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Appendix C/363







                                                    Appendix C
                                                    Pipe Strength

                                                     Determination














             Some equations and design concepts are presented in this sec-   manent deformation of the pipe. After permanent deformation,
             tion to give the evaluator who  is not  already familiar with   the pipe may no longer be suitable for the  service intended.
             pipeline design methods a feel for  some of the commonly   Permanent deformation occurs through failure modes such as
             used formulas. This section is not intended to replace a design   bending, buckling, crushing, rupture, bulging, and tearing. In
             manual or design methodology. Used with the corresponding   engineering terms, these relate to stresses of shear, compres-
             risk evaluation sections, this appendix can assist the nonengi-   sion, torsion, and tension. These stresses are further defined by
             neer in  understanding design aspects of the pipeline being   the directions in which they act; axial, radial, circumferential,
             examined.                                  tangential, hoop, and longitudinal  are common terms used to
                                                        refer to stress direction. Some ofthese stress direction terms are
                                                        used interchangeably.
             Stresses                                    Pipe  materials  have  different properties.  Ductility, tensile
                                                        strength, impact toughness, and a host of other material proper-
             Minimum pipeline wall thicknesses are determined based on   ties will determine the weakest aspect of the material. If the
             the  amount  of  stress  that  the  pipe  must  withstand.  Design   pipe is considered to be flexible (will deflect at least 2% with-
             stresses are determined by careful consideration of all loadings   out excessive stress), the failure mode will likely be different
             to which the pipeline will be subjected. Loadings are not lim-   from a rigid pipe. The highest level of stress directed in the pipe
             ited to physical weights such as soil and traffic over the line. A   material’s weakest direction will normally be the critical failure
             typical analysis of anticipated loads for a buriedpipeline would   mode. The exception may be buckling, which is more depend-
             include allowances for:                    ent on the geometry of the pipe and the forces applied.
                                                         Another way to say this is that the critical failure mode for
              Internal pressure                         each loading will be the one that fails under the lowest stress
              Surge pressures                           level (and, hence, requires the greatest wall thickness to resist
               Soil loadings (including soil movements)   the failure). Overall then, the wall thickness will be determined
              Traffic loadings.                         based  on the critical failure mode  of the worst  case loading
                                                        scenario.
             Additional criteria are considered  for special installation cir-
             cumstances such as drilled crossing and overhead spans. These
             criteria include                           Internal loadings
             0  Bending  Stresses  (Overhead  crossings  and  Drilled   Internal pressure  is often the governing design consideration
              Crossings)                                for pressurized pipelines. The magnitude of the internal pres-
              Tensile Loads (Drilled Crossings)         sure along with the pipe characteristics determines the magni-
               Bouyancy.                                tude of stress in the pipe wall (due to internal pressure alone),
                                                        which  in  turn  determines the  required  wall  thickness.  This
             For each of these loadings, failure must be defined and all fail-   stress (or the associated wall thickness) is calculated using an
             ure modes must be identified.  Failure is often defined as per-   equation called the Barlow formula:
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