最新版公路工程斜交桥涵放线计算表(极坐标)

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高速公路中、边桩坐标计算表v2.0

-6.00
-6.00
-6.00
-15.60
-15.60
-15.60
-15.60
-15.60
-15.60
-15.60
计算：
复核:
48.00 49.00
高速公路中、边桩坐标计算表V2.0 共享版作者：刘岩
打印日期：2020/7/1 19:20
高速公路中、边桩坐标计算表（缓和曲线部分）
ZH (或HZ)点
打印日期：2020/7/1 19:20
高速公路中、边桩坐标计算表（缓和曲线部分）
ZH (或HZ)点
桩号
曲线半径
缓和曲线长度
曲线右转左转
(±1)
ZH(或HZ点)坐标
N）
Y（E）
方位角（°）
JP（交）点坐标
X（N）
Y（E）
计算左边桩右边桩米数（+）（-）
桩号
输出
所求点坐标
X（N）
X（N）
Y（E）
计算左边桩右边桩米数（+）（-）
桩号
输出
所求点坐标
X（N）
Y（E）
308+646.74 500 120
1
2949701.137
491384.471
19.4592205 8
2949847.801
491436.290
0
计算结果如下：
K308+646.74 2949701.137 491384.471
高速公路中、边桩坐标计算表V2.0 共享版作者：刘岩
打印日期：2020/7/1 19:20
高速公路中、边桩坐标计算表（缓和曲线部分）
ZH (或HZ)点

高速公路各线形计算公式

高速公路的一些线路坐标、高程计算公式(缓和曲线、竖曲线、圆曲线、匝道)一、缓和曲线上的点坐标计算已知：①缓和曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l0④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：x Z，y Z计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当计算第二缓和曲线上的点坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与计算第一缓和曲线时相反x Z，y Z为点HZ的坐标切线角计算公式：二、圆曲线上的点坐标计算已知：①圆曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l0④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：x Z，y Z计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当只知道HZ点的坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与知道ZH点坐标时相反x Z，y Z为点HZ的坐标三、曲线要素计算公式公式中各符号说明：l——任意点到起点的曲线长度（或缓曲上任意点到缓曲起点的长度）l1——第一缓和曲线长度l2——第二缓和曲线长度l0——对应的缓和曲线长度R——圆曲线半径R1——曲线起点处的半径R2——曲线终点处的半径P1——曲线起点处的曲率P2——曲线终点处的曲率α——曲线转角值四、竖曲线上高程计算已知：①第一坡度：i1(上坡为“＋”，下坡为“－”)②第二坡度：i2(上坡为“＋”，下坡为“－”)③变坡点桩号：S Z④变坡点高程：H Z⑤竖曲线的切线长度：T⑥待求点桩号：S计算过程：五、超高缓和过渡段的横坡计算已知：如图，第一横坡：i1第二横坡：i2过渡段长度：L待求处离第二横坡点（过渡段终点）的距离：x 求：待求处的横坡：i解：d=x/Li=(i2-i1)(1-3d2+2d3)+i1六、匝道坐标计算已知：①待求点桩号：K②曲线起点桩号：K0③曲线终点桩号：K1④曲线起点坐标：x0，y0⑤曲线起点切线方位角：α0⑥曲线起点处曲率：P0(左转为“－”，右转为“＋”)⑦曲线终点处曲率：P1(左转为“－”，右转为“＋”)求：①线路匝道上点的坐标：x,y②待求点的切线方位角：αT计算过程：注：sgn(x)函数是取符号函数，当x<0时sgn(x)=-1，当x>0时sgn(x)=1，当x=0时sgn(x)=0。

附合导线坐标计算表(公式)111

附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
制表：复核：第 1 页共 5 页
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
制表：复核：第 2 页共 5 页
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
制表：复核：第 3 页共 5 页
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
制表：复核：第 1 页共 5 页
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
制表：复核：第 2 页共 5 页
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
制表：复核：第 3 页共 5 页
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01
附合导线坐标计算表
工程名称：靖王高速公路JW4标日期：2003.08.01。

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 9655.0933588956.29521951.44164.91 1.488180.54-909090.5270.540.026 3.151 1.58 4.7227.995 9655.0933588956.29521951.44184.91 1.946180.54-909090.5270.540.034 3.151 1.58 4.7227.995 9655.0933588956.29521951.441104.91 2.404180.54-909090.5270.540.042 3.151 1.58 4.7227.995 9655.0933588956.29521951.441124.91 2.863180.54-909090.5270.540.05 3.151 1.58 4.7227.995 9655.0933588956.29521951.441144.91 3.321180.54-909090.5270.540.058 3.151 1.58 4.7227.995 9655.0933588956.29521951.441164.91 3.779180.54-909090.5270.540.066 3.151 1.58 4.7227.995 9655.0933588956.29521951.441171.51 3.931180.54-909090.5270.540.0686 3.151 1.58 4.7227.995 9826.6083588784.782521949.831150013.392-0.02180.54-1-909090.5270.56201.67-0.01 1.58 4.7227.995 9826.6083588784.782521949.831150033.392-0.11180.54-1-909090.4270.64201.67-0.04 1.58 4.7247.995 9826.6083588784.782521949.831150053.392-0.27180.54-1-909090.3270.81201.67-0.09 1.58 4.7267.995 9826.6083588784.782521949.831150073.392-0.51180.54-1-909090271.05201.67-0.17 1.57 4.7317.995 9826.6083588784.782521949.831150093.392-0.83180.54-1-909089.7271.36201.67-0.28 1.57 4.7367.995 9826.6083588784.782521949.8311500113.392-1.22180.54-1-909089.3271.76201.67-0.41 1.56 4.7437.995 9826.6083588784.782521949.8311500133.392-1.69180.54-1-909088.9272.22201.67-0.56 1.55 4.7517.995ZY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9826.6083588784.782521949.8311500153.392-2.23180.54-1-909088.3272.77201.67-0.74 1.54 4.7617.995 9826.6083588784.782521949.8311500173.392-2.85180.54-1-909087.7273.39201.67-0.95 1.53 4.7717.995 9826.6083588784.782521949.8311500193.392-3.54180.54-1-909087274.08201.67-1.18 1.52 4.7847.995 9826.6083588784.782521949.8311500201.667-3.85180.54-1-909086.7274.39201.67-1.28 1.51 4.7897.995 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10028.2753588583.173521952.455150011.7250.448176.69-1-909086.2266.240.0078 3.084 1.51 4.6477.995 10028.2753588583.173521952.455150031.725 1.212176.69-1-909085.5265.470.0212 3.084 1.49 4.6337.995 10028.2753588583.173521952.455150051.725 1.976176.69-1-909084.7264.710.0345 3.084 1.48 4.627.995 10028.2753588583.173521952.455150071.725 2.74176.69-1-909083.9263.950.0478 3.084 1.47 4.6077.995 10028.2753588583.173521952.455150091.725 3.504176.69-1-909083.2263.180.0612 3.084 1.45 4.5937.995 10028.2753588583.173521952.4551500111.725 4.268176.69-1-909082.4262.420.0745 3.084 1.44 4.587.995 10028.2753588583.173521952.4551500131.725 5.032176.69-1-909081.7261.650.0878 3.084 1.43 4.5677.995 10028.2753588583.173521952.4551500151.725 5.795176.69-1-909080.9260.890.1012 3.084 1.41 4.5537.995 10028.2753588583.173521952.4551500171.725 6.559176.69-1-909080.1260.130.1145 3.084 1.4 4.547.995 10028.2753588583.173521952.4551500191.7257.323176.69-1-909079.4259.360.1278 3.084 1.39 4.5277.995 10028.2753588583.173521952.4551500211.7258.087176.69-1-909078.6258.60.1412 3.084 1.37 4.5137.995 10028.2753588583.173521952.4551500231.7258.851176.69-1-909077.8257.840.1545 3.084 1.36 4.57.995 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4.5827.995 11357.5093587294.73522265.7542.490.974172.54-909082.5262.540.017 3.011 1.44 4.5827.995 11357.5093587294.73522265.7562.49 1.432172.54-909082.5262.540.025 3.011 1.44 4.5827.995 11357.5093587294.73522265.7582.49 1.891172.54-909082.5262.540.033 3.011 1.44 4.5827.995 11357.5093587294.73522265.75102.49 2.349172.54-909082.5262.540.041 3.011 1.44 4.5827.995 11357.5093587294.73522265.75122.49 2.807172.54-909082.5262.540.049 3.011 1.44 4.5827.995 11357.5093587294.73522265.75142.49 3.266172.54-909082.5262.540.057 3.011 1.44 4.5827.995 11357.5093587294.73522265.75162.49 3.724172.54-909082.5262.540.065 3.011 1.44 4.5827.995 11357.5093587294.73522265.75182.49 4.182172.54-909082.5262.540.073 3.011 1.44 4.5827.995 11357.5093587294.73522265.75202.49 4.641172.54-909082.5262.540.081 3.011 1.44 4.5827.995 11357.5093587294.73522265.75222.49 5.099172.54-909082.5262.540.089 3.011 1.44 4.5827.995 11357.5093587294.73522265.75242.49 5.557172.54-909082.5262.540.097 3.011 1.44 4.5827.995 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。

箱涵全套结构计算表格EXCEL版（包含计算书只需输入数据）

箱涵全套结构计算表格EXCEL版（包含计算书只需输入数据）1、孔径及净空净跨径L 0 =3m 净高h 0 = 2.5m2、设计安全等级三级结构重要性系数r 0 =0.93、汽车荷载荷载等级公路—Ⅰ级4、填土情况涵顶填土高度H =0.8m 土的内摩擦角Φ =30°填土容重γ1 =18kN/m 3地基容许承载力[σ0] =200kPa5、建筑材料普通钢筋种类HRB335主钢筋直径12mm 钢筋抗拉强度设计值f sd =280MPa 涵身混凝土强度等级C 20涵身混凝土抗压强度设计值f cd =9.2MPa 涵身混凝土抗拉强度设计值f td = 1.06MPa 钢筋混凝土重力密度γ2 =25kN/m 3基础混凝土强度等级C 15混凝土重力密度γ3 =24kN/m 3(一)截面尺寸拟定(见图L-01)顶板、底板厚度δ =0.3m C 1 =0.3m 侧墙厚度t =0.28m C 2 =0.5m 横梁计算跨径L P = L 0+t = 3.28m L = L 0+2t = 3.56m 侧墙计算高度h P = h 0+δ = 2.8m h = h 0+2δ =3.1m 基础襟边 c =0.2m 基础高度 d =0.4m 基础宽度 B =3.96m图 L-01(二)荷载计算1、恒载恒载竖向压力p 恒= γ1H+γ2δ =21.90kN/m2恒载水平压力顶板处e P1 = γ1Htan 2(45°-φ/2) = 4.80kN/m 2底板处e P2 = γ1(H+h)tan 2(45°-φ/3) =23.40kN/m 22、活载钢筋混凝土箱涵结构设计一、设计资料二、设计计算汽车后轮着地宽度0.6m，由《公路桥涵设计通用规范》(JTG D60—2004)第4.3.4条规定，按30°角向下分布。

一个汽车后轮横向分布宽> 1.3/2 m < 1.8/2 m故横向分布宽度a = (0.6/2+Htan30°)32+1.3 =2.824m同理，纵向，汽车后轮着地长度0.2m0.2/2+Htan30°=0.562 m < 1.4/2 m故b = (0.2/2+H tan30°)32 =1.124m ∑G =140kN 车辆荷载垂直压力q 车= ∑G /(a3b) =44.12kN/m 2车辆荷载水平压力e 车 = q 车tan 2(45°-φ/2) =14.71kN/m2(三)内力计算1、构件刚度比K = (I 1/I 2)3(h P /L P ) =1.052、节点弯矩和轴向力计算(1)a种荷载作用下 (图L-02)涵洞四角节点弯矩M aA = M aB = M aC = M aD =-1/(K+1)2pL P 2/12横梁内法向力N a1 = N a2 =0侧墙内法向力N a3 = N a4 =pL P /2恒载p = p 恒 =21.90kN/m 2M aA = M aB = M aC = M aD =-9.58kN 2m N a3 = N a4 =35.92kN 车辆荷载p = q 车 =44.12kN/m 2M aA = M aB = M aC = M aD =-19.30kN 2m 图 L-02N a3 = N a4 =72.36kN(2)b种荷载作用下 (图L-03)M bA = M bB = M bC = M bD =-K/(K+1)2ph P 2/12N b1 = N b2 =ph P /2N b3 = N b4 =0恒载p = e P1 =4.80kN/m 2M bA = M bB = M bC = M bD =-1.61kN 2m N b1 = N b2 =6.72kN(3)c 种荷载作用下 (图L-04)图 L-03M cA = M cD =-K(3K+8)/[(K+1)(K+3)]2ph P 2/60M cB = M cC =-K(2K+7)/[(K+1)(K+3)]2ph P 2/60N c1 =ph P /6+(M cA -M cB )/h P N c2 =ph P /3-(M cA -McB )/h PN c3 = N c4 =0恒载p = e P2-e P1 =18.60kN/m2M cA = M cD =-3.43kN 2m M cB = M cC =-2.80kN 2m N c1 =8.45kN N c2 =17.59kN图 L-04(4)d 种荷载作用下 (图L-05)M dA =-[K(K+3)/6(K 2+4K+3)+(10K+2)/(15K+5)]2ph P 2/40.6/2+Htan30°=0.76 mM dB =-[K(K+3)/6(K2+4K+3)-(5K+3)/(15K+5)]2ph P2/4M dC =-[K(K+3)/6(K2+4K+3)+(5K+3)/(15K+5)]2ph P2/4M dD =-[K(K+3)/6(K2+4K+3)-(10K+2)/(15K+5)]2ph P2/4 N d1 =(M dD-M dC)/h PN d3 = -N d4 =-(M dB-M dC)/L P车辆荷载p = e车 =14.71kN/m2M dA =-19.82kN2mM dB =9.00kN2mM dC =-13.92kN2mM dD =14.90kN2m图 L-05N d1 =10.29kNN d2 =30.88kNN d3 = -N d4 =-6.99kN(5)节点弯矩、轴力计算及荷载效应组合汇总表按《公路桥涵设计通用规范》(JTG D60—2004)第4.1.6条进行承载能力极限状态效应组合V x =ω1x+x2(ω2-ω1)/2L P-N3图 L-07=-27.13kN(3)左侧墙 (图L-08)ω1 =1.4e P1+1.4e 车=27.31kN/m 2ω2 =1.4e P2+1.4e 车53.35kN/m 2x =h P /2N x = N 3 =134.61kNM x =M B +N 1x-ω12x 2/2-x 3(ω2-ω1)/6h P =-13.17kN 2mV x =ω1x+x 2(ω2-ω1)/2h P -N 1=11.69kN (4)右侧墙 (图L-09)ω1 = 1.4e P1 = 6.72kN/m 2ω2 = 1.4e P2 = 32.76kN/m 2x =h P /2N x = N 4 =154.18kNM x =M C +N 1x-ω12x 2/2-x 3(ω2-ω1)/6h P=-25.08kN 2m V x =ω1x+x 2(ω2-ω1)/2h P -N 1 =-17.14kN(5)构件内力汇总表(四)截面设计1、顶板 (B-C)钢筋按左、右对称，用最不利荷载计算。

高速公路线路(缓和曲线、竖曲线、圆曲线、匝道)坐标计算公式【精选】

高速公路的一些线路坐标、高程计算公式(缓和曲线、竖曲线、圆曲线、匝道)一、缓和曲线上的点坐标计算已知：①缓和曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l0④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：xZ，yZ计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当计算第二缓和曲线上的点坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与计算第一缓和曲线时相反xZ，yZ为点HZ的坐标切线角计算公式：二、圆曲线上的点坐标计算已知：①圆曲线上任一点离ZH点的长度：l②圆曲线的半径：R③缓和曲线的长度：l0④转向角系数：K(1或－1)⑤过ZH点的切线方位角：α⑥点ZH的坐标：xZ，yZ计算过程：说明：当曲线为左转向时，K=1，为右转向时，K=-1，公式中n的取值如下：当只知道HZ点的坐标时，则：l为到点HZ的长度α为过点HZ的切线方位角再加上180°K值与知道ZH点坐标时相反xZ，yZ为点HZ的坐标三、曲线要素计算公式公式中各符号说明：l——任意点到起点的曲线长度（或缓曲上任意点到缓曲起点的长度）l1——第一缓和曲线长度l2——第二缓和曲线长度l0——对应的缓和曲线长度R——圆曲线半径R1——曲线起点处的半径R2——曲线终点处的半径P1——曲线起点处的曲率P2——曲线终点处的曲率α——曲线转角值四、竖曲线上高程计算已知：①第一坡度：i1(上坡为“＋”，下坡为“－”)②第二坡度：i2(上坡为“＋”，下坡为“－”)③变坡点桩号：SZ④变坡点高程：HZ⑤竖曲线的切线长度：T⑥待求点桩号：S计算过程：五、超高缓和过渡段的横坡计算已知：如图，第一横坡：i1第二横坡：i2过渡段长度：L待求处离第二横坡点（过渡段终点）的距离：x 求：待求处的横坡：i解：d=x/Li=(i2-i1)(1-3d2+2d3)+i1六、匝道坐标计算已知：①待求点桩号：K②曲线起点桩号：K0③曲线终点桩号：K1④曲线起点坐标：x0，y0⑤曲线起点切线方位角：α0⑥曲线起点处曲率：P0(左转为“－”，右转为“＋”)⑦曲线终点处曲率：P1(左转为“－”，右转为“＋”)求：①线路匝道上点的坐标：x,y②待求点的切线方位角：αT计算过程：注：sgn(x)函数是取符号函数，当x<0时sgn(x)=-1，当x>0时sgn(x)=1，当x=0时sgn(x)=0。

道路中线及边桩坐标计算表(母表)

道路中桩边桩坐标计算表
工程名称： JD 14 JD 15 JD 16 起算数据 3536.981 3645.987 3748.074 α 0.39746028 p1 TY LY ZH YH 距离夹角 0.235 25.787 51.334 3584.699 3671.033 X 31464.011 31488.671 31470.662 217.215 0.080565 0.235 61.288 121.334 3619.699 3706.033 Y 52713.937 52823.068 52924.790 ls1 β02 q1 TH2 QZ 坐标方位角 1.34856 77.26689 1.74602 100.03969 （弧度）（度） 35.000 ls2 35.000 α0 0.08057 0.236 q2 17.496 17.496 61.288 E 4.601 DH 1.242 3645.366
桩号
坐标 R β01 ห้องสมุดไป่ตู้2 TH1 LH HY HZ
曲线元素
主点桩号桩号
左边中心线右边备注 X Y X Y 距离夹角 Z Y K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 直线 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 段 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 0+ 30685.060 49266.745 30685.060 49266.745 30685.060 49266.745 K 3 + 584.699 31475.162 52763.287 31475.162 52763.287 31475.162 52763.287 ZH点 K 0+ ########## ########## ########## ########## ########## ########## K 0+ ########## ########## ########## ########## ########## ########## 第 K 0+ ########## ########## ########## ########## ########## ########## 一缓 K 0+ ########## ########## ########## ########## ########## ########## 和 K 0+ ########## ########## ########## ########## ########## ########## 曲线 K 0+ ########## ########## ########## ########## ########## ########## 段 K 0+ ########## ########## ########## ########## ########## ########## K 0+ ########## ########## ########## ########## ########## ########## K 3 + 619.699 31481.955 52797.611 31481.955 52797.611 31481.955 52797.611 HY(ZY) K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 圆 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 曲线 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 段 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 K 0+ 31094.439 52696.244 31094.439 52696.244 31094.439 52696.244 K 3 + 671.033 31483.159 52848.812 31483.159 52848.812 31483.159 52848.812 YH(YZ) K 0+ ########## ########## ########## ########## ########## ########## K 0+ ########## ########## ########## ########## ########## ########## 第 K 0+ ########## ########## ########## ########## ########## ########## 二缓 K 0+ ########## ########## ########## ########## ########## ########## 和 K 0+ ########## ########## ########## ########## ########## ########## 曲线 K 0+ ########## ########## ########## ########## ########## ########## 段 K 0+ ########## ########## ########## ########## ########## ########## K 0+ ########## ########## ########## ########## ########## ########## K 3 + 706.033 31477.987 52883.418 31477.987 52883.418 31477.987 52883.418 HZ点说明：使用该表时要注意直线段、缓和曲线段、圆曲线段，各个区间不能越位，当行数不够或行数剩余时，只能在区间中部增、删。左、右边点的距离，是指点到中心线的垂直距离。夹角为边点与中线点连线与中线点的法线的夹角，方向指定为，夹角在法线左为负；在右为正。

桥涵涵洞洞口(锥坡与八字墙)自动计算表格

பைடு நூலகம்
V身(一个) V基(一个)
板厚 40
净高
八字墙工程量
V身(一个) V基(一个)
板厚 40
净高
2 2 203 215
左八字墙计算
背坡n 边坡m 八字墙顶宽a 3 2 50 八字墙高H 335 正正正 450.0 450.0 259.8 57.7 21.5 10.08 5.07 *** 蓝色为要填数据八字墙墙身 40.3 八字墙基础 20.3 G 增长 h/n0增长 e1 增长涵洞长台帽面积墙身面积基础面积涵底铺砌砂垫层白灰土面积沥青面积 2790 15200 7800 19.4 16.0 24400 126 涵洞净跨 530 台帽体积墙身体积基础体积洞口铺砌隔水墙灰土体积涵洞交角 90.0 6.7 36.5 18.7 28.4 16.8 29.3 斜净跨 530.0 涵洞斜长 1200.0 盖板体积 29.5 净高板厚左侧涵长右侧涵长涵底纵坡 150 16 600 600 1 左侧涵顶坡右侧涵顶破左侧墙高右侧墙高 e2 增长 0 0 0 0 T 增长 C 增长 C0增长 C1增长翼墙高h 110 2.81 0.38 11.5 张角B(度) 30 反反反襟边e 20 2.38 0.53 11.5 除具体说明外，单位均为cm 求解八字墙各参数基础厚d 涵底纵坡 60 0 背坡n 3 边坡m 2 50
右八字墙计算
八字墙顶宽a 八字墙高H 335 正正正 450.0 450.0 259.8 57.7 21.5 10.08 5.07 *** 蓝色为要填数据 0 0 0 0 翼墙高h 110 2.81 0.38 11.5 张角B(度) 30 反反反襟边e 20 2.38 0.53 11.5 除具体说明外，单位均为cm 基础厚d 涵底纵坡 60 0

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