Transportation Highways Horizontal Curve Calculator

Calculate the geometric properties of the horizontal curve with the given values of intersection angle, degree of curve and point of intersection. Note: Horizontal curve on the road provides a transition between two tangent strips, allowing a vehicle to take a turn at a gradual rate.

Highways Horizontal Curve - Transportation Calculation

Input Data:
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Results

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Calculate the geometric properties of the horizontal curve with the given values of intersection angle, degree of curve and point of intersection. Note: Horizontal curve on the road provides a transition between two tangent strips, allowing a vehicle to take a turn at a gradual rate.

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Formula
R = 5729.58 / D T = R * tan ( A/2 ) L = 100 * ( A/D ) LC = 2 * R *sin (A/2) E = R ( (1/(cos (A/2) ) ) - 1 ) ) M = R ( 1 - cos (A/2) ) PC = PI - T PT = PC + L Where, D = Degree of Curve, Arc Definition 1° = 1 Degree of Curve 2° = 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

By determining the above elements such as radius, length etc using this highways horizontal curve transportation calculator, the geometric highways design can be made easier.

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