曲线要素计算表

平曲线要素计算结果计算公式备注缓和曲线长l0190已知（m）曲线半径R1600已知（m）曲线长Lc1192.29交点前直线切线角A5.814491681转向角α0.863933132α=β1-β2β1交点前方位角、β2交点后方位角；α右转为正，左转为负(弧度制)曲线方向判别1左=-1,右=1内移距p0.940104167p=l02/24Rl0缓和曲线长（指的是一段的长不是两段的和）切垂距m94.98883626m=l0/2-l03/240R2缓和曲线缓和曲线角β00.059375β0=l0/2R缓和曲线(弧度制)切线长T833.0276277T=(R+p)*TAN(α/2）+m曲线长L1572.293011L=(R*α*π)/180+l0外视距E162.869954E=(R+p)sec(α/2）-R切曲差q93.76224494q=2T-L交点里程JD437703.58JD=ZH+T已知ZH点切线方位角5.814491681333.1458HY点切线方位角5.873866681336.5478YH点切线方位角6.61904981319.2436HZ点切线方位角6.67842481322.6456直缓点ZH里程436870.55ZH=JD-T缓圆点HY里程437060.55HY=ZH+l0曲中QZ里程437656.70QZ=HY+L/2-l0圆缓点YH里程438252.85YH=QZ+L/2-l0缓直点HZ里程438442.85HZ=YH+l0缓直点HZ里程438442.85HZ=JD+T-q校核无误平曲线要素计算结果计算公式备注方位角θ15.814491681交点前导线沿线路前进方向的方位角注：1、表中蓝色部分为需要对照设计院给的参数表填写。2、表中绿色部分为计算器程序所需的线元参数。设有缓和曲线的要素计算公式注:曲线终点里程必须沿曲线计算，不能沿切线计算。只有把终点里程算出来后，才能接着算下一直线里程；excel表格中角度是弧度制设有缓和曲线的主要素坐标计算方位角θ20.395239505交点后导线沿线路前进方向的方位角交点X0858080.92交点Y0498537.24曲线半径R1600转向角α5.419252176α=θ1-θ2曲线方向判别1左=-1,右=1内移距p0.940104167p=l02/24R前缓和曲线长l1190后缓和曲线长l2190切线长T1643.0499552T=(R+p)*TAN(α/2）+m切线长T2643.0499552T=(R+p)*TAN(α/2）+m切垂距m94.98883626m=l0/2-l03/240R2外视距E-3362.869954E=(R+p)sec(α/2）-R切曲差q7574.70357q=2T-L曲线长L8860.803481L=(R*α*π)/180+l0交点里程JD437703.58JD=ZH+T直缓点ZH437060.53ZH=JD-T缓圆点HY437250.53HY=ZH+l0曲中QZ441490.9318QZ=HY+L/2-l0圆缓点YH445731.3335YH=QZ+L/2-l0缓直点HZ445921.3335HZ=YH+l0ZH(x)857507.2171X=X0+T1*COS(θ1+π）ZH(y)498827.7193Y=Y0+T1*SIN(θ1+π）HZ(X)858674.3936X=X0+T1*COS(θ2)HZ(Y)498784.833Y=Y0+T1*SIN(θ2)HY(X)857678.3662HY(Y)498745.2774θθ=θ1+i*l^2/(2*ls*R)待求点切线方位角YH(X)858497.6557YH(Y)498715.1738θθ=θ1-i*l^2/(2*ls*R)待求点切线方位角待求点支距坐标x待求点支距坐标yX=XHZ+x*COS(θ2+π)+y*sin(θ2+l*π/2）Y=YHZ+x*SIN(θ2+π)-y*cos(θ2+l*π/2）x=l-l^5/(40*R^2*ls^2)（缓和曲线上）y=l^3/(6*R*ls)-l^7/(336R^3*ls^3)（缓和曲线上）X=XZH+x*COS(θ1)+y*sin(θ1）Y=YZH+x*SIN(θ1)-y*cos(θ1）交点大地坐标待求点支距坐标xx=q-R*SIN(Ψ)（圆曲线上）待求点支距坐标yy=p+R*（1-cos(Ψ))（圆曲线上）ΨΨ=(ls/2R)-(l-ls)/R（圆曲线上）度分秒333845转向角α492959线元切线方位角度分秒3338453363252191437223844交点前直线切线角A度分秒方位角θ1333845交点前直线切线角A角度方位角θ2223844度分秒XY直缓点ZH436870.55333845857507.217498827.719缓圆点HY437060.553363252857678.366498745.277圆缓点YH438252.85191437858497.656498715.174缓直点HZ438442.85223844858674.394498784.833计算结果里程本曲线段线元要素汇总表线元切线方位角坐标