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崩塌落石運動計算,,,,,,,,,,,,,,崩塌摩擦系數K取值,序號,山坡坡度角,K值計算公式

A-A剖面,坡度α,垂直距離,崩落摩擦系數K,cotα,落石的運動速度V（m/s）,落石的體積（V),落石密度ρ（kg/m3）,落石的質量kg,落石沖擊力F（KN）,滾石動能E（KJ）,,,,,1,0-30°,K=0.41+0.0043α

AB,50.8,30,0.71722368,0.816328838,15.61190765,,,0.288,0.014987431,0.035097359,,,,,,,

BC,41.2,154.98,0.62022528,1.143131352,33.58092821,,,0.288,0.032237691,0.162385739,,,,,,,

CD,48,26.2,0.685848,0.901173368,36.38417905,,,0.288,0.034928812,0.190628422,,25.872,,,,,

斜坡高度（m）,,211.18,,,,,,,,,,,,,,,

AB,82,13.75,0.04181,0.141280783,16.36789776,0.8,2700,2160,117.8488639,289.3407,,0.288,1.089288,,2,30-60°,K=0.543-0.0048α+0.000162α2

BC,34,33.16,0.5562,1.483523463,19.53352626,0.8,2700,2160,140.6413891,412.0833,,,,,3,60-90°,K=1.05-0.0125α+0.0000025α

CD,67,7.8,0.2237225,0.425174627,22.80123966,0.8,2700,2160,164.1689255,561.4883,,,,"落石運動計算使用說明：

坡度處輸入各剖面分段坡度角。

垂直距離處輸入分段內垂直高度。

崩塌摩擦系數K按右側表取值。

落石體積自己輸入

紅色是需要自己輸入的，藍色是計算得到的。",,,

DE,13,3.1,0.4659,4.333750095,21.40038243,0.8,2700,2160,154.0827535,494.6145,,,,,,,

B-B,,,,,,,,,,,,,,,,,

AB,48,10,0.685848,0.901173368,8.652091155,0.8,2700,2160,62.29505631,80.8474,,,,,,,

BC,40,70,0.6102,1.192610546,21.17573638,0.8,2700,2160,152.4653019,484.2848,,,,,,,

CD,31,26,0.549882,1.665313982,22.16659082,0.8,2700,2160,159.5994539,530.6664,,,,,,,

C-C,,,,,,,,,,,,,,,,,

AB,57,27,0.795738,0.650124864,15.98216074,0.8,2700,2160,115.0715573,275.8638,,,,,,,

BC,29,55.7,0.5347,1.805139964,17.12927945,0.8,2700,2160,123.3308121,316.8852,,,,,,,

D-D,,,,,,,,,,,,,,,,,

,58,18.9,0.809568,0.62558315,13.52146014,0.8,2700,2160,97.35451301,197.4563,,,,,,,

E-E,,,,,,,,,,,,,,,,,

,38,61.7,0.594528,1.280829065,16.98341645,0.8,2700,2160,122.2805984,311.5113,,,,,,,

,48,38,0.685848,0.901173368,23.93531749,0.8,2700,2160,172.3342859,618.7314,,,,,,,

,35,34.6,0.57345,1.429089737,26.36853234,0.8,2700,2160,189.8534329,750.9235,,,,,,,

,24,14.4,0.521112,2.247320998,25.43632359,0.8,2700,2160,183.1415298,698.7671,,,,,,,

,,,,,,,,,,,,,,,,,,

F-F,53,13.58,0.743658,0.754289547,10.8104331,0.8,2700,2160,77.83511833,126.2147,,,,,,,

,33,18.74,0.561018,1.540849747,12.9095144,0.8,2700,2160,92.94850368,179.9880,,,,,,,

,,,,,,,,,,,,,,,,,,

Ⅰ-Ⅰ,53,21.7,0.743658,0.754289547,13.66542288,0.2,2700,540,24.59776118,50.4208,,0.288,0.455058,,,,

1-2危巖,57,41.5,0.795738,0.650124864,24.06965571,0.2,2700,540,43.32538027,156.4240,,,,,,,

,51,91.9,0.719562,0.810531467,36.46992413,0.2,2700,540,65.64586343,359.1149,,,,,,,

,41,44.1,0.618522,1.151211602,39.73597972,0.2,2700,540,71.5247635,426.3160,,,,,,,

,28,21.5,0.5304,1.881851046,39.74587404,0.2,2700,540,71.54257328,426.5283,,,,,,,

,36,60.4,0.580152,1.377304289,42.63369652,0.2,2700,540,76.74065373,490.7607,,,,,,,

,31,44.8,0.549882,1.665313982,43.49288715,0.2,2700,540,78.28719686,510.7404,,,,,,,

,,,,,,,,,,,,,,,,,,

1-1危巖,48,48,0.685848,0.901173368,18.95578198,0.4,2700,1080,68.24081513,194.0337,,,,,,,

,32,33,0.555288,1.601343262,20.76012473,0.4,2700,1080,74.73644902,232.7307,,,,,,,

,45,65.7,0.65505,1.000796644,29.57211198,0.4,2700,1080,106.4596031,472.2353,,,,,,,

,37,44.4,0.587178,1.327949123,32.65251422,0.4,2700,1080,117.5490512,575.7408,,,,,,,

Ⅱ-Ⅱ,,,,,,,,,,,,,,,,,

2-1危巖,35,22.7,0.57345,1.429089737,8.961190724,0.3,2700,810,24.19521495,32.5227,,,,,,,

,42,212.5,0.627168,1.111442854,36.63389471,0.3,2700,810,98.91151572,543.5271,,,,,,,

,49,113.85,0.696762,0.870048201,47.12488001,0.3,2700,810,127.237176,899.4055,,,,,,,

,34,57,0.567072,1.483523463,48.97033271,0.3,2700,810,132.2198983,971.2279,,,,,,,

,25,36.7,0.5175,2.145745998,48.15250372,0.3,2700,810,130.01176,939.0588,,,,,,,

,,,,,,,,,,,,,,,,,,

2-2危巖,35,30.7,0.57345,1.429089737,10.42130196,0.4,2700,1080,37.51668705,58.6459,,,,,,,

,49,103.9,0.696762,0.870048201,30.1748232,0.4,2700,1080,108.6293635,491.6808,,,,,,,

,34,57,0.567072,1.483523463,32.98270948,0.4,2700,1080,118.7377541,587.4439,,,,,,,

,25,36.7,0.5175,2.145745998,31.75577513,0.4,2700,1080,114.3207905,544.5518,,,,,,,

Ⅲ-Ⅲ,,,,,,,,,,,,,,,,,

,58,73.5,0.809568,0.62558315,26.66467899,0.3,2700,810,71.99463328,287.9571,,,,,,,

,40,24.4,0.6102,1.192610546,29.00370759,0.3,2700,810,78.31001049,340.6921,,,,,,,

,49,72.7,0.696762,0.870048201,37.44763015,0.3,2700,810,101.1086014,567.9416,,,,,,,

,30,18.4,0.5448,1.733113065,37.71536446,0.3,2700,810,101.831484,576.0917,,,,,,,

,52,49.6,0.731448,0.782026841,42.87798457,0.3,2700,810,115.7705583,744.6012,,,,,,,

,,,,,,,,,,,,,,,,,,

Ⅳ-Ⅳ,37,37.7,0.587178,1.327949123,12.75745525,0.3,2700,810,34.44512917,65.9148,,,,,,,

,59,89.5,0.823722,0.601571351,32.36816684,0.3,2700,810,87.39405048,424.3178,,,,,,,

,45,76.8,0.65505,1.000796644,39.57472733,0.3,2700,810,106.8517638,634.2944,,,,,,,

,34,30.7,0.567072,1.483523463,40.76362714,0.3,2700,810,110.0617933,672.9777,,,,,,,

Ⅴ-Ⅴ,,,,,,,,,,,,,,,,,

,41,227.7,0.618522,1.151211602,35.84827946,0.3,2700,810,96.79035455,520.4652,,,,,,,

,30,99.5,0.5448,1.733113065,37.33524213,0.3,2700,810,100.8051537,564.5377,,,,,,,

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落石騰躍最大高度,,,,,,,,,,,,,,,,,

,初始速度,初始速度對應坡度角α,初速度開3次方,β（度）,tanα,,,cotβ,Lax,Hmax,,,,"落石騰躍高度計算使用說明：

初始速度：輸入你所要求解斷面中墜落后的速度。例如：A-A斷面，AB段落在B點后的速度。最大攔截高度在于初始速度大小。用于設置擋墻位置與高度。

",,,

AB,,,,,,,,,,,,,,,,,

BC,33.58,41.2,3.22,64.27273982,0.874790109,,,0.482554535,0.213798775,0.187029054,,,,,,,

CD,16.6,45,2.55,78.43137255,0.99920399,,,0.205423107,0.512038693,0.511631105,,,,,,,

A-A,21.40038243,13,2.776347637,78.69651697,0.230747039,,,0.20060717,0.088429807,0.020405,,,,,,,

B-B,22.16659082,31,2.80909419,78.06391458,0.600487362,,,0.212112604,6.025970369,3.618519,,,,,,,

C-C,17.12927945,29,2.577783057,85.58603161,0.553973664,,,0.077952877,6.086305738,3.371653,,,,,,,

D-D,13.52146014,58,2.382362608,69.8839414,1.598508528,,,0.366967323,7.800211612,12.468705,,,,,,,

E-E,25.43632359,24,2.940930629,75.62232099,0.444974261,,,0.257054347,2.457393929,1.093477,,,,,,,

Ⅰ-Ⅰ,43.49288715,31,3.516733129,62.35585154,0.600487362,,,0.524472181,0.728354506,0.437368,,,,,,,

Ⅱ-Ⅱ,48.15250372,25,3.638085973,61.08217999,0.466038385,,,0.553141135,1.474660805,0.687249,,,,,,,

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,,崩塌落石彈跳計算,,,,,,,,,,,,,,,

AB,λ,ρ,φ,tanφ,cosφ,,,tanγ,反射角γ,cosγ,,sinγ,VR,反射速度V0,石塊第一次彈跳的最大高度Hmax,相應的最大水平距離Lmax,彈跳設計高度（m）

坡腳彈跳,0.4,0.3,13,0.230747039,0.974395933,,,0.115373519,28,0.883063876,,0.486476968,21.40038243,14.1682473,0.171074242,11.74208223,1.671074242

CD,,,,,,,,,,,,,,,,,

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