預應力混凝土連續(xù)剛構橋(計算書)

朽木易折，金石可鏤。千里之行，始于足下。第頁/共頁預應力混凝土延續(xù)剛構橋計算書課程名稱：大跨度橋梁學院：土木與建造學院任課教師：/教授學生姓名學生學號：專業(yè)方向：建造與土木工程（橋梁與隧道工程）日期：2017年1月10日朽木易折，金石可鏤。千里之行，始于足下。第頁/共頁目錄TOC\o"1-2"\h\z\u一、基本信息 31.1工程概況 31.2技術標準 31.3主要規(guī)范 41.4結構概述 41.5主要材料及材料性能 61.6計算原則、內容及控制標準 6二、模型建立與分析 72.1計算模型 72.2主要鋼筋布置圖及材料用表 102.3截面特性及有效寬度 122.4荷載工況及荷載組合 12三、內力圖 133.1內力圖 13四、持久情況承載能力極限狀態(tài)驗算結果 504.1截面受壓區(qū)高度 504.2正截面抗彎承載能力驗算 504.3斜截面抗剪承載能力驗算 504.4抗扭承載能力驗算 514.5支反力計算 51五、持久情況正常使用極限狀態(tài)驗算結果 535.1結構正截面抗裂驗算 535.2結構斜截面抗裂驗算 53六、持久情況構件應力驗算結果 546.1正截面混凝土法向壓應力驗算 546.2正截面受拉區(qū)鋼筋拉應力驗算 546.3斜截面混凝土的主壓應力驗算 55七、短暫情況構件應力驗算結果 557.1短暫情況構件應力驗算 55八、詳細計算表格 55朽木易折，金石可鏤。千里之行，始于足下。第頁/共頁一、基本信息本人學號，按照教學要求，設計的橋型主跨為128m（120+學號倒數第二位），橋寬為12.3m（12+學號倒數第一位/10）,施工主意采用懸臂澆筑。計算要求包括：考慮施工過程，計算恒載、活載、溫度、溫度梯度、支座沉降等作用下內力和組合內力，出計算書。圖紙要求包括:計劃布置圖和上部結構普通構造圖。1.1工程概況本設計采用85+128+85m三跨預應力混凝土延續(xù)剛構橋結構體系。兩端懸臂長度均為85m，相應的懸臂根部梁高為7m，梁端梁高為2.7m。中跨跨中梁高2.7m。形成一個通航孔，橋面最大縱坡2.43℅。主梁截面所有使用單箱單室截面。下部結構基礎分離采用明挖擴大基礎及灌注混凝土，墩身為實腹長方形截面。本計劃技術較先進，工藝要求較鄭重，主梁上部結構施工主意采用懸臂澆筑。采用移動式掛籃作為主要施工設備，以橋墩為中央，對稱地向兩岸利用掛籃澆筑節(jié)段的混凝土，待混凝土達到要求強度后，便張拉預應力束，然后移動掛籃，舉行下一節(jié)段施工。本計劃屬于超靜定結構，該延續(xù)剛構橋既保持了延續(xù)梁無伸縮縫、行車平順的優(yōu)點，又保持了T構不須設大噸位支座的優(yōu)點，同時避免了延續(xù)梁（存在暫時固結和體系轉換）和T構（存在伸縮縫問題）兩者的缺點，養(yǎng)護工作量小。此外，延續(xù)鋼構施工穩(wěn)固性好，減少或避免邊跨梁端搭架合龍的難度。但此橋型對地基承載力的要求更高，若地基發(fā)生過大的不勻稱沉降，延續(xù)梁可通過調節(jié)墩頂支座的高程，抵消下沉來補救，而延續(xù)剛構則做不到。當其主墩剛度過大時，中跨梁體因會產生過大的溫差拉力而對結構受力不利。此外，梁墩聯(lián)結處應力復雜也是延續(xù)剛構的一個缺點。1.2技術標準（1）主跨徑：128m(此為橋墩中距)。（2）橋寬：12.3m（2×凈5.5m（車行道）+0.9m（中央分隔帶）+2×0.2m（及護欄）=12.3m）。（3）設計荷載：馬路-Ⅰ級（汽車-超20級，掛車-120級）。（4）防撞欄桿：單側按每延米9.0KN。（5）截面：主梁采用變截面單箱單室的箱形截面，橋墩采用實腹長方形截面。（6）橋面縱坡：左2.43℅，中0，右2.40℅。（7）橋面橫坡：1.5℅，并適當設置路拱。（8）地質情況：河中為大范圍紫紅色砂巖。（9）墩高：40m。（10）橋墩形式：豎直雙肢薄壁墩。（11）基礎形式：剛性基礎。1.3主要規(guī)范1)《馬路鋼筋混凝土及預應力混凝土橋涵設計規(guī)范》（JTGD62-2004）2)《馬路橋涵設計通用規(guī)范》（JTGD60-2004）3)《馬路工程技術標準》（JTGB01-2003）4)《馬路橋梁抗震設計細則》（JTG/TB02-01-2008）5)《馬路橋涵地基與基礎設計規(guī)范》（JTGD63-2007）6)《城市橋梁設計規(guī)范》（CJJ11-2011）1.4結構概述1.4.1橋梁結構圖示（如圖1）圖11.4.2橋梁主跨和邊跨的擬定主跨按照教學要求徑定位128m。對國內外已建成的延續(xù)剛構橋，邊跨和主跨的跨徑比值在0.5～0.692之間，大部分在0.55～0.58之間。采用0.664倍的中跨徑，即85m，則全聯(lián)跨徑為：85+128+85=298m。1.4.3順橋向梁的尺寸擬定大跨延續(xù)剛構橋主梁普通采用箱形截面，箱梁根部截面的高跨比普通為1/16～1/20，其中大部分為1/18左右，也有少數橋梁達到或低于1/20.跨中截面梁高通常為支點截面梁高的1/2.5～1/3.5，略小于延續(xù)梁的跨中梁高。支點處梁高：箱梁根部高跨比取1/18.29倍，即7m.跨中梁高：跨中截面梁高取支點梁高的1/2,59倍，即2.7m.梁底曲線：選用二次拋物線，以跨中梁底為原點，曲線方程為：Y=-0.X2以支點梁底為原點，曲線方程為;Y=-0.X21.4.4橋墩尺寸擬定考慮延續(xù)剛構橋的橋墩與懸臂箱梁固結，需承受懸臂箱梁傳來的軸向力及不平衡力矩，采用豎直雙肢薄壁墩，墩寬B=8.1m,墩高H=1.8m。1.4.5箱梁尺寸擬定當跨徑超過60m時，橫截面多為箱形。而B=12.3m，采取單箱單室截面。如圖2所示。圖2截面構造圖（1）頂板、底板厚度;箱梁根部底板厚度：普通約為墩頂梁高的1/10～1/12，取85cm。箱梁跨中底板厚度：取26cm。箱梁頂板厚度：箱梁斷面頂板厚在全梁范圍內一致取25cm。（2）箱梁腹板：腹板內無預應力束管道布置時可采用200mm；腹板內有預應力束管道布置時可采用250～300mm；腹板內有預應力束筋錨頭時采用350mm。故本設計中采用腹板厚度為35cm。在大跨徑橋中，為減少梁的自重彎矩，將腹板盡量減小為好，在支點處腹板厚度為滿意剪應力與主拉應力要求時，可參照下式選用：t=0.02B（1+0.02L）。本設計中，B=12.3m，L=128m，故t=0.876m，而選用25cm腹板時，t=0.25×3×2=1.50m﹥0.876m，故可以?！痞?B=1.5/12.3=1/8.2,不符合1/13～1/19.。δ/B=0.25/4.8=1/19.2,滿意1/15～1/20.(3)其余各處詳細尺寸：在墩上、中跨跨中、邊跨跨中和橋的端部設橫梁。故在邊跨離根部42.5m處，中跨跨中、墩上、端部各設一道6.9m寬的橫梁，并把單室擴為雙室。截面構造如圖3所示。1.4.6橋面鋪裝由《馬路橋涵設計通用規(guī)范》（JTGD60-2004）第1.7.1條，橋面路緣內設置8cm厚瀝青混凝土鋪裝層。1.4.7施工主意（1）主梁采用墩梁固結的掛籃懸臂澆筑施工。（2）橋墩采用液壓爬模施工。（3）基礎采用鋼圍囹澆筑混凝土。1.5主要材料及材料性能（1）箱梁混凝土：C50（2）橋墩鋼筋混凝土：C30（3）基礎混凝土：C20（4）預應力鋼筋：采用抗拉強度標準值為1860MPa，公稱直徑d=15.2mm的低松弛高強度鋼絞線。（5）非預應力鋼筋：受力筋采用Ⅱ級HRB400級鋼筋，非受力筋采用Ⅰ級HPB300級鋼筋。1)混凝土表格SEQ表格\*ARABIC1混凝土表格強度等級彈性模量(MPa)容重EQ(kN/m3)線膨脹系數EQfck(MPa)EQftk(MPa)EQfcd(MPa)EQftd(MPa)C503450025.000.00001032.402.6522.401.83C303000025.000.00001020.102.0113.801.392)普通鋼筋表格SEQ表格\*ARABIC2普通鋼筋表格普通鋼筋彈性模量(MPa)容重EQ(kN/m3)EQfsk(MPa)EQfsd(MPa)EQf'sd(MPa)R23521000076.98235195195HRB33520000076.98335280280HRB40020000076.98400330330KL40020000076.984003303303)預應力材料表格SEQ表格\*ARABIC3預應力材料表格預應力鋼絞線彈性模量(MPa)張拉控制應力(MPa)孔道磨阻系數孔道偏差系數鋼絞線松弛系數一端錨固回縮值(m)Bot19500000.3000.006601.00.00600Top19500000.2000.001001.00.006001.6計算原則、內容及控制標準1.6.1計算原則（1）汽車—超20級作用下各截面的最大彎矩汽車荷載偏載時的增大系數?；钶d偏載時的增大系數，習慣上有兩種取值主意：一是將箱梁視未開口截面，按偏心壓力法（剛性橫梁法）求出邊肋的橫向分布系數，作為增大系數取值的根據；另一則是將活載產生的內力直接增大15%。本設計對汽車荷載偏安全地取前一種主意計算。（2）掛車-120級作用下各截面的最大彎矩及最大剪力驗算時，平板掛車不考慮沖擊力；由《馬路橋涵設計通用規(guī)范》（JTGD60-2004）第2.3.5條之二可知，平板掛車在1橋梁全長內用一輛布載。掛車荷載偏載時的增大系數取15%考慮。（3）掛車荷載不與人群荷載及其他荷載同時浮上。1.6.2計算內容考慮施工過程，計算恒載、活載、溫度、溫度梯度、支座沉降等作用下內力和組合內力，出計算書。1.6.2控制標準（1）求汽車荷載沖擊系數。按照《馬路橋涵設計通用規(guī)范》（JTGD60-2004）第2.3.2條表2.3.2-1的規(guī)定，當荷載長度L在5m與45m之間時，沖擊系數μ可按下式計算：μ=（45-L）×0.3/（45-5）=0.3375-0.0075L（2）各截面荷載內力組合由《通用規(guī)范》第4.1.2條，在按極限狀態(tài)設計箱梁各截面時，應按組合Ⅰ（恒載+汽車荷載+人群荷載）及組合Ⅱ（恒載+掛車荷載）分離組合荷載，并選取相應的荷載安全系數，注重到荷載效應占總荷載效應不同比例時需考慮不同的提高系數。二、模型建立與分析2.1計算模型圖3計算模型圖1）節(jié)點數量：80；圖4節(jié)點劃分圖示2）單元數量：75；圖5單元劃分圖示3）邊界條件數量：6支承分離為每個橋墩兩個，邊跨支點各一處；彈性銜接每個橋墩與主梁固結處各兩個。圖6邊界條件4)施工階段數量：16，施工階段步驟如下：施工階段1：CS1，持續(xù)時光12天；施工階段9：CS9，持續(xù)時光12天；施工階段2：CS2，持續(xù)時光12天；施工階段10：CS10，持續(xù)時光12天；施工階段3：CS3，持續(xù)時光12天；施工階段11：CS11，持續(xù)時光12天；施工階段4：CS4，持續(xù)時光12天；施工階段12：CS12，持續(xù)時光12天；施工階段5：CS5，持續(xù)時光12天；施工階段13：CS13，持續(xù)時光30天；施工階段6：CS6，持續(xù)時光12天；施工階段14：CS14，持續(xù)時光15天；施工階段7：CS7，持續(xù)時光12天；施工階段15：CS15，持續(xù)時光30天；施工階段8：CS8，持續(xù)時光12天；施工階段16：CS16，持續(xù)時光10000天；圖7施工階段控制分析表格4施工階段劃分說明施工階段施工天數/天施工內容說明CS112現(xiàn)澆墩頂主梁19、20、21、22、23、49、50、51、52、53單元CS212掛籃懸臂澆筑18，24,48,54單元CS312掛籃懸臂澆筑17,25,47,55單元CS412掛籃懸臂澆筑16,26,46,56單元CS512掛籃懸臂澆筑15,27,45,57單元CS612掛籃懸臂澆筑14,28,33,58單元CS712掛籃懸臂澆筑13,29,43,59單元CS812掛籃懸臂澆筑12,30,42,60單元CS912掛籃懸臂澆筑11,31,41,61單元CS1012掛籃懸臂澆筑10,32,40,62單元CS1112掛籃懸臂澆筑9,33,39,63單元CS1212掛籃懸臂澆筑8,34,38,64單元CS1330掛籃懸臂澆筑7,35,37,65單元CS1415左邊跨合龍CS1530右邊跨合龍CS161000中跨合龍，現(xiàn)澆防撞欄桿和橋面鋪裝，考慮收縮徐變影響2.2主要鋼筋布置圖及材料用表（1）預應力鋼束特征值圖8.1鋼束特征值圖8.2鋼束特征值表格5預應力鋼絞線彈性模量(MPa)張拉控制應力(MPa)孔道磨阻系數孔道偏差系數鋼絞線松弛系數一端錨固回縮值(m)15-1919500013950.2500.001500.30.0060015-1519500013950.2500.001500.30.00600 （1）預應力鋼束布置圖2.3截面特性及有效寬度1)截面特性表格6:橋墩A(m2)Asy(m2)Asz(m2)z(+)(m)z(-)(m)14.58012.15012.1500.9000.900Ixx(m4)Iyy(m4)Izz(m4)y(+)(m)y(-)(m)13.5423.93779.7164.0504.0502．4荷載工況及荷載組合1)自重自重系數：-1.002）二期恒載二期恒載由兩側防撞護欄及橋面鋪裝組成，計算后取值：75KN/m。3)整體升降溫溫度降溫：-20.00（[C]）溫度升溫：20.00（[C]）4）梁截面溫度表7梯度升溫（單元11）序號寬度(m)到箱梁頂距離(m)溫度([C])112.300.00-12.50212.300.18-3.40表8梯度降溫（單元11）序號寬度(m)到箱梁頂距離(m)溫度([C])112.300.0025.00212.300.186.705)徐變收縮收縮齡期：3天;構件理論厚度：1m；理論厚度自動計算：由程序自動計算各構件的理論厚度。公式為：EQh＝a×Ac／u；EQu＝L0＋a×Li；收縮齡期：3天;構件理論厚度：1m；理論厚度自動計算：由程序自動計算各構件的理論厚度。公式為：EQh＝a×Ac／u；EQu＝L0＋a×Li；6)支座沉降按照每個地基及基礎的最大沉降量的最不利的荷載組合舉行計算。第1組不勻稱沉降-0.005m；第2組不勻稱沉降-0.005m；7)可變荷載活載：汽車荷載，橋梁等級為馬路Ⅰ級；對于汽車荷載縱向整體沖擊系數μ，按照《馬路橋涵通用設計規(guī)范》第4.3.2條，沖擊系數μ可按下式計算：EQ當f＜1.5Hz時，μ＝0.05；EQ當1.5Hz≤f≤14Hz時，μ＝0.1767ln(f)－0.0157；EQ當f＞14Hz時，μ＝0.45；按照規(guī)范，計算的結構基頻f=0.48Hz，沖擊系數μ=0.050。三、內力圖3.1內力圖（1）恒載內力計算1）一期恒載內力值如表9.1所示，彎矩和剪力圖如圖9.1，圖9.2所示。表格9.1一期恒載內力值單元荷載位置軸向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)彎矩-y(kN*m)彎矩-z(kN*m)1一期恒載I[1]15.470-5677.860001一期恒載J[2]15.470-5079.4010757.302一期恒載I[2]00-5079.42010757.302一期恒載J[3]00-3807.7029642.4503一期恒載I[3]00-3807.7029642.4503一期恒載J[4]00-2535.99043122.7904一期恒載I[4]00-2535.99043122.7904一期恒載J[5]00-1264.27051198.3405一期恒載I[5]00-1264.27051198.3405一期恒載J[6]007.45053869.0806一期恒載I[6]007.45053869.0806一期恒載J[7]00605.9053255.7307一期恒載I[7]00605.9053255.7307一期恒載J[8]002027.24047002.0208一期恒載I[8]-19.0202027.15047002.0208一期恒載J[9]-31.8603464.02033967.3409一期恒載I[9]-53.403463.76033967.3409一期恒載J[10]-75.4804925.49014052.86010一期恒載I[10]-107.704924.9014052.86010一期恒載J[11]-14006423.90-12889.6011一期恒載I[11]-183.906422.790-12889.6011一期恒載J[12]-227.807971.450-47067.7012一期恒載I[12]-285.107969.610-47067.7012一期恒載J[13]-342.209580.290-88748.2013一期恒載I[13]-414.209577.440-88748.2013一期恒載J[14]-486.7011262.480-138257014一期恒載I[14]-575.5011258.290-138257014一期恒載J[15]-665.6013029.980-195980015一期恒載I[15]-767.4013024.370-195980015一期恒載J[16]-877.6014894.970-262361016一期恒載I[16]-1001014887.210-262361016一期恒載J[17]-1134016868.940-337905017一期恒載I[17]-1276016858.770-337905017一期恒載J[18]-1435018963.780-423175018一期恒載I[18]-1596018950.910-423175018一期恒載J[19]-1785021191.330-518794019一期恒載I[19]-1948021176.920-518794019一期恒載J[20]-2132023177.210-607840020一期恒載I[20]0023275.090-607840020一期恒載J[21]0023739.440-628997021一期恒載I[21]114.290-142350-624723021一期恒載J[22]114.290-120680-569487022一期恒載I[23]148.83022202.090-546911022一期恒載J[22]148.83022666.430-567102023一期恒載I[24]-1703020121.720-462103023一期恒載J[23]-1887022122.020-546911024一期恒載I[25]-1359017893.880-371524024一期恒載J[24]-1547020134.30-462105025一期恒載I[26]-1048015799.780-291299025一期恒載J[25]-1207017904.790-371525026一期恒載I[27]-781.3013826.350-220806026一期恒載J[26]-914.4015808.070-291300027一期恒載I[28]-556.8011961.750-159481027一期恒載J[27]-666.9013832.350-220806028一期恒載I[29]-374.6010193.870-106822028一期恒載J[28]-464.7011965.550-159482029一期恒載I[30]-219.508511.650-62380.8029一期恒載J[29]-292010196.690-106823030一期恒載I[31]-98.2106902.420-25774.1030一期恒載J[30]-155.408513.10-62382.2031一期恒載I[32]-4.5905354.3303325.43031一期恒載J[31]-48.506902.990-25775.4032一期恒載I[33]64.4203855.26025184.66032一期恒載J[32]32.105354.2603324.14033一期恒載I[34]111.5702393.05040011.43033一期恒載J[33]89.4803854.78025183.42034一期恒載I[35]139.56-4.07955.4687.2747953.72-1494.9734一期恒載J[34]126.72-4.072392.3487.2740009.77-1475.6135一期恒載I[36]148.8315.1-242.673.3849378.43-526.2735一期恒載J[35]148.8315.1954.243.3847955.3-586.6737一期恒載I[37]148.8316.56625.89-2.9248726.28-461.2237一期恒載J[38]148.8316.561822.8-2.9243828.91-527.4638一期恒載I[38]130.2512.581823.8851.7843827.02-1322.3638一期恒載J[39]117.4112.583260.7651.7831757.82-1382.1239一期恒載I[39]97.8803261.36031758.95039一期恒載J[40]75.804723.09012805.94040一期恒載I[40]46.4304723.46012806.55040一期恒載J[41]14.1106222.460-13178.9041一期恒載I[41]-26.4106222.440-13178.3041一期恒載J[42]-70.3207771.10-46403.9042一期恒載I[42]-124.107770.420-46403.4042一期恒載J[43]-181.309381.090-87136.2043一期恒載I[43]-248.809379.550-87135.7043一期恒載J[44]-321.2011064.570-135702044一期恒載I[44]-412.1011061.540-135702044一期恒載J[45]-502.1012833.220-192488045一期恒載I[45]-600.7012829.070-192486045一期恒載J[46]-710.8014699.660-257937046一期恒載I[46]-830014693.40-257937046一期恒載J[47]-963.1016675.120-332556047一期恒載I[47]-1101016666.560-332556047一期恒載J[48]-1260018771.560-416906048一期恒載I[48]-1417018760.370-416906048一期恒載J[49]-1606021000.780-511611049一期恒載I[49]-1742020989.760-511611049一期恒載J[50]-1927022990.020-599892050一期恒載I[50]148.83023070.530-599892050一期恒載J[51]148.83023534.870-620864051一期恒載I[51]120.2204071.490-621884051一期恒載J[52]120.2206238.430-643535052一期恒載I[53]0023489.040-625385052一期恒載J[52]0023953.380-646734053一期恒載I[54]-1969021389.850-535483053一期恒載J[53]-2153023390.150-625385054一期恒載I[55]-1614019164.130-438848054一期恒載J[54]-1802021404.550-535483055一期恒載I[56]-1292017072.130-352562055一期恒載J[55]-1451019177.140-438848056一期恒載I[57]-1015015100.680-276002056一期恒載J[56]-1148017082.40-352562057一期恒載I[58]-780013237.950-208604057一期恒載J[57]-890.1015108.550-276002058一期恒載I[59]-590.4011471.750-149865058一期恒載J[58]-680.5013243.440-208604059一期恒載I[60]-428.909790.970-99339.7059一期恒載J[59]-501.3011475.990-149865060一期恒載I[61]-297.508183.260-56643060一期恒載J[60]-354.709793.940-99339.7061一期恒載I[62]-193.706636.560-21448.6061一期恒載J[61]-237.608185.220-56643062一期恒載I[63]-115.105138.7606510.31062一期恒載J[62]-147.406637.750-21448.6063一期恒載I[64]-58.603677.68027441.15063一期恒載J[63]-80.6805139.4106510.31064一期恒載I[65]-22.1302241.1041492.2064一期恒載J[64]-34.9703677.98027441.15065一期恒載I[66]00819.88048762.28065一期恒載J[65]002241.21041492.2066一期恒載I[66]00-819.88048762.28066一期恒載J[67]00-221.42049803.58067一期恒載I[67]00-221.42049803.58067一期恒載J[68]001050.3048042.23068一期恒載I[68]001050.3048042.23068一期恒載J[69]002322.01040876.07069一期恒載I[69]002322.01040876.07069一期恒載J[70]003593.73028305.11070一期恒載I[70]003593.73028305.11070一期恒載J[71]004865.45010329.35071一期恒載I[71]004865.45010329.35071一期恒載J[72]005463.900072一期恒載I[73]-379740-114.290-4694.06072一期恒載J[74]-569280-114.290-122.52073一期恒載I[75]-105980-34.540-2506.25073一期恒載J[76]-295520-34.540-1124.47074一期恒載I[77]-19463028.6101120.35074一期恒載J[78]-38417028.610-24.01075一期恒載I[79]-301920120.2203640.56075一期恒載J[80]-491460120.220-1168.4076一期恒載I[36]148.830242.67049384.33076一期恒載J[37]148.830625.89048732.910圖9.1一期恒載彎矩圖圖9.2一期恒載剪力圖2）二期恒載內力值如表9.2所示，彎矩和剪力圖如圖9.3，圖9.4所示。表格9.2二期恒載內力值單元荷載位置軸向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)彎矩-y(kN*m)彎矩-z(kN*m)1二期恒載I[1]15.470-5677.860001二期恒載J[2]15.470-5079.4010757.302二期恒載I[2]00-5079.42010757.302二期恒載J[3]00-3807.7029642.4503二期恒載I[3]00-3807.7029642.4503二期恒載J[4]00-2535.99043122.7904二期恒載I[4]00-2535.99043122.7904二期恒載J[5]00-1264.27051198.3405二期恒載I[5]00-1264.27051198.3405二期恒載J[6]007.45053869.0806二期恒載I[6]007.45053869.0806二期恒載J[7]00605.9053255.7307二期恒載I[7]00605.9053255.7307二期恒載J[8]002027.24047002.0208二期恒載I[8]-19.0202027.15047002.0208二期恒載J[9]-31.8603464.02033967.3409二期恒載I[9]-53.403463.76033967.3409二期恒載J[10]-75.4804925.49014052.86010二期恒載I[10]-107.704924.9014052.86010二期恒載J[11]-14006423.90-12889.6011二期恒載I[11]-183.906422.790-12889.6011二期恒載J[12]-227.807971.450-47067.7012二期恒載I[12]-285.107969.610-47067.7012二期恒載J[13]-342.209580.290-88748.2013二期恒載I[13]-414.209577.440-88748.2013二期恒載J[14]-486.7011262.480-138257014二期恒載I[14]-575.5011258.290-138257014二期恒載J[15]-665.6013029.980-195980015二期恒載I[15]-767.4013024.370-195980015二期恒載J[16]-877.6014894.970-262361016二期恒載I[16]-1001014887.210-262361016二期恒載J[17]-1134016868.940-337905017二期恒載I[17]-1276016858.770-337905017二期恒載J[18]-1435018963.780-423175018二期恒載I[18]-1596018950.910-423175018二期恒載J[19]-1785021191.330-518794019二期恒載I[19]-1948021176.920-518794019二期恒載J[20]-2132023177.210-607840020二期恒載I[20]0023275.090-607840020二期恒載J[21]0023739.440-628997021二期恒載I[21]114.290-142350-624723021二期恒載J[22]114.290-120680-569487022二期恒載I[23]148.83022202.090-546911022二期恒載J[22]148.83022666.430-567102023二期恒載I[24]-1703020121.720-462103023二期恒載J[23]-1887022122.020-546911024二期恒載I[25]-1359017893.880-371524024二期恒載J[24]-1547020134.30-462105025二期恒載I[26]-1048015799.780-291299025二期恒載J[25]-1207017904.790-371525026二期恒載I[27]-781.3013826.350-220806026二期恒載J[26]-914.4015808.070-291300027二期恒載I[28]-556.8011961.750-159481027二期恒載J[27]-666.9013832.350-220806028二期恒載I[29]-374.6010193.870-106822028二期恒載J[28]-464.7011965.550-159482029二期恒載I[30]-219.508511.650-62380.8029二期恒載J[29]-292010196.690-106823030二期恒載I[31]-98.2106902.420-25774.1030二期恒載J[30]-155.408513.10-62382.2031二期恒載I[32]-4.5905354.3303325.43031二期恒載J[31]-48.506902.990-25775.4032二期恒載I[33]64.4203855.26025184.66032二期恒載J[32]32.105354.2603324.14033二期恒載I[34]111.5702393.05040011.43033二期恒載J[33]89.4803854.78025183.42034二期恒載I[35]139.56-4.07955.4687.2747953.72-1494.9734二期恒載J[34]126.72-4.072392.3487.2740009.77-1475.6135二期恒載I[36]148.8315.1-242.673.3849378.43-526.2735二期恒載J[35]148.8315.1954.243.3847955.3-586.6737二期恒載I[37]148.8316.56625.89-2.9248726.28-461.2237二期恒載J[38]148.8316.561822.8-2.9243828.91-527.4638二期恒載I[38]130.2512.581823.8851.7843827.02-1322.3638二期恒載J[39]117.4112.583260.7651.7831757.82-1382.1239二期恒載I[39]97.8803261.36031758.95039二期恒載J[40]75.804723.09012805.94040二期恒載I[40]46.4304723.46012806.55040二期恒載J[41]14.1106222.460-13178.9041二期恒載I[41]-26.4106222.440-13178.3041二期恒載J[42]-70.3207771.10-46403.9042二期恒載I[42]-124.107770.420-46403.4042二期恒載J[43]-181.309381.090-87136.2043二期恒載I[43]-248.809379.550-87135.7043二期恒載J[44]-321.2011064.570-135702044二期恒載I[44]-412.1011061.540-135702044二期恒載J[45]-502.1012833.220-192488045二期恒載I[45]-600.7012829.070-192486045二期恒載J[46]-710.8014699.660-257937046二期恒載I[46]-830014693.40-257937046二期恒載J[47]-963.1016675.120-332556047二期恒載I[47]-1101016666.560-332556047二期恒載J[48]-1260018771.560-416906048二期恒載I[48]-1417018760.370-416906048二期恒載J[49]-1606021000.780-511611049二期恒載I[49]-1742020989.760-511611049二期恒載J[50]-1927022990.020-599892050二期恒載I[50]148.83023070.530-599892050二期恒載J[51]148.83023534.870-620864051二期恒載I[51]120.2204071.490-621884051二期恒載J[52]120.2206238.430-643535052二期恒載I[53]0023489.040-625385052二期恒載J[52]0023953.380-646734053二期恒載I[54]-1969021389.850-535483053二期恒載J[53]-2153023390.150-625385054二期恒載I[55]-1614019164.130-438848054二期恒載J[54]-1802021404.550-535483055二期恒載I[56]-1292017072.130-352562055二期恒載J[55]-1451019177.140-438848056二期恒載I[57]-1015015100.680-276002056二期恒載J[56]-1148017082.40-352562057二期恒載I[58]-780013237.950-208604057二期恒載J[57]-890.1015108.550-276002058二期恒載I[59]-590.4011471.750-149865058二期恒載J[58]-680.5013243.440-208604059二期恒載I[60]-428.909790.970-99339.7059二期恒載J[59]-501.3011475.990-149865060二期恒載I[61]-297.508183.260-56643060二期恒載J[60]-354.709793.940-99339.7061二期恒載I[62]-193.706636.560-21448.6061二期恒載J[61]-237.608185.220-56643062二期恒載I[63]-115.105138.7606510.31062二期恒載J[62]-147.406637.750-21448.6063二期恒載I[64]-58.603677.68027441.15063二期恒載J[63]-80.6805139.4106510.31064二期恒載I[65]-22.1302241.1041492.2064二期恒載J[64]-34.9703677.98027441.15065二期恒載I[66]00819.88048762.28065二期恒載J[65]002241.21041492.2066二期恒載I[66]00-819.88048762.28066二期恒載J[67]00-221.42049803.58067二期恒載I[67]00-221.42049803.58067二期恒載J[68]001050.3048042.23068二期恒載I[68]001050.3048042.23068二期恒載J[69]002322.01040876.07069二期恒載I[69]002322.01040876.07069二期恒載J[70]003593.73028305.11070二期恒載I[70]003593.73028305.11070二期恒載J[71]004865.45010329.35071二期恒載I[71]004865.45010329.35071二期恒載J[72]005463.900072二期恒載I[73]-379740-114.290-4694.06072二期恒載J[74]-569280-114.290-122.52073二期恒載I[75]-105980-34.540-2506.25073二期恒載J[76]-295520-34.540-1124.47074二期恒載I[77]-19463028.6101120.35074二期恒載J[78]-38417028.610-24.01075二期恒載I[79]-301920120.2203640.56075二期恒載J[80]-491460120.220-1168.4076二期恒載I[36]148.830242.67049384.33076二期恒載J[37]148.830625.89048732.910圖9.3二期恒載彎矩圖圖9.4二期恒載剪力圖3）活載內力值如表10所示，彎矩和剪力包絡圖如圖10.1，圖10.2所示。表格10活載內力值單元荷載位置軸向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)彎矩-y(kN*m)彎矩-z(kN*m)1車輛荷載I[1]3.470-1512.08837.73001車輛荷載J[2]3.470-1432.38837.732624.9902車輛荷載I[2]00-1432.38864.442624.9902車輛荷載J[3]00-1269.55864.447502.503車輛荷載I[3]00-1269.55864.447502.503車輛荷載J[4]00-1116.27864.4411439.0204車輛荷載I[4]00-1116.27864.4411439.0204車輛荷載J[5]00-973.26864.4414460.0405車輛荷載I[5]00-973.26864.4414460.0405車輛荷載J[6]00-841.14864.4416603.8406車輛荷載I[6]00-841.14837.7316603.8406車輛荷載J[7]00-782.89837.7317323.2407車輛荷載I[7]00-782.89870.3717323.2407車輛荷載J[8]00717.72870.3718335.9508車輛荷載I[8]-5.550.13717.7869.8718335.957.768車輛荷載J[9]-6.760.13841.76870.818446.977.769車輛荷載I[9]-11.090.23841.71869.5418446.9713.129車輛荷載J[10]-13.090.23965.987117752.6913.1210車輛荷載I[10]-18.20.32965.8869.2217752.6918.7210車輛荷載J[11]-21.080.321089.11871.1216344.1818.7211車輛荷載I[11]-27.210.421088.94868.9116344.1824.6111車輛荷載J[12]-30.90.421210.81871.1314298.7624.6112車輛荷載I[12]-38.010.531210.56868.6114298.7630.8112車輛荷載J[13]-42.620.531330.78871.0311875.5830.8213車輛荷載I[13]-50.780.641330.44868.311875.5837.313車輛荷載J[14]-56.350.641449.05870.83-10805.5737.3314車輛荷載I[14]-65.740.751448.58867.97-10805.5744.0614車輛荷載J[15]-72.210.751565.76870.53-13422.9544.0915車輛荷載I[15]-83.110.861565.12867.6-13422.9551.0415車輛荷載J[16]-90.350.861681.12870.13-18261.6951.0716車輛荷載I[16]-102.220.961680.32867.18-18261.6958.1816車輛荷載J[17]-110.420.961795.36869.65-24059.6858.2217車輛荷載I[17]-123.471.061794.37866.7-24059.6865.4417車輛荷載J[18]-132.61.061908.69869.09-30644.165.4918車輛荷載I[18]-146.651.161907.5866.17-30644.172.7718車輛荷載J[19]-156.761.162021.31868.45-37985.0672.8319車輛荷載I[19]-170.231.042020.05857.07-37985.0678.8219車輛荷載J[20]-179.751.042115.58858.62-44729.8678.8720車輛荷載I[20]002124.37824.67-44729.86020車輛荷載J[21]002145.96824.67-46327.46021車輛荷載I[21]-161.4206406.81863.84-46608.52021車輛荷載J[22]-161.4206451.72863.84-51889.91022車輛荷載I[23]-333.6302271.65824.67-52878.3022車輛荷載J[22]-333.6302293.37824.67-54580.49023車輛荷載I[24]-479.441.042152.23857.07-45724.8178.8223車輛荷載J[23]-487.281.042249.12858.62-52878.378.8724車輛荷載I[25]-458.511.162039.63866.17-37885.4672.7724車輛荷載J[24]-467.031.162154.75868.45-45722.6572.8325車輛荷載I[26]-438.111.061927.03866.7-30766.7165.4425車輛荷載J[25]-445.761.062042.3869.09-37884.4665.4926車輛荷載I[27]-419.490.961814867.18-24383.4958.1826車輛荷載J[26]-426.30.961929.55869.65-30765.8158.2227車輛荷載I[28]-402.80.861700.37867.6-18744.1651.0427車輛荷載J[27]-408.780.861816.33870.13-24382.6851.0728車輛荷載I[29]-387.490.741586.2867.97-13862.1444.0628車輛荷載J[28]-392.650.741702.65870.53-18742.2544.0929車輛荷載I[30]-375.080.631471.09868.310908.6337.329車輛荷載J[29]-379.440.631588.08870.83-13861.0337.3330車輛荷載I[31]-364.240.531355.44868.6112104.3930.8130車輛荷載J[30]-367.840.531472.85871.0310909.1430.8231車輛荷載I[32]-355.230.421239.51868.9113320.9924.6131車輛荷載J[31]-358.110.421357.03871.1312105.1624.6132車輛荷載I[33]-347.80.321123.94869.2214534.9918.7232車輛荷載J[32]-349.990.321240.94871.1213322.0518.7233車輛荷載I[34]-341.970.231009.71869.5415874.8913.1233車輛荷載J[33]-343.510.231125.2187114536.4213.1234車輛荷載I[35]-337.640.13898.19869.8716824.317.7634車輛荷載J[34]-338.550.131010.82870.815877.997.7635車輛荷載I[36]-333.630808.13861.4717132.66035車輛荷載J[35]-333.630899.62861.4716820.52037車輛荷載I[37]-333.630808.07861.4717133037車輛荷載J[38]-333.630899.56861.4716818.76038車輛荷載I[38]-337.410.13898.21869.8716823.257.7638車輛荷載J[39]-338.320.131010.87870.815873.887.7639車輛荷載I[39]-341.520.231009.81869.5415871.9213.1239車輛荷載J[40]-343.050.231125.3387114526.9813.1240車輛荷載I[40]-347.150.321124.1869.2214526.3318.7240車輛荷載J[41]-349.340.321241.12871.1213310.1718.7241車輛荷載I[41]-354.470.421239.71868.9113309.7124.6141車輛荷載J[42]-357.350.421357.23871.1312093.1424.6242車輛荷載I[42]-363.340.531355.68868.6112092.8230.8142車輛荷載J[43]-366.940.531473.08871.0310898.630.8243車輛荷載I[43]-374.030.641471.36868.310898.437.343車輛荷載J[44]-378.390.641588.32870.83-13850.6337.3344車輛荷載I[44]-387.050.751586.33867.97-13851.2644.0644車輛荷載J[45]-392.20.751702.76870.53-18734.3644.0945車輛荷載I[45]-401.940.861700.58867.6-18735.7651.0445車輛荷載J[46]-407.920.861816.5870.13-24377.0151.0746車輛荷載I[46]-418.430.961814.25867.18-24377.0158.1846車輛荷載J[47]-425.240.961929.74869.65-30762.7158.2247車輛荷載I[47]-436.861.061927.31866.7-30762.7165.4447車輛荷載J[48]-444.521.062042.51869.09-37883.0365.4948車輛荷載I[48]-457.11.162039.93866.17-37883.0372.7748車輛荷載J[49]-465.621.162154.98868.45-45722.6272.8349車輛荷載I[49]-475.661.052153857.07-45722.6278.8249車輛荷載J[50]-483.51.052249.7858.62-52879.2678.8750車輛荷載I[50]-333.6302271.64824.67-52879.26050車輛荷載J[51]-333.6302293.36824.67-54581.52051車輛荷載I[51]-161.420-6450.36863.84-51889.83051車輛荷載J[52]-161.420-6405.46863.84-46571.59052車輛荷載I[53]002124.17824.67-44691.04052車輛荷載J[52]002145.76824.67-46288.18053車輛荷載I[54]-170.381.042019.82857.07-37947.3878.8253車輛荷載J[53]-179.841.042115.36858.62-44691.0478.8754車輛荷載I[55]-146.631.161907.26866.17-30608.8472.7754車輛荷載J[54]-156.741.162021.09868.45-37947.3872.8355車輛荷載I[56]-123.451.061794.11866.7-24027.7465.4455車輛荷載J[55]-132.581.061908.45869.09-30608.8465.4956車輛荷載I[57]-102.240.961680.04867.18-18233.9758.1856車輛荷載J[56]-110.430.961795.1869.65-24027.7458.2257車輛荷載I[58]-83.130.861564.82867.6-13422.9251.0457車輛荷載J[57]-90.350.861680.84870.13-18233.9751.0758車輛荷載I[59]-64.990.751448.3867.97-10809.4544.0658車輛荷載J[58]-71.840.751565.48870.53-13422.9244.0959車輛荷載I[60]-49.850.641330.14868.311900.5637.359車輛荷載J[59]-55.930.641448.75870.83-10809.4537.3360車輛荷載I[61]-37.160.531210.22868.6114327.2330.8160車輛荷載J[60]-42.290.531330.45871.0311900.5630.8261車輛荷載I[62]-26.540.421088.58868.9116371.1624.6161車輛荷載J[61]-30.680.421210.44871.1314327.2324.6162車輛荷載I[63]-17.730.32965.44869.2217777.1818.7262車輛荷載J[62]-20.960.321088.72871.1216371.1618.7263車輛荷載I[64]-10.730.23841.39869.5418468.0213.1263車輛荷載J[63]-13.050.23965.5387117777.1813.1264車輛荷載I[65]5.360.13717.45869.8718352.967.7664車輛荷載J[64]-6.770.13841.45870.818468.027.7665車輛荷載I[66]00-783.48870.3717336.13065車輛荷載J[65]00717.48870.3718352.96066車輛荷載I[66]00783.48837.7317336.13066車輛荷載J[67]00841.71837.7316615.09067車輛荷載I[67]00841.71864.4416615.09067車輛荷載J[68]00973.8864.4414468.11068車輛荷載I[68]00973.8864.4414468.11068車輛荷載J[69]001116.78864.4411444.31069車輛荷載I[69]001116.78864.4411444.31069車輛荷載J[70]001270.02864.447505.37070車輛荷載I[70]001270.02864.447505.37070車輛荷載J[71]001432.8864.442625.82071車輛荷載I[71]001432.8837.732625.82071車輛荷載J[72]001512.48837.730072車輛荷載I[73]-7027.20171.4804298.4072車輛荷載J[74]-7027.20171.480-2200.91073車輛荷載I[75]-7872.40182.9504609.24073車輛荷載J[76]-7872.40182.950-2321.74074車輛荷載I[77]-7871.40-182.950-4608.98074車輛荷載J[78]-7871.40-182.9502322.17075車輛荷載I[79]-7021.60-171.470-4297.96075車輛荷載J[80]-7021.60-171.4702201.28076車輛荷載I[36]-333.630-808.13831.7917121.43076車輛荷載J[37]-333.630808.07831.7917121.020圖10.1車輛荷載彎矩包絡圖圖10.2車輛荷載剪力包絡圖4）內力組合按照《橋規(guī)》規(guī)范要求決定效應組合設計值?；窘M合：Sud=1.2恒載+1.4車輛荷載頻遇組合：Sfd=恒載+0.7車輛荷載/（1+μ）準永遠組合：Sqd=恒載+0.4車輛荷載/（1+μ）內力組合值分離如表11.1、11.2、11.3所示。表格11.1基本組合內力值單元荷載位置軸向(kN)剪力-y(kN)剪力-z(kN)扭矩(kN*m)彎矩-y(kN*m)彎矩-z(kN*m)1基本組合I[1]18.740-7212.411172.82001基本組合J[2]18.740-6548.411172.8213313.6102基本組合I[2]00-6548.441210.2113313.6102基本組合J[3]00-5146.581210.2136955.7803基本組合I[3]00-5146.581210.2136955.7803基本組合J[4]00-3758.11210.2154291.5204基本組合I[4]00-3758.11210.2154291.5204基本組合J[5]00-2383.981210.2165356.5105基本組合I[5]00-2383.981210.2165356.5105基本組合J[6]00-1025.121210.2170204.3406基本組合I[6]00-1025.121172.8270204.3406基本組合J[7]001538.121172.8270354.1307基本組合I[7]001538.121218.5270354.1307基本組合J[8]003021.71218.5265307.6908基本組合I[8]-26.59-0.193021.581217.8265307.69-10.878基本組合J[9]-40.130.194521.621219.1252739.52-10.879基本組合I[9]-66.95-0.324521.291217.3552739.5218.379基本組合J[10]-90.140.326044.451219.432693.3518.3710基本組合I[10]-127.93-0.456043.741216.932693.3526.2110基本組合J[11]-161.790.457600.061219.57-27613.126.2111基本組合I[11]-211.890.597598.781216.48-27613.134.4611基本組合J[12]-257.6-0.599198.931219.58-61028.2434.4612基本組合I[12]-321.380.749196.861216.06-61028.2443.1312基本組合J[13]-380.62-0.7410851.951219.44-101647.243.1513基本組合I[13]-459.54-0.8910848.81215.62-101647.252.2313基本組合J[14]-534.230.8912570.281219.17-150648.452.2614基本組合I[14]-630.511.0412565.71215.16-150648.461.6914基本組合J[15]-722.67-1.0414365.161218.74-208286.961.7315基本組合I[15]-833.16-1.214359.031214.64-208286.971.4515基本組合J[16]-944.981.216248.121218.19-277027.971.516基本組合I[16]-1076.31.3516239.771214.05-277027.981.4516基本組合J[17]-1210.7-1.3518230.111217.51-355569.781.5117基本組合I[17]-1361.51.4918219.251213.39-355569.791.6117基本組合J[18]-1521.2-1.4920322.41216.72-444190.291.6918基本組合I[18]-1690.61.6220308.751212.64-444190.2101.8818基本組合J[19]-1878.7-1.6222536.161215.83-543422.4101.9719基本組合I[19]-2049.71.46225211199.9-543422.4110.3519基本組合J[20]-22331.4624501.161202.06-635644110.4220基本組合I[20]0024604.421154.54-635644020基本組合J[21]0025063.271154.54-657540.8021基本組合I[21]399.080-26900.441209.38-650767.1021基本組合J[22]399.080-24837.291209.38-583182.4022基本組合I[23]709.64023365.571154.54-560765.1022基本組合J[22]709.64023824.611154.54-581507.8023基本組合I[24]-19781.4621300.821199.9-473615.3110.3523基本組合J[23]-2158.81.4623282.911202.06-560765.1110.4224基本組合I[25]-1633.31.6219084.711212.64-380404.8101.8824基本組合J[24]-1819.2-1.6221313.961215.83-473615.8101.9725基本組合I[26]-1319.91.4916991.841213.39-297768.891.6125基本組合J[25]-1477.5-1.4919096.311216.72-38040591.6926基本組合I[27]-1050.31.3515009.81214.05-225155.381.4526基本組合J[26]-1182.7-1.3517000.851217.51-297769.181.5127基本組合I[28]-822.09-1.213127.461214.64-162055.571.4527基本組合J[27]-932.131.215016.511218.19-225155.671.528基本組合I[29]-635.041.0411333.561215.16-108026.161.6928基本組合J[28]-725.37-1.0413131.991218.74-162056.561.7329基本組合I[30]-476.68-0.899617.721215.62-62696.7152.2329基本組合J[29]-549.680.8911336.931219.17-108026.952.2630基本組合I[31]494.750.747968.541216.06-26789.0543.1330基本組合J[30]441.96-0.749619.711219.44-62698.1443.1531基本組合I[32]578.560.596375.511216.4827414.2334.4631基本組合J[31]538.