Page 379 - Practical Ship Design
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336                                                            Chapter 12


                   Righting
                   and
                   heeling
                   levels











                             0                            40
                                               Angle of heel

                                            Volumetric heeling moment
                    Fig. 12.1. Grain stability.  L, =            ;    Ld0 =0.8~4,
                                           Displacement x stowage factor



              12.2.3 Basis of grain shijit calculations

              Calculations are based on the following assumptions.
                 (i)  That in filled compartments there will be a void under all boundary surfaces
                     having an inclination of less than 30" to the horizontal. A formula for the
                     depth of void is given, but in design practice the lesson is that the bottom of
                     top-side wing tanks should be inclined at an angle of at least 30".
                 (ii)  That within filled and trimmed hatchways the void is to be taken as 150
                     mm below  the  lowest  point  of  the  hatch  or the  top  of  the  hatch  side
                     coaming whichever  is lower. The volume of  any  open  void  within  the
                     hatch cover to be added. There are other rules which apply if the hatchway
                     is not trimmed.
                 (iii)  The grain shift moment is to be calculated based on the grain surface being
                     at 15" to the horizontal in the void spaces of filled compartments and at 25"
                     to the horizontal in partly filled spaces. The calculated transverse heeling
                     moment is to be multiplied by 1.12 to allow for the effect of the accompany-
                     ing vertical shift.
                 (iv)  If necessary the partially filled compartment can be overstowed with bagged
                     grain to eliminate the free surface. If this is done the bagged grain must be
                     tightly stowed and extend to a height of 1/16 of the breadth of the grain free
                     surface or 1.2 m, whichever is greater.

              It musl be emphasised that this is only an outline of the rules. The detailed rules
              have several other requirements.
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