Concept explainers
The central angles and the corresponding chord lengthsfor a compound curve which connects two tangents.
Answer to Problem 17P
For the first curve central angle and chord length is shown in table below,
Station | Deflection angle | Chord length |
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For the second curve central angle and chord length is shown in table below,
Station | Deflection angle | Chord length |
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Explanation of Solution
Given information:
Intersection angle
Angle of first deflection curve
Radius of first curve
Radius of second curve
PCC station
Calculation:
Deflection for second curve is given by,
Tangent length of first curve is given by,
Similarly tangent length for second curve is given by,
Length of first curve is given by,
Length of second curve is given by,
Station of first curve at PC is given by,
The station of PCis the point of curve according to the standards of AASHTOit is calculated by dividing the station when it reaches above
Station at point of tangency is given by,
For the first curve calculate degree of first curve is given by,
Deflection angle for first full station is given by,
Deflection angle is given by,
For the first curve chord length is given by,
Deflection angle for last full station is given by,
For the first curve central angle and chord length is shown in table below,
Station | Deflection angle | Chord length |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
For the second curve calculate degree of second curve is given by,
Deflection angle for first full station is given by,
Deflection angle is given by,
For the second curve chord length is given by,
Deflection angle for last full station is given by,
For the second curve central angle and chord length is shown in table below,
Station | Deflection angle | Chord length |
| | |
| | |
| | |
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Chapter 15 Solutions
Traffic and Highway Engineering
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- Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning