Simple Curves.docx - Simple Curves Terminologies in Simple...

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Simple Curves Terminologies in Simple Curve PC = Point of curvature. It is the beginning of curve. PT = Point of tangency. It is the end of curve. PI = Point of intersection of the tangents. Also called vertex T = Length of tangent from PC to PI and from PI to PT . It is known as subtangent. R = Radius of simple curve, or simply radius. L = Length of chord from PC to PT . Point Q as shown below is the midpoint of L . L c = Length of curve from PC to PT . Point M in the the figure is the midpoint of L c . E = External distance, the nearest distance from PI to the curve. m = Middle ordinate, the distance from midpoint of curve to midpoint of chord. I = Deflection angle (also called angle of intersection and central angle ). It is the angle of intersection of the tangents. The angle subtended by PC and PT at O is also equal to I , where O is the center of the circular curve from the above figure. x = offset distance from tangent to the curve. Note: x is perpendicular to T . θ = offset angle subtended at PC between PI and any point in the curve
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D = Degree of curve. It is the central angle subtended by a length of curve equal to one station. In English system, one station is equal to 100 ft and in SI, one station is equal to 20 m. Sub chord = chord distance between two adjacent full stations.
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