Page 49 - Buried Pipe Design
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External Loads  27

           Example Problem 2.3 For Example Problem 2.1, what would be the load if
           the pipe and side soil had approximately the same stiffness?

                                           42
                                                18
                    W c   C d  B c B d   1.6 (120)         1008 lb/ft  (2.10)
                                                12
                                           12
         Prism load. Again, Eq. (2.4) represents a maximum-type loading con-
         dition, and Eq. (2.10) represents a minimum. For a flexible pipe, the
         maximum load is always much too large since this is the load acting
         on a rigid pipe. The minimum is just that, a minimum. The actual load
         will lie somewhere between these limits.
           A more realistic design load for a flexible pipe would be the prism
         load, which is the weight of a vertical prism of soil over the pipe. Also,
         a true trench condition may or may not result in significant load reduc-
         tions on the flexible conduit since a reduction depends upon the direc-
         tion of the frictional forces in the soil. Research data indicate that the
         effective load on a flexible conduit lies somewhere between the mini-
         mum predicted by Marston and the prism load. On a long-term basis,
         the load may approach the prism load. Thus, if one desires to calculate
         the effective load on a flexible conduit, the prism load is suggested as a
         basis for design. The prism or embankment load is given by the follow-
         ing equation (see Fig. 2.13):

                                      P    H                         (2.11)

         where P   pressure due to weight of soil at depth H
                    unit weight of soil
               H   depth at which soil pressure is required
           Example Problem 2.4 Assume an 8-in-OD flexible pipe is to be installed in a
           24-in-wide trench with 10 ft of clay soil cover. The unit weight of the soil is
           120 lb/ft . What is the load on the pipe?
                  3
             For the Marston load, use Eq. (2.10) for minimum W:

                                    W d   C d  B c B d
           where C d   2.8, from Fig. 2.3
                      120 lb/ft 3
                 B d   trench width   2 ft
                                 2
                 B c   OD   8 in     ft
                                  3
                                                   2
                    Marston load   W d   (2.8) (120) (2) (   )   448 lb/ft
                                                     3
             For the prism load, use Eq. (2.11):

                            P    H   120 (10)   1200 lb/ft 2
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