A common tangent AB of a compound curve makes an angle with the tangents of 26° and 38° respectively. The degree of curve of the first curve is 5°30’while that of the second curve it is 3°30’. The stationing of the point of intersection of the tangents is at 12+434.63. If it is desirable to substitute a simple curve that shall be tangent to the two tangent lines as well as the common tangent. a) Find the radius of the simple curve. b) Find the stationing of the new PC c) Find the stationing of the new 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 7P
Question

A common tangent AB of a compound curve makes an angle with the tangents of 26° and 38° respectively. The degree of curve of the first curve is 5°30’while that of the second curve it is 3°30’. The stationing of the point of intersection of the tangents is at 12+434.63. If it is desirable to substitute a simple curve that shall be tangent to the two tangent lines as well as the common tangent.

a) Find the radius of the simple curve.

b) Find the stationing of the new PC

c) Find the stationing of the new PT

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