Page 58 - Pipelines and Risers
P. 58

Wall-thickness and Material Grade Selection                            31



                  = Axial tension in pipe
              '0
              Teff  = Effective tension in pipe

              Tv  = Yield tension of the pipe
                  = Axial stress in the pipe wall


         Rewriting the Eq. 2.12 yields for external overpressure:
              LTefl  = LTa +  APe . A,,  + pi IO.6OSMYS                     (2.13)
                       ~
                          A

         where:
              L T ~effective stress
                 =
              Me = external over pressure


         2.4  Equivalent Stress Criterion
         The equivalent stress criterion based on von Mises equivalent stress CT,, may be defined as:

              LT,  =&:  +o; -ff,(T,  +32f <~,SMYS                           (2.14)
         in  which  qe, is  the  usage  factor,  LT,  is  the  characteristic longitudinal stress,o,  is  the
         characteristic hoop  stress,  and  2, is  the  characteristic tangential shear  stress.  The  Tmca
         yielding criterion is used in some codes.

         ASME B31.8 (1992) specifies a usage factor of 0.90 for both the safety zone and the midline
         zone. However, this criterion is not required in situations where the pipeline experiences a
         predictable  non-cyclic  displacement  of  its  support  (e.g.  fault  movement  or  differential
         subsidence) or pipe sag leads to support contact as long as the consequences of  yielding are
         not detrimental to the structural integrity of the pipeline.

         BS 8010 (1993) requires a usage factor of 0.72 for risers and 0.96 for pipelines for functional
         and  environmental  (or  accidental)  loads  respectively,  and  a  usage  factor  of  1.0  for
         construction or hydrotest loads.

         The equivalent stress equation is as following:

              LT,, =,/LT,? +oh2 -LT,LT,  +321 517, .SMYS(T)                 (2.15)
         where:
                  = the characteristic longitudinal stress
              (T!
                  = the characteristic hoop stress
              CT,
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