自动弧垂计算表

代表档距计算档档距计算档高差线重量代表百米弧垂代表档弧垂Ld（m）L（m）H（m）W(kg/m)fb（m）fd（m）

例360344150.7070.4465.782

4140-413964864720.1880.690829.084

4142-414164864220.1880.690829.084

计算档档距计算档高差线单位重量原张力张力增减高差角

L（m）H（m）W(kg/m)T(kg)TB (kg)β(弧度)

例344150.7071981.50-6000.04357705

#DIV/0!

#DIV/0!

水平张力计算档档距计算档高差线重量高差角高差角T(kg)L（m）H（m）W(kg/m)β(弧度)β(角度)

例2809.7030313.12.060.043207422.48

2488.5792250.102.060.054285013.11

水平张力计算档档距计算档高差线重量高差角高差角T(kg)L（m）H（m）W(kg/m)β(弧度)β(角度)已知水平张力变量求计算档弧垂、线长变量

跨越物校核已知水平张力--计算任点弧垂、线长计算表 本表相对高差均用“+”值弧垂、张力和线长计算表

桩号

桩号 本表相对高差均用“+”值桩号

本表相对高差均用“+”值

桩号例2441.4092250.102.060.0542850083.11

#DIV/0!#DIV/0!线重量

T1(kg)T2(kg)W(kg/m)L1（m）L2（m）H1（m）

例12743113806729.49847431493.1

10359310324829.498492329-20.8

线重量

前T1后T2W(kg/m)前L1后L2前H1#414912743113806729.49847431493.1

10359310324829.498492329-20.8

注:计算杆塔悬点高于档对杆悬点时,H 取“正”、反之取“负”。水平张力

注:共有杆塔悬点高于前或后杆悬点时,H 取“正”、反之取“负”。 本表相对高差均用“+”值

弧垂计算简易公式

弧垂是指从圆弧上某一点到弦线的垂线长度，是在工程测量中常用的一种计算方法。弧垂计算简易公式是指通过一定的公式计算出弧垂的长度，本文将详细介绍弧垂计算的公式及其应用。

一、弧垂计算公式

弧垂计算公式是通过圆弧的半径、圆心角和弦长来计算弧垂的长度。具体公式如下：

h = R - Rcosθ

其中，h表示弧垂的长度，R表示圆弧的半径，θ表示圆心角的大小（单位为弧度）。

这个公式的推导过程比较简单，可以通过以下步骤得到：

1. 画出圆弧和弦线，并标出圆心角θ。

2. 连接圆心和圆弧上的某一点，得到垂线。

3. 根据正弦定理可得：

sin(θ/2) = h/2R

4. 化简得：

h = 2Rsin(θ/2)

5. 再根据半角公式可得：

sin(θ/2) = cos(π/2 - θ/2)

6. 代入上式得：

h = 2Rcos(π/2 - θ/2)

7. 化简得：

h = R - Rcosθ

这就是弧垂计算的简易公式。

二、弧垂计算的应用

弧垂计算的应用非常广泛，特别是在道路、铁路、桥梁等工程建设中。下面以道路工程为例，介绍弧垂计算的应用。

在道路工程中，弧垂常用于计算曲线的设计和施工。曲线是指道路中的弯道，它的设计和施工需要考虑到车辆的行驶安全和舒适性。曲线的设计需要满足一定的几何条件，其中之一就是弧垂的限制。

具体来说，曲线的设计需要满足以下条件：

1. 曲线的半径不能太小，否则车辆容易失控。

2. 曲线的弧垂不能太大，否则车辆行驶不稳定。

3. 曲线的长度不能太长，否则车辆行驶时间过长。

因此，在曲线的设计中，需要根据车辆的行驶速度、车辆类型和道路的地形条件等因素，计算出合适的曲线半径和弧垂。

具体计算方法如下：

1. 根据车辆的行驶速度和车辆类型，确定曲线的设计速度。

气象条件最低气温年均气温事故外过有风外过无风内过电压应力弧垂应力应力应力应力应力应力(mpa)(m)(mpa)(mpa)(mpa)(mpa)(mpa)(mpa)021.870107.7264.7993.4157.6457.6464.791022.490.02107.7264.8493.4257.7157.7164.862024.020.07107.7264.9993.4557.9457.9265.073025.970.14107.7265.2393.4958.358.2565.414028.050.23107.7265.5693.5658.7858.765.875030.140.34107.7265.9693.6459.3759.2666.446032.190.46107.7266.4493.7360.0659.967.17034.180.59107.7266.9893.8560.8260.6167.848035.950.73107.4567.3293.7161.461.1568.49037.430.89106.7467.3293.1561.6661.3668.6410038.831.05105.9567.3292.5561.9461.5868.8811040.161.23105.1167.3291.962.2161.869.1312041.421.42104.2167.3291.2262.4962.0269.3913042.611.62103.2567.3290.562.7662.2469.6414043.731.83102.2567.3289.7763.0362.4569.8915044.792.06101.2267.3289.0163.2962.6770.1316045.82.29100.1567.3288.2463.5462.8770.3717046.752.5399.0567.3287.4663.7963.0770.6118047.642.7897.9467.3286.6864.0363.2670.8319048.53.0596.8267.3285.9164.2563.4471.0520049.33.3295.767.3285.1564.4763.6271.2621050.063.6194.5867.3284.3964.6863.7971.4622050.793.993.4867.3283.6664.8763.9571.6523051.474.2192.3967.3282.9565.0664.171.8424052.124.5291.3267.3282.2565.2464.2472.0125052.734.8590.2867.3281.5865.4164.3872.1826053.325.1989.2667.3280.9465.5764.5172.3427053.875.5488.2867.3280.3265.7364.6372.4928054.45.987.3467.3279.7465.8764.7572.6429054.96.2786.4367.3279.1766.0164.8672.7730055.376.6585.5767.3278.6466.1464.9672.931055.837.0584.7467.3278.1366.2665.0673.0332056.267.4583.9467.3277.6466.3865.1673.1433056.667.8783.1967.3277.1966.4965.2473.2634057.058.382.4867.3276.7566.5965.3373.3635057.38.7581.5467.1576.1166.5365.2473.2936057.459.2480.4866.8675.3566.3565.0573.0937057.599.7379.4866.5974.6466.1864.8672.938057.7210.2478.5466.3373.9766.0264.6972.7239057.8510.7677.6766.0973.3465.8764.5272.5540057.9711.376.8565.8672.7665.7364.3772.3941058.0811.8576.0865.6572.2165.664.2272.2442058.1812.4175.3665.4571.6965.4764.0972.1最高温档距LGJ - 150/20 4 Weather 导线应力弧垂计算表 43058.2812.9974.6965.2671.2165.3563.9671.9744058.3813.5874.0665.0970.7665.2463.8371.8445058.4714.1873.4764.9270.3365.1363.7271.7246058.5614.7972.9264.7669.9365.0363.6171.6147058.6415.4272.464.6169.5564.9463.5171.548058.7216.0671.9164.4769.264.8563.4171.449058.7916.7271.4564.3468.8764.7763.3271.350058.8617.3971.0264.2168.5564.6863.2371.2151058.9318.0770.6164.0968.2564.6163.1571.1352058.9918.7770.2363.9867.9764.5463.0771.0453059.0619.4769.8763.8767.7164.4762.9970.9654059.1120.269.5263.7667.4664.462.9270.8955059.1720.9369.263.6767.2264.3462.8570.8256059.2221.6868.963.576764.2862.7970.7557059.2722.4468.6163.4966.7864.2262.7370.6958059.3223.2268.3363.466.5864.1762.6770.6259059.372468.0863.3266.3964.1262.6170.5760059.4124.8167.8363.2566.264.0762.5670.5161059.4625.6267.663.1766.0364.0262.5170.4662059.526.4567.3763.165.8763.9862.4670.463059.5427.2967.1663.0465.7163.9362.4270.3564059.5828.1566.9662.9765.5663.8962.3770.3165059.6129.0266.7762.9165.4163.8562.3370.2666059.6529.966.5962.8565.2863.8162.2970.2267059.6830.7966.4162.865.1563.7862.2570.1868059.7131.766.2562.7565.0263.7462.2170.1469059.7532.6266.0962.6964.963.7162.1770.170059.7833.5665.9362.6564.7963.6862.1470.06安装覆冰有风最大风应力应力弧垂应力应力(mpa)(mpa)(m)(mpa)(mpa)93.4186.25086.2586.2593.4286.330.0186.3686.3593.4586.570.0386.6986.6493.5186.950.0787.2187.193.5987.460.1287.9287.7393.6988.10.1888.7988.5193.888.860.2689.889.4293.9489.70.3590.9390.4493.8390.390.4591.9191.3193.3190.750.5792.691.8792.7491.130.793.3192.4592.1391.520.8494.0493.0591.4991.92194.7893.6690.8292.331.1795.5294.2790.1392.731.3596.2694.8989.4293.141.549795.588.793.541.7597.7296.187.9893.931.9698.4396.6887.2594.322.1999.1297.2686.5394.72.4399.7997.8285.8295.062.68100.4598.3785.1295.422.95101.0898.984.4495.763.22101.799.4183.7896.13.51102.399.9183.1396.423.81102.87100.3982.5196.734.12103.42100.8581.9297.024.45103.96101.2981.3597.314.78104.47101.7280.897.585.13104.97102.1380.2897.855.48105.44102.5379.7898.15.85105.9102.9179.3198.346.23106.34103.2778.8698.576.63106.76103.6278.4398.87.03107.17103.9578.0299.017.45107.55104.2877.42997.89107.72104.3776.6898.848.37107.72104.3175.9998.698.85107.72104.2575.3498.549.35107.72104.274.7498.49.86107.72104.1474.1798.2710.39107.72104.0973.6398.1410.93107.72104.0473.1398.0211.48107.72104覆冰无风算表 72.6697.9112.05107.72103.9572.2297.812.63107.72103.9171.8197.713.22107.72103.8771.4297.613.83107.72103.8371.0597.5114.45107.72103.7970.7197.4215.09107.72103.7670.3897.3415.74107.72103.7370.0797.2616.4107.72103.6969.7897.1817.08107.72103.6669.5197.117.77107.72103.6369.2597.0318.47107.72103.616996.9719.19107.72103.5868.7796.919.92107.72103.5568.5596.8420.66107.72103.5368.3496.7821.42107.72103.5168.1496.7322.19107.72103.4867.9596.6722.97107.72103.4667.7796.6223.77107.72103.4467.696.5724.58107.72103.4267.4496.5225.41107.72103.467.2896.4826.25107.72103.3867.1396.4427.1107.72103.3766.9996.3927.97107.72103.3566.8696.3528.84107.72103.3366.7396.3129.74107.72103.3266.6196.2830.64107.72103.366.4996.2431.56107.72103.2966.3796.2132.49107.72103.27

导线的千

米重量

kg/km导线截面

积mm2导线直

径

mm覆冰厚

度

mm风载体型系数设计风速

m/s风速不均匀

系数

m0sdbCva

环境温度

℃导线运行

温度℃铝层

截面积芯棒

截面积铝/芯

截面比线胀系数

1/℃安全系数刚敷设时

最大使用应

力MPa

T1T2αKσ0导自重比载

N/km·mm2冰重比载

N/km·mm2自重与冰重总比

载

N/km·mm2无冰时风压比载

N/km·mm2覆冰时风压比载

N/km·mm2

g1g2g3g4g5档距

m刚敷设时

最大弧垂

m刚敷设时

线长

m导线悬挂点应力

Mpa施工后线长

m

lfLσA=σBL导线比载计算表

导线应力弧垂计算表无冰有风综合比载

N/km·mm2有冰有风时综合比

载

N/km·mm2

g6g7

施工后弧垂

m施工后应力

Mpa

fσ0