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a1600m long sag vertical curve equal tangent has a PVC at station 120 00 and elevation 1500 m the initial grade is 3.5 and the final grade is 6.5 determine the elevation and sectioning of the low point PVI and PVT pdf

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We, calculate the elevation of the PVT by subtracting the length of curve segment from the PVC elevation: 1500 m - 1000 m * (3.5/1000) = 1465 m.

To determine the elevation and sectioning of the low point (PVI) and point of vertical tangency (PVT) on the sag vertical curve, we can follow these steps:

Calculate the PVI elevation using the initial grade and the PVC elevation at station 120 00. The PVI elevation can be found by adding the initial grade to the PVC elevation: 1500 m + (3.5/1000) * 1600 m = 1556 m.

Calculate the change in grade between the initial grade and the final grade: (6.5 - 3.5)/1000 = 0.003. This is the change in grade per meter.

Determine the length of curve segment between the PVC and the PVI using the change in grade: Length = (Final grade - Initial grade) / Change in grade per meter = (6.5 - 3.5) / 0.003 = 1000 m.

Calculate the elevation of the PVT by subtracting the length of the curve segment between the PVC and the PVI from the PVC elevation: 1500 m - 1000 m * (3.5/1000) = 1465 m.

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