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斜巷和平巷相交处需插入竖曲线以保证矿车运行平稳。竖曲线施工要求出每一弦段与水平线的夹角,用坡度规按弦段长与水平线的夹角(以后称变坡角值)及每一弦长进行施工放线。下面介绍竖曲线变坡角值的计算公式α_i=(2i-1)α′/2=α′(i-1/2) (1)式中α_i—竖曲线分段变坡角值(每一弦段与水平线的夹角); α′=α/n α—竖直角; n—竖直角分成n整份数下面根据三角几何原理对公式进行推证: 图1中:
Inclined lanes and parallel lanes need to insert vertical curves to ensure the smooth operation of the mine car. The vertical curve construction requires the angle between each segment and the horizontal line, and uses the slope rule to perform the construction of the line according to the angle between the length of the segment and the horizontal line (hereinafter referred to as the variable slope angle value) and each chord length. The calculation formula of the vertical slope change angle α_i=(2i-1)α′/2=α′(i-1/2) is described below. (1) α_i—vertical curve segment slope change angle (each) The angle between the chord and the horizontal line); α’=α/n α-the vertical angle; n-the vertical angle is divided into n whole numbers. The following formulas are based on the principle of triangular geometry: