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28                                                                Chupter 2


          where:
              au  = material strength factor
              ym  = material resistance factor
              ySc  = safety class factor
              vinc  = incidental to design pressure ratio

          2.3.3  Hoop Stress Criterion of ABS (2000)
          As the requirement for pressure containment, the allowable hoop stress Fh to be used in design
          calculations is to be determined by the following equation:
               Fh =)).SMYS*k,                                                (2.5)
          where:
              q    = design factor (see Table 2.2, originally from B31.4 and B31.8)
               SMYS = Specified Minimum Yield Strength of the material
              kT   = temperature derating factor (when temperatures is above 5OOC).

          Table 2.2 Design Factors q for Pipelines, Platform Piping, and Risers (originally from ASME B31.4 and
          B31.8).

                                  Hoop stress   Longitudinal   Equivalent
                                                stress          stress
                 Oil & Gas pipelines,   0.72                   0.90
                 Liquid hydrocarbon
                 uiuing and risers             I Oe80
                 Gas risers on non-   0.60      0.80           0.90
                 production platform
                 Gas piping, Gas risers   0.50   0.80          0.90
                 on production platform

          The hoop stress fh in a pipe can be determined by the equation:
               f,, = (5 - p,   - W(2t)
          where:
              fh   = hoop stress
              Pi   = internal or external design pressure
              P,  = external design pressure
              D    = nominal outside diameter of pipe
              t    = minimum pipe wall thickness

          For  relatively  thick-walled  pipes,  where  the  ratio  D/t  is  equal  to or  less  than  10, a  more
          accurate hoop stress calculation methods, resulting in a lower stress, may be used.
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