《拱橋計算手冊》附錄(I)計算用表

P47表2-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,2,3,4,5,6,7,8,9,10,,,,,,,,,,,,,,,,,,,,,,,,,,,

f/L,1/2,1/3,1/4,1/5,1/6,1/7,1/8,1/9,1/10,R,,,,,,,,,,,,,,,,,,,,,,,,,,

S,3.141592654,2.352010414,1.854590436,1.522025508,1.287002218,1.113198636,0.979914653,0.874675783,0.789582239,R,,,,,,,,,,,,,,,,,,,,,,,,,,

L,2,1.846153846,1.6,1.379310345,1.2,1.056603774,0.941176471,0.847058824,0.769230769,R,,,,,,,,,,,,,,,,,,,,,,,,,,

f,1,0.615384615,0.4,0.275862069,0.2,0.150943396,0.117647059,0.094117647,0.076923077,L,,,,,,,,,,,,,,,,,,,,,,,,,,

R,0.5,0.541666667,0.625,0.725,0.833333333,0.946428571,1.0625,1.180555556,1.3,,,,,,,,,,,,,,,,,,,,,,,,,,,

φ0,90:00:00,67:22:48,53:07:48,43:36:10,36:52:12,31:53:27,28:04:21,25:03:27,22:37:12,,,,,,,,,,,,,,,,,,,,,,,,,,,

φ0,90,67.38013505,53.13010235,43.60281897,36.86989765,31.8907918,28.07248694,25.05761542,22.61986495,,,,,,,,,,,,,,,,,,,,,,,,,,,

"φ0,弧度",1.570796327,1.176005207,0.927295218,0.761012754,0.643501109,0.556599318,0.489957326,0.437337892,0.39479112,,,,,,,,,,,,,,,,,,,,,,,,,,,

sin(φ0),1,0.923076923,0.8,0.689655172,0.6,0.528301887,0.470588235,0.423529412,0.384615385,,,,,,,,,,,,,,,,,,,,,,,,,,,

cos(φ0),0,0.384615385,0.6,0.724137931,0.8,0.849056604,0.882352941,0.905882353,0.923076923,,,,,,,,,,,,,,,,,,,,,,,,,,,

P333表1拱軸截面橫坐標表,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

表值為φ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

f/L(=D),1/2,1/3,1/4,1/5,1/6,1/7,1/8,1/9,1/10,,,,,,,,,,,,,,,,,,,,,,,,,,,

φ0,1.570796327,1.176005207,0.927295218,0.761012754,0.643501109,0.556599318,0.489957326,0.437337892,0.39479112,,,,,,,,,,,,,,,,,,,,,,,,,,,

R/L,0.5,0.541666667,0.625,0.725,0.833333333,0.946428571,1.0625,1.180555556,1.3,,,,,,,,,,,,,,,,,,,,,,,,,,,

截面號n,φ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

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

1,0.157079633,0.117600521,0.092729522,0.076101275,0.064350111,0.055659932,0.048995733,0.043733789,0.039479112,,,,,,,,,,,,,,,,,,,,,,,,,,,

2,0.314159265,0.235201041,0.185459044,0.152202551,0.128700222,0.111319864,0.097991465,0.087467578,0.078958224,,,,,,,,,,,,,,,,,,,,,,,,,,,

3,0.471238898,0.352801562,0.278188565,0.228303826,0.193050333,0.166979795,0.146987198,0.131201368,0.118437336,,,,,,,,,,,,,,,,,,,,,,,,,,,

4,0.628318531,0.470402083,0.370918087,0.304405102,0.257400444,0.222639727,0.195982931,0.174935157,0.157916448,,,,,,,,,,,,,,,,,,,,,,,,,,,

5,0.785398163,0.588002604,0.463647609,0.380506377,0.321750554,0.278299659,0.244978663,0.218668946,0.19739556,,,,,,,,,,,,,,,,,,,,,,,,,,,

6,0.942477796,0.705603124,0.556377131,0.456607653,0.386100665,0.333959591,0.293974396,0.262402735,0.236874672,,,,,,,,,,,,,,,,,,,,,,,,,,,

7,1.099557429,0.823203645,0.649106653,0.532708928,0.450450776,0.389619523,0.342970128,0.306136524,0.276353784,,,,,,,,,,,,,,,,,,,,,,,,,,,

8,1.256637061,0.940804166,0.741836174,0.608810203,0.514800887,0.445279454,0.391965861,0.349870313,0.315832896,,,,,,,,,,,,,,,,,,,,,,,,,,,

9,1.413716694,1.058404686,0.834565696,0.684911479,0.579150998,0.500939386,0.440961594,0.393604103,0.355312008,,,,,,,,,,,,,,,,,,,,,,,,,,,

10,1.570796327,1.176005207,0.927295218,0.761012754,0.643501109,0.556599318,0.489957326,0.437337892,0.39479112,,,,,,,,,,,,,,,,,,,,,,,,,,,

表值為x/L,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

截面號n,f/L,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,1/2,1/3,1/4,1/5,1/6,1/7,1/8,1/9,1/10,,,,,,,,,,,,,,,,,,,,,,,,,,,

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

1,0.07822,0.06355,0.05787,0.05512,0.05359,0.05265,0.05204,0.05161,0.05131,,,,,,,,,,,,,,,,,,,,,,,,,,,

2,0.15451,0.12623,0.11525,0.10992,0.10695,0.10514,0.10395,0.10313,0.10254,,,,,,,,,,,,,,,,,,,,,,,,,,,

3,0.22700,0.18716,0.17163,0.16409,0.15988,0.15730,0.15561,0.15445,0.15361,,,,,,,,,,,,,,,,,,,,,,,,,,,

4,0.29389,0.24551,0.22654,0.21730,0.21214,0.20898,0.20690,0.20547,0.20444,,,,,,,,,,,,,,,,,,,,,,,,,,,

5,0.35355,0.30046,0.27951,0.26926,0.26352,0.26000,0.25769,0.25610,0.25495,,,,,,,,,,,,,,,,,,,,,,,,,,,

6,0.40451,0.35127,0.33007,0.31966,0.31382,0.31023,0.30787,0.30624,0.30507,,,,,,,,,,,,,,,,,,,,,,,,,,,

7,0.44550,0.39722,0.37780,0.36820,0.36281,0.35949,0.35730,0.35579,0.35470,,,,,,,,,,,,,,,,,,,,,,,,,,,

8,0.47553,0.43768,0.42228,0.41462,0.41030,0.40764,0.40588,0.40467,0.40379,,,,,,,,,,,,,,,,,,,,,,,,,,,

9,0.49384,0.47210,0.46313,0.45864,0.45609,0.45452,0.45348,0.45277,0.45225,,,,,,,,,,,,,,,,,,,,,,,,,,,

10,0.50000,0.50000,0.50000,0.50000,0.50000,0.50000,0.50000,0.50000,0.50000,,,,,,,,,,,,,,,,,,,,,,,,,,,

P334表2拱軸截面縱坐標表,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

表值為y1/L,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

截面號n,f/L,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,1/2,1/3,1/4,1/5,1/6,1/7,1/8,1/9,1/10,,,,,,,,,,,,,,,,,,,,,,,,,,,

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

1,0.00616,0.00374,0.00269,0.00210,0.00172,0.00147,0.00128,0.00113,0.00101,,,,,,,,,,,,,,,,,,,,,,,,,,,

2,0.02447,0.01491,0.01072,0.00838,0.00689,0.00586,0.00510,0.00451,0.00405,,,,,,,,,,,,,,,,,,,,,,,,,,,

3,0.05450,0.03336,0.02403,0.01881,0.01548,0.01316,0.01146,0.01015,0.00911,,,,,,,,,,,,,,,,,,,,,,,,,,,

4,0.09549,0.05883,0.04250,0.03333,0.02745,0.02336,0.02034,0.01802,0.01618,,,,,,,,,,,,,,,,,,,,,,,,,,,

5,0.14645,0.09097,0.06598,0.05185,0.04276,0.03641,0.03172,0.02811,0.02525,,,,,,,,,,,,,,,,,,,,,,,,,,,

6,0.20611,0.12934,0.09427,0.07427,0.06135,0.05229,0.04558,0.04041,0.03630,,,,,,,,,,,,,,,,,,,,,,,,,,,

7,0.27300,0.17340,0.12711,0.10046,0.08312,0.07093,0.06188,0.05489,0.04933,,,,,,,,,,,,,,,,,,,,,,,,,,,

8,0.34549,0.22255,0.16423,0.13026,0.10801,0.09229,0.08058,0.07152,0.06430,,,,,,,,,,,,,,,,,,,,,,,,,,,

9,0.42178,0.27611,0.20531,0.16351,0.13589,0.11629,0.10164,0.09027,0.08120,,,,,,,,,,,,,,,,,,,,,,,,,,,

10,0.50000,0.33333,0.25000,0.20000,0.16667,0.14286,0.12500,0.11111,0.10000,,,,,,,,,,,,,,,,,,,,,,,,,,,

P335-337表3彈性中心橫載內(nèi)力計算系數(shù)表,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

先由P33-35表1-25～表1-27、P39表1-24～表1-35、P41表1-38求h/L比值(拱厚與跨徑的比值),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,

,1/2,,,,1/3,,,,1/4,,,,1/5,,,,1/6,,,,1/7,,,,1/8,,,,1/9,,,,1/10,,,

拱厚,40,45,50,60,45,50,50,60,40,45,50,43,40,50,50,60,30,35,40,45,,,,,,,,,,,,,,,,

L0,6,6,8,8,6,6,8,8,6,6,6,6,6,6,8,8,2,3,4,5,,,,,,,,,,,,,,,,

拱厚,50,55,65,43,50,50,65,43,40,50,60,49,60,70,80,60,35,40,45,60,,,,,,,,,,,,,,,,

L0,10,10,10,6,10,10,10,6,8,8,8,6,10,10,10,15,2,3,4,5,,,,,,,,,,,,,,,,

拱厚,55,65,75,39,55,65,75,39,50,60,65,43,70,80,90,65,,,,,,,,,,,,,,,,,,,,

L0,12,12,12,6,12,12,12,6,10,10,10,8,12,12,12,15,,,,,,,,,,,,,,,,,,,,

拱厚,,,,,55,60,70,43,55,65,75,55,80,85,90,70,,,,,,,,,,,,,,,,,,,,

L0,,,,,15,15,15,8,12,12,12,8,15,15,15,15,,,,,,,,,,,,,,,,,,,,

拱厚,,,,,65,75,55,43,60,70,80,43,85,95,68,74,,,,,,,,,,,,,,,,,,,,

L0,,,,,20,20,8,10,15,15,15,10,20,20,15,15,,,,,,,,,,,,,,,,,,,,

拱厚,,,,,40,40,45,45,70,80,40,50,80,,,,,,,,,,,,,,,,,,,,,,,

L0,,,,,8,10,12,15,20,20,10,15,15,,,,,,,,,,,,,,,,,,,,,,,

拱厚,,,,,55,49,55,55,55,55,62,68,,,,,,,,,,,,,,,,,,,,,,,,

L0,,,,,10,12,12,15,10,15,15,15,,,,,,,,,,,,,,,,,,,,,,,,

拱厚,,,,,62,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

L0,,,,,15,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

i^2/L^2=(h^2)/(12*L^2),0.00037037,0.00046875,0.000325521,0.00046875,0.00046875,0.000578704,0.000325521,0.00046875,0.00037037,0.00046875,0.000578704,0.000428009,0.00037037,0.000578704,0.000325521,0.00046875,0.001875,0.001134259,0.000833333,0.000675,,,,,,,,,,,,,,,,

,0.000208333,0.000252083,0.000352083,0.000428009,0.000208333,0.000208333,0.000352083,0.000428009,0.000208333,0.000325521,0.00046875,0.000555787,0.0003,0.000408333,0.000533333,0.000133333,0.002552083,0.001481481,0.001054688,0.0012,,,,,,,,,,,,,,,,

,0.000175058,0.000244502,0.000325521,0.000352083,0.000175058,0.000244502,0.000325521,0.000352083,0.000208333,0.0003,0.000352083,0.000240755,0.000283565,0.00037037,0.00046875,0.000156481,,,,,,,,,,,,,,,,,,,,

,,,,,0.000112037,0.000133333,0.000181481,0.000240755,0.000175058,0.000244502,0.000325521,0.00039388,0.000237037,0.000267593,0.0003,0.000181481,,,,,,,,,,,,,,,,,,,,

,,,,,8.80208E-05,0.000117188,0.00039388,0.000154083,0.000133333,0.000181481,0.000237037,0.000154083,0.000150521,0.000188021,0.000171259,0.000202815,,,,,,,,,,,,,,,,,,,,

,,,,,0.000208333,0.000133333,0.000117188,0.000075,0.000102083,0.000133333,0.000133333,9.25926E-05,0.000237037,,,,,,,,,,,,,,,,,,,,,,,

,,,,,0.000252083,0.000138947,0.000175058,0.000112037,0.000252083,0.000112037,0.00014237,0.000171259,,,,,,,,,,,,,,,,,,,,,,,,

,,,,,0.00014237,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

i^2/L^2排序,0.00046875,0.00046875,0.000428009,0.00037037,0.000578704,0.00046875,0.00046875,0.000428009,0.000578704,0.000555787,0.00046875,0.00046875,0.000578704,0.000533333,0.00046875,0.00046875,0.002552083,0.001875,0.001481481,0.0012,,,,,,,,,,,,,,,,

,0.000352083,0.000352083,0.000325521,0.000325521,0.00039388,0.000352083,0.000352083,0.000325521,0.000428009,0.00039388,0.00037037,0.000352083,0.000408333,0.00037037,0.00037037,0.000325521,0.001134259,0.001054688,0.000833333,0.000675,,,,,,,,,,,,,,,,

,0.000252083,0.000244502,0.000208333,0.000175058,0.000325521,0.000252083,0.000244502,0.000240755,0.000325521,0.000325521,0.0003,0.000252083,0.0003,0.0003,0.000283565,0.000267593,,,,,,,,,,,,,,,,,,,,

,,,,,0.000208333,0.000208333,0.000208333,0.000181481,0.000244502,0.000240755,0.000237037,0.000208333,0.000237037,0.000237037,0.000202815,0.000188021,,,,,,,,,,,,,,,,,,,,

,,,,,0.000175058,0.000175058,0.000154083,0.00014237,0.000208333,0.000181481,0.000175058,0.000171259,0.000181481,0.000171259,0.000156481,0.000150521,,,,,,,,,,,,,,,,,,,,

,,,,,0.000138947,0.000133333,0.000133333,0.000117188,0.000154083,0.00014237,0.000133333,0.000133333,0.000133333,,,,,,,,,,,,,,,,,,,,,,,

,,,,,0.000117188,0.000112037,0.000112037,8.80208E-05,0.000133333,0.000112037,0.000102083,9.25926E-05,,,,,,,,,,,,,,,,,,,,,,,,

,,,,,0.000075,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,,f/L,,,

,1/2,,,,1/3,,,,1/4,,,,1/5,,,,1/6,,,,1/7,,,,1/8,,,,1/9,,,,1/10,,,

i^2/L^2（P335-337表值）,0,0.00010,0.00020,0.00040,0,0.00010,0.00020,0.00040,0,0.00010,0.00020,0.00040,0,0.00010,0.00020,0.00040,0,0.00010,0.00020,0.00040,0,0.00009,0.00018,0.00027,0,0.00006,0.00001,0.00023,0,0.00007,0.00014,0.00021,0,0.00008,0.00017,0.00025

"φ0,弧度",1.570796327,,,,1.176005207,,,,0.927295218,,,,0.761012754,,,,0.643501109,,,,0.556599318,,,,0.489957326,,,,0.437337892,,,,0.39479112,,,

C1,0.56012,0.55804,0.55598,0.55187,0.73256,0.72576,0.71904,0.70586,0.82711,0.81299,0.79924,0.77279,0.88110,0.85743,0.83479,0.79237,0.91394,0.87870,0.84576,0.78595,0.93512,0.89114,0.85076,0.81355,0.94946,0.91030,0.94205,0.81399,0.95959,0.90215,0.85082,0.80468,0.96698,0.88714,0.81107,0.75312

C2,0.09802,0.09764,0.09725,0.09649,0.11519,0.11403,0.11288,0.11063,0.12487,0.12258,0.12036,0.11607,0.13046,0.12675,0.12321,0.11656,0.13387,0.12848,0.12343,0.11428,0.13608,0.12945,0.12337,0.11776,0.13757,0.13174,0.13647,0.11738,0.13863,0.13014,0.12255,0.11573,0.13940,0.12767,0.11649,0.10798

B1,0.25000,,,,0.17453,,,,0.12059,,,,0.08594,,,,0.06352,,,,0.04853,,,,0.03813,,,,0.03068,,,,0.02518,,,

B2,0.03125,,,,0.01931,,,,0.01277,,,,0.00891,,,,0.00652,,,,0.00494,,,,0.00387,,,,0.00310,,,,0.00254,,,

ys,0.36338,,,,0.21507,,,,0.13728,,,,0.09377,,,,0.06760,,,,0.05084,,,,0.03953,,,,0.03157,,,,0.02577,,,

R,0.5,,,,0.54167,,,,0.625,,,,0.725,,,,0.83333,,,,0.94643,,,,1.0625,,,,1.18056,,,,1.3,,,

P338-340表41/4拱弧及拱腳恒載內(nèi)力計算表,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,f/L,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,1/2,1/3,1/4,1/5,1/6,1/7,1/8,1/9,1/10,,,,,,,,,,,,,,,,,,,,,,,,,,,

1/4拱弧φ,0.785398163,0.588002604,0.463647609,0.380506377,0.321750554,0.278299659,0.244978663,0.218668946,0.19739556,,,,,,,,,,,,,,,,,,,,,,,,,,,

sinφ,0.70711,0.55470,0.44721,0.37139,0.31623,0.27472,0.24254,0.21693,0.19612,,,,,,,,,,,,,,,,,,,,,,,,,,,

cosφ,0.70711,0.83205,0.89443,0.92848,0.94868,0.96152,0.97014,0.97619,0.98058,,,,,,,,,,,,,,,,,,,,,,,,,,,

x,0.70711,0.55470,0.44721,0.37139,0.31623,0.27472,0.24254,0.21693,0.19612,,,,,,,,,,,,,,,,,,,,,,,,,,,

y,0.07049,0.04712,0.03170,0.02224,0.01628,0.01236,0.00967,0.00776,0.00636,,,,,,,,,,,,,,,,,,,,,,,,,,,

P,0.70711,0.55470,0.44721,0.37139,0.31623,0.27472,0.24254,0.21693,0.19612,,,,,,,,,,,,,,,,,,,,,,,,,,,

,0.11785,0.06677,0.04658,0.03590,0.02928,0.02476,0.02147,0.01897,0.01700,,,,,,,,,,,,,,,,,,,,,,,,,,,

Mp,0.25,0.15385,0.10000,0.06897,0.05000,0.03774,0.02941,0.02353,0.01923,,,,,,,,,,,,,,,,,,,,,,,,,,,

,0.02083,0.00926,0.00521,0.00333,0.00231,0.00170,0.00130,0.00103,0.00083,,,,,,,,,,,,,,,,,,,,,,,,,,,

拱腳φ,1.570796327,1.176005207,0.927295218,0.761012754,0.643501109,0.556599318,0.489957326,0.437337892,0.39479112,,,,,,,,,,,,,,,,,,,,,,,,,,,

sinφ,1.00000,0.92308,0.80000,0.68966,0.60000,0.52830,0.47059,0.42353,0.38462,,,,,,,,,,,,,,,,,,,,,,,,,,,

cosφ,0.00000,0.38462,0.60000,0.72414,0.80000,0.84906,0.88235,0.90588,0.92308,,,,,,,,,,,,,,,,,,,,,,,,,,,

x,1.00000,0.92308,0.80000,0.68966,0.60000,0.52830,0.47059,0.42353,0.38462,,,,,,,,,,,,,,,,,,,,,,,,,,,

y,-0.63662,-0.40031,-0.26272,-0.18210,-0.13240,-0.10010,-0.07811,-0.06254,-0.05115,,,,,,,,,,,,,,,,,,,,,,,,,,,

P,1.00000,0.92308,0.80000,0.68966,0.60000,0.52830,0.47059,0.42353,0.38462,,,,,,,,,,,,,,,,,,,,,,,,,,,

,0.33333,0.30769,0.26667,0.22989,0.20000,0.17610,0.15686,0.14118,0.12821,,,,,,,,,,,,,,,,,,,,,,,,,,,

Mp,0.5,0.42604,0.32000,0.23781,0.18000,0.13955,0.11073,0.08969,0.07396,,,,,,,,,,,,,,,,,,,,,,,,,,,

,0.08333,0.07101,0.05333,0.03964,0.03000,0.02326,0.01845,0.01495,0.01233,,,,,,,,,,,,,,,,,,,,,,,,,,,

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

"P341表5Z/L,H,V影響線縱坐標（彈性中心贅余力）",,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

f/L,1/2,φ0,1.570796327,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

截面號n,,,,,,,,,Z/L,H,,,,V,截面號n,,,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,,,,,,,,,,,,,,,,,,,,,,,

,φ1(加載位),a,b'/R,b'',C,k1,k2,k3,,0,0.00005,0.00010,0.00020,,,x/L(加載位),,,,,,,,,,,,,,,,,,,,

0,0,-1,-0.136619772,0.5,-0.785398163,1.570796327,0.297556782,1.570796327,0.15915,0.45914,0.45832,0.45750,0.45587,0.50000,0,0,,,,,,,,,,,,,,,,,,,,

1,0.157079633,-0.766534326,-0.132189502,0.487764129,-0.629604098,1.570796327,0.297556782,1.570796327,0.12200,0.44425,0.44345,0.44266,0.44108,0.40082,1,0.078217233,,,,,,,,,,,,,,,,,,,,

2,0.314159265,-0.562734309,-0.11951903,0.452254249,-0.481372218,1.570796327,0.297556782,1.570796327,0.08956,0.40167,0.40094,0.40021,0.39877,0.30645,2,0.154508497,,,,,,,,,,,,,,,,,,,,

3,0.471238898,-0.391817898,-0.100375834,0.396946313,-0.347524466,1.570796327,0.297556782,1.570796327,0.06236,0.33733,0.33671,0.33609,0.33485,0.22124,3,0.22699525,,,,,,,,,,,,,,,,,,,,

4,0.628318531,-0.255042445,-0.077404564,0.327254249,-0.233474769,1.570796327,0.297556782,1.570796327,0.04059,0.26013,0.25964,0.25915,0.25816,0.14863,4,0.293892626,,,,,,,,,,,,,,,,,,,,

5,0.785398163,-0.151746414,-0.053711549,0.25,-0.142699082,1.570796327,0.297556782,1.570796327,0.02415,0.18051,0.18015,0.17979,0.17908,0.09085,5,0.353553391,,,,,,,,,,,,,,,,,,,,

6,0.942477796,-0.079464883,-0.032351662,0.172745751,-0.076395136,1.570796327,0.297556782,1.570796327,0.01265,0.10872,0.10849,0.10826,0.10780,0.04863,6,0.404508497,,,,,,,,,,,,,,,,,,,,

7,1.099557429,-0.034113567,-0.015777582,0.103053687,-0.0333652,1.570796327,0.297556782,1.570796327,0.00543,0.05302,0.05290,0.05277,0.05252,0.02124,7,0.445503262,,,,,,,,,,,,,,,,,,,,

8,1.256637061,-0.010233778,-0.005317293,0.047745751,-0.01013332,1.570796327,0.297556782,1.570796327,0.00163,0.01787,0.01782,0.01777,0.01767,0.00645,8,0.475528258,,,,,,,,,,,,,,,,,,,,

9,1.413716694,-0.001288743,-0.000744651,0.012235871,-0.001285568,1.570796327,0.297556782,1.570796327,0.00021,0.00250,0.00249,0.00248,0.00246,0.00082,9,0.49384417,,,,,,,,,,,,,,,,,,,,

10,1.570796327,0,0,0,-6.12574E-17,1.570796327,0.297556782,1.570796327,0,0,0,0,0,3.89977E-17,10,0.5,,,,,,,,,,,,,,,,,,,,

β,,,,,,,,,,26.89,26.86,26.83,26.77,,β,,,,,,,,,,,,,,,,,,,,,

P342表6拱頂M/L、N影響線縱坐標（φ=0處內(nèi)力M/L、N）,,,,,,,,,,x/L(加載位),,,,Δx/L,,,,M/L,,,,N,,,,,,,,,,,,,,

f/L,1/2,φ0,1.570796327,φ(拱頂),0,,,,,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,,,,,,,,,,,

截面號n,M/L,,,,N,,,,截面號n,0,0.00005,0.00010,0.0002,0,0.00005,0.0001,0.0002,0,0.00005,0.0001,0.0002,0,0.00006,0.00012,0.00018,,,,,,,,,,,

,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,0,0,0.0000,0.0000,0.0000,,,,,0,0,0,0,0.326667778,0.32497295,0.3232918,0.319969876,,,,,,,,,,,

,0,0.00005,0.00010,0.00020,0,0.00005,0.00010,0.00020,1,0.0782,0.0782,0.0782,0.0782,0.0782,0.0782,0.0782,0.0782,0.05851,0.05865,0.05880,0.05909,0.45169,0.450886079,0.45007978,0.448472267,,,,,,,,,,,

0,0.07573,0.07588,0.07603,0.07633,0.45914,0.45832,0.45750,0.45587,2,0.1545,0.1545,0.1545,0.1545,0.0763,0.0763,0.0763,0.0763,0.02893,0.02907,0.02921,0.02948,0.42296,0.42220,0.421437095,0.419921767,,,,,,,,,,,

1,0.04128,0.04143,0.04157,0.04186,0.44425,0.44345,0.44266,0.44108,3,0.2270,0.2270,0.2270,0.2270,0.0725,0.0725,0.0725,0.0725,0.00883,0.00895,0.00907,0.00932,0.36950,0.36296,0.361753364,0.359368934,,,,,,,,,,,

2,0.01658,0.01671,0.01685,0.01711,0.40167,0.40094,0.40021,0.39877,4_0,0.2362,0.2372,0.2381,0.2400,0.0092,0.0102,0.0111,0.0130,0.00053,0.00059,0.00065,0.00076,0.33200,0.33084,0.329690941,0.327410947,,,,,,,,,,,

3,0.00107,0.00118,0.00130,0.00152,0.33733,0.33671,0.33609,0.33485,4,0.2939,0.2939,0.2939,0.2939,0.0577,0.0567,0.0558,0.0539,-0.00334,-0.00329,-0.00325,-0.00316,0.29340,0.29818,0.297618354,0.296507831,,,,,,,,,,,

4,-0.00667,-0.00658,-0.00649,-0.00631,0.26013,0.25964,0.25915,0.25816,5,0.3536,0.3536,0.3536,0.3536,0.0597,0.0597,0.0597,0.0597,-0.00766,-0.00758,-0.00750,-0.00735,0.22032,0.219895001,0.219469737,0.218621891,,,,,,,,,,,

5,-0.00865,-0.00858,-0.00852,-0.00839,0.18051,0.18015,0.17979,0.17908,6,0.4045,0.4045,0.4045,0.4045,0.0510,0.0510,0.0510,0.0510,-0.00788,-0.00782,-0.00777,-0.00766,0.14462,0.144322002,0.144028175,0.143442376,,,,,,,,,,,

6,-0.00711,-0.00706,-0.00702,-0.00694,0.10872,0.10849,0.10826,0.10780,7,0.4455,0.4455,0.4455,0.4455,0.0410,0.0410,0.0410,0.0410,-0.00566,-0.00562,-0.00559,-0.00553,0.08087,0.080696163,0.080518651,0.080164747,,,,,,,,,,,

7,-0.00420,-0.00418,-0.00416,-0.00411,0.05302,0.05290,0.05277,0.05252,8,0.4755,0.4755,0.4755,0.4755,0.0300,0.0300,0.0300,0.0300,-0.002911285,-0.002895294,-0.002879337,-0.002847524,0.035446807,0.035358796,0.03527097,0.035095874,,,,,,,,,,,

8,-0.00162,-0.00161,-0.00160,-0.00158,0.01787,0.01782,0.01777,0.01767,9,0.4938,0.4938,0.4938,0.4938,0.0183,0.0183,0.0183,0.0183,-0.00093,-0.00093,-0.00092,-0.00091,0.01019,0.010155317,0.010124502,0.010063067,,,,,,,,,,,

9,-0.00025,-0.00025,-0.00025,-0.00024,0.00250,0.00249,0.00248,0.00246,10,0.5000,0.5000,0.5000,0.5000,0.0062,0.0062,0.0062,0.0062,-0.00012,-0.00012,-0.00012,-0.00012,0.00125,0.001245848,0.001240432,0.00123,,,,,,,,,,,

10,0,0,0,0,0,0,0,0,l1,0.47248,0.47437,0.47625,0.47995,,,,Mmax,0.014857,0.014921,0.014985,0.015113,0.194901,0.194315,0.194494,0.194829,,,,,,,,,,,

P343表71/4拱弧M/L、N影響線縱坐標（φ=0.5*φ0處內(nèi)力M/L、N）,,,,,,,,,l2,0.26376,0.26282,0.26188,0.26002,,,,Mmin,-0.002776,-0.002746,-0.002716,-0.002657,0.084007,0.083891,0.083168,0.081741,,,,,,,,,,,

f/L,1/2,φ0,1.570796327,φ(1/4拱弧),0.785398163,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

截面號n,M/L,,,,N,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,0,0.00005,0.00010,0.00020,0,0.00005,0.00010,0.00020,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-10,-1.37878E-17,-1.37878E-17,-1.37878E-17,-1.37878E-17,2.75755E-17,2.75755E-17,2.75755E-17,2.75755E-17,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-9,-0.00017,-0.00017,-0.00017,-0.00017,0.00235,0.00234,0.00233,0.00232,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-8,-0.00128,-0.00128,-0.00128,-0.00127,0.01720,0.01716,0.01713,0.01705,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-7,-0.00395,-0.00394,-0.00394,-0.00393,0.05251,0.05242,0.05234,0.05216,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-6,-0.00838,-0.00837,-0.00836,-0.00835,0.11127,0.11111,0.11094,0.11062,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-5,-0.01433,-0.01432,-0.01430,-0.01428,0.19188,0.19162,0.19137,0.19087,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-4,-0.02113,-0.02111,-0.02109,-0.02106,0.28904,0.28869,0.28834,0.28765,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-3,-0.02775,-0.02773,-0.02771,-0.02766,0.39497,0.39453,0.39409,0.39322,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-2,-0.03294,-0.03292,-0.03289,-0.03284,0.50072,0.50020,0.49969,0.49867,,,,,,,,,,,,,,,,,,,,,,,,,,,,

-1,-0.03537,-0.03534,-0.03531,-0.03526,0.59755,0.59699,0.59643,0.59531,,,,,,,,,,,,,,,,,,,,,,,,,,,,

0,-0.03380,-0.03377,-0.03375,-0.03369,0.67821,0.67763,0.67705,0.67590,,,,,,,,,,,,,,,,,,,,,,,,,,,,

1,-0.02728,-0.02726,-0.02723,-0.02717,0.73782,0.73725,0.73669,0.73557,,,,,,,,,,,,,,,,,,,,,,,,,,,,

2,-0.01529,-0.01527,-0.01524,-0.01519,0.77444,0.77392,0.77341,0.77238,,,,,,,,,,,,,,,,,,,,,,,,,,,,

3,0.00213,0.00216,0.00218,0.00222,0.78920,0.78876,0.78832,0.78744,,,,,,,,,,,,,,,,,,,,,,,,,,,,

4,0.02431,0.02433,0.02435,0.02438,0.78595,0.78560,0.78525,0.78456,,,,,,,,,,,,,,,,,,,,,,,,,,,,

5,0.04991,0.04992,0.04993,0.04996,0.77051,0.77026,0.77000,0.76950,,,,,,,,,,,,,,,,,,,,,,,,,,,,

,0.04991,0.04992,0.04993,0.04996,0.06340,0.06315,0.06290,0.06239,,,,,,,,,,,,,,,,,,,,,,,,,,,,

6,0.02601,0.02602,0.02603,0.02604,0.04249,0.04233,0.04216,0.04184,,,,,,,,,,,,,,,,,,,,,,,,,,,,

7,0.01107,0.01107,0.01108,0.01109,0.02247,0.02239,0.02230,0.02212,,,,,,,,,,,,,,,,,,,,,,,,,,,,

8,0.00328,0.00328,0.00328,0.00329,0.00807,0.00804,0.00800,0.00793,,,,,,,,,,,,,,,,,,,,,,,,,,,,

9,0.00041,0.00041,0.00041,0.00041,0.00119,0.00118,0.00118,0.00116,,,,,,,,,,,,,,,,,,,,,,,,,,,,

10,1.37878E-17,1.37878E-17,1.37878E-17,1.37878E-17,-2.75755E-17,-2.75755E-17,-2.75755E-17,-2.75755E-17,,,,,,,,,,,,,,,,,,,,,,,,,,,,

P344表8拱腳M/L、N影響線縱坐標（φ=φ0處內(nèi)力M/L、N）,,,,,,,,,,x/L(加載位),,,,Δx/L,,,,M/L,,,,N,,,,,,,,,,,,,,

f/L,1/2,φ0,1.570796327,φ(拱腳),1.570796327,,,,,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,,,,,,,,,,,

截面號n,M/L,,,,N,,,,截面號n,0,0.00005,0.0001,0.0002,0,0.00005,0.0001,0.0002,0,0.00005,0.0001,0.0002,0,0.00005,0.0001,0.0002,,,,,,,,,,,

,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,i^2/L^2=,-10,-0.5,-0.5,-0.5,-0.5,,,,,6.93889E-18,0,6.93889E-18,6.93889E-18,0.3012916,0.301607639,0.301924654,0.302561627,,,,,,,,,,,

,0,0.00005,0.00010,0.00020,0,0.00005,0.00010,0.00020,-9,-0.49384417,-0.49384417,-0.49384417,-0.49384417,0.0062,0.0062,0.0062,0.0062,0.00030,0.00029,0.00029,0.00029,0.00125,0.00125,0.00124,0.00123,,,,,,,,,,,

-10,-1.94988E-17,-1.94988E-17,-1.94988E-17,-1.94988E-17,3.89977E-17,3.89977E-17,3.89977E-17,3.89977E-17,-8,-0.475528258,-0.475528258,-0.475528258,-0.475528258,0.0183,0.0183,0.0183,0.0183,0.00234,0.00233,0.00232,0.00230,0.01019,0.01016,0.01012,0.01006,,,,,,,,,,,

-9,0.00059,0.00059,0.00059,0.00058,0.00082,0.00082,0.00082,0.00082,-7,-0.445503262,-0.445503262,-0.445503262,-0.445503262,0.0300,0.0300,0.0300,0.0300,0.00789,0.00786,0.00783,0.00778,0.03545,0.03536,0.03527,0.03510,,,,,,,,,,,

-8,0.00409,0.00408,0.00406,0.00403,0.00645,0.00645,0.00645,0.00645,-6,-0.404508497,-0.404508497,-0.404508497,-0.404508497,0.0410,0.0410,0.0410,0.0410,0.01731,0.01726,0.01720,0.01709,0.08087,0.08070,0.08052,0.08016,,,,,,,,,,,

-7,0.01169,0.01165,0.01161,0.01153,0.02124,0.02124,0.02124,0.02124,-5,-0.353553391,-0.353553391,-0.353553391,-0.353553391,0.0510,0.0510,0.0510,0.0510,0.02956,0.02947,0.02937,0.02919,0.14462,0.14432,0.14403,0.14344,,,,,,,,,,,

-6,0.02294,0.02286,0.02279,0.02265,0.04863,0.04863,0.04863,0.04863,-4,-0.293892626,-0.293892626,-0.293892626,-0.293892626,0.0597,0.0597,0.0597,0.0597,0.04263,0.04250,0.04236,0.04209,0.22032,0.21990,0.21947,0.21862,,,,,,,,,,,

-5,0.03619,0.03607,0.03596,0.03573,0.09085,0.09085,0.09085,0.09085,-3,-0.22699525,-0.22699525,-0.22699525,-0.22699525,0.0669,0.0669,0.0669,0.0669,0.05410,0.05392,0.05374,0.05339,0.29873,0.29818,0.29762,0.29651,,,,,,,,,,,

-4,0.04908,0.04892,0.04876,0.04845,0.14863,0.14863,0.14863,0.14863,-2,-0.154508497,-0.154508497,-0.154508497,-0.154508497,0.0725,0.0725,0.0725,0.0725,0.06165,0.06144,0.06122,0.06080,0.36950,0.36883,0.36815,0.36681,,,,,,,,,,,

-3,0.05912,0.05892,0.05872,0.05833,0.22124,0.22124,0.22124,0.22124,-1,-0.078217233,-0.078217233,-0.078217233,-0.078217233,0.0763,0.0763,0.0763,0.0763,0.06359,0.06335,0.06311,0.06263,0.42296,0.42220,0.42144,0.41992,,,,,,,,,,,

-2,0.06419,0.06396,0.06373,0.06327,0.30645,0.30645,0.30645,0.30645,0,0,0,0,0,0.0782,0.0782,0.0782,0.0782,0.05915,0.05889,0.05864,0.05812,0.45169,0.45089,0.45008,0.44847,,,,,,,,,,,

-1,0.06300,0.06274,0.06249,0.06199,0.40082,0.40082,0.40082,0.40082,1,0.078217233,0.078217233,0.078217233,0.078217233,0.0782,0.0782,0.0782,0.0782,0.04867,0.04841,0.04815,0.04764,0.45169,0.45089,0.45008,0.44847,,,,,,,,,,,

0,0.05530,0.05504,0.05478,0.05426,0.50000,0.50000,0.50000,0.50000,2,0.154508497,0.154508497,0.154508497,0.154508497,0.0763,0.0763,0.0763,0.0763,0.03359,0.03335,0.03311,0.03263,0.42296,0.42220,0.42144,0.41992,,,,,,,,,,,

1,0.04203,0.04178,0.04153,0.04102,0.59918,0.59918,0.59918,0.59918,3,0.2270,0.22699525,0.22699525,0.22699525,0.0725,0.0725,0.0725,0.0725,0.01625,0.01604,0.01582,0.01539,0.36950,0.36883,0.36815,0.36681,,,,,,,,,,,

2,0.02515,0.02492,0.02469,0.02423,0.69355,0.69355,0.69355,0.69355,4_0,0.2582,0.2575,0.2567,0.2552,0.0312,0.0305,0.0297,0.0282,0.00368,0.00358,0.00348,0.00328,0.31931,0.31916,0.31901,0.31871,,,,,,,,,,,

3,0.00735,0.00715,0.00696,0.00656,0.77876,0.77876,0.77876,0.77876,4,0.293892626,0.293892626,0.293892626,0.293892626,0.0357,0.0364,0.0372,0.0387,-0.00420,-0.00428,-0.00435,-0.00451,0.28071,0.28062,0.28054,0.28036,,,,,,,,,,,

4,-0.00840,-0.00855,-0.00871,-0.00902,0.85137,0.85137,0.85137,0.85137,5,0.353553391,0.353553391,0.353553391,0.353553391,0.0597,0.0597,0.0597,0.0597,-0.01391,-0.01404,-0.01418,-0.01445,0.22032,0.21990,0.21947,0.21862,,,,,,,,,,,

5,-0.01942,-0.01953,-0.01964,-0.01987,0.90915,0.90915,0.90915,0.90915,6,0.404508497,0.404508497,0.404508497,0.404508497,0.0510,0.0510,0.0510,0.0510,-0.02167,-0.02176,-0.02185,-0.02204,0.14462,0.14432,0.14403,0.14344,,,,,,