Vertical Curve Calculator

Compute elevation at any station along a parabolic vertical curve from PVI data and incoming/outgoing grades.

PVI Station (ft)

PVI Elevation (ft)

Grade In, g1 (%)

Grade Out, g2 (%)

Curve Length, L (ft)

Query Station (ft)

Elevation at Query Station

Curve Type

A (Algebraic Diff)

BVC Station / Elev

EVC Station / Elev

High/Low Point Station

High/Low Point Elevation

Vertical Curve Formulas

BVC = PVI Station - L/2

EVC = PVI Station + L/2

r = (g2 - g1) / L

Elev(x) = BVC_Elev + g1*x + (r/2)*x^2

High/Low: x = -g1/r (if within curve)

Horizontal curve geometry.

Slope conversions.

Elevation profiles.

Differential leveling.

Trig leveling.

Earthwork volumes.