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8.2 Fatigue and Life Prediction                           151



                                      Stress



                                                                            a

                                           max
                                                                          m
                                                          min
                                                                                   Cycles

                                            The  stress  variation  behavior  as  shown  in  the  figure
                                 creates fatigue leading structural failure.  Life of a structural part or
                                 machine component is usually predicted by using the S-N curve of
                                 the test specimen as shown in the figure.

                                      Stress
                                                  S-N curve

                                       e

                                                                     Endurance limit
                                      S e


                                                                                   Cycles
                                                N e

                                            If  the  computed  effective  stress    is  less  than  the
                                                                             e
                                 endurance limit stress S , the structural part or machine component
                                                      e
                                 is safe.  In the opposite way, if the computed effective stress   is
                                                                                           e
                                 larger  than  the  endurance  limit  stress  S ,  we can determine the
                                                                       e
                                 number of cycles before the structural part or machine component
                                 will fail.
                                            The criteria to estimate that a structural part or machine
                                 component may fail are suggested by: (a) Soderberg, (b) Goodman,
                                 and (c) Gerber, as follows.
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