Page 136 - Buried Pipe Design
P. 136

110   Chapter Three

           Overdeflection
           Strain limit
           Longitudinal stresses
           Shear loadings
           Fatigue
           Delamination

         Wall crushing. Wall crushing is the term used to describe the condition
         of localized yielding for a ductile material or cracking failure for brit-
         tle materials. This performance limit is reached when the in-wall
         stress reaches the yield stress or the ultimate stress of the pipe mate-
         rial. The ring compression stress is the primary contributor to this per-
         formance limit. (See Fig. 3.21.)
                                                  P v D
                              Ring compression                       (3.11)
                                                  2A
         where P v   vertical soil pressure
                D   diameter
                A   cross-sectional area per unit length
         However, wall crushing can also be influenced by the bending stress.

                                                Mt/2
                               Bending stress                        (3.12)
                                                  I
         where M   bending moment per unit length
                 t   wall thickness
                 I   moment of inertia of wall cross-section per unit length

           Wall crushing is the primary performance limit or design basis for
         most “rigid” or brittle pipe products. This performance limit may also
         be reached for stiffer flexible pipes installed in highly compacted back-
         fill and subjected to very deep cover. A quick check for this performance











                               Figure 3.21 Wall crushing at the
                               3 and 9 o’clock positions.
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