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Horizontal Curves

- Issue
- Challenges

Highway Design Example

Horizontal Curves

- Purpose
- Process
- Types

Horizontal Curves Simple Curve

Straight road sections

Horizontal Curves Compound Curve

Straight road sections

Horizontal Curves Broken Back Curve

Straight road sections

Horizontal Curves Reverse Curve

Straight road sections

Horizontal Curves Spiral

Straight road section

Geometry of Circular Curves

- Notation
- PI
- PC
- PT
- T

Direction

Geometry of Circular Curves

- Notation cont.
- R
- LC
- L

(No Transcript)

Geometry of Circular Curves

- Notation cont.
- I or ?
- E
- M

(No Transcript)

Geometry of Circular Curves

- Notable aspects of circle geometry
- Designation of Horizontal Curves

Degree of Curvature

- Arc definition (Da)
- Central angle subtended by 100 feet of arc (along

curve)

- Note 100' ? one full station

Degree of Curvature cont.

- Chord definition
- Units

Relationship of Da and R

- Metric equivalents by conversion, e.g.

Curve Relationships

- Note
- Top five equations can be English or metric units

Example Curve Calculations

- Given
- Deflection angle at PI (?) 8 24'
- Station of PI 64 27.64
- Da specified as 2 00'
- Compute
- Curve components
- Stations of PC and PT

Derive Curve Components

Derive Stations of PC and PT

- Station of PI 64 27.64
- Station of PC Station of PI T
- (64 27.64) (2 10.38) 62 17.08
- Station of PT Station of PC L (distance

along curve) - (62 17.08) (4 20.00) 66 17.08

Selection (Design) of Curve

- Issue
- Design basis

Layout of Circular Curves

- Issue
- Angle-distance technique
- Note

Sight Distance on Horizontal Curves

- Issue
- Standards
- Set by American Association of State Highway and

Transportation Officials (AASHTO)

Example of Using SSD

- Consider
- Curve with R 1909.86 ft
- Sight obstruction (e.g. building) 12 ft from

curve (M 12 ft) - Question
- Recall car going 60 mph needs SSD of 475 ft
- Does curve have enough SSD for a car going 60 mph?

LC ?

R 1909.86'

- Available sight distance 428' Required SSD60

475' - Not enough sight distance for 60 mph
- Post lower speed limit or redesign curve

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