 350

i

i

8 u--a E u-4 3 2

Cb=0.80 L/T=15.00

50 100 150 200 250 300 350

L(m)

Cb=O.80 L/T=15.00

9 -

-.-n=1.00

.0-n =643 o o 50 100 150 200 250 300 350

L(m)

33

34

Cb=0.80 L/T=16.50

-.-n = 1.00

Cb 0.80 L/T =16.50

n=6.43

.0

u--9 8 .0 E u- 5 4 3 2

i

o o 50 100 150 200 250 300 350

L(m)

o 50

loo

150 200 250 300 350 L (m) 9 8 -o IL E u-4 3 2

i

o

0 50 100 150 200 250

300

350 L (m) o L 0 50 35

Cb=0.80 L/T=19.50

Cb=0.80 L/T=19.50

) 9

-.-n=1.00

-on = 6.43 8 -o LL u-5 4 3 2

i

o -o u--o 9 8 o-n =6.43 E u- ₅

4

3 2

i

250 300 350 100 150 200

L (m)

j:

5 4 3 2

i

9

J_100L

-

-o-n=643

o 0 50 9

.-n=1.00

.on=6.43

8 4 3 2

i

O 0 50 100 36 150 200

L(m)

200 L (m)

CbO.80 L/T=24.00

Cb=0.80 L/T=24.00

250

300

350

8 100 150 250

300

350

o 9 8 5 4 3 2

i

o 37

L(m)

0 50 100 150 200 250 300 350

L(m)

Cb=0.90 L/T=15.00

-.- n =1.00 I I O 50 100 150 200 250 300 350

Cb=O.90 L/T=15.00

9 _{.- n}

_=1.00

8 u-E LL 5 4 3 2 1

0 50 100 150 200 250 300 350

L(m)

38 LL. ca E u--o u--o E IL 9 8 5 4 3 2

i

o 9 8 4 3 2

i

o

Cb=O.90 L/T=16.50

.- n =1 00 0 50 100 150 200

L(m)

250 300 350

Cb=090 L/T=16.50

-.-n=1.00

I I i

9 8 E u- ₅ 4 3 2 1 9 8 o 0 50 100 150 200 250 300 350

L(m)

Cb=O.90 L/T=19.50

S 4 3 2

i

o

Cb=0.90 L/T=19.50

tOO

= 1.00 0 50 100 150 200 250 300 350

L(m)

39

9 8

u-

-E u- 5 4 3 2

i

o

Cb=0.90 L/T=24O0

=1_00 0 50 100 150 200 250 300 350

L(m)

.-n=1.00

0 50 100 150 200 250 300 350

L(m)

40

Cb=0.90 L/T=24.00

9 8 u-co E u-4 3 2

i

o

5 5

4

-

3-o

.-n=nuvi

on=nuv2

0.65

.-n=nuvi

o n = nuv2

8-- 78--

7-g:

.0 -u

6-

2-

1-0.65 0.7 0.7

:::_:::::_:___:____.__g__:__:_---

o---o---0.75 0.75 41 0.8

o---o---0.8 0.85 Cb 0.85 Cb

L/T=15.00

0.9

L/T= 16.50

o

0.9 9 8 7

g

4 3 2

i

o

8 7 5 4 3 2 1 o n = n uvl o n=nuv2

4-nfluvl

9

_on=nuv2

o

o

o---o...

Cb

o

o

o

42

o...

O65 0.7 0.75 0.8 0.85 0.9 Cb

L/T= 19.50

L/T = 24.00

g 8 7 E .C)

u-6

E

u-6

2 i 5 4

3

2 -t 8 7 o 14 o 14 ri = nuvl 9

_on=nuv2

---

o-

o---15 16 43 -o

Cb=O.80

17 18 19 20 21 22 23 24 25

L/T

15 16 17 18 19 20 21 22 23 24 25

L/T

n = nuvi

on=nuv2

Cb=O.70

o

-o 5 o-4 3 -o

I 14 15 16 17 18 19 20 21 22 23 24 25 L/T

Cb=OE90

.

9 -

.-n=nuvl

8 7

u-6

5 4 3 2

i

o4.- 0.3 ¿Il o.' o C8 0.70 5.00 o_'f. .Q;

i.

'r

I Fo I / ..

-t.

¿'0, Ce 070 L/T I,.Ç0

L(P'

3'.»

I

L

H

ft

Typ5

ri1 riZ rt ry,. A Type B

IL1 --

RI

-t

TypA

Typß

rL1 riz

-'H

L (ih) C8 tBO

Ceso

17F 19 -Type A Type.! -H---n2

-r ryp A Type IL

-H---fl

- .L.

O. J 0.2 o. I a, ¿ 150 8

T500

Sa. L 3fb C8 o,O L/1i 19Ç0 o4

-e, Type ,A ryp 13 15b 250 L (m) LW Pl Typ, Type Pt, rt Typ A Type

L---ri. Type 4 Type ¡00 (Sb

Study on Reviewing Freeboards of ICLL

Report No.7

Regression Analyses of Freeboard Distribution

for Series Ship Forms

(Draft)

Abstract

Based on the data of freeboard distribution of the series ship forms, the regression

analyses were made as follows:

* Bow height

Fb = fI (L,Cb, L/T, n)

* Freeboard at the position of L/6 from F.P.

F2 = f2 (L, Cb, L/T, n)

* Freeboard at the position of L/3 from F.P.

F3 = f3 (L, Cb, L/T, n)

* Freeboard at amidship for type A ships

Fma = f4 ( L, Cb, L/T, n)

* Freeboard at amidship for type B ships

Fmb = f5 (L, Cb, L/T, n)

For the length of forecastle, it is suggested that the minimum length of forecastle

be defined using Fb, F2, F3 and Fma or Fmb by interpolation for the given ratio of

L/D.

As the primary results of the regression analyses, Fb, F2, F3, Fma and Fmb are

presented as follows:

1000 L

Fb = (mm)

0.17 L - 1.6-JI +23.24Cb -f-0m +1.83J - 0.96(L / T) +12.04JL / T - 33.29

Where, n is taken as O when n < O

L is taken as 300m when L> 300m, apart from L/T.

1000 L

F2 -

(mm)

0.27 L - 2.66-1± +76.99Gb - 0.5n +10.4-J - 3.37(L / T) -143.09JL I T - 154.34

for Type A ships

1000 L

F7 (mm)

0.26 L - 2.55JE +74.24Gb - 0.48n +10.07-I- 3.2(L / T) +41JL / T - 147.46

F3 = 10 L [0.212 (LIT) - 2.259jL / T - 0.028 n

- 0.021

L

_{- 0.045}

J L + 7.1981 (mm) for Type A ships

(L/T)

\L/T)

F3 = 10 L [0.258 (LIT) - 2.738 LIT - 0.032 n

- 0.025

L

_{- 0.048 I}

L + 8.653 1 (mm)

for Type B ships

IíL/

V'/T

Frnal000(- 0.IOIL + 2.808

-

7.638g + 5.873

+ 0.953 Cb + 0.103

+ 0.009 (LIT) - 1.086)

(mm)

for Type A ships

Fmbl000(

0.133L + 3.681

iVL2

_-

io.oJi ± 7.68 Vi

+ 1.233Gb + 0.135'J

+ 0.012(L/T)- 1.416)

(mm)

forTypeB ships

Where, n is taken as O when n < O

L is taken as 350m when L> 350m, apart from L/T.

The new freeboard tabulars for Type A and Type B ships can be obtained from

Application & Comparison of the Results of

Regression Analyses for Freeboards Distribution

Freeboard Tables

Page4

12

Application & Comparison for Actural Ships

6

g5

E

LL

4

3

2

i

o

---TYPE A (REVISED)

-TYPE B (REVISED)

-TYPE A (ICLL)

--TYPE B (ICLL)

t t_ I

0

50

100

150

200

250

300

350

400

L(m)

Freeboard Table for Type A Ships

Length (m) Freeboard (mm) Length (m) Freeboard (mm) 1966 ICLL Proposed 1966 ICLL

Prposed

24 200 462 64 626 852 25 208 466 65 639 864 26 217 471 66 653 876 27 225 476 67 666 888 28 233 482 68 680 900 29 242 488 69 693 912 30 250 495 70 706 924 31 258 502 71 720 936 32 267 509 72 733 948 33 275 517 73 746 960 34 283 526 74 760 972 35 292 534 75 773 984 36 300 543 76 786 996 37 308 552 77 800 1008 38 316 562 78 814 1020 39 325 571 79 828 1032 40 334 581 80 841 1044 41 344 591 81 855 1056 42 354 601 82 869 1068 43 364 612 83 883 1080 44 374 622 84 897 1091 45 385 633 85 911 1103 46 396 644 86 926 1115 47 408 654 87 940 1127 48 420 666 88 955 1139 49 432 677 89 969 1150 50 443 688 90 984 1162 51 455 699 91 999 1174 52 467 711 92 1014 1185 53 478 722 93 1029 1197 54 490 734 94 1044 1208 55 503 745 95 1059 1220 56 516 757 96 1074 1231 57 530 769 97 1089 1243 58 544 781 98 1105 1254 59 559 792 99 1120 1265 60 573 804 100 1135 1277 61 587 816 101 1151 1288 62 600 828 102 1166 1299 63 613 840 103 1181 1310

6 104 1196 1321 148 1935 1764 105 1212 1332 149 1952 1773 106 1228 1343 150 1968 1782 107 1244 1354 151 1984 1791 108 1260 1365 152 2000 1799 109 1276 1376 153 2016 1808 110 1293 1387 154 2032 1817 111 1309 1398 155 2048 1825 112 1326 1409 156 2064 1834 113 1342 1420 157 2080 1843 114 1359 1430 158 2096 1851 115 1376 1441 159 2111 1859 116 1392 1451 160 2126 1868 117 1409 1462 160 2141 1876 118 1426 1472 162 2155 1884 119 1442 1483 163 2169 1892 120 1459 1493 164 2184 1901 121 1476 1504 165 2198 1909 122 1494 1514 166 2212 1917 123 1511 1524 167 2226 1925 124 1528 1534 168 2240 1933 125 1546 1545 169 2254 1941 126 1563 1555 170 2268 1948 127 1580 1565 171 2281 1956 128 1598 1575 172 2294 1964 129 1615 1585 173 2307 1972 130 1632 1595 174 2320 1979 131 1650 1604 175 2332 1987 132 1667 1614 176 2345 1994 133 1684 1624 177 2357 2002 134 1702 1634 178 2369 2009 135 1719 1643 179 2381 2017 136 1736 1653 180 2393 2024 137 1753 1662 181 2405 2031 138 1770 1672 182 2416 2039 139 1787 1681 183 2428 2046 140 1803 1691 184 2440 2053 141 1820 1700 185 2451 2060 142 1837 1709 186 2463 2067 143 1853 1719 187 2474 2074 144 1870 1728 188 2486 2081 145 1886 1737 189 2497 2088 146 1903 1746 190 2508 2095 147 1919 1755 191 2519 2101

7 192 2530 2108 236 2918 2356 193 2541 2115 237 2925 2361 194 2553 2121 238 2932 2365 195 2562 2128 239 2939 2370 196 2572 2135 240 2946 2374 197 2582 2141 241 2953 2378 198 2592 2147 242 2959 2383 199 2602 2154 243 2966 2387 200 2612 2160 244 2973 2391 201 2622 2166 245 2979 2395 202 2632 2173 246 2986 2400 203 2641 2179 247 2993 2404 204 2650 2185 248 3000 2408 205 2659 2191 249 3006 2412 206 2669 2197 250 3012 2416 207 2678 2203 251 3018 2420 208 2687 2209 252 3024 2424 209 2696 2215 253 3030 2427 210 2705 2221 254 3036 2431 211 2714 2227 255 3042 2435 212 2723 2232 256 3048 2439 213 2732 2238 257 3054 2442 214 2741 2244 258 3060 2446 215 2749 2249 259 3066 2450 216 2758 2255 260 3072 2453 217 2767 2260 261 3078 2457 218 2775 2266 262 3084 2460 219 2784 2271 263 3089 2463 220 2792 2277 264 3095 2467 221 2801 2282 265 3101 2470 222 2809 2287 266 3106 2473 223 2817 2292 267 3112 2477 224 2825 2297 268 3117 2480 225 2833 2303 269 3123 2483 226 2841 2308 270 3128 2486 227 2849 2313 271 3133 2489 228 2857 2318 272 3138 2492 229 2865 2323 273 3143 2495 230 2872 2328 274 3148 2498 231 2880 2332 275 3153 2501 232 2888 2337 276 3158 2504 233 2895 2342 277 3163 2507 234 2903 2347 278 3167 2509 235 2910 2351 279 3172 2512

8 280 3176 2515 323 3339 2591 281 3181 2517 324 3342 2592 282 3185 2520 325 3345 2593 283 3189 2523 326 3347 2594 284 3194 2525 327 3350 2595 285 3198 2528 328 3353 2595 286 3202 2530 329 3355 2596 287 3207 2532 330 3358 2597 288 3211 2535 331 3361 2597 289 3215 2537 332 3363 2598 290 3220 2539 333 3366 2599 291 3224 2541 334 3368 2599 292 3228 2544 335 3371 2600 293 3233 2546 336 3373 2600 294 3237 2548 337 3375 2601 295 3241 2550 338 3378 2601 296 3246 _{2552 339 3380 2601} 297 3250 2554 340 3382 2602 298 3254 2556 341 3385 2602 299 3258 2558 342 3387 2602 300 3262 2560 343 3389 2602 301 3266 2561 344 3392 2602 302 3270 2563 345 3394 2603 303 3274 2565 346 3396 2603 304 3278 2567 347 3399 2603 305 3281 2568 348 3401 2603 306 3285 2570 349 3403 2603 307 3288 2571 350 3406 2603 308 3292 2573 351 3408 2603 309 3295 2574 352 3410 2603 310 3298 2576 353 3412 2603 311 3302 2577 354 3414 2603 312 3305 2579 355 3416 2603 313 3308 2580 356 3418 2603 314 3312 2581 357 3420 2603 315 3315 2583 358 3422 2603 316 3318 2584 359 3423 2603 317 3322 2585 360 3425 2603 318 3325 2586 361 3427 2603 319 3328 2587 362 3428 2603 320 3331 2588 363 3430 2603 321 3334 2589 364 3432 2603 322 3337 2590 365 3433 2603

Freeboard Table for Type B Ships

9

Length (m)

Freeboard (mm) Length - Freeboard (mm) 1966 ICLL Proposed (m) 1966 ICLL Proposed

1104 24 200 598 64 629 25 208 604 65 644 1120 26 217 610 66 659 1135 27 225 616 67 674 1151 28 233 624 68 689 1166 29 242 632 69 705 1182 30 250 641 70 721 1197 31 358 650 71 738 1213 32 367 660 72 754 1228 33 275 670 73 768 1244 34 283 681 74 784 1259 35 292 692 75 800 1275 36 300 704 76 816 1290 37 308 716 77 833 1306 38 316 728 78 850 1321 39 325 740 79 868 1337 40 334 753 80 887 1352 41 344 766 81 905 1368 42 354 779 82 923 1383 43 364 793 83 942 1398 44 374 806 84 960 1413 45 385 820 85 978 1429 46 396 834 86 996 1444 47 408 848 87 1015 1459 48 420 863 88 1034 1474 49 432 877 89 1054 1489 50 443 892 90 1075 1504 51 455 906 91 1096 1519 52 467 621 92 1116 1534 53 478 936 93 1135 1549 54 490 951 94 1154 1564 55 503 966 95 1172 1579 56 516 981 96 1190 1594 57 530 996 97 1209 1608 58 544 1012 98 1229 1623 59 559 1027 99 1250 1638 60 573 1042 100 1271 1652 61 587 1058 101 1293 1667 62 601 1073 102 1315 1681 63 615 1089 103 1337 1695

lo 104 1359 1710 148 2271 2277 105 1380 1724 149 2293 2289 106 1401 1738 150 2315 2300 107 1421 1752 151 2334 2311 108 1440 1767 152 2354 2323 109 1459 1781 153 2375 2334 110 1479 1795 154 2396 2345 111 1500 1808 155 2418 2356 112 1521 1822 156 2440 2367 113 1543 1836 157 2460 2378 114 1565 1850 158 2480 2388 115 1587 1863 159 2500 2399 116 1609 1877 160 2520 2410 117 1630 1891 160 2540 2420 118 1651 1904 162 2560 2431 119 1671 1918 163 2580 2441 120 1690 1931 164 2600 2452 121 1709 1944 165 2620 2462 122 1729 1957 166 2640 2472 123 1750 1970 167 2660 2482 124 1771 1984 168 2680 2492 125 1793 1997 169 2698 2502 126 1815 2010 170 2716 2512 127 1837 2022 171 2735 2522 128 1859 2035 172 2754 2532 129 1880 2048 173 2774 2542 130 1901 2061 174 2795 2552 131 1921 2073 175 2815 2561 132 1940 2086 176 2835 2571 133 1959 2098 177 2855 2580 134 1979 2111 178 2875 2590 135 2000 2123 179 2895 2599 136 2021 2135 180 2915 2608 137 2043 2148 181 2933 2617 138 2065 2160 182 2952 2627 139 2087 2172 183 2970 2636 140 2109 2184 184 2988 2645 141 2130 2196 185 3007 2654 142 2151 2208 186 3025 2663 143 2171 2219 187 3044 2671 144 2190 2231 188 3062 2680 145 2209 2243 189 3080 2689 146 2229 2254 190 3098 2697 147

j

2250 2266 191 3116 2706

11 192 3134 2714 236 3821 3024 193 3151 2723 237 3835 3030 194 3167 2731 238 3849 3035 195 3185 2740 239 3864 3041 196 3202 2748 240 3880 3046 197 3219 2756 241 3893 3052 198 3235 2764 242 3906 3057 199 3249 2772 243 3920 3062 200 3264 2780 244 3934 3068 201 3280 2788 245 3949 3073 202 3296 2796 246 3965 3078 203 3313 2803 247 3978 3083 204 3330 2811 248 3992 3088 205 3347 2819 249 4005 3093 206 3363 2826 250 4018 3098 207 3380 2834 251 4032 3102 208 3397 2841 252 4045 3107 209 3413 2849 253 4058 3112 210 3430 2856 254 4072 3117 211 3445 2863 255 4085 3121 212 3460 2870 256 4098 3126 213 3475 2878 257 4112 3130 214 3490 2885 258 4125 3134 215 3505 2892 259 4139 3139 216 3520 2899 260 4152 3143 217 3537 2905 261 4165 3147 218 3554 2912 262 4177 3151 219 3570 2919 263 4189 3155 220 3586 2926 264 4201 3160 221 3601 2932 265 4214 3164 222 3615 2939 266 4227 3167 223 3630 2945

27

4240 3171 224 3645 2952 268 4252 3175 225 3660 2958 269 4264 3179 226 3675 2965 270 4276 3183 227 3690 2971 271 4289 3186 228 3705 2977 272 4302 3190 229 3720 2983 273 4315 3193 230 3735 2989 274 4327 3197 231 3750 2995 275 4339 3200 232 3765 3001 276 4350 3204 233 3780 3007 277 4365 3207 234 3795 3013 278 4373 3210 235 3808 3019 279 4385 3213

12 280 4397 3217 323 4878 3301 281 4408 3220 324 4890 3302 282 4420 3223 325 4899 3302 283 4432 3226 326 4909 3303 284 4443 3229 327 4920 3304 285 4455 3231 328 4931 3304 286 4467 3234 329 4943 3305 287 4478 3237 330 4955 3305 288 4490 3240 331 4965 3306 289 4502 3242 332 4975 3306 290 4513 3245 333 4985 3307 291 4525 3247 334 4995 3307 292 4537 3250 335 5005 3307 293 4548 3252 336 5015 3307 294 4560 3255 337 5025 3307 295 4572 3257 338 5035 3308 296 4583 3259 339 5045 3308 297 4595 3262 340 5055 3308 298 4607 3264 341 5065 3308 299 4618 3266 342 5075 3308 300 4630 3268 343 5086 3308 301 4642 3270 344 5097 3308 302 4654 3272 345 5108 3308 303 4665 3274 346 5119 3308 304 4676 3276 347 5130 3308 305 4686 3277 348 5140 3308 306 4695 3279 349 5150 3308 307 4704 3281 350 5160 3308 308 4714 3282 351 5170 3308 309 4725 3284 352 5180 3308 310 4736 3286 353 5190 3308 311 4748 3287 354 5200 3308 312 4757 3288 355 5210 3308 313 4768 3290 356 5220 3308 314 4779 3291 357 5230 3308 315 4790 3292 358 5240 3308 316 4801 3294 359 5250 3308 317 4812 3295 360 5260 3308 318 4823 3296 361 5268 3308 319 4834 3297 362 5276 3308 320 4844 3298 363 5285 3308 321 4855 3299 364 5294 3308 322 4866 3300 365 5303 3308

'4

H AF

:L: I

--2 AP

-I-.

.1-... Lbp 49.8m B 90m D 4.hm d 35m Cb 0.615 13 SHIP B

Freeboard (19CM) N.A.W for Type B - -S.S. profile (1966 ICLL)

Minimum forecastle length with zero Sheer Minimum forecastle length with sheer

i . I L-.

Pec.« S.L

Cb 0.705 with zero sheer

L9 Lp. FP PP L .L SHIP C

F Lbp 620m Freeboard(19CM) N.A.W, for Type B

B 120m - - - S.S. profile (1956 ICLL)

(IB) _{D 49m}

d 38m Lm Minimum forecastle length Lbp B D Cb 34 0m ?.óm 3.Sm 2.Ont O 588 SHIP A

Freeboard (19CM) N.A.W.fo, Type B

e

0

- - S.S profile (1966 ICLL)

L5 Minimum forecaaile length

with zero sheer

J.

i'

4-.

H

ï

L4

4

2

4 AP P with sheer SHB D

Freeboard (WCM) N.A W. for Type B

- - - S.S. profile 0966 ICLL)

L,5 Minimum forecastle length with zero sheer L, Minimwn forecastle length

with sheer

SF-tIP E

--- S.S. proflle(19661CLL)

L,0 Minimum forecastle length

TI

14 :

Freeboard (19CM) N.A.W, for Type B

with zero sheer

S.LL J FP FP 'I. L F ° 1m) 2.0 .0 -L. F

6-Lbp 840m B 156m D 84m 6 68m Cb 0.59 SHIP F

Lbp 330m Freeboard(SPCM)N.A.W, for TypeB

B 190m ---S.S. profile (1966 TCLL)

D 85m Lw Miriimam forecastle length

r - d 63m with nero sheer

Cb 0.705 L, Mininiurn forecastle length

Lbp 680m

B 128m

D 62m

4,8mm

(---t---'

2

AP

Lbp _{297m - Freeboard (15CM) N.A.W. for Type B}

B 208m - - - S.S. profile (1966 ICLL) D 87m 625m Cb 0.744 L.bp 2150m B 322m D 187m 12.5to Cb 0.843 SHIP G 15 SHIP H

Lbp _{I 75.Om - Freeboard (JPCM) N.A.W. for Type B}

B 320m - - - S.S. profile (1966 ICLL)

D 15.4ni

95m L0 Mirumurn forecastle lesgth

Cb 0837 with zero theer

SHIP J

Freebcard (05CM) N.A.W. for Type ß

- - - S.S. profile (1966 ICLL) Po1c 5L1

i

F

6-Lp0 J. L

2

(i l

o

4tO 201 FP 6 2

A4P

SHIP K

16

Freeboard (JPCM) N.A.W, for Type B

SS profilc(t966ICLL) SHIP L t-FP pp 3-. 2 Dect S. L. i,

--8-;

-Lbp B D d Cb

2642m Freeboard (JPCM) N.A.W. for Type B

a-

6-3222m 2150m 1250m 0651 - - - S.S. proOle (1966 1CLL) t t Lbp 2600m B 44.6m D 242m 16.1ro b 0.829

Application & Comparison of Regression Expressions

for Some Actural Ships

Note:

I - ICLL expression.

U - Regression expression.

[II - Theorcticsl expression,

IV - Actural value. * zero sheer 17 Ship No L B " 1) d I n _{Cb n} A 34 7.6 3 5 2 0 0.588 I 3 0 B 49.8 9.0 40 3.5 _{06I5 I28} C 62.0 12.0 49 38 0703 33 D 68.0 l2.8 6.2 48 0709 64 E 84.0 15.6 8.4 6.8 0.590 9.5 103.0 19.0 8 5 65 _{Q70 30} G 1297 20.8 8 7 625 _{0 744 S} I o I 75.0 320 I 5.4 9.5 _{0337 -09} j 215.0 32.2 18 7 2.5 _{0.830 I U} K 260.0 44.6 24 2 6 I _0.829 I O L 264.0 32.2 215 2.5 _{0.651 8.1} ShIp No.

Bow Height (rn) _{Freeboard for type B Ships (m)}

forecastle length LF / L

1 11 III 1V 1 H jfl iv LID H III

A 1.82 1.88 1.88 2.35 0.45 0.68 0.65 1.15 10.79 0.129 0.139 B 2.59 2.80 3.03 4.30 0.56 0.89 0.82 1.10 10.83 0.245 0.273 C 2.98 3.31 3.47 3.70 0.73 1.03 1.08 1.10 12.65 0.281 0.294 D 3.23 3.67 3.77 4.25 0.80 1.14 1.19 1.40 10.97 0.264 0.302 E 4.01 4.92 4.57 4.40 1.00 1.29 1.28 1.60 10.00 0.355 0.315 F 4.50 5.01 4.86 6.10 1.39 1.57 1.66 2.00 12.12 0.272 0.273 C 5.13 4.73 4.87 6.10 2.00 2.11 2.16 2.45 14.91 0.166 0.182 H 5.72 6.09 6.28 9.90 3.18 2.40 2.48 5.90 II.36 0.014 0.022 J 6.16 6.24 6.09 10.80 3.93 2.84 2.82 6.20 11.50 0.002 0.0 K 6.24 6.64 6.47 9.80 4.66 3.08 3.27 8.10 10.74 0.0 - 0.0 L 6.95 6.32 6.72 10.60 4.23 3.18 3.20 9.00 12.28 0.0 0.0

Study on Reviewing Freeboards of ICLL

Report No. 8

The Minimum Freeboards for Ships

at Oblique Sea

Abstract

The joint-probability criteria method

(JPCM) which can be used to

predict the

minimum freeboards distributed along the ship length at head sea presents a

long-term

predicting method for deck wetness based on the seakeeping theory.

According to this

method, the coupling relative motions of heave and pitch for the

calculated position

along the ship length can be calculated using the strip theory,

then the minimum

freeboards are abtained through determining the probability at which

the wave height

encounted exceeds the assumed

freeboard.

As the application of JPCM, this paper takes into account the

minimum freeboard

for ships at oblique sea. It uses the results of a model test of Flokstra ship at oblique

sea to check the calculating precision of relative motions at positions

of ship bow and

amidship, then through the theoretical calculation to obtained the effects

of pitch to

the minimum freeboards of ships. It has been shown that the theoretical calculating

method can be used to determine the relative motions of ships at

oblique sea, the

minimum freeboards for ships at oblique sea should take into account

the rolling

effect.

TECHNICAL REPORT

STUDY ON REVIEWING FREEBOARDS

OF ICLL

General Report

CHINA CLASSIFICATION SOCIETY

SHANGHAI RULES AND RESEARCH INSTiTUTE

Study on Reviewing Freeboards of ICLL

General Report

1. General

With reference to the decision of 1MO in Revision of technical regulations of the

1966 LL Convention, the Study on reviewing freeboards of ICLL has been made

according to SLF 40/WP.4.

In SLF 40/WP.4, the procedure for revision of ICLL 66 Freeboard tables was

determined as follows:

STEP I

Calibration standard

1.1 Selection of reference ships (parent hull forms)

A slender ship (L = 150m, Cb = 0.68 at 0.85D, L/D = 15 ) and full bodied ship (L

200m, Cb = 0.8) were selected to calculate their freeboards, bow heights and forecastle

length.

1.2 Computational methodology: Annex 2 of SLF 40/6/3

1.3 Reference criteria:

- Apply Step 1.2 to No.1 and No.2 reference ships

- Establish water on deck criterion for Type A and Type

B, i.e. probability of exceedence based on either joint

short term and long term probability or equivalent short

term probability.

STEP II

Sample ships

H.4 Selection of sample ships:

-

existing ships (including minimum LL rule for freeboard)

two groups of systematically varied hull forms, based on parametric

variations applied to No.1 and No.2 reference ships.

Hull parameters that will influence relative motions:

Not considered important:

LIB, bulbous bow

Constant:

pitch moment of inertia, sheer (zero)

For each systematically varied ship, consider parameters that affect water on deck:

freeboard, bow height, forecastle length

11.5 Relative motion computations

apply 1.2 to all hull forms from 11.4

STEP III

Revision of freeboard table

ffl.6 (1) Determine freeboard and bow height for each systematically varied ship such

that criteron from 1.3 is satisfied, e.g. by iteration or interpolation, where the

reference criterion for Type A ships is applied to the No.2 derivatives, and

reference criterion for Type B ships is applied to No.1 and No.2 derivatives.

(2) Compare results from ffl.6(1) with the 1966 LL rules.

ffl.7

Freeboard table review

Determine required corrections to the 1966 LL rules from ffl.6(2) where

necessary.

Devise new format for freeboard tables.

2. Research subjects

2.1 Main points of the Report No.1

The Ps-Pc Joint Probability Criteria Method (JPCM) and its calculating conditions

for calculation of freeboard distribution according to the research frame decided by the

LL Working Group.

Ps is defined as the acceptable deck wetness probability corresponding to the height

of deck flooding h

O; Pc is defined as the probability, its value is equal to the

wave

occurring frequency at which the deck wetness probability encoi.ntered exceeds Ps.

The computation procedure is shown as follows:

INPUT

_PROCESSOR

OUTPUT

Wave flirect ion of

Head Seas

Speed Corresponding

JoFn-O.1

ITTC Wave Spectrum

With Two Parameters North Atlantic Winter

Wave Statistics *

Probability Criteria for

Type A&TypeBShips

Hull For

I-le ight of Oreen Water

above (he Ded Nw - C

Statical Swell-up H (Tasaki formula)

Wave Data for Zones ofNo. 8,9, 15, 16

linear Strip Theory and Calailation of

Relative Motions

+

Ps-Pc Joint Probability Criteria Method

The primary computation formula are presented as follows:

(F -Hs+Hw)2

Ps

_exp

[-2mos(H,TJ) ('00

mos(H,Tt

_{)= j}

S(H,w)()2dw

o H

Pc=

Pii q

> Fa

li

₌₀

_{F1 < Fa}

where, -4- is amplitude of the relative motion corresponding to the

wave

parameters(H, T ),

S(H, w) is ocean wave spectrum with two parameters (H, w).

2.2 Main points of the Report No.2

Definition of the probability criteria Ps and Pc for calculation of

freeboard

3 freeboards at: 1.AP. (1/6)1 from AP. (1!3)L from A.P Arnidiips (1/3)1. from 1.P. (1/6)1 from IP. f.P.

distribution on analyses of practical ships.

Considering the difference in definitions between Type A and Type B ships of ICLL,

Through a series of computations for practical ships, the length of which ranges from

34n to 264m, the Ps, Pc values have been determined as follows for Type A and B ships:

I'7L43

for Type A.

Pc=1.5%'/ L°

Ps40% /

0 X L

for Type B,

Pc 1.5%

Ps40%

0.9LXL,

= (5OXIL-5)%

0.5L < X < 0.9L

=20%

X

O.5L

2.3 Main points of the Report No.3

Calculations and analyses of freeboard distribution for the reference ships according

to Step J of SLF 40/WP.4 and typical ships.

For slender ships and full bodied ships, the freeboard distribution of 12 Type A and

Type B ships were calculated respectively, and the relations of bow heights, freeboards at

amidship and forecastle Iengthes with L/T were analysed.

2.4 Main points of the Report No.4

Experiments for investigating the effect of wave direction and rolling motion on deck

wetness and on the relative motion for Flokstra container ship model.

From the seakeeping experiments of the ship model, the relative motions of the ship

in regular and irregular waves, at headsea, bow quarter, beam sea, quarter following

directions are obtained, which can be used to check on the computer program.

And it

can be concluded that the wave direction and rolling motion have a considerable

influence on relative motion at midship.

Thus, when determining the freeboard at

midship based on the deck wetness, not only the effect of head wave but also the effect of

obligue waves should be taken into account.

2.5 Main points of the Report No.5

Series ship forms for calculation of freeboard distribution.

Refering to Annex 2 of SLF 40/WP.4, two groups of series ship forms were designed

for calculation of freeboard distribution as follows:

Group 1:

Cb=0.55, 0.65, 0.75, 0.85

(b

LIT = L/B * B/T

7*2.5, 7*2.75, 7*3.25, 7*4ØØ

nnl,n2

L = 24m, 50m, 75m, 100m, 150in 200m, 300m

Totals of 224 ship forms.

Group II:

Cb = 0.7, 0.8, 0.9

L/T = LIB * B/T = 6*2.5, 6*2.75, 6*3.25, 6*4.00

nnl,n2(n=nl forCb0.90)

L = 80m, 150m, 250, 350m

Totals of 80 ship forms.

The offsets in non-dimension of the series ship forms and their transverse section lines

are given.

2.6 Main points of the Report No.6

Freeboard distribution of series ship forms by calculation of deck wetness.

For the two groups of series ships forms, the freeboards at positions of seven stations

including bow height, freeboard at amidship and the length of forecastle for the given

ratios of LID, have been obtained by calculation of deck wetness.

The results of freeboard distribution are presented in series diagrams as follows:

* Diagrams of bow height Fb with L, Cb,

n and LIT;

* Diagrams of freeboard at amidship with L, Cb,

n and L/T for type A and typeß

ships;

* Diagrams of length of forecastle with L, Cb, n and L/T and L/D.

2.7 Main points of the Report No.7

Regression analyses of freeboard distribution for series ship forms.

Based on the data of freeboard distribution of the series ship forms, the regression

analyses were made as follows:

* Bow height

Fb = fl( L,Cb, L/T, n)

* Freeboard at the position of L/6 from F.P.

jA)

F2 = f2( L, Cb, L/T, n)

* Freeboard at the position of L/3 from F.P.

F3 = f3( L, Cb, L/T, n)

* Freeboard at amidship for type A ships

Fma = f4( L, Cb, L/T, n)

* Freeboard at amidship for type B ships

Fmb

f5( L, Cb, L/T, n)

* The

_{new freeboard tables for Type A and Type B ships}

In addition, the above mentioned formula have been checked by using 11 practical

ships, see attached tables.

2.8 Main points of the Report No.8

The minimum freeboards for ships at oblique sea.

The joint-probability criteria method (JPCM) which can be used to predict the

minimum freeboards distributed along the ship length at head sea presents a long-term

predicting method for deck wetness based on the seakeeping theory. According to this

method, the coupling relative motions of heave and pitch for the calculated position along

the ship length can be calculated using the strip theory, then the minimum freeboards are

obtained through determining the probability at which the wave height encounted exceeds

the assumed freeboard.

As the application of JPCM, this paper takes into account the minimum freeboard for

ships at oblique sea. It uses the results of a model test of Flokstra ship at oblique

sea to

check the calculating precision of relative motions at positions of ship bow and amidship,

then through the theoretical calculation to obtained the effects of pitch to the minimum

freeboards of ships. It has been shown that the theoretical calculating method

can be used

to determine the relative motions of ships at oblique sea, the minimum freeboards for

ships at oblique sea should take into account the rolling effect.

3. Conclusion.

The following results have been obtained from the Study:

3.1 It is feasible to review freeboards of ICLL with the JPCM at the frame schedule of the