Section 
                     4 Structural design factors
                  
                  
                  
                  
                  
                  
                  
                     
                        
                         
                        4.1 General
                        
                        
                        
                        
                           
                           
                              
                              
                              4.1.1 This
                                 Section gives the allowable design criteria to be used to assess the
                                 structure for maximum and minimum stresses and other values derived
                                 in accordance with the TLA method.
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                              
                              
                              4.1.3 The
                                 allowable design criteria are applicable for all ships including NS1
                                 ships.
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        4.2 Design criteria for the Total Load Assessment (TLA) approach
                        
                        
                        
                        
                           
                           
                           
                           
                           
                              
                              
                              4.2.2 In order
                                 to satisfy the requirements, the ratio of the actual stress to the
                                 allowable stress or load utilisation factor is to be less than 1,0,
                                 similarly for the deflection and buckling utilisation factors. Hence
                               
                              
                              
                              
                              
                                 
                                    
                                       
                                          |  
                                             
                                           | 
                                          σ/σa <1,0 
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          λ/λa <1,0 
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          δ/δa<1,0 
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              where  
                              
                              
                              
                                 
                                    
                                       | 
                                                σ
                                                
                                                
                                              | 
                                       = | 
                                       is the actual
                                             stress value | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                λ
                                                
                                                
                                              | 
                                       = | 
                                       is the actual
                                             buckling factor of safety achieved | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                δ
                                                
                                                
                                              | 
                                       = | 
                                       is the actual
                                             deflection | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                            
                           
                           
                           
                              
                              
                              4.2.3 The
                                 allowable stresses are to be derived using the following formulae:
                               
                              
                              
                              
                                 - Direct or bending allowable stress
 σa = f
                                    1 
                                    f
                                    hts σo N/mm2
                                    
                                  
                                 - Shear allowable stress
 τa = f
                                    1 
                                    f
                                    hts τo N/mm2
                                    
                                  
                               
                              
                              
                              
                              where 
                              
                              
                              
                              
                                 f
                                 1 is taken from Table 5.3.2 Allowable stress factors f
                                    1 in Pt 6, Ch 5, as
                                 specified below:
                                 
                               
                              
                              
                              
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             σ
                                             o
                                             
                                                
                                                
                                              | 
                                       = | 
                                       is the minimum yield stress | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             τ
                                             o
                                             
                                                
                                                
                                              | 
                                       = | 
                                       is the minimum shear yield stress. | 
                                     
                                  
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                           
                           
                           
                              
                              
                              4.2.6 The
                                 assessment of scantling requirements to satisfy the impact or slamming
                                 pressure loads for plating and stiffening is given in Vol  1, Pt  6, Ch  3,  14 Strengthening for bottom slamming and Vol  1, Pt  6, Ch  3,  15 Strengthening for wave impact loads above waterline.
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.4.1 Design criteria for
                                       plating
                                 
                                    
                                       
                                          Stress N/mm2
                                             
                                             
                                           | 
                                          Description
                                             
                                           | 
                                          Design criteria
                                             
                                           | 
                                          Factor f
                                             1
                                              
                                             See column in Table 5.3.2 Allowable stress factors f
                                                1 in Pt 6, Ch 5 
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Stress criteria
                                             
                                             
                                           | 
                                        
                                       
                                          | σb
                                             
                                             
                                           | 
                                          Bending stress in plate due to lateral pressure,
                                             see
                                             Vol  1, Pt  7, Ch  3,  2.2 Stresses in plating 2.2.2
                                             
                                             
                                           | 
                                           Local stress requirements
                                             
                                           | 
                                          σb
                                             
                                             
                                           | 
                                        
                                       
                                          | σx
                                             
                                             
                                           | 
                                          Longitudinal membrane stress in plate including
                                             the stresses due to stiffener bending, see 
                                             Vol  1, Pt  7, Ch  3,  3.3 Stress determination in primary/secondary systems or Vol  1, Pt  7, Ch  3,  3.4 Stress determination in grillage systems
                                             
                                             
                                           | 
                                          Hull girder bending requirements
                                             
                                           | 
                                          σx
                                             
                                             
                                           | 
                                        
                                       
                                          | σy
                                             
                                             
                                           | 
                                          Transverse (or vertical) membrane stress in
                                             plate, see 
                                             Vol  1, Pt  7, Ch  3,  3 Stress analysis model
                                             
                                             
                                           | 
                                          None
                                             
                                           | 
                                          None
                                             
                                           | 
                                        
                                       
                                          | τxy
                                             
                                             
                                           | 
                                          Shear stress due to global and local loads,
                                             see 
                                             Vol  1, Pt  7, Ch  3,  3 Stress analysis model
                                             
                                             
                                           | 
                                          Hull girder shear requirements
                                             
                                           | 
                                          τxy
                                             
                                             
                                           | 
                                        
                                       
                                          | σvm
                                             
                                             
                                           | 
                                          Combined total equivalent stress in plate,
                                             see 
                                             Vol  1, Pt  7, Ch  3,  3.12 Derivation of total equivalent stress
                                             
                                             
                                           | 
                                          Yield stress criterion
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Buckling criteria
                                             
                                             
                                           | 
                                        
                                       
                                          | σxg, σyg, or
                                             σxv
                                             
                                             
                                           | 
                                          Compressive membrane stress, see 
                                             Vol  1, Pt  7, Ch  3,  3.3 Stress determination in primary/secondary systems or Vol  1, Pt  7, Ch  3,  3.4 Stress determination in grillage systems
                                             
                                             
                                           | 
                                          Uni-axial buckling, see
                                             Vol  1, Pt  6, Ch  2,  3.3 Plate panel buckling requirements
                                             
                                             
                                           | 
                                          λσ
                                             
                                             
                                           | 
                                        
                                       
                                          | τxy
                                             
                                             
                                           | 
                                          Shear stress, see 
                                             Vol  1, Pt  7, Ch  3,  3 Stress analysis model
                                             
                                             
                                           | 
                                          Shear buckling, see
                                             Vol  1, Pt  6, Ch  2,  3.3 Plate panel buckling requirements
                                             
                                             
                                           | 
                                          λτ
                                             
                                             
                                           | 
                                        
                                       
                                          | σx, σy,
                                             τxy
                                             
                                             
                                           | 
                                          Bi-axial and shear stress field, see
                                             Vol  1, Pt  7, Ch  3,  3 Stress analysis model
                                             
                                             
                                           | 
                                          Bi-axial and shear buckling , see
                                             Vol  1, Pt  6, Ch  2,  3.3 Plate panel buckling requirements
                                             
                                             
                                           | 
                                          λσ and λτ
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.4.2 Design criteria for
                                       stiffeners
                                 
                                    
                                       
                                          Stress N/mm2
                                             
                                             
                                           | 
                                          Description
                                             
                                           | 
                                          Design criteria
                                             
                                           | 
                                          Factor f
                                             1
                                              
                                             See column in Table 5.3.2 Allowable stress factors f
                                                1 in Pt 6, Ch 5 
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Stress criteria
                                             
                                             
                                           | 
                                        
                                       
                                          | σsx,t
                                             
                                             
                                           | 
                                          Maximum tensile (+ve) bending
                                             stress in flange of stiffener, see
                                             Vol  1, Pt  7, Ch  3,  3.11 Derivation of total stresses in stiffener flanges
                                             
                                             
                                           | 
                                          Elastic stress criteria
                                             -
                                             
                                           | 
                                          local loads
                                             only
                                             
                                           | 
                                          σx
                                             
                                             
                                           | 
                                        
                                       
                                          | hull girder
                                             and local loads
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          | σsx,c
                                             
                                             
                                           | 
                                           Maximum compressive
                                             (-ve) bending stress in flange of stiffener, see 
                                             Vol  1, Pt  7, Ch  3,  3.11 Derivation of total stresses in stiffener flanges
                                             
                                             
                                           | 
                                          Elastic stress criteria
                                             - 
                                             
                                           | 
                                          local loads
                                             only
                                             
                                           | 
                                          σx
                                             
                                             
                                           | 
                                        
                                       
                                          | hull girder
                                             and local loads
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Buckling criteria
                                             
                                             
                                           | 
                                        
                                       
                                          | σax
                                             
                                             
                                           | 
                                          Overall axial stress, see 
                                             Vol  1, Pt  7, Ch  3,  2.3 Stresses in secondary and primary member stiffeners 2.3.6
                                             
                                             
                                           | 
                                          Buckling control
                                             column, flange, web, torsional, tripping modes of buckling, see
                                             Vol  1, Pt  6, Ch  2,  3.7 Secondary stiffening in direction of compression
                                             
                                             
                                           | 
                                          λσ
                                             
                                             
                                           | 
                                        
                                       
                                          | σsx,c
                                             
                                             
                                           | 
                                          Maximum compressive (-ve) bending stress in
                                             flange of stiffener, see 
                                             Vol  1, Pt  7, Ch  3,  3.11 Derivation of total stresses in stiffener flanges
                                             
                                             
                                           | 
                                          Buckling of flange,
                                             see
                                             Vol  1, Pt  6, Ch  2,  3.7 Secondary stiffening in direction of compression
                                             
                                             
                                           | 
                                          λσ
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Other criteria
                                             
                                             
                                           | 
                                           
                                             
                                           | 
                                           
                                             
                                           | 
                                           
                                             
                                           | 
                                        
                                       
                                          | τs
                                             
                                             
                                           | 
                                          Shear stress in web,
                                             see Tables Table 3.3.2 Stress determination in
                                                longitudinal plating of primary/secondary systems, e.g., decks and longitudinal
                                                bulkheads, Table 3.3.3 Stress determination in transverse
                                                plating of primary/secondary systems, e.g., transverse bulkheads, Table 3.3.4 Stress determination in
                                                longitudinal plating of grillage systems, e.g., decks and longitudinal
                                                bulkheads and Table 3.3.5 Stress determination in transverse
                                                plating of grillage systems, e.g., transverse bulkheads.
                                             
                                             
                                           | 
                                          Shear stress criteria for web area
                                             
                                           | 
                                          τxy
                                             
                                             
                                           | 
                                        
                                       
                                          | δs
                                             
                                             
                                           | 
                                          Deflection of stiffener due to lateral bending,
                                             see
                                             Table 3.3.2 Stress determination in
                                                longitudinal plating of primary/secondary systems, e.g., decks and longitudinal
                                                bulkheads, Table 3.3.3 Stress determination in transverse
                                                plating of primary/secondary systems, e.g., transverse bulkheads, Table 3.3.4 Stress determination in
                                                longitudinal plating of grillage systems, e.g., decks and longitudinal
                                                bulkheads, Table 3.3.5 Stress determination in transverse
                                                plating of grillage systems, e.g., transverse bulkheads.
                                             
                                             
                                           | 
                                          Inertia/deflection
                                             criteria
                                             
                                           | 
                                          
                                             f
                                             δ
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.4.3 Design criteria for stiffened
                                       panels
                                 
                                    
                                       
                                          Stress N/mm2
                                             
                                             
                                           | 
                                          Description
                                             
                                           | 
                                          Design criteria
                                             
                                           | 
                                          Factor f
                                             1
                                              
                                             See column in Table 5.3.2 Allowable stress factors f
                                                1 in Pt 6, Ch 5 
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Buckling criteria
                                             
                                             
                                           | 
                                        
                                       
                                          | σxg, σyg,
                                             or σxv
                                             
                                             
                                           | 
                                          Membrane stress
                                             
                                           | 
                                          Overall panel buckling, see
                                             Vol  1, Pt  6, Ch  2,  3.8 Secondary stiffening perpendicular to direction of compression
                                             
                                             
                                           | 
                                          λσ
                                             
                                             
                                           | 
                                        
                                       
                                          | τxy
                                             
                                             
                                           | 
                                          Shear stress
                                             
                                           | 
                                          Shear buckling of stiffened panels,
                                              see
                                             Vol  1, Pt  6, Ch  2,  3.6 Shear buckling of stiffened panels
                                             
                                             
                                           | 
                                          λτ
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Other criteria
                                             
                                             
                                           | 
                                           
                                             
                                           | 
                                           
                                             
                                           | 
                                        
                                       
                                          | δs
                                             
                                             
                                           | 
                                          Deflection of panel due to lateral bending,
                                             see
                                             Vol  1, Pt  7, Ch  3,  2.3 Stresses in secondary and primary member stiffeners 2.3.4
                                             
                                             
                                           | 
                                          Inertia/deflection criteria
                                             
                                           | 
                                          
                                             f
                                             δ
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.4.4 Design criteria for primary
                                       members
                                 
                                    
                                       
                                          Stress N/mm2
                                             
                                             
                                           | 
                                          Description
                                             
                                           | 
                                          Design criteria
                                             
                                           | 
                                          Factor f
                                             1
                                              
                                             See column in Table 5.3.2 Allowable stress factors f
                                                1 in Pt 6, Ch 5 
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Stress criteria
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Web plating of primary member, see
                                                Vol  1, Pt  7, Ch  3,  3.3 Stress determination in primary/secondary systems or Vol  1, Pt  7, Ch  3,  3.4 Stress determination in grillage systems
                                                
                                             
                                             
                                           | 
                                           
                                             
                                           | 
                                        
                                       
                                          | σb
                                             
                                             
                                           | 
                                          Bending
                                             stress due to lateral pressure
                                             
                                           | 
                                          Local
                                             stress requirements
                                             
                                           | 
                                          σb
                                             
                                             
                                           | 
                                        
                                       
                                          | σx
                                             
                                             
                                           | 
                                          Longitudinal membrane stress
                                             including the stresses due to secondary stiffener bending
                                             
                                           | 
                                          Hull girder bending
                                             requirements
                                             
                                           | 
                                          σx
                                             
                                             
                                           | 
                                        
                                       
                                          | σy
                                              | 
                                          Transverse (or vertical) membrane
                                             stress including the stresses due to secondary stiffener bending
                                             
                                           | 
                                          Local stress requirements
                                             
                                           | 
                                          σy
                                              | 
                                        
                                       
                                          | τxy
                                             
                                             
                                           | 
                                          Shear
                                             stress due to global and local loads
                                             
                                           | 
                                          Shear
                                             stress requirements
                                             
                                           | 
                                          τxy
                                             
                                             
                                           | 
                                        
                                       
                                          | σvm
                                             
                                             
                                           | 
                                          Combined
                                             total equivalent stress
                                             
                                           | 
                                          Yield
                                             stress criterion
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Flanges of primary member, see
                                                Vol  1, Pt  7, Ch  3,  3.2 Stress determination in primary members
                                                
                                             
                                             
                                           | 
                                        
                                       
                                          | σx
                                             
                                             
                                           | 
                                          Maximum
                                             tensile (+ve) bending stress in plate or flange
                                             
                                           | 
                                          Elastic
                                             stress criteria 
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          | σx
                                             
                                             
                                           | 
                                          Maximum compressive (-ve) bending
                                             stress in plate or flange
                                             
                                           | 
                                          Elastic stress criteria 
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          | σvm
                                             
                                             
                                           | 
                                          Combined
                                             total equivalent stress
                                             
                                           | 
                                          Yield stress
                                             criterion
                                             
                                           | 
                                          σvm
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Buckling criteria of primary member
                                             
                                             
                                           | 
                                           
                                             
                                           | 
                                           
                                             
                                           | 
                                        
                                       
                                          | σhg, σyg or σxv
                                             
                                             
                                           | 
                                          Compressive
                                             stress at neutral axis, excluding the stresses due to secondary stiffener
                                             bending
                                             
                                           | 
                                          Buckling of
                                             primary girders, see
                                             Vol  1, Pt  6, Ch  2,  3.9 Buckling of primary members
                                             
                                             
                                           | 
                                          λσ
                                             
                                             
                                           | 
                                        
                                       
                                          | τxy
                                             
                                             
                                           | 
                                          Shear stress in web plating due to
                                             global and local loads
                                             
                                           | 
                                          Shear buckling of girder webs,
                                             see
                                             Vol  1, Pt  6, Ch  2,  3.10 Shear buckling of girder webs
                                             
                                             
                                           | 
                                          λτ
                                             
                                             
                                           | 
                                        
                                       
                                          | σx, σy, τxy
                                             
                                             
                                           | 
                                          Bi-axial
                                             and shear stress field in web plating
                                             
                                           | 
                                          Bi-axial
                                             and shear buckling, see
                                             Vol  1, Pt  6, Ch  2,  3.3 Plate panel buckling requirements
                                             
                                             
                                           | 
                                          λσ and λτ
                                             
                                             
                                           | 
                                        
                                       
                                          | σx
                                             
                                             
                                           | 
                                          Maximum
                                             compressive (-ve) bending stress in plate or flange
                                             
                                           | 
                                          Buckling of
                                             plate flange, see
                                             Vol  1, Pt  6, Ch  2,  3.3 Plate panel buckling requirements or buckling of flange, see
                                             Vol  1, Pt  6, Ch  2,  3.7 Secondary stiffening in direction of compression
                                             
                                             
                                           | 
                                          λσ
                                             
                                             
                                           | 
                                        
                                       
                                          |  
                                             
                                           | 
                                          
                                             Other criteria
                                             
                                             
                                           | 
                                           
                                             
                                           | 
                                           
                                             
                                           | 
                                        
                                       
                                          | τxy
                                             
                                             
                                           | 
                                          Shear
                                             stress of girder web
                                             
                                           | 
                                          Shear
                                             stress criteria for web area
                                             
                                           | 
                                          τxy
                                             
                                             
                                           | 
                                        
                                       
                                          | δs
                                             
                                             
                                           | 
                                          Deflection
                                             of girder due to lateral bending, see
                                             Vol  1, Pt  7, Ch  3,  2.3 Stresses in secondary and primary member stiffeners 2.3.4
                                             
                                             
                                           | 
                                          Inertia/deflection criteria
                                             
                                           | 
                                          
                                             f
                                             δ
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        4.3 Presentation of results
                        
                        
                        
                        
                           
                           
                              
                              
                              4.3.1 It is
                                 recommended that the capability of the structure is represented by
                                 one of the following methods:
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
 Load utilisation
                                       factor, LUF, derived as follows: 
                                     
                                    
                                    
                                    
                                    
                                    
                                    e.g. the stress LUF = 
                                       
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
Adequacy parameter,
                                       AP, defined as follows:
                                     
                                    
                                    
                                    
                                    
                                    
                                    where 
                                    
                                    
                                    
                                    LUF is given above. 
                                    
                                    
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              4.3.2 
                                 Table 3.4.5 Adequacy parameter (AP) shows a comparison of
                                 the adequacy parameter with the load utilisation factor.
                                 
                               
                              
                              
                              
                              
                              
                                 Table 3.4.5 Adequacy parameter (AP)
                                 
                                    
                                       
                                          | LUF
                                             
                                           | 
                                          AP
                                             
                                           | 
                                        
                                       
                                          | 0,0
                                             
                                           | 
                                          1,00
                                             
                                           | 
                                        
                                       
                                          | 0,5
                                             
                                           | 
                                          0,33
                                             
                                           | 
                                        
                                       
                                          | 0,8
                                             
                                           | 
                                          0,111
                                             
                                           | 
                                        
                                       
                                          | 1,0
                                             
                                           | 
                                          0,00
                                             
                                           | 
                                        
                                       
                                          | 1,2
                                             
                                           | 
                                          –0,091
                                             
                                           | 
                                        
                                       
                                          | 1,5
                                             
                                           | 
                                          –0,20
                                             
                                           | 
                                        
                                       
                                          | 2,0
                                             
                                           | 
                                          –0,33
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                         
                        
                        
                      
                     
                   
                
             |