Page 366 - Practical Ship Design
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Freeboard  and Subdivision                                           323


        (a)  0.3
                                                                  =
                                                                Jmax 48 I  Ls with
                                                                max value of 0.24
            0.2
                                                                at Ls < 200 in
         J,,
                                                                J I  Jmex has max value
            0.1                                                 of 4.167 for Ls < 200
            0
               0        100      200       300      400       500
                                   Ls in metres


                      Approximate number of compartments
                                                            Formulae:
            6                                               If y < 1, F1 = f - (Y)~ I3
                                                            and F2 = (y)'-  (y)'I  12
            5                                              These formulae generally
                                                           apply to single
                                                           compartments
        F1  4
        and
                                                            If y > or = 1, F1 = y - 1/3
        F2  3                                              andF2=(y)Z12-y/2+1/12
                                                           These formulae generally
                                                           apply to two or more
                                                           compartments




              0         1         2        3         4
                               damaged compartment length
                      y = J I J,,=
                                   rule maximum damage


                         1.5          E = 2 x  non-dimensional distance from amidships
                                         on Ls to centre of compartment
                                      a=12+08E  max12
                                      F = 04 + 025 E(l 2 +a)

                                          J' = J - E   if E is positive (in the fore body)
                                            -   2(LS/2-X1)
                                            --
                                                 Ls
              -1        0        +I       J' = J + E   if E is positive (in the aft body)
                     amidships   ford
                        E                   -   2(LSI2-X2)
                                                  Ls
       Fig. 11.5. Probabilistic subdivision of cargo ships. (a) J,,,   versus L,. (b) F, and F2 versus J/J,,,,,.
                                (c) Factors a and F versus E.
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