曲线弧弦差的利用——铁路曲线要素简便公式的推导

UTILIZATION OF DIFFERENCE BETWEEN CURVE’S ARC AND CHORD——DERIVATION OF CONVENIENT FORMULAS FOR ESSENTIALS OF RAILWAY CURVES

本文利用曲线的弧弦差推导出一系列比较简便、易记的铁路曲线计算公式 ,不需三角函数表及各种铁路曲线表 ,仅以简单的运算即可求得常用的各种曲线要素。对采用长弦设置铁路曲线以及在运营线上当缓和曲线的长度不规则时 ,可以利用本文推导的公式计算所需的曲线要素。

By utilizing the difference between curve's arc and chord,a series of more convenient and easily rememberable calculating formulas for railway curves'are derived.It is no need of using trigonometric function table and other railway curves tables.The different essentials of curves in common use may be obtained only by simple calculations.During applying the long chord to layout the railway curves,as well as during the length of transition curve being irregular on the operating railway line,the required curve's essentials may be obtained by utilizing the formulas derived in this paper.