Problem 5 Given the following vertical curve data PVI at 0

Problem 5 Given the following vertical curve data: PVI at 0 + 725.712, L-100 m, gi--32%,82 +1·8%, and elevation of PVI = 210.440, compute the elevations of the curve low point and even 20-m stations (i.e. 1+000, 1+020, 1+040, etc.)

Solution

VPI Station = 0+725.712
                             VPI Elevation = 210.440
                                        g1 = -3.20%
                                        g2 = +1.80%
                                    Length = 100.000
                               BVC Station = 0+675.712
                             BVC Elevation = 212.040

               Station     x (Sta)        g1*x     r/2*x*x      Elevation
       ==================================================================
             0+775.712       1.000      -3.200       2.500        211.340
             0+760.000       0.843      -2.697       1.776        211.119
             0+740.000       0.643      -2.057       1.033        211.016
             0+720.000       0.443      -1.417       0.490        211.113
             0+700.000       0.243      -0.777       0.147        211.410
             0+680.000       0.043      -0.137       0.005        211.907
             0+675.712           0           0           0        212.040
       ==================================================================

          Minimum elevation = 211.016 @ station 0+739.712