Page 287 - Practical Ship Design
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Design of Lines                                                     245

         required can be sketched and eventually faired. If the form derived in this way is not
         suitable for the new ship it is however, probably better to work with the sectional
         area curve and avoid being influenced by the form of the sections of the basis ship.

         8.4. I  Retaining the same LCB position
         The method used is essentially one of adding parallel middle body if an increase in
         C, is required or deducting it if a finer C, is wanted. If
           L, is the length of the basis ship, and
           C,,  is the block coefficient
           C, the midship section coefficient
           C,,  is the required block coefficient of the new ship
           X is the parallel middle body to be addedsubtracted
         Then


                                                                           (8.7)

         and




           Starting at the F.P. and A.P. respectively new  stations are then drawn on the
         lines plan at a spacing of (L, + X)/lO.
           The waterline offsets read at these stations are multiplied by the ratio of the new
         beam to the basis beam and are plotted on waterlines whose spacing is adjusted
         from the basis spacing by the ratio of the new load draft to the basis load draft to
         give a body plan on displacement sections for the new ship.
           A comprehensive treatment of ways of varying ships forms may be found in
         “On the Systematic Geometrical Variation of Ship Forms” H. Lackenby R.1.N.A
         92  (1950)  p.  289.  Computer  programs  using  a  number  of  these  methods  are
         available from the firms mentioned in 9 1.2.

         8.4.2 Changing the LCB position
         If the new ship’s LCB position as a percentage of the length is to be changed from
         that of the basis ship, then the station spacing should be calculated separately for
         the fore and aft bodies using the respective half body block coefficients.
           These half body block coefficients can conveniently be obtained from Fig. 8.10
         which  shows  the  addition  to  one  body  and  deduction  from  the  other  which
         produces a particular LCB position. It is interesting that a midship LCB corresponds
         to a forebody C,,  = C, + 0.007 and a corresponding aft body C,,  = C, - 0.007, and
         not, as might have been expected, of equal fore and aft body cbs.
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