Our Vertical Curve Elevation Calculator simplifies highway engineering. Accurately determine the elevation of any point on a sag or crest curve, crucial for precise road construction and drainage. Input key design parameters like PVI station and elevation, grades, and curve length for instant results, ensuring optimal road geometry and safety.
Formula:
The elevation (Ex) at a specific station (x) along a parabolic vertical curve can be calculated using the following formula:
Ex = EPVC + G1_decimal * x + (R/2) * x2
Where:
- Ex = Elevation at the Desired Station.
- EPVC = Elevation of the Point of Vertical Curvature. Calculated as
EPVI - (G1_decimal * (L/2)). - G1_decimal = Initial Grade (G1) converted to decimal (e.g., -2.5% becomes -0.025).
- G2_decimal = Final Grade (G2) converted to decimal.
- L = Length of the Vertical Curve.
- x = Horizontal distance from the PVC to the Desired Station. Calculated as
Desired_Station - Station_PVC. - R = Rate of change of grade along the curve. Calculated as
(G2_decimal - G1_decimal) / L.