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334                                                  Part III Fatigue and Fracture

                 structures. The latest developments in the research on S-N curves may be found from Maddox
                 (2001).
                 In  the  API Rp 24 the  X' curve is used  for  welded  connections without profile  control,
                 thickness correction applies if wall-thickness is greater than 0.625 inches (16 m). In  API
                 W2A, thickness correction exponent k  is taken as 0.25.  The X  curve is used  for welded
                 connections with profile control, and wall-thickness correction factor applies when the wall-
                 thickness is greater than  1 inch (25 mm).  However, after thickness correction, the X-curve
                 shall not be reduced to be lower than the X' curve.
                 MI S-N curves are single (not bi-linear) and have an endurance limit. The endurance limit for
                 the X curve and X' curve is 35 MPa and 23 MPa respectively. K and m for the X curve are
                 1.15E15 and 4.38 respectively. For the X' curve, K and m are 2.50E13 and 3.74 respectively.
                 The  classification societies  define  fatigue criteria  in  their  Rules  and  guidancelguidelines.
                 IACS requirements for fatigue assessment have been developed by unifying the requirements
                 of individual classification societies for ship structural assessment. The fatigue S- curves for
                 ship structures are mainly based on UK Den basic S-N curves and IIW S-N curves.
                 The IIW S-N curves assume that the slope of a1 S-N curves is m=3 and the change in slope (m-
                 5)  occurs  for  N=5x10E6 cycles  (Hobbacher,  A.  (1996). These  S-N curves  are based  on
                 nominal stress range and correspond to non-corrosive conditions, are given for mean minus
                 two standard deviations. Their fatigue class is characterized by the fatigue strength at 2xIOE6
                 cycles, e.g. the stress range corresponding to 2xlOE6 cycles (FAT) are 160,140,125,112,100,
                 90,80,71,63,56,50,45,40,36,  see Table 17.1.
                 BV (1998) proposed corrections of the design S-N curves to account for the various factors
                 such as:
                    Influence of static and residual stresses: Tensile residual stress of the magnitude of yield
                    stress will reduce fatigue life, and in such cases the maximum stress should be assumed to
                    be yield stress irrespective of the amount of actual maximum stress. Post-weld treatment
                    may improve the weld geometry and fatigue capacity.
                    Influence  of  compressive  stresses:  To  account  for  the  less  damaging  effect  of
                    compressive stresses while the stress range is greater than the yield stress, the calculated
                    local stress range S,,,may   be corrected using the British Standard 5400: defining stress
                    range as:

                     S = O, +0.6(Sl,,,  -0,) for  o,, S SlOeal 5 20,                 (1 7.6)
                     S = 0.8Sl,,,  for   > 20,                                       (1 7.7)

                 . Influence of plate thickness
                    Influence of the material: the fatigue strength of welded joints is nearly independent on
                    the material properties such as material grades. However, for machined plates the effect of
                    yield strength is large.
                    Influence of the environment
                    Workmaship: S-N curves have  been  derived  for  standard workmanship  and  welding
                    procedures.  In  some instances, the  effect of  imperfection and misalignment should be
                    taking into account when determining the hot spot stresses.
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