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South African Pavement Engineering Manual
                                              Chapter 10:  Pavement Design


                                             i = [(1 + h)(1 + v) − 1]                                  (13)

                                   where  i   =  yearly AADE growth rate as a decimal fraction
                                          h   =  yearly heavy vehicle volume growth rate as a decimal fraction
                                          v   =  yearly E80/HV growth rate as a decimal fraction

              4.5  Sequence of Events and Cumulative Design Traffic

              The chronological sequence of events is important when determining the design traffic.  The following three dates
              are necessary:
              •  Date of the traffic investigation
              •  Date of design
              •  Date of opening

              The process of projecting the AADE from the survey date to the date of design, followed by the accumulation of the
              equivalent traffic for the duration of the structural analysis period is illustrated in Figure 23.





                                                                                       P
                                                                                       Projection with rojection with
                                                                                         cumulative umulative
                                                                                         c
                             D
                             Design Trafficesign Traffic                              c compound growthompound growth
                       Cumulative  Cumulative   equivalent traffic equivalent traffic







                                                                                      T
                                                                                      Timeime
                                                 Duration of structural analysis period, yation of structural analysis period, y
                                                 Dur
                         AADE  AADE     AADE   P
                                               Projection with rojection with
                                        AADE OO
                                              c
                             AADE             compound growthompound growth
                             AADE SS
                      Da
                                    Da
                                                                     Date of end of structural te of end of structural
                      Date of traffic te of traffic   Date of te of   Da              T
                                                                                      Timeime
                       survey, D  opening, D                           analysis period, D
                                                                       analysis period, D YY
                       survey, D SS
                                  opening, D OO

                                             Figure 23.  Sequence of Events

              The date of the traffic survey and design may coincide, but if historical traffic data is used for the design, these dates
              differ.  The AADE determined from the traffic survey data is projected to the AADE at the date of opening, using a
              compound growth calculation given by Equation (14).

                                             AADE = AADE (1 + i)                                       (14)
                                                                 n
                                                  O       S

                        where  AADE O   =   AADE at the time of opening the facility
                               AADE S   =   AADE at the time of the traffic investigation
                               i      =   yearly AADE growth rate as a decimal fraction
                               n      =   Time (years) from the date of the traffic investigation to the date of opening

              Once  the  facility  is  opened  to  traffic,  the  cumulative  equivalent  traffic  (ET)  is  calculated  for  the  duration  of  the
              structural design  period using the cumulative compound growth equation  (Equation  (15)  in  Table 19).  The
              cumulative equivalent traffic at the end of the structural design period is the design traffic or traffic demand that
              must be provided by the structural pavement design.

                                              Section 4:  Design Traffic Estimation
                                                         Page 44
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