A vertical curve is used to provide a smooth transition between two different grade lines, Figure B-1.
Adding a Vertical Curve
The parts of the curve, Figure B-2, are:
|PVI||Point of Vertical Intersection (aka PI)|
|BVC||Begin Vertical Curve (aka, BC, PVC, PC)|
|EVC||End Vertical Curve (aka EC, PVT, PT)|
Distances, including the curve length, are horizontal, not along the grade lines or curve.
An equal tangent vertical curve is used. This places BVC and EVC equidistant from the PVI, Figure B-3.
Equal Tangent Vertical Curve
The curve is tangent to the grade lines at both ends to provide a smooth transition between the grade lines and curve.
The stations and elevations of the BVC and EVC are determined from Equationa B-1 and B-2:
|Equation B-1||Equation B-2|
Because grade ratio and percent differ by a factor of 100 as do distances in feet or stations, care must be taken to use the correct form of each in Equations B-1 and B-2. If g is in %, then L must be in stations, if g is a ratio, then L is in feet.