Universal Solutions of Transition Curves
Publication: Journal of Surveying Engineering
Volume 142, Issue 4
Abstract
This paper presents two new solutions for transition curves that make it possible to create a smooth connection between two arbitrarily located points. For this reason, the curves are referred to as universal transition curves. The solutions are based on Degree 4 and 5 polynomials and describe the entire curved transition between the set points using only a single equation. The paper also describes a procedure for designing an arc with the use of these curves. The design process requires exact information concerning the location of the two points to be joined (i.e., and ) as well as the directions of the tangents at these points together with the curvature radii at and . Such a data set is necessary owing to the form of the equations describing the universal transition curves. The design principles have been illustrated with relevant numerical examples.
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Published In
Journal of Surveying Engineering
Volume 142 • Issue 4 • November 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Nov 10, 2014
Accepted: Dec 11, 2015
Published online: Feb 8, 2016
Discussion open until: Jul 8, 2016
Published in print: Nov 1, 2016
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