Page 238 - Buried Pipe Design
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212   Chapter Four

             5000                                             34.5



             4000                                             27.6


           Peak stress (psi)  3000                            13.8 Peak stress (MPa)
                                                              20.7


             2000



             1000                                             6.9



                0                                             0
                10 4           10 5          10 6           10 7
                             Number of cycles to failure
          Figure 4.10 Reproduction of Huck’s peak stress data.





         from other authors. The tests cycled at a rate of 1-cycle per second
         from a base pressure of 58 psi (0.4 MPa) to a range of peak pressures.
         They produced an S-N plot of their findings. Bowman compared his
         results to the tests run by Vinson and Hucks and concluded that all of
         the data were in agreement (when plotted using stress range rather
         than peak stress). Bowman produced the following equation to predict
         the number of cycles to failure.


                                           8
                              N   2.85   10 (  range )  3.35         (4.18)
         where     N   number of cycles to failure
                  range    stress range, Mpa

           Marshall, Brogden, and Shepherd   16  studied the effects of “surge
         and fatigue” on different types of pipes in the United Kingdom.
         They looked at different types of failures for polyethylene (PE) and
         PVC pipes. As part of their research they derived an S-N curve.
         They concluded, “All types of PVC . . . apparently have similar
         fatigue characteristics.” The exception to their conclusion con-
         cerned PVCO rather than PVC.
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