道路曲线偏角及夹角的计算方法与精度分析

摘要

曲线型道路线形复杂,若能用简明且精度可靠的数学模型算出曲线偏角与夹角,必将在纵横断面测绘、边桩和中桩测设中提高其工作效率。对此,根据圆曲线、缓和曲线的特点,推导出弦线与切线夹角、切线与切线夹角、弦线与弦线夹角的一般计算方法和精确计算方法,结合实际数据进行了验证,并在长深高速公路唐山段勘测设计和施工中应用,提高了效率,保证了精度,收到了良好的效果。%The line of curved road is complex.So if deflection angle and included angle can be worked out through simple and accurate mathematical model,the working efficiency in horizontal and vertical section mapping,border pile and king pile surveying will be inevitably improved.In this paper,according to the characteristics of circular curve and easement curve,the simple calculation method and accurate calculation method of the included angles for tangent line with tangent line,tangent line with chord line,and chord line with chord line are deduced.The calculation results are verified combined with actual data.These methods have been applied in surveying design and construction of Tangshan section in Changchun-Shenzhen Highway,which improved efficiency,ensured precision and achieved good effect.