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Chapter 27 Fatigue Reliability                                        489

                  27.5  Fatigue Reliability Application - Fatigue Safety Check

                  27.5.1  Target Safety Index for Fatigue
                  The basic design requirement is that the safety index describing the reliability of a component
                  exceeds the minimum allowable, or target, safety index.
                      P 2 Po                                                         (27.30)

                  The value of 00 and the statistics on the design variables are used to derive the expression for
                  the target damage level.
                  For a safety check expression, it is necessary to specify a minimum allowable safety index (or
                  target safety index), PO. The target safety index for each of the categories was chosen to be
                  compatible with the values selected for other similar applications:


                   Table 27.2  Target Safety Index (Mansour, 1997)
                                                                        I  Target Safety Index,
                                              Description                       00



                   Category 1





                   Category 2                                                   2.5
                              and  will  not  result  in  pollution;  repairs  will  be
                              relatively expensive
                              A  significant  fatigue  crack  is  considered  to
                              compromise the integrity of the ship and put the crew
                   Category 3  at  risk  and/or  will  result  in  pollution.  Severe   3.0
                              economic and political consequences will result from
                              significant growth of the crack



                  27.5.2  Partial Safety Factors
                  An  alternative approach to developing probability-based design criteria for the fatigue limit
                  state is to use partial safety factors. Eq. (27.22) may be expressed as

                        N=-  KA                                                      (27.31)
                            BmSem
                  Letting the cycles to failure N equal the service life, Ns; and assuming 2 = 1 .O,  Eq. (27.3 1)
                  may be re-written as

                                                                                     (27.32)
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