Page 34 - Buried Pipe Design
P. 34

12   Chapter Two








                        h          V



                                       gB  dh
                                         d
                                                         V
                                                     Ku    dh
            H    dh                                     B d

                                          V
                                        K
                                         B d
                                V   dV


                                  B d








                                  B c









         Figure 2.1 Basis for Marston’s theory of loads on buried pipe. W d   load
          on conduit per unit length along conduit in pounds per linear foot; e
         base of natural logarithms;     unit weight of backfill, i.e., pounds per
         cubic foot; V   vertical pressure on any horizontal plane in backfill, in
         pounds per unit length of ditch; B c   horizontal breadth (outside) of
          conduit, in feet; B d   horizontal width of ditch at top of conduit, in feet;
          H   height of fill above top of conduit, in feet; h   distance from ground
         surface down to any horizontal plane in backfill, in feet; C d   load coef-
         ficient for ditch conduits;     tan     coefficient of internal friction of
          backfill;  ′   tan     coefficient of friction between backfill and sides
         of ditch; K   ratio of active lateral unit pressure to vertical unit pres-
         sure. (Reprinted, by permission, from Spangler and Handy, Soil
          Engineering, 4th ed., Harper & Row, 1982.)
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