Transportation Highways Horizontal Curve Calculator

Intersection Angle
Degree of Curve
Point of Intersection

Utilize our complimentary online tool to compute the characteristics of transportation highway horizontal curves. Input the parameters: Intersection Angle, Degree of Curve, and Point of Intersection.

Ascertain the geometric attributes of a horizontal curve by using the given intersection angle, degree of bend, and point of intersection. Horizontal curves in road design ensure seamless transitions between straight sections, allowing vehicles to navigate turns gradually and safely.

Transportation Highways Horizontal Curve formula

    \[R = \frac{5729.58}{D}\]

    \[T = R \cdot \tan\left(\frac{A}{2}\right)\]

    \[L = 100 \cdot \left(\frac{A}{D}\right)\]

    \[LC = 2 \cdot R \cdot \sin\left(\frac{A}{2}\right)\]

    \[E = R \left(\frac{1}{\cos\left(\frac{A}{2}\right)} - 1\right)\]

    \[M = R \left(1 - \cos\left(\frac{A}{2}\right)\right)\]

    \[PC = \pi - T\]

    \[PT = PC + L\]

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.

Transportation Highways Horizontal Curve Calculator Online


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