上承式懸鏈線箱形拱橋設計計算書

PAGEPAGE61上承式懸鏈線箱形拱橋第一部分方案簡介及結構尺寸擬定一、設計技術標準：1、設計荷載：汽車-20級，掛車-100級，人群3.0kN/m2。2、橋面寬度：凈-7+2×1.5（護欄）。3、抗震烈度：7度。4、沖刷深度：一般沖刷線低于河床1m,最大沖刷線低于河床2m。5、橋面設計標高：300.00m。二、設計規(guī)范：1、JTJ021-89<<公路橋梁設計通用規(guī)范>>2、JTJ022-85<<公路磚石及混泥土橋涵設計規(guī)范〉〉3、JTJ023-85<<公路鋼筋混凝土及預應力混凝土設計規(guī)范>>4、JTJ024-85<<公路橋涵地基與基礎設計規(guī)范>>5、JTJ041-89<<公路橋涵施工技術規(guī)范>>三、橋孔長度的確定本設計經(jīng)方案比選后，選擇上承式懸鏈線箱形拱橋，總長72.3m，凈跨徑70m，凈矢高10.0m。圖1橋位地質剖面圖四、主要構件材料及其數(shù)據(jù)拱頂填土包括橋面的平均高度hd’=0.5m，材料容重γ1=22kN/m3；護拱及拱腔為1號石灰砂漿砌片石，γ2=23kN/m3；主拱圈為30號鋼筋混凝土組合箱形截面，γ3=25kN/m3；拱上填料為30號片石混凝土，γ3=22kN/m3。五、主拱圈截面幾何要素的計算（一）主拱圈橫截面設計拱圈截面高度按經(jīng)驗公式估算H=拱圈由7個各為1.4m寬的拱箱組成，全寬B0=9.8m。箱頂板采用微彎板，拱圈橫斷面的構造如下圖所示。整個設計按全寬進行，其橫截面的計算順序為全寬的大形減去邊箱外腹的凹梯形減去箱內空矩形減去箱內弓形加上箱底板內角。（二）箱頂微彎蓋板弓形截面的幾何性質凈矢跨比：凈半徑：圓心角及正弦、余弦值：弓形面積：弓形面積的重心到其圓心的距離：繞重心軸的慣性矩：（三）箱形拱圈截面的幾何性質截面積：A=9.8*1.30-2*0.5*(0.56+0.72)*0.08-7*1.08*1.02-7*0.057852+14*0.5*0.08*0.08=4.5622m2繞箱底邊緣的凈面矩：主拱圈截面的重心軸：主拱圈截面繞重心軸的慣性矩主拱圈截面繞重心軸的回轉半徑：第二部分內力計算與荷載組合一．拱軸系數(shù)的確定根據(jù)實腹式懸鏈線拱橋拱軸系數(shù)確定的公式：，，——分別為拱頂填料、拱圈及腹拱填料的容重；——拱頂填料厚度；——拱圈厚度；——拱腳處拱軸線的水平傾角。先假定m＝4.324，相應的＝0.19，f0/l0＝1/7，查《拱橋》（上冊）表（Ⅲ）－20（12）得：，主拱圈的計算跨徑和計算矢高：二、全橋結構計算圖式的確定按照桿系程序分析的原理，遵循結構離散化的原則。全橋以下面原則在適當位置劃分節(jié)點：1）桿件的轉折點和截面的變化點；2）施工分界點、邊界處及支座處；3）需驗算或求位移的截面處；4）當出現(xiàn)位移不連續(xù)的情況時，例如相鄰兩單元以鉸接形式相連（轉角不連續(xù)），可在鉸接處設置兩個節(jié)點，利用主從約束考慮該連接方式。故全橋共分56個單元，其中拱肋分為28個單元，橋面與拱肋按相同的分段長度也分為28個單元。圖3半拱肋單元劃分示意圖（尺寸單位：m）三、全橋施工階段的劃分1、為方便計算，全橋共分三個階段：第一階段，澆注箱形拱肋，合攏；第二階段，實腹式拱填料，橋面板、橋面鋪裝施工完成；第三階段，成橋1000天后的徐變等計算。表1截面特性及單元重量計算結果表(單位：KN,m)2、橫隔板的布置及重量的計算橫隔板沿箱肋中軸均勻設置，取板間間距，中段箱肋設11道橫隔板，端橫隔板到接頭中線的距離為0.3m，則中段箱肋弧長之半為則接頭位置剛好在ξ＝0.37處。端段箱肋弧長SⅠ=(S’-SⅡ)=*(74.2950-26.2)=24.0475m端段箱肋設10道橫隔梁，則端橫隔板距起拱面的長度為：ΔS=SⅠ-2.56*9-0.3=0.7075m橫隔板的截面積：橫隔板重力：空心板：實心板：中接頭加強部分：拱腳加強段：3、橋面系每米重力計算人行道板：γ=25kN/m31.50*0.03*24*2＝2.16kN/m拱頂填料及瀝青表處面層重力：γ=22kN/m3每延米長欄桿的重力：0.25*1.0*25＝6.25kN/m三、恒載內力計算全橋主要施工階段的內力如圖6所示。拱肋澆注階段：在支架或托架上澆注1-24號拱肋段，澆注結束時全橋的恒載內力如表2所示。表2拱肋恒載內力表單元號節(jié)點號軸力剪力彎矩117.832e++003-7.951ee+00223.395e++00327.614e++0031.075e++0034.325e++002777.031e++0034.199e++002-1.950ee+003386.954e++003-1.399ee+0022-1.225ee+003314146.672e++0031.828e++0022.645e++003156.668e++0039.717e++0012.752e++0032、第二階段，橋面鋪裝及橋面系完成后的全橋恒載內力如表3所示。表3全橋恒載內力表單元號節(jié)點號軸力剪力彎矩111.380e++004-2.781ee+00331.028e++00421.387e++0042.693e++0031.628e++003771.327e++0047.620e++002-4.859ee+003381.322e++004-5.768ee+0022-3.117ee+003314141.260e++0042.454e++0026.373e++003151.260e++0043.455e++0016.636e++003四、驗算拱軸系數(shù)恒載對l/4截面和拱腳截面的力矩知：，該值與0.19之差小于半級即0.0025，所以可以確定上面擬定的橋跨結構形式的設計拱軸系數(shù)m=4.324.五、活載內力計算（一）影響線的計算將單位荷載P=1作用在各橋面的節(jié)點上，求得結構的變形及內力，可得位移影響線和內力影響線。（二）人群、履帶車、掛車加載人群加載只需求出影響的正、負區(qū)段面積；履帶車離散為若干集中力；掛車按集中荷載加載。（三）汽車加載掛車、履帶車全橋只考慮一輛。汽車荷載是由主車和重車組成的車隊，車距又受到約束，求其最大、最小效應是個較復雜的問題。這種情況下，車輛數(shù)和車距都是未知參數(shù)，隨具體影響線而變化，問題歸結為求具有多個變量的函數(shù)在約束條件下的極值。此問題的解決借助于計算機程序完成。1、汽車最大、最小內力如表6所示。表4汽車荷載效應汽車MaxM結果：單元號節(jié)點號軸力剪力彎矩115.367e++002-2.969ee+00221.668e++00325.578e++0021.807e++0027.936e++002772.796e++002-2.773ee+00111.000e++00383.951e++002-1.234ee+00221.089e++00314147.527e++002-7.427ee+00111.105e++003155.189e++002-8.769ee+00111.094e++003汽車MinM結果:單元號節(jié)點號軸力剪力彎矩116.063e++0022.497e++002-1.596ee+003326.718e++002-1.689ee+0022-9.285ee+0022776.967e++0024.831e++000-8.042ee+002286.584e++0028.585e++000-8.310ee+002214144.235e++0023.592e++001-3.407ee+0022153.412e++002-6.413ee+0000-2.790ee+0022汽車MaxQ結果:單元號節(jié)點號軸力剪力彎矩114.932e++0022.784e++002-1.397ee+003324.932e++002-2.784ee+0022-5.151ee+0022774.011e++0021.611e++0026.115e++00284.011e++002-1.611ee+00221.029e++00314146.133e++0021.472e++0024.801e++002156.133e++002-1.472ee+00228.480e++002汽車MinQ結果:單元號節(jié)點號軸力剪力彎矩116.500e++002-3.065ee+00221.582e++00326.500e++0023.065e++0026.111e++002774.175e++002-7.913ee+00115.321e++00284.175e++0027.913e++0013.298e++00214145.554e++002-1.372ee+00228.637e++002155.554e++0021.372e++0025.206e++002汽車MaxN結果::單元號節(jié)點號軸力剪力彎矩119.362e++002-1.171ee+00224.485e++00229.362e++0021.171e++0027.763e++001778.736e++0021.066e++002-3.507ee+002288.736e++002-1.066ee+0022-7.429ee+001114148.205e++0027.314e++0015.166e++002158.205e++002-7.314ee+00117.001e++002掛車最大、最小小彎矩和剪剪力如表7所示。表5掛車荷載載效應掛車MaxM結果::單元號節(jié)點號軸力剪力彎矩111.104e++003-6.553ee+00223.808e++00329.710e++0026.182e++0021.767e++003776.388e++002-6.462ee+00112.403e++00388.728e++002-1.200ee+00222.644e++00314141.463e++003-1.332ee+00222.690e++003151.490e++003-2.785ee+00222.694e++003掛車MinM結果::單元號節(jié)點號軸力剪力彎矩111.020e++0035.668e++002-3.801ee+003321.141e++003-4.355ee+0022-2.178ee+0033771.462e++003-1.545ee+0011-1.823ee+003381.417e++0033.002e++001-1.888ee+003314148.306e++0021.243e++002-7.955ee+0022156.539e++002-8.996ee+0011-5.337ee+0022掛車MaxQ結果::單元號節(jié)點號軸力剪力彎矩118.279e++0027.030e++002-3.323ee+003328.279e++002-7.030ee+0022-1.096ee+0033771.207e++0034.044e++0021.340e++00381.207e++003-4.044ee+00222.388e++00314141.475e++0033.754e++0021.526e++003151.475e++003-3.754ee+00222.465e++003掛車MinQ結果::單元號節(jié)點號軸力剪力彎矩111.221e++003-6.687ee+00223.714e++00321.221e++0036.687e++0021.596e++003775.139e++002-1.843ee+00222.291e++00385.139e++0021.843e++0021.813e++00314141.401e++003-3.534ee+00222.331e++003151.401e++0033.534e++0021.447e++003掛車MaxN結果::單元號節(jié)點號軸力剪力彎矩111.499e++003-3.628ee+00228.473e++00221.499e++0033.628e++002-3.022ee+0022771.572e++0039.048e++001-1.538ee+003381.572e++003-9.048ee+0011-1.304ee+003314141.494e++0036.694e++0012.484e++003151.494e++003-6.694ee+00112.651e++003表6人群荷載載效應人群MaxM結結果:單元號節(jié)點號軸力剪力彎矩111.745e++002-8.568ee+00114.561e++00221.514e++0027.172e++0011.954e++002776.844e++0017.212e++0001.459e++00288.645e++001-1.046ee+00111.687e++00214141.569e++002-4.477ee+00001.767e++002151.573e++002-3.193ee+00001.750e++002人群MinM結果::單元號節(jié)點號軸力剪力彎矩111.241e++0024.167e++001-2.980ee+002221.472e++002-2.780ee+0011-1.767ee+0022772.068e++0023.312e++000-2.202ee+002281.888e++0021.290e--001-2.167ee+002214141.058e++0026.143e++000-7.471ee+0011151.055e++0021.498e++000-6.881ee+0011人群MaxQ結果::單元號節(jié)點號軸力剪力彎矩119.321e++0014.428e++001-2.813ee+002229.321e++001-4.428ee+0011-1.410ee+0022771.500e++0022.424e++001-2.832ee+001181.500e++002-2.424ee+00113.454e++00114141.401e++0022.691e++0015.807e++000151.401e++002-2.691ee+00117.319e++001人群MinQ結果::單元號節(jié)點號軸力剪力彎矩112.053e++002-8.839ee+00114.393e++00222.053e++0028.839e++0011.593e++002771.250e++002-1.391ee+0011-4.540ee+001181.250e++0021.391e++001-8.153ee+001114141.224e++002-2.437ee+00119.590e++001151.224e++0022.437e++0013.360e++001人群MaxN結果:單元號節(jié)點號軸力剪力彎矩112.985e++002-4.414ee+00111.583e++00222.985e++0024.414e++0011.846e++001772.752e++0021.039e++001-7.410ee+001182.752e++002-1.039ee+0011-4.731ee+001114142.627e++0021.760e++0001.013e++002152.627e++002-1.760ee+00001.059e++002六、荷載組合（一一）橋梁結構按極限限狀態(tài)法設設計時，分分為兩種極極限狀態(tài)，即即正常使用用極限狀態(tài)態(tài)和承載能能力極限狀狀態(tài)。對于于這兩種極極限狀態(tài)，應應按不同的的荷載組合合系數(shù)對荷荷載效應進進行組合。正常使用極限狀狀態(tài)按正常常使用極限限狀態(tài)進行行荷載組合合時，不計計荷載系數(shù)數(shù)，即：組合ⅠⅠ (1)組合ⅡⅡ(2)組合ⅢⅢ(3)其中：永久久荷載中結結構重力產(chǎn)產(chǎn)生的效應應；基本可變變荷載中汽汽車、人群群產(chǎn)生的效效應；基本可變變荷載中平平板掛車或或履帶車產(chǎn)產(chǎn)生的效應應；其他可變變荷載中的的溫度影響響力和永久久荷載中的的混凝土收收縮、徐變變影響力及及基礎變位位影響力的的一種或幾幾種產(chǎn)生的的效應。載能力極限狀態(tài)態(tài)當結構重力產(chǎn)生生的效應與與汽車（或或掛車或履履帶車）荷荷載產(chǎn)生的的效應同號號時：組合ⅠⅠ (4)組合ⅡⅡ(5)組合ⅢⅢ (6)《橋規(guī)》中中還規(guī)定式式(4)和式(5)中的的系數(shù)數(shù)按以下情情況提高：：汽車荷載載效應占總總荷載效應應5%及以上時時，提高5%；33%及以上時時，提高3%；50%及以上時時，不再提提高。式(6)中的的系數(shù)數(shù)按以下情情況提高：：掛車或履履帶車荷載載效應占總總荷載效應應100%及以下時時，提高3%；60%及以下時時，提高2%；45%及以下時時，不再提提高。當結構重力產(chǎn)生生的效應與與汽車（或或掛車或履履帶車）荷荷載產(chǎn)生的的效應異號號時：組合ⅠⅠ= (7)組合ⅡⅡ= (8)組合ⅢⅢ= (9)3、設計值從各種組合中挑挑選出最不不利的值作作為設計值值。Ⅰ,Ⅱ,Ⅲ) (10)Ⅰ,Ⅱ,Ⅲ) (11)同時考慮箱梁抗抗扭提高系系數(shù)，本橋橋的上部箱箱梁在端部部及斜柱頂頂都有強大大的橫隔板板，且剛構構墩處墩梁梁固結，當當箱梁承受受偏載作用用而使箱梁梁扭轉時，箱箱梁截面的的自由扭轉轉受到約束束，而使縱縱向纖維受受到拉伸或或壓縮，從從而產(chǎn)生約約束扭轉正正應力與約約束扭轉剪剪應力，本本項梁抗扭扭提高系數(shù)數(shù)取用1.15。按上述述規(guī)定進行行荷載組合合，得到內內力值見下下表7。表7承載能力力極限狀態(tài)態(tài)荷載組合合I內力結果:單元號=1,左左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.943e++0041.491e++0041.154e++0041.879e++0041.858e++0041.172e++004剪力-3.807ee+0033-2.783ee+0033-1.530ee+0033-4.110ee+0033-4.092ee+0033-1.570ee+0033彎矩1.404e++0048.598e++0033.331e++0031.597e++0041.608e++0043.051e++003單元號=1,右右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.952e++0041.499e++0041.888e++0041.159e++0041.816e++0041.189e++004剪力3.696e++0032.687e++0034.000e++0031.460e++0033.693e++0031.623e++003彎矩2.177e++003-4.890ee+00113.143e++003-1.390ee+00333.438e++003-1.974ee+0033單元號=7,左左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.861e++0041.423e++0041.753e++0041.270e++0041.070e++0041.814e++004剪力1.031e++0039.047e++0021.233e++0035.555e++0026.494e++0029.829e++002彎矩-6.631ee+0033-4.991ee+0033-5.265ee+0033-3.692ee+0033-2.043ee+0033-7.633ee+0033單元號=7,右右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.855e++0041.417e++0041.266e++0041.747e++0041.083e++0041.790e++004剪力-7.981ee+0022-7.009ee+0022-3.889ee+0022-9.993ee+0022-7.020ee+0022-7.140ee+0022彎矩-4.252ee+0033-2.902ee+0033-2.458ee+0033-2.364ee+0033-3.317ee+0022-5.468ee+0033單元號=14,,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.768e++0041.348e++0041.666e++0041.229e++0041.542e++0041.208e++004剪力3.213e++0022.750e++0025.543e++002-5.336ee+00001.810e++0022.797e++002彎矩8.725e++0037.973e++0038.577e++0037.079e++0031.007e++0045.154e++003單元號=14,,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.767e++0041.348e++0041.607e++0041.239e++0041.510e++0041.196e++004剪力3.146e++0013.297e++0012.677e++002-2.126ee+0022-8.919ee+00112.421e++001彎矩9.088e++0038.275e++0038.739e++0037.262e++0031.037e++0045.486e++003正常使用極限狀狀態(tài)荷載組組合I內力結果:單元號=1,左左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.519e++0041.360e++0041.418e++0041.476e++0041.461e++0041.433e++004剪力-2.987ee+0033-2.569ee+0033-2.246ee+0033-3.193ee+0033-3.181ee+0033-2.277ee+0033彎矩1.102e++0048.195e++0036.517e++0031.233e++0041.241e++0046.301e++003單元號=1,右右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.526e++0041.366e++0041.482e++0041.425e++0041.458e++0041.448e++004剪力2.899e++0032.481e++0033.106e++0032.159e++0032.946e++0032.285e++003彎矩1.714e++0032.128e++0022.371e++003-4.433ee+00222.617e++003-8.924ee+0022單元號=7,左左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.456e++0041.299e++0041.354e++0041.381e++0041.333e++0041.424e++004剪力8.105e++0028.131e++0029.985e++0026.690e++0027.926e++0027.775e++002彎矩-5.205ee+0033-4.586ee+0033-4.003ee+0033-4.372ee+0033-3.440ee+0033-5.886ee+0033單元號=7,右右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.451e++0041.293e++0041.376e++0041.349e++0041.342e++0041.407e++004剪力-6.253ee+0022-6.279ee+0022-4.838ee+0022-8.133ee+0022-7.618ee+0022-5.681ee+0022彎矩-3.338ee+0033-2.712ee+0033-2.869ee+0033-1.648ee+0033-1.454ee+0033-4.165ee+0033單元號=14,,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.383e++0041.231e++0041.306e++0041.328e++0041.322e++0041.313e++004剪力2.536e++0022.493e++0024.233e++0028.383e++0011.705e++0022.875e++002彎矩6.845e++0037.113e++0037.599e++0037.332e++0038.395e++0035.957e++003單元號=14,,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.382e++0041.231e++0041.327e++0041.306e++0041.298e++0041.304e++004剪力2.634e++0013.068e++0011.961e++002-1.434ee+0022-6.021ee+00112.963e++001彎矩7.131e++0037.387e++0037.191e++0038.308e++0038.655e++0036.289e++003承載能力極限狀狀態(tài)荷載組組合II內力結果:單元號=1,左左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.943e++0041.471e++0041.133e++0041.879e++0041.725e++0041.152e++004剪力-3.807ee+0033-2.504ee+0033-1.250ee+0033-4.110ee+0033-4.037ee+0033-1.291ee+0033彎矩1.404e++0046.191e++0039.242e++0021.597e++0041.719e++0046.441e++002單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.952e++0041.479e++0041.888e++0041.139e++0041.719e++0041.169e++004剪力3.696e++0032.408e++0034.000e++0031.180e++0033.735e++0031.344e++003彎矩2.177e++003-1.571ee+00333.143e++003-2.912ee+00334.752e++003-3.496ee+0033單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.861e++0041.390e++0041.539e++0041.165e++0041.037e++0041.814e++004剪力1.031e++0039.818e++0021.277e++0034.115e++0027.266e++0029.829e++002彎矩-6.631ee+0033-4.806ee+0033-4.277ee+0033-3.439ee+0033-1.858ee+0033-7.633ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.855e++0041.385e++0041.161e++0041.533e++0041.051e++0041.790e++004剪力-7.981ee+0022-7.781ee+0022-2.633ee+0022-1.063ee+0033-7.791ee+0022-7.140ee+0022彎矩-4.252ee+0033-2.517ee+0033-2.556ee+0033-1.237ee+00335.334e++001-5.468ee+0033彎矩8.725e++0038.945e++0035.917e++0038.786e++0031.104e++0043.586e++003單元號=14,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.768e++0041.315e++0041.666e++0041.129e++0041.509e++0041.110e++004剪力3.213e++0022.803e++0025.543e++002-1.910ee+00111.864e++0022.456e++002彎矩8.725e++0038.945e++0038.577e++0035.373e++0031.104e++0043.586e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.767e++0041.315e++0041.607e++0041.239e++0041.476e++0041.099e++004剪力3.146e++0012.759e++0012.677e++002-2.126ee+0022-9.456ee+00112.663e++001彎矩9.088e++0039.261e++0038.739e++0037.262e++0031.136e++0043.871e++003正常使用極限狀狀態(tài)荷載組組合II內力結果:單元號=1,左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.535e++0041.344e++0041.403e++0041.491e++0041.477e++0041.417e++004剪力-3.202ee+0033-2.354ee+0033-2.031ee+0033-3.408ee+0033-3.396ee+0033-2.063ee+0033彎矩1.287e++0046.344e++0034.665e++0031.418e++0041.426e++0044.450e++003單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.542e++0041.351e++0041.498e++0041.409e++0041.473e++0041.433e++004剪力3.114e++0032.266e++0033.321e++0031.944e++0033.161e++0032.070e++003彎矩2.884e++003-9.580ee+00223.542e++003-1.614ee+00333.787e++003-2.063ee+0033單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.480e++0041.274e++0041.329e++0041.406e++0041.308e++0041.449e++004剪力7.511e++0028.725e++0021.058e++0036.096e++0028.520e++0027.181e++002彎矩-5.347ee+0033-4.444ee+0033-3.861ee+0033-4.514ee+0033-3.298ee+0033-6.029ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.475e++0041.269e++0041.401e++0041.324e++0041.317e++0041.432e++004剪力-5.659ee+0022-6.873ee+0022-4.244ee+0022-8.726ee+0022-8.212ee+0022-5.087ee+0022彎矩-3.634ee+0033-2.416ee+0033-3.165ee+0033-1.352ee+0033-1.158ee+0033-4.461ee+0033內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.408e++0041.206e++0041.281e++0041.353e++0041.297e++0041.339e++004剪力2.495e++0022.534e++0024.275e++0027.969e++0011.747e++0022.833e++002彎矩6.098e++0037.861e++0038.347e++0036.584e++0039.143e++0035.210e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.408e++0041.205e++0041.353e++0041.281e++0041.273e++0041.330e++004剪力3.047e++0012.654e++0012.003e++002-1.475ee+0022-6.434ee+00113.377e++001彎矩6.372e++0038.145e++0036.432e++0039.066e++0039.413e++0035.530e++003承載能力極限狀狀態(tài)荷載組組合III內力結果:單元號=1,左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.821e++0041.656e++0041.333e++0041.790e++0041.777e++0041.354e++004剪力-3.736ee+0033-3.337ee+0033-1.729ee+0033-4.073ee+0033-4.058ee+0033-1.879ee+0033彎矩1.327e++0041.234e++0045.598e++0031.642e++0041.653e++0045.073e++003單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.829e++0041.664e++0041.798e++0041.339e++0041.806e++0041.373e++004剪力3.631e++0033.232e++0033.967e++0031.651e++0033.990e++0031.945e++003彎矩1.621e++0031.953e++0033.708e++0032.597e++0023.975e++003-9.311ee+0022單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.766e++0041.593e++0041.725e++0041.251e++0041.265e++0041.753e++004剪力1.014e++0039.144e++0021.359e++0034.831e++0026.147e++0028.974e++002彎矩-7.523ee+0033-5.831ee+0033-4.357ee+0033-1.853ee+0033-1.729ee+0033-7.836ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.759e++0041.587e++0041.246e++0041.719e++0041.286e++0041.742e++004剪力-7.917ee+0022-6.922ee+0022-3.164ee+0022-1.137ee+0033-6.512ee+0022-6.592ee+0022彎矩-5.175ee+0033-3.740ee+0033-8.111ee+0022-1.113ee+00331.032e++002-5.818ee+0033單元號=14,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.676e++0041.512e++0041.708e++0041.288e++0041.673e++0041.225e++004剪力3.681e++0022.945e++0027.215e++002-1.679ee+00221.479e++0023.575e++002彎矩1.038e++0047.647e++0039.513e++0038.299e++0031.061e++0044.860e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.676e++0041.512e++0041.716e++0041.296e++0041.675e++0041.206e++004剪力-3.217ee+00114.146e++0014.432e++002-3.818ee+0022-2.649ee+0022-6.786ee+0011彎矩1.088e++0047.964e++0039.842e++0038.684e++0031.093e++0045.386e++003正常使用極限狀狀態(tài)荷載組組合III內力結果:單元號=1,左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.530e++0041.380e++0041.463e++0041.502e++0041.490e++0041.482e++004剪力-3.144ee+0033-2.781ee+0033-2.078ee+0033-3.449ee+0033-3.436ee+0033-2.214ee+0033彎矩1.113e++0041.028e++0046.959e++0031.400e++0041.409e++0046.481e++003單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.537e++0041.387e++0041.509e++0041.469e++0041.484e++0041.501e++004剪力3.056e++0032.693e++0033.362e++0031.990e++0033.311e++0032.258e++003彎矩1.325e++0031.628e++0033.223e++0035.320e++0023.395e++003-5.505ee+0022單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.484e++0041.327e++0041.448e++0041.379e++0041.391e++0041.473e++004剪力8.525e++0027.620e++0021.166e++0035.777e++0026.974e++0027.466e++002彎矩-6.397ee+0033-4.859ee+0033-3.519ee+0033-2.568ee+0033-2.455ee+0033-6.682ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.479e++0041.322e++0041.374e++0041.443e++0041.409e++0041.464e++004剪力-6.673ee+0022-5.768ee+0022-3.925ee+0022-9.812ee+0022-6.968ee+0022-5.468ee+0022彎矩-4.421ee+0033-3.117ee+0033-1.304ee+0033-7.286ee+0022-4.729ee+0022-5.005ee+0033單元號=14,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.410e++0041.260e++0041.408e++0041.400e++0041.406e++0041.343e++004剪力3.123e++0022.454e++0026.208e++002-1.081ee+00221.122e++0023.697e++002彎矩8.857e++0036.373e++0037.899e++0038.703e++0039.063e++0035.577e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.409e++0041.260e++0041.400e++0041.407e++0041.409e++0041.325e++004剪力-3.239ee+00113.455e++0013.880e++002-3.408ee+0022-2.439ee+0022-5.541ee+0011彎矩9.288e++0036.636e++0038.083e++0039.101e++0039.331e++0036.103e++003內力組合（二）根據(jù)前面計算得得到各分項項荷載作用用下的內力力和位移，可可按照規(guī)范范進行承載載能力極限限狀態(tài)內力力組合I-IIII、正常使使用極限狀狀態(tài)內力組組合I-IIII和正常使使用極限狀狀態(tài)位移組組合I-IIII。組合的的結果用來來進行承載載能力、應力和和變形驗算算。兩種內內力組合見見下表：表8承載能力力極限狀態(tài)態(tài)荷載組合合I內力結果:單元號=1,左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.668e++0041.253e++0049.804e++0031.604e++0041.583e++0049.991e++003剪力-4.836ee+0033-3.698ee+0033-2.199ee+0033-5.140ee+0033-5.121ee+0033-2.240ee+0033彎矩1.740e++0041.168e++0045.609e++0031.933e++0041.944e++0045.329e++003單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.713e++0041.292e++0041.649e++0041.009e++0041.582e++0041.039e++004剪力4.263e++0033.197e++0034.566e++0031.835e++0034.249e++0031.999e++003彎矩3.032e++0037.914e++0023.997e++003-7.531ee+00224.276e++003-1.337ee+0033單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.703e++0041.287e++0041.596e++0041.158e++0049.717e++0031.657e++004剪力1.102e++0039.631e++0021.304e++0036.062e++0026.909e++0021.054e++003彎矩-7.754ee+0033-5.992ee+0033-6.388ee+0033-4.494ee+0033-2.777ee+0033-8.756ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.700e++0041.284e++0041.156e++0041.593e++0049.870e++0031.636e++004剪力-9.884ee+0022-8.636ee+0022-5.248ee+0022-1.190ee+0033-8.193ee+0022-9.044ee+0022彎矩-5.028ee+0033-3.610ee+0033-3.012ee+0033-3.140ee+0033-8.544ee+0022-6.244ee+0033單元號=14,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.614e++0041.216e++0041.515e++0041.119e++0041.403e++0041.098e++004剪力3.406e++0022.916e++0025.733e++0028.490e++0001.984e++0022.936e++002彎矩9.923e++0038.966e++0039.753e++0037.935e++0031.112e++0046.010e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.614e++0041.216e++0041.460e++0041.129e++0041.533e++0041.086e++004剪力1.210e++0011.634e++0012.492e++002-2.264ee+0022-1.094ee+00221.039e++001彎矩1.033e++0049.310e++0039.927e++0038.153e++0031.147e++0046.376e++003承載能力極限狀狀態(tài)荷載組組合II內力結果:單元號=1,左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.668e++0041.232e++0049.601e++0031.604e++0041.473e++0049.788e++003剪力-4.836ee+0033-3.418ee+0033-1.920ee+0033-5.140ee+0033-4.981ee+0033-1.960ee+0033彎矩1.740e++0049.269e++0033.202e++0031.933e++0042.027e++0042.922e++003單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.713e++0041.271e++0041.649e++0049.884e++0031.500e++0041.019e++004剪力4.263e++0032.918e++0034.566e++0031.556e++0034.254e++0031.719e++003彎矩3.032e++003-7.305ee+00223.997e++003-2.275ee+00335.535e++003-2.859ee+0033單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.703e++0041.255e++0041.396e++0041.065e++0049.394e++0031.657e++004剪力1.102e++0031.040e++0031.338e++0034.565e++0027.681e++0021.054e++003彎矩-7.754ee+0033-5.807ee+0033-5.327ee+0033-4.153ee+0033-2.592ee+0033-8.756ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.700e++0041.252e++0041.063e++0041.393e++0049.547e++0031.636e++004剪力-9.884ee+0022-9.408ee+0022-3.842ee+0022-1.234ee+0033-8.965ee+0022-9.044ee+0022彎矩-5.028ee+0033-3.225ee+0033-3.049ee+0033-1.978ee+0033-4.693ee+0022-6.244ee+0033單元號=14,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.614e++0041.183e++0041.515e++0041.032e++0041.370e++0041.012e++004剪力3.406e++0022.970e++0025.733e++002-6.805ee+00002.038e++0022.579e++002彎矩9.923e++0039.938e++0039.753e++0036.134e++0031.209e++0044.347e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.614e++0041.183e++0041.460e++0041.129e++0041.337e++0041.001e++004剪力1.210e++0011.097e++0012.492e++002-2.264ee+0022-1.120ee+00221.434e++001彎矩1.033e++0041.030e++0049.927e++0038.153e++0031.245e++0044.663e++003承載能力極限狀狀態(tài)荷載組組合III內力結果:單元號=1,左節(jié)點號=1內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.559e++0041.394e++0041.136e++0041.528e++0041.515e++0041.158e++004剪力-4.717ee+0033-4.318ee+0033-2.465ee+0033-5.053ee+0033-5.038ee+0033-2.615ee+0033彎矩1.647e++0041.554e++0047.999e++0031.962e++0041.973e++0047.473e++003單元號=1,右節(jié)點號=2內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.601e++0041.436e++0041.571e++0041.168e++0041.543e++0041.203e++004剪力4.171e++0033.771e++0034.507e++0032.055e++0034.452e++0032.350e++003彎矩2.434e++0032.767e++0034.522e++0038.698e++0024.711e++003-3.209ee+0022單元號=7,左節(jié)點號=7內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.615e++0041.443e++0041.575e++0041.138e++0041.152e++0041.603e++004剪力1.082e++0039.820e++0021.427e++0035.338e++0026.654e++0029.650e++002彎矩-8.593ee+0033-6.901ee+0033-5.427ee+0033-2.656ee+0033-2.532ee+0033-8.906ee+0033單元號=7,右節(jié)點號=8內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.612e++0041.440e++0041.136e++0041.572e++0041.176e++0041.595e++004剪力-9.730ee+0022-8.735ee+0022-4.524ee+0022-1.318ee+0033-7.871ee+0022-8.405ee+0022彎矩-5.914ee+0033-4.480ee+0033-1.366ee+0033-1.853ee+0033-4.515ee+0022-6.557ee+0033單元號=14,左節(jié)點號=14內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.530e++0041.366e++0041.558e++0041.178e++0041.527e++0041.116e++004剪力3.865e++0023.129e++0027.403e++002-1.541ee+00221.664e++0023.714e++002彎矩1.152e++0048.788e++0031.068e++0049.155e++0031.175e++0045.716e++003單元號=14,右節(jié)點號=15內力性質最大軸力最小軸力最大剪力最小剪力最大彎矩最小彎矩軸力1.529e++0041.365e++0041.565e++0041.186e++0041.529e++0041.096e++004剪力-5.061ee+00112.302e++0014.242e++002-3.956ee+0022-2.833ee+0022-8.169ee+0011彎矩1.207e++0049.151e++0031.106e++0049.574e++0031.211e++0046.276e++003第三部分主拱圈截面面驗算及穩(wěn)穩(wěn)定性驗算算一、主拱圈正截面面強度驗算算根據(jù)橋規(guī)（JTTJ0222-85）的規(guī)定定，構件按按極限狀態(tài)態(tài)設計的原原則是：荷荷載效應不不利組合的的設計值小小于或等于于結構抗力力效應的設設計值。即即：(一)正截面受壓強度度驗算1.荷載組合荷載組合值見表表8。2.拱圈表面抗力主拱圈為30號號鋼筋混凝凝土,抗壓極限限強度Rja=21MMPa，安全系系數(shù)＝1.54，根據(jù)橋橋規(guī)（JTJ0022-885）第3.0..2條的規(guī)定，拱拱圈截面抗抗力效應的的設計值具體數(shù)值見表99表9拱圈抗力力效應設計計值截面e0＝Mj/Nj拱頂截面0.13023310.9292000815557857.99558110.401333680.5793550926636074.0075388-0.03833930.9934228713361857.1193444-0.40100970.5817009586636220.99405880.320200930.6841999185542602.55952220.372622770.6151666902238304.2206011l/4截面1.38E-0019.20E-00157270.44686880.298522886.99E