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Chapter I7 Fatigue Capaciq                                            343

                  17.4  Examples

                  17.4.1  Example 17.1: Fatigue Damage Calculation
                  Problem:
                  Two plates A and B are doubled sided butt welded, another plate C is welded to plate A by
                  fillet welds, as shown in Fig. 17.6. The thickness of the plate is 20 mm. The plate is subjected
                  to  cyclic  loading  with  a  constant  stress  range  of  S=200  MPa  and  a  total  number  of
                  cyclesn,  = lo5. It is assumed that the maximum misalignment of the weld is 4mm. What is
                  the fatigue damage at these welds?



















                             Figure 17.6  Fatigue of Welded Plates
                 Solution:
                 Misalignment introduces the bending moment in the plates. The corresponding bending stress
                 range at the butt weld is:
                                    e
                                S.t*-
                      s   AM        2  - S.3e
                       b-  w     t2      t
                                 -
                                  6
                 The maximum stress range at butt weld is:
                      SI,,,  = (1 +  :)   s = SCF,,,,  . s = 120M.a


                 S-N curve C should be used for butt weld with m=3.5, log;  = 13.63. This gives the following
                 damage ratio:




                 The local stress range at the fillet weld is:
                              [  (  31
                      SI,,,  =0.5  S+S 1+-   =160MPa
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