瑞典条分法

来源：意榕旅游网

瑞典条分法

6050403020100-50-100-20-30-4050100150输入参数边坡参数边坡岩土参数计算参数台阶高度坡面角岩土比重m(°)3060161830100(kN/m3)自然安息角Ф(°)粘聚力C(kPa)分条数计算结果自动计算结果圆心坐标滑面圆弧半径xyR1.4859518总下滑力矩41.94808819总抗滑力矩41.97365741安全系数调整滑面位置计算结果输入滑面弧线圆心x坐标增量圆心坐标滑面圆弧半径xyR21.485952总下滑力矩31.17218487总抗滑力矩37.84765915安全系数202390651.69212919500.91mm200250边坡参数

台阶高度

坡面角

分条数量100

岩土比重

(kN/m

)

自然安息角Ф(°)粘聚力C(kPa)

161830

150212946.4748195052.32110.9159687720

2395.7572406568.75291.6960584xy

-40-36-32-28-24-20

-34.101615-31.1769145-27.7128-24.2487-20.7846-17.3205

000000

以下画4.5H直线x

00-30

13.375-30

26.75-30

310.125

-30

413.5-30

516.875-30

辅助线角度值边坡斜度i0边坡倾斜角θβ1（°）β2（°）1:0.563°26′29401:1.045°28371:1.533°41′26351:2.026°34′25351:3.018°26′25351:4.014°03′2536确定β1、β2角度β1β2

β1、β2函数方程β1y=x*tan(($kβ2y=-x*tan($P

由β1确定圆心所在位置

00.14859520.2929720.4394580.5859440.7324304.1948088198.361812.5844316.7792420.97404由β2确定圆心所在位置

17.3205080815.6884572714.05112.4243610.79239.1602

3031.229838532.4596833.65234.9193536.14919圆心所在直线

-10

48.12529908

5.52136.5

39.77397431.4226523.071325267.514.726.368674

第一次确定滑面位置圆心位置xyx

半径角度1.485951841.97366左右41.94808819-92-15.84-92-87-82-77-72

-4.2188E-153.6615917.3010.9068814.433

y00.03190.3829161.0502132.028768

分条计算总宽度分条宽度41.834793450.418347935

分条上端坐标分条下端坐标求面积

xyxy

三角形面积矩形面积圆弧面积 pabc

分条面积m2底面倾角条重Wi(KN/m)WisinβiWicosβ

0000

0.1515674310.11865140.0002732.1829250441.9736574141.973657410.4185352690.30600868-1.714339834.6138874-0.147490.4183480.72460.418348-0.012520.1515670.4616870.000252.1828741.97361.973660.4184310.613509-1.143099.816136-0.195830.8366961.44920.836696-0.020870.1515670.7674410.000242.1828441.97361.973660.4183690.919263-0.5719514.70821-0.146821.2550442.17381.255044-0.025040.1515671.0714510.000242.1828341.97361.973660.4183481.223273-0.0008819.57236-0.00031.6733922.841.673392-0.025050.1515671.3737160.000242.1828441.97361.973660.4183691.5255380.57020324.408610.242908

总滑动力矩总抗滑力矩安全系数Fs

4.39473829.81418314.7074719.5723624.4074-6.14808725-8.21952-6.16266-0.0125610.19575593.7676674660.7391727.3956793.717859.68360.915968772

重新确定滑面位置输入圆心横坐标增量第二次确定滑面位置圆心位置x21.485952y31.17218487-124.550915x0y0分条计算总宽度分条宽度59.294379770.592943798

角度半径37.84766左-124.551-122.551-120.5511.1009692.226749-0.73012-1.42138

右-1.77395-118.5513.375967-2.07292

边坡垂线经过斜率-0.57735-116.5514.7224-2.68397

分条上端x坐标y00.5929441.1858881.7788312.371775

01.0270092.00183.08102.108035

分条下端x坐标y求面积三角形面积

矩形面积圆弧面积 pabc

分条面积m底面倾角条重Wi(KN/m)Wisinβi

Wicosβ

0.3044792440.4230942050.00141034438.2053087937.8476591537.847659150.7152992770.7283793-34.009478411.66374069-6.52388058

0.5929441.1858881.7788312.371775

-0.400088

-0.7841698-1.1528147-1.5066

0.3044791.25370.00135938.20037.8476637.847660.70711.570375-32.933325.126-13.66010.3044792.0966580.00131238.1967637.8476637.847660.6981992.402449-31.8738.43918-20.29570.3044792.919780.00126838.1928837.8476637.847660.690443.225528-30.8151.60845-26.44040.3044793.7342020.00122938.12437.8476637.847660.6831584.03991-29.7792.63856-32.1033

总滑动力矩总抗滑力矩安全系数Fs

9.66860016221.0883632.43944.3208556.10276-273.831129-573.362-851.883-1109.8-1347.49931.07122281177.1991324.3851473.861625.3721.6960584

底座标

-16-12-13.85-10.3923

-8

-6.9282

-4-3.41

顶坐标

121610.392313.851

1824

030

04803.41026.9282030612

20.25-30723.625

-30827-30930.375-301033.75-301137.125

-301240.5-301343.875-301447.25-30

确定β1、β2交点

1.48595n(($k$6+$o$24)*pi()/180x

an($P$24*pi()/180)+$J$6y41.94809

圆心所在直线方程

y=(-$J$6-$X$24)/(4.5*$J$6-$X$23)*x+$X$24 -(-$J$6-$X$24)

0.87161.02021.1718881.3183741.486

25.1688529.3636633.5584737.7532841.9480900

7.5282035.61524.21022.632051137.3790338.6088739.8387141.06852.29838

-1.9826598.5114129.5145-10.334-18.6853-27.0366-35.388

-6717.86527-62-57-52-47-42-37-32-2721.170324.3253527.30230.0908332.6573734.9865137.06038.86366

3.3111334.88786.7460178.87239511.250513.8622316.6877119.70422.245

2.091743.6229992.09174-0.0200.1515671.6742370.000252.1828741.97361.973660.4184311.8260591.14133829.216940.5819662.5100884.3475992.510088-0.012550.1515671.9730120.000252.1829241.97361.973660.4185352.1248341.71258733.997341.0160392.9284365.0721992.928436-4.5E-050.1515672.270040.000252.18341.97361.973660.4186812.4218622.28400638.74981.42913.3467835.7967993.3467830.01610.1515672.565320.000252.1830941.97361.973660.4188682.7171422.85565343.474282.1658853.7651316.5213993.7651310.0375090.1515672.8588480.000252.1832141.97361.973660.4190983.0106713.42758448.170742.8799824.1834797.2459994.1834790.0625650.1515673.1506230.000252.1833441.97361.973660.4193693.3024473.99985852.839153.6857424.6018277.9705994.6018270.0918180.1515673.44010.00025742.1831.97361.973660.4196843.59246.57253157.479444.582325.0201758.6951995.0201750.1252760.1515673.72870.00025742.1836841.97361.973660.4200413.8807225.14566362.091555.5688725.4385239.4197985.4385230.1629480.1515674.0153870.00025842.1838841.97361.973660.4204414.1672135.71931166.6716.46

29.2111433.9821638.7190143.4202948.0845752.7104457.29961.8413166.343524.42722.687.8195390.91011120.88341.7041192.3367233.7459278.59925.2759990.47421055.2591119.6121183.5131246.9431309.8831372.3151434.22

线经过圆心方程截距方程43.593y=T77*x+U77-114.551-112.551-110.5515.7390936.950128.178832-3.25376-3.78161-4.26687边坡线方程斜率方程1.732051y=X77*x-108.551-106.5519.42373110.6833-4.706-5.10733两线交点坐标x18.817y32.6737-104.551-102.55111.95613.24029-5.4615-5.77104边坡顶点坐标x17.32051y30-100.551-98.550914.534615.83736-6.03557-6.276

2.97193.5576634.1506075.1350446.1620537.10614.743555.33945.9294386.5223827.1153267.7082698.216079.24307910.2700911.297112.3241113.35111

2.97193.5576634.150607

-1.845842

-2.171144

-2.482859

4.743555.33945.9294386.5223827.1153267.708269

-2.781359

-3.066991

-3.340074

-3.600903

-3.8497

-4.086878

0.3044794.01950.00119238.1858237.8476637.847660.67631.845867-28.750277.53387-37.29310.3044795.3380110.00115838.182637.8476637.847660.6698875.39-27.731290.29838-42.0180.3044796.1278810.00112738.1795837.8476637.847660.6638416.433488-26.7216102.9358-46.28570.3044796.9100180.00109938.1767437.8476637.847660.6581557.215596-25.721115.4495-50.10380.3044797.684620.00107238.1740637.8476637.847660.6528077.990171-24.7286127.8427-53.47930.3044798.4518690.00104738.1715537.8476637.847660.77778.757395-23.7442140.1183-56.41920.3044799.2119330.00102538.1691837.8476637.847660.30479.517437-22.7671152.279-58.92990.3044799.99690.00100438.1669637.8476637.847660.638610.27045-21.7971.3272-61.01790.30447910.711120.00098438.18737.8476637.847660.63442311.01659-20.8334176.26-62.61

67.9759179.9267691.94244104.0106116.1194128.2576140.4142152.57871.7409-1565.33-1763.65-1942.78-2103.04-2244.72-2368.12-2473.5-2561.14-2631.291778.6841933.57420.8322247.2592405.66625.8732724.7092885.0113045.619

2024283230444852

17.3205120.7846124.2487127.7128131.1769134.10238.1051241.5692245.03332

303030303030303030

1550.625-3016-301757.375-301860.75-3019.125-302067.5-302170.875

-302274.25-302377.625-30

*x+$X$24 -(-$J$6-$X$24)/(4.5*$J$6-$X$23)* $X$23

-22-17-15.84-15.84-15.84-15.84-15.84-15.84-15.8440.38211.6044741.8347941.8347941.8347941.8347941.8347941.8347941.83479

26.2244829.6761830303030303030

5.85687110.14445.8568710.2048470.1515674.3001070.00025942.184141.97361.973660.4208844.4519346.29353671.230947.808496.27521910.8696.2752190.2509860.1515674.583050.00022.1843441.97361.973660.4213724.7348786.86839675.758049.0598456.69356711.59366.6935670.3013770.1515674.82110.00026142.1846141.97361.973660.4219045.016047.44395180.2566310.397757.11191512.31827.1119150.3560370.1515675.1435830.00026242.184941.97361.973660.422485.29128.02026384.7265911.821337.53026313.04287.5302630.4149830.1515675.4211570.00026342.1852141.97361.973660.4231025.5729888.597393.1678113.329737.94861113.76747.9486110.4782330.1515675.6969270.000242.181.97361.973660.423775.8487599.170393.5801514.922058.36695914.4928.3669590.58060.1515675.9708840.000262.185941.97361.973660.4244856.12271.735797.9634816.597418.78530715.21668.7853070.6177240.1515676.2430190.00026742.1862841.97361.973660.4252466.39485310.33432102.317718.3929.20365515.94129.2036550.694010.1515676.5133210.00026942.1866941.97361.973660.4260566.66515710.91535106.2520.19367

70.8016575.2143679.5802483.78688.1658492.3827796.724100.6578104.7131327.7509380.2748436.43196.1846559.4974626.3329696.6770.4231847.60231495.581556.3741616.5861676.1961735.1861793.5381851.2331908.25319.579

-96.5509-94.5509-92.5509-90.5509-88.5509-86.5509-84.5509-82.5509-80.550917.1469718.4618419.7803721.1009522.4219723.7418325.05226.3716227.67835-6.42836-6.55615-6.63797-6.67372-6.66337-6.60692-6.50444-6.35606-6.16195

8.3012138.41579.48710110.0800410.6729911.2659311.8588812.4518213.0447614.3781215.4051316.4321417.4591518.4861619.5131720.01821.5671822.59419

8.3012138.41579.48710110.0800410.6729911.2659311.8588812.4518213.04476

-4.312512

-4.526873

-4.730163

-4.922569

-5.104265

-5.271

-5.436153

-5.586629

-5.726965

0.30447911.450530.00096638.1629137.8476637.847660.63050211.75597-19.8759188.0956-63.94960.30447912.183310.00094938.1610737.8476637.847660.62682512.48874-18.9242199.8198-.8050.30447912.909580.00093338.1593537.8476637.847660.6233813.21499-17.9779211.4399-65.26090.30447913.629450.00091938.1577437.8476637.847660.62015813.93485-17.0366222.9575-65.32270.30447914.343010.00090638.1562337.8476637.847660.61714914.84-16.1001234.3744-.99570.30447915.050370.000338.18337.8476637.847660.61434615.35574-15.1679245.6919-.28490.30447915.751590.00088238.1535337.8476637.847660.6117416.05696-14.2398256.9113-63.190.30447916.446770.00087238.1523237.8476637.847660.60932516.75212-13.3156268.0339-61.7320.30447917.135970.00086238.1512137.8476637.847660.60709417.44131-12.3948279.061-59.96

176.091.0192201.1165213.1737225.182237.1327249.0176260.8282272.5565-2684.2-2720.1-2739.24-2741.83-2728.11-2698.27-2652.-2591.12-2514.23206.3853367.163527.8063688.1853848.1674007.6224166.4274324.4481.603

5660687276808488

48.4974251.9615255.4256358.87362.3538365.8179369.2820372.7461376.21024

303030303030303024252627282930318184.375

87.7591.12594.597.875

101.25

104.625

-30-30-30-30-30-30-30-30-15.84-15.84-15.84-15.84-15.84-15.84-15.84-15.8441.8347941.8347941.8347941.8347941.8347941.8347941.8347941.83479

32108-30

3030303030303030

9.62200216.665.6220020.7746870.1515676.7817810.0002742.1871141.97361.973660.4269156.93361911.49753110.937922.1127610.0403517.390410.040350.8597820.1515677.0483860.00027242.1875741.97361.973660.4278237.20022612.0809115.203624.1112710.458718.11510.45870.9493230.1515677.3131260.00027442.18801.97361.973660.4287827.496812.66556119.439526.1882710.8770518.839610.877051.0433370.1515677.5759880.000272.18851.97361.973660.4297927.72783113.25155123.5328.3428211.2953919.5211.295391.1418570.1515677.8369580.00027842.10841.97361.973660.4308557.98880413.837127.820930.5739611.7137420.288811.713741.2449150.1515678.0960230.0002842.141.97361.973660.4319718.2478714.42787131.965932.8807512.1320921.013412.132091.35250.1515678.3531660.00028242.1902341.97361.973660.4331438.50501615.01833136.080335.262212.5504421.73812.550441.47850.1515678.6083740.000282.1908441.97361.973660.434378.76022615.61042140.163637.7173412.9687922.462612.968791.5816720.1515678.8616290.00028742.1914841.97361.973660.4356559.01348416.20424144.215740.24515

108.7117112.6522116.5331120.353124.1105127.804131.4322134.9935138.4865928.15361012.0381099.21711.6521283.3011380.1251480.0841583.13516.2362020.1932075.0772129.2122182.5812235.1632286.9422337.82388.0142437.269

-78.5509-76.5509-74.5509-72.5509-70.5509-68.5509-66.5509-.5509-62.550928.9775130.2675131.67932.8137934.0669635.3047736.5257337.7283338.91112-5.92236-5.63758-5.30795-4.93387-4.5158-4.025-3.979-3.00302-2.41462

13.6377114.2306514.8235915.41616.0094816.6024317.1953717.7883118.3812623.621224.82125.6752226.7022327.7292428.7562529.783253030

13.6377114.2306514.8235915.41616.0094816.6024317.1953717.7883118.38126

-5.857276

-5.977668

-6.088235

-6.1067

-6.28024

-6.361827

-6.4338

-6.498

-6.98

0.30447917.819250.000838.1501837.8476637.847660.60504218.12459-11.47732.9934-57.70280.30447918.496680.00084638.1492437.8476637.847660.60316518.80201-10.5628300.8321-55.140.30447919.168320.00083838.1483937.8476637.847660.60145619.47363-9.65096311.5781-52.23470.30447919.83420.00083238.1476237.8476637.847660.59991220.13951-8.7416322.2322-48.97240.30447920.494380.00082638.1469237.8476637.847660.5985320.79968-7.83446332.7949-45.36370.30447921.1480.00082138.1463137.8476637.847660.59730721.419-6.92929343.267-41.41320.363621.557550.00081738.1457837.8476637.847660.59623821.9248-6.02585350.7968-36.82570

21.656120.00081338.1453237.8476637.847660.59532321.65694-5.12392346.511-30.94690

21.684870.0008138.1449437.8476637.847660.59455821.68568-4.22326346.9709-25.552

284.1945295.7344307.1685318.41329.6886340.7597348.8585345.1263346.0287

-2422-2314.69-2192.48-2055.55-1904.08-1738.26-15.71-1298.96-1072.514637.744792.7574946.45098.9915249.9915399.4385508.556.49267.837

9296100104108112116

79.6743483.1384486.60290.06693.5307496.99485100.45

120124

103.923107.3872

3033

111.375

-303034-303035-3030303637124.875-30-303038

-303039-303030

40135-30

114.75

118.125

121.5128.25

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