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)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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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