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Pr oject Considerations for Pipe Replacement Methods       269


      Nominal              Pipe Diameter to Thickness Ratio (DR)
     Size (in.)  7.3     9       11      13.5    15.5      17     21
         4      8,600   7,200    6,000    5,000   4,400   4,000   3,300
         6     18,500  15,500   13,000   11,000   9,500   9,000   7,200
         8     31,000  26,000   21,500   18,000  16,000  14,500 12,000
        12     69,500  58,000   48,500   40,500  35,500  32,500 26,500
        24    246,000 205,500 172,000 142,500 125,500 115,000 94,500
     TABLE 6.2  Safe Pull Strength (lb) HDPE (PE3608) Pipe, 12 Hours


          HDPE material weighing 1.53 lb/ft, an assumed coefficient of friction
          on the order of 0.5, and an arbitrarily long section length of 1000 ft
          corresponds to a drag force, or required pulling load, of 765 lb.
             The predicted load should then be compared to the safe pull
          strength for the pipe, which is provided in Table 6.2 for HDPE for a
          variety of pipe sizes. The safe pull strength (lbs) is based upon the
          safe pull tensile stress (SPS) as applied to the pipe cross-section. The
          SPS is a conservative value that accounts for the load duration,
          assumed to be 12 hours, as well as a significant reduction (less than
          half) relative to the nominal tensile strength of HDPE (3200 lb/in. )
                                                                  2
          to limit nonrecoverable viscoelastic deformation (Petroff, 2006).
          For MDPE pipe, the values in Table 6.2 must be adjusted by a factor
          of 0.75.
             It is recognized that the new-bursting operations may impose
          dynamic impact loads on the pipe, not reflected in the steady-state
          movement assumed in the present simplified analyses. Such transient
          effects may be expected to increase the peak steady-state loads by
          approximately 25 percent for HDPE pipe (Atalah, 1998). Due to the
          brevity of the transient load duration, as well as the conservative
          nature of the SPS value, such effects are not considered significant for
          the present calculations.
             It is readily confirmed that the pull load (765 lb) calculated
          before is an order of magnitude below the indicated 4000 lb safe
          pull strength of Table 6.2. In general, the installation distances
          appear to be essentially unlimited compared to that based upon
          actual field present experiences, as outlined in Table 6.1, with simi-
          lar conclusions independent of wall thickness (DR value). It may
          therefore be concluded that the simple model indicated in Fig. 6.21
          and Eq. (6.2) represent idealized conditions, not typically encoun-
          tered in practice. In particular, the assumption that the expanded
          borehole remains stable, along its entire length, as illustrated in
          Fig. 6.21, is optimistic.
             Previous studies (Atalah, 1998) indicate that the borehole may be
          expected to collapse along at least a portion of the length, directly
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