Section 
                     2 Structural idealization for pontoons
                  
                  
                  
                  
                  
                  
                  
                     
                        
                         
                        2.1 Geometric properties of section
                        
                        
                        
                        
                           
                           
                              
                              
                              2.1.1 The
                                 symbols used in this sub-Section are defined as follows:
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             b
                                              | 
                                       = | 
                                       the
                                             actual width, in metres, of the load-bearing plating, i.e. one-half
                                             of the sum of spacings between parallel adjacent members or equivalent
                                             supports | 
                                     
                                  
                               
                              
                              
                              
                              
                              
                              
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             t
                                             p
                                              | 
                                       = | 
                                       the thickness of the attached plating in mm. Where this varies,
                                             the mean thickness over the appropriate span is to be used | 
                                     
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              2.1.2 The
                                 effective geometric properties of rolled or built sections may be
                                 calculated directly from the dimensions of the section and associated
                                 effective area of attached plating. Where the web of the section is
                                 not normal to the attached plating, and the angle exceeds 20°,
                                 the properties of the section are to be determined about an axis parallel
                                 to the attached plating.
                               
                              
                              
                              
                              
                              
                                 Table 3.2.1 Section geometry factor, f
                                 
                                    
                                       
                                          | 
                                             
                                             
                                             
                                             
                                           | 
                                          
                                             f
                                             
                                             
                                           | 
                                          
                                             
                                             
                                             
                                             
                                           | 
                                          
                                             f
                                             
                                             
                                           | 
                                        
                                       
                                          | 0,5
                                             
                                           | 
                                          0,19
                                             
                                           | 
                                          3,5
                                             
                                           | 
                                          0,69
                                             
                                           | 
                                        
                                       
                                          | 1,0
                                             
                                           | 
                                          0,30
                                             
                                           | 
                                          4,0
                                             
                                           | 
                                          0,76
                                             
                                           | 
                                        
                                       
                                          | 1,5
                                             
                                           | 
                                          0,39
                                             
                                           | 
                                          4,5
                                             
                                           | 
                                          0,82
                                             
                                           | 
                                        
                                       
                                          | 2,0
                                             
                                           | 
                                          0,48
                                             
                                           | 
                                          5,0
                                             
                                           | 
                                          0,88
                                             
                                           | 
                                        
                                       
                                          | 2,5
                                             
                                           | 
                                          0,55
                                             
                                           | 
                                          5,5
                                             
                                           | 
                                          0,94
                                             
                                           | 
                                        
                                       
                                          | 3,0
                                             
                                           | 
                                          0,62
                                             
                                           | 
                                          6 and above
                                             
                                           | 
                                          1,00
                                             
                                           | 
                                        
                                       
                                          
                                             
                                             
                                                
                                                
                                                Note Intermediate values to be obtained by linear
                                                   interpolation.
                                                 
                                                
                                                
                                              
                                             
                                             
                                             
                                           | 
                                        
                                    
                                  
                                 
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              2.1.3 The
                                 geometric properties of rolled or built stiffener sections and of
                                 swedges are to be calculated in association with the effective area
                                 of attached load bearing plating of thickness t
                                 p and
                                 of width 600 mm or 40t
                                 p whichever is the greater.
                                 In no case, however, is the width of plating to be taken as greater
                                 than either the spacing of the stiffeners or the width of the flat
                                 plating between swedges, whichever is appropriate. The thickness, t
                                 p, is the actual thickness of the attached plating.
                                 Where this varies, the mean thickness over the appropriate span is
                                 to be used.
                                 
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              2.1.4 The
                                 effective section modulus of a corrugation over a spacing p is
                                 to be calculated from the dimensions and, for symmetrical corrugations
                                 may be taken as:
                                 
                               
                              
                              
                              
                              
                              
                              where d
                                 w, b, t
                                 p, c and t
                                 w are
                                 measured in mm, and are as shown in Figure 3.2.1 Corrugated section The value of b is to be taken not greater
                                 than:
                                 
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             
                                                
                                                
                                              | 
                                       = | 
                                       
                                               for welded corrugations  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             
                                                
                                                
                                              | 
                                       = | 
                                       
                                               for cold formed corrugations  | 
                                     
                                  
                               
                              
                              
                              
                                 
                                    
                                       | 
                                                
                                             
                                                
                                                
                                              | 
                                       = | 
                                       The value of θ
                                             is to be not less than 40°. | 
                                     
                                  
                               
                              
                              
                              
                              The moment of inertia is to be calculated from: 
                              
                              
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.2.1 Corrugated section
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              2.1.5 The
                                 section modulus of a double plate bulkhead over a spacing b may
                                 be calculated as:
                                 
                               
                              
                              
                              
                              
                              
                              where d
                                 w, b, t
                                 p and t
                                 w are measured,
                                 in mm, and are as shown in Figure 3.2.2 Double plate bulkhead section
                                 
                               
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.2.2 Double plate bulkhead section
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              2.1.6 The
                                 effective section modulus of a built section may be taken as:
                               
                              
                              
                              
                              
                              
                                 
                                    where
                                    
                                       | 
                                                
                                             a
                                              | 
                                       = | 
                                       the
                                             area of the face plate of the member, in cm2
                                              | 
                                     
                                    
                                       | 
                                                
                                             d
                                             w
                                              | 
                                       = | 
                                       the depth, in mm, of the web between the inside of the face
                                             plate and the attached plating. Where the member is at right angles
                                             to a line of corrugations, the minimum depth is to be taken | 
                                     
                                    
                                       | 
                                                
                                             t
                                             w
                                              | 
                                       = | 
                                       the thickness of the web of the section, in mm | 
                                     
                                    
                                       | 
                                                
                                             A
                                              | 
                                       = | 
                                       the
                                             area of the attached plating in cm2, see 
                                             Pt  3, Ch  3,  2.1 Geometric properties of section 2.1.7. If the calculated value
                                             of A is less than the face area a, then A is to be taken as equal to a.
                                              | 
                                     
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              2.1.7 The
                                 geometric properties of primary support members (i.e. girders, transverses,
                                 webs, stringers, etc.) are to be calculated in association with an
                                 effective area of attached load bearing plating, A, determined
                                 as follows:
                                 
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
For a member
                                       attached to plane plating:
                                     
                                    
                                    
                                    
                                    
                                    
                                    
                                    where b is as defined in Pt  3, Ch  3,  2.1 Geometric properties of section 2.1.1.
                                       
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
For a member
                                       attached to corrugated plating and parallel to the corrugations (where b is as defined in Pt  3, Ch  3,  2.1 Geometric properties of section 2.1.4, see also 
                                       Figure 3.2.1 Corrugated section):
                                       
                                     
                                    
                                    
                                    
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
For a member
                                       attached to corrugated plating and at right angles to the corrugations:
                                     
                                    
                                    
                                    
                                    
                                       A is to be taken as equivalent to the area of the
                                       face plate of the member.
                                       
                                     
                                    
                                    
                                  
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                  
                     
                        
                         
                        2.2 Determination of span point
                        
                        
                        
                        
                           
                           
                              
                              
                              2.2.1 The
                                 effective length, l
                                 e, of a stiffening member
                                 is generally less than the overall length, l, by an amount
                                 which depends on the design of the end connections. The span points,
                                 between which the value of l
                                 e is measured,
                                 are to be determined as follows:
                                 
                               
                              
                              
                              
                                 - 
                                    
                                    
                                    
For rolled
                                       or built secondary stiffening members:
                                     
                                    
                                    
                                    
                                    The span point is to be taken at the point where the depth of
                                       the end bracket, measured from the face of the secondary stiffening
                                       member is equal to the depth of the member. Where there is no end
                                       bracket the span point is to be measured between primary member webs.
                                       For double skin construction the span may be reduced by the depth
                                       of the primary member web stiffener, see 
                                       Figure 3.2.3 Span points
                                       
                                     
                                    
                                    
                                  
                                 - 
                                    
                                    
                                    
For primary
                                       support members:
                                     
                                    
                                    
                                    
                                    The span point is to be taken at a point distant b
                                       e from the end of the member (see 
                                       Figure 3.2.3 Span points), where:
                                       
                                     
                                    
                                    
                                    
                                    
                                  
                               
                              
                              
                            
                           
                           
                           
                              
                              
                              2.2.2 Where
                                 the stiffener member is inclined to a vertical or horizontal axis
                                 and the inclination exceeds 10°, the span is to be measured along
                                 the member.
                               
                              
                              
                              
                              
                                 
                                  
                                 
                                 Figure 3.2.3 Span points
                               
                              
                              
                            
                           
                           
                           
                           
                              
                              
                              2.2.3 It
                                 is assumed that the ends of stiffening members are substantially fixed
                                 against rotation and displacement. If the arrangement of supporting
                                 structure is such that this condition is not achieved, consideration
                                 will be given to the effective span to be used for the stiffener.
                               
                              
                              
                            
                           
                           
                         
                        
                        
                      
                     
                   
                
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