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South African Pavement Engineering Manual
                                              Chapter 10:  Pavement Design

              Table 22.  Worked Example:  Design Traffic Calculation using Published Data (CTO)

               Parameter                                  Data                     Comments
               Step 1:  Determine General Design Input Parameters
               Time of traffic survey or
               date of published/known                  2010/12/31                 From CTO data (Figure 26).
               data
               Date of opening                          01/01/2013                 Assumed from project data.
               Step 2:  Determine the Four Basic Input Parameters
               Daily heavy vehicle volume                                          ADTT from CTO Data in
               per lane for the base year                  682                     Figure 26.
               (HVV)
                                                                                   Assumed from Table 17,
                                                                                   range of 4 – 7% (routes
               Heavy vehicle volume                        5%                      connecting centres of
               growth rate (h)                                                     moderate economic
                                                                                   development, long-term
                                                                                   values).
                                                                                   Estimated average E80/truck
               E80/HV at the survey time                   1.5
                                                                                   from CTO Data in Figure 26.
                                                                                   Assumed from Table 18, for
               E80/HV growth rate (v)                      2%
                                                                                   “all heavy”.
               Combined heavy vehicle       i =  [(1+h)(1+v)-1]
               growth and E80/HV growth      =  [(1+0.05)(1+0.02)-1]               Equation (13), input from this
                                             =  0.07                               step.
               Step 3:  Calculate the ADE at the Time of the Traffic Survey
                                                                                   CTO Data in Figure 26
               Adjust for lane distribution                N/A
                                                                                   indicates only 1 lane.
                                                   E80                             Equation (4), input from Step
                                          ADE =    HV  ∙  HVV   1.5 ∙ 682          2.
                                                 duration x lanes  =   1 ∙ 1       Data duration for full year.
                                             =   1023

               Step 4:  Adjust ADE to AADE
               Weekend/weekday
               variation
               Seasonal variation                          N/A                     Data available for full year.
               Exceptional periods
                                                    ADE = AADE = 1023              No adjustments for variations.
               Step 5:  Project AADE from Date of Traffic Survey to Date of Opening
               Time from survey to                       2 years
               opening date (n)
                                                           n
               AADE at time of opening     AADE O  =  AADE S  ⋅(1+i)
                                             =  1023⋅(1+0.07) 2                    Equation (14), input from
                                             =  1171                               Steps 3 and 2.
               Step 6:  Calculate Equivalent Design Traffic
               Structural design period                  20 years                  Design assumption.
               Equivalent traffic
                                                                      y
                                                               [(1 + i) − 1]
                                        ET =  365 ∙  AADE (1 + i)                  Equation (15), input from
                                                        O
                                                                     i             Steps 6 and 2.
                                           =   365 ∙ 1171 (1 + 0.07) [(1 + 0.07) 20  − 1]
                                                                       0.07
                                           =  18 748 635
                                           =  18 million E80s (18 MESA)

              4.7.2 Sensitivity Analysis

              The  design  traffic  estimation  relies  on a number of input  variables  determined from traffic surveys or  estimated.
              These inputs are therefore not exact and can vary.  The sensitivity of the design traffic estimate to variation in the
              inputs must be evaluated.  This is done with a simple sensitivity analysis.  To do this, assign a low, medium and high
              value  to each  input  variable,  and repeat  the  design traffic calculation at different combinations of the inputs.   A
              Monte-Carlo simulation technique may also be used where a statistical distribution is assigned to each of the inputs.

                                              Section 4:  Design Traffic Estimation
                                                         Page 52
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