Page 57 - Failure Analysis Case Studies II
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                                                                          - 8.0




                                                                          - 6.0




                                                                          - 4.0
                                                       Dune Sand BackfN


                                                                          - 2.0





                                                                          - 0.0
                                          17.5  4


                                         unit
                                        weight                     cohesion
                                        ~/m3
                                         18.5
                                         16.0
                                         20.0
                        I  Clay Back Fill
                        ___     ~      ~~
                              Fig. 9. FLAC input: (a) grid, (b) system profile and parameters.



            pipe  section (laboratory conditions).  The plot  illustrates  that for any given pipe deflection the
            maximum moment in an unrestrained pipe is greater than the maximum moment in a buried one.
            Including within Fig.  10 the definition of the safety factor (eqn (5)), it is possible to construct a
            safety factor-deflection relation, shown as the curve through the triangular points in the figure. This
            curve can be used to assess which pipe segments are sufficiently safe to be used as a structural shell.
            For example, assuming a required  safety factor of  2,  all pipe  segments which have undergone
            deflections greater than approximately 5 cm would be considered unsuitable. The advantage of this
            approach is its simplicity. Pipe deflection is a simple parameter to measure, whereas moments in the
            pipe section are not.

                                         8.  CONCLUSIONS

             The following conclusions can be drawn from the present investigation into the failure of this
            pipeline:
            (1)  ‘‘Flexible” pipes with rigid liners must be designed with care. Flexible pipe design methodologies
               may  be  applicable,  however,  the  deformation  limitations  of  the  liner  must  be  carefully
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