10 Horizontal Curves

10 Horizontal Curves - Horizontal Curves CE 111 Circular...

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Horizontal Curves CE 111
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Circular curves
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Horizontal vs. Vertical Curves Horizontal Both: Vertical:
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Types of Horizontal Curves: R R Simple Curve R R Easement or Transitional Curve spiral spiral R r Compound Curve R R Reverse Curve
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Relationship Between D and R
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Horizontal Curve Definitions: 100 ft 100 ft R R “Degree of Curve” Central angle subtended by a circular ARC of 100 ft (highways) D/100’ = 360/ 2 p r = full circle angle / circumference So R = 5729.58 / D “Degree of Curve” Central angle subtended by a circular CHORD of 100 ft (railways) R R D Arc Definition Chord Definition D R = 50 / Sin D/2
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Horizontal Curve Terms P I = Point of Intersection – back tangent and forward tangent PC = Point of Curvature – beginning of circular curve PT = Point of Tangency – point where curve meets the forward tangent LC = Long Chord – straight line distance ~PC to PT D = Degree of curvature. The central angle which Subtends a 100 foot arc
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Terms - cont’d I or Δ angle = Total intersection (or delta) angle between back and forward tangents. T = Tangent – distance from PC to PI and from PI to PT L = Length – total length of circular curve (along the arc) from the PC to PT E = External – distance from PI to the mid-point of the circular curve.
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This note was uploaded on 09/20/2011 for the course C E 111 taught by Professor Staff during the Spring '08 term at Iowa State.

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10 Horizontal Curves - Horizontal Curves CE 111 Circular...

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