5. Three simple curves oare connected to each other such that the first and the second curve forms a compound curve, while the second and the third curves form a reverse curve. The common tangent of the compound curve makes an angle of 45° and 60° with the tangent lines of the compound curve while the angle of convergence of the second tangent of the compound curve with the tangent of the third curve is 35°. The degree of curve of the 1st curve is 5°, while that of the second curve is 4°. Compute the radius of the third curve if the common tangent between the second and the third curve has a length of 220m.

5. Three simple curves oare connected to each other such that the first and the second curve forms a compound curve, while the second and the third curves form a reverse curve. The common tangent of the compound curve makes an angle of 45° and 60° with the tangent lines of the compound curve while the angle of convergence of the second tangent of the compound curve with the tangent of the third curve is 35°. The degree of curve of the 1st curve is 5°, while that of the second curve is 4°. Compute the radius of the third curve if the common tangent between the second and the third curve has a length of 220m.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Three simple curves are connected to each other such that the first and the second curve forms a compound curve, while the second and the third curves form a reverse curve. The common tangent of the compound curve makes an angle of 45° and 60° with the tangent lines of the compound curve while the angle of convergence of the second tangent of the compound curve with the tangent of the third curve is 35°. The degree of curve of the 1st curve is 5°, while that of the second curve is 4°. Compute the radius of the third curve if the common tangent between the second and the third curve has a length of 220m.
2. Two simple curves having vertex angles of 36° and 68°30' respectively are joined to form a compound curve. If the degree of curve of the first and second curve is 1.59° and 6.5°, respectively, find the: a. Common tangent of the compound curve b. Length of the Long chord of the compound curve
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The common tangent of a certain compound curve is parallel to its long chord. Its 523m long chord makes an angle of 15° and 12° with the shorter and longer tangents, respectively. Determine the length (m) of the compound curve.
A compound curve connects three tangents having an azimuths of 254’, 270’ and 280’ respectively. The length of the chord is 320m long measured from the P.C. to the P.T. of the curve and is parallel to the common tangent having an azimuth of 270’. If the stationing of the P.T. is 6 + (551), A. Determine the total length of the curve B. Determine the stationing of the P.C.C. C. Determine the stationing of the P.C.
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