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224    Cha pte r  F i v e


          5.5.3 Applications

          Pull Force
          Equations (5.18) through (5.21) provide means of predicting the peak
          pull force, T , on the pipe during a Mini- (or Midi-) HDD installa-
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          tions. The predicted load should then be compared to the safe pull
          strength for the pipe, which is provided in Table 5.2 for HDPE for a
          variety of pipe sizes. The safe pull strength (lb) is based upon the safe
          pull tensile stress (SPS), as applied to the pipe cross-section (PPI,
          2008). The SPS accounts for the effective load duration, assumed to be
          one hour for the Mini-HDD applications, and a significant reduction
          (less than half) relative to the nominal tensile test strength of HDPE
                     2
          (3200 lb/in. ) to limit nonrecoverable viscoelastic deformation
          (Petroff, 2006).
             ASTM F1962 requires that the predicted peak tensile load to be no
          greater than the corresponding safe pull strength, without requiring
          additional margin or the employment of any explicit safety factor.
          This is considered reasonable for a typically well-planned, well-
          controlled Maxi-HDD operation since there is a degree of conserva-
          tism incorporated into the employed material properties, and in the
          other parametric values. However, for a typical Mini-HDD installa-
          tion, there may be a wide variability in the as-built route characteris-
          tics, such as the degree of actual path curvature and undulations, as
          discussed in the “Pull Force” section in Sec. 5.5.2, and other depar-
          tures from the idealizations with various approximations and assump-
          tions incorporated into the simplifying model described herein. It is
          therefore required that:

              T  [Eqs. (5.18) to (5.22)] <safe pull strength (Table 5.2)   (5.24)
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          by a reasonable margin (e.g., depending upon the application), it may
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          be desired that the predicted tension T  be no more than approxi-
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          mately half the safe pull strength indicated in Table 5.2.

      Nominal            Pipe Diameter to Thickness Ratio (DR)
      Size
      (in.)     7.3      9      11     13.5   15.5     17      21
       2        2998    2505   2096    1739    1530   1404    1085
       3        6511    5439   4551    3777    3324   3049    2356
       4      10,762    8991   7524    6244    5494   5040    3895
       6      23,327 19,488   16,307 13,533 11,909   10,924   8442
       8      38,399 32,080   26,844 22,278 19,603   17,982  13,897
      12      86,398 72,180   60,398 50,125 44,108   40,461  31,268

     TABLE 5.2  Safe Pull Strength (lb), HDPE Pipe, 12 Hours
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