Page 15 - Pipelines and Risers
P. 15

XI1                                                            Contents

             3.3   Pipe Capacity under Couple  Load ..........................................................................................................   47
              3.3.1   Combined Pressure and Axial Force  ..............................................................................................   47
              3.3.2   Combined External Pressure and Bending  .....................................................................................   48
             3.4   Pipes under Pressure Axial Force and Bending .....................................................................................   49
              3.4.1   Case 1 -Corroded  Area in Compression  .......................................................................................   49
              3.4.2   The Location of the Fully Plastic Neutral Axis ..............................................................................   51
              3.4.3   The Bending Moment ....................................................................................................................   5 1
             3.5   Finite Element Model .............................................................................................................................   55
              3.5.1   General  ...........................................................................................................................................  55
              3.5.2   Analytical Solution Versus Finite Element Results .......................................................................   56
              3.5.3   Capacity of Pipes Subjected to Single Loads .................................................................................   56
              3.5.4   Capacity of Pipes Subjected to Combined Loads  ...........................................................................  58
             3.6   References  ..............................................................................................................................................   61
           Chapter 4  Limit-state based Strength Design                           63
             4.1   Introduction  ............................................................................................................................................  63
             4.2   Out of Roundness Serviceability Limit ..................................................................................................   64
             4.3   Bursting  ..................................................................................................................................................  65
              4.3.1   Hoop Stress vs . Equivalent Stress Criteria .....................................................................................   65
               4.3.2   Bursting Strength Criteria for Pipeline  ...........................................................................................   65
             4.4   Local Buckling/Collapse  ........................................................................................................................   67
             4.5   Fracture ..................................................................................................................................................  70
               4.5.1   PD6493 Assessment  .......................................................................................................................   70
               4.5.2   Plastic Collapse Assessment  ..........................................................................................................  72
             4.6   Fatigue  .........................................................................................................   ....................................   73
               4.6.1   General  ................................................................................................   ....................................   73
               4.6.2   Fatigue Assessment based on S-N Curves .....................................................................................   74
               4.6.3   Fatigue Assessment based on A&-N Curves ...................................................................................   74
             4.7   Ratcheting ..............................................................................................................................................  75
             4.8   Dynamic Strength Criteria .....................................................................................................................   75
             4.9   Accumulated Plastic Strain ....................................................................................................................   75
             4.10  Strain Concentration at Field Joints Due to Coatings .......................................
             4.1 1  References ..............................................................................................................................................  76
            Chapter 5  Soil and Pipe Interaction                                  79
             5.1   General .............................................................................................................
             5.2   Pipe Penetration in Soil ..   .............................................................................................  19
               5.2.1   Verley and Lund Method ...............................................................................................................  79
               5.2.2   Classical Method  ............................................................................................................................   80
               5.2.3   Buoyancy Method ..........................................................................................................................   81
             5.3   Modeling Friction and Breakout Forces  .................................................................................................   82
               5.3. I   Anisotropic Friction .......................................................................................................................   82
               5.3.2   Breakout Force ...............................................................................................................................   82
             5.4   References  ..............................................................................................................................................  83

            Chapter 6  Hydrodynamics around Pipes                                 85
             6.1   Wave Simulators  ....................................................................................................................................   85
             6.2   Choice of Wave Tkeory .........................................................................................................................   85
             6.3   Mathematical Formulations used in the Wave Simulators .....................................................................   85
               6.3.1   General  ...........................................................................................................................................   85
               6.3.2   2D Regular Long-Crested Waves ..................................................................................................   86
               6.3.3   2D Random Long-Crested Waves  ..................................................................................................   87
             6.4   Steady Currents  ......................................................................................................................................   90
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