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Computation of Circular Curve Elements Passing through Multiple Points by Using Cosine Theorem by Ramazan Gürsel Hoşbaş is a Engineering article available to read on EtoBox.

What is Computation of Circular Curve Elements Passing through Multiple Points by Using Cosine Theorem about?

Studies have suggested various solutions for determining the center coordinates and radius of a circle curve that are desired to pass through points whose coordinates are known. One solution is via adjustment according to the least-squares method based on the radius length. Another is based on the indirect measurement method, where the condition equation between the unknowns depends on the polar coordinate values of the points given in the radius equation. The center of the orthogonal coordinate system forms a triangle with the points that the circular curve is to pass through. Here, the distance between the center of the curve and the point where the circular curve is to be passed is the sought radius (R). From the points whose orthogonal coordinates are given, the approximate coordinates of the curve center can be calculated by the geodetic positioning method. In this case, the edge length between the center of the orthogonal coordinate system and the center of the curve and the point where the curve is to be passed is calculated. The break angle between the two sides is determined by means of the azimuth angles calculated according to the center of the Cartesian coordinate syste

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Author

Ramazan Gürsel Hoşbaş

Publisher

American Society of Civil Engineers (ASCE)

Published

2023

Language

EN

Field

Engineering (Physical Sciences)