標題: SOLVING CIRCULAR CURVE USING NEWTON-RAPHSON METHOD 作者: CHEN, CSHWANG, LS交大名義發表土木工程學系National Chiao Tung UniversityDepartment of Civil Engineering 公開日期: 1-Feb-1992 摘要: In highway, railway, canal, and pipeline locations, the horizontal curves employed at points of change in direction are arcs of circles. A circular curve can be described by seven principal elements: (1) Radius of the curve; (2) deflection angle between tangents; (3) tangent distance; (4) external distance; (5) middle ordinate; (6) long chord; and (7) length of curve. In conventional surveying, the radius of the curve is given, and the deflection angle between the tangents is measured; all other elements can be calculated. However, these two elements sometimes are unknown in the fieldwork. In this case, a new method must be considered. In this paper, a numerical solution called the Newton-Raphson's method is presented. Using this method, the radius of a curve and the deflection angle between the tangents can be calculated so long as two of the other principal elements are given. To be convenient for actual use, a computer program is included. URI: http://hdl.handle.net/11536/3540 ISSN: 0733-9453 期刊: JOURNAL OF SURVEYING ENGINEERING-ASCE Volume: 118 Issue: 1 起始頁: 24 結束頁: 32 Appears in Collections: Articles