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     The  S-N  curves are adopted with  welded joint, and it  is assumed  that  the structure is exposed to
     corrosive effect of sour crude oil for half the ship life.
     The fatigue damage can  be  calculated applying S-N  curves for  cathodic protection and  corrosive
     environment equally.  Sim  lified one-slope S-N curves have been used instead of bilinear curves with
                         P
     change in slope beyond  10  cycles. Considering the load conditions and corrosion effect, the resultant
     fatigue damage ratio leads to




     Each pair of load cases is used to calculate stress range which is defined as the difference of minimum
     and maximum stresses which are induced by minimum and maximum loading conditions, respectively.
     Stress range for damage ratio calculation is defined based on notch stress [Wagner, 19981.

     4.4  Fatigue Analysis of Longitudinal Stirener Connections
     Fatigue  analyses  are  performed  in  the  connections  of  all  longitudinal  stiffeners  except  deck
     longitudinals. The effective length  of beam for calculating local bending is varied  due to the detail
     shape  of  longitudinal  connections.  Therefore,  fatigue  analyses  for  longitudinal  connections  are
     performed  in  typical  web  frame  section,  swash  BHD  and  transverse  BHD  separately.  Fatigue
     analyses for longitudinals at typical web  frame section are performed  in web  h  e  section where
     maximum stress occurs from the result of cargo tank analysis. Fatigue analysis for longitudinals at
     transverse BHD are performed  in fore and aft positions of the trans.  BHD.  FE model of 3-D cargo
     tank analysis is  employed to  obtain  relative deformation that  would  be  used  in  fatigue  damage
     assessment of critical connections of longitudinal. The warping effect due to unsymmetrical section of
     longitudinal stiffener is also considered in the calculation of stress components.
     According to the result of fatigue analysis of  longitudinal connections, fatigue lives of longitudinal
     connections at aft position of transverse BHD are lower than longitudinal connections at fore position
     of transverse BHD due to the larger effective length of longitudinal.
     Longitudinal stiffeners around design draft have most severe fatigue strength because of the maximum
     local bending stress due to external dynamic pressure. It can be found that all longitudinal stiffeners  of
     the subject vessel have sufficient fatigue strength.
     4.5  Fatigue Analysis of Hopper Knuckle Connection
     Fatigue analysis for hopper knuckle connection is performed  at the frame section having maximum
     stress by the result of 3-D cargo tank analysis. Fatigue analysis for this structure is performed in two
     steps.  Global  analysis (3-D  cargo tank analysis for  fatigue analysis)  is  performed  to  get  global
     structural behavior and to get deflections results for the sub-model analysis. And then, the sub-model
     analysis is performed by using the local pressure and the displacements of the 3-D cargo tank model.
                                                          The  sub-model  extends  two
                                                         transverse   floor   spaces
                                                         longitudinally  to  investigate
                                                         the  effect  of  docking bracket
                                                         as shown  in  Fig.  3.  Mesh
                                                         sizes  for  critical  zones  are
                                                         carefully  controlled  to  get
                                                         relevant geometric stress even
                                                         by using t x t fine mesh.




     Figure 3:  Local Model for the Fatigue Analysis of Hopper Knuckle
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