圆曲线坐标计算公式B=180/nxL/R（L=BnR/180）弧长公式B为圆心角X=sinBXRY=（1-cosB）XRC=弦长X=X1+cos（a卩/2）xCY=Y1+sin（a卩/2）xCB代表偏角，（既弧上任一点所对的圆心角）。卩/2是所谓的偏角（弦长与切线的夹角）AX、Y代表增量值。X、Y代表准备求的坐标。XI、Y1代表起算点坐标值。a代表起算点的方位角。R代表曲线半径缓和曲线坐标计算公式B=L2/2RLsx180/nC=L-L5/90R2LS2SX=X1+cos（ap/3）xCY=Y1+sin（a卩/3）xCL代表起算点到准备算的距离。LS代表缓和曲线总长。X1、Y1代表起算点坐标值。直线坐标计算公式X=X1+cosaxLY=Y1+sinaxLX1、Y1代表起算点坐标值a代表直线段方位角。L代表起算点到准备算的距离。左右边桩计算方法X边-X中+cos（a90）XLY边=丫中+sin（a90）XL在计算左右边桩时，先求出中桩坐标，在用此公式求左右边桩。如果在线路方向左侧用中桩方位角减去90，线路右侧加90，乘以准备算的左右宽度。例题:直线坐标计算方法a（方位角）=182147X1=84817.831Y1=352.177起始里程DK184+714.029求DK186+421.02里程坐标解:根据公式X=Xl+cosaXLX=84817.831+COS182147X(86421.0284714.029)=86437.901Y=Yl+sinaxLY=352.177+sin182147X(86421.0284714.029)=889.943求DK186+421.02里程左右边桩，左侧3.75m,右侧7.05m.解:根据公式线路左侧计算:X边-X中+cos(a90)XLX边=86437.901+cos(182147-90)X3.75=86439.082Y 边=丫中+sin(a90)XLY 边=889.943+sin(182147-90)X3.75=886.384线路右侧计算:X边-X中+cos(a90)XLX边=86437.901+cos(182147+90)X7.05=86435.680Y边=丫中+sin(a90)XLY 边=889.943+sin(182147+90)X7.05=896.634例题:缓和曲线坐标计算方法a(ZH点起始方位角)=182147X1=86437.901Y1=889.941起始里程DK186+421.02曲线半径2500缓和曲线长120m求HY点坐标，也可以求ZH点到HY点任意坐标解:根据公式B=L2/2RLSX180/nB=1202/(2X2500X120)X(180/n)=12230.36C=L-L5/90R2LS2C=120-1205/(90x25002x1202)=119.997X=Xl+cos(ap/3)xCX=86437.901+cos(182147-12230.36X119.997=86552.086Y=Y1+sin(ap/3)xCY=889.941+sin(182147-12230.36/3)X119.997=926.832求DK186+541.02里程左右边桩，左侧3.75m,右侧7.05m.解:根据公式线路左侧计算:X边-X中+cos(a90)XLX边=86552.086+cos(182147-12230.36)-90X3.75=86553.182Y 边=丫中+sin(a90)XLY 边=926.832+sin(182147-12230.36)-90X3.75=923.246线路右侧计算:X边-X中+cos(a90)XLX边=86552.086+cos(182147-12230.36)+90X7.05=86550.026Y 边=丫中+sin(a90)XLY 边=926.832+sin(182147-12230.36)+90X7.05=933.574缓和曲线方位角计算方法a=(起始方位角土B偏角)=182147-12230.36=165916.64注:缓和曲线在计算坐标时，此公式只能从两头往中间推,只能从ZH点往HY点推,HZ点往YH点推算，如果YH往HZ点推算坐标，公式里的B为B2/3.例题:圆曲线坐标计算方法a(HY点起始方位角)=165916.64Xl=86552.086Yl=926.832曲线半径2500曲线长748.75起始里程DK186+541.02求YH点坐标，也可以求QZ点坐标或任意圆曲线一点坐标.解:根据公式B=180/nXL/RB=180/nX748.75/2500=170936.31X=sinBXRX=sin170936.31X2500=737.606Y=(1-cosB)XRY=(1-cos170936.31)X2500=111.290C=弦长C=745.954X=Xl+cos(ap/2)xCX=86552.086+cos(165916.64+360-170936.31/2)X745.954=87290.023Y=Yl+sin(ap/2)xCY=926.832+sin(165916.64+360-170936.31/2)X745.954=1035.905圆曲线方位角计算方法a=(起始方位角土B偏角)=165916.64+360-170936.31=3594940.33求DK187+289.77里程左右边桩，左侧3.75m,右侧7.05m.解:根据公式线路左侧计算:X边-X中+cos(a90)XLX边=87290.023+cos(3594940.33-90)X3.75=87290.012Y 边=丫中+sin(a90)XLY 边=1035.905+sin(3594940.33-90)X3.75=1032.155线路右侧计算:X边-X中+cos(a90)XLX边=87290.023+cos(3594940.33+90)X7.05=87290.044Y 边=丫中+sin(a90)XLY 边=1035.905+sin(3594940.33+90)X7.05=1042.955