小箱梁-25m小箱梁边梁计算书

PAGE25m简支变连续小箱梁边梁验算报告1、设计规范与标准1.1《公路工程技术标准》(JTGB01-2003)1.2《公路桥涵设计通用规范》(JTGD60-2004)1.3《公路钢筋混凝土及预应力混凝土桥涵设计规范》(JTGD62-2004)1.4《公路交通安全设施设计规范》(JTGD81-2006)2.5《公路桥涵施工技术规范》(JTJ041-2000)2、计算资料2.1技术指标2.1.1桥面宽度:全宽26m，横向布置为0.5米防撞护栏+12米行车道+1米防撞护栏+12米行车道+0.5米防撞护栏2.1.2桥面横坡:双向横坡2%2.1.3车辆荷载等级:公路-I级2.1.4环境类别:Ⅱ类2.2计算参数2.2.1结构重要性系数:1.12.2.2相对湿度:80%2.2.3管道摩擦系数:u=0.25管道偏差系数:k=0.00152.2.4钢筋回缩和锚具变形为:一端6mm2.2.5梯度温度:正负温差按10cm沥青铺装层考虑，T1=14℃，T2=5.5℃2.2.6支座不均匀沉降5mm2.2.7计算跨径:25m2.3主要材料2.3.1混凝土:小箱梁采用C50混凝土，Ec＝34500MPa2.3.2钢绞线:低松弛高强度钢绞线应符合GB/T5224-2003或ASTMA416-2003的规定。单根钢绞线直径Φj15.24mm，钢绞线面积140mm2，fpk=1860MPa，弹性模量EP=195000MPa。2.3.3R235，HRB335钢筋应分别符合GB13013-1991和GB1499-98的规定。2.4施工阶段划分第一阶段吊装预制部分小箱梁；第二阶段浇筑1、3号墩顶湿接缝并张拉相应墩顶负弯矩钢束；第三阶段浇筑2号墩顶湿接缝并张拉相应墩顶负弯矩钢束；第四阶段完成体系转换；第五阶段浇筑桥面铺装层及护栏。2.5结构外形图3、计算方法主梁按部分预应力混凝土A类构件设计，其计算采用平面杆系有限元程序，荷载横向分布系数采用刚接板梁法计算。横向分布系数为0.818，结构自振频率为4.5Hz。共划分单元86个，节点87个。4、小箱梁验算4.1施工阶段正截面砼法向应力验算；单元位置最大/最小验算上翼缘应力(MPa)下翼缘应力(MPa)允许应力(MPa)3I[3]最大OK1.14038.996919.2783I[3]最小OK1.14038.9969-1.5775I[5]最大OK0.844912.219919.2785I[5]最小OK0.79912.1978-1.5777I[7]最大OK0.362513.196919.2787I[7]最小OK0.362513.1969-1.5779I[9]最大OK0.45213.179119.2789I[9]最小OK0.45213.1791-1.57711I[11]最大OK0.488913.147919.27811I[11]最小OK0.488913.1479-1.57713I[13]最大OK0.235913.477219.27813I[13]最小OK0.235913.4772-1.57715I[15]最大OK2.482612.413419.27815I[15]最小OK1.159311.7527-1.57717I[17]最大OK6.141911.181819.27817I[17]最小OK1.849310.3694-1.57727I[27]最大OK2.378610.726719.27827I[27]最小OK2.20088.0759-1.57729I[29]最大OK2.713710.328519.27829I[29]最小OK1.52279.4677-1.57731I[31]最大OK0.337211.663919.27831I[31]最小OK0.337211.6639-1.57733I[33]最大OK0.420611.614119.27833I[33]最小OK0.420611.6141-1.57735I[35]最大OK0.339911.660319.27835I[35]最小OK0.339911.6603-1.57737I[37]最大OK2.762710.303819.27837I[37]最小OK1.52549.4623-1.57739I[39]最大OK6.78568.437619.27839I[39]最小OK2.22858.0662-1.57749I[49]最大OK3.02219.559419.27849I[49]最小OK2.20088.0759-1.57751I[51]最大OK2.725410.309319.27851I[51]最小OK1.52279.4677-1.57753I[53]最大OK0.342811.654719.27853I[53]最小OK0.342811.6547-1.57755I[55]最大OK0.420511.614319.27855I[55]最小OK0.420511.6143-1.57757I[57]最大OK0.33411.669919.27857I[57]最小OK0.33411.6699-1.57759I[59]最大OK2.750810.323519.27859I[59]最小OK1.52549.4623-1.57761I[61]最大OK6.15899.598419.27861I[61]最小OK2.22858.0662-1.57771I[71]最大OK2.382112.283419.27871I[71]最小OK1.825310.3758-1.57773I[73]最大OK2.448412.412419.27873I[73]最小OK1.159411.7522-1.57775I[75]最大OK0.241813.466719.27875I[75]最小OK0.241813.4667-1.57777I[77]最大OK0.493713.139119.27877I[77]最小OK0.493713.1391-1.57779I[79]最大OK0.455513.17419.27879I[79]最小OK0.455513.174-1.57781I[81]最大OK0.364913.193719.27881I[81]最小OK0.364913.1937-1.57783I[83]最大OK0.844912.220619.27883I[83]最小OK0.800312.1964-1.5774.2受拉区预应力钢筋的应力验算钢束验算施工阶段预应力筋应力(MPa)使用阶段预应力筋应力(MPa)控制张拉应力(MPa)使用阶段容许应力(MPa)边1-1OK1257.19451192.32313951209边1-2OK1249.35961188.03713951209边1-3OK1241.67541183.89513951209边1-4OK1259.15161180.47213951209边2-1OK1257.17471192.30113951209边2-2OK1249.29631188.01713951209边2-3OK1241.73371183.97313951209边2-4OK1259.07751180.313951209负1-1OK1227.83171146.58513951209负1-2NG1311.11391212.60413951209负2-1OK1227.83171145.32913951209负2-2NG1311.11391211.34913951209负3-1OK1227.83171146.71613951209负3-2NG1311.11391212.73613951209中1-1OK1261.36631198.28213951209中1-2OK1253.43871193.21613951209中1-3OK1245.96641188.62513951209中1-4OK1257.3561180.43113951209中2-1OK1261.36631198.28913951209中2-2OK1253.43871193.22413951209中2-3OK1245.96641188.63413951209中2-4OK1257.35591180.44139512094.3持久状况正常使用极限状态正截面A类预应力构件抗裂验算；单元位置短/长验算上翼缘应力(MPa)下翼缘应力(MPa)允许应力(MPa)3I[3]长期OK1.13828.296103I[3]短期OK0.03798.0844-1.8555I[5]长期OK1.97129.220805I[5]短期OK0.7319.3101-1.8557I[7]长期OK2.31198.903707I[7]短期OK0.89119.3146-1.8559I[9]短期OK1.20718.9703-1.8559I[9]长期OK2.80588.2422011I[11]长期OK2.92528.0841011I[11]短期OK1.14889.1305-1.85513I[13]长期OK2.45258.7577013I[13]短期OK0.500710.1192-1.85515I[15]长期OK3.97488.6786015I[15]短期OK1.849910.365-1.85517I[17]短期OK4.52110.4581-1.85517I[17]长期OK6.83118.4025027I[27]长期OK3.43337.9272027I[27]短期OK1.115410.0011-1.85529I[29]长期OK3.77747.4872029I[29]短期OK1.66689.1654-1.85531I[31]长期OK2.09077.8512031I[31]短期OK0.12849.2458-1.85533I[33]短期OK0.4538.787-1.85533I[33]长期OK2.36967.476035I[35]长期OK2.09517.8452035I[35]短期OK0.14039.2253-1.85537I[37]长期OK3.80987.4901037I[37]短期OK1.7299.1098-1.85539I[39]短期OK11.27973.1622-1.85539I[39]长期OK7.64145.4854049I[49]长期OK3.40667.9806049I[49]短期OK1.15169.937-1.85551I[51]长期OK3.76917.5052051I[51]短期OK1.68789.1288-1.85553I[53]长期OK2.09527.8446053I[53]短期OK0.13979.2261-1.85555I[55]短期OK0.45358.7863-1.85555I[55]长期OK2.37017.4753057I[57]长期OK2.09157.8503057I[57]短期OK0.12999.2435-1.85559I[59]长期OK3.8197.4704059I[59]短期OK1.70899.1449-1.85561I[61]长期OK7.69925.3734061I[61]短期OK11.43632.8625-1.85571I[71]短期OK1.078411.4828-1.85571I[71]长期OK3.3999.4202073I[73]长期OK3.93728.6877073I[73]短期OK1.811710.3777-1.85575I[75]长期OK2.45328.7562075I[75]短期OK0.500610.1191-1.85577I[77]长期OK2.92588.0825077I[77]短期OK1.14939.129-1.85579I[79]短期OK1.20758.9702-1.85579I[79]长期OK2.8068.2424081I[81]长期OK2.3128.9041081I[81]短期OK0.89279.3124-1.85583I[83]长期OK1.97139.2212083I[83]短期OK0.73329.3065-1.8554.4、使用阶段斜截面抗裂验算单元位置验算最大主拉应力(MPa)允许应力(MPa)3I[3]OK-0.1769-1.8555I[5]OK-0.2283-1.8557I[7]OK-0.1568-1.8559I[9]OK-0.1048-1.85511I[11]OK-0.0489-1.85513I[13]OK-0.1189-1.85515I[15]OK-0.1116-1.85517I[17]OK-0.1713-1.85527I[27]OK-0.2314-1.85529I[29]OK-0.1005-1.85531I[31]OK-0.2535-1.85533I[33]OK-0.0451-1.85535I[35]OK-0.2433-1.85537I[37]OK-0.1143-1.85539I[39]OK-0.1891-1.85549I[49]OK-0.2524-1.85551I[51]OK-0.1152-1.85553I[53]OK-0.2423-1.85555I[55]OK-0.0451-1.85557I[57]OK-0.2536-1.85559I[59]OK-0.0996-1.85561I[61]OK-0.1731-1.85571I[71]OK-0.2524-1.85573I[73]OK-0.1118-1.85575I[75]OK-0.119-1.85577I[77]OK-0.0488-1.85579I[79]OK-0.1048-1.85581I[81]OK-0.1565-1.85583I[83]OK-0.2281-1.8554.5、使用阶段正截面砼压应力验算单元位置验算上翼缘压应力(MPa)下翼缘压应力(MPa)允许压应力(MPa)3I[3]OK3.70339.119216.25I[5]OK4.55329.93216.27I[7]OK4.86719.658316.29I[9]OK9.52241.570516.211I[11]OK9.94080.876116.213I[13]OK-0.23910.908916.215I[15]OK1.018411.328116.217I[17]OK12.53733.390116.227I[27]OK0.057111.396516.229I[29]OK0.734510.318916.231I[31]OK-0.720310.23716.233I[33]OK9.34670.279616.235I[35]OK-0.647610.107216.237I[37]OK10.12381.423216.239I[39]OK12.50212.002616.249I[49]OK0.221311.097116.251I[51]OK10.08451.429216.253I[53]OK-0.648410.108316.255I[55]OK9.34720.278816.257I[57]OK-0.718610.234416.259I[59]OK0.776710.297416.261I[61]OK12.66391.692216.271I[71]OK0.120812.685816.273I[73]OK0.980211.341816.275I[75]OK-0.239310.909216.277I[77]OK9.94140.874416.279I[79]OK9.52221.571416.281I[81]OK4.86389.665116.283I[83]OK4.54799.942616.24.6、使用阶段斜截面主压应力验算:单元位置验算最大主压应力(MPa)允许应力(MPa)3I[3]OK9.051519.445I[5]OK9.92419.447I[7]OK9.617719.449I[9]OK9.569419.4411I[11]OK10.103819.4413I[13]OK10.935519.4415I[15]OK11.325919.4417I[17]OK13.248119.4427I[27]OK11.391519.4429I[29]OK10.32319.4431I[31]OK10.290419.4433I[33]OK9.776419.4435I[35]OK10.161319.4437I[37]OK10.178319.4439I[39]OK13.331419.4449I[49]OK11.093219.4451I[51]OK10.133719.4453I[53]OK10.16219.4455I[55]OK9.776919.4457I[57]OK10.288219.4459I[59]OK10.304619.4461I[61]OK13.492919.4471I[71]OK12.669619.4473I[73]OK11.336619.4475I[75]OK10.935219.4477I[77]OK10.102319.4479I[79]OK9.56819.4481I[81]OK9.624519.4483I[83]OK9.93419.444.7、使用阶段正截面抗弯验算单元位置最大/最小类型验算结构外力弯矩值(kN·m)结构抗弯承载能力

(kN·m)3I[3]最大MY-MAXOK277.17065490.56123I[3]最小MY-MINOK-4.70985796.67605I[5]最大MY-MAXOK3855.39957233.64395I[5]最小MY-MINOK1528.48897233.64397I[7]最大MY-MAXOK6290.87068076.25517I[7]最小MY-MINOK2426.99558076.25519I[9]最大MY-MAXOK7623.88848315.90409I[9]最小MY-MINOK2814.34178315.904011I[11]最大MY-MAXOK7889.70198317.604511I[11]最小MY-MINOK2690.52778317.604513I[13]最大MY-MAXOK7151.52598241.388613I[13]最小MY-MINOK20__.77518241.388615I[15]最大MY-MAXOK5479.07327717.036015I[15]最小MY-MINOK941.56807717.036017I[17]最大MY-MAXOK3080.78986716.326517I[17]最小MY-MINOK-816.07216898.449427I[27]最大MY-MAXOK2956.44275796.582027I[27]最小MY-MINOK-1244.26335449.802629I[29]最大MY-MAXOK5083.40366832.425429I[29]最小MY-MINOK429.04896832.425431I[31]最大MY-MAXOK6502.98167355.348931I[31]最小MY-MINOK1386.04007355.348933I[33]最大MY-MAXOK6986.35487431.370933I[33]最小MY-MINOK1808.23257431.370935I[35]最大MY-MAXOK6492.56927355.155035I[35]最小MY-MINOK1489.12467355.155037I[37]最大MY-MAXOK5059.06776830.802437I[37]最小MY-MINOK595.43366830.802439I[39]最大MY-MAXOK2819.94237380.559639I[39]最小MY-MINOK-904.39277347.033149I[49]最大MY-MAXOK2820.04215796.582049I[49]最小MY-MINOK-904.28145447.783551I[51]最大MY-MAXOK5059.28646832.425451I[51]最小MY-MINOK595.59696832.425453I[53]最大MY-MAXOK6492.88047355.348953I[53]最小MY-MINOK1489.36527355.348955I[55]最大MY-MAXOK6986.75747431.370955I[55]最小MY-MINOK1808.55397431.370957I[57]最大MY-MAXOK6503.47627355.155057I[57]最小MY-MINOK1386.43817355.155059I[59]最大MY-MAXOK5083.99046830.802459I[59]最小MY-MINOK429.52416830.802461I[61]最大MY-MAXOK2956.98517378.548961I[61]最小MY-MINOK-1243.57317349.545871I[71]最大MY-MAXOK3081.33676681.882671I[71]最小MY-MINOK-815.39146012.662573I[73]最大MY-MAXOK5479.66087717.036073I[73]最小MY-MINOK942.03147717.036075I[75]最大MY-MAXOK7152.01918241.388675I[75]最小MY-MINOK20__.16478241.388677I[77]最大MY-MAXOK7890.09838317.604577I[77]最小MY-MINOK2690.84108317.604579I[79]最大MY-MAXOK7624.18768315.904079I[79]最小MY-MINOK2814.57828315.904081I[81]最大MY-MAXOK6291.07258076.255181I[81]最小MY-MINOK2427.15508076.255183I[83]最大MY-MAXOK3855.50377233.643983I[83]最小MY-MINOK1528.57147233.64394.8、使用阶段斜截面抗剪验算单元位置最大/最小类型验算结构荷载剪力(kN)结构抗剪承载力(kN)截面验算剪力验算3I[3]最大FX-MAXOK-556.92807.2OK跳过3I[3]最小FX-MINOK-1476.52807.2OK验算5I[5]最大FZ-MAXOK-336.51813.8OK跳过5I[5]最小FZ-MINOK-1145.31813.8OK验算7I[7]最大FZ-MAXOK-79.61820.5OK跳过7I[7]最小FZ-MINOK-828.31820.5OK验算9I[9]最大FZ-MAXOK181.61733.7OK跳过9I[9]最小FZ-MINOK-521.51733.7OK验算11I[11]最大FZ-MAXOK467.71725.7OK跳过11I[11]最小FZ-MINOK-248.01725.7OK跳过13I[13]最大FZ-MAXOK763.21778.3OK验算13I[13]最小FZ-MINOK-1.41778.3OK跳过15I[15]最大FZ-MAXOK1057.51846.1OK验算15I[15]最小FZ-MINOK232.81846.1OK跳过17I[17]最大FZ-MAXOK1348.41725.7NG验算17I[17]最小FZ-MINOK453.81725.7OK验算27I[27]最大FZ-MAXOK-385.91666.7OK跳过27I[27]最小FZ-MINOK-1261.31666.7OK验算29I[29]最大FZ-MAXOK-149.51805.1OK跳过29I[29]最小FZ-MINOK-959.51805.1OK验算31I[31]最大FZ-MAXOK99.41747.7OK跳过31I[31]最小FZ-MINOK-657.41747.7OK验算33I[33]最大FZ-MAXOK358.01696.8OK跳过33I[33]最小FZ-MINOK-358.71696.8OK跳过35I[35]最大FZ-MAXOK650.01748.0OK验算35I[35]最小FZ-MINOK-94.11748.0OK跳过37I[37]最大FZ-MAXOK951.71805.5OK验算37I[37]最小FZ-MINOK153.41805.5OK跳过39I[39]最大FZ-MAXOK1252.31666.3OK验算39I[39]最小FZ-MINOK380.91666.3OK跳过49I[49]最大FZ-MAXOK-380.91666.7OK跳过49I[49]最小FZ-MINOK-1252.31666.