A Study on the Vertical Curves Positioning by Using Linear Element Movement Method
In engineering surveying, the vertical profiles are always constrained by existing conditions. Such as the vertical distances between highway and structures are often affected and constrained by the position of these structures. The traditional method for the calculation of vertical curve is based on the grade of the tangent and uses the trial-and-error method to find the solution. However, this method ignores the case in which the grade is unknown. In addition, whether the results can meet the design rules can not be assured immediately. This paper aims to examine the feasibility of using moveable linear element in vertical curve calculation. The solution is based on the method that linear elements are moveable and then check the positions and radius of the linear element movement.Compare to the traditional method, it is provided a different way in the concept of calculation and met the requirements in the specification. In the study, 12 modules based on different shapes of vertical curves and two real practice examples were used to examine the erriciency of position constrained vertical curves when passing one or two fixed points. Compare to the traditional method, It is found that this method is better than the traditional one, not only in efficiency, but also in meeting the requirements of design rules.
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