公路极坐标法放样计算表
Excel-高速线路放线计算表(原件)
K29+760.00 K29+780.00 K29+800.00 K29+820.00 K29+840.00 K29+860.00 K29+880.00 K29+900.00 K29+920.00 K29+940.00 K29+960.00
中 中 中 中 中 中 中 中 中 中 中 测站点坐标 B5
计算距离 （m ）
#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?
计算角度 (° ′ ″) #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? 实测水平距离 实测方位角W=
#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?
佛山市盛建公路工程监理有限公司 广东华路交通科技有限公司 计算水 竖盘 距离读 平 读数 实测距离 数 度盘读 (° （m） （m） 数 ′ ″) (° ′ #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? AB=277.166 312°16′35″ 草 图
GTS-102N 实测角度 (° ′″)
X=2562248.071 X=2562434.523 AB=277.166
Y=491191.298 Y=49标 G6 距 离
对 点 观 测 数 据
自检 意见
道路放样坐标计算
全站仪道路放样、方位角及左右偏移坐标计算（直线、缓与曲线<南方NTS-362R6L>）一、根据直线、曲线要素表列1：JD5—x=4340430、518 JD6—x=4339782、179y=441418、4621 y=441651、8123方位角计算=POl（4339782、179-4340430、518，441651、8123-441418、4621 r=689、0543Θ=160、2051794 转160°12″18、65′∴JD5—JD6直线段长689、0543m,方位角=160°12″18、65′，已知JD5半径=1500，曲线长度248、7908;(JD5桩号K3+328、548，JD6桩号K4+017、030）利用全站仪进行道路放样：选择程序——道路——水平定线——（新建水平定线文件）——起始点（输入桩号3328、548，坐标JD5）——水平定线（1、直线-方位角160°12′19″ 2、圆弧—半径1500，弧长497、58 3、缓与曲线-半径1500，弧长497、58）——道路放样——选择文件（水平定线）——设置放样点（依次输入起始桩号-桩间距-左偏差-右偏差）——放样《DHR角度值，HD 水平距离》（编辑可以桩号可放样任意一点坐标，编辑偏差左右偏移“左负右正”）见附图二、道路坐标计算(列1）JD5——JD6坐标计算{x+Cos(方位角)*距离} {y+Sin(方位角)*距离JD6X=4340430、518+Cos（160、2052）*689、0543=4339782、179JD6Y=441418、4621+Sin(160、2052)*689、0543=441651、8121三、坐标距离计算2（列1）JD5—JD6其之间得距离计算【根号下{（JD6Y-JD5Y）²+（JD6X-JD5X）²}】如下：（441651、8123-441418、4621）+（4339782、179 -4340430、518 ）=233、3502 =-648、339=（233、3502²+648、339²）=689、0543m四、坐标左右偏移计算（列1）公式=x+Cos（角度+-90°）*距离 y+Sin（角度+-90°）*距离JD5-JD6之间K3+700—x=4340081、014Y=441544、255右偏13、5坐标X=4340081、014+cos（160°12″18、65′+90°）*13、5=4340076、445Y=441544、255+sin（160°12″18、65′+90°）*13、5=441531、553左偏8、15m坐标X=4340081、014+cos（160°12″18、65′-90°）*8、15=4340083、774Y=441544、255+sin（160°12″18、65′-90°）*8、15=441551、923（左负右正）五、假设坐标假设A1x=1000 y=1000 z=1000 自由定点假如A1-A2实际尺量为4、525m，则A2坐标为X=1000， Y=1004、525六、钢管重量计算列：无缝钢管DN100，壁厚4mm，外径￠108（计算公式=外径—壁厚）*壁厚*系数∴dn100无缝钢管每米重量=（108-4）*4*0、02466=10、26kg七、钢板重量计算（计算公式=厚度*宽度*长度*系数）列：钢板厚20mm，宽2000mm，长10000mm则重量等于：0、02*2*10*7、85=3、14t本文档仅限于各位同行交流与学习，如有不足之处还望与各位互相探讨、交流、、、微信、qq号：583159136 雷2017年8月28日附图。
第三章第二节 公路中桩、边桩放样
第二节公路中桩、边桩放样一、本节重点1．已知平面点位的放样2．已知设计坡度线的放样二、本节难点1．极坐标法2．角度交会法3．距离交会法公路中桩、边桩施工放样就是将图纸上设计的建筑物、构筑物的特征点的空间位置标定到实地上，它包括平面定位和高程定位两个方面。
施工放样的基本工作是距离放样、水平角放样和高程放样。
1．平面定位可分解为已知距离放样和已知水平角放样两项基本工作。
已知距离放样可采用钢尺丈量或全站仪(测距仪)测距两种方法。
已知高程点的放样主要采用水准测量的方法，当放样点过高或过低，超出水准尺的工作长度时，则需借助钢尺量取垂距。
2．用极坐标法放样平面点位时，先以已知方向为基准，拨已知水平角得放样点方向，再沿该方向量测已知水平距离即可定出放样点位置。
3．用角度交会法放样平面点位时，先在两个控制点分别拨角定出方向线，两方向线的交会点即是放样点的位置。
4．用距离交会法放样平面点位时，是利用放样点至两已定点的距离，用钢尺(或皮尺)分别按已知距离在实地画弧，两弧线的交点即是放样点。
5．已知坡度线的放样方法是：先根据坡段两端点的高程，用已知高程放样的方法定出其位置，在其中一点安置仪器，在另一点立水准尺，照准水准尺上读数为仪器高处，此时视线与已知坡度线平行，将水准尺移至该坡段的其他位置，上下移动水准尺，只要十字丝横丝对准仪器高处，尺底即在设计坡度线上。
一基本放样方法一、已知距离的放样距离放样是在量距起点和量距方向确定的条件下，自量距起点沿量距方向丈量已知距离定出直线另一端点的过程。
根据地形条件和精度要求的不同，距离放样可采用不同的丈量工具和方法，通常精度要求不高时可用钢尺或皮尺量距放样，精度要求高时可用全站仪或测距仪放样。
1．尺量法距离放样当距离值不超过一尺段时，由量距起点沿已知方向拉平尺子，按已知距离值在实地标定点位。
如果距离较长时，则按第四章第一节钢尺量距的方法，自量距起点沿已知方向定线、依次丈量各尺段长度并累加，至总长度等于已知距离时标定点位。
公路坐标计算
点号XY点号XY象 限 角1（°）中桩3894484.660388348.7103894583.003388449.1545.603545048.00 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视测 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FALSE0.00000放样角度放样角度°°′″(°′″)225°36′13″141.67266276.0691227649276°4′9″639.037341°33′54″206.5650522522500225°0′0″4.472347°8′9″80.1075692.971892581892°58′18″206.055161°23′19″298.88531137.496741372948120°38′46.3″137°29′48″244.269161°23′19″298.72833137.339761372023120°38′46.3″137°20′23″224.279161°23′19″298.54064137.1520713797120°38′46.3″137°9′7″204.29161°23′19″298.31224136.923671365525120°38′46.3″136°55′25″184.306161°23′19″298.02829136.639721363823120°38′46.3″136°38′23″164.325161°23′19″297.66573136.277171361638120°38′46.3″136°16′38″144.349161°23′19″297.18674135.798181354753120°38′46.3″135°47′53″124.380161°23′19″296.52461135.136********120°38′46.3″135°8′10″104.424161°23′19″120°38′46.3″133°37′44″94.452161°23′19″295.54981134.16124134940120°38′46.3″134°9′40″84.488161°23′19″120°38′46.3″133°37′44″76.755161°23′19″293.97374132.58517132357120°38′46.3″132°35′7″64.591161°23′19″120°38′46.3″121°59′31″56.073161°23′19″290.99962129.611051293640120°38′46.3″129°36′40″44.787161°23′19″120°38′46.3″°′″34.969161°23′19″283.38546121.996891215949120°38′46.3″121°59′49″25.293161°23′19″321.80889209.975932095833120°38′46.3″209°58′33″25.056161°23′19″145.98723344.598673443555120°38′46.3″344°35′55″17.533111°49′59″#REF!#REF!#REF!#REF!#REF!120°38′46.3″18.934111°49′59″106.77536354.94243545633120°38′46.3″354°56′33″37.734111°49′59″111.57088359.737923594416120°38′46.3″359°44′16″57.351111°49′59″113.9138 2.08083352451120°38′46.3″2°4′51″77.166111°49′59″115.298 3.465037232754120°38′46.3″3°27′54″97.056111°49′116.211014.378044242241120°38′4°22′41116.984放样距离（m）起始方位角（°′″）放样点方位角放样角度中线方位角（°′″）111°49′59″116.858125.025********120°38′46.3″5°1′31″136.933111°49′59″117.340625.507654253028120°38′46.3″5°30′28″156.895111°49′59″120°38′46.3″°′″166.879111°49′59″117.714185.881211555252120°38′46.3″5°52′52″176.865111°49′59″118.011926.178958561044120°38′46.3″6°10′44″196.842111°49′59″118.2548 6.421834562519120°38′46.3″6°25′19″216.822111°49′59″118.456686.623721163725120°38′46.3″6°37′25″236.806111°49′59″118.627156.794183364739120°38′46.3″6°47′39″256.793120°38′46.3″266.787111°49′59″118.772996.940025965624120°38′46.3″6°56′24″276.781111°49′59″118.899197.0662*******120°38′46.3″7°3′58″296.771111°49′59″119.009457.176489571035120°38′46.3″7°10′35″316.763111°49′59″119.075667.242698371434120°38′46.3″7°14′34″330.116111°49′59″119.174267.341298720297°20′29″336.733111°49′59″119.449067.6160971736587°36′58″356.664111°49′59″119.694777.8618043751427°51′42″376.602111°49′59″119.915768.0827*******8°4′58″396.546111°49′59″120.115598.2826266816578°16′57″416.49651°12′17.63411″160.04407108.84091108502727″23.52251°12′11″143.5669592.36378292215092°21′50″41.41051°12′11″139.0593587.85618187512287°51′22″53.44651°12′11″137.2497786.0466088624886°2′48″60.63351°12′11″133.994382.79113882472882°47′28″80.23751°12′11″132.0210380.8178668049480°49′4″99.99751°12′11″130.6999879.49681579294979°29′49″119.83751°12′11″129.7545778.5514037833578°33′5″139.72351°12′11″129.0448877.84171177503077°50′30″159.63751°12′128.4926777.28950977172277°17′179.571130°29′23″182.3661151.87648651523551°52′35″57.220130°29′23″168.266237.77657737463637°46′36″69.838130°29′23″158.8637128.37409428222728°22′27″85.326130°29′23″152.4659521.97632721583521°58′35″102.390130°29′23″147.9351717.44555517264417°26′44″120.362312°49′45″151.41776198.588681983519198°35′19″#########313°31′15″151.45223197.931321975553197°55′53″#########312°57′14″151.5184198.564651983353198°33′53″#########317°1′38″151.40926194.382091942256194°22′56″#########315°16′3″151.51638196.248811961456196°14′56″#########313°33′49″151.62796198.06433198352198°3′52″#########312°13′50″151.75618199.525561993132199°31′32″#########310°40′3″151.88201.212542011245201°12′45″#########309°17′10″152.01141202.725372024331202°43′31″#########308°7′59″152.13972204.00679204024204°0′24″#########310°21′49″152.05304201.689492014122201°41′22″#########310°48′49″152.08721201.27372011625201°16′25″#########310°49′32″152.13454201.308962011832201°18′32″#########311°46′1″152.13003200.363152002147200°21′47″#########311°50′8″152.18116200.345662002044200°20′44″#########135°33′32″151.2567615.69777415415215°41′52″#########136°28′3″151.2525814.7851921447714°47′7″#########137°23′28″151.321513.93033613554913°55′49″#########137°51′46″151.3940313.53129713315313°31′53″#########136°33′57″151.5111714.94527214564314°56′43″#########137°10′20″151.5152414.34291214203414°20′34″#########134°42′21″151.6817416.97599516583416°58′34″#########135°0′9″151.7402516.73765716441616°44′16″#########135°27′50″151.7519316.28814716171716°17′17″#########136°4′151.7553615.67344115402415°40′#########135°47′30″151.8314616.0398*******16°2′23″#########135°14′43″151.9342416.68887116412016°41′20″#########135°25′56″151.957416.52525916313116°31′31″#########135°0′0″7.6534043232.65342323912232°39′12″#########0°0′0″7.65368877.6536887739137°39′13″#########0°0′0″7.6539647.653964739147°39′14″#########0°0′0″7.65423927.6542392739157°39′15″#########0°0′0″7.65451457.6545145739167°39′16″#########0°0′0″7.65478987.6547898739177°39′17″#########0°0′0″7.65506517.6550651739187°39′18″#########0°0′0″7.65534047.6553404739197°39′19″#########0°0′0″7.65561577.6556157739207°39′20″#########0°0′0″7.6558917.655891739217°39′21″#########0°0′0″7.65616637.6561663739227°39′22″#########0°0′0″7.65644167.6564416739237°39′23″#########0°0′0″7.65671697.6567169739247°39′24″#########0°0′0″7.65699227.6569922739257°39′25″#########0°0′0″7.65704367.6570436739257°39′25″#########0°0′0″7.65712087.6571208739267°39′26″#########0°0′0″7.65726767.6572676739267°39′26″#########0°0′0″7.65754297.6575429739277°39′27″#########0°0′0″7.65781827.6578182739287°39′28″#########0°0′0″7.65809357.6580935739297°39′29″#########0°0′0″7.65836887.6583688739307°39′30″#########0°0′0″7.65864417.6586441739317°39′31″#########0°0′0″7.65891947.6589194739327°39′32″#########0°0′0″7.65919477.6591947739337°39′33″#########0°0′0″7.65947017.6594701739347°39′34″#########0°0′0″7.65974547.6597454739357°39′35″#########0°0′0″7.66002077.6600207739367°39′36#########0°0′0″7.6602967.660296739377°39′37″#########0°0′0″7.66057137.6605713739387°39′38″#########0°0′0″7.66084677.6608467739397°39′39″#########0°0′0″7.66111327.6611132739407°39′40″#########0°0′0″7.6611227.661122739407°39′40″#########0°0′0″7.66139737.6613973739417°39′41″#########0°0′0″7.6614867.661486739417°39′41″#########0°0′0″7.66167267.6616726739427°39′42″#########0°0′0″7.6619487.661948739437°39′43″#########0°0′0″7.66222337.6622233739447°39′44″#########0°0′0″7.66249867.6624986739457°39′45″#########0°0′0″7.6627747.662774739467°39′46″#########0°0′0″7.66304937.6630493739477°39′47″#########0°0′0″7.66332467.6633246739487°39′48″#########0°0′0″7.66367.6636739497°39′49″#########0°0′0″7.66387537.6638753739507°39′50″#########0°0′0″7.66415067.6641506739517°39′51″#########0°0′0″7.6644267.664426739527°39′52″#########0°0′0″7.66470137.6647013739537°39′53″#########0°0′0″7.66497677.6649767739547°39′54″#########0°0′0″7.6652527.665252739557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0°0′0″00000°0′0″######### 0°0′0″00000°0′0″######### 0°0′0″00000°0′0″######### 0°0′0″00000°0′0″######### 0°0′0″00000°0′0″######### 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.0000°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000 0°0′0″00000°0′0″0.000。
道路坐标计算表(有公式)
逐 桩 坐 标 表ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离8525.8823590080.3521849.9370.000173.78-909083.8263.780 3.033 1.46 4.60412 8525.8823590080.3521849.93714.120.324173.78-909083.8263.780.0056 3.033 1.46 4.60412 8525.8823590080.3521849.93734.120.782173.78-909083.8263.780.0136 3.033 1.46 4.60412 8525.8823590080.3521849.93754.12 1.24173.78-909083.8263.780.0216 3.033 1.46 4.60412 8525.8823590080.3521849.93774.12 1.699173.78-909083.8263.780.0296 3.033 1.46 4.60412 8525.8823590080.3521849.93794.12 2.157173.78-909083.8263.780.0376 3.033 1.46 4.60412 8525.8823590080.3521849.937114.12 2.615173.78-909083.8263.780.0456 3.033 1.46 4.60412 8525.8823590080.3521849.937134.12 3.074173.78-909083.8263.780.0536 3.033 1.46 4.60412 8525.8823590080.3521849.937154.12 3.532173.78-909083.8263.780.0616 3.033 1.46 4.60412 8525.8823590080.3521849.937174.12 3.99173.78-909083.8263.780.0696 3.033 1.46 4.60412 8525.8823590080.3521849.937194.12 4.449173.78-909083.8263.780.0776 3.033 1.46 4.60412 8525.8823590080.3521849.937214.12 4.907173.78-909083.8263.780.0856 3.033 1.46 4.60412 8525.8823590080.3521849.937234.12 5.366173.78-909083.8263.780.0936 3.033 1.46 4.60412 8525.8823590080.3521849.937254.12 5.824173.78-909083.8263.780.1016 3.033 1.46 4.60412 8525.8823590080.3521849.937274.12 6.282173.78-909083.8263.780.1096 3.033 1.46 4.60412 8525.8823590080.3521849.937294.12 6.741173.78-909083.8263.780.1176 3.033 1.46 4.60412 8525.8823590080.3521849.937314.127.199173.78-909083.8263.780.1256 3.033 1.46 4.60412 8525.8823590080.3521849.937334.127.657173.78-909083.8263.780.1336 3.033 1.46 4.60412 8525.8823590080.3521849.937354.128.116173.78-909083.8263.780.1416 3.033 1.46 4.60412 8525.8823590080.3521849.937374.128.574173.78-909083.8263.780.1496 3.033 1.46 4.6047.995 8525.8823590080.3521849.937394.129.033173.78-909083.8263.780.1576 3.033 1.46 4.6047.995 8525.8823590080.3521849.937414.129.491173.78-909083.8263.780.1656 3.033 1.46 4.6047.995 8525.8823590080.3521849.937434.129.949173.78-909083.8263.780.1736 3.033 1.46 4.6047.995 8525.8823590080.3521849.937454.1210.41173.78-909083.8263.780.1816 3.033 1.46 4.6047.995 8525.8823590080.3521849.937474.1210.87173.78-909083.8263.780.1896 3.033 1.46 4.6047.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离8525.8823590080.3521849.937494.1211.32173.78-909083.8263.780.1976 3.033 1.46 4.6047.995 8525.8823590080.3521849.937514.1211.78173.78-909083.8263.780.2056 3.033 1.46 4.6047.995 8525.8823590080.3521849.937534.1212.24173.78-909083.8263.780.2136 3.033 1.46 4.6047.995 8525.8823590080.3521849.937554.1212.7173.78-909083.8263.780.2216 3.033 1.46 4.6047.995 8525.8823590080.3521849.937574.1213.16173.78-909083.8263.780.2296 3.033 1.46 4.6047.995 8525.8823590080.3521849.937594.1213.62173.78-909083.8263.780.2376 3.033 1.46 4.6047.995 8525.8823590080.3521849.937614.1214.07173.78-909083.8263.780.2456 3.033 1.46 4.6047.995 8525.8823590080.3521849.937634.1214.53173.78-909083.8263.780.2536 3.033 1.46 4.6047.995 8525.8823590080.3521849.937654.1214.99173.78-909083.8263.780.2616 3.033 1.46 4.6047.995 8525.8823590080.3521849.937674.1215.45173.78-909083.8263.780.2696 3.033 1.46 4.6047.995 8525.8823590080.3521849.937694.1215.91173.78-909083.8263.780.2776 3.033 1.46 4.6047.995 8525.8823590080.3521849.937714.1216.37173.78-909083.8263.780.2856 3.033 1.46 4.6047.995 8525.8823590080.3521849.937734.1216.82173.78-909083.8263.780.2936 3.033 1.46 4.6047.995 8525.8823590080.3521849.937754.1217.28173.78-909083.8263.780.3016 3.033 1.46 4.6047.995 8525.8823590080.3521849.937774.1217.74173.78-909083.8263.780.3096 3.033 1.46 4.6047.995 8525.8823590080.3521849.937775.4817.77173.78-909083.8263.780.3102 3.033 1.46 4.6047.995 ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离9301.3663589309.378521933.927300018.6340.356173.781-909084.1264.140.0062 3.033 1.47 4.617.995 9301.3663589309.378521933.927300038.6340.738173.781-909084.5264.520.0129 3.033 1.48 4.6177.995 9301.3663589309.378521933.927300058.634 1.12173.781-909084.9264.90.0195 3.033 1.48 4.6237.995 9301.3663589309.378521933.927300078.634 1.502173.781-909085.3265.280.0262 3.033 1.49 4.637.995 9301.3663589309.378521933.927300098.634 1.884173.781-909085.7265.670.0329 3.033 1.5 4.6377.995 9301.3663589309.378521933.9273000118.634 2.266173.781-909086266.050.0395 3.033 1.5 4.6437.995 9301.3663589309.378521933.9273000138.634 2.648173.781-909086.4266.430.0462 3.033 1.51 4.657.995 9301.3663589309.378521933.9273000158.634 3.03173.781-909086.8266.810.0529 3.033 1.52 4.6577.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离9301.3663589309.378521933.9273000178.634 3.412173.781-909087.2267.190.0595 3.033 1.52 4.6637.995 9301.3663589309.378521933.9273000198.634 3.794173.781-909087.6267.580.0662 3.033 1.53 4.677.995 9301.3663589309.378521933.9273000218.634 4.176173.781-909088267.960.0729 3.033 1.54 4.6777.995 9301.3663589309.378521933.9273000238.634 4.558173.781-909088.3268.340.0795 3.033 1.54 4.6837.995 9301.3663589309.378521933.9273000258.634 4.94173.781-909088.7268.720.0862 3.033 1.55 4.697.995 9301.3663589309.378521933.9273000278.634 5.322173.781-909089.1269.10.0929 3.033 1.56 4.6977.995 9301.3663589309.378521933.9273000298.634 5.703173.781-909089.5269.490.0995 3.033 1.56 4.7037.995 9301.3663589309.378521933.9273000318.634 6.085173.781-909089.9269.870.1062 3.033 1.57 4.717.995 9301.3663589309.378521933.9273000338.634 6.467173.781-909090.2270.250.1129 3.033 1.58 4.7177.995 9301.3663589309.378521933.9273000353.727 6.756173.781-909090.5270.540.1179 3.033 1.58 4.7227.995 9655.0933588956.29521951.441 4.910.112180.54-909090.5270.540.002 3.151 1.58 4.7227.995 9655.0933588956.29521951.44124.910.571180.54-909090.5270.540.01 3.151 1.58 4.7227.995 9655.0933588956.29521951.44144.91 1.029180.54-909090.5270.540.018 3.151 1.58 4.7227.995 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11357.5093587294.73522265.75262.49 6.016172.54-909082.5262.540.105 3.011 1.44 4.5827.995 11357.5093587294.73522265.75282.49 6.474172.54-909082.5262.540.113 3.011 1.44 4.5827.995 11357.5093587294.73522265.75302.49 6.933172.54-909082.5262.540.121 3.011 1.44 4.5827.995 11357.5093587294.73522265.75322.497.391172.54-909082.5262.540.129 3.011 1.44 4.5827.995 11357.5093587294.73522265.75342.497.849172.54-909082.5262.540.137 3.011 1.44 4.5827.995 11357.5093587294.73522265.75362.498.308172.54-909082.5262.540.145 3.011 1.44 4.5827.995 11357.5093587294.73522265.75382.498.766172.54-909082.5262.540.153 3.011 1.44 4.5827.995 11357.5093587294.73522265.75402.499.224172.54-909082.5262.540.161 3.011 1.44 4.5827.995 11357.5093587294.73522265.75422.499.683172.54-909082.5262.540.169 3.011 1.44 4.5827.995 11357.5093587294.73522265.75442.4910.14172.54-909082.5262.540.177 3.011 1.44 4.5827.995 11357.5093587294.73522265.75462.4910.6172.54-909082.5262.540.185 3.011 1.44 4.5827.995 11357.5093587294.73522265.75482.4911.06172.54-909082.5262.540.193 3.011 1.44 4.5827.995 11357.5093587294.73522265.75502.4911.52172.54-909082.5262.540.201 3.011 1.44 4.5827.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离11357.5093587294.73522265.75522.4911.97172.54-909082.5262.540.209 3.011 1.44 4.5827.995 11357.5093587294.73522265.75542.4912.43172.54-909082.5262.540.217 3.011 1.44 4.5827.995 11357.5093587294.73522265.75562.4912.89172.54-909082.5262.540.225 3.011 1.44 4.5827.995 11357.5093587294.73522265.75582.4913.35172.54-909082.5262.540.233 3.011 1.44 4.5827.995 11357.5093587294.73522265.75602.4913.81172.54-909082.5262.540.241 3.011 1.44 4.5827.995 11357.5093587294.73522265.75609.0113.96172.54-909082.5262.540.2436 3.011 1.44 4.5827.995 11966.5183586690.881522344.859260013.4820.297172.541-909082.8262.830.0052 3.011 1.45 4.5877.995 11966.5183586690.881522344.859260033.4820.738172.541-909083.3263.270.0129 3.011 1.45 4.5957.995 11966.5183586690.881522344.859260053.482 1.179172.541-909083.7263.710.0206 3.011 1.46 4.6037.995 11966.5183586690.881522344.859260073.482 1.619172.541-909084.2264.160.0283 3.011 1.47 4.617.995 11966.5183586690.881522344.859260093.482 2.06172.541-909084.6264.60.036 3.011 1.48 4.6187.995 11966.5183586690.881522344.8592600113.482 2.501172.541-909085265.040.0436 3.011 1.48 4.6267.995 11966.5183586690.881522344.8592600133.482 2.942172.541-909085.5265.480.0513 3.011 1.49 4.6337.995 11966.5183586690.881522344.8592600153.482 3.382172.541-909085.9265.920.059 3.011 1.5 4.6417.995 11966.5183586690.881522344.8592600173.482 3.823172.541-909086.4266.360.0667 3.011 1.51 4.6497.995 11966.5183586690.881522344.8592600193.482 4.264172.541-909086.8266.80.0744 3.011 1.51 4.6577.995 11966.5183586690.881522344.8592600213.482 4.704172.541-909087.2267.240.0821 3.011 1.52 4.6647.995 11966.5183586690.881522344.8592600233.482 5.145172.541-909087.7267.680.0898 3.011 1.53 4.6727.995 11966.5183586690.881522344.8592600253.482 5.586172.541-909088.1268.120.0975 3.011 1.54 4.687.995 11966.5183586690.881522344.8592600273.482 6.027172.541-909088.6268.560.1052 3.011 1.55 4.6877.995 11966.5183586690.881522344.8592600293.482 6.467172.541-9090892690.1129 3.011 1.55 4.6957.995 11966.5183586690.881522344.8592600313.482 6.908172.541-909089.4269.440.1206 3.011 1.56 4.7037.995 11966.5183586690.881522344.8592600333.4827.349172.541-909089.9269.890.1283 3.011 1.57 4.717.995 11966.5183586690.881522344.8592600353.4827.79172.541-909090.3270.330.136 3.011 1.58 4.7187.995 11966.5183586690.881522344.8592600373.4828.23172.541-909090.8270.770.1436 3.011 1.58 4.7267.995 11966.5183586690.881522344.8592600393.4828.671172.541-909091.2271.210.1513 3.011 1.59 4.7337.995 11966.5183586690.881522344.8592600413.4829.112172.541-909091.6271.650.159 3.011 1.6 4.7417.995 11966.5183586690.881522344.8592600433.4829.553172.541-909092.1272.090.1667 3.011 1.61 4.7497.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离11966.5183586690.881522344.8592600453.4829.993172.541-909092.5272.530.1744 3.011 1.61 4.7577.995 11966.5183586690.881522344.8592600457.85710.09172.541-909092.6272.630.1761 3.011 1.62 4.7587.995 12424.3753586234.023522364.15815.630.358182.63-909092.6272.630.0063 3.187 1.62 4.7587.995 12424.3753586234.023522364.15835.630.816182.63-909092.6272.630.0143 3.187 1.62 4.7587.995 12424.3753586234.023522364.15855.63 1.275182.63-909092.6272.630.0223 3.187 1.62 4.7587.995 12424.3753586234.023522364.15875.63 1.733182.63-909092.6272.630.0303 3.187 1.62 4.7587.995 12424.3753586234.023522364.15895.63 2.192182.63-909092.6272.630.0383 3.187 1.62 4.7587.995 12424.3753586234.023522364.158115.63 2.65182.63-909092.6272.630.0463 3.187 1.62 4.7587.995 12424.3753586234.023522364.158135.63 3.108182.63-909092.6272.630.0543 3.187 1.62 4.7587.995 12424.3753586234.023522364.158155.63 3.567182.63-909092.6272.630.0623 3.187 1.62 4.7587.995 12424.3753586234.023522364.158175.63 4.025182.63-909092.6272.630.0703 3.187 1.62 4.7587.995 12424.3753586234.023522364.158195.63 4.483182.63-909092.6272.630.0783 3.187 1.62 4.7587.995 12424.3753586234.023522364.158215.63 4.942182.63-909092.6272.630.0863 3.187 1.62 4.7587.995 12424.3753586234.023522364.158235.63 5.4182.63-909092.6272.630.0943 3.187 1.62 4.7587.995 12424.3753586234.023522364.158255.63 5.858182.63-909092.6272.630.1023 3.187 1.62 4.7587.995 12424.3753586234.023522364.158275.63 6.317182.63-909092.6272.630.1103 3.187 1.62 4.7587.995 12424.3753586234.023522364.158295.63 6.775182.63-909092.6272.630.1183 3.187 1.62 4.7587.995 12424.3753586234.023522364.158315.637.234182.63-909092.6272.630.1263 3.187 1.62 4.7587.995 12424.3753586234.023522364.158335.637.692182.63-909092.6272.630.1343 3.187 1.62 4.7587.995 12424.3753586234.023522364.158355.638.15182.63-909092.6272.630.1423 3.187 1.62 4.7587.995 12424.3753586234.023522364.158375.638.609182.63-909092.6272.630.1503 3.187 1.62 4.7587.995 12424.3753586234.023522364.158395.639.067182.63-909092.6272.630.1583 3.187 1.62 4.7587.995 12424.3753586234.023522364.158415.639.525182.63-909092.6272.630.1663 3.187 1.62 4.7587.995 12424.3753586234.023522364.158435.639.984182.63-909092.6272.630.1743 3.187 1.62 4.7587.995 12424.3753586234.023522364.158455.6310.44182.63-909092.6272.630.1823 3.187 1.62 4.7587.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离12424.3753586234.023522364.158475.6310.9182.63-909092.6272.630.1903 3.187 1.62 4.7587.995 12424.3753586234.023522364.158495.6311.36182.63-909092.6272.630.1983 3.187 1.62 4.7587.995 12424.3753586234.023522364.158515.6311.82182.63-909092.6272.630.2063 3.187 1.62 4.7587.995 12424.3753586234.023522364.158535.6312.28182.63-909092.6272.630.2143 3.187 1.62 4.7587.995 12424.3753586234.023522364.158555.6312.73182.63-909092.6272.630.2223 3.187 1.62 4.7587.995 12424.3753586234.023522364.158575.6313.19182.63-909092.6272.630.2303 3.187 1.62 4.7587.995 12424.3753586234.023522364.158595.6313.65182.63-909092.6272.630.2383 3.187 1.62 4.7587.995 12424.3753586234.023522364.158615.6314.11182.63-909092.6272.630.2463 3.187 1.62 4.7587.995 12424.3753586234.023522364.158635.6314.57182.63-909092.6272.630.2543 3.187 1.62 4.7587.995 12424.3753586234.023522364.158655.6315.03182.63-909092.6272.630.2623 3.187 1.62 4.7587.995 12424.3753586234.023522364.158675.6315.48182.63-909092.6272.630.2703 3.187 1.62 4.7587.995 12424.3753586234.023522364.158695.6315.94182.63-909092.6272.630.2783 3.187 1.62 4.7587.995 12424.3753586234.023522364.158715.6316.4182.63-909092.6272.630.2863 3.187 1.62 4.7587.995 12424.3753586234.023522364.158735.6316.86182.63-909092.6272.630.2943 3.187 1.62 4.7587.995 12424.3753586234.023522364.158755.6317.32182.63-909092.6272.630.3023 3.187 1.62 4.7587.995 12424.3753586234.023522364.158775.6317.78182.63-909092.6272.630.3103 3.187 1.62 4.7587.995 12424.3753586234.023522364.158795.6318.23182.63-909092.6272.630.3183 3.187 1.62 4.7587.995 12424.3753586234.023522364.158815.6318.69182.63-909092.6272.630.3263 3.187 1.62 4.7587.995 12424.3753586234.023522364.158835.6319.15182.63-909092.6272.630.3343 3.187 1.62 4.7587.995 12424.3753586234.023522364.158855.6319.61182.63-909092.6272.630.3423 3.187 1.62 4.7587.995 12424.3753586234.023522364.158875.6320.07182.63-909092.6272.630.3503 3.187 1.62 4.7587.995 12424.3753586234.023522364.158895.6320.53182.63-909092.6272.630.3583 3.187 1.62 4.7587.995 12424.3753586234.023522364.158915.6320.98182.63-909092.6272.630.3663 3.187 1.62 4.7587.995 12424.3753586234.023522364.158935.6321.44182.63-909092.6272.630.3743 3.187 1.62 4.7587.995 12424.3753586234.023522364.158955.6321.9182.63-909092.6272.630.3823 3.187 1.62 4.7587.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离12424.3753586234.023522364.158975.6322.36182.63-909092.6272.630.3903 3.187 1.62 4.7587.995 12424.3753586234.023522364.158995.6322.82182.63-909092.6272.630.3983 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,015.6323.28182.63-909092.6272.630.4063 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,035.6323.73182.63-909092.6272.630.4143 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,055.6324.19182.63-909092.6272.630.4223 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,075.6324.65182.63-909092.6272.630.4303 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,095.6325.11182.63-909092.6272.630.4383 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,115.6325.57182.63-909092.6272.630.4463 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,135.6326.03182.63-909092.6272.630.4543 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,155.6326.48182.63-909092.6272.630.4623 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,175.6326.94182.63-909092.6272.630.4703 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,195.6327.4182.63-909092.6272.630.4783 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,215.6327.86182.63-909092.6272.630.4863 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,235.6328.32182.63-909092.6272.630.4943 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,255.6328.78182.63-909092.6272.630.5023 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,275.6329.24182.63-909092.6272.630.5103 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,295.6329.69182.63-909092.6272.630.5183 3.187 1.62 4.7587.995 12424.3753586234.023522364.1581,302.9729.86182.63-909092.6272.630.5212 3.187 1.62 4.7587.995 13727.343584932.426522304.462260012.660.279182.631-909092.9272.90.0049 3.187 1.62 4.7637.995 13727.343584932.426522304.462260032.660.72182.631-909093.3273.350.0126 3.187 1.63 4.7717.995 13727.343584932.426522304.462260052.66 1.16182.631-909093.8273.790.0203 3.187 1.64 4.7787.995 13727.343584932.426522304.462260072.66 1.601182.631-909094.2274.230.0279 3.187 1.64 4.7867.995 13727.343584932.426522304.462260092.66 2.042182.631-909094.7274.670.0356 3.187 1.65 4.7947.995 13727.343584932.426522304.4622600112.66 2.483182.631-909095.1275.110.0433 3.187 1.66 4.8027.995 13727.343584932.426522304.4622600132.66 2.923182.631-909095.5275.550.051 3.187 1.67 4.8097.995 13727.343584932.426522304.4622600152.66 3.364182.631-909096275.990.0587 3.187 1.68 4.8177.995ZY点或YZ点坐标ZY点或YZ点R L E N左右偏左侧右侧F F弧度E弧度N弧度F弧度F S 桩号X Y半径长度切线角方位角方向左侧右侧左侧右侧横向距离13727.343584932.426522304.4622600172.66 3.805182.631-909096.4276.430.0664 3.187 1.68 4.8257.995 13727.343584932.426522304.4622600192.66 4.246182.631-909096.9276.870.0741 3.187 1.69 4.8327.995 13727.343584932.426522304.4622600212.66 4.686182.631-909097.3277.310.0818 3.187 1.7 4.847.995 13727.343584932.426522304.4622600232.66 5.127182.631-909097.8277.750.0895 3.187 1.71 4.8487.995 13727.343584932.426522304.4622600252.66 5.568182.631-909098.2278.190.0972 3.187 1.71 4.8557.995 13727.343584932.426522304.4622600272.66 6.009182.631-909098.6278.630.1049 3.187 1.72 4.8637.995 13727.343584932.426522304.4622600292.66 6.449182.631-909099.1279.080.1126 3.187 1.73 4.8717.995 13727.343584932.426522304.4622600312.66 6.89182.631-909099.5279.520.1203 3.187 1.74 4.8787.995 13727.343584932.426522304.4622600332.667.331182.631-9090100279.960.1279 3.187 1.74 4.8867.995 13727.343584932.426522304.4622600352.667.772182.631-9090100280.40.1356 3.187 1.75 4.8947.995 13727.343584932.426522304.4622600372.668.212182.631-9090101280.840.1433 3.187 1.76 4.9027.995 13727.343584932.426522304.4622600392.668.653182.631-9090101281.280.151 3.187 1.77 4.9097.995 13727.343584932.426522304.4622600412.669.094182.631-9090102281.720.1587 3.187 1.78 4.9177.995 13727.343584932.426522304.4622600432.669.534182.631-9090102282.160.1664 3.187 1.78 4.9257.995 13727.343584932.426522304.4622600452.669.975182.631-9090103282.60.1741 3.187 1.79 4.9327.995 13727.343584932.426522304.4622600472.6610.42182.631-9090103283.040.1818 3.187 1.8 4.947.995 13727.343584932.426522304.4622600492.6610.86182.631-9090103283.480.1895 3.187 1.81 4.9487.995 13727.343584932.426522304.4622600512.6611.3182.631-9090104283.920.1972 3.187 1.81 4.9557.995 13727.343584932.426522304.4622600532.6611.74182.631-9090104284.360.2049 3.187 1.82 4.96312 13727.343584932.426522304.4622600552.6612.18182.631-9090105284.80.2126 3.187 1.83 4.97112 13727.343584932.426522304.4622600572.6612.62182.631-9090105285.250.2203 3.187 1.84 4.97812 13727.343584932.426522304.4622600592.6613.06182.631-9090106285.690.2279 3.187 1.84 4.98612 13727.343584932.426522304.4622600612.6613.5182.631-9090106286.130.2356 3.187 1.85 4.99412 13727.343584932.426522304.4622600632.6613.94182.631-9090107286.570.2433 3.187 1.86 5.00212 13727.343584932.426522304.4622600652.6614.38182.631-9090107287.010.251 3.187 1.87 5.00912 13727.343584932.426522304.4622600672.6614.82182.631-9090107287.450.2587 3.187 1.88 5.01712 13727.343584932.426522304.4622600692.6615.26182.631-9090108287.890.2664 3.187 1.88 5.02512 13727.343584932.426522304.4622600712.6615.7182.631-9090108288.330.2741 3.187 1.89 5.03212 13727.343584932.426522304.4622600732.6616.15182.631-9090109288.770.2818 3.187 1.9 5.0412。
极坐标法放样数据计算及其精度分析
程测设 和施工放 样 中得 到越来越 广泛 的应 用 。极 坐标 法放样 的精度 问题是施工 放样过程 中的主要 问
题 ，本文着重对极坐标法放样 的步骤 、计算及其精度问题进行重点分析 ，并指 出应用 全站 仪进 行极坐
标 法放样 的优点 。 关键词 ：放样 ；精度 ；误差
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对 而 言都非 常小 ，故 极 坐标放 样 的精度 主要决
文献标 志码 ：Ｂ
文章编号 ：１ ６ ７ ３ — ０ ４ ０ ２ （ ２ ０ １ ４ ） ０ ８ — ０ ０ ５ ６ — ０ ３
１极 坐 标 法放 样 的优 点
施工放线是指将施工图纸上设计的建筑物
外 形 、位 置和具 体 尺寸 由 图纸 转化 到实 际施 工 场 地上 的过 程 。是将 建筑 物在施 工 场地所 处 的
将全站仪安置在 已知点 Ａ，以已知点 Ｂ 定 向 ，顺 时针 拨 角 １ ３得方 向 Ａ Ｃ ／ 。
２ ． ３ 标定 Ｃ 点
测角和量距误差的联合影响使 ｃ 点产生的 点 位 中误差 ／ ７ ＇ ／ ， 为：
沿 ＡＣ ／ ｝ Ｙ向放 样 距 离 Ｓ ，即可 在 地 面 上标 定 出设 计点 Ｃ。
指导工人进行施工的过程 。传统的测量放样采 用 经 纬仪 ，劳动 强度 大 、工作效 率 低 、数 据误
全站仪的坐标放样,那个坐标怎么计算出来的啊？
坐标要已知才能放样呀，如果要计算坐标，可以用CAsio4800编程计算，只要有公式就可以自己编入计算器运用，当然你可直接上网下载如果是公路的我整理的你可以参考CASIO4800程序组1、极坐标法放样Prog：FYLb1 0：A“X0”：B“Y0”：I=0：J=0：Pol（（C“XA”-A），（D“YA”-B）：J<0=>G“FW- OA”=J+360▲L“L0”=I▲Goto 1：≠> G“FW O-A”=J▲L“L0”=I▲Lb1 1：{EQ}：E“Xi”：Q“Yi”：Pol（（E-A），（Q-B））：J<0=>J=J+360：Goto 2：≠> Goto 2Lb1 2：F“FW-OB”=J▲L=I▲0=F-G：O<0=>O“BJ”=O+360▲Goto 3：≠> O “BJ” ▲Lb1 3：P=O-180▲Goto 1注：a、输入：（X0、Y0）、（XA、YA）——测站点坐标、后视点坐标Xi、Yi ——放样点坐标b、输出：FW-OA——测站至后视边方位角、L0——后视边长FW-OB——测站至放样点方位角、L——放样边长BJ——后视边置零，放样点顺时针拨角P——偏角（+为右偏、-为左偏）{本值用于计算路线偏角}2、公路竖曲线高程计算程序Prog:SQXLbl A:A“+（-）i1”:B“+（-）i2” W=（B-A）÷100：R：T=Abs（RW）÷2：L=T*2：E=T2÷（2R）：K“JD K+”：G“JD H”：C=K-T：D=K+T：Lbl 0：J“Ki+”：J<0=>Goto 1：≠> Goto 2△△Lb1 1：“Out QX1”：H=G-(K-J)A÷100▲Goto 5Lb1 2：J>D=>Goto 4 △W<0=>F=-1△W>0=>F=1△J>K=>Goto 3△H=G-（K-J）A÷100+F(J-C)2÷（2R）▲Goto 5△Lb1 3：H=G+（J-K）B÷100+F（D-J）2÷（2R）▲Goto 5△Lb1 4：“OUT QX2”：H=G+（J-K）B÷100▲Goto 5△Lb1 5：M“DHi”：H=H+M▲注：a、公式：L=|R(i2-i1)| 、T=L÷2、E=T2÷（2R）、h=l2÷(2R)b、功能：已知前后坡度%、竖曲线半径，计算各桩高程。
公路曲线坐标计算及放样
《公路曲线坐标计算及放样》Lbl 0{ LRAPQWVF}L“L0”:R:A: P“X ZH”：Q“Y ZH”：W“X S”：V“Y S”:F“FWJ”B=L/2R*180°/л↙——B代表缓和曲线切线角，L代表缓和曲线长度，R代表圆曲线半径C“X0”= L- L3/40R2↙——C代表HY点横坐标D“Y0”= L2/6R- L4/336R3↙——D代表HY点纵坐标P=(D+R*COSB)-R↙——P代表内移距M=C-R*SIN B↙——M代表切垂距A=1→GOTOA=2→GOTO ——1代表缓和曲线,2代表圆曲线Lbl 1G“X A”=Z“L A”- Z5/40R2L2↙——Z“L A”代表缓和曲线上所求点到ZH点的长度J“Y A”=±{ Z3/6L- Z7/336R3L3} ↙——曲线右偏为正，左偏为负GOTO Lbl 3Lbl 2E＝（N“KC”-O“KHY”+ L/2）/R*180/л↙——N代表所求点的桩号，O代表HY点桩号G“XA”＝R*SIN E+M↙J“Y A”=±{R*(1-COS E)+P} ↙——曲线右偏为正，左偏为负GOTO Lbl 3Lbl 3X=P“X ZH”+G*COS F-J*SIN F ▲——P代表ZH点的大地坐标X，F代表ZH点到JD点的方位角Y= Q“Y ZH”+G*SIN F+J*COS F ▲——Q代表ZH点的大地坐标Y，F代表ZH点到JD点的方位角I=X-W“X S”↙——W代表测站点大地坐标XH=Y-V“Y S”↙——V代表测站点大地坐标YT=tan-1(H/I) ↙I＞0→H＞0→U=T▲——全站仪定向后，直接拨角度U，测设距离等于S,即可放出H＜0→U=T+360▲曲线上的主点I＜0→U=T+180▲S＝√（I2+H2）▲GOTO Lbl 0备注：需要计算边桩时，先计算出边线曲线的所需参数，可把边桩当作中桩计算。
本程序未经检验，如有错误请参阅附的课件进行修改。
极坐标线路放样计算原理文档资料
P
(RARB)lAP 2
2
2lAB RARB
（XP，YP）可由起点A至P点的距离lAB及方位角αAB按式（1）计算：
XP XAlAPc osAB YP YAlAPsinAB
（1）
线路终点B坐标为：
XB XAlABc osAB （2） YB YAlABs inAB
直线形线路的特点是，线路上任意一线段的方位角不变，均为αＡＢ。 2、 缓和曲线上任意点的坐标计算
dl
故在缓和曲线上相应于里程为lAP的轴线上一点P的切线方位角（在A-xy系中）为：
P2(R 2 AlA B R RB AR )lB AP 2
lAP RA
（30）
17
需要一提的是，式4.7-30是在曲线的曲向为左向时推算的，当曲向为右向时， 根据曲线以y轴对称的原理，可得与P点对称的一点P′点的方位角 为：
工程线路中一般采用螺旋线作为缓和曲线，如图二所示。螺旋线的特点 是：曲线上任一点P的曲率半径RP与该点至起点的曲线长lAB成反比，即：
3
X
X
x
B P
αＡＢ lAP
RA
RP
αA
Ａ
P
αB RB
B
A
O
Y
图 一：直线段任意点意图
y Y
Ｏ 图 二：缓和曲线上任意点示意图
C
RP
lAP K
（3）
式中：C为比例常数，K为加常数。
14
三、线路边线点的放样坐标计算 上面讨论了各类线路轴线上的桩位点按里程的坐标计算公式。但在实际
工作中，我们往往不仅需要测定线路轴线的位置，而且还需要测定与线路轴 线成一定夹角的排架桩位。下面，我们导出根据线路轴线上的里程及该里程 排架与轴线的夹角和排架上桩位离轴线的距离来推算相关桩位坐标的计算公 式。有了这些公式，我们就可以在实际工作中直接放样线路轴线以外的桩位 点。省去须先放出线路的轴线点，而后再由轴线点施放相应排架桩位点的繁 琐过程。
公路工程施工放样坐标计算汇编doc资料
公路工程施工放样坐标计算:前言由于我们都是搞公路工程施工的，一般情况下都是按图纸施工，路线的各种要素和参数在设计中已经给定，在施工放样中按照设计要求从图纸中搬到工地实际而已。
但是由于公路的等级不同，设计的完善程度和路线的复杂程度也不一样。
通常情况下，公路的等级越高，路线的线形组合越简单，设计越完善，施工放样越方便，特别是高速公路，它主要满足规范要求，一般都是采用大半径，坐标的计算和放样都相对简单得多；公路的等级越低，受到经济指标的控制，选择路线时不得不利用地形优势而设置很多种线形组合，特别是贵州的山岭重丘区，曲线又受个别地形地质原因而设置一些复杂的曲线，并且设计的完善程度也相对较低，甚至有可能连逐桩坐标都不一定有，给复测中恢复中桩和施工放样带来一定的困难。
所以我们有必要进行路线的各种放样坐标的计算和复核。
二：直线的中桩和边桩的坐标计算JD2JD1图中所有平面交点坐标已知，JD 坐标为x i ,y i ； JD 2坐标为％,丫2；则平面逐桩坐标及切线方位角的计算过程为：1、路线方位角计算：式中(3( 1—2)方位角。
其中由该式直接求解的为 JD 到JD 2的 方位角3( 1—2)为0~90°之间的角值，根据(Y 2-Y 1)和(X 2-X 1)的符 号把3( 1 — 2)换算为0~360°内。
2、 中桩坐标计算：X 中=X 1+com [3X L丫中=Y 1+s in [3X L 式中L 为所求桩号到JD1的距离。
3、 边桩坐标计算：X 边=X 中+com (3 +90 °)x L 边Y 边二 丫 中 +sin (3 +90°)x L 边式中L 边为所求桩号中桩到放样边桩点的距离；+90°为路线前 进方向的右边桩取加号，+90°为路线前进方向的左边桩取减号。
直线段的中桩和边桩放样坐标计算是很简单的，只要注意方位 角和起算点坐标就行了。
三：曲线的介绍和曲线坐标计算1 :简单曲线，就是只有圆曲线部分，并且只有一个半径R的曲线 (1 — 2)二arctg丫 2 Y 1 X 2X i2:圆曲线的中桩和边桩坐标的计算圆曲线的中桩坐标的计算方法很多， 如切线支距法，但是在边 桩坐标的计算时每次都要计算切线方位角和加减 90°来实现，相对要麻烦一些。
公路坐标计算方法
坐标计算方法目前公路、铁路工程的施工放样已广泛采用全站仪放样，而全站仪放样的关键是放样逐点的坐标计算。
放样点的位置不外乎两种，即：中线点（中桩）和横断面范围上的任意点（边桩）。
1、直线段坐标的计算方法：直线段的坐标方位角a用弧度表示）是不变的，其坐标计算不用考虑方位角的变化。
1.1 直线段任意中桩点坐标计算公式如下：X=X0+L*COS aY=Y0+L*SIN a其中：XO、Y0分别代表直线段已知点的坐标；L代表计算点到已知点的距离；a代表直线段的方位角以弧度计。
1.2 边桩坐标计算公式如下：（本文以90度即n /2弧度示例）X=X0+ D*COS（a 士n /2+ n）Y二Y0+ D*SIN（a 士n /2+ n）其中：X0、Y0分别代表已知中桩点的坐标；D代表计算点到中桩的距离，a 代表中桩点的方位角以弧度计。
士的使用，当计算点在左侧选择-，当计算点在右侧选择+2、xx曲线段坐标的计算方法：圆曲线段采用切线支距法计算：2.1 中桩坐标计算2.1- 1 方位角计算:已知ZY点的方位角a,计算点的弦切角8=L/2R,L为计算点到ZY点的桩号长度，所以计算点的方位角为(a±8)。
±的使用，当路线为左转时选择-，路线为右转时选择+2.1- 2计算点到ZY点的距离计算：C=2R*SIN(L/2R),为计算点到ZY点的桩号长度；R为圆曲线的半径。
2.1- 3中桩坐标计算公式：X=XO+ C*COS(士®Y二Y0+ C*SIN(c士®a为ZY点的方位角；XO、Y0代表ZY点的坐标；8=L/2R,C=2R*SIN(L/2R),为圆曲线半径，L为桩号长度。
±的使用，当路线为左转时选择-，路线为右转时选择+。
2.2边桩坐标计算2.2- 1 方位角计算:a、已知中桩点方位角(a±S);b、因为圆曲线上的边桩点是沿半径方向布置的，半径垂直于计算点的切线而不是弦线，如果严格按照弦线90度即(2弧度方向布置计算，需要调整角度，即弦垂线与切线垂线的夹角i,其中i二L/2R=3,所以计算点的方位角即为：(a±2士n2 )。
极坐标测量放样计算表
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线
单 位 名 称：中铁八局工 程 名 称：遂渝二线。
道路放样坐标计算
（直线、缓和曲线<南方NTS-362R6L>）
一、根据直线、曲线要素表
列1：JD5—x=4340430.518JD6—x=4339782.179
y=441418.4621y=441651.8123
方位角计算=POl（4339782.179-4340430.518，441651.8123-441418.4621
=689.0543m
4、坐标左右偏移计算（列1）
公式=x+Cos（角度+-90°）*距离y+Sin（角度+-90°）*距离
JD5-JD6之间K3+700—x=4340081.014
Y=441544.255
右偏13.5坐标X=4340081.014+cos（160°12″18.65′+90°）*13.5=4340076.445
r=689.0543
Θ=160.2051794转160°12″182″18.65′，已知JD5半径=1500，曲线长度248.7908;(JD5桩号K3+328.548，JD6桩号K4+017.030）
利用全站仪进行道路放样：选择程序——道路——水平定线——（新建水平定线文件）——起始点（输入桩号3328.548，坐标JD5）——水平定线（1、直线-方位角160°12′19″2、圆弧—半径1500，弧长497.583、缓和曲线-半径1500，弧长497.58）——道路放样——选择文件（水平定线）——设置放样点（依次输入起始桩号-桩间距-左偏差-右偏差）——放样《DHR角度值，HD水平距离》（编辑可以桩号可放样任意一点坐标，编辑偏差左右偏移“左负右正”）见附图
2、道路坐标计算(列1）
极坐标线路放样计算原理ppt课件
当RA→∞时有：
xP
l
3 AP
6lAB RB
l
7 AP
336l
3 AB
RB3
yP
lAP
l
5 AP
40l
2 AB
RB2
l
9 AP
3456l
4 AB
RB4
(13)
当RB→∞时，式（12）化为：
xP
l
2 AP
2RA
l
3 AP
6lAB RA
l
4 AP
24RA3
l
5 AP
20lAB RA3
l
6 AP
48l
2 AB
6
dx sin dl dy cos dl
（6）
对式（6）求积得：
xP
lAP sin dl
0
（7）
yP
lAP cos dl
0
x
β0
RB
RA
B
dβ
dl
A
dx
β dy
β0
y
图 五：缓和曲线上任意点的坐标计算示意图
式中β为弧长l的函数。由于dβ=dl/ R，则由式（3）有：
d (l K) dl （8）
（XP，YP）可由起点A至P点的距离lAB及方位角αAB按式（1）计算：
X P X A lAP cos AB YP YA lAP sin AB
（1）
线路终点B坐标为：
X B X A lAB cos AB （2） YB YA lAB sin AB
直线形线路的特点是，线路上任意一线段的方位角不变，均为αＡＢ。 2、 缓和曲线上任意点的坐标计算
3 AB
RA3
RB3
极坐标放样法
极坐标放样法
极坐标放样法（Polar Coordinate Method）是一种用于绘制曲线或曲面的放样方法，适用于一些特定的几何形状。
它通过在极坐标系中描述和绘制曲线，将其转化为直角坐标系中的点集。
以下是极坐标放样法的基本步骤：
1. 确定放样中心：确定放样的中心点，通常位于极坐标系的原点。
2. 设置放样参数：根据放样的要求，设置相应的放样参数，比如角度、半径等。
3. 计算极坐标点：根据放样参数，计算出每个角度对应的极坐标点的半径和角度值。
4. 转换为直角坐标：将计算得到的极坐标点转换为直角坐标系中的点。
5. 绘制曲线：连接转换得到的直角坐标点，绘制曲线或曲面。
极坐标放样法常用于制作对称的基本形状，如圆形、花瓣等。
它可以
帮助绘制精确的几何图形，并在建筑、工程、制图等领域得到应用。
需要注意的是，极坐标放样法在绘制复杂曲线时可能比较繁琐，有时需要借助计算机辅助绘图软件或绘图工具来实现。
此外，放样过程中需要准确理解放样参数的含义，并根据实际情况进行调整和优化。
综上所述，极坐标放样法是一种在极坐标系中进行曲线或曲面放样的方法，它可以用于绘制特定几何形状，但在实际应用中需要注意参数设置和转换计算的准确性。