Page 350 - Civil Engineering Formulas
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HIGHWAY AND ROAD FORMULAS             281

             STRUCTURAL NUMBERS FOR FLEXIBLE PAVEMENTS

             The design of a flexible pavement or surface treatment expected to carry more
             than 50,000 repetitions of equivalent single 18-kip axle load (SAI) requires
             identification of a structural number SN that is used as a measure of the ability
             of the pavement to withstand anticipated axle loads. In the AASHTO design
             method, the structural number is defined by
                                                                 (11.23)
                                SN   SN 1   SN 2   SN 3
             where SN   structural number for the surface course   a D 1
                     1
                                                          1
                    a   layer coefficient for the surface course
                     1
                   D   actual thickness of the surface course, in (mm)
                     1
                  SN   structural number for the base course   a D m 2
                                                        2
                     2
                                                      2
                    a   layer coefficient for the base course
                     2
                   D   actual thickness of the base course, in (mm)
                     2
                   m   drainage coefficient for the base course
                     2
                  SN   structural number for the subbase course   a D m 3
                                                          3
                     3
                                                        3
                    a   layer coefficient for the subbase course
                     3
                   D   actual thickness of the subbase course, in (mm)
                     3
                   m   drainage coefficient for the subbase
                     3
               The layer coefficients a are assigned to materials used in each layer to con-
                                n
             vert structural numbers to actual thickness. They are a measure of the relative
             ability of the materials to function as a structural component of the pavement.
             Many transportation agencies have their own values for these coefficients. As a
             guide, the layer coefficients may be 0.44 for asphaltic-concrete surface course,
             0.14 for crushed-stone base course, and 0.11 for sandy-gravel subbase course.
                                                                   1
               The thicknesses  D , D , and  D should be rounded to the nearest    2  in
                                2
                                       3
                             1
             (12.7 mm). Selection of layer thicknesses usually is based on agency stan-
             dards, maintainability of the pavement, and economic feasibility.
               Figure 11.6 shows the linear cross slopes for a typical two-lane highway.
             Figure 11.7 shows the use of circular curves in a variety intersecting grade-
             separated highways.
               2: 1 Cut slopes in        C
               deep cuts except           L
               in rock      Shoulder  Travel lane  Travel lane  Shoulder
                                                              Hinge point
                     Inslope 4:1
                      or flatter    Slope    Slope            4:1 or 6:1
                             Slope                 Slope
                                                              Fill slopes
                                                              on low fills
              Rounded
                                     Natural ground (low fill)
               4:1 or 6:1    Rounded  Natural ground (high fill)
               Cut slopes in  ditch
               shallow cuts                2:1 Fill slopes on high fills,  Rounded
                                           usually with guard rail
              FIGURE 11.6  Typical two-lane highway with linear cross slopes.
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