the reverse curve is 15°. The radii of the first, second and third curve are 190.986 m, 381.97 m, and 159.155 m respectively. Determine the following: a. The long chord of the first simple curve. b. The long chord of the second simple curve. c. The angle (in nearest minute) which the long chord of the compound curve makes with its first tangent. d. The angle (in nearest minute) which the long chord of the compound curve makes with its second tangent. If the stationing of the beginning of the compound curve is at 10+520 m, find: e. The stationing of the point of compound

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The second curve in a compound curve is connected to another simple curve in opposite direction. The common tangent of the compound curve makes an angle of 45° and 60° with the first and second tangent of the simple curves. The long chord of the compound curve is 458.025 m. The angle of convergence between the second tangent of the compound curve and the tangent of the reverse curve is 15°. The radii of the first, second and third curve are 190.986 m, 381.97 m, and 159.155 m respectively. Determine the following: a. The long chord of the first simple curve. b. The long chord of the second simple curve. c. The angle (in nearest minute) which the long chord of the compound curve makes with its first tangent. d. The angle (in nearest minute) which the long chord of the compound curve makes with its second tangent. If the stationing of the beginning of the compound curve is at 10+520 m, find: e. The stationing of the point of compound curve. f. The stationing of the point of reverse curve. g. The stationing of the end of the reverse curve.
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