Transportation Highways Horizontal Curve Calculator

Calculate the transportation highways horizontal curve with our free online tool using the input parameters: Intersection Angle, Degree of Curve, Point of Intersection

Determine the geometric properties of a horizontal curve based on the provided values of intersection angle, degree of curve, and point of intersection. Horizontal curves on roads facilitate smooth transitions between tangent sections, enabling vehicles to navigate turns gradually and safely.Degree of Curve

Intersection Angle
Degree of Curve
Point of Intersection
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    18 Number of calculations

    R = \frac{5729.58}{D}
    T = R \cdot \tan\left(\frac{A}{2}\right)
    L = 100 \cdot \left(\frac{A}{D}\right)
    LC = 2 \cdot R \cdot \sin\left(\frac{A}{2}\right)
    E = R \left(\frac{1}{\cos\left(\frac{A}{2}\right)} - 1\right)
    M = R \left(1 - \cos\left(\frac{A}{2}\right)\right)
    PC = \pi - T
    PT = PC + L

    The variables used in the formulas are:

    • D = Degree of Curve, Arc Definition
    • = 1 Degree of Curve
    • = 2 Degrees of Curve
    • P.C. = Point of Curve
    • P.T. = Point of Tangent
    • P.I. = Point of Intersection
    • A = Intersection Angle, Angle between two tangents
    • L = Length of Curve, from P.C. to P.T.
    • T = Tangent Distance
    • E = External Distance
    • R = Radius
    • L.C. = Length of Long Chord
    • M = Length of Middle Ordinate
    • c = Length of Sub-Chord
    • k = Length of Arc for Sub-Chord
    • d = Angle of Sub-Chord

    Each formula calculates a specific geometric property based on the given values of D, A, and R.