Page 36 - Pipelines and Risers
P. 36

10                                                                Chapter I

               Longitudinal Stress


            The longitudinal stress (a,) is the axial stress experienced by the pipe wall, and consists of
            stresses due to:

            -  Bendingstress  (011,)
            -  Hoopstress  (ob)
            -  Thermal stress (03
            -  End cap force induced stress (03


            The components of each are illustrated in Figure 1.4.


            The longitudinal stress can be determined using the equation:
                              +
                                  +
                   =
                 6, 0.30, + 6,, b,, 6,
            It should be  ensured that sign  conventions are utilized when  employing this equation (Le.
            Tensile stress is positive).


            0  Equivalent stress


            The  combined stress is  determined differently depending on  the  coddstandards utilized.
            However, the equivalent stress ( 0,) can usually be expressed as:
                          +
                        2
                             2
                 0, = do/# 6, - 0*01 + 32,2                                    (1.2)
            where:
                 oh  =hoopstress
                     = longitudinal stress
                 zlh  = tangential shear stress


            The components  of each are illustrated in Figure 1.4.

            1.4.3  Span Analysis
            Over a rough  seabed or on  a  seabed subject to  scour, pipeline spanning can  occur when
            contact between the pipeline and seabed is lost over an appreciable distance (see Figure 1.4).
            In such circumstances it is normal code requirements that the line is investigated for:


               Excessive yielding;
               Fatigue;
   31   32   33   34   35   36   37   38   39   40   41