Courbe verticale : résolution de problèmes

A vertical curve connects two grade lines, ensuring a smooth highway transition. The curve length, grades, P.V.I. location, and P.V.I. elevation are provided to calculate the curve’s elevations at specified stations. 

The P.V.C. and P.V.T. stations, marking the start and end of the curve, are calculated by subtracting and adding half the curve length to the P.V.I. station.

Using the given grades, P.V.I. elevation, and half the curve length, the elevations at P.V.C. and P.V.T. are determined.

For each station, the grade line elevation is computed by combining the grade and the horizontal distance from the P.V.C. or P.V.T.

Next, the midpoint elevation of the long chord and the curve's midpoint elevation are determined to calculate the offset at P.V.I.

This offset and the horizontal distance from the P.V.C. or P.V.T. are used to calculate tangent offsets for each station based on the curve length.

Finally, the curve elevations at the stations are obtained by subtracting the tangent offsets from the grade line elevations.

The computed elevations represent the vertical profile of the curve.