25m簡支小箱梁計(jì)算書

五、模型建立與分析本橋整體模型采用空間有限元程序MIDASCIVIL2012計(jì)算，并以《公路橋涵設(shè)計(jì)通用規(guī)范》（JTGD60-2004）和《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）為標(biāo)準(zhǔn)，按A類預(yù)應(yīng)力混凝土結(jié)構(gòu)進(jìn)行驗(yàn)算。主橋采用梁格法建立模型進(jìn)行分析。采用梁單元建模時(shí)，對于簡支小箱梁、端橫梁以及中橫梁采用梁單元進(jìn)行模擬，其截面特性按照實(shí)際設(shè)計(jì)截面定義。采用虛擬橫梁模擬小箱梁之間的橫向聯(lián)系，其截面特性取頂板厚度及虛擬橫梁之間的寬度進(jìn)行定義，不考慮虛擬橫梁的自重。梁單元整體模型如下圖所示：5.SEQ圖表\*ARABIC1計(jì)算模型圖在Midas模型中按照實(shí)際的施工順序模擬施工。在施工過程中，結(jié)構(gòu)的安裝與拆除、荷載的加載與卸載、邊界條件的改變等均通過相應(yīng)組的激活與鈍化實(shí)現(xiàn)。六、持久狀況承載能力極限狀態(tài)驗(yàn)算結(jié)果6.1截面受壓區(qū)高度表SEQ表格\*ARABIC6.1截面受壓區(qū)高度相對界限受壓區(qū)高度ξb鋼筋種類C50及以下C55/C60C65/C70C75/C80R2350.620.600.58-HRB3350.560.540.52-HRB400/KL4000.530.510.49-鋼絞線、鋼絲0.400.380.360.35精軋螺紋鋼筋0.400.380.36-6.2正截面抗彎承載能力驗(yàn)算圖6.1正截面抗彎承載能力驗(yàn)算結(jié)果圖形結(jié)論：按照《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第5.1.5條EQγos≤R驗(yàn)算，結(jié)構(gòu)重要性系數(shù)x作用效應(yīng)的組合設(shè)計(jì)最大值均小于等于構(gòu)件承載力設(shè)計(jì)值，滿足規(guī)范要求。6.3支反力計(jì)算表6.2支反力計(jì)算結(jié)果表格節(jié)點(diǎn)FX(kN)FY(kN)FZ(kN)MX(kN·m)MY(kN·m)MZ(kN·m)226-11.0105.9651041.9430.0000.0000.00022711.1056.001986.2540.0000.0000.000228-11.1074.7361214.8240.0000.0000.00022911.2334.5421249.5980.0000.0000.000230-11.1583.2751431.0510.0000.0000.00023111.2403.0301445.7450.0000.0000.000232-11.1821.7441558.9910.0000.0000.00023311.2211.4821559.9950.0000.0000.000234-11.202-0.3341347.5020.0000.0000.00023511.199-0.4261324.4700.0000.0000.000236-11.223-1.4821042.4180.0000.0000.00023711.180-1.7441007.0970.0000.0000.000238-11.220-3.035949.3000.0000.0000.00023911.156-3.274933.8020.0000.0000.000240-11.236-4.543999.0300.0000.0000.00024111.105-4.734985.6630.0000.0000.000242-11.108-6.0021065.0770.0000.0000.00024311.006-5.9621125.9140.0000.0000.000七、持久狀況正常使用極限狀態(tài)驗(yàn)算結(jié)果7.1結(jié)構(gòu)正截面抗裂驗(yàn)算對于部分預(yù)應(yīng)力A類構(gòu)件，在作用（荷載）短期效應(yīng)組合下，應(yīng)符合下列條件：EQσst－σpc≤0.7ftk但在荷載長期效應(yīng)組合下：EQσlt－σpc≤0圖7.1結(jié)構(gòu)正截面抗裂驗(yàn)算短期效應(yīng)組合結(jié)果圖形圖7.2結(jié)構(gòu)正截面抗裂驗(yàn)算長期效應(yīng)組合結(jié)果圖形結(jié)論：按照《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第6.3.1-1條驗(yàn)算:短期效應(yīng)組合EQσst－σpc=1.94MPa≤0.7ftk=0.00MPa，滿足規(guī)范要求。長期效應(yīng)組合EQσst－σpc=1.94MPa≤0.7ftk=0.00MPa，滿足規(guī)范要求。7.2結(jié)構(gòu)斜截面抗裂驗(yàn)算對于A類和B類部分預(yù)應(yīng)力混凝土構(gòu)件，在作用（荷載）短期效應(yīng)組合下，應(yīng)符合下列條件：預(yù)制構(gòu)件：EQσtp≤0.7ftk現(xiàn)場澆筑（包括預(yù)制拼裝）構(gòu)件：EQσtp≤0.5ftk圖7.3結(jié)構(gòu)斜截面抗裂驗(yàn)算結(jié)果圖形結(jié)論：按照《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第6.3.1-2條驗(yàn)算:EQσtp=-0.26MPa≤0.7ftk=-1.86MPa，滿足規(guī)范要求。八、持久狀況構(gòu)件應(yīng)力驗(yàn)算結(jié)果8.1正截面混凝土法向壓應(yīng)力驗(yàn)算按《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第7.1.5-1條，荷載取其標(biāo)準(zhǔn)值，汽車荷載考慮沖擊系數(shù)。受壓區(qū)混凝土的最大壓應(yīng)力：未開裂構(gòu)件：EQσkc＋σpt≤0.5fck允許開裂構(gòu)件：EQσcc≤0.5fck圖8.1正截面混凝土法向壓應(yīng)力驗(yàn)算結(jié)果圖形結(jié)論：按照《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第7.1.5條驗(yàn)算:EQσkc＋σpt=10.80MPa≤0.5fck=16.20MPa，滿足規(guī)范要求。8.2斜截面混凝土的主壓應(yīng)力驗(yàn)算按《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第7.1.6條，混凝土的主壓應(yīng)力應(yīng)符合下式規(guī)定：EQσcp≤0.6fck圖8.2斜截面混凝土的主壓應(yīng)力驗(yàn)算結(jié)果圖形結(jié)論：按照《公路鋼筋混凝土及預(yù)應(yīng)力混凝土橋涵設(shè)計(jì)規(guī)范》（JTGD62-2004）第7.1.6條驗(yàn)算：EQσcp=10.80MPa≤0.6fck=19.44MPa，滿足規(guī)范要求。九、詳細(xì)計(jì)算表格說明：表格中軸力和剪力單位kN，彎矩和扭矩單位kN·m，應(yīng)力單位MPa。表9.1正截面抗彎承載能力驗(yàn)算詳細(xì)計(jì)算表格單元位置最大/最小組合名稱類型驗(yàn)算rMuMn2I最大cLCB15MY-MAXOK76.184799.932I最小cLCB34MY-MINOK-6.282694.642J最大cLCB15MY-MAXOK1651.876170.482J最小cLCB34MY-MINOK1253.716170.483I最大cLCB15MY-MAXOK1651.876170.483I最小cLCB34MY-MINOK1253.726170.483J最大cLCB15MY-MAXOK2474.976587.213J最小cLCB34MY-MINOK1865.156587.214I最大cLCB15MY-MAXOK2534.166587.214I最小cLCB34MY-MINOK1863.246587.214J最大cLCB16MY-MAXOK5747.778130.694J最小cLCB33MY-MINOK4178.198130.695I最大cLCB16MY-MAXOK5826.268130.695I最小cLCB23-OK4182.588130.695J最大cLCB16MY-MAXOK7041.188233.815J最小cLCB23-OK4998.948233.816I最大cLCB16MY-MAXOK7068.118233.816I最小cLCB23-OK4993.148233.816J最大cLCB16MY-MAXOK6073.128133.266J最小cLCB23-OK4283.858133.267I最大cLCB16MY-MAXOK6023.608133.267I最小cLCB23-OK4275.488133.267J最大cLCB16MY-MAXOK2755.116597.647J最小cLCB33MY-MINOK1927.036597.648I最大cLCB16MY-MAXOK2658.816597.648I最小cLCB29MY-MINOK1935.526597.648J最大cLCB15MY-MAXOK1805.706182.068J最小cLCB30MY-MINOK1306.776182.069I最大cLCB15MY-MAXOK1805.706182.069I最小cLCB30MY-MINOK1306.776182.069J最大cLCB15MY-MAXOK95.614799.319J最小cLCB34MY-MINOK19.454799.3126I最大cLCB15MY-MAXOK99.784764.8826I最小cLCB34MY-MINOK-58.902694.3026J最大cLCB15MY-MAXOK1812.706134.8626J最小cLCB34MY-MINOK1219.556134.8627I最大cLCB15MY-MAXOK1812.706134.8627I最小cLCB34MY-MINOK1219.556134.8627J最大cLCB15MY-MAXOK2745.496551.5927J最小cLCB34MY-MINOK1810.436551.5928I最大cLCB15MY-MAXOK2766.656551.5928I最小cLCB24-OK1770.886551.5928J最大cLCB15MY-MAXOK6167.308095.0728J最小cLCB24-OK4072.528095.0729I最大cLCB15MY-MAXOK6212.948095.0729I最小cLCB24-OK4045.498095.0729J最大cLCB15MY-MAXOK7312.318198.1929J最小cLCB24-OK4821.668198.1930I最大cLCB15MY-MAXOK7400.248198.1930I最小cLCB24-OK4829.148198.1930J最大cLCB15MY-MAXOK6244.328097.6430J最小cLCB24-OK4077.438097.6431I最大cLCB15MY-MAXOK6351.208097.6431I最小cLCB24-OK4113.408097.6431J最大cLCB15MY-MAXOK2865.566562.0231J最小cLCB24-OK1811.796562.0232I最大cLCB15MY-MAXOK2908.346562.0232I最小cLCB34MY-MINOK1835.076562.0232J最大cLCB15MY-MAXOK1976.716146.4432J最小cLCB34MY-MINOK1237.886146.4433I最大cLCB15MY-MAXOK1976.716146.4433I最小cLCB34MY-MINOK1237.886146.4433J最大cLCB11MY-MAXOK147.944764.4133J最小cLCB34MY-MINOK18.644764.41表9.2結(jié)構(gòu)正截面抗裂驗(yàn)算詳細(xì)計(jì)算表格單元位置組合名稱短/長類型驗(yàn)算Sig_TSig_BSig_MAXSig_ALW2IcLCB54短期MY-MINOK0.899.110.85-1.862JcLCB54短期MX-MAXOK1.949.441.34-1.862IcLCB62長期MY-MINOK1.849.341.790.002JcLCB62長期MX-MAXOK2.879.692.310.003IcLCB54短期FX-MINOK1.989.391.35-1.863JcLCB54短期FX-MINOK2.428.661.40-1.863IcLCB62長期FX-MINOK2.889.652.300.003JcLCB62長期FX-MINOK3.318.932.370.004IcLCB50短期MZ-MAXOK2.488.572.12-1.864JcLCB50短期FY-MINOK3.956.253.83-1.864IcLCB61長期MZ-MAXOK3.328.883.080.004JcLCB61長期FY-MINOK4.846.504.720.005IcLCB54短期FX-MAXOK4.016.253.89-1.865JcLCB56短期MY-MAXOK6.163.173.15-1.865IcLCB62長期FX-MAXOK4.906.494.800.005JcLCB62長期MY-MAXOK6.683.943.920.006IcLCB56短期MY-MAXOK6.183.153.15-1.866JcLCB54短期FX-MAXOK4.215.964.07-1.866IcLCB62長期MY-MAXOK6.693.933.930.006JcLCB62長期FX-MAXOK5.106.214.960.007IcLCB58短期FX-MINOK4.145.964.09-1.867JcLCB54短期MY-MINOK2.458.562.13-1.867IcLCB63長期FX-MINOK5.036.214.980.007JcLCB62長期MY-MINOK3.348.803.050.008IcLCB54短期MX-MINOK2.408.531.39-1.868JcLCB54短期MX-MINOK1.949.281.32-1.868IcLCB62長期MX-MINOK3.308.792.290.008JcLCB62長期MX-MINOK2.859.532.230.009IcLCB54短期MX-MINOK1.939.291.31-1.869JcLCB54短期MX-MINOK0.849.000.78-1.869IcLCB62長期MX-MINOK2.869.552.240.009JcLCB62長期MX-MINOK1.789.261.720.0026IcLCB54短期MY-MINOK1.159.071.07-1.8626JcLCB54短期MX-MAXOK2.289.401.97-1.8626IcLCB62長期MY-MINOK2.059.291.960.0026JcLCB62長期MX-MAXOK3.149.662.860.0027IcLCB54短期MX-MAXOK2.299.391.98-1.8627JcLCB54短期MX-MAXOK2.718.742.16-1.8627IcLCB62長期MX-MAXOK3.129.642.850.0027JcLCB62長期MX-MAXOK3.548.993.050.0028IcLCB54短期MX-MAXOK2.558.772.34-1.8628JcLCB50短期MY-MINOK4.236.344.21-1.8628IcLCB62長期MX-MAXOK3.419.013.230.0028JcLCB61長期MY-MINOK5.096.575.080.0029IcLCB54短期MY-MINOK4.136.404.02-1.8629JcLCB56短期MY-MAXOK6.662.792.74-1.8629IcLCB62長期MY-MINOK5.016.624.910.0029JcLCB62長期MY-MAXOK7.013.813.780.0030IcLCB56短期MY-MAXOK6.742.672.64-1.8630JcLCB54短期MY-MINOK4.206.334.08-1.8630IcLCB62長期MY-MAXOK7.063.743.720.0030JcLCB62長期MY-MINOK5.076.554.970.0031IcLCB58短期FY-MAXOK4.326.254.30-1.8631JcLCB54短期MY-MINOK2.608.742.46-1.8631IcLCB63長期FY-MAXOK5.186.495.160.0031JcLCB62長期MY-MINOK3.468.973.360.0032IcLCB54短期MX-MINOK2.698.682.16-1.8632JcLCB54短期MY-MINOK2.269.351.97-1.8632IcLCB62長期MX-MINOK3.528.933.080.0032JcLCB62長期MY-MINOK3.109.602.860.0033IcLCB54短期MY-MINOK2.259.361.95-1.8633JcLCB54短期MY-MINOK1.178.911.07-1.8633IcLCB62長期MY-MINOK3.119.622.860.0033JcLCB62長期MY-MINOK2.049.181.940.00表9.3結(jié)構(gòu)斜截面抗裂驗(yàn)算詳細(xì)計(jì)算表格單元位置組合名稱最大/最小Sig_P2Sig_P3Sig_P7Sig_P10Sig_MAXSig_AP2IcLCB87OK4.0810.063.7210.0110.1019.442JcLCB87OK5.6510.604.0110.5510.6019.443IcLCB87OK5.6010.544.0110.5410.5419.443JcLCB87OK6.469.993.769.989.9919.444IcLCB87OK5.509.644.169.639.6419.444JcLCB89OK8.205.734.225.738.2019.445IcLCB89OK8.475.694.225.698.4719.445JcLCB89OK9.933.314.283.319.9319.446IcLCB89OK9.883.224.333.229.8819.446JcLCB89OK8.845.224.195.228.8419.447IcLCB89OK8.335.104.335.108.5419.447JcLCB87OK5.809.593.999.589.5919.448IcLCB87OK6.669.953.549.959.9519.448JcLCB87OK5.7910.503.8110.5010.5019.449IcLCB87OK5.8610.563.8210.6010.6019.449JcLCB87OK4.049.933.639.9610.0119.4426IcLCB87OK4.0110.113.9110.0610.1919.4426JcLCB87OK5.7110.534.2310.4810.5319.4427IcLCB87OK5.6510.484.2110.4710.4819.4427JcLCB87OK6.369.943.999.949.9419.4428IcLCB87OK5.629.724.309.719.7219.4428JcLCB89OK9.164.734.324.739.1619.4429IcLCB89OK9.224.594.204.599.2219.4429JcLCB89OK10.702.464.282.4610.7019.4430IcLCB89OK10.802.264.292.2710.8019.4430JcLCB89OK9.274.544.234.549.2719.4431IcLCB89OK9.424.354.304.359.4219.4431JcLCB87OK5.689.664.299.659.6619.4432IcLCB87OK6.189.893.959.899.8919.4432JcLCB87OK5.5010.454.1410.4410.4519.4433IcLCB87OK5.5810.514.1810.5510.5519.4433JcLCB87OK4.059.893.819.9310.0119.44表9.4正截面混凝土法向壓應(yīng)力驗(yàn)算詳細(xì)計(jì)算表格單元位置組合名稱類型驗(yàn)算Sig_TSig_BSig_MAXSig_ALW2IcLCB87MX-MINOK4.1410.0810.1016.202JcLCB87MY-MINOK5.1910.3910.6016.203IcLCB87MY-MINOK5.1210.3310.5416.203JcLCB87MX-MAXOK5.579.609.9916.204IcLCB87MY-MINOK5.489.639.6416.204JcLCB89MY-MAXOK8.095.688.2016.205IcLCB89MZ-MAXOK8.255.598.4716.205JcLCB89MY-MAXOK9.843.269.9316.206IcLCB89MY-MAXOK9.873.219.8816.206JcLCB89MY-MAXOK8.585.118.8416.207IcLCB89MY-MAXOK8.435.148.5416.207JcLCB87MY-MINOK5.549.489.5916.208IcLCB87MX-MINOK5.559.469.9516.208JcLCB87MX-MINOK5.1010.2010.5016.209IcLCB87MX-MINOK5.1710.2610.5616.209JcLCB87MY-MINOK4.099.959.9716.2026IcLCB87MX-MINOK4.1110.1510.1916.2026JcLCB87MX-MAXOK5.3010.3610.5316.2027IcLCB87MX-MAXOK5.2310.3010.4816.2027JcLCB87MX-MAXOK5.659.659.9416.2028IcLCB87MY-MINOK5.539.689.7216.2028JcLCB89MY-MAXOK8.964.659.1616.2029IcLCB89MY-MAXOK8.994.509.2216.2029JcLCB89MY-MAXOK10.542.3910.7016.2030IcLCB89MY-MAXOK10.662.2010.8016.2030JcLCB89MY-MAXOK9.064.459.2716.2031IcLCB89MY-MAXOK9.224.259.4216.2031JcLCB87MY-MINOK5.609.639.6616.2032IcLCB87MY-MINOK5.589.649.8916.2032JcLCB87MY-MINOK5.1610.3010.4516.2033IcLCB87MY-MINOK5.2310.3710.5116.2033JcLCB87MX-MINOK4.159.939.9716.20表9.5斜截面混凝土的主壓應(yīng)力驗(yàn)算詳細(xì)計(jì)算表格單元位置組合名稱最大/最小Sig_P2Sig_P3Sig_P7Sig_P10Sig_MAXSig_AP2IcLCB87OK4.0810.063.7210.0110.1019.442JcLCB87OK5.6510.604.0110.5510.6019.443IcLCB87OK5.6010.544.0110.5410.5419.443J