Crest Vertical Curve - Crest Vertical Curve Length Calculator

Utilize our complimentary online tool to compute the length of a crest vertical curve. Input the following parameters: Distance, Initial Grade, Final Grade, Height.

This calculator calculates the essential length of a crest vertical curve, which is particularly valuable in roadway design. It addresses situations where the line of sight may surpass or fall short of the curve’s length requirement.

Crest Vertical Curve Length formula

$L_m = \frac{{A \times S^2}}{{200 \times (\sqrt{h_1} + \sqrt{h_2})^2}} \quad \forall \, S < L_m$

$L_m = 2S - \left( \frac{{200 \times (\sqrt{h_1} + \sqrt{h_2})^2}}{{A}} \right) \quad \forall \, S > L_m$

The variables used in the formula are:

A – Absolute difference between g₂ and g₁

S – Sight Distance

L_m – Minimum Curve Length

h₁ – Height of driver’s eye above roadway surface

h₂ – Height of object above roadway surface

The calculation of a convex-shaped vertical curve is made simpler with the help of the Crest Vertical Curve Length Calculator.