公路隧道計算表格

,截面與豎軸的夾角,,,,,,,,,,,,,,

Φ1,13.5973,Φ5,77.1809,,,,,,,,,,,,

Φ2,27.1946,Φ6,96.2171,,,,,,,,,,,,

Φ3,40.7919,Φ7,124.3127,,,,,,,,,,,,

Φ4,58.1447,Φ8,164.5002,,,,,,,,,,,,

表4.2,,,,,,,,,,,,,,,

,曲墻拱結構幾何要素及δik計算過程表（一）,,,,,,,,,,,,,,

截面,Φi,sinΦi,cosΦi,xi(m),yi(m),di(m),,,,,,,,,

0,0.000000,0.000000,1.00000,0.000000,0.000000,0.500000,,,,,,,,,

1,13.621200,0.235502,0.97187,1.566087,0.187038,0.500000,,,,,,,,,

2,27.302400,0.458687,0.88860,3.050267,0.740823,0.500000,,,,,,,,,

3,40.953600,0.655448,0.75524,4.358727,1.627650,0.500000,,,,,,,,,

4,58.446800,0.852155,0.52329,5.405105,2.820872,0.500000,,,,,,,,,

5,77.558500,0.976516,0.21544,5.981953,4.283147,0.500000,,,1.79031E-08,,,,,,

6,96.670200,0.993231,-0.11615,6.066867,5.858232,0.500000,,,,,,,,,

7,125.030100,0.818851,-0.57401,5.616353,7.361815,0.600000,,0.000836459,,20940,,,,,

8,164.499900,0.267240,-0.96363,4.347652,8.257949,0.600000,,0.000836459,,,-20.45,,,,

表4.2,,,,,,,,,,,,,,,

,曲墻拱結構幾何要素及δik計算過程表（二）,,,,,,,ΔS,E,,,,,,

截面,Ii,1/Ii,yi/Ii,yi2/Ii,(1+yi)2/Ii,積分系數(shù),,1.58442,2.95E+07,1.79031E-08,,X1p,X2p,,

0,0.010417,96.000000,0.000000,0.000000,96.000000,1,δ11=,3.76E-05,,a11=,2.60E-04,683.377573,257.1946985,,

1,0.010417,96.000000,17.955648,3.358388,135.269684,4,δ12=,1.12E-04,,a12=,1.95E-03,,,,

2,0.010417,96.000000,71.119008,52.686597,290.924613,2,δ22=,5.75E-04,,a22=,1.57E-02,,,,

3,0.010417,96.000000,156.254400,254.327474,662.836274,4,Δ1p=,-6.35E-02,,a1p=,-6.78E-01,,,,

4,0.010417,96.000000,270.803712,763.902609,1401.510033,2,Δ2p=,-2.99E-01,,a2p=,-5.38E+00,,,,

5,0.010417,96.000000,411.182112,1761.153429,2679.517653,4,β1=,2.22E-04,,,,,,,

6,0.010417,96.000000,562.390272,3294.612688,4515.393232,2,βap0=,-6.15E-01,,,,,,,

7,0.018000,55.555556,408.989722,3010.906672,3884.441672,4,Δsp,-0.362229397,,,,,,,

8,0.018000,55.555556,458.774944,3788.540094,4761.645538,1,,,,,,,,,

Σ,,2101.777778,6244.928457,32129.927737,46721.562429,,,,,,,,,,

表4.3,,,,,,,,,,,,,,,

,,,bi、hi取值,,,,,,,,,,,,

截面,1,2,3,4,5,6,7,8,,,,,,,

bi(m),1.6222,1.5312,1.3545,1.0826,0.6285,0.1246,0,0,,,,,,,

hi(m),0.1934,0.5693,0.9134,1.2415,1.5295,1.6508,1.6029,0.9998,,,,,,,

表4.3,,,,,,,,,,,,,,,

,,,Mip0計算過程表（二）,,,,,,,,,,,,

截面,Qi(KN),Wi(KN),Ei(KN),aq(m),aw(m),ae(m),-Qiaq(KN/m),-Wiaw(KN/m),-Eiae(KN/m),q(kpa),e(kpa),ΔS(m),,,

0,0,0,0,0,0,0,0,0,0,105.069,55.2633,1.58442,,,

1,170.4429,18.220830,10.687922,0.7563,0.7828,0.3397,-128.9059893,-14.26326572,-3.630687178,,,,,,

2,160.8817,18.220830,31.461397,0.6514,0.7411,0.5070,-104.7983086,-13.50345711,-15.95092812,,,,,,

3,142.3160,18.220830,50.477498,0.5139,0.6579,0.6460,-73.1361721,-11.98748406,-32.60846385,,,,,,

4,113.7477,18.220830,68.609387,0.3289,0.5250,0.7527,-37.41161833,-9.56593575,-51.64228556,,,,,,

5,66.0359,18.220830,84.525217,0.0705,0.3105,0.8202,-4.655528588,-5.657567715,-69.32758327,,,,,,

6,13.0916,18.220830,91.228656,-0.2156,0.0582,0.7982,2.822548399,-1.060452306,-72.81871293,,,,,,

7,0.0000,20.042913,88.581544,0.0000,-0.2256,0.6605,0,4.521681173,-58.50810953,,,,,,

8,0.0000,21.864996,55.252247,0.0000,-0.6069,0.2590,0,13.26986607,-14.31033206,,,,,,

表4.3,,,,,,,,,,,,,,,

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

截面,,,Δxi,Δyi,,,,,,,,,,,

0,0,0,0,0,0,0,0,,,,,,,,

1,0,0,1.566087,0.187038,0,0,-146.7999422,,-64.94568872,,,,,,

2,188.6637618,10.68792222,1.48418,0.553785,-280.010982,-5.918811007,-566.9824291,,-37.14288864,,,,,,

3,367.7662446,42.14931891,1.30846,0.886827,-481.2074204,-37.37915404,-1203.301124,,-11.78568836,,,,,,

4,528.3030351,92.62681713,1.046378,1.193222,-552.8046733,-110.524356,-1965.249992,,9.701735596,,,,,,

5,660.2715645,161.2362041,0.576848,1.462275,-380.8763314,-235.7716703,-2661.538674,,24.12075297,,,,,,

6,744.528261,245.7614214,0.084914,1.575085,-63.22087275,-387.0951285,-3182.911292,,30.26507194,,,,,,

7,775.8406884,336.9900771,-0.450514,1.503583,349.5270919,-506.6925511,-3394.063179,,29.95014494,,,,,,

8,795.8836014,425.5716206,-1.268701,0.896134,1009.738321,-381.3691987,-2766.734523,,13.26986607,,,,,,

表4.3,,,,,,,,,-6.566694206,,,,,,

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

截面,sinΦi,cosΦi,,,,,,,,,,,,,

0,0.000000,1.000000,0.000000,0.000000,0,0,0,,,,,,,,

1,0.235502,0.971874,188.663762,-10.687922,44.43064194,-10.38731297,34.04332897,,,,,,,,

2,0.458687,0.888598,367.766245,-42.149319,168.6895105,-37.45380149,131.2357091,,,,,,,,

3,0.655448,0.755241,528.303035,-92.626817,346.274965,-69.95553654,276.3194284,,,,,,,,

4,0.852155,0.523290,660.271565,-161.236204,562.6534773,-84.37330025,478.2801771,,,,,,,,

5,0.976516,0.215443,744.528261,-245.761421,727.0441181,-52.94750626,674.0966118,,,,,,,,

6,0.993231,-0.116154,775.840688,-336.990077,770.5891779,39.14279146,809.7319694,,,,,,,,

7,0.818851,-0.574007,795.883601,-425.571621,651.7097865,244.280946,895.9907325,,,,,,,,

8,0.267240,-0.963630,817.748597,-480.823868,218.5352211,463.3362913,681.8715124,,,,,,,,

表4.4,,,,,,,,,,,,,,,

,,,Δip和Δ2p的計算過程表,,,,,,,,,,,,

截面,,,yi,1+yi,,,,積分系數(shù),,,,,,,

0,0,96,0,1,0,0,0,1,,,,,,,

1,-146.7999422,96,0.187038,1.187038,-14092.79445,-2635.888089,-16728.68254,4,,,,,,,

2,-566.9824291,96,0.740823,1.740823,-54430.31319,-40323.22791,-94753.5411,2,,,,,,,

3,-1203.301124,96,1.62765,2.62765,-115516.9079,-188021.0951,-303538.0029,4,,,,,,,

4,-1965.249992,96,2.820872,3.820872,-188663.9993,-532196.993,-720860.9922,2,,,,,,,

5,-2661.538674,96,4.283147,5.283147,-255507.7127,-1094377.093,-1349884.806,4,,,,,,,

6,-3182.911292,96,5.858232,6.858232,-305559.484,-1790038.347,-2095597.831,2,,,,,,,

7,-3394.063179,55.55555556,7.361815,8.361815,-188559.0655,-1388136.957,-1576696.022,4,,,,,,,

8,-2766.734523,55.55555556,8.257949,9.257949,-153707.4735,-1269308.477,-1423015.951,1,,,,,,,

Σ,,,,,-3545720.989,-16687109.75,-20232830.73,,,,,,,,

表4.5,683.377573,257.1946985,,,,,,,,,,,,,

,,,,,Mip、Nip計算過程表,,,,,,,,,,

截面,,,,,,積分系數(shù),,,,,,,,,

0,683.38,0,0,0,0,1,0,257.1946985,257.1946985,683.377573,,,,,

1,683.38,48.10518201,-146.7999422,-14092.79445,-2635.888089,4,34.04332897,249.9608224,284.0041514,584.6828128,,,,,

2,683.38,190.5357481,-566.9824291,-54430.31319,-40323.22791,2,131.2357091,228.5427008,359.7784098,306.930892,,,,,

3,683.38,418.622951,-1203.301124,-115516.9079,-188021.0951,4,276.3194284,194.2438884,470.5633168,-101.3005996,,,,,

4,683.38,725.5133235,-1965.249992,-188663.9993,-532196.993,2,478.2801771,134.587425,612.867602,-556.359096,,,,,

5,683.38,1101.602701,-2661.538674,-255507.7127,-1094377.093,4,674.0966118,55.41072243,729.5073343,-876.5583996,,,,,

6,683.38,1506.706213,-3182.911292,-305559.484,-1790038.347,2,809.7319694,-29.87422815,779.8577412,-992.8275061,,,,,

7,683.38,1893.419789,-3394.063179,-188559.0655,-1388136.957,4,895.9907325,-147.6314707,748.3592618,-817.2658173,,,,,

8,683.38,2123.900703,-2766.734523,-153707.4735,-1269308.477,1,681.8715124,-247.8405205,434.0309919,40.54375294,,,,,

,,,,-3545720.989,-16687109.75,,,,,,,,,,

表4.6,1.5954,,4.1996,,,,,,,,,,,,

,3.1983,,,各點彈性反力的計算過程表,,,,,,,,,,,

截面,,,ΔSi外,,Φi,sinΦk,cosΦk,,,,,,,,

4,0.565975787,0.282987893,1.660753361,0.479278562,59.6699,0.863130372,0.504981149,0.413679884,0.242026639,,,,,,

5,1,0.782987893,1.667810425,1.331731704,78.6999,0.980614312,0.195947879,1.305915168,0.260950002,,,,,,

6,0.855681063,0.927840532,1.667810425,1.578101861,97.7399,0.990889657,-0.134676231,1.563724812,-0.212532811,,,,,,

7,0.42000728,0.637844172,1.692519923,1.100939335,115.2599,0.904381441,-0.426724981,0.995669102,-0.469798317,,,,,,

8,0,0.21000364,1.722194883,0.368828205,155.4499,0.415488805,-0.909598292,0.15324399,-0.335485505,,,,,,

表4.7,,,,,,,,,,,,,,,

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

截面,R4=0.47214459,,R5=1.323381366,,R6=1.571867633,,R7=1.106297906,,R8=0.375534801,,,,,,

,r4k,R4r4k,r5k,R5r5k,r6k,R6r6k,r7k,R7r7k,r8k,R8r8k,,,,,

4,0.78485,0.37616178,,,,,,,,,-0.37616178,,,,

5,2.26992,1.087923994,0.78546,1.046021984,,,,,,,-2.133945978,,,,

6,3.50671,1.680690927,2.270461,3.023644895,0.78546,1.239535888,,,,,-5.943871711,,,,

7,4.3109,2.066121955,3.346756,4.456981069,2.24472,3.542396809,0.7352,0.809410599,,,-10.87491043,,,,

8,4.15541,1.991598931,3.82208,5.08998511,3.07066,4.84581426,1.98115,2.181125964,0.7738,0.285399265,-14.39392353,,,,

表4.7,,,,,,,,,,,,,,,

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

截面,Φi,sinΦi,cosΦi,,,,,,,,,,,,

4,58.4468,0.85215464,0.523290044,0.242026639,0.206244124,0.413679884,0.216474564,-0.010230441,,,,,,,

5,77.5585,0.976516482,0.215442708,0.502976642,0.491164981,1.719595052,0.370474215,0.120690765,,,,,,,

6,96.6702,0.9932312,-0.116154137,0.29044383,0.288477874,3.283319864,-0.381371184,0.669849058,,,,,,,

7,125.0301,0.818850628,-0.574006663,-0.179354487,-0.146864534,4.278988966,-2.456168179,2.309303645,,,,,,,

8,164.4999,0.267240105,-0.963629974,-0.514839992,-0.137585894,4.432232956,-4.271032527,4.133446634,,,,,,,

表4.8,,,,,,,,,,-0.000716887,-0.000716887,,,,

,,,,,,,,,,,-9.39765E-05,,-0.00319865,,-2.855986612

截面,,1/Ii,Ii,1+yi,,,,積分系數(shù),,,-0.00062291,,,,2.07239679

4,-0.37616178,96,0.010416667,3.820872,-36.11153085,-101.8660063,-137.9775371,2,,a12=,0.001946903,,,,-0.003292626

5,-2.133945978,96,0.010416667,5.283147,-204.8588139,-877.4404142,-1082.299228,4,,a22=,0.015729384,,,,-0.027037196

6,-5.943871711,96,0.010416667,6.858232,-570.6116842,-3342.775628,-3913.387312,2,,a1σ=,-0.003292626,,,,

7,-10.87491043,55.55555556,0.018,8.361815,-604.1616907,-4447.726597,-5051.888288,4,,a2σ=,-0.027037196,,,,

8,-14.39392353,55.55555556,0.018,9.257949,-799.6624183,-6603.571468,-7403.233886,1,,a11=,0.00025985,,,,

Σ,,,,,-5249.190867,-34793.52278,-40042.71365,,,,,,,,

表4.9,,,,,,,,,,,,,,,

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

截面,,,,,,,積分系數(shù),,,,,,,,

0,0,-2.855986612,0,-2.855986612,-274.1747148,0,1,0,2.07239679,2.07239679,,,,,

1,0,-2.855986612,0.387616951,-2.468369661,-236.9634875,-44.32117677,4,0,2.014108413,2.014108413,,,,,

2,0,-2.855986612,1.535279207,-1.320707405,-126.7879109,-93.92740052,2,0,1.841527692,1.841527692,,,,,

3,0,-2.855986612,3.373136635,0.517150023,49.64640216,80.80696648,4,0,1.565158275,1.565158275,,,,,

4,-0.37616178,-2.855986612,5.845966077,2.613817685,250.9264978,707.8315316,2,-0.010230441,1.084464606,1.074234165,,,,,

5,-2.133945978,-2.855986612,8.876380093,3.886447502,373.0989602,1598.037692,4,0.120690765,0.446482777,0.567173542,,,,,

6,-5.943871711,-2.855986612,12.14058119,3.340722867,320.7093953,1878.790042,2,0.669849058,-0.24071746,0.429131598,,,,,

7,-10.87491043,-2.855986612,15.25660177,1.525704728,84.76137377,623.9975528,4,2.309303645,-1.189569566,1.119734079,,,,,

8,-14.39392353,-2.855986612,17.113747,-0.136163145,-7.564619153,-62.46823917,1,4.133446634,-1.997023664,2.13642297,,,,,

,,,,,1690.129625,13957.00425,,,,,,,,,

表4.10,,,,,,,,,,,,,,,

,,,σh計算過程表,,,,,,,,,,,,

截面,,,,,,,積分系數(shù),,,,,,,,

5,96,0,-876.5583996,3.886447502,0,0,4,,δhp=,0.022612023,,,,,

6,96,1.575085,-992.8275061,3.340722867,-150123.6204,505.1445578,2,,δhσ=,-9.08372E-05,,,,,

7,55.55555556,3.078668,-817.2658173,1.525704728,-139782.7844,260.9521291,4,,βap=,0.009009723,,,,,

8,55.55555556,3.974802,40.54375294,-0.136163145,8952.966127,-30.06786334,1,,βaσ=,-3.02585E-05,,,,,

,,,,,-850425.4122,2024.029769,,,σh=,238.4299099,,,,,

,,,,,,,,,X1=,2.424942271,,,,,

,,,,,,,,,X2=,751.3160784,,,,,

4.11,,,,計算結果,,,,,,,,,,,

截面,,,,,,,,,,積分系數(shù),,,,,

0,683.377573,-680.9526307,2.424942271,257.1946985,494.1213799,751.3160784,0,,232.794458,1,,βa=,0.001795197,,

1,584.6828128,-588.533156,-3.850343286,284.0041514,480.2236874,76