A proposed highway has two tangents of bearings N 45°54'36" E and N 1°22'30" W. The highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 13.00 m. The PI is at station 65+743.21. Determine: The central angle of the curve. The radius of the curve. The length of the tangent of the curve. The station of PC. The length of the curve. The station of PT.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter15: Geometric Design Of Highway Facilities
Section: Chapter Questions
Problem 13P
Question
A proposed highway has two tangents of bearings N 45°54'36" E and N 1°22'30" W. The highway
design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents,
decides that the external ordinate is to be 13.00 m. The PI is at station 65+743.21. Determine:
The central angle of the curve.
The radius of the curve.
The length of the tangent of the curve.
The station of PC.
The length of the curve.
The station of PT.
Transcribed Image Text:A proposed highway has two tangents of bearings N 45°54'36" E and N 1°22'30" W. The highway design engineer, attempting to obtain the best fit for the simple circular curve to join these tangents, decides that the external ordinate is to be 13.00 m. The PI is at station 65+743.21. Determine: The central angle of the curve. The radius of the curve. The length of the tangent of the curve. The station of PC. The length of the curve. The station of PT.
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