Road curves are irregular bends in roads to bring a gradual change of direction. Similar curves are on railways and canals.
Curves provided in the horizontal plane are known as horizontal curves and are generally circular or parabolic. Curves provided in the vertical plane are known as vertical curve.
Five types of horizontal curves on roads and railways:
Simple curve
Compound curve
Transition curve
Reverse curve
Deviation curve
Two types of vertical curves on roads:
Valley curve
Summit curve
Horizontal Curve
Simple curve
A simple curve has the same radius throughout and is a single arc of a circle, with two tangents meeting at the intersection (B in this diagram).
Compound curve
A compound curve has two or more simple curves with different radii that bend the same way and are on the same side of a common tangent. In this diagram, MN is the common tangent.
Also called a serpentine curve, it is the reverse of a compound curve, and two simple curves bent in opposite directions are on opposite sides of the common tangent.
Deviation curve
A deviation curve is simply a combination of two reverse curves. It is used when it is necessary to deviate from a given straight path to avoid intervening obstructions such as a building, a body of water, or other significant site.
Transition curve
Is a curve with a gradual change in elevation on the outside of the curve to help drivers comfortably take turns at faster speeds
Vertical road
Valley curve
Also called a sag curve, this curve dips down and then rises back up. These are placed in the base of hills. The opposite of summit curve.
Summit curve
Also called the crest curve, this curve rises and then dips down. At the peak of hills. The opposite of valley curve.
Kobryń, Andrzej (2017), "Sample Applications of Transition Curves in Vertical Alignment", Transition Curves for Highway Geometric Design, Springer Tracts on Transportation and Traffic, vol. 14, Springer International Publishing, pp. 109–131, doi:10.1007/978-3-319-53727-6_9, ISBN9783319537269
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