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Publication Number: FHWA-RD-98-085

LTPP Guide to Asphalt Temperature Prediction and Correction

BELLS2 Source Code:


   Function BELLS2(sIR As Single, sTime As Single, sDepth As Single, _

              sPrevDayAir As Single) As Variant

               

   Dim sTd As Single

   Dim sLogDepth As Single

   Dim sFirstBracket As Single

   Dim sLastTerm As Single

   Dim sSin135 As Single

   Dim sSin155 As Single

   Dim cPI As Single

   Dim sDecHrs As Single

   

   sDecHrs = sTime * 24

   

       cPI = 3.141592653589793238

   

   If sDecHrs > 11 Or sDecHrs < 5 Then

      If sDecHrs < 5 Then sDecHrs = sDecHrs + 24

      sSin155 = Sin(2 * cPI * (sDecHrs - 15.5) / 18)

    Else

      sSin155 = -1

   End If



   If sDecHrs > 9 Or sDecHrs < 3 Then

      If sDecHrs < 3 Then sDecHrs = sDecHrs + 24

      sSin135 = Sin(2 * cPI * (sDecHrs - 13.5) / 18)

    Else

      sSin135 = -1

   End If



   If sDepth > 0 Then

      sTd = 2.78 + 0.912 * sIR

      sLogDepth = Log(sDepth) / Log(10) - 1.25

      sFirstBracket = -0.428 * sIR + 0.553 * sPrevDayAir + 2.63 _

                      * sSin155

      sLastTerm = 0.027 * sIR * sSin135

      sTd = sTd + sLogDepth * sFirstBracket + sLastTerm

      BELLS2 = sTd

   Else

      BELLS2 = "err"

   End If

   End Function


BELLS3 Source Code:


   Function BELLS3(sIR As Single, sTime As Single, sDepth As Single, _

               sPrevDayAir As Single) As Variant

               

   Dim sTd As Single

   Dim sLogDepth As Single

   Dim sFirstBracket As Single

   Dim sLastTerm As Single

   Dim sSin135 As Single

   Dim sSin155 As Single

   Dim cPI As Single

   Dim sDecHrs As Single

   

   sDecHrs = sTime * 24

   

       cPI = 3.141592653589793238

   

   If sDecHrs > 11 Or sDecHrs < 5 Then

      If sDecHrs < 5 Then sDecHrs = sDecHrs + 24

      sSin155 = Sin(2 * cPI * (sDecHrs - 15.5) / 18)

    Else

      sSin155 = -1

   End If



   If sDecHrs > 9 Or sDecHrs < 3 Then

      If sDecHrs < 3 Then sDecHrs = sDecHrs + 24

      sSin135 = Sin(2 * cPI * (sDecHrs - 13.5) / 18)

    Else

      sSin135 = -1

   End If



   If sDepth > 0 Then

      sTd = 0.95 + 0.892 * sIR

      sLogDepth = Log(sDepth) / Log(10) - 1.25

      sFirstBracket = -0.448 * sIR + 0.621 * sPrevDayAir + 1.83 _

                      * sSin155

      sLastTerm = 0.042 * sIR * sSin135

      sTd = sTd + sLogDepth * sFirstBracket + sLastTerm

      BELLS3 = sTd

   Else

      BELLS3 = "err"

   End If

   End Function

ATAF Source Code:


   Function ATAFDefault(sTempMeasured As Single, sTempRef As Single) As Single

  

   Dim sSlope As Single

  

    sSlope = -0.021

  

   ATAFDefault = 10 ^ (sSlope * (sTempRef - sTempMeasured))



   End Function


AREA Temperature Regression Source Code


   Function AREA(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



   Dim sLog10Hac As Single

   Dim sLog10Defl36 As Single

   Dim sLog10Lat As Single

  

   sLog10Hac = Log(sHac) / Log(10)

   sLog10Defl36 = Log(sDefl36) / Log(10)

   sLog10Lat = Log(sLat) / Log(10)

  

   AREA = 12.99232 + 7.770445 * sLog10Hac * sLog10Defl36 _

                  - 6.784399 * sLog10Lat * sLog10Defl36 _

                  + 0.104767 * sTm _

                  - 0.116036 * sTm * sLog10Hac



   End Function


AREA Basin Adjustment Factor Source Code


   Function BAFAREA(sTr As Single, sTm As Single, sHac As Single, _

                 sDefl36 As Single, sLat As Single) As Single



   Dim sLog10Hac As Single

   Dim sLog10Defl36 As Single

   Dim sLog10Lat As Single

  

   Dim AREAref As Single

   Dim AREAmeas As Single

    

   sLog10Hac = Log(sHac) / Log(10)

   sLog10Defl36 = Log(sDefl36) / Log(10)

   sLog10Lat = Log(sLat) / Log(10)

  

   AREAref = 12.99232 + 7.770445 * sLog10Hac * sLog10Defl36 _

                  - 6.784399 * sLog10Lat * sLog10Defl36 _

                  + 0.104767 * sTr _

                  - 0.116036 * sTr * sLog10Hac

   AREAmeas = 12.99232 + 7.770445 * sLog10Hac * sLog10Defl36 _

                  - 6.784399 * sLog10Lat * sLog10Defl36 _

                  + 0.104767 * sTm _

                  - 0.116036 * sTm * sLog10Hac

                  

   BAFAREA = AREAref / AREAmeas



   End Function


F1 Temperature Regression Source Code


   Function LogF1(sTm As Single, sHac As Single, _

               sDefl36 As Single, sLat As Single) As Single



   Dim sLog10Hac As Single

   Dim sLog10Defl36 As Single

   Dim sLog10Lat As Single

  

   sLog10Hac = Log(sHac) / Log(10)

   sLog10Defl36 = Log(sDefl36) / Log(10)

   sLog10Lat = Log(sLat) / Log(10)

  

   LogF1 = 0.32594674 - 0.3824401 * sLog10Hac * sLog10Defl36 _

                     + 0.3269722 * sLog10Lat * sLog10Defl36 _

                     + 0.0044681 * sTm _

                     - 0.0055458 * sTm * sLog10Hac



   End Function


F1 Basin Adjustment Factor Source Code


   Function BAFF1(sTr As Single, sTm As Single, sHac As Single, _

               sDefl36 As Single, sLat As Single) As Single



   Dim sLog10Hac As Single

   Dim sLog10Defl36 As Single

   Dim sLog10Lat As Single

  

   Dim F1Ref As Single

   Dim F1Meas As Single

   Dim LogF1Ref As Single

   Dim LogF1Meas As Single

  

   sLog10Hac = Log(sHac) / Log(10)

   sLog10Defl36 = Log(sDefl36) / Log(10)

   sLog10Lat = Log(sLat) / Log(10)

  

   LogF1Meas = 0.32594674 - 0.3824401 * sLog10Hac * sLog10Defl36 _

                     + 0.3269722 * sLog10Lat * sLog10Defl36 _

                     + 0.0044681 * sTm _

                     - 0.0055458 * sTm * sLog10Hac

  

   F1Meas = 10 ^ LogF1Meas

                     

   LogF1Ref = 0.32594674 - 0.3824401 * sLog10Hac * sLog10Defl36 _

                     + 0.3269722 * sLog10Lat * sLog10Defl36 _

                     + 0.0044681 * sTr _

                     - 0.0055458 * sTr * sLog10Hac

   F1Ref = 10 ^ LogF1Ref

  

   BAFF1 = LogF1Ref / LogF1Meas

   End Function


Delta8 Factor Temperature Regression Source Code


  Function LogDelta8(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDelta8 = 3.023929 - 1.49409194 * sLog10Hac _

                       + 0.54104246 * sLog10Lat _

                       + 0.39373083 * sLog10Defl36 _

                       - 0.02300368 * sTm _

                       + 0.01106898 * sTm * sLog10Hac * sLog10Lat



  End Function


Delta12 Factor Temperature Regression Source Code


  Function LogDelta12(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDelta12 = 3.44982 - 1.59017246 * sLog10Hac _

                       + 0.48886573 * sLog10Lat _

                       + 0.4490117 * sLog10Defl36 _

                       - 0.0274853 * sTm _

                       + 0.0120207 * sTm * sLog10Hac * sLog10Lat



  End Function


Delta18 Factor Temperature Regression Source Code


  Function LogDelta18(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDelta18 = 4.17526765 - 1.5181354 * sLog10Hac _

                          + 0.31725437 * sLog10Lat * sLog10Defl36 _

                          - 0.02649102 * sTm _

                          + 0.011248527 * sTm * sLog10Hac * sLog10Lat



  End Function


Delta24 Factor Temperature Regression Source Code


  Function LogDelta24(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDelta24 = 3.300464 - 1.321635 * sLog10Hac _

                        + 0.51391458 * sLog10Lat * sLog10Defl36 _

                        - 0.0062243 * sTm * sLog10Lat * sLog10Defl36 _

                        + 0.008381 * sTm * sLog10Hac * sLog10Lat



  End Function


Delta36 Factor Temperature Regression Source Code


  Function LogDelta36(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDelta36 = 3.05775 - 1.1314304 * sLog10Hac _

                       + 0.5024461 * sLog10Lat * sLog10Defl36 _

                       - 0.0048721 * sTm * sLog10Lat * sLog10Defl36 _

                       + 0.006775 * sTm * sLog10Hac * sLog10Lat



  End Function


Delta60 Factor Temperature Regression Source Code


  Function LogDelta60(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDelta60 = 2.668041 - 0.7695945 * sLog10Hac _

                        + 0.6500822 * sLog10Defl36 _

                        + 0.002903 * sTm * sLog10Hac



  End Function


BAFDelta8 Factor Source Code


  Function BAFDelta8(sTr As Single, sTm As Single, sHac As Single, _

                   sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA8Ref As Single

  Dim DELTA8Meas As Single

  Dim LogDELTA8Ref As Single

  Dim LogDELTA8Meas As Single



  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA8Meas = 3.023929 - 1.49409194 * sLog10Hac _

                       + 0.54104246 * sLog10Lat _

                       + 0.39373083 * sLog10Defl36 _

                       - 0.02300368 * sTm _

                       + 0.01106898 * sTm * sLog10Hac * sLog10Lat

  

  DELTA8Meas = 10 ^ LogDELTA8Meas

  

  LogDELTA8Ref = 3.023929 - 1.49409194 * sLog10Hac _

                       + 0.54104246 * sLog10Lat _

                       + 0.39373083 * sLog10Defl36 _

                       - 0.02300368 * sTr _

                       + 0.01106898 * sTr * sLog10Hac * sLog10Lat



  DELTA8Ref = 10 ^ LogDELTA8Ref

  

  BAFDelta8 = DELTA8Ref / DELTA8Meas



  End Function


BAFDelta12 Factor Source Code


  Function BAFDelta12(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA12Ref As Single

  Dim DELTA12Meas As Single

  Dim LogDELTA12Ref As Single

  Dim LogDELTA12Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA12Meas = 3.44982 - 1.59017246 * sLog10Hac _

                       + 0.48886573 * sLog10Lat _

                       + 0.4490117 * sLog10Defl36 _

                       - 0.0274853 * sTm _

                       + 0.0120207 * sTm * sLog10Hac * sLog10Lat

  

  DELTA12Meas = 10 ^ LogDELTA12Meas

  

  LogDELTA12Ref = 3.44982 - 1.59017246 * sLog10Hac _

                       + 0.48886573 * sLog10Lat _

                       + 0.4490117 * sLog10Defl36 _

                       - 0.0274853 * sTr _

                       + 0.0120207 * sTr * sLog10Hac * sLog10Lat

  

  DELTA12Ref = 10 ^ LogDELTA12Ref

  

  BAFDelta12 = DELTA12Ref / DELTA12Meas

  

  End Function


BAFDelta18 Factor Source Code


  Function BAFDelta18(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA18Ref As Single

  Dim DELTA18Meas As Single

  Dim LogDELTA18Ref As Single

  Dim LogDELTA18Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA18Meas = 4.17526765 - 1.5181354 * sLog10Hac _

                          + 0.31725437 * sLog10Lat * sLog10Defl36 _

                          - 0.02649102 * sTm _

                          + 0.011248527 * sTm * sLog10Hac * sLog10Lat

                          

  DELTA18Meas = 10 ^ LogDELTA18Meas

  

  LogDELTA18Ref = 4.17526765 - 1.5181354 * sLog10Hac _

                          + 0.31725437 * sLog10Lat * sLog10Defl36 _

                          - 0.02649102 * sTr _

                          + 0.011248527 * sTr * sLog10Hac * sLog10Lat



  DELTA18Ref = 10 ^ LogDELTA18Ref

  

  BAFDelta18 = DELTA18Ref / DELTA18Meas



  End Function


BAFDelta24 Factor Source Code


  Function BAFDelta24(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA24Ref As Single

  Dim DELTA24Meas As Single

  Dim LogDELTA24Ref As Single

  Dim LogDELTA24Meas As Single

    

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA24Meas = 3.300464 - 1.321635 * sLog10Hac _

                        + 0.51391458 * sLog10Lat * sLog10Defl36 _

                        - 0.0062243 * sTm * sLog10Lat * sLog10Defl36 _

                        + 0.008381 * sTm * sLog10Hac * sLog10Lat



  DELTA24Meas = 10 ^ LogDELTA24Meas



  LogDELTA24Ref = 3.300464 - 1.321635 * sLog10Hac _

                        + 0.51391458 * sLog10Lat * sLog10Defl36 _

                        - 0.0062243 * sTr * sLog10Lat * sLog10Defl36 _

                        + 0.008381 * sTr * sLog10Hac * sLog10Lat



  DELTA24Ref = 10 ^ LogDELTA24Ref

  

  BAFDelta24 = DELTA24Ref / DELTA24Meas



  End Function


BAFDelta36 Factor Temperature Regression Source Code


  Function BAFDelta36(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA36Ref As Single

  Dim DELTA36Meas As Single

  Dim LogDELTA36Ref As Single

  Dim LogDELTA36Meas As Single

  

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA36Meas = 3.05775 - 1.1314304 * sLog10Hac _

                       + 0.5024461 * sLog10Lat * sLog10Defl36 _

                       - 0.0048721 * sTm * sLog10Lat * sLog10Defl36 _

                       + 0.006775 * sTm * sLog10Hac * sLog10Lat

                       

  DELTA36Meas = 10 ^ LogDELTA36Meas



  LogDELTA36Ref = 3.05775 - 1.1314304 * sLog10Hac _

                       + 0.5024461 * sLog10Lat * sLog10Defl36 _

                       - 0.0048721 * sTr * sLog10Lat * sLog10Defl36 _

                       + 0.006775 * sTr * sLog10Hac * sLog10Lat

                       

  DELTA36Ref = 10 ^ LogDELTA36Ref

  

  BAFDelta36 = DELTA36Ref / DELTA36Meas



  End Function


BAFDelta60 Factor Source Code


  Function BAFDelta60(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA60Ref As Single

  Dim DELTA60Meas As Single

  Dim LogDELTA60Ref As Single

  Dim LogDELTA60Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA60Meas = 2.668041 - 0.7695945 * sLog10Hac _

                        + 0.6500822 * sLog10Defl36 _

                        + 0.002903 * sTm * sLog10Hac



  DELTA60Meas = 10 ^ LogDELTA60Meas

  

  LogDELTA60Ref = 2.668041 - 0.7695945 * sLog10Hac _

                        + 0.6500822 * sLog10Defl36 _

                        + 0.002903 * sTr * sLog10Hac

                        

  DELTA60Ref = 10 ^ LogDELTA60Ref



  BAFDelta60 = DELTA60Ref / DELTA60Meas



  End Function


Ratio8 Factor Temperature Regression Source Code


  Function LogRatio8(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio8 = 0.183313 + 0.011844 * sLog10Hac * sLog10Defl36 _

                       + 0.00979776 * sTm _

                       + 0.0696115 * sLog10Lat _

                       - 0.1334738 * sLog10Hac _

                       - 0.0041641497 * sTm * sLog10Defl36



  End Function


Ratio12 Factor Source Code


  Function LogRatio12(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio12 = 0.199689 - 0.117337 * sLog10Hac * sLog10Defl36 _

                        + 0.126272 * sLog10Lat * sLog10Defl36 _

                        + 0.00860954 * sTm _

                        - 0.00183255 * sTm * sLog10Lat * sLog10Defl36



  End Function 


Ratio18 Factor Temperature Regression Source Code


  Function LogRatio18(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio18 = 0.95186965 - 0.45007886 * sLog10Hac _

                          - 0.16893949 * sLog10Defl36 _

                          + 0.32719107 * sLog10Lat _

                          + 0.00211684 * sTm * sLog10Hac

                     

  End Function


Ratio24 Factor Temperature Regression Source Code


  Function LogRatio24(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio24 = 1.164641 - 0.586777 * sLog10Hac _

                        - 0.209606 * sLog10Defl36 _

                        + 0.481204 * sLog10Lat _

                        + 0.002567648 * sTm * sLog10Hac

                     

  End Function


Ratio36 Factor Temperature Regression Source Code


  Function LogRatio36(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio36 = -0.091206 - 0.36723 * sLog10Hac * sLog10Defl36 _

                         + 0.488556 * sLog10Defl36 _

                         + 0.690688 * sLog10Lat _

                         + 0.002983855 * sTm * sLog10Hac

                     

  End Function


Ratio60 Factor Temperature Regression Source Code


  Function LogRatio60(sTm As Single, sHac As Single, sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio60 = 0.072564 - 0.33597 * sLog10Hac * sLog10Defl36 _

                        + 0.33425 * sLog10Defl36 _

                        + 0.872 * sLog10Lat _

                        + 0.00245511 * sTm * sLog10Hac

                     

  End Function


BAFRatio8 Factor Source Code


  Function BAFRatio8(sTr As Single, sTm As Single, sHac As Single, _

                   sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim Ratio8Ref As Single

  Dim Ratio8Meas As Single

  Dim LogRatio8Ref As Single

  Dim LogRatio8Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio8Meas = 0.183313 + 0.011844 * sLog10Hac * sLog10Defl36 _

                       + 0.00979776 * sTm _

                       + 0.0696115 * sLog10Lat _

                       - 0.1334738 * sLog10Hac _

                       - 0.0041641497 * sTm * sLog10Defl36

  

  Ratio8Meas = 10 ^ LogRatio8Meas



  LogRatio8Ref = 0.183313 + 0.011844 * sLog10Hac * sLog10Defl36 _

                       + 0.00979776 * sTr _

                       + 0.0696115 * sLog10Lat _

                       - 0.1334738 * sLog10Hac _

                       - 0.0041641497 * sTr * sLog10Defl36

  

  Ratio8Ref = 10 ^ LogRatio8Ref

  

  BAFRatio8 = Ratio8Ref / Ratio8Meas



  End Function


BAFRatio12 Factor Source Code


  Function BAFRatio12(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim Ratio12Ref As Single

  Dim Ratio12Meas As Single

  Dim LogRatio12Ref As Single

  Dim LogRatio12Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio12Meas = 0.199689 - 0.117337 * sLog10Hac * sLog10Defl36 _

                        + 0.126272 * sLog10Lat * sLog10Defl36 _

                        + 0.00860954 * sTm _

                        - 0.00183255 * sTm * sLog10Lat * sLog10Defl36

  

  Ratio12Meas = 10 ^ LogRatio12Meas



  LogRatio12Ref = 0.199689 - 0.117337 * sLog10Hac * sLog10Defl36 _

                        + 0.126272 * sLog10Lat * sLog10Defl36 _

                        + 0.00860954 * sTr _

                        - 0.00183255 * sTr * sLog10Lat * sLog10Defl36

  

  Ratio12Ref = 10 ^ LogRatio12Ref



  BAFRatio12 = Ratio12Ref / Ratio12Meas

  

  End Function


BAFRatio18 Factor Source Code


  Function BAFRatio18(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim Ratio18Ref As Single

  Dim Ratio18Meas As Single

  Dim LogRatio18Ref As Single

  Dim LogRatio18Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio18Meas = 0.95186965 - 0.45007886 * sLog10Hac _

                          - 0.16893949 * sLog10Defl36 _

                          + 0.32719107 * sLog10Lat _

                          + 0.00211684 * sTm * sLog10Hac

  

  Ratio18Meas = 10 ^ LogRatio18Meas

                     

  LogRatio18Ref = 0.95186965 - 0.45007886 * sLog10Hac _

                          - 0.16893949 * sLog10Defl36 _

                          + 0.32719107 * sLog10Lat _

                          + 0.00211684 * sTr * sLog10Hac

  

  Ratio18Ref = 10 ^ LogRatio18Ref

  

  BAFRatio18 = Ratio18Ref / Ratio18Meas

                     

  End Function


BAFRatio24 Factor Source Code


  Function BAFRatio24(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim Ratio24Ref As Single

  Dim Ratio24Meas As Single

  Dim LogRatio24Ref As Single

  Dim LogRatio24Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio24Meas = 1.164641 - 0.586777 * sLog10Hac _

                        - 0.209606 * sLog10Defl36 _

                        + 0.481204 * sLog10Lat _

                        + 0.002567648 * sTm * sLog10Hac

  

  Ratio24Meas = 10 ^ LogRatio24Meas

                     

  LogRatio24Ref = 1.164641 - 0.586777 * sLog10Hac _

                        - 0.209606 * sLog10Defl36 _

                        + 0.481204 * sLog10Lat _

                        + 0.002567648 * sTr * sLog10Hac

  

  Ratio24Ref = 10 ^ LogRatio24Ref

           

  BAFRatio24 = Ratio24Ref / Ratio24Meas

                     

  End Function


BAFRatio36 Factor Source Code


  Function BAFRatio36(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim Ratio36Ref As Single

  Dim Ratio36Meas As Single

  Dim LogRatio36Ref As Single

  Dim LogRatio36Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio36Meas = -0.091206 - 0.36723 * sLog10Hac * sLog10Defl36 _

                         + 0.488556 * sLog10Defl36 _

                         + 0.690688 * sLog10Lat _

                         + 0.002983855 * sTm * sLog10Hac

                         

  Ratio36Meas = 10 ^ LogRatio36Meas

  

  LogRatio36Ref = -0.091206 - 0.36723 * sLog10Hac * sLog10Defl36 _

                         + 0.488556 * sLog10Defl36 _

                         + 0.690688 * sLog10Lat _

                         + 0.002983855 * sTr * sLog10Hac

  

  Ratio36Ref = 10 ^ LogRatio36Ref

  

  BAFRatio36 = Ratio36Ref / Ratio36Meas

                     

  End Function


BAFRatio18 Factor Source Code


  Function BAFRatio60(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim Ratio60Ref As Single

  Dim Ratio60Meas As Single

  Dim LogRatio60Ref As Single

  Dim LogRatio60Meas As Single

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogRatio60Meas = 0.072564 - 0.33597 * sLog10Hac * sLog10Defl36 _

                        + 0.33425 * sLog10Defl36 _

                        + 0.872 * sLog10Lat _

                        + 0.00245511 * sTm * sLog10Hac

                        

  Ratio60Meas = 10 ^ LogRatio60Meas

                     

  LogRatio60Ref = 0.072564 - 0.33597 * sLog10Hac * sLog10Defl36 _

                        + 0.33425 * sLog10Defl36 _

                        + 0.872 * sLog10Lat _

                        + 0.00245511 * sTr * sLog10Hac

                        

  Ratio60Ref = 10 ^ LogRatio60Ref

                     

  BAFRatio60 = Ratio60Ref / Ratio60Meas



  End Function


TAFDefl0 Source Code


  Function TAFDefl(sTr As Single, sTm As Single, sHac As Single, _

                    sDefl36 As Single, sLat As Single) As Single



  Dim sLog10Hac As Single

  Dim sLog10Defl36 As Single

  Dim sLog10Lat As Single

  

  Dim DELTA36Ref As Single

  Dim DELTA36Meas As Single

  Dim LogDELTA36Ref As Single

  Dim LogDELTA36Meas As Single

  

  

  sLog10Hac = Log(sHac) / Log(10)

  sLog10Defl36 = Log(sDefl36) / Log(10)

  sLog10Lat = Log(sLat) / Log(10)

  

  LogDELTA36Meas = 3.05775 - 1.1314304 * sLog10Hac _

                       + 0.5024461 * sLog10Lat * sLog10Defl36 _

                       - 0.0048721 * sTm * sLog10Lat * sLog10Defl36 _

                       + 0.006775 * sTm * sLog10Hac * sLog10Lat

                       

  DELTA36Meas = 10 ^ LogDELTA36Meas



  LogDELTA36Ref = 3.05775 - 1.1314304 * sLog10Hac _

                       + 0.5024461 * sLog10Lat * sLog10Defl36 _

                       - 0.0048721 * sTr * sLog10Lat * sLog10Defl36 _

                       + 0.006775 * sTr * sLog10Hac * sLog10Lat

                       

  DELTA36Ref = 10 ^ LogDELTA36Ref

  

  TAFDefl = (sDefl36 + DELTA36Ref) / (sDefl36 + DELTA36Meas)



  End Function

Table of Contents


The Federal Highway Administration (FHWA) is a part of the U.S. Department of Transportation and is headquartered in Washington, D.C., with field offices across the United States. is a major agency of the U.S. Department of Transportation (DOT).
The Federal Highway Administration (FHWA) is a part of the U.S. Department of Transportation and is headquartered in Washington, D.C., with field offices across the United States. is a major agency of the U.S. Department of Transportation (DOT). Provide leadership and technology for the delivery of long life pavements that meet our customers needs and are safe, cost effective, and can be effectively maintained. Federal Highway Administration's (FHWA) R&T Web site portal, which provides access to or information about the Agency’s R&T program, projects, partnerships, publications, and results.
FHWA
United States Department of Transportation - Federal Highway Administration