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二级公路的路线平面设计案例综述1.1平曲线计算1.1.1方位角及转角计算(1)利用CAD的标注功能查询起点、各交点及终点的坐标,坐标如下:表1.1交点坐标表交点号交点坐标N(X)E(Y)QD3311970.840364772.900JD13312323.30040365052.300JD23313210.50040366417.800JD33313102.10040365203.700ZD3313820.22640365238.406(2)方位角计算起点QD与JD1之间:坐标增量:Dx=3312323.3-3311970.8=352.5Dy=40365052.3-40364772.9=279.399交点间距:象限角:因为Dx>0,Dy>0,故方位角A1=38.401°=38°24′03.6″JD1与JD2之间:坐标增量:Dx=3313210.5-3312323.3=887.200Dy=40366417.8-40365052.3=1365.5交点间距:象限角:因为Dx>0,Dy>0,故方位角A2=56.987°=56°59′13.2″JD2与JD3之间:坐标增量:Dx=3313102.1-3313210.5=-108.399Dy=40365203.7-40366417.8=-1211.099交点间距:象限角:因为Dx<0,Dy<0,故方位角A3=180°+81.898°=261.898°=264°53′52.8″JD3与终点之间:坐标增量:Dx=3313820.226-3313102.1=718.126Dy=40365238.405-40365203.7=31.705交点间距:象限角:因为Dx>0,Dy>0,故方位角A4=2.767°=2°46′01.2″计算转角值:=A2-A1=56°59′13.2″-38°24′03.6″=18°35′09.6″(右)=A3-A2=264°53′52.8″-56°59′13.2″=207°54′39.6″(右)=A4-A3=2°46′01.2″-264°53′52.8″=-262°07′51.6″(左)具体计算结果见表3.2表1.2方位角计算表交点号交点坐标交点桩号转角值直线长度及方向N(X)E(Y)直线

段长(m)交点

间距(m)计算

方位角12345678JD03311970.840364772.9K0+000283.856449.80138°24′01.3″JD13312323.340365052.3K0+449.80118°35′09.6″(Y)731.1581628.40856°59′13.9″JD23313210.540366417.8K2+075.830152°05′21.4″(Z)259.8731218.93264°53′52.5″JD33313102.140365203.7K2+416.31797°52′08.2″(Y)488.214718.9652°46′00.7″JD43313820.22640365238.41K3+0401.1.2平曲线几何元素计算(1)计算图示图1.1平曲线几何元素图(2)计算公式(1.1)(1.2)(1.3)(1.4)(1.5)(1.6)(1.7)(3)计算各要素①JD1交点桩号为K0+449.801,设计速度为60km/h,圆曲线半径为800m,缓和曲线长度为70m,转角为18°35′09.6″(Y),平曲线几何要素计算如下:图1.2平曲线1示意图切线增值:内移值:缓和曲线角:切线长:平曲线长:圆曲线长:外矢距:切曲差:经检验无误。经其计算结果详见1.3平曲线几何要素计算表。表1.3平曲线几何要素计算表交点R(m)α(°)Ls(m)q(m)p(m)β(°)L(m)T(m)E(m)JD180018.5867031.9980.2552.507329.509165.94410.898JD2150152.08918088.9208.87031.377578.169728.232508.756JD315097.86911051.7543.34321.008366.220230.74783.4261.1.3主点桩号计算(1)计算公式ZH=JD-T(3.8)HY=ZH+Ls(3.9)YH=HY+Ly(3.10)HZ=YH+Ls(3.11)QZ=HZ-L/2(3.12)(2)各主点桩号计算①JD1交点桩号为K0+449.801,已知该圆曲线平曲线几何要素,主点桩号计算如下ZH=JD1-T=(K0+449.801)-165.944=K0+283.856HY=ZH+Ls=(K0+283.856)+70=K0+353.856YH=HY+Ly=(K0+353.856)+189.509=K0+543.366HZ=YH+Ls=(K0+543.366)+70=K0+613.366QZ=HZ-L/2=(K0+613.366)+329.509/2=K0+448.611JD1=QZ+J/2=(K0+448.611)+2.379/2=K0+449.801②JD2交点桩号为K2+075.830,已知该圆曲线平曲线几何要素,主点桩号计算如下ZH=JD2-T=(K2+075.830)-728.232=K1+347.524HY=ZH+Ls=(K1+347.524)+180=K1+527.524YH=HY+Ly=(K1+527.524)+218.169=K1+745.693HZ=YH+Ls=(K1+745.693)+180=K1+925.693QZ=HZ-L/2=(K1+925.693)+578.169/2=K1+636.609JD2=QZ+J/2=(K1+636.609)+878.296/2=K2+075.830③JD3交点桩号为K2+416.317,已知该圆曲线平曲线几何要素,主点桩号计算如下。ZH=JD3-T=(K2+416.317)-230.747=K2+185.566HY=ZH+Ls=(K2+185.566)+110=K2+295.566YH=HY+Ly=(K2+295.566)+146.22=K2+441.786HZ=YH+Ls=(K2+441.786)+110=K2+551.786QZ=HZ-L/2=(K2+551.786)+366.22/2=K2+368.676JD3=QZ+J/2=(K2+368.676)+95.275/2=K2+416.317经检验,各交点桩号无误,其计算结果详见表1.4平曲线桩号计算表。表1.4平曲线桩号计算表交点号交点桩号曲线主点桩号第一缓和曲线第一缓和曲线终曲线中点第二缓和曲线起第二缓和曲线起点点或圆曲线起点点或圆曲线终点终点1234567JD0K0+000JD1K0+449.801K0+283.856K0+353.856K0+448.611K0+543.366K0+613.366JD2K2+075.830K1+347.524K1+527.524K1+636.609K1+745.693K1+925.693JD3K2+416.317K2+185.566K2+295.566K2+368.676K2+441.786K2+551.786JD4K3+0401.1.4逐桩坐标表本路面设计的逐桩坐标表如下表1.5所示:表1.5逐桩坐标表桩号坐标桩号坐标N(X)E(Y)N(X)E(Y)K0+0003311970.840364772.9K0+448.6113312315.2440365059.64K0+0203311986.47440364785.32K0+4603312322.84640365068.11K0+040331200275K0+4803312335.90740365083.26K0+0603312017.82140364810.17K0+5003312348.58540365098.72K0+0803312033.49440364822.59K0+5203312360.87340365111.5K0+1003312049.16840364835.02K0+5403312372.76340365130.59K0+1203312061.84240364847.44K0+543.3663312371.72440365133.32K0+1403312080.51540364859.86K0+5603312381.25840365146.95K0+160331209629K0+5803312395.4440365163.53K0+1803312111.86240364881.71K0+6003312406.42340365180.25K0+2003312127.53640364897.13K0+613.3663312413.71140365191.45K0+2203312143.2140364909.56K0+6203312417.32540365197.02K0+2403312158.88340364921.98K0+6403312428.22240365213.79K0+2603312171.55740364931.4K0+6603312439.11840365230.56K0+2803312190.23140364946.83K0+6803312450.01540365247.33K0+283.8563312193.25340364949.22K0+7003312460.91140365261.1K0+3003312205.89640364959.26K0+7203312471.80840365280.87K0+3203312221.4940364971.78K0+7403312482.70440365297.64K0+3403312236.92140364981.51K0+7603312493.60140365311.41K0+353.8563312247.46640364993.49K0+7803312501.49740365331.18K0+3603312252.09340364997.54K0+8003312515.39440365347.95K0+3803312266.94140365010.93K0+8203312526.2940365361.73K0+4003312281.44940365021.7K0+84033125375K0+4203312295.60840365038.82K0+8603312548.08440365398.27K0+4403312309.4140365053.3K0+8803312558.9840365415.04K0+9003312569.87740365431.81K1+3803312831.5740365831.2K0+9203312580.77340365448.58K1+4003312843.0340365850.59K0+9403312591.6740365465.35K1+4203312855.11840365866.52K0+9603312602.56640365482.12K1+4403312868.04340365881.78K0+9803312613.46340365498.89K1+4603312881.9840365896.11K1+0003312621.35940365515.66K1+4803312897.06140365909.24K1+0203312635.25640365532.43K1+5003312913.35340365920.82K1+040331264621K1+5203312930.84540365930.5K1+0603312657.04940365565.98K1+527.5243312937.71740365933.56K1+0803312667.94540365582.75K1+5403312949.4240365937.87K1+1003312678.84240365599.52K1+5603312968.80940365942.71K1+1203312689.73840365616.29K1+5803312988.6740365941.94K1+1403312700.63540365633.06K1+6003313008.65140365941.5K1+1603312711.53140365649.83K1+6203313028.39640365941.41K1+1803312722.42840365666.6K1+636.6093313041.36240365936.87K1+2003312733.32540365683.37K1+6403313047.55540365935.72K1+2203312741.22140365700.14K1+6603313065.78740365927.54K1+2403312755.11840365716.92K1+6803313082.7740365917K1+2603312766.01440365733.69K1+7003313098.20240365901.31K1+2803312776.91140365750.46K1+7203313111.80940365889.67K1+3003312787.80740365767.23K1+7403313123.34940365873.35K1+3203312798.70440365784K1+745.6933313126.22640365868.44K1+3403312809.640365800.77K1+7603313132.63440365855.65K1+347.5243312813.740365807.08K1+7803313139.68440365836.95K1+3603312820.50740365817.53K1+8003313141.67940365817.59K1+8203313147.85340365797.85K2+2803313122.71340365339.41K1+8403313149.47440365777.92K2+295.5663313126.23240365321.25K1+8603313149.82740365757.93K2+3003313127.5140365320.01K1+8803313149.20840365737.94K2+3203313131.80940365301.4K1+9003313147.91240365717.98K2+3403313141.51640365283.93K1+9203313146.23740365698.05K2+3603313156.45940365267.91K1+925.6933313145.73140365692.38K2+368.6763313162.28440365261.48K1+9403313141.45940365678.13K2+3803313170.42740365253.61K1+9603313142.6840365658.21K2+4003313186.1740365241.3K1+9803313140.90240365638.29K2+4203313203.41140365231.2K2+0003313139.12340365618.37K2+4403313221.84240365223.47K2+0203313137.34540365598.45K2+441.7863313223.53540365222.9K2+0403313135.56640365578.53K2+4603313241.12340365218.2K2+0603313133.78740365558.6K2+4803313260.87440365215.11K2+0803313132.00940365538.68K2+5003313280.82240365213.74K2+1003313130.2340365518.76K2+5203313300.8240365213.63K2+1203313128.45240365498.84K2+5403313320.80940365211.29K2+1403313126.67340365478.92K2+551.7863313332.58240365211.84K2+1603313121.89440365459K2+5603313340.78640365215.24K2+

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