瑞典圆弧条分法.xls

台阶高度m30 坡面角()60 岩土比重 (kN/m3 3) ) 16 自然安息角()18 粘聚力C(kPa)30 计算参数分条数100 瑞典条分法瑞典条分法 边坡参数 边坡岩土参数 输入参数输入参数 -40 -30 -20 -10 0 10 20 30 40 50 60 -50050100150 x1.464859518总下滑力矩 y41.94808819总抗滑力矩 滑面圆弧半径Rm41.97365741安全系数 x21.46485952总下滑力矩 y31.17218487总抗滑力矩 滑面圆弧半径Rm37.84765915安全系数1.696540584 圆心坐标 212946.4748 195052.3211 0.915968772 239645.7572 406568.7529 自动计算结果 圆心坐标 调整滑面位置计算结果 输入滑面弧线圆心x坐标增量20 计算结果计算结果 台阶高度坡面角 3060 分条数量100 岩土比重 (kN/m3 3) ) 16 自然安息角 ()18 粘聚力C(kPa)30 边坡参数 150200250 1.696540584 212946.4748 195052.3211 0.915968772 239645.7572 406568.7529 -40-36-32-28-24-20 x-34.64101615 -31.1769145 -27.7128 -24.2487 -20.7846 -17.3205 y000000 012345 x03.3756.7510.12513.516.875 y-30-30-30-30-30-30 边坡斜度i0边坡倾斜角 1（）2（） 1:0.563262940 1:1.0452837 1:1.533412635 1:2.026342535 1:3.018262535 1:4.014032536 1 2 1y=x*tan($k$6+$o$24)*pi()/180) 2837 2y=-x*tan($P$24*pi()/180)+$J$6+$J$6/TAN($K$6*PI()/180)*TAN($P$24*PI()/180) x0 0.146485952 0.292972 0.439458 0.5859440.73243 y0 4.194808819 8.389618 12.58443 16.77924 20.97404 x17.32050808 15.68845727 14.05641 12.4243610.7923 9.160254 y3031.2298385 32.45968 33.68952 34.91935 36.14919 -105.52136.55267.5 48.1252990839.773974 31.42265 23.0713214.72 6.368674 半径 x1.464859518 41.97366 左右 y41.94808819-92 -15.8894 -92-87-82-77-72 x-4.2188E-15 3.661591 7.306464 10.90688 14.43543 以下画4.5H直线 辅助线角度值 确定 1、 2角度 1、 2函数方程 圆心所在直线 第一次确定滑面位置 圆心位置角度 由 1确定圆心所在位置 由 2确定圆心所在位置 y0 0.031954 0.382916 1.050213 2.028768 总宽度分条宽度 41.83479345 0.418347935 x0 0.418348 0.836696 1.255044 1.673392 y00.72461.44922.17382.8984 x0 0.418348 0.836696 1.255044 1.673392 y0 -0.01252 -0.02087 -0.02504 -0.02505 求面积三角形面积0.151567431 0.151567 0.151567 0.151567 0.151567 矩形面积0.154186514 0.461687 0.767441 1.071451 1.373716 圆弧面积 0.000254735 0.000255 0.000254 0.000254 0.000254 p42.18292504 42.18287 42.18284 42.18283 42.18284 a41.97365741 41.97366 41.97366 41.97366 41.97366 b41.97365741 41.97366 41.97366 41.97366 41.97366 c0.418535269 0.418431 0.418369 0.418348 0.418369 分条面积m2 0.30600868 0.613509 0.919263 1.223273 1.525538 底面倾角-1.71433983 -1.14309 -0.57195 -0.00088 0.570203 条重Wi(KN/m)4.896138874 9.816136 14.70821 19.57236 24.40861 Wisin i -0.1464749 -0.19583 -0.14682-0.0003 0.242908 Wicos i 4.893947382 9.814183 14.70747 19.5723624.4074 总滑动力矩 -6.14808725 -8.21952 -6.16266 -0.01256 10.19575 总抗滑力矩 593.7676674 660.7391 727.3956793.717 859.6836 安全系数Fs0.915968772 20 半径 x21.46485952 37.84766 左右斜率 y31.17218487-124.551 -1.77395 -0.57735 -124.550915 -122.551 -120.551 -118.551 -116.551 x0 1.100969 2.226749 3.375967 4.547224 y0 -0.73012 -1.42138 -2.07292 -2.68397 总宽度分条宽度 59.29437977 0.592943798 x0 0.592944 1.185888 1.778831 2.371775 y0 1.027009 2.054018 3.081026 4.108035 重新确定滑面位置 输入圆心横坐标增量 分条上端 坐标 分条下端 坐标 分条计算 第二次确定滑面位置 圆心位置角度边坡垂线经过圆心方程 分条计算 分条上端 坐标 x0 0.592944 1.185888 1.778831 2.371775 y0-0.400088 -0.7841698 -1.1528147 -1.506546 求面积三角形面积0.304479244 0.304479 0.304479 0.304479 0.304479 矩形面积0.423094205 1.264537 2.0966582.91978 3.734202 圆弧面积 0.001410344 0.001359 0.001312 0.001268 0.001229 p38.20530879 38.20089 38.19676 38.19288 38.18924 a37.84765915 37.84766 37.84766 37.84766 37.84766 b37.84765915 37.84766 37.84766 37.84766 37.84766 c0.715299277 0.706471 0.6981990.69044 0.683158 分条面积m2 0.728983793 1.570375 2.402449 3.2255284.03991 底面倾角-34.0094784 -32.9333-31.87 -30.8189 -29.7792 条重Wi(KN/m)11.6637406925.126 38.43918 51.60845 64.63856 Wisin i -6.52388058 -13.6601 -20.2957 -26.4404 -32.1033 Wicos i 9.668600162 21.08836 32.64439 44.32085 56.10276 总滑动力矩 -273.831129 -573.362 -851.883-1109.8 -1347.49 总抗滑力矩 931.0712228 1177.199 1324.3851473.86 1625.372 安全系数Fs1.696540584 分条下端 坐标 底座标顶坐标 015 030 -16-12-8-40481216 -13.8564 -10.3923-6.9282-3.46410 3.464102 6.92820310.3923 13.85641 000006121824 67891011121314 20.2523.6252730.37533.7537.12540.543.87547.25 -30-30-30-30-30-30-30-30-30 y=x*tan($k$6+$o$24)*pi()/180)x 1.4648595y=(-$J$6-$X$24)/(4.5*$J$6-$X$23)*x+$X$24 -(-$J$6-$X$24)/(4.5*$J$6-$X$23)* $X$23 y=-x*tan($P$24*pi()/180)+$J$6+$J$6/TAN($K$6*PI()/180)*TAN($P$24*PI()/180)y41.94809 0.878916 1.025402 1.171888 1.3183741.464860 25.16885 29.36366 33.55847 37.75328 41.948090 7.528203 5.896152 4.264102 2.6320511 37.37903 38.60887 39.83871 41.06855 42.29838 8398.5114129.5145 -1.98265-10.334 -18.6853 -27.0366-35.388 -67-62-57-52-47-42-37-32-27 17.8652721.1703 24.32535 27.30642 30.09083 32.65737 34.98651 37.06054 38.86366 圆心所在直线方程确定 1、 2交点 3.311133 4.887548 6.746017 8.87239511.2505 13.86223 16.68771 19.70544 22.89245 2.09174 2.510088 2.928436 3.346783 3.765131 4.183479 4.601827 5.020175 5.438523 3.622999 4.347599 5.072199 5.796799 6.521399 7.245999 7.970599 8.695199 9.419798 2.09174 2.510088 2.928436 3.346783 3.765131 4.183479 4.601827 5.020175 5.438523 -0.02089 -0.01255 -4.5E-05 0.016641 0.037509 0.062565 0.091818 0.125276 0.162948 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 1.674237 1.9730122.270042.56532 2.858848 3.150623 3.440641 3.728897 4.015387 0.000255 0.000255 0.000255 0.000255 0.000256 0.000256 0.000257 0.000257 0.000258 42.18287 42.1829242.183 42.18309 42.18321 42.1833442.1835 42.18368 42.18388 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 0.418431 0.418535 0.418681 0.418868 0.419098 0.419369 0.419684 0.420041 0.420441 1.826059 2.124834 2.421862 2.717142 3.010671 3.302447 3.592465 3.880722 4.167213 1.141338 1.712587 2.284006 2.855653 3.427584 3.999858 4.572531 5.145663 5.719311 29.21694 33.9973438.7498 43.47428 48.17074 52.83915 57.47944 62.09155 66.67541 0.581966 1.016039 1.544291 2.165885 2.879982 3.6857424.58232 5.568872 6.644546 29.21114 33.98216 38.71901 43.42029 48.08457 52.71044 57.29649 61.8413166.3435 24.42725 42.64687 64.81953 90.91011 120.8834 154.7041 192.3367 233.7459 278.8959 925.2759 990.4742 1055.259 1119.612 1183.513 1246.943 1309.883 1372.3151434.22 截距方程斜率方程x18.86417 x17.32051 43.56493 y=T77*x+U771.732051 y=X77*xy32.6737 y30 -114.551 -112.551 -110.551 -108.551 -106.551 -104.551 -102.551 -100.551 -98.5509 5.7390936.95012 8.178832 9.42373110.683311.956 13.2402914.5346 15.83736 -3.25376 -3.78161 -4.26687 -4.70896 -5.10733-5.4615 -5.77104 -6.03557 -6.25476 2.964719 3.557663 4.1506074.74355 5.336494 5.929438 6.522382 7.115326 7.708269 5.135044 6.162053 7.1890618.21607 9.243079 10.2700911.2971 12.32411 13.35111 边坡垂线经过圆心方程边坡线方程两线交点坐标边坡顶点坐标 2.964719 3.557663 4.1506074.74355 5.336494 5.929438 6.522382 7.115326 7.708269 -1.845842-2.171144-2.482859-2.781359-3.066991-3.340074-3.600903-3.849754-4.086878 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 4.540195 5.338011 6.127881 6.9100187.68462 8.451869 9.211933 9.964969 10.71112 0.001192 0.001158 0.001127 0.001099 0.001072 0.001047 0.001025 0.001004 0.000984 38.1858238.1826 38.17958 38.17674 38.17406 38.17155 38.16918 38.16696 38.16487 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 0.676316 0.669887 0.663841 0.658155 0.652807 0.647777 0.6430470.6386 0.634423 4.845867 5.643649 6.433488 7.215596 7.990171 8.757395 9.517437 10.27045 11.01659 -28.7502 -27.7312 -26.7216-25.721 -24.7286 -23.7442 -22.7671-21.797 -20.8334 77.53387 90.29838 102.9358 115.4495 127.8427 140.1183152.279 164.3272 176.2654 -37.2931-42.018 -46.2857 -50.1038 -53.4793 -56.4192 -58.9299 -61.0179 -62.6891 67.97591 79.92676 91.94244 104.0106 116.1194 128.2576 140.4142 152.5787 164.7409 -1565.33 -1763.65 -1942.78 -2103.04 -2244.72 -2368.12-2473.5 -2561.14 -2631.29 1778.684 1933.574 2089.832 2247.259 2405.666 2564.873 2724.709 2885.011 3045.619 202428323640444852 17.32051 20.78461 24.24871 27.71281 31.17691 34.64102 38.10512 41.56922 45.03332 303030303030303030 151617181920212223 50.6255457.37560.7564.12567.570.87574.2577.625 -30-30-30-30-30-30-30-30-30 y=(-$J$6-$X$24)/(4.5*$J$6-$X$23)*x+$X$24 -(-$J$6-$X$24)/(4.5*$J$6-$X$23)* $X$23 -22-17 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 40.38216 41.60447 41.83479 41.83479 41.83479 41.83479 41.83479 41.83479 41.83479 26.22448 29.6761830303030303030 5.856871 6.275219 6.693567 7.111915 7.530263 7.948611 8.366959 8.785307 9.203655 10.144410.86911.593612.318213.042813.767414.49215.216615.9412 5.856871 6.275219 6.693567 7.111915 7.530263 7.948611 8.366959 8.785307 9.203655 0.204847 0.250986 0.301377 0.356037 0.414983 0.478233 0.545806 0.6177240.69401 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 4.3001074.58305 4.864211 5.143583 5.421157 5.696927 5.970884 6.243019 6.513321 0.0002590.00026 0.000261 0.000262 0.000263 0.000264 0.000266 0.000267 0.000269 42.1841 42.18434 42.1846142.1849 42.18521 42.1855442.1859 42.18628 42.18669 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 0.420884 0.421372 0.4219040.42248 0.4231020.42377 0.424485 0.425246 0.426056 4.451934 4.7348785.01604 5.295412 5.572988 5.848759 6.122718 6.394853 6.665157 6.293536 6.868396 7.443951 8.020263 8.597393 9.175403 9.754357 10.33432 10.91535 71.23094 75.75804 80.25663 84.72659 89.16781 93.58015 97.96348 102.3177 106.6425 7.80849 9.059845 10.39775 11.82133 13.32973 14.92205 16.59741 18.35492 20.19367 70.80165 75.21436 79.58024 83.89786 88.16584 92.38277 96.54724 100.6578 104.7131 327.7509 380.2748 436.4316 496.1846 559.4974 626.3329696.654 770.4231 847.6023 1495.58 1556.374 1616.586 1676.196 1735.186 1793.538 1851.233 1908.253 1964.579 -96.5509 -94.5509 -92.5509 -90.5509 -88.5509 -86.5509 -84.5509 -82.5509 -80.5509 17.14697 18.46184 19.78037 21.10095 22.42197 23.74183 25.05892 26.37162 27.67835 -6.42836 -6.55615 -6.63797 -6.67372 -6.66337 -6.60692 -6.50444 -6.35606 -6.16195 8.301213 8.894157 9.487101 10.08004 10.67299 11.26593 11.85888 12.45182 13.04476 14.37812 15.40513 16.43214 17.45915 18.48616 19.51317 20.54018 21.56718 22.59419 8.301213 8.894157 9.487101 10.08004 10.67299 11.26593 11.85888 12.45182 13.04476 -4.312512-4.526873-4.730163-4.922569-5.104265-5.27541-5.436153-5.586629-5.726965 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 0.304479 11.45053 12.18331 12.90958 13.62945 14.34301 15.05037 15.75159 16.44677 17.13597 0.000966 0.000949 0.000933 0.000919 0.000906 0.000893 0.000882 0.000872 0.000862 38.16291 38.16107 38.15935 38.15774 38.15623 38.15483 38.15353 38.15232 38.15121 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 37.84766 0.630502 0.6268250.62338 0.620158 0.617149 0.6143460.61174 0.609325 0.607094 11.75597 12.48874 13.21499 13.9348514.6484 15.35574 16.05696 16.75212 17.44131 -19.8759 -18.9242 -17.9779 -17.0366 -16.1001 -15.1679 -14.2398 -13.3156 -12.3948 188.0956 199.8198 211.4399 222.9575 234.3744 245.6919 256.9113 268.0339279.061 -63.9496-64.805 -65.2609 -65.3227 -64.9957 -64.2849 -63.1954-61.732 -59.8996 176.8909 189.0192 201.1165 213.1737225.182 237.1327 249.0176 260.8282 272.5565 -2684.2-2720.1 -2739.24 -2741.83 -2728.11 -2698.27 -2652.54 -2591.12-2514.2 3206.3853367.16 3527.806 3688.185 3848.167 4007.622 4166.4274324.46 4481.603 566064687276808488 48.49742 51.96152 55.42563 58.88973 62.35383 65.81793 69.28203 72.74613 76.21024 303030303030303030 242526272829303132 8184.37587.7591.12594.597.875101.25104.625108 -30-30-30-30-30-30-30-30-30 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 -15.8894 41.83479 41.83479 41.83479 41.83479 41.83479 41.83479 41.83479 41.83479 3030303030303030 9.622002 10.0403510.4587 10.87705 11.29539 11.71374 12.13209 12.55044 12.96879 16.665817.390418.11518.839619.564220.288821.013421.73822.4626 9.622002 10.0403510.4587 10.87705 11.29539 11.71374 12.13209 12.55044 12.96879 0.774687 0.859782 0.949323 1.043337 1.141857 1.244915 1.352545 1.464785 1.581672 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 0.151567 6.781781 7.048386 7.313126 7.575988 7.836958 8.096023 8.353166 8.608374 8.861629 0.00027 0.000272 0.000274 0.000276 0.0002780.00028 0.000282 0.000285 0.000287 42.18711 42.18757 42.18805 42.18855 42.18908 42.18964 42.19023 42.19084 42.19148 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 41.97366 0.426915 0.427823 0.428782 0.429792 0.430855 0.431971 0.4331430.43437 0.435655 6.933619 7.200226 7.464968 7.727831 7.9888048.24787 8.505016 8.760226 9.013484 11.4975312.0809 12.66556 13.25155 13.83897 14.42787 15.01833 15.61042 16.20424 110.9379 115.2036 119.4395 123.6453 127.8209 131.9659 136.0803 140.1636 144.2157 22.11276 24.11127 26.18827 28.34282 30.57396 32.8807535.2622 37.71734 40.24515 108.7117 112.6522 116.5331120.353 124.1105127.804 131.4322 134.9935 138.4865 928.1536 1012.038 1099.217 1189.652 1283.301 1380.125 1480.084 1583.135 1689.236 2020.193 2075.077 2129.212 2182.581 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