Section 
                     15 Strengthening for wave impact loads above waterline
                  
                  
                  
                  
                  
                  
                  
                     
                        
                         
                        15.1 General
                        
                        
                        
                        
                           
                           
                              
                              
                              15.1.1 This
                                 Section may be used to determine the required scantlings for strengthening
                                 against bow flare slamming for NS1 and NS2 type ships and for wave
                                 impacts on the shell envelope. Direct calculations may also be used
                                 to determine the required scantling.
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.1.2 The
                                 required scantlings for strengthening against wave impact loads for
                                 NS3 type ships will be specially considered on the basis of this Section.
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.1.3 The
                                 scantling requirements contained in this Section are based on no permanent
                                 set of plating. If acceptable, special consideration will be given
                                 to an alternative plating performance standard where specified. Areas
                                 designed in accordance with an alternative performance specification
                                 are to be clearly marked on the plans. Direct calculations may be
                                 used to determine the required scantlings.
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        15.2 Strengthening against bow flare wave impacts
                        
                        
                        
                        
                           
                           
                              
                              
                              15.2.1 The
                                 shell envelope above the design waterline is to be strengthened against
                                 bow flare wave impact pressures. The strengthening is to extend vertically
                                 to the uppermost deck level, including the forecastle deck, if fitted.
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                              
                              
                              15.2.3 The
                                 thickness of the side shell is to be not less than:
                               
                              
                              
                              
                              
                              
                              where 
                              
                              
                              
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             CR
                                              | 
                                       = | 
                                       panel ratio factor | 
                                        
                                          | = | 
                                          
                                                 but is not to be taken less than 0,06 or greater than 0,1
                                                 | 
                                        
                                    
                                  
                               
                              
                              
                              
                                 
                                    
                                       
                                                
                                              
                                              | 
                                       = | 
                                       overall panel length,
                                             in metres, measured along a chord between the primary members | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.15.1 Chord spacing and mean chord spacing for secondary members
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              15.2.4 The
                                 scantlings of primary members are not to be less than:
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
Section modulus
                                       of primary members
                                     
                                    
                                    
                                  
                               
                              
                              
                              
                              
                              
                                 - 
                                    
                                    
                                    
 Web area of
                                       primary members
                                     
                                    
                                    
                                  
                               
                              
                              
                              
                              
                              
                                 - 
                                    
                                    
                                    
The web of the
                                       primary member is to be adequately stiffened.
                                     
                                    
                                    
                                  
                               
                              
                              
                              
                              
                              
                              
                              for q < 1 γA = q
                                 
                                    3
                                     – 2q
                                 2 + 2 and γZ =
                                 3q3 – 8q
                                 2 + 6q
                                 
                               
                              
                              
                              
                              for q = 1 γA = 1 and γZ =
                                 1
                                 
                               
                              
                              
                              
                              
                              
                              for web frames: 
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             u
                                              | 
                                       = | 
                                       is the minimum of g
                                             bfv or  
                                             e
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             ν
                                              | 
                                       = | 
                                        is the minimum
                                             of g
                                             bfh or S
                                             cm
                                              | 
                                     
                                  
                               
                              
                              
                              
                              for primary stringers: 
                              
                              
                              
                                 
                                    where
                                    
                                       | 
                                                
                                             u
                                              | 
                                       = | 
                                       is the minimum of g
                                             bfh or  
                                             e
                                              | 
                                     
                                    
                                       | 
                                                
                                             ν
                                              | 
                                       = | 
                                       is the minimum
                                             of g
                                             bfv or S
                                             cm
                                              | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                                 g
                                 bfv and g
                                 bfh are
                                 defined in Vol  1, Pt  5, Ch  3,  4.3 Bow flare and wave impact pressures, IPbf 4.3.3
                                 
                               
                              
                              
                              
                              Other symbols are as defined in Vol  1, Pt  6, Ch  2,  1 General.
                                 
                               
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.15.2 Mean spacing between primary
                                       members, S
                                       cm and the extents of the bow flare wave impact pressure, g
                                       bfh and g
                                       bfv
                                       
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                           
                              
                              
                              15.2.6 The
                                 effective section properties of secondary stiffeners are to be taken
                                 as:
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
Plastic section
                                       modulus of secondary stiffeners, Z
                                       p is to
                                       be taken as:
                                       
                                     
                                    
                                    
                                    
                                       
                                          
                                             | 
                                                      
                                                   Z
                                                   p
                                                    | 
                                             = | 
                                             (2,8 x 10-4 scm
                                                    t
                                                   p 
                                                   2) - (10-3 
                                                   b
                                                   f 
                                                   b
                                                   fc 
                                                   t
                                                   f sinθe) + (5 x
                                                   10-4 (h
                                                   w 
                                                   2 
                                                   t
                                                   w + 2b
                                                   f 
                                                   t
                                                   f 
                                                   h
                                                   w) cosθe) cm3
                                                    | 
                                           
                                        
                                     
                                    
                                    
                                    
                                       
                                          - where
 
                                          
                                             | 
                                                      θe
                                                    | 
                                             = | 
                                             Co (90 -ϕ )
                                                    | 
                                           
                                          
                                             | 
                                                      Co
                                                    | 
                                             = | 
                                             1,1 | 
                                           
                                          
                                             | 
                                                      ϕ | 
                                             = | 
                                             the angle
                                                   between the stiffener and the side shell, in degrees | 
                                           
                                          
                                             | 
                                                      
                                                   bfc
                                                    | 
                                             = | 
                                             0,5(b
                                                   f - t
                                                   w)
                                                   for L profiles
                                                    | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                             0 for flat bar
                                                   and T profiles | 
                                           
                                          
                                             | 
                                                       | 
                                             = | 
                                              
                                                   see
                                                   Figure 2.2.1 Dimensions of longitudinals in Chapter 2, for bulb profiles for
                                                   c
                                                    | 
                                           
                                          
                                             | 
                                                      
                                                   hw
                                                    | 
                                             = | 
                                             height of web, in mm | 
                                           
                                          
                                             | 
                                                      
                                                   tw
                                                    | 
                                             = | 
                                             web thickness, in mm | 
                                           
                                          
                                             | 
                                                      
                                                   bf
                                                    | 
                                             = | 
                                             breadth of flange, in mm | 
                                           
                                          
                                             | 
                                                      
                                                   tf
                                                    | 
                                             = | 
                                             flange thickness, in mm | 
                                           
                                          
                                             | 
                                                      
                                                   tp
                                                    | 
                                             = | 
                                             thickness of attached plating, in mm | 
                                           
                                          
                                             | 
                                                      scm
                                                    | 
                                             = | 
                                             defined
                                                   in Vol  1, Pt  6, Ch  3,  15.2 Strengthening against bow flare wave impacts 15.2.5.
                                                    | 
                                           
                                        
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
Web area of secondary
                                       stiffeners, A 
                                       s is to be taken as:
                                       
                                     
                                    
                                    
                                    
                                       
                                          
                                             | 
                                                      
                                                   A 
                                                   s
                                                    | 
                                             = | 
                                             0,01 (h
                                                   w + t
                                                   p) t
                                                   w sinϕ cm2
                                                    | 
                                           
                                        
                                     
                                    
                                    
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.2.7 For
                                 primary members with cut-outs for the passage of secondary stiffeners,
                                 and which may have web stiffeners connected to the secondary stiffener,
                                 buckling checks are to be carried out to ensure that the primary member
                                 web plating and web stiffener will not buckle under the design load.
                                 The buckling procedure to be followed is given in Table 3.15.1 Buckling procedure for primary
                                    member web plating and web stiffener Where the web stiffener
                                 is fitted with a bracket, the buckling capability of the web stiffener
                                 in way of the cut-out is to take into account the bracket. Where no
                                 web stiffener is fitted, the buckling capability of the primary member
                                 web plating is to be checked for the total load transmitted to the
                                 connection.
                                 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.2.8 The
                                 structural scantlings required in areas strengthened against bow flare
                                 wave impact are to be tapered to meet the normal shell envelope requirements.
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.2.9 Where
                                 the stiffener web is not perpendicular to the plating, tripping brackets
                                 may need to be fitted in order to obtain adequate lateral stability.
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.2.10 Where
                                 the angle between the primary structure web and the plating is less
                                 than 70°, the effective section modulus and shear area are to
                                 take account of the non-perpendicularity.
                               
                              
                              
                            
                           
                           
                           
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        15.3  Strengthening against wave impact loads
                        
                        
                        
                        
                           
                           
                              
                              
                              15.3.1 The
                                 requirements of Vol  1, Pt  6, Ch  3,  15.2 Strengthening against bow flare wave impacts are to
                                 be applied to areas of plating which are liable to be subjected to
                                 wave impact loads; for example, bottom plating of wide transom sterns,
                                 undersides of sponsons for aircraft lifts.
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.15.1 Buckling procedure for primary
                                       member web plating and web stiffener
                                 
                                    
                                       
                                          | Steps
                                             
                                           | 
                                          Members
                                             
                                           | 
                                        
                                       
                                          | Primary member
                                             web plating
                                             
                                           | 
                                          Primary member
                                             web stiffener
                                             
                                           | 
                                        
                                       
                                          | Determination of the
                                             design compressive stress, σa, N/mm2
                                             (kgf/mm2) 
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          Determination of
                                             the elastic critical buckling stress, σe, in
                                             compression,  N/mm2 (kgf/mm2) 
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | Determination of the
                                             corrected critical buckling stress, σcr, in compression,
                                             N/mm2 (kgf/mm2) 
                                             
                                           | 
                                          σcr = σ0
                                              
                                              σcr = σe
                                             
                                             
                                           | 
                                          where
                                             σe>  
                                              where σe ≤  
                                             
                                             
                                           | 
                                        
                                       
                                          | Requirement
                                             
                                           | 
                                          σcr ≥ σa
                                             
                                             
                                           | 
                                        
                                       
                                          | Symbols
                                             
                                           | 
                                        
                                       
                                          
                                             bw, bs,  w and  s are dimensions, in mm, as shown in Figure 3.15.3 Dimensions of critical areas of (a) primary member web plating and (b) primary member web stiffener
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            ts
                                                             | 
                                                      = | 
                                                      thickness of primary member web stiffener, in mm | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            tw
                                                             | 
                                                      = | 
                                                      thickness of primary member web plating, in mm | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            E
                                                             | 
                                                      = | 
                                                      modulus of elasticity, in N/mm2
                                                             | 
                                                       
                                                         | = | 
                                                         206000 N/mm2 for steel  | 
                                                       
                                                   
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            Is
                                                             | 
                                                      = | 
                                                      
                                                             
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            Iw
                                                             | 
                                                      = | 
                                                      
                                                             
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            P
                                                             | 
                                                      = | 
                                                      total load transmitted to the connection | 
                                                       
                                                         | = | 
                                                         10,06 S
                                                               cm
                                                               s
                                                               cm
                                                               h
                                                               s x 10–3 kN  | 
                                                       
                                                   
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            Ps
                                                             | 
                                                      = | 
                                                      load transmitted through the primary member web
                                                            stiffener, in kN, to be determined from P
                                                            2 = P – P
                                                            1, in kN, or by direct calculations. Where P
                                                            1 = pressure transmitted through collar arrangement and
                                                            P = total load transmitted to the primary member  | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               
                                                            Pw
                                                             | 
                                                      = | 
                                                      load transmitted through the primary member web
                                                            plating, in kN | 
                                                       
                                                         | = | 
                                                         
                                                               P – P
                                                               s, or by direct calculations  | 
                                                       
                                                   
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | 
                                             
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                   
                                                      | 
                                                               σo
                                                             | 
                                                      = | 
                                                      specified minimum yield stress, in N/mm2
                                                             | 
                                                    
                                                 
                                              
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.15.3 Dimensions of critical areas of (a) primary member web plating and (b) primary member web stiffener
                               
                              
                              
                            
                           
                           
                           
                           
                         
                        
                        
                      
                     
                   
                
             |