Section 
                     14 Strengthening for bottom slamming
                  
                  
                  
                  
                  
                  
                  
                     
                        
                         
                        14.1 General
                        
                        
                        
                        
                           
                           
                              
                              
                              14.1.1 This
                                 section may be used to determine the additional scantlings for strengthening
                                 in respect of the bottom structure forward for NS1 and NS2 type ships.
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              14.1.2 The
                                 additional scantlings for strengthening in respect of the bottom structure
                                 forward for NS3 type ships will be specially considered on the basis
                                 of this Section.
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        14.2 Strengthening of bottom forward
                        
                        
                        
                        
                           
                           
                              
                              
                              14.2.1 The bottom forward is to be additionally strengthened where the ship has a
                                 draught forward of less than 0,045LR in any operational loading
                                 condition. The minimum draught, TFB, see
                                 Vol  1, Pt  6, Ch  3,  14.2 Strengthening of bottom forward 14.2.7 (NS1) or Vol  1, Pt  5, Ch  3,  1.3 Symbols and definitions 1.3.1 (NS2 or NS3), is to be indicated
                                 on the shell expansion plan, the plan showing the internal strengthening, the Loading
                                 Manual and loading instrument, where fitted. 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              14.2.2 The requirements for the additional strengthening apply to ships where
                                 LR is greater than 65 m. 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              14.2.3 The
                                 scantling requirements outside the areas which have been strengthened
                                 for bottom slamming are to be suitably tapered to maintain adequate
                                 continuity of strength in both longitudinal and transverse directions.
                               
                              
                              
                              
                              
                              
                                 Table 3.14.1 Additional strengthening of bottom
                                       forward
                                 
                                    
                                       
                                          | Item
                                             
                                           | 
                                          Requirements
                                             
                                           | 
                                        
                                       
                                          (1)
                                             Longitudinally framed bottom shell plating (including keel)
                                              (see Notes 1 and 2) 
                                             
                                           | 
                                          
                                             t = 0,003s f
                                              
                                             
                                             
                                           | 
                                        
                                       
                                          | (2) Bottom
                                             longitudinals – other than flat bars
                                             
                                           | 
                                          
                                              
                                              
                                              
                                              
                                              
                                              
                                              
                                              
                                              
                                             
                                             
                                           | 
                                        
                                       
                                          | (3) Bottom
                                             longitudinals – flat bars
                                             
                                           | 
                                          Will be specially considered
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          Transverse framing
                                             
                                           | 
                                          Longitudinal framing
                                             
                                           | 
                                        
                                       
                                          | (4) Primary structure in
                                             way of single bottoms
                                             
                                           | 
                                          (a) 
                                             
                                           | 
                                          Centreline
                                             girder: 
                                             Scantlings as required by Table 3.3.12 Single bottom construction
                                                   forward, minimum requirements as appropriate, except that in
                                                determining Z in way of a deep tank forward of
                                                0,8LR the value of h5 is to be
                                                increased by the following percentages: where
                                                TFB ≤ 0,03L
                                                2, 30 per cent where TFB ≥
                                                0,04L2, 0 per cent The increase in
                                                h5 for intermediate values of TFB
                                                to be obtained by interpolation 
                                              
                                             
                                             
                                           | 
                                          (a)
                                             
                                           | 
                                          Ships having one or more longitudinal
                                             bulkheads: (i) Centreline girder  Scantlings
                                             as required by Table 3.3.12 Single bottom construction
                                                forward, minimum requirements as appropriate (ii)
                                             Bottom transverses  Maximum spacing as for midships region,
                                             scantlings as required by Section 2, as appropriate (iii) For
                                             horizontally stiffened longitudinal bulkheads and girders the depth to
                                             thickness ratio of the panel attached to the bottom shell plate is not to
                                             exceed 55  
                                              (iv) Where TFB
                                             <0,025L2 the scantlings and arrangements will
                                             receive individual consideration 
                                             
                                           | 
                                        
                                       
                                          | (b)
                                             
                                           | 
                                          Floors:
                                             
                                              Scantlings as required by Table 3.3.12 as appropriate, except that in
                                                way of dry spaces the minimum face area is to be increased by the
                                                following percentages: where T
                                                FB ≤ 0,03L2, 50 per
                                                cent where TFB ≥
                                                0,04L2, 0 per cent The increase of
                                                minimum face area for intermediate values of TFB to be
                                                obtained by interpolation
                                              
                                              
                                             
                                             
                                           | 
                                          (b)
                                             
                                           | 
                                          Other ship arrangements will
                                             receive individual consideration
                                             
                                           | 
                                        
                                       
                                          | (c)
                                             
                                           | 
                                          Side
                                             girders:
                                             
                                              Arrangement and scantlings as required by Table 3.3.12 Single bottom construction
                                                   forward, minimum requirements as appropriate, with the
                                                addition of intermediate half-height girders or equivalent fore and aft
                                                stiffening 
                                              
                                              
                                              | 
                                           
                                             
                                           | 
                                           
                                             
                                           | 
                                        
                                       
                                          | (5) Primary structure in
                                             way of double bottoms (see Note 3) 
                                             
                                           | 
                                          (a)
                                             
                                           | 
                                           Plate
                                             floors: 
                                             Maximum spacing, every
                                                frame Scantlings as required by Vol  1, Pt  6, Ch  3,  2 Minimum structural requirements
                                                
                                              
                                             
                                             
                                           | 
                                          (a)
                                             
                                           | 
                                           Plate floors: 
                                             Maximum spacing: 0,002sF m for
                                                T
                                                FB < 0,04L
                                                2
                                                 0,003sF m for T
                                                FB ≥ 0,04L
                                                2
                                                 but not to exceed that required by Table 3.3.12 Single bottom construction
                                                   forward, minimum requirements as appropriate 
                                              
                                             
                                             
                                           | 
                                        
                                       
                                          | (b)
                                             
                                           | 
                                          Centreline and side
                                             girders: 
                                             Maximum spacing,
                                                0,003sF m Scantlings as required by Vol  1, Pt  6, Ch  3,  2 Minimum structural requirements
                                                
                                              
                                             
                                             
                                           | 
                                          (b)
                                             
                                           | 
                                          Centreline and side
                                             girders: 
                                             Maximum
                                                spacing: 0,003s
                                                L m for T
                                                FB < 0,04L
                                                2 
                                                 0,004s
                                                L m for T
                                                FB ≥ 0,04L
                                                2
                                                  but not to exceed that required by Table 3.3.12 Single bottom construction
                                                   forward, minimum requirements, as appropriate 
                                              
                                             
                                             
                                           | 
                                        
                                       
                                          | (c)
                                             
                                           | 
                                          Intermediate
                                             half-height girders to be arranged midway between side girders:
                                             
                                           | 
                                          Scantlings as required by Table 3.3.12 Single bottom construction
                                                forward, minimum requirements, as appropriate 
                                             
                                           | 
                                        
                                       
                                          | Scantlings as required for non-watertight side
                                             girders by Section 2
                                             
                                           | 
                                        
                                       
                                          | (6) Primary
                                             structure in way of double bottoms supported by longitudinal
                                             bulkheads
                                             
                                           | 
                                          — 
                                             
                                           | 
                                          The scantlings and arrangements will receive
                                             individual consideration on the basis of direct calculations using, if
                                             necessary, a suitably defined two-dimensional grillage model
                                             
                                           | 
                                        
                                       
                                          | Symbols
                                             
                                           | 
                                        
                                       
                                          | L
                                             R,  T as defined in Vol  1, Pt  3, Ch  1,  5.2 Principal particulars
                                             
                                             
                                           | 
                                        
                                       
                                          | L
                                             2, S, s, k
                                             s as defined in Vol  1, Pt  6, Ch  3,  3.2 Symbols 3.2.1
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                | 
                                                      = | 
                                                      (0,87 + 0,16S) c
                                                            1 for S > 2,5 m  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                | 
                                                      = | 
                                                      (1,14 – 0,14S) for 1,0 m < S ≤ 4,0 m  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                | 
                                                      = | 
                                                      
                                                              for S > 4,0 m  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
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                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            f
                                                             | 
                                                      = | 
                                                      
                                                              but not greater than 1,0  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
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                                          | 
                                             
                                             
                                             
                                             
                                             
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                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                | 
                                                      = | 
                                                      
                                                            S, in metres, where in way of a single bottom  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            p
                                                             | 
                                                      = | 
                                                      9,81h
                                                            s
                                                            sc
                                                            1
                                                             x 10-3 kN  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            s
                                                            F
                                                             | 
                                                      = | 
                                                      spacing of transverse frames, in mm, for
                                                            longitudinally framed side and bottom construction s
                                                            F may be taken as s
                                                            L
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            s
                                                            L
                                                             | 
                                                      = | 
                                                      spacing of bottom longitudinals, in mm | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            t
                                                            w
                                                             | 
                                                      = | 
                                                      web thickness, in mm | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            A
                                                            f
                                                             | 
                                                      = | 
                                                      cross-sectional area of primary member web stiffener,
                                                            in cm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            A
                                                            fc
                                                             | 
                                                      = | 
                                                      effective area of primary member web stiffener in way
                                                            of butted end connection to the longitudinal, in cm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            A
                                                            L
                                                             | 
                                                      = | 
                                                      area of weld of lapped connection, in cm2,
                                                            calculated as total length of weld, in cm x throat thickness, in cm  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            A
                                                            w
                                                             | 
                                                      = | 
                                                      area of weld of lug and web connection to the
                                                            longitudinal, in cm2, calculated as total length of weld
                                                            in cm x throat thickness, in cm  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            A
                                                            1
                                                             | 
                                                      = | 
                                                      effective total cross-sectional area of the lug and
                                                            web connection to the longitudinal, in cm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               α | 
                                                      = | 
                                                      
                                                            A
                                                            f
                                                              for the web stiffeners  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                | 
                                                      = | 
                                                      
                                                            A
                                                            fc
                                                              for a butted connection to the longitudinals  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                | 
                                                      = | 
                                                      
                                                            A
                                                            L
                                                              for a lapped connection  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note 
                                                   1. If intermediate stiffening is fitted
                                                   the thickness of the bottom shell plating may be 80 per cent of that
                                                   required by (1) but is to be not less than the normal taper
                                                   thickness.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note 
                                                   2. For transverse framing the bottom
                                                   shell plating is to be specially considered.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note 
                                                   3. Particular care is to be taken to
                                                   limit the size and number of openings in way of the ends of floors or
                                                   girders or to fit suitable reinforcement where such openings are
                                                   essential.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.14.2 Permissible stresses
                                 
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                           
                           
                           
                              
                              
                              14.2.5 Bottom
                                 longitudinals are to pass through and be supported by the webs of
                                 primary members. The vertical web stiffeners are to be connected to
                                 the bottom longitudinals. The cross-sectional area of the connections
                                 is to comply with the requirements given in Table 3.14.1 Additional strengthening of bottom
                                    forward
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                              
                              
                              14.2.7 For NS1 ships with a block coefficient, Cb, greater than
                                 0,6, the equivalent slamming pressure expressed as a head of water,
                                 hs, is to be obtained from Figure 3.14.1 Pressure heads where hmax is calculated
                                 from the following expressions: 
                               
                              
                              
                              
                              
                              
                              
                              
                              where 
                              
                              
                              
                              
                              
                                is the minimum draught, in metres, at the location under
                                 consideration for all operational loading conditions, and is to be measured from the
                                 underside of the keel to the operational waterline
                               
                              
                              
                              
                              
                                 LR is as defined in Vol  1, Pt  3, Ch  1,  5.2 Principal particulars
                                 
                               
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.14.1 Pressure heads
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              14.2.8 For NS1 ships where Cb < 0,6 and for NS2 and NS3
                                 ships, the equivalent bottom impact pressure head, hs, is to be
                                 derived in accordance with the following: 
                               
                              
                              
                              
                              
                              
                              where 
                              
                              
                              
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                
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