The Unsymmetrical Vertical Parabola

by Robert P. Vreeland,


Serial Information: Journal of the Surveying and Mapping Division, 1968, Vol. 94, Issue 1, Pg. 61-66


Document Type: Journal Paper

Abstract:

An unsymmetrical vertical curve is occasionally required in the geometric design of highways, particularly at interchanges. The usual procedure in such cases makes use of two parabolas with vertical axes and a common tangent. This results in an abrupt change in curvature, and acceleration, at this point of compound curvature. A method is suggested using one parabola with its axis inclined. The elevations as a function of stationing are computed in non dimensional form in terms of three parameters: the two grades and the ratio between the horizontal projections of the tangent lengths.

Subject Headings: Curvature | Paraboloid | Geometrics | Interchanges | Case studies | Parameters (statistics)

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