Section 
                     12 Strengthening for wave impact loads
                  
                  
                  
                  
                  
                  
                  
                     
                        
                         
                        12.1 General
                        
                        
                        
                        
                           
                           
                           
                           
                           
                              
                              
                              12.1.2 The
                                 scantlings of the primary support structure are to be adequate to
                                 resist the application of the Rule slamming load, Pbf,
                                 as defined in Pt  4, Ch  2,  4.2 Bow flare and wave impact pressures 4.2.1,
                                 over an area Asl, as shown in Figure 2.5.2 Mean spacing between primary members, S
                                    cm,
                                    and the extents of wave impact pressure g
                                    bfh and g
                                    bfv
                                     in Pt  4, Ch  2 Ferries, Roll On-Roll Off Ships and Passenger Ships.
                                 The loaded area, Asl, is a rectangle with a horizontal
                                 extent, gbfh, and vertical extent, gbfv, taken
                                 as follows:
                                 
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             gbfv
                                                
                                              | 
                                       = | 
                                       
                                               m
                                              | 
                                     
                                  
                               
                              
                              
                              
                              where 
                              
                              
                              
                              
                                 Kbf
                                     and βp are given in Pt  4, Ch  2,  4.2 Bow flare and wave impact pressures 4.2.1.
                                 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              12.1.3 To
                                 satisfy Pt  4, Ch  8,  12.1 General 12.1.2, the scantlings
                                 of web frames supporting side longitudinals or side stringers supporting
                                 transverse frames are to comply with the following:
                                 
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
Section modulus
                                       not to be less than:
                                     
                                    
                                    
                                    
                                       
                                          
                                             | 
                                                      
                                                   Z
                                                    | 
                                             = | 
                                             3,75f
                                                   rpc γZ
                                                    k hs q v
                                                      le 
                                                      2
                                                       cm3
                                                    | 
                                           
                                        
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
Web area not
                                       to be less than:
                                     
                                    
                                    
                                    
                                       
                                          
                                             | 
                                                      
                                                   A
                                                    | 
                                             = | 
                                             0,20f
                                                   rpc γA k hs q v le cm2
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             where | 
                                           
                                          
                                             | 
                                                      
                                                   hs
                                                      
                                                    | 
                                             = | 
                                             wave impact head, in metres, as defined in Pt  4, Ch  2,  4.3 Strengthening for wave impact loads 4.3.2.
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             and | 
                                           
                                          
                                             | 
                                                      
                                                   f
                                                   rpc
                                                    | 
                                             = | 
                                             
                                                    
                                                    | 
                                              
                                                | = | 
                                                
                                                       
                                                       | 
                                              
                                          
                                          
                                             | 
                                                      
                                                   P
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the maximum propulsion shaft power in kW for which the machinery is
                                                   classed, see Pt  5, Ch  1,  3 Operating conditions
                                                    | 
                                           
                                          
                                             | 
                                                      
                                                   H
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the maximum propulsion shaft power in HP for which the machinery is
                                                   classed, see 
                                                   Pt  5, Ch  1,  3 Operating conditions
                                                    | 
                                           
                                          
                                             | 
                                                      
                                                   V
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the speed, in knots as defined in Pt  3, Ch  1,  6 Definitions
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             γA and γZ are strength factors
                                                   dependent on the load position:
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             for q < 1:γA = q3 – 2q2 +
                                                   2 and γZ = 3q3 – 8q2 +
                                                   6q
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             for q = 1:γA = 1γZ = 1
                                                    | 
                                           
                                          
                                             | 
                                                      
                                                   q
                                                    | 
                                             = | 
                                             
                                                     but ≤ 1
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             for web frames | 
                                           
                                          
                                             | 
                                                      
                                                   u
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is the minimum of gbfv or le
                                                    | 
                                           
                                          
                                             | 
                                                      
                                                   v
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the minimum of gbfh or S
                                                   cm
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             for side stringers | 
                                           
                                          
                                             | 
                                                      
                                                   u
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is the minimum of gbfh or le
                                                    | 
                                           
                                          
                                             | 
                                                      
                                                   v
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the minimum of gbfv or Scm
                                                    | 
                                           
                                          
                                             | 
                                                      le
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the effective length of the primary member, in metres | 
                                           
                                          
                                             | 
                                                      Scm
                                                   
                                                      
                                                      
                                                    | 
                                             = | 
                                             is
                                                   the mean spacing between primary members along the plating, in metres, see 
                                                   Figure 2.5.2 Mean spacing between primary members, S
                                                      cm,
                                                      and the extents of wave impact pressure g
                                                      bfh and g
                                                      bfv
                                                       in Pt  4, Ch  2 Ferries, Roll On-Roll Off Ships and Passenger Ships
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             
                                                   g
                                                   bfv and g
                                                   bfh are
                                                   defined in Pt  4, Ch  8,  12.1 General 12.1.2
                                                    | 
                                           
                                        
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
Web plating is
                                       to be adequately stiffened to resist shear buckling as required by Table 8.12.1 Critical shear buckling stress for
                                          web plating of primary support structure.
                                       
                                     
                                    
                                    
                                  
                               
                              
                              
                              
                              
                              
                                 Table 8.12.1 Critical shear buckling stress for
                                       web plating of primary support structure
                                 
                                    
                                       
                                          | τA ≤ τCRB
                                             
                                             
                                           | 
                                        
                                       
                                          | where
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                          when
                                             τE ≤  
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               τCRB
                                                             | 
                                                      = | 
                                                      τ0
                                                              N/mm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                          when
                                             τE >  
                                             
                                             
                                           | 
                                        
                                       
                                          | where
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               τE
                                                             | 
                                                      = | 
                                                      3,6   N/mm2 | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | Symbols
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               τA
                                                             | 
                                                      = | 
                                                      design shear stress for the web panel in
                                                            N/mm2 corresponding to the worst combination of
                                                            application of the slamming load P
                                                            bf on the patch area A
                                                            sl
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                                τCRB
                                                             | 
                                                      = | 
                                                      critical buckling stress in shear, N/mm2
                                                            corrected for yielding effects  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               τ0
                                                             | 
                                                      = | 
                                                      
                                                             
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               σo
                                                             | 
                                                      = | 
                                                      specified minimum yield stress, in N/mm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               τE
                                                             | 
                                                      = | 
                                                      elastic critical buckling stress in shear, in
                                                            N/mm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            s
                                                             | 
                                                      = | 
                                                      length of longer panel edge, in mm (generally the
                                                            spacing of web stiffeners) | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            S
                                                             | 
                                                      = | 
                                                      length of smaller panel edge, in metres (generally
                                                            the web depth) | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            E
                                                             | 
                                                      = | 
                                                      modulus of elasticity, in N/mm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               τp
                                                             | 
                                                      = | 
                                                      as built thickness of primary member web plating, in
                                                            mm | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                         
                        
                        
                      
                     
                   
                
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