平曲线加宽缓和段内侧边线长度的近似计算

Approximate Calculation for Internal Sideline of Horizontal Curve Widening Transition Section

平曲线加宽缓和段按高次抛物线处理后得到的内侧边线长度计算十分复杂。为了解决这一问题,本文另辟蹊径,经探索找到了计算加宽缓和段内侧边线长度的近似计算方法,以逼近其真实长度。本方法的计算公式简捷明了,测设和施工时易于掌握,借助于AutoCAD可以十分精确地测量出任意复杂曲线的长度,对误差进行了分析,相对误差很小,能够满足要求,具有一定的实用价值和推广价值。

The calculation of internal sideline length is very complicated because the horizontal curve widening transition section has been treated in caccordance with the higher parabola. In order to solve this problem, the author of this paper finds an approximate calculation method to get the internal sideline length of widening transition section. The results have been towards the real length. The error isalso analyzed is simple and easy to handle in the course of survey design and construction. With the help of AutoCAD, the length of arbitrary complex curve can be exactly received. The error is also analysed here, and its relative error is very small, it can meet requirement. This method has certain practical value and spreading value.