Section 
                     15 Requirements for ships with large deck openings
                  
                  
                  
                  
                  
                  
                  
                     
                        
                         
                        15.1 Application
                        
                        
                        
                        
                           
                           
                              
                              
                              15.1.1 The
                                 combined stresses due to vertical bending moment, horizontal bending
                                 moment and torque are to be calculated as described in this Section.
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        15.2 Symbols and definitions 
                        
                        
                        
                        
                           
                           
                              
                              
                              15.2.1 The
                                 following symbols and definitions are applicable to this Section unless
                                 otherwise stated:
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             Z
                                             Y
                                              | 
                                       = | 
                                       actual hull section modulus about the transverse neutral axis
                                             at the position considered, in m3
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             Z
                                             Z
                                              | 
                                       = | 
                                       actual hull section modulus about the vertical neutral axis
                                             at the position considered, in m3
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                 ε  | 
                                       = | 
                                       shear centre distance below baseline, in metres, may be taken as
                                             fε εm. Alternatively, the shear centre position
                                             along the length of the ship may be obtained by direct calculation. ε is taken as
                                             positive where the shear centre is below the baseline | 
                                     
                                    
                                       | 
                                                εm | 
                                       = | 
                                       maximum shear centre distance below baseline of the ship in the midship region,
                                             in metres. εm is taken as positive where the shear centre is below the
                                             baseline | 
                                     
                                    
                                       | 
                                                fε | 
                                       = | 
                                       longitudinal distribution factor of shear centre, to be taken as follows:
                                             
                                                - -1,0 at the aft end of L
 
                                                - 1,0 between engine room forward bulkhead and
                                                   0,8L from aft
                                                
 
                                                - -1,0 at the forward end of L
 
                                              
                                             
                                             
                                             Intermediate values are to be determined by linear interpolation 
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             M
                                             S
                                              | 
                                       = | 
                                       design still water bending moment at the section under consideration,
                                             in kN m  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σC
                                              | 
                                       = | 
                                       combined
                                             stress at the position considered. | 
                                     
                                  
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        15.3 Design loadings
                        
                        
                        
                        
                           
                           
                              
                              
                              15.3.1 The design vertical wave bending moments, MWC1 and
                                 MWC2, at any position along the ship is defined as: 
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MWC1
                                              | 
                                       = | 
                                       0,05C0
                                             C31
                                             L2
                                             B (Cb + 0,7) kN m  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MWC2
                                              | 
                                       = | 
                                       0,05C0
                                             C32
                                             L2
                                             B (Cb + 0,7) kN m  | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             C0 | 
                                       = | 
                                        
                                              | 
                                     
                                  
                               
                              
                              
                              
                              
                                 L, B, Cb are given in Pt  3, Ch  1,  6 Definitions
  
                              
                              
                              
                              The sign convention is given in Figure 8.15.1 Sign conventions for hull girder
                                    loads
                                 
                               
                              
                              
                              
                              
                              
                                 Table 8.15.1 Distribution of wave bending
                                       moments
                                 
                                    
                                       
                                          | Position
                                             
                                           | 
                                          
                                             C
                                             31
                                             
                                             
                                           | 
                                          
                                             C
                                             32
                                             
                                             
                                           | 
                                        
                                       
                                          | Station
                                             
                                           | 
                                          0 (A.P.)
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          1
                                             
                                           | 
                                          0,062
                                             
                                           | 
                                          0,018
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          2
                                             
                                           | 
                                          0,158
                                             
                                           | 
                                          0,017
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          3
                                             
                                           | 
                                          0,305
                                             
                                           | 
                                          -0,008
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          4
                                             
                                           | 
                                          0,460
                                             
                                           | 
                                          -0,058
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          5
                                             
                                           | 
                                          0,611
                                             
                                           | 
                                          -0,137
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          6
                                             
                                           | 
                                          0,732
                                             
                                           | 
                                          -0,235
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          7
                                             
                                           | 
                                          0,817
                                             
                                           | 
                                          -0,350
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          8
                                             
                                           | 
                                          0,850
                                             
                                           | 
                                          -0,458
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          9
                                             
                                           | 
                                          0,836
                                             
                                           | 
                                          -0,548
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          10 (mid –
                                             Lpp) 
                                             
                                           | 
                                          0,780
                                             
                                           | 
                                          -0,607
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          11
                                             
                                           | 
                                          0,683
                                             
                                           | 
                                          -0,615
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          12
                                             
                                           | 
                                          0,555
                                             
                                           | 
                                          -0,571
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          13
                                             
                                           | 
                                          0,415
                                             
                                           | 
                                          -0,498
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          14
                                             
                                           | 
                                          0,275
                                             
                                           | 
                                          -0,404
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          15
                                             
                                           | 
                                          0,165
                                             
                                           | 
                                          -0,302
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          16
                                             
                                           | 
                                          0,085
                                             
                                           | 
                                          -0,208
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          17
                                             
                                           | 
                                          0,041
                                             
                                           | 
                                          -0,132
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          18
                                             
                                           | 
                                          0,022
                                             
                                           | 
                                          -0,074
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          19
                                             
                                           | 
                                          0,010
                                             
                                           | 
                                          -0,028
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          20 (F.P.)
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          -0,000
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note Intermediate values are to be determined by linear
                                                   interpolation.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 8.15.1 Sign conventions for hull girder
                                       loads
                               
                              
                              
                            
                           
                           
                           
                           
                           
                              
                              
                              15.3.2 The design horizontal wave bending moments, MHC1 and
                                 MHC2, at any position along the ship are defined as: 
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MHC1
                                              | 
                                       = | 
                                       0,2033 C0
                                             C41
                                             L
                                             2
                                             T (Cb + 0,7) kN m  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MHC2
                                              | 
                                       = | 
                                       0,2033 C0
                                             C42
                                             L2
                                             T (Cb + 0,7) kN m  | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                                 C
                                 0 is defined in Pt  4, Ch  8,  15.3 Design loadings 15.3.1
                                  
                                 L, T ,C
                                 b are given in Pt  3, Ch  1,  6 Definitions 
                              
                              
                              
                               The sign convention is given in Figure 8.15.1 Sign conventions for hull girder
                                    loads
                                 
                               
                              
                              
                              
                              
                              
                                 Table 8.15.2 Distribution of horizontal wave
                                       bending moments and hydrodynamic torques
                                 
                                    
                                       
                                          | Position
                                             
                                           | 
                                          
                                             C41
                                             
                                             
                                           | 
                                          
                                             C42
                                             
                                             
                                           | 
                                          
                                             C51
                                             
                                             
                                           | 
                                          
                                             C
                                             52
                                             
                                             
                                           | 
                                          
                                             K31
                                             
                                             
                                           | 
                                          
                                             K32
                                             
                                             
                                           | 
                                        
                                       
                                          | Station
                                             
                                           | 
                                          0 (A.P.)
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          1
                                             
                                           | 
                                          –0,016
                                             
                                           | 
                                          0,010
                                             
                                           | 
                                          -0,181
                                             
                                           | 
                                          0,124
                                             
                                           | 
                                          0,101
                                             
                                           | 
                                          –0,113
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          2
                                             
                                           | 
                                          –0,046
                                             
                                           | 
                                          0,046
                                             
                                           | 
                                          -0,343
                                             
                                           | 
                                          0,349
                                             
                                           | 
                                          0,211
                                             
                                           | 
                                          –0,304
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          3
                                             
                                           | 
                                          –0,097
                                             
                                           | 
                                          0,119
                                             
                                           | 
                                          -0,439
                                             
                                           | 
                                          0,593
                                             
                                           | 
                                          0,276
                                             
                                           | 
                                          –0,486
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          4
                                             
                                           | 
                                          –0,154
                                             
                                           | 
                                          0,228
                                             
                                           | 
                                          -0,433
                                             
                                           | 
                                          0,794
                                             
                                           | 
                                          0,277
                                             
                                           | 
                                          –0,659
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          5
                                             
                                           | 
                                          –0,208
                                             
                                           | 
                                          0,369
                                             
                                           | 
                                          -0,387
                                             
                                           | 
                                          0,898
                                             
                                           | 
                                          0,214
                                             
                                           | 
                                          –0,804
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          6
                                             
                                           | 
                                          –0,242
                                             
                                           | 
                                          0,533
                                             
                                           | 
                                          -0,285
                                             
                                           | 
                                          0,959
                                             
                                           | 
                                          0,089
                                             
                                           | 
                                          –0,860
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          7
                                             
                                           | 
                                          –0,247
                                             
                                           | 
                                          0,699
                                             
                                           | 
                                          -0,123
                                             
                                           | 
                                          0,930
                                             
                                           | 
                                          –0,083
                                             
                                           | 
                                          –0,801
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          8
                                             
                                           | 
                                          –0,217
                                             
                                           | 
                                          0,846
                                             
                                           | 
                                          0,086
                                             
                                           | 
                                          0,849
                                             
                                           | 
                                          –0,268
                                             
                                           | 
                                          –0,662
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          9
                                             
                                           | 
                                          –0,153
                                             
                                           | 
                                          0,948
                                             
                                           | 
                                          0,189
                                             
                                           | 
                                          0,723
                                             
                                           | 
                                          –0,422
                                             
                                           | 
                                          –0,404
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          10 (mid –
                                             L
                                             pp) 
                                             
                                           | 
                                          –0,072
                                             
                                           | 
                                          0,997
                                             
                                           | 
                                          0,245
                                             
                                           | 
                                          0,586
                                             
                                           | 
                                          –0,485
                                             
                                           | 
                                          –0,090
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          11
                                             
                                           | 
                                          0,014
                                             
                                           | 
                                          0,985
                                             
                                           | 
                                          0,271
                                             
                                           | 
                                          0,411
                                             
                                           | 
                                          –0,447
                                             
                                           | 
                                          0,232
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          12
                                             
                                           | 
                                          0,087
                                             
                                           | 
                                          0,915
                                             
                                           | 
                                          0,263
                                             
                                           | 
                                          0,239
                                             
                                           | 
                                          –0,338
                                             
                                           | 
                                          0,483
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          13
                                             
                                           | 
                                          0,136
                                             
                                           | 
                                          0,802
                                             
                                           | 
                                          0,189
                                             
                                           | 
                                          0,079
                                             
                                           | 
                                          –0,227
                                             
                                           | 
                                          0,734
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          14
                                             
                                           | 
                                          0,158
                                             
                                           | 
                                          0,657
                                             
                                           | 
                                          0,080
                                             
                                           | 
                                          -0,081
                                             
                                           | 
                                          –0,094
                                             
                                           | 
                                          0,913
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          15
                                             
                                           | 
                                          0,151
                                             
                                           | 
                                          0,502
                                             
                                           | 
                                          -0,053
                                             
                                           | 
                                          -0,099
                                             
                                           | 
                                          0,067
                                             
                                           | 
                                          0,998
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          16
                                             
                                           | 
                                          0,123
                                             
                                           | 
                                          0,349
                                             
                                           | 
                                          -0,131
                                             
                                           | 
                                          -0,058
                                             
                                           | 
                                          0,185
                                             
                                           | 
                                          0,952
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          17
                                             
                                           | 
                                          0,083
                                             
                                           | 
                                          0,214
                                             
                                           | 
                                          -0,149
                                             
                                           | 
                                          0,051
                                             
                                           | 
                                          0,245
                                             
                                           | 
                                          0,821
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          18
                                             
                                           | 
                                          0,043
                                             
                                           | 
                                          0,106
                                             
                                           | 
                                          -0,080
                                             
                                           | 
                                          0,072
                                             
                                           | 
                                          0,220
                                             
                                           | 
                                          0,627
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          19
                                             
                                           | 
                                          0,013
                                             
                                           | 
                                          0,034
                                             
                                           | 
                                          -0,029
                                             
                                           | 
                                          0,040
                                             
                                           | 
                                          0,133
                                             
                                           | 
                                          0,326
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          20 (F.P.)
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                          0,000
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note Intermediate values are to be determined by linear
                                                   interpolation.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              15.3.3 The design hydrodynamic torques, MWTC1 and
                                 MWTC2, at any position along the ship are defined as: 
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MWTCB1
                                              | 
                                       = | 
                                       0,0728C0
                                             C51
                                             L
                                             B2 (Cb + 0,7) kN m  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MWTCQ1
                                              | 
                                       = | 
                                       –(0,65T +  ) QHC1 kN m   | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MWTCB2
                                              | 
                                       = | 
                                       0,0728C0
                                             C52
                                             L
                                             B2 (Cb + 0,7) kN m  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MWTCQ2
                                              | 
                                       = | 
                                       –(0,65T +   ) QHC2 kN m  | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                                 C
                                 0 is defined in Pt  4, Ch  8,  15.3 Design loadings 15.3.1 
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             QHC1
                                              | 
                                       = | 
                                       0,8385 C0
                                             K31
                                              L T (Cb + 0,7) kN  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             QHC2
                                              | 
                                       = | 
                                       0,8385 C0
                                             K32
                                              L T (Cb + 0,7) kN  | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                                 L, B, T, Cb, are given in Pt  3, Ch  1,  6 Definitions. ε is given in Pt  4, Ch  8,  15.2 Symbols and definitions  15.2.1 
                              
                              
                              
                              
                                  The sign convention is given in Figure 8.15.1 Sign conventions for hull girder
                                    loads
                                 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.3.4 The value and distribution of static cargo torque, MSTC,
                                 are to be specified by the designer based on the intended operation of the ship and are
                                 not to be less than minimum design value of static cargo torque. The minimum design
                                 value of static cargo torque, MSTC, at any position along the ship is
                                 defined as: 
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             MSTC
                                              | 
                                       = | 
                                       15,7C6
                                             B (ηs ηt + 0,7Nsd
                                             Ntd) kNm  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                ηs
                                              | 
                                       = | 
                                       the
                                             maximum number of stacks of containers over the breadth of the cargo
                                             hold | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                ηt
                                              | 
                                       = | 
                                       the
                                             maximum number of tiers of containers in the cargo hold amidships,
                                             excluding containers above the main deck or on the hatch covers | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             Nsd
                                              | 
                                       = | 
                                       the maximum number of stacks of containers over the breadth, B, on hatch covers or above the main deck
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             Ntd
                                              | 
                                       = | 
                                       the number of tiers of containers on hatch covers or above the
                                             main deck amidships, excluding  containers in cargo holds | 
                                     
                                  
                               
                              
                              
                              
                              
                                 B is given in Pt  3, Ch  1,  6 Definitions.
                                 
                               
                              
                              
                              
                              
                              
                                 Table 8.15.3 Static cargo torque distribution
                                       factor
                                 
                                    
                                       
                                          | Position
                                             
                                           | 
                                          Factor C6
                                             
                                             
                                           | 
                                        
                                       
                                          | Station
                                             
                                           | 
                                          0 (A.P.)
                                             
                                           | 
                                          0,0
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          5
                                             
                                           | 
                                          1,0
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          15
                                             
                                           | 
                                          1,0
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          20 (F.P.)
                                             
                                           | 
                                          0,0
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note Intermediate values are to be determined by linear
                                                   interpolation.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        15.4 Combined stress
                        
                        
                        
                        
                           
                           
                              
                              
                              15.4.1 Combined
                                 stress calculations are to be carried out at least at the following
                                 positions along the length of the ship:
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
At the forward
                                       and aft ends of the engine room.
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
At the forward
                                       and aft ends of the deck-house for multi-island designs.
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
At the forward
                                       and aft transverse bulkhead positions of each cargo bay.
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
At the forward
                                       and aft transverse bulkhead of fuel oil deep tanks.
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
At any other
                                       sections where there are significant changes in cross-section properties.
                                     
                                    
                                    
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.4.2 The combined stress, σc, is to be less than the permissible
                                 stress given in Table 8.15.4 Permissible stress. σc, is to be
                                 taken as the greatest magnitude of the following stresses: 
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σc1
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σc2
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σ'c1
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σ'c2
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                              where 
                              
                              
                              
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                σ'1
                                              | 
                                       = | 
                                         σWC1 - σHC1 - σWTC1 | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σ'2
                                              | 
                                       = | 
                                         σWC2 - σHC2 - σWTC2 | 
                                     
                                  
                               
                              
                              
                              
                              For σC1 
                              
                              
                              
                                 
                                    
                                       | 
                                                f
                                              | 
                                       = | 
                                         | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                f
                                              | 
                                       = | 
                                         | 
                                     
                                  
                               
                              
                              
                              
                              where 
                              
                              
                              
                                 
                                    
                                       | 
                                                MWC
                                              | 
                                       = | 
                                         | 
                                     
                                  
                               
                              
                              
                              
                              For σ'C1 
                              
                              
                              
                                 
                                    
                                       | 
                                                f | 
                                       = | 
                                         | 
                                     
                                  
                               
                              
                              
                              
                              For σ'C2 
                              
                              
                              
                                 
                                    
                                       | 
                                                f | 
                                       = | 
                                         | 
                                     
                                  
                               
                              
                              
                              
                              where 
                              
                              
                              
                                 
                                    
                                       | 
                                                MWC'  | 
                                       = | 
                                         | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σSC
                                              | 
                                       = | 
                                       longitudinal stress due to hogging or sagging design still water
                                             bending moment M
                                             s
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σWC1, σWC2 | 
                                       = | 
                                       longitudinal stress due to vertical wave bending moments | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σHC1, σHC2
                                              | 
                                       = | 
                                       longitudinal stress due to horizontal wave bending moments | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σSTC
                                              | 
                                       = | 
                                       longitudinal warping stress due to static cargo torque | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σWTC1, σWTC2
                                              | 
                                       = | 
                                       longitudinal warping stress due to hydrodynamic torques | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                              
                              
                              other symbols are as defined in Pt  4, Ch  8,  15.3 Design loadings and
                                 Pt  4, Ch  8,  15.4 Combined stress. 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.4.3 For ships with a beam greater than 32,26 m, longitudinal stresses are to be
                                 calculated using a finite element model of the entire hull in accordance with Part A of
                                 the LR’s ShipRight SDA procedure for container ships.
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.4.4 For ships with a beam less than or equal to 32,26 m, the longitudinal
                                 stresses may be obtained as follows:
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σSC
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σWC
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σHC1
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                σHC2
                                              | 
                                       = | 
                                       
                                              
                                              | 
                                     
                                  
                               
                              
                              
                              
                              σWTC1, σWTC2 and σSTC are to be evaluated by approved calculation procedures.
                                 
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             C
                                             7
                                              | 
                                       = | 
                                       coefficient for shear lag depending on vertical location of
                                             the point under consideration | 
                                        
                                          | = | 
                                          0,6 at inboard edge of strength deck | 
                                        
                                       
                                          | = | 
                                          1,0 at base line | 
                                        
                                       
                                          | = | 
                                          intermediate positions by interpolation | 
                                        
                                    
                                  
                               
                              
                              
                              
                              
                                 Z
                                 y and Z
                                 z are
                                 given in Pt  4, Ch  8,  15.2 Symbols and definitions  15.2.1.
                                 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.4.5 At
                                 each section the stresses are to be calculated on the port and starboard
                                 sides, at:
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
the inboard edge
                                       of the strength deck;
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
the point on
                                       the bilge where the combined stress is greatest; and
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
the top of continuous
                                       hatch coaming (where fitted).
                                     
                                    
                                    
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              15.4.6 Where the ship’s length is greater than 425 m or the ship’s beam is greater
                                 than 60 m, the vertical wave bending moments, horizontal wave bending moments and
                                 hydrodynamic torques are to be obtained from a direct calculation method. Alternatively,
                                 the hull stresses may be obtained using a probabilistic approach response-based analysis
                                 method considering the ship’s responses in wave environment. The analysis method is to
                                 be agreed with LR.
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        15.5 Permissible stress
                        
                        
                        
                        
                           
                           
                              
                              
                              15.5.1 The
                                 maximum tensile or compressive combined stress σc at
                                 any position along the length is not to be more than indicated in Table 8.15.4 Permissible stress. 
                                 
                               
                              
                              
                              
                              
                              
                                 Table 8.15.4 Permissible stress
                                 
                                    
                                       
                                          | Position
                                             
                                           | 
                                          Permissible combined
                                             stress,   N/mm2
                                             
                                             
                                           | 
                                        
                                       
                                          | Top of continuous hatch
                                             coaming
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                        
                                       
                                          | Elsewhere
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                           
                         
                        
                        
                      
                     
                   
                
             |