3.1 General 
                     
                     
                     
                     
                     3.1.1 Application 
                     
                     
                     
                     
                     The requirements of this sub-section cover the strengthening requirements
                        for local impact loads that may occur in the forward structure. The impact loads to be
                        applied in [3.2] and [3.3] are described in Ch 4, Sec 5, [3]. 
                     
                     
                     
                     
                     3.1.2 General scantling requirements 
                     
                     
                     
                     
                     The requirements of [3.2] and [3.3] are to be applied in addition to
                        applicable scantling requirements in Ch 6. Local scantling increases due to impact loads
                        are to be made with due consideration given to details and avoidance of hard spots,
                        notches and other harmful stress concentrations.
                     
                     
                     
                     
                     3.2 Bottom slamming 
                     
                     
                     
                     
                     3.2.1 Application 
                     
                     
                     
                     
                     Where the minimum draughts forward, TF-e or
                        TF-f, as specified in Ch 4, Sec 5, [3.2.1], are less than
                        0.045 L, the bottom forward is to be additionally strengthened to resist bottom
                        slamming pressures. 
                     
                     
                     
                     
                     The draughts for which the bottom has been strengthened are to be indicated
                        on the shell expansion plan and loading guidance information, as required in Ch 1, Sec
                        5. 
                     
                     
                     
                     
                     The load calculation point of the primary supporting members is specified in
                        Ch 3, Sec 7, [4]. 
                     
                     
                     
                     
                     3.2.2 Extent of strengthening 
                     
                     
                     
                     
                     The strengthening is to extend forward of 0.3 L from the FP over the
                        flat of bottom and adjacent plating with attached stiffeners up to a height of 500 mm
                        above the baseline, see Figure 2.
                     
                     
                     
                     
                     Figure 2 : Extent of strengthening against bottom slamming
                     
                     
                     
                     
                     Outside the region strengthened to resist bottom slamming the scantlings are
                        to be tapered to maintain continuity of longitudinal and/or transverse strength. 
                     
                     
                     
                     
                     3.2.3 Design to resist bottom slamming loads 
                     
                     
                     
                     
                     The design of end connections of stiffeners in the bottom slamming region is
                        to provide end fixity, either by making the stiffeners continuous through supports or by
                        providing end brackets complying with Ch 3, Sec 6, [3.2]. Where it is not practical to
                        comply with this requirement, the net plastic section modulus,
                        Zpl-alt, in cm3, for alternative end fixity arrangements is
                        not to be less than:
                     
                     
                     
                     
                     
                     
                     
                     
                     where:
                     
                     
                     
                     Zpl
                           : Net plastic section modulus, in cm3, as required by [3.2.5]. Scantlings
                        and arrangements of primary supporting members, including bulkheads in way of
                        stiffeners, are to comply with [3.2.7]. 
                     
                     
                     
                     
                     3.2.4 Shell plating 
                     
                     
                     
                     
                     The net thickness of the hull envelope plating, t, in mm, except for
                        the transversely stiffened bilge plating within the cylindrical part of the ship, is not
                        to be less than:
                     
                     
                     
                     
                     
                     
                     
                     
                     where:
                     
                     
                     
                     Cd : Plate capacity correction coefficient taken as: 
                        
                        
                        
                      
                     
                     
                     
                     The transversely stiffened bilge plating within the cylindrical part of the ship is to
                        comply with the requirement given in Pt 1, Ch 6, Sec 4, [2.2].
                     
                     
                     
                     
                     Ca : Permissible bending stress coefficient taken as: 
                        
                           - Ca = 1.0 for acceptance criteria set AC-I.
                           
 
                        
                        
                        
                      
                     
                     
                     
                     3.2.5 Shell stiffeners 
                     
                     
                     
                     
                     The shell stiffeners within the strengthening area defined in [3.2.2] are to
                        comply with the following criteria: 
                        
                           - The net plastic section modulus, Zpl, in
                              cm3, is not to be less than:
                              
                              
                              
                              
where:
                              
                              
                              Cs : Permissible
                                 bending stress coefficient taken as:
                              
                              
                              
                                 - Cs = 0.9 for acceptance criteria set
                                    AC-I.
                                 
 
                              
                              
                            
                           - The net web thickness, tw, in mm, is not to be
                              less than:
                              
                              
                              
                              
where:
                              
                              
                              Ct : Permissible
                                 shear stress coefficient taken as:
                              
                              
                              
                                 - Ct = 1.0 for acceptance criteria set
                                    AC-I.
                                 
 
                              
                              
                            
                           - The slenderness ratio is to comply with Ch 8, Sec 2.
 
                        
                        
                      
                     
                     
                     
                     3.2.6 Bottom slamming load area for primary supporting members 
                     
                     
                     
                     
                     The scantlings of primary supporting members according to [3.2.7] are based
                        on the application of the slamming pressure defined in Ch 4, Sec 5, [3.2] to an
                        idealised slamming load area of hull envelope plating, ASL, in m2,
                        given by:
                     
                     
                     
                     
                     
                     
                     
                     
                     3.2.7 Primary supporting members 
                     
                     
                     
                     
                     The size and number of openings in web plating of the floors and girders is
                        to be minimised considering the required shear area as given in a): 
                        
                           - Net shear area
                              
                              
The net shear area,
                                 Ashr-n50, in cm2, of each primary
                                 supporting member web at any position along its span is not to be less
                                 than:
                              
                              
                              
                              
                              
                              
                              QSL : The greatest shear force
                                 due to slamming for the position being considered, in kN, based on the
                                 application of a patch load, FSL to the most onerous location, as
                                 determined in accordance with b) or c).
                              
                              
                              
                              Ct : Permissible shear stress coefficient taken
                                 as:
                                 
                                    - Ct = 0.9 for acceptance criteria set
                                       AC-I.
                                    
 
                                 
                                 
                               
                              
                            
                           - Simplified calculation of slamming shear force 
                              
                              
For
                                 simple arrangements of primary supporting members, where the grillage effect
                                 may be ignored, the shear force, QSL, in kN, is given
                                 by:
                              
                              
                              
                              
                              
                              
                              where:
                              
                              
                              fpt :
                                 Correction factor for the proportion of patch load acting on a single
                                 primary supporting member, taken as
                                 
                                 
                               
                              
                              
                              fSL : Patch load modification
                                 factor taken as:
                              
                              
                              
                              
                              
                              fdist : Factor for the greatest shear
                                 force distribution along the span, according to Figure 3. 
                              
                              
                              
                              FSL : Patch load, in kN, taken as:
                                 
                                 
                               
                              
                              
                              ℓ
SL : Extent of slamming load
                                 area along the span, in m, taken as:
                                 
                                    
 but not to be greater than 0.5
                                       ℓshr.
                                     
                                 
                                 
                               
                              
                              
                              bSL : Breadth of impact area
                                 supported by primary supporting member, in m, taken as:
                                 
                                    
 but not to be greater than S 
                                 
                                 
                               
                              
                              
                              ASL : Surface defined in
                                 [3.2.6].
                              
                              
                              
                              Figure 3 : Distribution of
                                    fdist along the span of simple primary supporting
                                    members
                              
 
                           - Direct calculation method for slamming shear force 
                              
                              
For complex arrangements of primary supporting members, the greatest shear
                                 force, QSL, at any location along the span of each primary
                                 supporting member is to be derived by direct calculation in accordance with
                                 Table 1.
                              
                              
                              
                            
                           - Web thickness of primary supporting member 
                              
                              
The net
                                 web thickness, 
tw, in mm, of primary supporting members
                                 adjacent to the shell is not to be less than:
                                 
                                 
                               
                              
                              
                              where:
                              
                              
                              sW :
                                 Plate breadth, in mm, taken as the spacing between the web
                                 stiffening.
                              
                              
                            
                        
                        
                        
                      
                     
                     
                     
                     
                        Table 1 : Direct calculation
                              methods for derivation of QSL
                        
                           
                              
                                 | Type of analysis
                                    
                                  | 
                                 Model extent
                                    
                                  | 
                                 Assumed end fixity of floors
                                    
                                  | 
                              
                           
                           
                              
                                 | 
                                    
                                    
                                     Beam theory 
                                    
                                    
                                    
                                  | 
                                 Overall span of member between effective
                                    bending supports.
                                    
                                  | 
                                 
                                    
                                    
                                     Fixed at ends 
                                    
                                    
                                    
                                  | 
                              
                              
                                 | 
                                    
                                    
                                     Double bottom grillage 
                                    
                                    
                                    
                                  | 
                                 
                                    
                                    
                                     Longitudinal extent to be one cargo tank length. 
                                    
                                    
                                    
                                    Transverse extent to be between inner hopper knuckle and
                                       centreline.
                                     
                                    
                                    
                                    
                                  | 
                                 
                                    
                                    
                                       
                                    
                                    
                                    
                                    Floors and girders to be fixed at boundaries of the
                                       model.
                                     
                                    
                                    
                                    
                                  | 
                              
                              
                                 | 
                                    
                                    
                                     Note 1: The envelope of greatest shear force along each
                                       primary supporting member is to be derived by applying the load
                                       patch on a square area as defined in [3.2.6], to a number of
                                       locations along the span.
                                     
                                    
                                    
                                    
                                    Note 2: A more extensive model in length and breadth can
                                       be considered.
                                     
                                    
                                    
                                    
                                  | 
                              
                           
                        
                        
                      
                     
                     
                     
                     3.3 Bow impact 
                     
                     
                     
                     
                     3.3.1 Application 
                     
                     
                     
                     
                     The side structure in the ship forward area is to be strengthened against bow
                        impact pressures. The strengthening is to extend forward of 0.1 L from the FP and
                        vertically above the minimum design ballast draught, TBAL, defined in
                        Ch 1, Sec 4, [3.1.5] and forecastle deck if any. See Figure 4.
                     
                     
                     
                     
                     Figure 4 : Extent of strengthening against bow impact
                     
                     
                     
                     
                     Outside the strengthening area the scantlings are to be tapered to maintain
                        continuity of longitudinal and/or transverse strength. 
                     
                     
                     
                     
                     3.3.2 Design to resist bow impact loads 
                        
                           - In the bow impact strengthening area, longitudinal framing is to be
                              carried as far forward as practicable.
                              
                              
 The design of end
                                 connections of stiffeners in the bow impact region are to ensure end fixity,
                                 either by making the stiffeners continuous through supports or by providing
                                 end brackets complying with Ch 3, Sec 6, [3.2]. Where it is not practical to
                                 comply with this requirement, the net plastic section modulus,
                                 
Zpl-alt, in cm
3, for alternative end
                                 fixity arrangements is not to be less than:
                                 
                                 
                               
                              
                              
                              where:
                              
                              
                              Zpl
                                    : Effective net plastic section modulus, in cm3, required by
                                 [3.3.4].
                              
                              
                            
                           - Scantlings and arrangements of primary supporting members,
                              including decks and bulkheads, in way of the stiffeners, are to comply with
                              [3.3.6]. In areas of the greatest bow impact load, the web stiffeners arranged
                              perpendicular to the hull envelope plating and the double sided lug connections
                              are to be provided. The main stiffening direction of decks and bulkheads
                              supporting shell framing is to be arranged parallel to the span direction of the
                              supported shell frames, to protect against buckling.
                           
 
                        
                        
                      
                     
                     
                     
                     3.3.3 Side shell plating 
                     
                     
                     
                     
                     The net thickness of the side shell plating, t, in mm is not to be
                        less than:
                     
                     
                     
                     
                     
                     
                     
                     
                     where: 
                     
                     
                     
                     Ca : Permissible bending stress coefficient taken as:
                        
                           - Ca = 1.0 for acceptance criteria set AC-I.
                           
 
                        
                        
                      
                     
                     
                     
                     3.3.4 Side shell stiffeners 
                     
                     
                     
                     
                     The side shell stiffeners within the strengthening area defined in [3.3.1]
                        are to comply with the following criteria:
                        
                           - The effective net plastic section modulus, Zpl,
                              in cm3 in association with the effective plating to which it is
                              attached, is not to be less than:
                              
                              

                              
                              
                              where:
                              
                              
                              Cs :
                                 Permissible bending stress coefficient taken as: 
                                 
                                    - Cs = 0.9 for acceptance criteria set
                                       AC-I.
                                    
 
                                 
                                 
                               
                              
                            
                           - The net web thickness, tw, in mm, is not to be
                              less than:
                              
                              

                              
                              
                              where: 
                              
                              
                              dshr : Effective web depth of stiffener,
                                 in mm, as defined in Ch 3, Sec 7, [1.4.3]. 
                              
                              
                              
                              Ct : Permissible shear stress coefficient taken
                                 as: 
                                 
                                    - Ct = 1.0 for acceptance criteria set
                                       AC-I.
                                    
 
                                 
                                 
                               
                              
                            
                           -  The slenderness ratio is to comply with Ch 8, Sec 2.
 
                        
                        
                      
                     
                     
                     
                     3.3.5 Bow impact load area for primary supporting members
                     
                     
                     
                     
                     The scantlings of primary supporting members according to [3.3.6] are based
                        on the application of the bow impact pressure, as defined in Ch 4, Sec 5, [3.3.1], to an
                        idealised bow impact load area of hull envelope plating, ABI, in
                        m2, is given by:
                     
                     
                     
                     
                     
                     
                     
                     
                     3.3.6 Primary supporting members 
                     
                     
                     
                     
                        - The section modulus of the primary supporting member is to apply along
                           the bending span clear of end brackets and cross sectional areas of the primary
                           supporting member are to be applied at the ends/supports and may be gradually
                           reduced along the span and clear of the ends/supports following the distribution of
                           fdist indicated in Figure 3.
                        
 
                        - Primary supporting members in the bow impact strengthening area are to
                           be configured to provide effective continuity of strength and the avoidance of hard
                           spots. 
                        
 
                        - End brackets of primary supporting members are to be suitably stiffened
                           along their edge. Consideration is to be given to the design of bracket toes to
                           minimise abrupt changes of cross section. 
                        
 
                        - Tripping arrangements are to comply with Ch 8, Sec 2, [5.1.1]. In
                           addition, tripping brackets are to be fitted at the toes of end brackets and at
                           locations where the primary supporting member flange is knuckled or curved. 
                        
 
                        - The net section modulus of each primary supporting member,
                              Zn50, in cm3, is not to be less than:
                           
                           

                           
                           
                           where: 
                           
                           
                           fbdg-pt
                              : Correction factor for the bending moment at the ends and considering the patch
                              load taken as:
                              
                              
                            
                           
                           
                           fBI
                                 : Patch load modification factor taken as:
                              
                              
                            
                           
                           
                           ℓ
BI : Extent of bow impact load area,
                              in m, along the span: 
                              
                                 
 but not to be taken as greater than
                                    ℓbdg.
                                  
                              
                              
                            
                           
                           
                           bBI : Breadth of impact load area, in
                              m, supported by the primary supporting member, to be taken as the spacing
                              between primary supporting members, S, as defined in Ch 1, Sec 4, Table 5, but
                              not to be taken as greater than ℓBI. 
                           
                           
                           
                           ABI : Bow impact load area, in m2, as
                              defined in [3.3.5]. 
                           
                           
                           
                           fbdg : Bending moment
                              factor taken as:
                              
                                 - fbdg = 12 for primary supporting members
                                    with end fixed continuous flange or where brackets at both ends are
                                    fitted in accordance with Ch 3, Sec 6, [4.4].
                                 
 
                              
                              
                            
                           
                           
                           Cs : Permissible bending stress
                              coefficient taken as:
                              
                                 - Cs = 0.8 for acceptance criteria set
                                    AC-I.
                                 
 
                              
                              
                            
                           
                         
                        - The net shear area of the web, Ashr-n50, in
                           cm2, of each primary supporting member at the support/toe of end
                           brackets is not to be less than:
                           
                           

                           
                           
                           where:
                           
                           
                           fPL :
                              Patch load modification factor taken as:
                              
                              
                            
                           
                           
                           ℓ
BI : Extent of bow impact load area,
                              in m, along the span taken as,
                              
                                 
 but not greater than ℓshr.
                                  
                              
                              
                            
                           
                           
                           Ct : Permissible shear stress
                              coefficient taken as:
                              
                                 - Ct = 0.75 for acceptance criteria set
                                    AC-I.
                                 
 
                              
                              
                            
                           
                         
                        - The net web thickness of each primary supporting member,
                           tw, in mm including decks/bulkheads in way of the side
                           shell is not to be less than:
                           
                           

                           
                           
                           where: 
                           
                           
                           ϕw :
                              Angle, in deg, between the primary supporting member web and the shell plate,
                              see Figure 5. 
                           
                           
                           
                           σcr : Critical buckling
                              stress in compression of the web of the primary supporting member or
                              deck/bulkhead panel in way of the applied load given by Ch 8, Sec 5, [2.2.3], in
                              N/mm2. In the calculation, both σx and σy
                              given in Ch 8, Sec 5, [2.2.3] are to be considered and UP-B is to be
                              applied.
                           
                           
                           
                           Figure 5 : Angle between shell primary member and
                                 shell plate
                           