Transportation Highways Horizontal Curve Formula - Civil Engineering


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

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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

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