It is desired to connect two intersecting roadways, the centerlines of which have bearings N 40°30'E and S 32°40'E with a compound curve where the PT of the second curve ends 100 m from the intersection and located at the centerline of the second road. The radius R, of the second curve is two-thirds the radius of the first curve. The angle of intersection of the first curve is 69°40'. Station V = 2+125.623 m. a. Determine the radius of the first curve. b. Determine the radius of the second curve. c. If the compound curve is to be replaced by a simple curve whose length equals the length of the compound curve, find the stationing of PC. (Round off your final answers to three decimal places)

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
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It is desired to connect two intersecting roadways, the centerlines of which have
bearings N 40°30ʻE and S 32°40'E with a compound curve where the PT of the second
curve ends 100 m from the intersection and located at the centerline of the second
road. The radius R, of the second curve is two-thirds the radius of the first curve. The
angle of intersection of the first curve is 69°40'. Station V = 2+125.623 m.
a. Determine the radius of the first curve.
b. Determine the radius of the second curve.
c. If the compound curve is to be replaced by a simple curve whose length equals
the length of the compound curve, find the stationing of PC.
(Round off your final answers to three decimal places)
Transcribed Image Text:It is desired to connect two intersecting roadways, the centerlines of which have bearings N 40°30ʻE and S 32°40'E with a compound curve where the PT of the second curve ends 100 m from the intersection and located at the centerline of the second road. The radius R, of the second curve is two-thirds the radius of the first curve. The angle of intersection of the first curve is 69°40'. Station V = 2+125.623 m. a. Determine the radius of the first curve. b. Determine the radius of the second curve. c. If the compound curve is to be replaced by a simple curve whose length equals the length of the compound curve, find the stationing of PC. (Round off your final answers to three decimal places)
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