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Pr oject Considerations for Pipe Replacement Methods       273

          pressure on the pipe. In general, the detailed consideration of the
          interaction of the various phenomena, and the consequences for the
          product pipe is relatively complex. In particular, it is not clear that the
          model represented by Eq. (6.6) is appropriate for the asymmetric soil
          pressures applied to a partially constrained pipe in the cavity created
          by the bursting operation. However, for the present purpose of devel-
          oping an easy-to-apply planning guide, it is again desired to make
          some simplifying assumptions. Thus, the effect of the estimated
          asymmetric earth pressure, assuming a locally collapsed cavity, is
          compared to the critical load as indicated in Eq. (6.6), recognizing that
          the procedure may be somewhat conservative due to a degree of lat-
          eral constraint that may be provided to the pipe.
             The critical pressure, P , as given in Eq. (6.6) may be expressed in
                                cr
          terms of an equivalent head (ft) of water, for idealized conditions in
          which the ovality reduction factor, f , and tension reduction factor, f ,
                                        o                         R
          are assumed equal to 1.0. Since the (effective) material stiffness, E,
          and Poisson’s ratio,  μ, are dependent upon the load duration, the
          critical pressure is also dependent upon duration. Table 6.3 is based
          on the corresponding information provided in ASTM F1962-05 or
          related industry information (Petroff, 2006), and is applicable to any
          diameter HDPE pipe. For MDPE pipe, the tabulated values must be
          adjusted by a factor of 0.75.
             Since the soil is of significantly greater density than water, the
          indicated pressure head (ft) values of Table 6.3 must be reduced by a
          factor of 1/γ, for which purposes the soil density is conservatively
          assumed to be double that of water. The values must be further
          adjusted (reduced) for the aforementioned ovality and tensile load
          considerations, as well as possible initial elevated temperature (ASTM
          F1962-05, App. 3).
             In general, there are two phases to be considered with regard to
          possible collapse of the pipe during, or soon following, the installa-
          tion. During the installation process, the short term, or possibly




            Duration         Pipe Diameter to Thickness Ratio (DR)
                        7.3      9     11   13.5   15.5   17    21
           Short term  2,896  1,414   724   371    238   117    91
           10 hours   1,436     702   359   184    118    88    45
           100 hours  1,205     588   301   154     99    74    38
           1,000 hours 1,019    498   255   131     84    62    32
           50 years     649     317   162     83    53    40    20
          TABLE 6.3  Ideal Critical Pressure (Water Head, ft) for Unconstrained HDPE
          (PE3608) Pipe (73°F)
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