预应力混凝土梁拱组合桥 毕业设计计算书

'湖南科技大学桥梁工程毕业设计（论文）摘要本设计为如海河桥主桥上部结构,本桥主跨度是33m+55m+33m，主梁截面为单箱三室，拱肋为钢管混凝土结构，吊杆为柔性吊杆。悬臂桥施工方法用平衡悬臂施工，拱肋钢管采用分段吊装方式施工。设计荷载为公路-Ⅰ级，设计抗震烈度7度。主桥上部结构计算按施工阶段采用“桥梁博士V3.0”进行计算，结合工程实际情况，施工计算共分了39个受力阶段。设计中主桥按先边跨合拢，然后中跨合拢的顺序考虑，合拢温度严格控制在15~16℃。拟定主梁纵、横断面尺寸；采用桥梁博士结构设计程序计算施工阶段和成桥后的主梁各控制截面的恒载内力、活载内力、温度内力及基础沉降引起的内力，分别按承载能力极限状态和正常使用极限状态进行荷载效应组合；估算预应力钢束数量并确定束数；布置钢束位置；对各控制截面进行强度、应力验算，各项验算均满足《公路钢筋混凝土及预应力混凝土桥涵设计规范》要求。关键词：预应力混凝土梁拱组合桥；悬臂浇注施工；分段吊装施工；吊杆；作用效应组合；桥梁博士； AbstractThedesignisfortheRu-Hai-Hebridgetopsidestructurethespanofwhichis33m+55m+33m.andthesectionissingleboxgirdercross-sectionofthreerooms,ribofsteelconcretestructure,flexibleboom.ThecantileverbridgeusethemethodofBalancedCantileverconstruction,Archsteelconstructionwithsub-liftingmeans.Asaresultofthedesignloadforone,weusesevenforsecurity.Calculationofthemainbridgestructureusedbytheconstructionphase,"Dr.BridgesV3.0"calculated,combinedwiththeactualsituationintheproject,constructionofthecalculationisdividedinto39bythepowerstage.Thedesignofthebridgebythefirstsideofthemaincross-fold,aftertheliftingoftheinterimanchor,thelastinordertoconsidercross-fold,closeuptostrictlycontrolthetemperatureinthe15~16℃.Thedevelopmentofthemainlongitudinalbeams,cross-sectionalsize;theuseofthestructuraldesignofthebridge,Dr.calculatedintotheconstructionphaseandafterthebridgegirdercross-sectionofthecontrolofinternalforcesofthedeadload,liveloadinternalforces,temperature,andthebasisforthesettlementofinternalforcescausedbyinternalforces,respectively,accordingtocarryingcapacitylimitstateandserviceabilitylimitstateloadcombinationeffects;toestimatethenumberofpre-stressedbeamofsteelandtodeterminethenumberofbeam;layoutsteelbeamposition;cross-sectionofthecontrolstrength,stresscheck,thecheckaretomeetthe"HighwayofreinforcedconcreteandprestressedConcreteBridgeDesignCode"requirements.Keywords:Prestressedconcretebeamarchcombinationbridge;cantileverconstructionpouring;BreakErection;Tensioning;portfolioeffect;BridgeDr.Q765978417 目录第一章前言1第二章概述22.1设计依据及标准22.1.1设计标准22.1.2主要材料32.1.3桥面铺装42.1.4施工方式42.2桥型及纵、横断面设计42.2.1桥型布置及孔径划分42.2.2截面型式及截面尺寸拟定42.3毛截面几何特性6第三章内力计算73.1恒载内力的计算73.1.1施工方案施工顺序的确定73.1.2单元划分73.1.3恒载集度计算93.1.4恒载内力计算93.2内力影响线计算153.3活载内力计算213.4温度次内力计算353.5支座沉降次内力的计算413.6内力组合45第四章预应力钢束估算与布置以及吊杆张拉力的确定544.1钢束估算原理544.1.1按正常使用极限状态的应力要求计算544.1.2按承载能力极限状态的强度要求计算564.2钢束估算574.3钢束布置614.3.1配筋数目的确定61-iii- 4.3.2布置原则614.3.3钢束布置624.4刚性吊杆法来确定吊杆张拉力63第五章预应力损失及有效预应力计算645.1预应力损失种类及相应的计算方法645.2钢筋的有效预应力计算原理675.3钢束预应力损失及有效预应力计算675.3.1钢束张拉（锚下）控制应力（）675.3.2钢束应力损失67第六章配束后主梁内力计算及内力组合716.1施工阶段主梁内力计算716.2温度及基础沉降次内力计算846.3混凝土收缩、徐变次内力计算906.4内力组合93第七章截面强度验算997.1截面强度计算原理997.2强度验算100第八章应力、变形及其他验算1028.1预加应力阶段各截面混凝土法向应力计算1028.2正常使用阶段混凝土法向应力及主应力计算与验算1048.2.1计算方法1048.2.2计算结果1048.2.3应力验算1128.3正常使用阶段钢束应力计算与验算1138.3.1计算方法1138.3.2计算公式1138.4变形计算与验算1148.4.1变形验算116第九章锚下局部承压承载力计算1189.1剪切理论1189.2局部承压构件的承载力118-iii- 参考文献121致谢122-iii- 第一章前言我国自50年代中期开始修建预应力梁拱组合桥，至今已有40多年的历史，比欧洲起步晚，但近对年来发展迅速，在预应力混凝土梁拱组合桥的设计、结构分析、试验研究、预应力材料及工艺设备、施工工艺等方面日新月异，预应力混凝土梁拱组合桥的设计技术与施工技术都已达到相当高的水平。本设计采用Dr.Bridge系统进行初步设计。Dr.Bridge系统是一个集可视化数据处理、数据库管理、结构分析、打印与帮助为一体的综合性桥梁结构设计与施工计算系统。系统的编制完全按照桥梁设计与施工过程进行，密切结合桥梁设计规范，充分利用现代计算机技术，符合设计人员的习惯。对结构的计算充分考虑了各种结构的复杂组成与施工情况。计算更精确；同时在数据输入的容错性方面作了大量的工作，提高了用户的工作效率。本设计题目为如海河大桥上部结构设计，要求完成必要的毕业论文及总体布置图，主梁一般构造图，纵向预应力配筋图（含布置图与大样图），断面配筋图，预应力钢束材料数量表，主梁施工程序图等图纸。设计中用到了材料力学、结构设计原理、结构力学、桥梁工程等学科的诸多知识。同时还从图书馆借阅了大量参考书，力求在设计过程中尽量做到规范、合理、清楚。此次设计使我所学的基础理论和专业技术知识更加系统、巩固、延伸和拓展，对我以后从事桥梁方面的工作具有很好的指导意义！论文共分九章进行阐述，并配有多幅插图，力求更具说服力。限于本人水平和资料有限，设计中肯定存在诸多不足，敬请老师和同学多多批评指正！-122- 第二章概述2.1设计依据及标准2.1.1设计标准（一）技术标准1）设计荷载：公路-Ⅰ级，人群荷载3.5KN/㎡；2)设计行车速度（公里/小时）：80；3）桥梁断面：引桥：2×0.5m(防撞护栏）+2×10.5m（机动车道）+2×0.75m（波形护栏）+0.5m（中央分隔带）=总宽24m；主桥：2×0.5m(防撞护栏）+2×10.5m（机动车道）+2×0.3m（金属护栏）+1.4m（中央分隔带）=总宽24m；桥面横坡：行车道双向2%；设计洪水频率:1/100;设计地震烈度：设防烈度7度(地震动峰值加速度为0.1g），地震作用0.5，E2地震作用0.7；设计基准期：100年；耐久性要求：按Ⅰ类环境控制；结构混凝土耐久性的基本要求：最大水灰比0.55，最小水泥用量275kg/m3，最低混凝土强度等级C25，最大氯离子含量（%）0.3，最大含碱量（kg/m3)3.0。对于预应力混凝土构件中最大氯离子含量为0.06%，最小水泥用量为350（kg/m3),最低混凝土强度等级为C40。设计安全等级：一级.；（二）设计规范(1)部颁《公路工程技术标准》（JTGB01-2003）(2)部颁《公路工程抗震设计细则》（JTG/TB02-01-2008）(3)部颁《公路桥涵设计通用规范》（JTGD60-2004）(4)部颁《公路圬工桥涵设计规范》(JTGD61-2005)(5)部颁《公路钢筋混凝土及预应力混凝土桥涵设计规范》（JTGD62-2004）(6)部颁《公路桥涵地基与基础设计规范》（JTGD63-2007）(7)部颁《公路桥涵施工技术规范》(JTG/TF50-2011)；(8)部颁《公路勘测规范》（JTGC10-2007)(9)部颁《公路工程水文勘测设计规范》（JTGC30-2002）-122- (10)部颁《公路勘测细则》(JTG-C10-2007)(11)部颁《公路工程抗震设计规范》（JTG004-89)(12)国颁《道路工程制图标准》（GB50162-92)(13)国颁《中国地震动参数区划图》（GB18306-2001)及第一号修改单(14)部颁《公路桥涵钢结构及木结构设计规范》（JTJ025-86)(15)《钢管混凝土结构设计与施工规范》（CESC28：90)(16)国颁《混凝土结构耐久性设计规范》（GB/T50476-2008)(17)部颁《公路工程混凝土结构防腐蚀技术规范》（JTG/TB07-01-2006)(18)部颁《公路桥梁钢结构防腐蚀涂装技术条件》（JT722-2008)2.1.2主要材料混凝土C50砼：主桥连续梁拱组合上部结构、引桥空心板梁、主桥边墩盖梁、桥面水泥砼铺装；C40砼：主墩墩柱、边墩墩柱；C40微膨胀砼：拱肋混凝土、主墩、边墩墩柱二次浇筑段；C30砼：引桥桥台桩基、盖梁、主桥主墩、边墩承台、防撞墙；（二）钢材普通钢筋：采用HPB235钢筋和HRB335钢筋，其技术标准应符合GB1449.1-2008和GB1449.2007的要求；钢板：采用Q235e、Q354、Q345qd钢板，其技术标准应符合GB/T700-2006及GB/T1591-2008；预应力筋：钢绞线采用Φ15.2，fpk=1860Mpa,其性能应符合《预应力混凝土用钢绞线》GB/T5224-2003技术标准的高强度钢绞线的要求；吊杆采用φ5mm集束高钢束，fpk=1670Mpa应符合《预应力混凝土用钢丝》GB/T5223-2002的要求；（三）其它1）锚具及管道成孔预制箱梁锚具采用OVM型锚具及其配套的设备，管道采用金属波纹管，吊杆采用冷铸墩头锚；2）支座空心板采用GPZ板式橡胶支座；连续箱梁采用GPZ(KZ)盆式橡胶支座；（3）伸缩缝采用FM伸缩缝；-122- 2.1.3桥面铺装主桥为6cm现浇混凝土+10cm沥青混凝土；引桥为10cm现浇混凝土+10cm沥青混凝土；2.1.4施工方式悬臂浇筑法挂篮施工；水箱压重法施工；拱肋分段吊装施工；2.2桥型及纵、横断面设计2.2.1桥型布置及孔径划分为缩短工期，提高行车的舒适性，并考虑经济要求和施工条件综合分析比较各类桥型后最终采用预应力混凝土连续梁桥，跨径为33+55+33m，施工方法三跨连续梁采用对称悬臂浇筑法挂篮施工，钢管混凝土拱肋采用分段吊装，待钢管拱肋焊接完毕后，灌注混凝土。本桥分三跨（33+55+33m）。采用预应力连续梁是因为其有如下特征：1．均载弯矩最大值比简支梁可减小50%左右；2．均载弯矩图面积比简支梁可减小2/3左右；3．由于控制弯矩的减小，导致恒载的减小使桥梁自重更轻；4．加大连续梁的根部厚度可以减小跨中正弯矩，是连续梁突出特征；5．连续梁桥在一联中无伸缩缝，行车条件较好；2.2.2截面型式及截面尺寸拟定（1）截面形式及梁高采用变截面单箱三室截面，桥梁中心线处主墩支点处梁高3.1m，跨中、边墩支点处梁高1.8m，底梁下缘采用2次抛物线变化。（2）顶板宽度与厚度箱梁顶板全宽为24m，厚度为0.28m，设有2%的单向横坡，以往通常采用28cm，近年来已趋向于减小为25cm，这显然与箱宽和施工技术有关。（3）底板宽度与厚度底板厚度由梁端和跨中的0.25m渐变至桥墩横隔梁处约0.55m；以往通常采用32cm(跨中)，逐渐向根部变厚，少数桥梁已开始采用28-25cm者，其厚跨比通常为（1/140～1/160）·L,也有用到（1/200）·L者。（4）腹板厚度腹板厚度梁端和跨中为0.45m，主墩处为0.7m，在3号块及4号块由0.45m渐变至0.7m，渐变长度6m-122- 。应特别注意主拉应力的控制，近年来在腹板上出现较多斜裂缝的病害甚多，应予谨慎。增加箱梁的挖空率，减轻截面的结构自重，采用高标号砼，采用较大吨位的预应力钢束，采用三向预应力体系等，无疑都是提高设计水平，获得良好经济效益的重要措施，但同时又必须合理地掌握好“度”，必须确保结构的安全度和耐久性。（5）横隔梁（板）设置在两端支点、两中支点、共设4道横隔梁，中跨在相应拱肋吊杆处共设置了9道横隔板。（6）拱肋结构拱肋采用钢管混凝土结构，采用矩形加圆角断面，宽130cm,高110cm，圆角半径30cm。钢管采用14mm厚Q345qd钢板焊接组成，内灌C40微膨胀混凝土。拱肋吊杆间距统一采用5m，顺桥向共9排吊杆，每个吊点在横桥向采用两排吊索。吊杆采用φ5mmOVMPES5-55平行钢丝成品索，标准强度1670Mpa,采用双层HDPE防护，锚具为冷铸墩头锚。图2.1主梁主墩横断面构造（单位：cm）图2.2桥中跨箱梁截面（单位：cm）-122- 图2.3拱肋截面图（单位：cm）2.3毛截面几何特性表1.1毛截面几何特性计算结果截面位置截面面积抗弯惯性矩中性轴高度截面高度边跨支点28.68737.135240.9441.8边跨跨中17.78068.297051.172.03主墩处31.738634.94281.553.1主跨l/4处17.35777.605181.131.97主跨跨中26.99377.190190.9471.8拱脚处1.052040.2617990.71.4拱肋0.249492.73E-020.5491.1-122- 第三章内力计算内力计算包括：恒载内力计算、活载内力计算、温度次内力计算及支座沉降次内力等计算。3.1恒载内力的计算恒载内力主要包括一期恒载内力和二期恒载内力的叠加。3.1.1施工方案施工顺序的确定梁拱组合桥的内力与应力状态，与形成结构的顺序及过程密切相关，不同的施工方案及施工顺序导致结构产生不同的受力状况。1、施工方案：本桥设计主梁采用悬臂浇筑法挂篮施工，钢管拱肋采用分段吊装，然后灌注混凝土，最后吊杆张拉。2、施工顺序：施工顺序不仅要考虑结构受力的需要，还要考虑施工单位的机具、设备、技术、力量和桥址处的水文、地质、气象等因素。根据实际情况，本桥抓住枯水期抢出三主墩工程，再对称向两侧进行悬臂施工。下一个枯水期到来时在两边搭支架合拢边跨，再合拢中跨形成连续体系。最后对称进行桥面铺装工作。3、在每个梁段悬浇过程中，应注意均衡对称施工，两端允许不均衡重为200kN，挂篮重（包括模板、人员、机具等）按800kN控制设计。4、梁施工节段的划分。主要考虑下面几个因素：（1）挂篮的承载力和抗倾覆稳定性。从目前国内施工水平看，挂篮的承载不宜超过2000kN，节段长度不宜超过5m；（2）大跨径的预应力混凝土连续梁，顶板钢束采用大吨位群锚体系，集中锚固在腹板承托上；（3）梁段不宜过短，应满足预应力管道弯曲半径的最小直线段的要求；（4）梁段划分的规格尽力减少，以利于施工。5、钢管拱肋的吊装，应该两边对称吊装，最后进行中间段拱肋焊接合拢。6、吊杆的张拉，应该满足对称的张拉方式，不同的施工顺序，会得到不同的成桥索力。3.1.2单元划分全桥划分单元时，应综合考虑结构在施工过程中及正常使用阶段控制设计的截面位置，使控制截面位于单元节点处。本设计为预应力混凝土梁拱组合桥，结合施工、使用中结构的受力特性及预应力筋束布置，全桥划分为115个单元，116个节点，单元的划分以桥梁的中线为对称轴，限于篇幅，这里仅示出左边半跨的划分单元，如图3.1所示。-122- 图3.1单元划分示意图与变截面连续箱梁最匹配的施工方法为悬臂挂篮施工，此设计最大跨径55m，可选用悬臂现浇挂篮施工，此桥为跨中对称体系，0号梁端长11.0m，1~6号梁端长为3.0m或4.0m，具体见图纸，边跨现浇段长6.45m，边跨合拢段2.0m，中跨合拢段2.0m。（1）具体施工浇筑程序如下：先安装主墩盆式橡胶支座，浇筑临时固结块；安装托架浇注0号梁段；安装挂篮，对称悬浇1-6号梁段；浇注边跨现浇段，合拢边跨；拆除主墩临时固结；浇注两中跨合拢段；（2）每段梁浇注程序：安装挂篮就位；测标高；立模；绑扎钢筋；浇注箱梁混凝土；测标高；待混凝土强度达到95%设计强度，混凝土弹性模量达到设计90%后，张拉三向预应力束；测标高；移动挂篮进行下一梁段的施工；对已张拉的三向预应力孔道及时压浆，由于结构受温度影响较大，测量时应尽量在早上进行，竖向预应力必须在挂篮移动前张拉，避免混凝土承受超前主应力而导致开裂，在每次挂篮移动后，应采取措施消除其非弹性变形。箱梁数量较大，可以分次浇注，但应注意吸纳老混凝土结合紧密防止混凝土出现收缩裂缝。施工过程中采用对称式两边同时进行，现浇后混凝土强度达到设计强度95%时张拉钢束，每节段施工周期一般为5—10天。（3）拱肋结构安装程序：-122- 搭设拱肋支架；两边对称吊装一号节段钢管拱肋；吊装二号节段钢管拱肋，并进行焊接合拢；灌注拱肋混凝土按设计好的顺序张拉吊杆3.1.3恒载集度计算（1）一期恒载集度（）一期恒载集度包括箱梁及横隔板的集度，也可只考虑箱梁集度而将横隔板作为集中荷载加在节点上。本桥将横隔板看作与梁体一体的部分，在计算主箱梁集度时，计算集度公式为：式中：i——单元号；——i号单元一期恒载集度；——i号单元的毛截面面积，Ai等于该单元两端节点截面积的平均值。（2）二期恒载集度（）二期恒载集度为桥面铺装与护栏、人行道集度之和，将其看成均布荷载，铺装采用6cm现浇混凝土，容重24KN/,10cm厚沥青混凝土，容重为23kN/，=89.8kN/m3.1.4恒载内力计算根据施工方法，计算恒载内力时应选取相应的方法，可将计算过程分为5个阶段，现分别计算如下：1、阶段（1），从三中墩开始，对称向两边逐段浇注，为保证平衡悬臂施工的安全，在墩顶设置临时锚固，由桥梁博士可求得主梁自重内力如图3.2、3.3所示-122- 图3.2悬臂剪力图（单位：kN▪m）图3.3悬臂弯矩图（单位：kN▪m）2、阶段（2），边孔合龙时，由桥梁博士可求得主梁自重内力如图3.4、3.5图3.4边跨合龙时剪力图（单位：kN）图3.5边跨合龙时弯矩图（单位：kN▪m）3、阶段（3），中跨合拢后，由桥梁博士可求得主梁自重内力如图3.6、3.7-122- 图3.6中跨合拢后剪力图（单位：kN）图3.7中跨合拢后弯矩图（单位：kN▪m）4、阶段（4）拱肋吊杆张拉后，由桥梁博士可求得主梁自重内力如图3.8、3.9图3.8吊杆张拉后剪力图（单位：kN）图3.9吊杆张拉后弯矩图（单位：kN▪m）5、阶段（5），吊杆张拉后，二期恒载加载，主梁在均部荷载作用下，同样利用桥梁博士可求得此阶段的内力如图3.10、3.11、3.12所示-122- 图3.10二期恒载示意图图3.11二期恒载剪力图（单位：kN）图3.12二期恒载弯矩图（单位：kN▪m）以上5个阶段内力的叠加就是整个连续梁体系的恒载内力，叠加结果如下表3.1所示，由以上5阶段的内力图叠加就可得恒载内力表3.1恒载内力阶段累计效应单元号节点号弯矩(kN▪m)剪力(kN)轴力(KN)1100022-1263.92E+030333.22E+033.12E+030448.28E+031.99E+030559.95E+031.52E+030661.20E+045310771.14E+04-958-1.56E-10883.53E+03-2.97E+03-2.93E-1099-7.81E+03-4.55E+03-4.27E-101010-1.25E+04-5.08E+03-3.47E-101111-3.73E+04-7.33E+03-3.09E-101212-6.19E+04-9.13E+03-3.33E-101313-9.22E+04-1.10E+04-3.44E-101414-1.07E+05-1.19E+04-3.68E-101515-1.35E+05-1.34E+0401616-1.45E+05-1.40E+046.66E-10-122- 1717-1.72E+051.37E+04-6.42E+0318105-1.43E+051.13E+04-6.42E+031919-1.21E+059.86E+03-6.42E+032020-1.10E+059.07E+03-6.42E+032121-9.49E+047.99E+03-6.42E+032222-9.26E+048.38E+03-6.42E+032323-8.98E+048.07E+03-6.42E+032424-8.40E+047.64E+03-6.42E+032525-6.32E+045.84E+03-6.42E+032626-5.95E+045.44E+03-6.42E+032727-5.79E+045.98E+03-6.42E+032828-5.57E+045.70E+03-6.42E+032929-4.18E+044.19E+03-6.42E+033030-3.57E+043.27E+03-6.42E+033131-3.48E+043.92E+03-6.42E+033232-3.31E+043.67E+03-6.42E+033333-2.74E+042.79E+03-6.42E+033434-2.21E+041.45E+03-6.42E+033535-2.17E+042.17E+03-6.42E+033636-2.05E+041.93E+03-6.42E+033737-1.92E+041.59E+03-6.42E+033838-1.66E+0499.6-6.42E+033939-1.72E+04-247-6.42E+034040-1.73E+04482-6.42E+034141-1.66E+04247-6.42E+034242-1.66E+04-99.6-6.42E+034343-1.92E+04-1.59E+03-6.42E+034444-2.10E+04-1.93E+03-6.42E+034545-2.17E+04-1.21E+03-6.42E+034646-2.15E+04-1.45E+03-6.42E+034747-2.74E+04-2.79E+03-6.42E+034848-3.36E+04-3.66E+03-6.42E+034949-3.48E+04-3.02E+03-6.42E+035050-3.52E+04-3.28E+03-6.42E+035151-4.18E+04-4.19E+03-6.42E+035252-5.61E+04-5.70E+03-6.42E+035353-5.79E+04-5.16E+03-6.42E+035454-5.90E+04-5.44E+03-6.42E+035555-6.32E+04-5.84E+03-6.42E+035656-8.40E+04-7.64E+03-6.42E+035757-9.01E+04-8.07E+03-6.42E+035858-9.26E+04-7.68E+03-6.42E+035959-9.46E+04-7.99E+03-6.42E+03-122- 6060-1.10E+05-9.07E+03-6.42E+036161-1.21E+05-9.86E+03-6.42E+036262-1.56E+05-1.21E+04-6.42E+036363-1.64E+051.56E+041.53E-096464-1.45E+051.40E+049.75E-106565-1.35E+051.34E+04-2.36E-106666-1.07E+051.19E+0406767-9.22E+041.10E+04-1.51E-106868-6.19E+049.13E+03-2.30E-106969-3.73E+047.33E+03-3.03E-107070-1.25E+045.08E+03-1.98E-107171-7.81E+034.55E+03-2.83E-1072723.53E+032.97E+03073731.14E+04958074741.20E+04-530075759.95E+03-1.52E+031.26E-1076768.28E+03-1.99E+03077773.22E+03-3.12E+031.17E-107878-1264601.08E-107917-1.17E+03-1168.35E+038080-1.79E+035.858.17E+038181-2.07E+031328.01E+038282-1.83E+033427.95E+038383-1.35E+03327.53E+038484-1.39E+033997.46E+038585-39243.27.05E+038686-3984396.99E+038787650-5.616.67E+0388885183086.64E+0389899505126.61E+0390901.45E+03-1146.45E+0391911.05E+033136.44E+0392921.72E+03-2236.44E+0393931.05E+032046.44E+0394941.45E+03-4766.61E+039595949-2556.63E+03969651695.66.65E+039797647-3486.96E+039898-40047.77.01E+039999-393-3087.42E+03100100-1.39E+0358.87.47E+03101101-1.35E+03-2967.92E+03102102-1.83E+03-59.67.95E+03-122- 103103-2.07E+032098.00E+03104104-1.79E+033318.17E+031058300-7081068500-8211078700-8961089000-9611099200-9651109400-9611119700-8951129900-82111310100-708下图为恒载内力图：图3.13恒载弯矩图、剪力图、轴力图3.2内力影响线计算由桥梁博士计算得出内力影响线值，根据其值做内力影响线图。因篇幅有限，影响线的数据较多，这里仅列出部分影响线的数值及其弯矩和剪力的影响线。下面列出：9号截面（边跨跨中处）；17号截面（主墩支点处）；-122- 40号截面（主跨跨中处）。表3.2节点影响线数据表（一）9#单元右截面内力影响线X轴力剪力弯矩X轴力剪力弯矩01.12E-15-2.49E-02-1.29E-0160.58.07E-151.04E-01-1.75E+000.550.00E+000.00E+000.00E+0060.86.41E-151.02E-01-1.72E+001.57.40E-164.30E-022.23E-0161.51.38E-149.78E-02-1.65E+003.5-1.67E-151.33E-016.99E-0164.53.08E-158.02E-02-1.36E+004.45-5.34E-151.76E-019.33E-0165.25.74E-157.61E-02-1.29E+006.451.13E-152.63E-011.45E+0065.52.40E-157.43E-02-1.26E+009.45-1.76E-143.89E-012.33E+0065.85.71E-157.26E-02-1.23E+0013.4-1.06E-145.42E-013.75E+0068.56.14E-155.76E-02-9.73E-0116.5-1.57E-146.43E-015.06E+0070.26.30E-154.90E-02-8.27E-0117.4-3.19E-146.73E-015.53E+0070.59.30E-154.75E-02-8.03E-0117.4-3.19E-14-3.27E-015.53E+0070.83.33E-154.61E-02-7.79E-0121.4-1.17E-14-2.18E-013.68E+0072.51.06E-173.84E-02-6.50E-0124.4-7.03E-15-1.48E-012.51E+0075.21.32E-152.80E-02-4.73E-0127.4-8.48E-15-8.88E-021.50E+0075.53.26E-152.69E-02-4.55E-0128.7-4.06E-15-6.58E-021.11E+0075.82.92E-152.59E-02-4.38E-0130.9-4.75E-15-2.97E-025.01E-0176.52.01E-152.36E-02-3.99E-0131.7-1.46E-15-1.83E-023.08E-0179.52.11E-151.51E-02-2.55E-01330.00E+000.00E+000.00E+0080.2-3.45E-161.34E-02-2.26E-0134.26.43E-161.74E-02-2.94E-0180.5-6.39E-161.27E-02-2.15E-0135.32.66E-153.14E-02-5.30E-0180.81.59E-151.20E-02-2.03E-0137.32.12E-155.60E-02-9.46E-0182.51.49E-168.45E-03-1.43E-0138.59.88E-156.93E-02-1.17E+0083.73.10E-166.25E-03-1.06E-0140.1-3.30E-158.64E-02-1.46E+0085.72.86E-173.05E-03-5.16E-0240.51.31E-158.91E-02-1.51E+0086.72.97E-171.59E-03-2.69E-0240.84.45E-159.18E-02-1.55E+00880.00E+000.00E+000.00E+0041.59.95E-159.79E-02-1.65E+0089.23.43E-17-1.49E-032.51E-0244.52.47E-151.19E-01-2.01E+0090-1.11E-16-2.34E-033.96E-0245.14.38E-151.23E-01-2.07E+0092.22.60E-16-4.69E-037.92E-0245.57.57E-151.24E-01-2.09E+0093.5-8.66E-16-5.92E-031.00E-0145.81.15E-141.25E-01-2.12E+0096.58.93E-17-8.34E-031.41E-0148.57.36E-151.34E-01-2.27E+0099.5-1.61E-16-1.01E-021.70E-0150.19.44E-151.36E-01-2.30E+00103-1.44E-15-1.11E-021.87E-0150.58.80E-151.36E-01-2.30E+00104-7.41E-16-1.11E-021.87E-0150.81.51E-151.36E-01-2.30E+00107-9.14E-16-1.05E-021.77E-0152.5-1.23E-141.35E-01-2.28E+00111-3.89E-16-8.35E-031.41E-0155.18.17E-161.28E-01-2.17E+001146.26E-17-5.93E-031.00E-0155.51.02E-141.27E-01-2.15E+00116-3.36E-17-4.04E-036.82E-0255.8-4.21E-151.26E-01-2.13E+00117-1.34E-17-3.08E-035.21E-02-122- 56.58.34E-151.23E-01-2.09E+00119-6.10E-17-1.00E-031.69E-0259.51.34E-141.09E-01-1.84E+001200.00E+000.00E+000.00E+0060.18.29E-151.05E-01-1.78E+001215.39E-175.80E-04-9.81E-03表3.3节点影响线数据表（二）17#单元左截面内力影响线：X轴力剪力弯矩X轴力剪力弯矩0-8.16E-03-9.64E-032.30E-0160.5-4.24E-012.42E-01-4.52E+000.550.00E+000.00E+000.00E+0060.8-4.24E-012.35E-01-4.47E+001.51.41E-021.66E-02-3.96E-0161.5-4.23E-012.19E-01-4.34E+003.54.33E-025.11E-02-1.22E+0064.5-4.08E-011.56E-01-3.74E+004.455.67E-026.70E-02-1.60E+0065.2-4.02E-011.43E-01-3.59E+006.458.34E-029.85E-02-2.35E+0065.5-3.99E-011.38E-01-3.53E+009.451.17E-011.39E-01-3.31E+0065.8-3.96E-011.33E-01-3.46E+0013.41.47E-011.74E-01-4.15E+0068.5-3.63E-019.18E-02-2.89E+0016.51.55E-011.84E-01-4.37E+0070.2-3.36E-017.13E-02-2.54E+0017.41.55E-011.83E-01-4.37E+0070.5-3.31E-016.81E-02-2.48E+0021.41.41E-011.67E-01-3.98E+0070.8-3.26E-016.49E-02-2.42E+0024.41.17E-011.39E-01-3.30E+0072.5-2.96E-014.90E-02-2.09E+0027.48.32E-029.83E-02-2.34E+0075.2-2.44E-013.01E-02-1.60E+0028.76.58E-027.78E-02-1.85E+0075.5-2.38E-012.84E-02-1.55E+0030.93.30E-023.89E-02-9.28E-0175.8-2.32E-012.67E-02-1.50E+0031.72.09E-022.47E-02-5.88E-0176.5-2.18E-012.32E-02-1.39E+00330.00E+000.00E+000.00E+0079.5-1.58E-011.17E-02-9.43E-01330.00E+001.00E+000.00E+0080.2-1.44E-019.81E-03-8.49E-0134.2-2.16E-029.74E-01-6.35E-0180.5-1.39E-019.06E-03-8.09E-0135.3-4.02E-029.51E-01-1.15E+0080.8-1.33E-018.34E-03-7.70E-0137.3-7.69E-029.05E-01-2.05E+0082.5-9.96E-024.98E-03-5.61E-0138.5-9.96E-028.75E-01-2.54E+0083.7-7.69E-023.24E-03-4.24E-0140.1-1.33E-018.31E-01-3.18E+0085.7-4.02E-021.25E-03-2.15E-0140.5-1.39E-018.23E-01-3.28E+0086.7-2.16E-025.77E-04-1.14E-0140.8-1.44E-018.15E-01-3.39E+00880.00E+000.00E+000.00E+0041.5-1.58E-017.95E-01-3.62E+0089.22.09E-02-4.59E-041.08E-0144.5-2.18E-017.10E-01-4.45E+00903.30E-02-7.24E-041.71E-0145.1-2.32E-016.89E-01-4.60E+0092.26.59E-02-1.45E-033.42E-0145.5-2.38E-016.80E-01-4.66E+0093.58.33E-02-1.83E-034.32E-0145.8-2.44E-016.71E-01-4.72E+0096.51.17E-01-2.58E-036.09E-0148.5-2.96E-015.89E-01-5.14E+0099.51.41E-01-3.10E-037.33E-0150.1-3.26E-015.36E-01-5.29E+001031.55E-01-3.41E-038.06E-0150.5-3.31E-015.27E-01-5.30E+001041.55E-01-3.42E-038.07E-0150.8-3.36E-015.18E-01-5.32E+001071.47E-01-3.24E-037.65E-0152.5-3.63E-014.66E-01-5.35E+001111.17E-01-2.58E-036.10E-01-122- 55.1-3.96E-013.85E-01-5.23E+001148.34E-02-1.83E-034.33E-0155.5-3.99E-013.76E-01-5.21E+001165.67E-02-1.25E-032.95E-0155.8-4.02E-013.68E-01-5.18E+001174.33E-02-9.52E-042.25E-0156.5-4.08E-013.48E-01-5.11E+001191.41E-02-3.10E-047.31E-0259.5-4.23E-012.67E-01-4.70E+001200.00E+000.00E+000.00E+0060.1-4.24E-012.50E-01-4.58E+00121-8.16E-031.79E-04-4.24E-02表3.4节点影响线数据表（三）40#单元左截面内力影响线：X轴力剪力弯矩X轴力剪力弯矩0-8.16E-03-4.25E-031.25E-0260.5-4.24E-015.39E-014.79E+000.550.00E+000.00E+000.00E+0060.8-4.24E-015.31E-014.64E+001.51.41E-027.33E-03-2.16E-0261.5-4.23E-015.13E-014.30E+003.54.33E-022.25E-02-6.66E-0264.5-4.08E-014.35E-013.06E+004.455.67E-022.95E-02-8.72E-0265.2-4.02E-014.17E-012.82E+006.458.34E-024.34E-02-1.28E-0165.5-3.99E-014.09E-012.72E+009.451.17E-016.11E-02-1.81E-0165.8-3.96E-014.02E-012.62E+0013.41.47E-017.67E-02-2.26E-0168.5-3.63E-013.35E-011.85E+0016.51.55E-018.09E-02-2.39E-0170.2-3.36E-012.96E-011.47E+0017.41.55E-018.08E-02-2.39E-0170.5-3.31E-012.89E-011.42E+0021.41.41E-017.35E-02-2.17E-0170.8-3.26E-012.83E-011.36E+0024.41.17E-016.10E-02-1.80E-0172.5-2.96E-012.46E-011.07E+0027.48.32E-024.33E-02-1.28E-0175.2-2.44E-011.92E-017.12E-0128.76.58E-023.43E-02-1.01E-0175.5-2.38E-011.86E-016.80E-0130.93.30E-021.72E-02-5.06E-0275.8-2.32E-011.81E-016.49E-0131.72.09E-021.09E-02-3.21E-0276.5-2.18E-011.68E-015.80E-01330.00E+000.00E+000.00E+0079.5-1.58E-011.17E-013.46E-0134.2-2.16E-02-1.14E-023.43E-0280.2-1.44E-011.05E-013.04E-0135.3-4.02E-02-2.13E-026.57E-0280.5-1.39E-011.01E-012.86E-0137.3-7.69E-02-4.15E-021.36E-0180.8-1.33E-019.61E-022.70E-0138.5-9.96E-02-5.45E-021.85E-0182.5-9.96E-027.10E-021.85E-0140.1-1.33E-01-7.43E-022.70E-0183.7-7.69E-025.42E-021.36E-0140.5-1.39E-01-7.79E-022.86E-0185.7-4.02E-022.79E-026.57E-0240.8-1.44E-01-8.16E-023.03E-0186.7-2.16E-021.49E-023.43E-0241.5-1.58E-01-9.04E-023.46E-01880.00E+000.00E+000.00E+0044.5-2.18E-01-1.32E-015.80E-0189.22.09E-02-1.43E-02-3.21E-0245.1-2.32E-01-1.42E-016.49E-01903.30E-02-2.26E-02-5.07E-0245.5-2.38E-01-1.47E-016.80E-0192.26.59E-02-4.52E-02-1.01E-0145.8-2.44E-01-1.51E-017.12E-0193.58.33E-02-5.71E-02-1.28E-0148.5-2.96E-01-1.96E-011.07E+0096.51.17E-01-8.04E-02-1.80E-0150.1-3.26E-01-2.27E-011.36E+0099.51.41E-01-9.68E-02-2.17E-0150.5-3.31E-01-2.33E-011.42E+001031.55E-01-1.07E-01-2.39E-01-122- 50.8-3.36E-01-2.39E-011.47E+001041.55E-01-1.07E-01-2.39E-0152.5-3.63E-01-2.73E-011.85E+001071.47E-01-1.01E-01-2.26E-0155.1-3.96E-01-3.32E-012.62E+001111.17E-01-8.05E-02-1.81E-0155.5-3.99E-01-3.39E-012.72E+001148.34E-02-5.72E-02-1.28E-0155.8-4.02E-01-3.46E-012.82E+001165.67E-02-3.89E-02-8.72E-0256.5-4.08E-01-3.62E-013.06E+001174.33E-02-2.97E-02-6.66E-0259.5-4.23E-01-4.36E-014.30E+001191.41E-02-9.65E-03-2.16E-0260.1-4.24E-01-4.54E-014.64E+001200.00E+000.00E+000.00E+0060.5-4.24E-01-4.62E-014.79E+00121-8.16E-035.60E-031.25E-02所选截面剪力影响线如图3.13～图3.16：图3.149号截面剪力影响线图3.1517号左截面剪力影响线-122- 图3.1640号截面剪力影响线所选截面弯矩影响线如图3.17～图3.19：图3.179号截面弯矩影响线图3.1817号截面弯矩影响线-122- 图3.1940号截面弯矩影响线3.3活载内力计算具体计算采用专用程序在主梁活载内力影响线上动态加载可求得活载最大内力，下面仅给出梁在车道荷载和人群荷载作用下的活载内力计算结果，详见表3.5和3.6表3.5车道荷载单元号节点号Mmax（kN.m)Mmin（kN.m)Qmax(kN)Qmin(kN)110.00E+000.00E+000.00E+00-2.13E+03120.00E+00-9.85E+020.00E+002.16E+03220.00E+00-9.85E+022.12E+03-3.81E+02231.72E+03-8.73E+02-2.01E+033.81E+02331.72E+03-8.73E+022.02E+03-3.82E+02344.87E+03-1.12E+03-1.80E+033.89E+02444.87E+03-1.12E+031.80E+03-3.89E+02456.13E+03-1.35E+03-1.70E+034.43E+02556.13E+03-1.35E+031.70E+03-4.43E+02568.33E+03-2.03E+03-1.49E+035.96E+02668.33E+03-2.03E+031.49E+03-5.96E+02671.05E+04-3.07E+03-1.21E+038.30E+02771.05E+04-3.07E+031.21E+03-8.30E+02781.16E+04-4.45E+03-8.81E+021.16E+03881.16E+04-4.45E+038.85E+02-1.16E+03891.11E+04-5.49E+03-6.88E+021.39E+03991.11E+04-5.49E+036.94E+02-1.39E+039101.08E+04-5.83E+03-6.36E+021.47E+0310101.08E+04-5.83E+036.45E+02-1.47E+0310118.56E+03-7.20E+03-4.25E+021.77E+0311118.56E+03-7.20E+034.25E+02-1.77E+0311126.30E+03-8.37E+03-2.89E+021.99E+0312126.30E+03-8.37E+032.89E+02-1.99E+0312134.01E+03-1.02E+04-1.76E+022.19E+03-122- 13134.01E+03-1.02E+041.80E+02-2.19E+0313143.18E+03-1.12E+04-1.35E+022.29E+0314143.18E+03-1.12E+041.35E+02-2.29E+0314151.65E+03-1.31E+04-6.39E+012.42E+0315151.65E+03-1.31E+046.38E+01-2.42E+0315161.17E+03-1.39E+04-5.67E+012.49E+0316161.16E+03-1.39E+045.67E+01-2.49E+0316179.33E+02-1.58E+04-5.66E+012.55E+0317171.98E+03-1.75E+042.56E+030.00E+0017181.96E+03-1.56E+04-2.44E+035.12E+01181052.26E+03-1.41E+042.37E+03-9.77E+0118193.45E+03-1.17E+04-2.22E+031.95E+0219193.45E+03-1.17E+042.22E+03-1.95E+0219204.27E+03-1.07E+04-2.12E+032.64E+0220204.27E+03-1.07E+042.12E+03-2.64E+0220215.10E+03-9.37E+03-1.99E+033.60E+0221215.09E+03-9.38E+031.99E+03-3.53E+0221225.38E+03-9.16E+03-1.97E+033.78E+0222225.38E+03-9.16E+032.02E+03-3.09E+0222235.39E+03-8.95E+03-2.00E+033.23E+0223235.40E+03-8.94E+032.00E+03-3.23E+0223245.93E+03-8.45E+03-1.95E+033.63E+0224245.93E+03-8.45E+031.95E+03-3.64E+0224257.32E+03-6.56E+03-1.72E+035.13E+0225257.32E+03-6.56E+031.72E+03-5.42E+0225267.47E+03-6.16E+03-1.67E+035.70E+0226267.44E+03-6.16E+031.67E+03-5.70E+0226277.66E+03-5.99E+03-1.65E+035.68E+0227277.66E+03-5.99E+031.75E+03-5.27E+0227287.63E+03-5.83E+03-1.72E+035.26E+0228287.65E+03-5.83E+031.72E+03-5.26E+0228298.64E+03-4.46E+03-1.53E+036.61E+0229298.64E+03-4.46E+031.53E+03-6.90E+0229308.86E+03-3.69E+03-1.41E+037.81E+0230308.80E+03-3.69E+031.41E+03-7.81E+0230318.95E+03-3.55E+03-1.39E+037.81E+0231318.95E+03-3.55E+031.53E+03-7.21E+0231328.87E+03-3.43E+03-1.51E+037.21E+0232328.93E+03-3.44E+031.51E+03-7.21E+0232339.37E+03-2.79E+03-1.39E+038.08E+0233339.37E+03-2.79E+031.39E+03-8.37E+0233349.42E+03-1.90E+03-1.21E+039.91E+0234349.34E+03-1.86E+031.21E+03-9.91E+02-122- 34359.45E+03-1.79E+03-1.19E+039.91E+0235359.45E+03-1.79E+031.34E+03-8.95E+0235369.33E+03-1.71E+03-1.32E+038.95E+0236369.41E+03-1.76E+031.32E+03-8.95E+0236379.62E+03-1.67E+03-1.28E+039.24E+0237379.62E+03-1.67E+031.28E+03-9.54E+0237389.80E+03-9.78E+02-1.09E+031.11E+0338389.80E+03-9.78E+021.09E+03-1.14E+0338399.72E+03-8.62E+02-1.05E+031.17E+0339399.62E+03-8.19E+021.05E+03-1.17E+0339409.45E+03-7.69E+02-1.03E+031.17E+0340409.45E+03-7.69E+021.18E+03-1.05E+0340419.62E+03-8.18E+02-1.16E+031.05E+0341419.72E+03-8.62E+021.16E+03-1.05E+0341429.64E+03-9.78E+02-1.11E+031.08E+0342429.64E+03-9.78E+021.11E+03-1.12E+0342439.62E+03-1.67E+03-9.30E+021.27E+0343439.62E+03-1.67E+039.30E+02-1.31E+0343449.49E+03-1.76E+03-8.89E+021.34E+0344449.42E+03-1.71E+038.89E+02-1.34E+0344459.30E+03-1.79E+03-8.72E+021.34E+0345459.30E+03-1.79E+039.96E+02-1.22E+0345469.33E+03-1.86E+03-9.78E+021.22E+0346469.54E+03-1.90E+039.78E+02-1.22E+0346479.30E+03-2.79E+03-8.14E+021.39E+0347479.30E+03-2.79E+038.14E+02-1.42E+0347488.94E+03-3.44E+03-7.16E+021.52E+0348489.01E+03-3.43E+037.16E+02-1.52E+0348498.81E+03-3.55E+03-7.00E+021.52E+0349498.81E+03-3.55E+037.87E+02-1.40E+0349508.85E+03-3.68E+03-7.68E+021.44E+0350508.86E+03-3.69E+037.68E+02-1.44E+0350518.50E+03-4.46E+03-6.67E+021.55E+0351518.50E+03-4.46E+036.67E+02-1.55E+0351527.65E+03-5.82E+03-5.22E+021.73E+0352527.63E+03-5.83E+035.22E+02-1.73E+0352537.63E+03-5.99E+03-5.08E+021.76E+0353537.63E+03-5.99E+035.76E+02-1.67E+0353547.47E+03-6.16E+03-5.59E+021.67E+0354547.54E+03-6.16E+035.59E+02-1.70E+0354557.29E+03-6.55E+03-5.20E+021.74E+0355557.29E+03-6.55E+035.20E+02-1.74E+0355565.93E+03-8.45E+03-3.63E+021.97E+03-122- 56565.93E+03-8.45E+033.63E+02-1.97E+0356575.50E+03-8.94E+03-3.30E+022.00E+0357575.52E+03-8.95E+033.30E+02-2.00E+0357585.26E+03-9.16E+03-3.16E+022.04E+0358585.26E+03-9.16E+033.77E+02-2.01E+0358595.14E+03-9.38E+03-3.60E+022.01E+0359595.12E+03-9.37E+033.60E+02-2.01E+0359604.18E+03-1.07E+04-2.64E+022.12E+0360604.18E+03-1.07E+042.64E+02-2.16E+0360613.45E+03-1.17E+04-2.00E+022.24E+0361613.45E+03-1.17E+042.00E+02-2.24E+03611062.26E+03-1.41E+04-1.00E+022.39E+0362621.96E+03-1.56E+045.27E+01-2.46E+0362631.98E+03-1.75E+040.00E+002.54E+0363639.34E+02-1.58E+042.54E+03-5.41E+0163641.17E+03-1.39E+04-2.46E+035.42E+0164641.17E+03-1.39E+042.46E+03-5.42E+0164651.65E+03-1.31E+04-2.41E+036.39E+0165651.65E+03-1.31E+042.41E+03-6.39E+0165663.18E+03-1.12E+04-2.27E+031.30E+0266663.18E+03-1.12E+042.27E+03-1.30E+0266674.10E+03-1.02E+04-2.18E+031.80E+0267674.10E+03-1.02E+042.18E+03-1.76E+0267686.30E+03-8.37E+03-1.98E+032.89E+0268686.30E+03-8.37E+031.98E+03-2.89E+0268698.63E+03-7.21E+03-1.77E+034.16E+0269698.63E+03-7.21E+031.77E+03-4.42E+0269701.09E+04-5.83E+03-1.47E+036.38E+0270701.09E+04-5.83E+031.47E+03-6.60E+0270711.12E+04-5.49E+03-1.39E+036.89E+0271711.12E+04-5.49E+031.39E+03-6.83E+0271721.16E+04-4.45E+03-1.15E+038.80E+0272721.16E+04-4.45E+031.15E+03-9.13E+0272731.06E+04-3.07E+03-8.30E+021.21E+0373731.06E+04-3.07E+038.30E+02-1.25E+0373748.37E+03-2.04E+03-5.96E+021.49E+0374748.37E+03-2.04E+035.96E+02-1.54E+0374756.15E+03-1.35E+03-4.43E+021.69E+0375756.15E+03-1.35E+034.43E+02-1.75E+0375764.82E+03-1.08E+03-3.89E+021.80E+0376764.82E+03-1.08E+033.89E+02-1.80E+0376771.70E+03-8.37E+02-3.83E+022.02E+0377771.70E+03-8.37E+023.82E+02-2.02E+03-122- 77780.00E+00-9.35E+02-3.81E+022.13E+0378780.00E+00-9.35E+022.16E+030.00E+0078790.00E+000.00E+00-2.03E+030.00E+0079171.43E+03-8.11E+021.07E+02-2.27E+0279808.52E+02-5.37E+02-1.07E+022.27E+0280808.52E+02-5.37E+028.38E+01-1.70E+0280814.36E+02-3.29E+02-8.38E+011.70E+0281814.36E+02-3.30E+025.94E+01-1.10E+0281821.92E+02-1.96E+02-5.94E+011.10E+0282821.92E+02-1.96E+023.90E+01-6.04E+0182831.27E+02-1.43E+02-3.90E+016.04E+0183831.27E+02-1.43E+023.81E+01-7.24E+0183844.26E+01-1.11E+02-3.81E+017.24E+0184844.26E+01-1.11E+021.80E+010.00E+0084856.56E+01-9.13E+01-1.80E+010.00E+0085856.56E+01-9.13E+012.24E+01-3.63E+0185867.38E+01-1.59E+02-2.24E+013.63E+0186867.38E+01-1.59E+025.65E+01-1.66E+0186878.96E+01-6.89E+01-5.65E+011.66E+0187878.96E+01-6.89E+011.99E+01-3.25E+0187887.22E+01-1.09E+02-1.99E+013.25E+0188887.22E+01-1.09E+024.86E+01-1.51E+0188896.54E+01-6.48E+01-4.86E+011.51E+0189896.54E+01-6.48E+019.71E+01-3.53E+0189901.22E+02-2.18E+01-9.71E+013.53E+0190901.22E+02-2.18E+012.20E+01-4.61E+0190915.85E+01-4.62E+01-2.20E+014.61E+0191915.85E+01-4.62E+016.10E+01-2.39E+0191921.34E+020.00E+00-6.10E+012.39E+0192921.34E+020.00E+002.39E+01-6.10E+0192935.85E+01-4.63E+01-2.39E+016.10E+0193935.85E+01-4.63E+014.60E+01-2.20E+0193941.22E+02-2.18E+01-4.60E+012.20E+0194941.22E+02-2.18E+013.53E+01-9.71E+0194956.54E+01-6.49E+01-3.53E+019.71E+0195956.54E+01-6.49E+011.51E+01-4.85E+0195967.23E+01-1.09E+02-1.51E+014.85E+0196967.23E+01-1.09E+023.25E+01-1.98E+0196978.97E+01-6.89E+01-3.25E+011.98E+0197978.97E+01-6.89E+011.66E+01-5.65E+0197987.39E+01-1.59E+02-1.66E+015.65E+0198987.39E+01-1.59E+023.63E+01-2.24E+0198996.55E+01-9.14E+01-3.63E+012.24E+01-122- 99996.55E+01-9.13E+010.00E+00-1.80E+01991004.25E+01-1.11E+020.00E+001.80E+011001004.25E+01-1.11E+027.25E+01-3.81E+011001011.27E+02-1.43E+02-7.25E+013.81E+011011011.27E+02-1.43E+026.04E+01-3.90E+011011021.92E+02-1.96E+02-6.04E+013.90E+011021021.92E+02-1.96E+021.10E+02-5.94E+011021034.36E+02-3.29E+02-1.10E+025.94E+011031034.36E+02-3.29E+021.70E+02-8.38E+011031048.52E+02-5.37E+02-1.70E+028.38E+011041048.52E+02-5.37E+022.27E+02-1.07E+02104631.43E+03-8.11E+02-2.27E+021.07E+02105830.00E+000.00E+000.00E+000.00E+00105220.00E+000.00E+000.00E+000.00E+00106850.00E+000.00E+000.00E+000.00E+00106270.00E+000.00E+000.00E+000.00E+00107870.00E+000.00E+000.00E+000.00E+00107310.00E+000.00E+000.00E+000.00E+00108900.00E+000.00E+000.00E+000.00E+00108350.00E+000.00E+000.00E+000.00E+00109920.00E+000.00E+000.00E+000.00E+00109400.00E+000.00E+000.00E+000.00E+00110940.00E+000.00E+000.00E+000.00E+00110450.00E+000.00E+000.00E+000.00E+00111970.00E+000.00E+000.00E+000.00E+00111490.00E+000.00E+000.00E+000.00E+00112990.00E+000.00E+000.00E+000.00E+00112530.00E+000.00E+000.00E+000.00E+001131010.00E+000.00E+000.00E+000.00E+00113580.00E+000.00E+000.00E+000.00E+00114181.99E+03-1.57E+042.44E+03-5.29E+011141052.26E+03-1.41E+04-2.37E+031.01E+021151062.26E+03-1.41E+041.00E+02-2.39E+03115622.00E+03-1.57E+04-5.29E+012.46E+03下面是车道荷载弯矩和剪力包络图：-122- 图3.20车道荷载主梁弯矩包络图（单位：kN▪m）图3.21车道荷载拱肋弯矩包络图（单位：kN▪m）图3.22车道荷载主梁剪力包络图-122- 图3.23车道荷载拱肋剪力包络图表3.6人群荷载单元号节点号Mmax（kN.m)Mmin（kN.m)Qmax(kN)Qmin(kN)110.00E+000.00E+000.00E+00-3.68E-02120.00E+00-1.11E+010.00E+003.94E+01220.00E+00-1.11E+019.54E+02-2.87E+02238.89E+02-2.83E+02-8.86E+022.89E+02338.89E+02-2.83E+028.90E+02-2.90E+02342.56E+03-8.60E+02-7.58E+023.02E+02442.56E+03-8.60E+027.58E+02-3.02E+02453.25E+03-1.13E+03-7.00E+023.12E+02553.25E+03-1.13E+037.00E+02-3.12E+02564.48E+03-1.71E+03-5.87E+023.43E+02664.48E+03-1.71E+035.89E+02-3.44E+02675.79E+03-2.58E+03-4.42E+024.12E+02775.79E+03-2.58E+034.43E+02-4.12E+02786.51E+03-3.73E+03-2.88E+025.47E+02886.51E+03-3.73E+032.88E+02-5.47E+02896.27E+03-4.60E+03-1.99E+026.76E+02996.27E+03-4.60E+031.98E+02-6.76E+029106.06E+03-4.89E+03-1.74E+027.24E+0210106.06E+03-4.89E+031.73E+02-7.23E+0210114.42E+03-6.05E+03-9.44E+019.35E+0211114.42E+03-6.05E+039.44E+01-9.35E+0211122.67E+03-7.15E+03-5.57E+011.11E+0312122.67E+03-7.15E+035.57E+01-1.11E+0312131.42E+03-9.44E+03-3.09E+011.31E+0313131.42E+03-9.44E+032.66E+01-1.31E+0313141.06E+03-1.08E+04-1.96E+011.40E+0314141.06E+03-1.08E+041.96E+01-1.40E+03-122- 14156.79E+02-1.37E+04-1.22E+011.55E+0315156.79E+02-1.37E+041.22E+01-1.55E+0315166.16E+02-1.48E+04-1.10E+011.61E+0316166.16E+02-1.48E+041.10E+01-1.61E+0316175.91E+02-1.68E+04-1.02E+011.69E+0317171.26E+03-1.87E+041.68E+030.00E+0017181.30E+03-1.67E+04-1.59E+031.12E+00181051.39E+03-1.51E+041.52E+03-4.02E+0018191.72E+03-1.25E+04-1.38E+031.40E+0119191.72E+03-1.25E+041.38E+03-1.40E+0119202.00E+03-1.11E+04-1.31E+032.31E+0120202.00E+03-1.11E+041.31E+03-2.31E+0120212.45E+03-9.46E+03-1.20E+034.03E+0121212.45E+03-9.49E+031.20E+03-4.03E+0121222.54E+03-9.23E+03-1.18E+034.39E+0122222.54E+03-9.23E+031.24E+03-6.30E+0122232.62E+03-8.96E+03-1.22E+036.65E+0123232.62E+03-8.93E+031.22E+03-6.65E+0123242.82E+03-8.31E+03-1.18E+037.53E+0124242.82E+03-8.31E+031.18E+03-7.53E+0124253.66E+03-6.10E+03-1.01E+031.24E+0225253.66E+03-6.10E+031.01E+03-1.29E+0225263.84E+03-5.66E+03-9.73E+021.41E+0226263.84E+03-5.69E+039.73E+02-1.41E+0226273.91E+03-5.51E+03-9.57E+021.44E+0227273.91E+03-5.51E+031.04E+03-1.66E+0227283.99E+03-5.32E+03-1.02E+031.69E+0228283.99E+03-5.30E+031.02E+03-1.69E+0228294.62E+03-3.81E+03-8.86E+022.27E+0229294.62E+03-3.81E+038.86E+02-2.33E+0229304.89E+03-3.04E+03-8.08E+022.76E+0230304.86E+03-3.06E+038.08E+02-2.76E+0230314.90E+03-2.93E+03-7.95E+022.81E+0231314.90E+03-2.93E+038.76E+02-2.88E+0231324.94E+03-2.80E+03-8.62E+022.92E+0232324.98E+03-2.79E+038.62E+02-2.92E+0232335.22E+03-2.14E+03-7.85E+023.35E+0233335.22E+03-2.14E+037.84E+02-3.43E+0233345.38E+03-1.33E+03-6.74E+024.25E+0234345.32E+03-1.32E+036.74E+02-4.25E+0234355.32E+03-1.25E+03-6.62E+024.30E+0235355.32E+03-1.25E+037.28E+02-4.18E+0235365.34E+03-1.18E+03-7.15E+024.22E+02-122- 36365.39E+03-1.19E+037.15E+02-4.22E+0236375.44E+03-1.06E+03-6.86E+024.41E+0237375.44E+03-1.06E+036.86E+02-4.49E+0237385.70E+03-8.51E+02-5.71E+025.44E+0238385.69E+03-8.51E+025.71E+02-5.53E+0238395.67E+03-8.25E+02-5.47E+025.76E+0239395.57E+03-7.82E+025.47E+02-5.76E+0239405.55E+03-7.70E+02-5.37E+025.82E+0240405.55E+03-7.70E+025.82E+02-5.45E+0240415.57E+03-7.81E+02-5.70E+025.50E+0241415.67E+03-8.25E+025.70E+02-5.51E+0241425.69E+03-8.51E+02-5.44E+025.71E+0242425.69E+03-8.51E+025.43E+02-5.80E+0242435.44E+03-1.06E+03-4.41E+026.86E+0243435.44E+03-1.06E+034.40E+02-6.97E+0243445.39E+03-1.19E+03-4.19E+027.22E+0244445.34E+03-1.18E+034.19E+02-7.22E+0244455.32E+03-1.25E+03-4.10E+027.28E+0245455.32E+03-1.25E+034.30E+02-6.72E+0245465.32E+03-1.32E+03-4.20E+026.78E+0246465.38E+03-1.33E+034.20E+02-6.78E+0246475.22E+03-2.14E+03-3.35E+027.85E+0247475.22E+03-2.14E+033.35E+02-7.96E+0247484.98E+03-2.79E+03-2.89E+028.69E+0248484.95E+03-2.80E+032.89E+02-8.69E+0248494.90E+03-2.93E+03-2.81E+028.76E+0249494.90E+03-2.93E+032.81E+02-8.01E+0249504.86E+03-3.06E+03-2.72E+028.18E+0250504.89E+03-3.04E+032.72E+02-8.18E+0250514.62E+03-3.81E+03-2.27E+028.92E+0251514.62E+03-3.81E+032.27E+02-8.92E+0251523.99E+03-5.30E+03-1.67E+021.02E+0352523.99E+03-5.32E+031.67E+02-1.02E+0352533.91E+03-5.51E+03-1.61E+021.05E+0353533.91E+03-5.51E+031.44E+02-9.65E+0253543.84E+03-5.69E+03-1.38E+029.73E+0254543.85E+03-5.66E+031.38E+02-9.86E+0254553.66E+03-6.10E+03-1.24E+021.02E+0355553.66E+03-6.10E+031.24E+02-1.02E+0355562.82E+03-8.31E+03-7.53E+011.19E+0356562.82E+03-8.31E+037.53E+01-1.19E+0356572.62E+03-8.93E+03-6.65E+011.22E+0357572.62E+03-8.96E+036.65E+01-1.22E+03-122- 57582.54E+03-9.23E+03-6.30E+011.25E+0358582.54E+03-9.23E+034.39E+01-1.20E+0358592.45E+03-9.49E+03-4.03E+011.21E+0359592.45E+03-9.46E+034.03E+01-1.21E+0359602.00E+03-1.11E+04-2.31E+011.31E+0360602.00E+03-1.11E+042.31E+01-1.32E+0360611.72E+03-1.25E+04-1.40E+011.39E+0361611.72E+03-1.25E+041.40E+01-1.39E+03611061.39E+03-1.51E+04-4.02E+001.53E+0362621.30E+03-1.67E+041.12E+00-1.60E+0362631.26E+03-1.87E+040.00E+001.68E+0363635.91E+02-1.68E+041.69E+03-1.02E+0163646.17E+02-1.48E+04-1.60E+031.10E+0164646.17E+02-1.48E+041.60E+03-1.10E+0164656.80E+02-1.37E+04-1.54E+031.22E+0165656.80E+02-1.37E+041.54E+03-1.22E+0165661.06E+03-1.08E+04-1.39E+031.96E+0166661.06E+03-1.08E+041.39E+03-1.96E+0166671.43E+03-9.44E+03-1.30E+032.66E+0167671.43E+03-9.44E+031.30E+03-3.09E+0167682.67E+03-7.15E+03-1.11E+035.57E+0168682.67E+03-7.15E+031.11E+03-5.57E+0168694.43E+03-6.05E+03-9.32E+029.45E+0169694.43E+03-6.05E+039.32E+02-9.85E+0169706.06E+03-4.89E+03-7.20E+021.73E+0270706.06E+03-4.89E+037.21E+02-1.80E+0270716.27E+03-4.61E+03-6.75E+021.98E+0271716.27E+03-4.61E+036.75E+02-1.99E+0271726.51E+03-3.73E+03-5.45E+022.88E+0272726.51E+03-3.73E+035.45E+02-2.97E+0272735.79E+03-2.58E+03-4.12E+024.43E+0273735.79E+03-2.58E+034.12E+02-4.54E+0273744.48E+03-1.71E+03-3.44E+025.89E+0274744.48E+03-1.71E+033.43E+02-6.00E+0274753.25E+03-1.13E+03-3.12E+027.00E+0275753.25E+03-1.13E+033.12E+02-7.15E+0275762.56E+03-8.60E+02-3.02E+027.60E+0276762.56E+03-8.60E+023.02E+02-7.60E+0276778.89E+02-2.84E+02-2.90E+028.92E+0277778.89E+02-2.84E+022.89E+02-8.88E+0277780.00E+00-1.11E+01-2.87E+029.57E+0278780.00E+00-1.11E+013.94E+010.00E+0078790.00E+000.00E+00-3.68E-020.00E+00-122- 79171.28E+03-7.66E+029.67E+01-1.82E+0279807.70E+02-4.96E+02-9.67E+011.82E+0280807.70E+02-4.96E+027.50E+01-1.36E+0280814.02E+02-2.93E+02-7.50E+011.36E+0281814.02E+02-2.93E+025.24E+01-8.73E+0181821.87E+02-1.64E+02-5.24E+018.73E+0182821.87E+02-1.64E+023.34E+01-4.69E+0182831.17E+02-1.14E+02-3.34E+014.69E+0183831.17E+02-1.14E+023.43E+01-5.78E+0183843.73E+01-1.03E+02-3.43E+015.78E+0184843.73E+01-1.03E+021.15E+010.00E+0084855.13E+01-8.16E+01-1.15E+010.00E+0085855.13E+01-8.16E+011.97E+01-3.04E+0185865.35E+01-1.12E+02-1.97E+013.04E+0186865.35E+01-1.12E+024.27E+01-1.43E+0186877.01E+01-5.43E+01-4.27E+011.43E+0187877.00E+01-5.43E+011.64E+01-2.62E+0187885.87E+01-6.79E+01-1.64E+012.62E+0188885.87E+01-6.79E+013.48E+01-1.20E+0188895.82E+01-3.37E+01-3.48E+011.20E+0189895.82E+01-3.37E+017.41E+01-3.07E+0189908.88E+01-1.91E+01-7.41E+013.07E+0190908.88E+01-1.91E+011.75E+01-3.39E+0190915.71E+01-2.83E+01-1.75E+013.39E+0191915.71E+01-2.83E+014.46E+01-1.92E+0191929.29E+010.00E+00-4.46E+011.92E+0192929.29E+010.00E+001.92E+01-4.46E+0192935.71E+01-2.83E+01-1.92E+014.46E+0193935.71E+01-2.83E+013.39E+01-1.75E+0193948.88E+01-1.91E+01-3.39E+011.75E+0194948.88E+01-1.91E+013.07E+01-7.41E+0194955.82E+01-3.37E+01-3.07E+017.41E+0195955.82E+01-3.37E+011.20E+01-3.48E+0195965.87E+01-6.79E+01-1.20E+013.48E+0196965.87E+01-6.79E+012.62E+01-1.64E+0196977.00E+01-5.43E+01-2.62E+011.64E+0197977.00E+01-5.43E+011.43E+01-4.27E+0197985.35E+01-1.12E+02-1.43E+014.27E+0198985.35E+01-1.12E+023.04E+01-1.97E+0198995.13E+01-8.16E+01-3.04E+011.97E+0199995.13E+01-8.16E+010.00E+00-1.15E+01991003.73E+01-1.03E+020.00E+001.15E+011001003.73E+01-1.03E+025.78E+01-3.43E+01-122- 1001011.17E+02-1.14E+02-5.78E+013.43E+011011011.17E+02-1.14E+024.69E+01-3.34E+011011021.87E+02-1.64E+02-4.69E+013.34E+011021021.87E+02-1.64E+028.73E+01-5.24E+011021034.02E+02-2.93E+02-8.73E+015.24E+011031034.02E+02-2.93E+021.36E+02-7.50E+011031047.70E+02-4.95E+02-1.36E+027.50E+011041047.70E+02-4.95E+021.82E+02-9.67E+01104631.28E+03-7.66E+02-1.82E+029.67E+01105830.00E+000.00E+000.00E+000.00E+00105220.00E+000.00E+000.00E+000.00E+00106850.00E+000.00E+000.00E+000.00E+00106270.00E+000.00E+000.00E+000.00E+00107870.00E+000.00E+000.00E+000.00E+00107310.00E+000.00E+000.00E+000.00E+00108900.00E+000.00E+000.00E+000.00E+00108350.00E+000.00E+000.00E+000.00E+00109920.00E+000.00E+000.00E+000.00E+00109400.00E+000.00E+000.00E+000.00E+00110940.00E+000.00E+000.00E+000.00E+00110450.00E+000.00E+000.00E+000.00E+00111970.00E+000.00E+000.00E+000.00E+00111490.00E+000.00E+000.00E+000.00E+00112990.00E+000.00E+000.00E+000.00E+00112530.00E+000.00E+000.00E+000.00E+001131010.00E+000.00E+000.00E+000.00E+00113580.00E+000.00E+000.00E+000.00E+00114181.32E+03-1.68E+041.59E+03-1.31E+001141051.39E+03-1.51E+04-1.52E+034.02E+001151061.39E+03-1.51E+044.02E+00-1.53E+03115621.32E+03-1.68E+04-1.31E+001.60E+03下面是人群荷载弯矩和剪力包络图：-122- 图3.24主梁人群弯矩包络图（单位：kN▪m）图3.25拱肋人群弯矩包络图（单位：kN▪m）图3.26主梁人群剪力包络图（单位：kN）图3.27拱肋人群剪力包络图（单位：kN）-122- 3.4温度次内力计算按我国《公路钢筋混凝土及预应力混凝土桥梁设计规范》（JTGD62-2004）计算结构的温度次内力。计算结果示于表3.7：表3.7温度次内力单元号节点号轴力(kN)剪力(kN)弯矩(kN)11-9.90E-10-1.46E-114.55E-1212-9.90E-101.46E-11-3.64E-1222-1.11E-097.26E+003.64E-1223-1.11E-09-7.26E+006.90E+0033-2.13E-097.26E+006.90E+0034-2.13E-09-7.26E+002.14E+0144-1.51E-097.26E+002.14E+0145-1.51E-09-7.26E+002.83E+0155-9.90E-107.26E+002.83E+0156-9.90E-10-7.26E+004.29E+0166-1.32E-097.26E+004.29E+0167-1.32E-09-7.26E+006.47E+0177-1.35E-097.26E+006.47E+0178-1.35E-09-7.26E+009.37E+0188-1.21E-097.26E+009.37E+0189-1.21E-09-7.26E+001.16E+0299-1.35E-097.26E+001.16E+02910-1.35E-09-7.26E+001.23E+021010-1.05E-097.26E+001.23E+021011-1.05E-09-7.26E+001.52E+021111-1.08E-097.26E+001.52E+021112-1.08E-09-7.26E+001.74E+021212-1.02E-097.26E+001.74E+021213-1.02E-09-7.26E+001.95E+021313-9.90E-107.26E+001.95E+021314-9.90E-10-7.26E+002.05E+021414-7.86E-107.26E+002.05E+021415-7.86E-10-7.26E+002.21E+021515-9.60E-107.26E+002.21E+021516-9.60E-10-7.26E+002.26E+021616-9.31E-107.26E+002.26E+021617-9.31E-10-7.26E+002.35E+021717-2.24E+01-1.82E+012.08E+021718-2.24E+011.82E+011.86E+0218105-2.24E+01-1.82E+011.68E+02-122- 1819-2.24E+011.82E+011.34E+021919-2.24E+01-1.82E+011.34E+021920-2.24E+011.82E+011.14E+022020-2.24E+01-1.82E+011.14E+022021-2.24E+011.82E+018.48E+012121-2.24E+01-1.82E+018.35E+012122-2.24E+011.82E+017.80E+012222-2.24E+01-1.30E+017.80E+012223-2.24E+011.30E+017.41E+012323-2.24E+01-1.30E+017.54E+012324-2.24E+011.30E+016.72E+012424-2.24E+01-1.30E+016.72E+012425-2.24E+011.30E+013.04E+012525-2.24E+01-1.30E+013.04E+012526-2.24E+011.30E+012.19E+012626-2.24E+01-1.30E+012.05E+012627-2.24E+011.30E+011.66E+012727-2.24E+01-8.94E+001.66E+012728-2.24E+018.94E+001.39E+012828-2.24E+01-8.94E+001.54E+012829-2.24E+018.94E+00-6.80E+002929-2.24E+01-8.94E+00-6.80E+002930-2.24E+018.94E+00-2.10E+013030-2.24E+01-8.94E+00-2.30E+013031-2.24E+018.94E+00-2.56E+013131-2.24E+01-5.20E+00-2.56E+013132-2.24E+015.20E+00-2.72E+013232-2.24E+01-5.20E+00-2.52E+013233-2.24E+015.20E+00-3.32E+013333-2.24E+01-5.20E+00-3.32E+013334-2.24E+015.20E+00-4.67E+013434-2.24E+01-5.20E+00-4.87E+013435-2.24E+015.20E+00-5.02E+013535-2.24E+01-1.72E+00-5.02E+013536-2.24E+011.72E+00-5.08E+013636-2.24E+01-1.72E+00-4.88E+013637-2.24E+011.72E+00-4.97E+013737-2.24E+01-1.72E+00-4.97E+013738-2.24E+011.72E+00-5.46E+013838-2.24E+01-1.72E+00-5.46E+013839-2.24E+011.72E+00-5.58E+013939-2.24E+01-1.72E+00-5.80E+013940-2.24E+011.72E+00-5.85E+01-122- 4040-2.24E+011.72E+00-5.85E+014041-2.24E+01-1.72E+00-5.80E+014141-2.24E+011.72E+00-5.58E+014142-2.24E+01-1.72E+00-5.46E+014242-2.24E+011.72E+00-5.46E+014243-2.24E+01-1.72E+00-4.97E+014343-2.24E+011.72E+00-4.97E+014344-2.24E+01-1.72E+00-4.88E+014444-2.24E+011.72E+00-5.07E+014445-2.24E+01-1.72E+00-5.02E+014545-2.24E+015.21E+00-5.02E+014546-2.24E+01-5.21E+00-4.87E+014646-2.24E+015.21E+00-4.67E+014647-2.24E+01-5.21E+00-3.32E+014747-2.24E+015.21E+00-3.32E+014748-2.24E+01-5.21E+00-2.52E+014848-2.24E+015.21E+00-2.72E+014849-2.24E+01-5.21E+00-2.56E+014949-2.24E+018.95E+00-2.56E+014950-2.24E+01-8.95E+00-2.29E+015050-2.24E+018.95E+00-2.09E+015051-2.24E+01-8.95E+00-6.76E+005151-2.24E+018.95E+00-6.76E+005152-2.24E+01-8.95E+001.54E+015252-2.24E+018.95E+001.39E+015253-2.24E+01-8.95E+001.66E+015353-2.24E+011.30E+011.66E+015354-2.24E+01-1.30E+012.05E+015454-2.24E+011.30E+012.20E+015455-2.24E+01-1.30E+013.04E+015555-2.24E+011.30E+013.04E+015556-2.24E+01-1.30E+016.72E+015656-2.24E+011.30E+016.72E+015657-2.24E+01-1.30E+017.55E+015757-2.24E+011.30E+017.42E+015758-2.24E+01-1.30E+017.81E+015858-2.24E+011.82E+017.81E+015859-2.24E+01-1.82E+018.36E+015959-2.24E+011.82E+018.48E+015960-2.24E+01-1.82E+011.14E+026060-2.24E+011.82E+011.14E+026061-2.24E+01-1.82E+011.34E+026161-2.24E+011.82E+011.34E+02-122- 61106-2.24E+01-1.82E+011.68E+026262-2.24E+011.82E+011.86E+026263-2.24E+01-1.82E+012.09E+0263630.00E+00-7.27E+002.36E+0263640.00E+007.27E+002.26E+0264644.92E-09-7.27E+002.26E+0264654.92E-097.27E+002.21E+0265652.10E-09-7.27E+002.21E+0265662.10E-097.27E+002.05E+0266662.62E-10-7.27E+002.05E+0266672.62E-107.27E+001.96E+0267672.62E-09-7.27E+001.96E+0267682.62E-097.27E+001.74E+0268683.00E-09-7.27E+001.74E+0268693.00E-097.27E+001.52E+0269692.94E-09-7.27E+001.52E+0269702.94E-097.27E+001.23E+0270701.25E-09-7.27E+001.23E+0270711.25E-097.27E+001.16E+0271713.09E-09-7.27E+001.16E+0271723.09E-097.27E+009.38E+0172722.45E-09-7.27E+009.38E+0172732.45E-097.27E+006.47E+0173733.27E-09-7.27E+006.47E+0173743.27E-097.27E+004.29E+0174742.04E-09-7.27E+004.29E+0174752.04E-097.27E+002.83E+0175752.68E-09-7.27E+002.83E+0175762.68E-097.27E+002.14E+017676-3.35E-10-7.27E+002.14E+017677-3.35E-107.27E+006.90E+007777-2.97E-09-7.27E+006.90E+007778-2.97E-097.27E+00-9.10E-1278788.73E-104.37E-11-3.27E-1178798.73E-10-4.37E-110.00E+0079172.89E+01-7.31E-01-6.13E+0079802.89E+017.31E-01-8.18E+0080802.89E+014.57E-01-8.18E+0080812.89E+01-4.57E-01-6.94E+0081812.88E+011.69E+00-6.93E+0081822.88E+01-1.69E+00-2.78E+0082822.88E+012.71E+00-2.78E+0082832.88E+01-2.71E+001.27E+00-122- 83832.59E+01-4.92E-011.27E+0083842.59E+014.92E-01-1.66E-0184842.59E+011.10E+00-1.66E-0184852.59E+01-1.10E+002.93E+0085852.41E+01-9.40E-012.93E+0085862.41E+019.40E-013.57E-0186862.41E+017.37E-013.57E-0186872.41E+01-7.37E-012.32E+0087872.30E+01-1.10E+002.32E+0087882.30E+011.10E+00-5.38E-0188882.30E+013.01E-01-5.38E-0188892.30E+01-3.01E-01-7.59E-0289892.30E+011.20E+00-7.59E-0289902.30E+01-1.20E+001.14E+0090902.25E+01-9.95E-011.14E+0090912.25E+019.95E-01-1.37E+0091912.25E+018.11E-01-1.37E+0091922.25E+01-8.11E-016.62E-0192922.25E+01-8.10E-016.62E-0192932.25E+018.10E-01-1.37E+0093932.25E+019.95E-01-1.37E+0093942.25E+01-9.95E-011.14E+0094942.30E+01-1.20E+001.14E+0094952.30E+011.20E+00-7.53E-0295952.30E+01-3.01E-01-7.53E-0295962.30E+013.01E-01-5.37E-0196962.30E+011.10E+00-5.38E-0196972.30E+01-1.10E+002.32E+0097972.41E+01-7.37E-012.32E+0097982.41E+017.37E-013.58E-0198982.41E+019.40E-013.58E-0198992.41E+01-9.40E-012.93E+0099992.59E+01-1.10E+002.93E+00991002.59E+011.10E+00-1.66E-011001002.59E+014.92E-01-1.66E-011001012.59E+01-4.92E-011.27E+001011012.88E+01-2.71E+001.27E+001011022.88E+012.71E+00-2.78E+001021022.88E+01-1.69E+00-2.78E+001021032.88E+011.69E+00-6.93E+001031032.89E+01-4.57E-01-6.94E+001031042.89E+014.57E-01-8.18E+001041042.89E+017.31E-01-8.18E+00-122- 104632.89E+01-7.31E-01-6.13E+0010583-5.19E+000.00E+000.00E+0010522-5.19E+000.00E+000.00E+0010685-4.08E+000.00E+000.00E+0010627-4.08E+000.00E+000.00E+0010787-3.74E+000.00E+000.00E+0010731-3.74E+000.00E+000.00E+0010890-3.49E+000.00E+000.00E+0010835-3.49E+000.00E+000.00E+0010992-3.44E+000.00E+000.00E+0010940-3.44E+000.00E+000.00E+0011094-3.49E+000.00E+000.00E+0011045-3.49E+000.00E+000.00E+0011197-3.74E+000.00E+000.00E+0011149-3.74E+000.00E+000.00E+0011299-4.08E+000.00E+000.00E+0011253-4.08E+000.00E+000.00E+00113101-5.19E+000.00E+000.00E+0011358-5.19E+000.00E+000.00E+0011418-2.24E+01-1.82E+011.83E+02114105-2.24E+011.82E+011.68E+02115106-2.24E+011.82E+011.68E+0211562-2.24E+01-1.82E+011.84E+02下面是温度次内力剪力和弯矩图：图3.28温度次内力剪力图（单位：kN）-122- 图3.29温度次内力弯矩图（单位：kN▪m）3.5支座沉降次内力的计算在地质情况或其它因素的影响下，当结构在支承处发生已知位移（或称支座强迫位移）时，在结构中会产生变形，对于超静定结构的连续梁结构还会产生内力和强迫支座反力。本设计中考虑边支座下降0.5cm,主墩支座下降1cm。现将基础沉降次内力计算结果列于表3.7。图3.30基础沉降图示（单位：mm）表3.7沉降次内力单元号节点号剪力(kN)弯矩(kN.m)单元号节点号剪力(kN)弯矩(kN.m)110.00E+000.00E+0058594.40E+00-5.96E+02120.00E+00-1.12E-085959-4.40E+00-5.89E+02221.20E+02-6.52E-0959604.40E+00-6.07E+0223-1.20E+021.14E+026060-4.40E+00-6.07E+02331.20E+021.14E+0260614.40E+00-6.20E+0234-1.20E+023.55E+026161-4.40E+00-6.20E+02441.20E+023.55E+02611064.40E+00-6.44E+0245-1.20E+024.70E+026262-4.40E+00-6.55E+02551.20E+024.70E+0262634.40E+00-6.61E+0256-1.20E+027.10E+0263639.57E+00-3.10E+02661.20E+027.10E+026364-9.57E+00-2.98E+02-122- 67-1.20E+021.07E+0364649.57E+00-2.98E+02771.20E+021.07E+036465-9.57E+00-2.91E+0278-1.20E+021.55E+0365659.57E+00-2.91E+02881.20E+021.55E+036566-9.57E+00-2.70E+0289-1.20E+021.92E+0366669.57E+00-2.70E+02991.20E+021.92E+036667-9.57E+00-2.57E+02910-1.20E+022.03E+0367679.57E+00-2.57E+0210101.20E+022.03E+036768-9.57E+00-2.29E+021011-1.20E+022.52E+0368689.57E+00-2.29E+0211111.20E+022.52E+036869-9.57E+00-2.00E+021112-1.20E+022.88E+0369699.57E+00-2.00E+0212121.20E+022.88E+036970-9.57E+00-1.62E+021213-1.20E+023.24E+0370709.57E+00-1.62E+0213131.20E+023.24E+037071-9.57E+00-1.52E+021314-1.20E+023.39E+0371719.57E+00-1.52E+0214141.20E+023.39E+037172-9.57E+00-1.23E+021415-1.20E+023.66E+0372729.57E+00-1.23E+0215151.20E+023.66E+037273-9.57E+00-8.52E+011516-1.20E+023.75E+0373739.57E+00-8.52E+0116161.20E+023.75E+037374-9.57E+00-5.65E+011617-1.20E+023.90E+0374749.57E+00-5.65E+011717-1.45E+023.49E+037475-9.57E+00-3.73E+0117181.45E+023.31E+0375759.57E+00-3.73E+0118105-1.45E+023.16E+037576-9.57E+00-2.82E+0118191.45E+022.89E+0376769.57E+00-2.82E+011919-1.45E+022.89E+037677-9.57E+00-9.09E+0019201.45E+022.72E+0377779.57E+00-9.09E+002020-1.45E+022.72E+037778-9.57E+004.55E-1220211.45E+022.48E+0378780.00E+003.64E-122121-1.45E+022.48E+0378790.00E+001.82E-1221221.45E+022.43E+037917-2.67E+012.31E+022222-1.39E+022.43E+0379802.67E+011.57E+0222231.39E+022.39E+038080-2.10E+011.57E+022323-1.39E+022.40E+0380812.10E+019.98E+0123241.39E+022.31E+038181-1.51E+019.99E+012424-1.39E+022.31E+0381821.51E+016.26E+0124251.39E+021.90E+038282-1.02E+016.26E+012525-1.39E+021.90E+0382831.02E+014.74E+0125261.39E+021.81E+038383-9.52E+004.74E+012626-1.39E+021.80E+0383849.52E+001.96E+0126271.39E+021.76E+038484-1.15E+001.96E+012727-1.24E+021.76E+0384851.15E+001.63E+0127281.24E+021.72E+038585-5.71E+001.63E+01-122- 2828-1.24E+021.73E+0385865.71E+006.87E-0128291.24E+021.40E+0386863.36E+006.87E-012929-1.24E+021.40E+038687-3.36E+009.63E+0029301.24E+021.20E+038787-5.35E+009.62E+003030-1.24E+021.19E+0387885.35E+00-4.27E+0030311.24E+021.15E+0388882.25E+00-4.27E+003131-1.05E+021.15E+038889-2.25E+00-8.11E-0131321.05E+021.12E+0389897.11E+00-8.11E-013232-1.05E+021.13E+038990-7.11E+006.41E+0032331.05E+029.53E+029090-6.10E+006.41E+003333-1.05E+029.53E+0290916.10E+00-8.94E+0033341.05E+026.71E+0291913.68E+00-8.95E+003434-1.05E+026.61E+029192-3.68E+002.74E-0134351.05E+026.29E+029292-6.56E+002.74E-013535-8.52E+016.29E+0292936.56E+00-1.61E+0135368.52E+016.04E+0293933.24E+00-1.61E+013636-8.52E+016.14E+029394-3.24E+00-7.96E+0036378.52E+015.56E+029494-9.08E+00-7.96E+003737-8.52E+015.56E+0294959.08E+00-1.72E+0137388.52E+013.02E+029595-4.21E+00-1.72E+013838-8.52E+013.02E+0295964.21E+00-2.36E+0138398.52E+012.42E+0296963.42E+00-2.36E+013939-8.52E+012.31E+029697-3.42E+00-1.48E+0139408.52E+012.05E+029797-4.31E+00-1.47E+014040-6.51E+012.05E+0297984.31E+00-2.62E+0140416.51E+011.86E+0298984.79E+00-2.62E+014141-6.51E+011.97E+029899-4.79E+00-1.31E+0141426.51E+011.52E+0299991.48E-01-1.31E+014242-6.51E+011.52E+0299100-1.48E-01-1.27E+0142436.51E+01-4.45E+011001008.55E+00-1.27E+014343-6.51E+01-4.45E+01100101-8.55E+001.23E+0143446.51E+01-9.19E+011011017.43E+001.23E+014444-6.51E+01-1.03E+02101102-7.43E+002.34E+0144456.51E+01-1.22E+021021021.24E+012.34E+014545-4.57E+01-1.22E+02102103-1.24E+015.40E+0145464.57E+01-1.36E+021031031.84E+015.40E+014646-4.57E+01-1.25E+02103104-1.84E+011.04E+0246474.57E+01-2.52E+021041042.42E+011.04E+024747-4.57E+01-2.52E+0210463-2.42E+011.71E+0247484.57E+01-3.34E+02105830.00E+000.00E+004848-4.57E+01-3.44E+02105220.00E+000.00E+0048494.57E+01-3.58E+02106850.00E+000.00E+004949-2.77E+01-3.58E+02106270.00E+000.00E+00-122- 49502.77E+01-3.67E+02107870.00E+000.00E+005050-2.77E+01-3.56E+02107310.00E+000.00E+0050512.77E+01-4.08E+02108900.00E+000.00E+005151-2.77E+01-4.08E+02108350.00E+000.00E+0051522.77E+01-4.94E+02109920.00E+000.00E+005252-2.77E+01-5.02E+02109400.00E+000.00E+0052532.77E+01-5.10E+02110940.00E+000.00E+005353-1.28E+01-5.10E+02110450.00E+000.00E+0053541.28E+01-5.14E+02111970.00E+000.00E+005454-1.28E+01-5.06E+02111490.00E+000.00E+0054551.28E+01-5.19E+02112990.00E+000.00E+005555-1.28E+01-5.19E+02112530.00E+000.00E+0055561.28E+01-5.70E+021131010.00E+000.00E+005656-1.28E+01-5.70E+02113580.00E+000.00E+0056571.28E+01-5.84E+0211418-1.45E+023.30E+035757-1.28E+01-5.91E+021141051.45E+023.16E+0357581.28E+01-5.94E+02115106-4.40E+00-6.44E+025858-4.40E+00-5.94E+02115624.40E+00-6.68E+02下面是基础沉降次内力弯矩和剪力图：图3.31基础沉降次内力弯矩图(kN·m)-122- 图3.32基础沉降次内力剪力图（kN）3.6内力组合桥梁结构按极限状态法设计时，分为两种极限状态，即正常使用极限状态和承载能力极限状态。按正常使用极限状态进行荷载组合时，不计荷载系数，即：作用短期效应组合：………………………………（3-1）作用长期效应组合：……………………………………（3-2）——作用短期效应组合设计值；——第j个可变作用效应的频率值系数；——第j个可变作用效应的频率值；——作用短期效应组合设计值；——第j个可变作用效应的准永久值系数；——第j个可变作用效应的准永久值；按承载能力极限状态计算(不考虑偶然组合)：基本组合：或…………………………………（3-3）-122- ——结构重要系数，查表可得；——承载能力极限状态下作用的效应组合设计值；——第i个永久作用效应的分项系数，查表可得；——第i个永久作用效应的标准值；——汽车荷载效应（含汽车冲击力、离心力）的分项系数，取=1.4；——汽车荷载效应（含汽车冲击力、离心力）的标准值；——在作用效应组合中除汽车荷载效应（含汽车冲击力、离心力）、风荷载外的其他第j个可变作用效应的分项系数；——在作用效应组合中除汽车荷载效应（含汽车冲击力、离心力）、风荷载外的其他第j个可变作用效应的标准值；——在作用效应组合中除汽车荷载效应（含汽车冲击力、离心力）外的其他可变作用效应的组合系数；为进行预应力钢束的计算，在不考虑桥规预加应力引起的结构次内力及混凝土收缩徐变次内力的前提下，按《桥规》（JTGD60-2004）第4.1.6，4.1.7条规定，根据可能出现的作用荷载选择了荷载组合Ⅰ、Ⅱ进行第一次组合，表3.8给出了承载能力极限状态和正常使用极限状态的最不利荷载组合结果。表3.8内力最不利组合截面号项目基本组合Sd短期组合Ss长期组合SlMdVdMsVsMlVl（kN·M）（kN）（kN·M）（kN）（kN·M）（kN）1最大弯矩000000最大剪力0000002最大弯矩-1395.01E+03-1264.55E+03-1264.55E+03最大剪力-1769.49E+03-1316.37E+03-1295.74E+033最大弯矩7.90E+038.35E+035.35E+035.54E+034.83E+034.92E+03最大剪力7.83E+038.28E+035.36E+035.56E+034.86E+034.95E+034最大弯矩2.15E+046.51E+031.46E+044.25E+031.31E+043.70E+03-122- 最大剪力2.12E+046.45E+031.46E+044.26E+031.32E+043.72E+035最大弯矩2.67E+045.72E+031.80E+043.70E+031.62E+043.18E+03最大剪力2.62E+045.67E+031.81E+043.71E+031.64E+043.20E+036最大弯矩3.49E+044.07E+032.36E+042.56E+032.11E+042.11E+03最大剪力3.39E+044.05E+032.38E+042.56E+032.15E+042.11E+037最大弯矩4.06E+041.60E+032.74E+048402.42E+04487最大剪力3.51E+041.73E+032.66E+048642.38E+045018最大弯矩3.61E+04-1.67E+032.42E+04-1.45E+032.07E+04-1.68E+03最大剪力3.10E+04-9832.30E+04-1.37E+032.01E+04-1.64E+039最大弯矩2.36E+04-4.20E+031.55E+04-3.23E+031.22E+04-3.38E+03最大剪力2.09E+04-3.00E+031.45E+04-3.08E+031.16E+04-3.29E+0310最大弯矩1.83E+04-4.06E+031.15E+04-3.83E+038.28E+03-3.94E+03最大剪力1.63E+04-3.68E+031.06E+04-3.65E+037.73E+03-3.84E+0311最大弯矩-8.68E+03-7.06E+03-1.09E+04-6.32E+03-1.35E+04-6.34E+03最大剪力-1.01E+04-6.50E+03-1.16E+04-6.06E+03-1.39E+04-6.19E+0312最大弯矩-3.67E+04-9.18E+03-3.44E+04-8.18E+03-3.62E+04-8.17E+03最大剪力-3.68E+04-8.67E+03-3.44E+04-7.95E+03-3.62E+04-8.04E+0313最大弯矩-7.05E+04-1.38E+04-6.30E+04-9.37E+03-6.42E+04-8.86E+03最大剪力-7.03E+04-1.09E+04-6.30E+04-9.93E+03-6.43E+04-9.98E+0314最大弯矩-8.69E+04-1.22E+04-7.72E+04-1.08E+04-7.81E+04-1.08E+04最大剪力-8.68E+04-1.19E+04-7.72E+04-1.08E+04-7.82E+04-1.09E+0415最大弯矩-1.18E+05-1.66E+04-1.04E+05-1.19E+04-1.05E+05-1.13E+04最大剪力-1.18E+05-1.38E+04-1.04E+05-1.24E+04-1.05E+05-1.24E+0416最大弯矩-1.29E+05-1.73E+04-1.14E+05-1.43E+04-1.14E+05-1.38E+04最大剪力-1.30E+05-1.44E+04-1.14E+05-1.30E+04-1.15E+05-1.31E+0417最大弯矩-1.57E+051.48E+04-1.39E+051.33E+04-1.40E+051.33E+04最大剪力-2.22E+052.23E+04-1.71E+051.60E+04-1.68E+051.52E+0418最大弯矩-1.25E+051.48E+04-1.11E+051.21E+04-1.12E+051.16E+04最大剪力-1.79E+051.88E+04-1.39E+051.34E+04-1.37E+051.27E+0419最大弯矩-9.97E+041.31E+04-8.91E+041.06E+04-9.01E+041.01E+04最大剪力-1.46E+051.67E+04-1.14E+051.19E+04-1.13E+051.12E+0420最大弯矩-8.58E+049.61E+03-7.72E+048.63E+03-7.85E+048.66E+03最大剪力-1.28E+051.55E+04-1.01E+051.10E+04-1.00E+051.04E+0421最大弯矩-6.88E+048.36E+03-6.25E+047.27E+03-6.40E+047.30E+03最大剪力-1.05E+051.39E+04-8.42E+049.85E+03-8.39E+049.25E+0322最大弯矩-6.59E+048.83E+03-6.02E+047.96E+03-6.18E+047.99E+03最大剪力-1.02E+051.45E+04-8.16E+041.03E+04-8.13E+049.70E+0323最大弯矩-6.28E+041.10E+04-5.74E+046.95E+03-5.91E+046.50E+03最大剪力-9.73E+041.40E+04-7.84E+049.98E+03-7.82E+049.38E+0324最大弯矩-5.58E+047.95E+03-5.16E+047.18E+03-5.33E+047.23E+03最大剪力-8.85E+041.34E+04-7.18E+049.50E+03-7.18E+048.92E+0325最大弯矩-3.13E+045.75E+03-3.08E+045.28E+03-3.30E+045.38E+03最大剪力-5.65E+041.07E+04-4.79E+047.55E+03-4.85E+047.04E+03-122- 26最大弯矩-2.72E+045.27E+03-2.72E+044.86E+03-2.94E+044.96E+03最大剪力-5.07E+041.01E+04-4.35E+047.11E+03-4.43E+046.61E+0327最大弯矩-2.51E+045.94E+03-2.56E+045.44E+03-2.79E+045.54E+03最大剪力-4.83E+041.09E+04-4.16E+047.71E+03-4.25E+047.19E+0328最大弯矩-2.28E+048.14E+03-2.35E+046.31E+03-2.58E+045.91E+03最大剪力-4.49E+041.05E+04-3.92E+047.42E+03-4.01E+046.90E+0329最大弯矩-6.44E+033.73E+03-9.78E+033.55E+03-1.24E+043.70E+03最大剪力-2.34E+048.22E+03-2.29E+045.77E+03-2.42E+045.31E+0330最大弯矩2242.58E+03-4.11E+032.57E+03-6.73E+032.75E+03最大剪力-1.39E+046.83E+03-1.55E+044.77E+03-1.70E+044.35E+0331最大弯矩1.45E+033.41E+03-3.15E+033.26E+03-5.81E+033.41E+03最大剪力-1.24E+047.84E+03-1.43E+045.47E+03-1.59E+045.01E+0332最大弯矩3.23E+035.64E+03-1.57E+034.15E+03-4.22E+033.81E+03最大剪力-9.79E+037.47E+03-1.24E+045.20E+03-1.40E+044.75E+0333最大弯矩9.95E+031.99E+033.92E+032.05E+031.14E+032.24E+03最大剪力-7216.13E+03-5.36E+034.25E+03-7.18E+033.83E+0334最大弯矩1.53E+042528.36E+035955.59E+03829最大剪力8.00E+034.09E+031.65E+032.78E+03-3272.42E+0335最大弯矩1.59E+041.22E+038.74E+031.36E+035.94E+031.55E+03最大剪力8.70E+035.17E+032.23E+033.53E+032393.12E+0336最大弯矩1.72E+043.89E+039.78E+032.26E+036.99E+031.97E+03最大剪力1.05E+044.83E+033.62E+033.27E+031.58E+032.88E+0337最大弯矩1.92E+048601.10E+047498.14E+03953最大剪力1.28E+044.31E+035.39E+032.90E+033.29E+032.52E+0338最大弯矩2.24E+04-1.18E+031.28E+04-5079.92E+03-249最大剪力1.77E+042.05E+039.55E+031.28E+037.31E+0395239最大弯矩2.12E+048241.20E+042669.16E+0343.8最大剪力1.60E+041.58E+039.19E+039016.95E+0358840最大弯矩2.08E+042.04E+031.19E+04-5109.16E+03-786最大剪力1.76E+042.64E+039.82E+031.67E+037.57E+031.32E+0341最大弯矩2.22E+04-8261.27E+04-2689.84E+03-45.6最大剪力1.88E+042.30E+031.07E+041.42E+038.45E+031.07E+0342最大弯矩2.22E+04-1.35E+031.27E+04-6459.87E+03-410最大剪力1.81E+041.80E+031.11E+041.04E+038.81E+0371043最大弯矩1.92E+04-3.42E+031.10E+04-1.91E+038.14E+03-1.62E+03最大剪力1.61E+04-1209.76E+03-5727.39E+03-85144最大弯矩1.65E+04-1.37E+039.22E+03-1.12E+036.43E+03-1.31E+03最大剪力1.41E+04-5618.09E+03-9455.73E+03-1.21E+0345最大弯矩1.56E+04-2.47E+038.63E+03-1.49E+035.88E+03-1.24E+03最大剪力1.35E+043607.59E+03-1935.23E+03-49346最大弯矩1.60E+04-2.77E+038.95E+03-1.74E+036.16E+03-1.48E+03最大剪力1.38E+0469.47.90E+03-4445.52E+03-73847最大弯矩9.76E+03-2.01E+033.83E+03-2.06E+031.08E+03-2.24E+03-122- 最大剪力7.75E+03-1.66E+032.89E+03-1.90E+03508-2.14E+0348最大弯矩2.54E+03-3.13E+03-2.17E+03-3.01E+03-4.81E+03-3.16E+03最大剪力740-2.77E+03-3.01E+03-2.84E+03-5.32E+03-3.06E+0349最大弯矩1.37E+03-4.79E+03-3.19E+03-3.46E+03-5.85E+03-3.14E+03最大剪力-524-1.95E+03-4.08E+03-2.16E+03-6.38E+03-2.39E+0350最大弯矩974-5.10E+03-3.50E+03-3.72E+03-6.15E+03-3.40E+03最大剪力-860-2.26E+03-4.35E+03-2.42E+03-6.66E+03-2.65E+0351最大弯矩-6.55E+03-3.74E+03-9.83E+03-3.56E+03-1.24E+04-3.70E+03最大剪力-8.25E+03-3.42E+03-1.06E+04-3.40E+03-1.28E+04-3.61E+0352最大弯矩-2.32E+04-5.62E+03-2.39E+04-5.16E+03-2.62E+04-5.26E+03最大剪力-2.45E+04-5.30E+03-2.45E+04-5.02E+03-2.66E+04-5.18E+0353最大弯矩-2.53E+04-4.92E+03-2.57E+04-4.57E+03-2.79E+04-4.68E+03最大剪力-2.62E+04-4.59E+03-2.61E+04-4.42E+03-2.82E+04-4.59E+0354最大弯矩-2.67E+04-5.26E+03-2.68E+04-4.86E+03-2.90E+04-4.96E+03最大剪力-2.75E+04-4.92E+03-2.72E+04-4.71E+03-2.92E+04-4.87E+0355最大弯矩-3.14E+04-5.75E+03-3.08E+04-5.29E+03-3.30E+04-5.38E+03最大剪力-3.22E+04-5.43E+03-3.12E+04-5.14E+03-3.32E+04-5.29E+0356最大弯矩-5.58E+04-1.05E+04-5.16E+04-8.34E+03-5.34E+04-7.90E+03最大剪力-5.61E+04-7.64E+03-5.17E+04-7.04E+03-5.35E+04-7.15E+0357最大弯矩-6.30E+04-1.10E+04-5.78E+04-8.80E+03-5.94E+04-8.34E+03最大剪力-6.32E+04-8.17E+03-5.78E+04-7.50E+03-5.95E+04-7.60E+0358最大弯矩-6.61E+04-8.00E+03-6.02E+04-6.95E+03-6.18E+04-6.98E+03最大剪力-6.59E+04-7.60E+03-6.02E+04-7.02E+03-6.18E+04-7.14E+0359最大弯矩-6.84E+04-1.09E+04-6.22E+04-6.78E+03-6.37E+04-6.33E+03最大剪力-6.83E+04-7.97E+03-6.22E+04-7.35E+03-6.38E+04-7.46E+0360最大弯矩-8.60E+04-9.63E+03-7.74E+04-8.64E+03-7.86E+04-8.66E+03最大剪力-8.61E+04-9.32E+03-7.74E+04-8.50E+03-7.86E+04-8.58E+0361最大弯矩-9.98E+04-1.31E+04-8.92E+04-1.06E+04-9.02E+04-1.01E+04最大剪力-9.99E+04-1.03E+04-8.92E+04-9.33E+03-9.02E+04-9.40E+0362最大弯矩-1.39E+05-1.31E+04-1.24E+05-1.18E+04-1.24E+05-1.17E+04最大剪力-1.41E+05-1.30E+04-1.24E+05-1.17E+04-1.24E+05-1.17E+0463最大弯矩-1.49E+051.62E+04-1.32E+051.47E+04-1.32E+051.47E+04最大剪力-2.11E+052.40E+04-1.63E+051.72E+04-1.60E+051.64E+0464最大弯矩-1.29E+051.73E+04-1.14E+051.43E+04-1.14E+051.38E+04最大剪力-1.84E+052.17E+04-1.43E+051.55E+04-1.41E+051.48E+0465最大弯矩-1.18E+051.66E+04-1.04E+051.19E+04-1.05E+051.13E+04最大剪力-1.69E+052.08E+04-1.32E+051.49E+04-1.30E+051.42E+0466最大弯矩-8.70E+041.22E+04-7.72E+041.08E+04-7.82E+041.08E+04最大剪力-1.29E+051.86E+04-1.03E+051.32E+04-1.02E+051.26E+0467最大弯矩-7.04E+041.12E+04-6.31E+049.88E+03-6.43E+049.87E+03最大剪力-1.08E+051.73E+04-8.71E+041.23E+04-8.66E+041.17E+0468最大弯矩-3.66E+049.16E+03-3.43E+048.17E+03-3.62E+048.16E+03最大剪力-6.51E+041.45E+04-5.54E+041.03E+04-5.58E+049.69E+03-122- 69最大弯矩-8.62E+037.05E+03-1.09E+046.32E+03-1.35E+046.34E+03最大剪力-3.04E+041.18E+04-2.96E+048.33E+03-3.08E+047.80E+0370最大弯矩1.84E+044.05E+031.15E+043.82E+038.27E+033.94E+03最大剪力3.42E+038.35E+03-4.16E+035.87E+03-6.04E+035.43E+0371最大弯矩2.37E+046.74E+031.55E+044.39E+031.21E+044.04E+03最大剪力9.60E+037.53E+035615.29E+03-1.42E+034.87E+0372最大弯矩3.61E+041.66E+032.42E+041.45E+032.07E+041.68E+03最大剪力2.36E+045.08E+031.16E+043.54E+039.44E+033.19E+0373最大弯矩4.06E+04-1.62E+032.74E+04-8452.42E+04-489最大剪力3.06E+041.93E+031.81E+041.30E+031.61E+041.05E+0374最大弯矩3.50E+04-4.08E+032.36E+04-2.56E+032.11E+04-2.11E+03最大剪力2.41E+04-1401.71E+04-3501.55E+04-52875最大弯矩2.67E+04-5.73E+031.81E+04-3.71E+031.62E+04-3.19E+03最大剪力1.87E+04-1.47E+031.35E+04-1.45E+031.24E+04-1.58E+0376最大弯矩2.15E+04-3.97E+031.45E+04-3.09E+031.31E+04-3.04E+03最大剪力9.19E+03-2.07E+038.38E+03-1.96E+038.64E+03-2.07E+0377最大弯矩7.86E+03-8.28E+035.33E+03-5.51E+034.82E+03-4.90E+03最大剪力3.52E+03-3.33E+033.23E+03-3.09E+033.32E+03-3.21E+0378最大弯矩-139506-126460-126460最大剪力-2513.93E+03-1.05E+031.97E+03-1.03E+031.32E+0379最大弯矩1.36E+03-488411-307-26.5-237最大剪力-2.96E+03138-2.50E+0398.5-2.26E+0365.780最大弯矩-246-257-705-132-966-79.9最大剪力-3.33E+03229-2.57E+03179-2.40E+0315481最大弯矩-1.19E+03-16.6-1.32E+0350-1.45E+0383.7最大剪力-3.12E+03345-2.39E+03265-2.28E+0324782最大弯矩-1.29E+03305-1.27E+03317-1.33E+03335最大剪力-2.41E+03578-1.83E+03440-1.77E+0342883最大弯矩-828-65.3-806-24.7-845-9.47最大剪力-1.60E+03106-1.21E+0382.8-1.17E+0371.184最大弯矩-1.06E+03426-952383-965381最大剪力-1.53E+03537-1.18E+03400-1.16E+0339585最大弯矩26.8-20.914.8-7.7-5.8-3.5最大剪力-20948.6-14738.3-13731.486最大弯矩-95.4413-97.8379-121382最大剪力-506614-349443-31742587最大弯矩1.09E+03-112821-74.1793-66.9最大剪力737-18.4684-22.5687-28.688最大弯矩713313546236524239最大剪力42341933529835628489最大弯矩1.15E+03674874473854456最大剪力1.00E+0377174754874751890最大弯矩1.82E+03-2341.35E+03-1601.31E+03-148-122- 最大剪力1.32E+03-93.81.21E+03-92.11.21E+03-98.891最大弯矩1.15E+03356876264858269最大剪力98549773635474133592最大弯矩2.07E+03-3691.51E+03-2581.46E+03-240最大剪力1.55E+03-1761.41E+03-1671.41E+03-17493最大弯矩1.15E+03265876193857195最大剪力1.01E+0337074826474725094最大弯矩1.82E+03-6611.35E+03-4591.31E+03-437最大剪力1.36E+03-3871.23E+03-3621.22E+03-37295最大弯矩1.15E+03-296873-207853-200最大剪力943-190841-177827-18296最大弯矩711172544132522136最大剪力49625236718137317197最大弯矩1.08E+03-447818-319790-309最大剪力801-296711-273702-27898最大弯矩-97.781.4-99.880.6-12384.1最大剪力-579187-383131-33712099最大弯矩25.6-33913.7-299-6.86-296最大剪力-98.5-317-56.8-288-56.8-288100最大弯矩-1.06E+0392.2-95272.6-96669.1最大剪力-1.54E+03225-1.12E+03147-1.10E+03125101最大弯矩-827-298-805-294-844-305最大剪力-871-247-839-260-872-278102最大弯矩-1.29E+0384.7-1.27E+031.18-1.33E+03-32.5最大剪力-1.29E+0396.5-1.27E+0322.5-1.33E+03-11.1103最大弯矩-1.19E+03494-1.32E+03347-1.45E+03295最大剪力-1.60E+03532-1.32E+03347-1.45E+03295104最大弯矩-244725-703521-964452最大剪力-632791-722523-983453图3.29～3.34是荷载组合剪力、弯矩、轴力包络图：图3.29承载能力极限状态荷载组合Ⅰ弯矩包络图（单位：kN▪m）-122- 图3.30承载能力极限状态荷载组合Ⅰ剪力包络图（单位：kN）图3.31承载能力极限状态荷载组合Ⅰ轴力包络图（单位：kN）图3.32正常使用极限状态荷载组合Ⅰ弯矩包络图（单位：kN▪m）图3.33正常使用极限状态荷载组合Ⅰ剪力包络图（单位：kN）-122- 图3.34正常使用极限状态荷载组合Ⅰ剪力包络图（单位：kN）-122- 第四章预应力钢束估算与布置以及吊杆张拉力的确定4.1钢束估算原理钢束估算的原理与方法：根据《桥规》规定，预应力梁应按使用阶段的应力要求和承载能力极限状态的强度要求来估算钢束数量。4.1.1按正常使用极限状态的应力要求计算预应力混凝土梁在预加力和使用荷载作用下的应力状态应满足的基本条件是：截面上、下缘均不产生拉应力，且上、下缘的混凝土均不被压碎。即：……………………………………………（4-1）………………………………………………（4-2）……………………………………（4-3）……………………………………（4-4）——由预加应力在截面上缘和下缘产生的应力；——分别为截面上、下缘的抗弯模量；——荷载最不利组合时计算截面内力，当为正弯矩时取正值，当为负弯矩时为负值；——混凝土弯压应力限值，在此可取=0.5，为混凝土轴心抗压标准强度。根据截面受力情况，其配筋有三种形式：截面上、下缘均布置力筋以抵抗正、负弯矩；仅在截面下缘布力筋以抵抗正弯矩或仅在下缘配置力筋以抵抗负弯矩。（1）截面上、下缘均布置预应力筋由预应力筋在截面上、下缘产生的应力分别为：………………………（4-5）-122- ………………………（4-6）由公式：………………………………（4-7）………………………………（4-8）将式（4-7）、（4-8）分别代入式（4-5）、（4-6），解联立方程式后可得：…………（4-9）…………（4-10）式中：———分别为上缘的预应力钢筋重心及下缘的预应力钢筋重心距截面重心的距离；A————混凝土截面面积，可按毛截面计算；——截面上缘和下缘预应力钢筋的数目；——分别为截面上、下缘核心距；————每束预应力筋的截面积；————预应力钢筋的永存应力。估算力筋的数量时可取，其s中为预应力钢筋的标准强度；将式（4-1）、式（4-2）分别代入式（4-9）、式（4-10）便可求出按截面上、下缘不出现拉应力所需要的预应力钢筋数目，显然，该值为截面的最小配筋值，分别记为、，则有……(4-11)……(4-12)式中：NSmin，NXmin分别为上、下不出现拉应力的所需的最小配筋数目。同理将式（3-1-3）、式（3-1-4）分别代入式（3-1-9）、式（3-1-10）可得NSmax，-122- NXmax，分别为上下缘混凝土不致压碎所需的预应力钢筋的最大配筋值。（2）只在截面下缘布置预应力筋当截面上缘不出现拉应力时截面下缘所需的预应力钢筋数量为：…………………………(4-13)（3）仅在上缘布置预应力筋当截面上缘不出现拉应力时截面上缘所需的预应力钢筋数量为：…………………………(4-14)（4）上、下缘配筋的判别条件只在下缘配筋的条件：……………………（4-15）只在上缘布筋的条件：…………………………（4-16）若以上两个公式均不满足，则应在截面上、下缘同时布置预应力筋。4.1.2按承载能力极限状态的强度要求计算预应力梁达到受弯极限状态时，受压区混凝土应力达到混凝土抗压设计强度，受拉区钢筋达到抗拉设计强度。截面的安全性是通过计算截面抗弯安全系数来保证的。在初步估算预应力钢筋数量时，T形或箱形截面，当中性轴位于受压区翼缘内，可按矩形截面来计算，但是当忽略实际上存在的双筋影响时（受拉区、受压区都有预应力筋）计算结果偏小但作为力筋估算是允许的。∑X=0………………………………………（4-17）∑M=0………………………………（4-18）由两式求得将其代入前式，则有或　……………………（4-19）-122- 式中：——预应力钢筋数目；——混凝土抗压设计强度,=32.5MPa；——预应力钢筋的抗拉设计强度,Ry=1860MPa；——混凝土安全系数,=1.25——截面有效高度；——腹板宽度。4.2钢束估算由正常使用阶段极限状态内力组合（一）的结果，采用桥梁博士进行钢束估算，现将钢束估算结果列于表4.1。表4.1钢束估算结果正常使用极限状态组合估算配筋面积承载能力极限状态组合估算配筋面积单元号节点号上缘下缘单元号节点号上缘下缘配筋面积配筋面积配筋面积配筋面积111.00E-041.00E-04110022.00E-04028.18E-050222.00E-040228.18E-050303.50E-03302.58E-033303.30E-033302.58E-03408.20E-03406.92E-034408.20E-034406.92E-03501.02E-02508.51E-035501.02E-025508.51E-03601.31E-02601.09E-026601.31E-026601.09E-02701.46E-02701.20E-027701.46E-027701.20E-02801.12E-02808.55E-038801.12E-028808.55E-0395.10E-036.30E-0394.65E-042.85E-03995.10E-036.30E-03994.65E-042.85E-03107.60E-034.50E-03102.66E-037.67E-0410107.60E-034.50E-0310102.66E-037.67E-04-122- 112.00E-020111.44E-02011112.00E-02011111.44E-020123.16E-020122.46E-02012123.16E-02012122.46E-020134.31E-020133.54E-02013134.31E-02013133.54E-020144.77E-020144.03E-02014144.77E-02014144.03E-020155.79E-020154.87E-02015155.79E-02015154.87E-020166.10E-020165.10E-02016166.80E-02016165.10E-020177.70E-020175.83E-02017178.25E-02017176.16E-020187.43E-020185.49E-020181056.29E-020181055.24E-020195.55E-020194.89E-02019195.55E-02019194.89E-020205.20E-020204.55E-02020205.20E-02020204.55E-020214.72E-020214.08E-02021215.22E-02021214.08E-020225.07E-020223.96E-02022225.07E-02022223.96E-020234.91E-020233.84E-02023234.44E-02023233.84E-020244.26E-020243.65E-02024244.26E-02024243.65E-020253.28E-020252.79E-02025253.28E-02025252.79E-020263.10E-020262.62E-02026263.37E-02026262.62E-020273.24E-020272.53E-02027273.24E-02027272.53E-020283.11E-020282.43E-02028282.87E-02028282.43E-020292.06E-020291.74E-02029292.06E-02029291.74E-020301.60E-020301.38E-02030301.73E-028.00E-0430301.38E-020311.66E-021.20E-03311.32E-02031311.66E-021.20E-0331311.32E-020321.58E-021.60E-03321.24E-020-122- 32321.42E-02032321.24E-020331.07E-022.50E-03338.98E-03033331.07E-022.50E-0333338.98E-030346.20E-034.90E-03344.80E-033.23E-0334347.30E-036.00E-0334344.80E-033.23E-03356.90E-036.10E-03354.47E-033.52E-0335356.90E-036.10E-0335354.47E-033.52E-03366.30E-036.30E-03363.43E-034.28E-0336365.30E-035.30E-0336363.43E-034.28E-03374.40E-035.80E-03372.58E-035.13E-0337374.40E-035.80E-0337372.58E-035.13E-03381.60E-036.50E-03385.89E-046.82E-0338381.60E-036.50E-0338385.89E-046.82E-03391.60E-036.50E-03396.05E-046.82E-0339392.00E-036.80E-0339396.05E-046.82E-03402.00E-036.70E-03406.64E-046.75E-0340402.00E-036.70E-0340406.64E-046.75E-03412.00E-036.80E-03416.05E-046.82E-0341411.60E-036.50E-0341416.05E-046.82E-03421.60E-036.50E-03425.90E-046.82E-0342421.60E-036.50E-0342425.90E-046.82E-03434.40E-035.80E-03432.58E-035.13E-0343434.40E-035.80E-0343432.58E-035.13E-03445.30E-035.30E-03443.43E-034.27E-0344446.30E-036.30E-0344443.43E-034.27E-03456.90E-036.10E-03454.47E-033.51E-0345456.90E-036.10E-0345454.47E-033.51E-03467.30E-036.00E-03464.81E-033.22E-0346466.20E-034.90E-0346464.81E-033.22E-03471.07E-022.50E-03478.99E-03047471.07E-022.50E-0347478.99E-030481.43E-020481.25E-02048481.58E-021.60E-0348481.25E-020491.66E-021.10E-03491.32E-02049491.66E-021.10E-0349491.32E-020501.73E-028.00E-04501.38E-02050501.60E-02050501.38E-020512.06E-020511.74E-02051512.06E-02051511.74E-020522.87E-020522.43E-02052523.11E-02052522.43E-020533.24E-020532.53E-02053533.24E-02053532.53E-020-122- 543.37E-020542.63E-02054543.10E-02054542.63E-020553.29E-020552.80E-02055553.29E-02055552.80E-020564.26E-020563.66E-02056564.26E-02056563.66E-020574.45E-020573.84E-02057574.91E-02057573.84E-020585.07E-020583.96E-02058585.07E-02058583.96E-020595.22E-020594.08E-02059594.72E-02059594.08E-020605.20E-020604.55E-02060605.20E-02060604.55E-020615.55E-020614.89E-02061615.55E-02061614.89E-0201066.30E-0201065.24E-02062627.43E-02062625.49E-020638.26E-020636.16E-02063637.70E-02063635.83E-020646.80E-020645.10E-02064646.10E-02064645.10E-020655.79E-020654.88E-02065655.79E-02065654.88E-020664.78E-020664.03E-02066664.78E-02066664.03E-020674.31E-020673.54E-02067674.31E-02067673.54E-020683.16E-020682.46E-02068683.16E-02068682.46E-020692.00E-020691.44E-02069692.00E-02069691.44E-020707.60E-034.50E-03702.68E-037.54E-0470707.60E-034.50E-0370702.68E-037.54E-04715.20E-036.30E-03714.76E-042.84E-0371715.20E-036.30E-0371714.76E-042.84E-037201.12E-027208.54E-03727201.12E-02727208.54E-037301.46E-027301.19E-02737301.46E-02737301.19E-027401.31E-027401.09E-02747401.31E-02747401.09E-027501.01E-027508.51E-03-122- 757501.01E-02757508.51E-037608.20E-037606.92E-03767608.20E-03767606.92E-037703.30E-037702.58E-03777703.50E-03777702.58E-03782.00E-040788.18E-05078782.00E-04078788.18E-050791.00E-041.00E-047900注：每根预应力钢筋为Φ15.24钢绞线，,4.3钢束布置4.3.1配筋数目的确定（1）当截面上、下缘均需配筋时，上缘配筋取NSmin，下缘配筋取NXmin；（2）当截面仅需下缘配筋时，配筋数取NXxl；（3）当截面仅需上缘配筋时，配筋数取NSsl。将确定的数值按进一法取整后作为最终配筋计算值。但由于某些不确定因素的存在及预加力产生的次内力尚无法计入，因此可将最终配筋计算值适当增大作为实际采用值，同时根据截面构造特点将实际采用值分配于梁的上、下截面。4.3.2布置原则连续梁预应力筋束的配置除满足《桥规》（JTGD62-2004）构造要求外，还应考虑以下原则：（1）应选择适当的预应力筋束的型式与锚具型式。对不同跨径的桥跨结构，要选用预加力大小恰当的预应力筋束，以达到合理的布置形式。避免造成因预应力筋束与锚具型式选择不当，而使结构构造尺寸加大。当预应力筋束选择过大，每束的预加力不大，造成大跨结构中钢束过多而构造尺寸限制布置不下时，则要求增大截面。反之，在跨径不大的结构中，如选择预加力很大的单根束筋，也可能使结构受力过于集中而不利；（2）预应力筋束的布置要考虑施工的方便，也不能像钢筋混凝土结构中任意切断钢筋那样去切断预应力筋束而导致在结构中布置过多的锚具。由于每根筋束都是一股巨大的集中力这样锚下应力区受力复杂，因而必须在构造上加以保证，为此常导致结构构造复杂，而使施工不便；（3）预应力束筋的布置，既要符合构造要求，又要注意在超静定结构体系中避免引起过大的结构次内力；（4）-122- 预应力束筋的布置，应考虑材料经济指标的先进性，这往往与桥梁与桥梁体系、构造尺寸、施工方法的选择都有密切关系；（5）预应力筋束的布置应避免使用多次曲率的连续束，因为这会引起很大的摩阻损失，降低预应力筋束的效益。4.3.3钢束布置（1）确定跨中及锚固截面的钢束位置1）对于跨中截面，在保证布置预留管道构造要求的前提下，尽可能使钢束群重心的偏心距大些。2）本设计将所有正弯矩锚固于距离梁端0.3-0.36m处。对于锚固截面通常要使预应力钢束重心尽量靠近截面重心，并考虑锚头布置的可能性，以满足张拉操作方便等要求。（2）束起弯角和线型确定确定钢束起弯角时既要考虑因其弯起所起产生的竖向剪力有足够数量，又要考虑到因其增大而导致磨擦预应力损失不宜过大。为了方便施工与计算，所有钢束布置线型均为一端和中间为直线，直线与直线间夹一段圆弧线，钢束的中点和锚固点可看图4.1。图3-2钢束计算``图4.1钢束形状图（3）遵循预应力钢束布置的原则，结合本设计的施工特点，钢束布置结果详见图纸，图4.2仅示出边跨的钢束布置图。图4.2边跨钢束布置示意图图-122- 4.4刚性吊杆法来确定吊杆张拉力刚性支承连续梁法是以成桥状态时系梁与吊杆连接处节点的位移为控制目标，确定成桥状态下的柔性吊杆张拉力方法是刚性吊杆法。它是从系杆拱桥的整体受力出发，以拱作为主要研究对象。作为梁、拱的组合，改变吊杆张拉力的大小，可以协调两者之间的关系来获得比较合理的全桥受力状态。众所周之，拱是主要偏心承压构件，它充分发挥了混凝土的抗压性能好的特点，具有良好的经济指标。因此，拱的受拉潜力很大。于是，可以通过调整吊杆张拉力，使恒载尽可能由拱来承担，达到系杆拱的受力状态，即梁拱相应吊杆节点无位移差(△ij=0，i、j分别表示吊杆两端节点)，来达到整体受力优化的目的。在具体计算中，取吊杆轴向刚度很大，例如使吊杆截面面积增加100倍，而吊杆的容重γ缩小100倍来计算确定吊杆力的大小|。本桥采用桥梁博士V3.0进行计算最终计算得到成桥状态张拉力，计算结果得到每根拉索的成桥索力约为30T。在得到成桥索力以后，继续采用桥梁博士计算求解各施工阶段索力张拉力的大小，具体步骤是，将成桥索力迭代入桥梁博士优化信息输入窗口，然后计算进行索力优化计算，优化结果如下：表4.2各施工阶段吊杆张拉力单位（kN）索号张拉阶段号施工张拉力10536-65510635-80710734-94110833-1.01E+0310933-88611033-1.01E+0311134-94011235-80711336-655-122- 第五章预应力损失及有效预应力计算设计预应力混凝土受弯构件时，需要事先根据承受外荷载情况，估计其预加应力的大小。但是，由于施工因素、材料性能和环境条件的影响，钢筋中的预应力将要减少。这种减少的预应力就是预应力损失。设计中所需的钢筋预应力值，应是扣除相应阶段的应力损失后，钢筋中实际存余的预应力（即有效预应力）值。即：5.1预应力损失种类及相应的计算方法本设计应力张拉采用后张法，且采用超张拉技术，预应力主要有以下六种损失：（1）预应力筋与管道壁间摩擦引起的应力损失后张法的预应力筋，一般由直线和曲线两部分组成。张拉时，预应力筋沿管道壁滑移而产生摩擦力，使钢筋中的预拉应力形成在张拉端高，向跨中方向逐渐减小的情况。钢筋在任意两截面间的应力值，就是此两截面间由摩擦引起的预应力损失值。此项损失中包含的影响因素主要有：a、弯道影响引起的摩擦力；b、管道偏差影响引起的摩擦力。此项损失的计算公式为：…………………………………（5-1）式中：——预应力钢筋锚下的张拉控制应力（MPa）；μ——预应力钢筋与管道壁的摩擦系数，按《公路桥规》表6.2.2采用；θ——从张拉端至计算截面曲线管道部分切线的夹角之和（rad）；——管道每米局部偏差对摩擦的影响系数，按《公路桥规》表6.2.2采用；——从张拉端至计算截面的管道长度，可近似的取该段管道在构件纵轴上的投影长度（m）。（2）预应力直线钢筋由锚具变形、钢筋回缩和接缝压缩引起的预应力损失，可按下式计算：……………………………………（5-2）式中——张拉锚具变形、钢筋回缩和接缝压缩值（mm），按《公路桥规》表6.2.3采用；-122- ——张拉端至锚固端之间的距离（mm）；Ey——预应力筋束的弹性模量。（3）先张法预应力混凝土构件，当采用加热方法养护时，由钢筋与台座之间的温差引起的预应力损失可按下式计算：……………………………………（5-3）式中——混凝土加热养护时，受拉钢筋的最高温度；——张拉钢筋时，制造场地的温度。（4）预应力混凝土构件，由混凝土弹性压缩引起的预应力损失可按下列规定计算：1）后张法预应力混凝土构件当采用分批张拉时，先张拉的钢筋由张拉后批钢筋所引起的混凝土弹性压缩的预应力损失，可按下式计算：…………………………………（5-4）式中——在计算截面先张拉的钢筋重心处，由后张拉各批钢筋产生的混凝土法向应力（MPa）；——预应力钢筋弹性模量与混凝土弹性模量的比值。2）先张法预应力混凝土构件，放松钢筋时由混凝土弹性压缩引起的预应力损失，可按下式计算：………………………………………（5-5）式中——在计算截面钢筋重心处，由全部钢筋预加力产生的混凝土法向应力（MPa）。（5）预应力钢筋由于钢筋松弛引起的预应力损失终极值，可按下列规定计算：预应力钢丝、钢绞线：…………………………（5-6）式中——张拉系数，一次张拉时，=1.0；超张拉时，=0.9；——钢筋松弛系数，I级松弛（普通松弛），=1.0；II级松弛（低松弛），=0.3；——传力锚固时的钢筋应力，对后张法构件-122- ；对先张法构件，。（6）由混凝土收缩、徐变引起的构件受拉区和受压区预应力钢筋的预应力损失，可按下列公式计算：………………………（5-7）……………………（5-7’）………………………………（5-8）………………………………（5-9）…………………………（5-10）式中：——构件受拉区、受压区全部纵向钢筋截面重心处由混凝土收缩、徐变引起的预应力损失；——构件受拉区、受压区全部纵向钢筋截面重心处由预应力产生的混凝土法向压应力（MPa），应按《公路桥规》第6.1.5条和第6.1.6条规定计算。此时，预应力损失值仅考虑预应力钢筋锚固时的损失；——预应力钢筋的弹性模量；——预应力钢筋弹性模量与混凝土弹性模量的比值；——构件受拉区、受压区全部纵向钢筋配筋率；——构件截面面积，对先张法构件，；对后张法构件。此处，为换算截面，为净截面；——截面回转半径，，先张法构件取；后张法构件取，此处，和分别为换算截面惯性矩和净截面惯性矩；-122- ——构件受拉区、受压区预应力钢筋截面重心至截面重心的距离；——构件受拉区、受压区纵向普通钢筋截面重心至构件截面重心的距离；——构件受拉区、受压区预应力钢筋和普通钢筋截面重心至构件截面重心轴的距离；——预应力钢筋传力锚固龄期为，计算考虑的龄期为t时的混凝土收缩应变，其终极值可按《公路桥规》表6.2.7取用；——加载龄期为，计算考虑的龄期为时的徐变系数，其终极值可按《公路桥规》表6.2.7取用。5.2钢筋的有效预应力计算原理（1）预应力损失的组合后张法：…………………………………………（5-11）……………………………………………………（5-12）（2）钢束的有效预应力y预加应力阶段：……………………………………………（5-13）使用阶段：…………………………………………（5-14）5.3钢束预应力损失及有效预应力计算因为本设计是变高度截面的箱梁，截面除了在支点附近腹板和底板加厚外，其余都是变截面的，各跨的配束是相同的，计算预应力损失时可选其中一根钢束进行计算。5.3.1钢束张拉（锚下）控制应力（）按《公路桥规》规定采用-122- 5.3.2钢束应力损失（1）锚具变形、钢丝回缩引起的应力损失（）采用《公路桥规》规定的平均值计算公式：查表得夹片锚具（无顶压）的Δl=6mm，l取钢束锚固点间的平均长度计算，Ep=1.95×105，∑Δl=6mm×2=12mm，l=12100-2×30=12040cm,（梁全长12100cm，各束锚固点距支座中心线平均距离为30cm）。（2）分批张拉时混凝土弹性压缩引起的应力损失（）偏与安全考虑，取L/4截面进行计算。采用式（5-5）进行计算。Rˊ=0.8×50=40号，50号混凝土的Ec=3.45×104Mpa，m=5，，Ay=139×74=10286㎜2，Ny=（）Ay=（1265-89.6-79.59）×Ay=1095.81×10286=11271.5kN，Aj取值：1.08m，=29.4Mpa=（5-1）×5.65×29.4/（2×5）=66.44Mpa（3）钢筋松弛引起的预应力损失（）采用超张拉工艺施工，对于高强低松弛钢绞线，采用公式（5-6）计算。=0.9=0.3=1265---=1029.37=0.9×0.3×(0.52×-0.26)×1029.37=7.72Mpa（4）混凝土收缩、徐变引起的预应力损失（）下面是S41号钢筋（主墩处）的几何形状及单元划分，计算钢束各个截面在最后一个施工阶段的预应力损失列于表5.1～表5.2。-122- 表5.1F5号钢束第20施工阶段各项预应力损失及有关有效预应力(单位:Mpa)-122- 表5.2F5号钢束正常使用阶段各项预应力损失及永存预应力(单位:Mpa)-122- 第六章配束后主梁内力计算及内力组合6.1施工阶段主梁内力计算主梁配束后各施工阶段内力计算主要包括以下几项：主梁自重内力、预加力产生的初预矩及次内力、混凝土收缩徐变产生的次内力。这些荷载效应的计算原理与方法和第二章相同，这里不再赘述。这里给出各施工阶段的累计内力下，以便对施工过程和相应的内力有一个总体的认识。表6.1～表6.3给出三个施工阶段的累计内力计算结果。表6.1第21施工阶段累计内力（边跨合拢前）单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）110.000e+0000.000e+0000.000e+000120.000e+0000.000e+0000.000e+000220.000e+0000.000e+0000.000e+000230.000e+0000.000e+0000.000e+000330.000e+0000.000e+0000.000e+000340.000e+0000.000e+0000.000e+000440.000e+0000.000e+0000.000e+000450.000e+0000.000e+0000.000e+000550.000e+0000.000e+0000.000e+000560.000e+0000.000e+0000.000e+000661.196e+0046.404e+0026.009e+003671.216e+0041.219e+0035.604e+003773.224e+0042.371e+0037.657e+003783.372e+0042.336e+0031.183e+004885.393e+0049.183e+0021.408e+004895.514e+0042.811e+0031.623e+004995.514e+004-2.811e+0031.623e+0049105.560e+0044.366e+0031.378e+00410107.501e+004-4.211e+0021.675e+00410117.701e+0045.734e+0031.618e+00411111.085e+005-1.246e+0032.927e+00411121.104e+0056.302e+0033.101e+00412121.297e+005-2.501e+0033.592e+00412131.321e+0057.956e+0033.904e+00413131.503e+005-4.173e+0034.419e+00413141.517e+0056.835e+0034.061e+00414141.517e+005-6.835e+0034.061e+004-122- 14151.535e+0051.062e+0044.835e+00415151.535e+005-1.062e+0044.835e+00415161.545e+0051.196e+0046.479e+00416161.545e+005-2.174e+0034.907e+00416171.552e+0054.009e+0034.587e+00417171.552e+005-4.009e+0034.587e+00417181.546e+0055.844e+0033.914e+004181051.534e+0051.090e+0044.224e+00418191.515e+005-7.388e+0034.048e+00419191.515e+0057.388e+0034.048e+00419201.503e+005-4.968e+0033.760e+00420201.322e+0058.747e+0033.235e+00420211.310e+005-5.391e+0033.216e+00421211.310e+0055.391e+0033.950e+00421221.309e+005-4.764e+0034.097e+00422221.309e+0054.764e+0034.097e+00422231.307e+005-4.161e+0034.209e+00423231.307e+0054.161e+0033.476e+00423241.298e+005-3.051e+0033.138e+00424241.104e+0056.850e+0032.643e+00424251.086e+005-1.794e+0032.636e+00425257.708e+0046.281e+0031.324e+00425267.683e+004-5.164e+0031.474e+00426267.683e+0045.164e+0031.980e+00426277.668e+004-4.592e+0032.115e+00427277.668e+0044.592e+0032.115e+00427287.642e+004-4.033e+0032.225e+00428287.642e+0044.033e+0031.722e+00428297.500e+004-7.563e+0021.532e+00429295.560e+0044.700e+0031.234e+00429305.479e+004-2.037e+0031.514e+00430305.479e+0042.037e+0031.999e+00430315.458e+004-1.332e+0032.042e+00431315.458e+0041.332e+0032.042e+00431325.439e+004-5.866e+0022.061e+00432325.439e+0045.866e+0021.579e+00432335.393e+0047.664e+0021.363e+00433333.372e+0042.486e+0031.137e+00433343.229e+0041.662e+0031.088e+00434343.229e+004-1.662e+0031.371e+00434353.229e+0041.874e+0031.317e+00435353.229e+004-1.874e+0031.317e+004-122- 35363.228e+0042.086e+0031.257e+00436363.228e+004-2.086e+0039.747e+00336373.224e+0042.370e+0037.673e+00337371.216e+0041.219e+0035.603e+00337381.196e+0046.404e+0026.009e+00338380.000e+0000.000e+0000.000e+00038390.000e+0000.000e+0000.000e+00039390.000e+0000.000e+0000.000e+00039400.000e+0000.000e+0000.000e+00040400.000e+0000.000e+0000.000e+00040410.000e+0000.000e+0000.000e+00041410.000e+0000.000e+0000.000e+00041420.000e+0000.000e+0000.000e+00042421.196e+0046.404e+0026.009e+00342431.216e+0041.219e+0035.603e+00343433.224e+0042.370e+0037.673e+00343443.228e+004-2.086e+0039.747e+00344443.228e+0042.086e+0031.257e+00444453.229e+004-1.874e+0031.317e+00445453.229e+0041.874e+0031.317e+00445463.229e+004-1.662e+0031.371e+00446463.229e+0041.662e+0031.088e+00446473.372e+0042.486e+0031.137e+00447475.393e+0047.665e+0021.363e+00447485.439e+0045.866e+0021.579e+00448485.439e+004-5.866e+0022.061e+00448495.458e+0041.332e+0032.042e+00449495.458e+004-1.332e+0032.042e+00449505.479e+0042.037e+0031.999e+00450505.479e+004-2.037e+0031.514e+00450515.559e+0044.700e+0031.234e+00451517.500e+004-7.559e+0021.532e+00451527.642e+0044.033e+0031.722e+00452527.642e+004-4.033e+0032.225e+00452537.668e+0044.592e+0032.115e+00453537.668e+004-4.592e+0032.115e+00453547.684e+0045.164e+0031.980e+00454547.684e+004-5.164e+0031.474e+00454557.708e+0046.281e+0031.324e+00455551.086e+005-1.794e+0032.636e+00455561.104e+0056.850e+0032.641e+00456561.298e+005-3.051e+0033.136e+004-122- 56571.306e+0054.161e+0033.472e+00457571.306e+005-4.161e+0034.204e+00457581.309e+0054.764e+0034.093e+00458581.309e+005-4.764e+0034.093e+00458591.310e+0055.391e+0033.947e+00459591.310e+005-5.391e+0033.213e+00459601.322e+0058.747e+0033.234e+00460601.503e+005-4.968e+0033.760e+00460611.515e+0057.388e+0034.047e+00461611.515e+005-7.388e+0034.047e+004611061.534e+0051.090e+0044.224e+00462621.546e+0055.841e+0033.913e+00462631.552e+005-4.006e+0034.586e+00463631.552e+0054.006e+0034.586e+00463641.545e+005-2.171e+0034.906e+00464641.545e+0051.196e+0046.478e+00464651.535e+005-1.062e+0044.839e+00465651.535e+0051.062e+0044.839e+00465661.517e+005-6.835e+0034.056e+00466661.517e+0056.835e+0034.056e+00466671.503e+005-4.173e+0034.418e+00467671.321e+0057.956e+0033.903e+00467681.297e+005-2.501e+0033.592e+00468681.104e+0056.302e+0033.101e+00468691.085e+005-1.246e+0032.927e+00469697.701e+0045.734e+0031.617e+00469707.501e+004-4.217e+0021.675e+00470705.560e+0044.366e+0031.378e+00470715.514e+004-2.811e+0031.623e+00471715.514e+0042.811e+0031.623e+00471725.393e+0049.182e+0021.408e+00472723.372e+0042.336e+0031.183e+00472733.224e+0042.371e+0037.658e+00373731.216e+0041.219e+0035.604e+00373741.196e+0046.405e+0026.009e+00374740.000e+0000.000e+0000.000e+00074750.000e+0000.000e+0000.000e+00075750.000e+0000.000e+0000.000e+00075760.000e+0000.000e+0000.000e+00076760.000e+0000.000e+0000.000e+00076770.000e+0000.000e+0000.000e+00077770.000e+0000.000e+0000.000e+000-122- 77780.000e+0000.000e+0000.000e+00078780.000e+0000.000e+0000.000e+00078790.000e+0000.000e+0000.000e+000表6.2第28施工阶段累计内力（中跨合拢后）单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）114.190e-0111.747e-0111.953e-011126.472e+0041.844e+0031.295e+003226.472e+0041.237e+0031.295e+003236.470e+004-5.268e+0022.101e+003336.470e+0045.268e+0029.854e+002346.603e+004-8.400e+002-4.531e+003446.603e+0048.400e+002-4.531e+003456.617e+004-6.249e+002-3.863e+003556.617e+0046.249e+002-3.863e+003566.639e+0041.856e+002-3.501e+003667.812e+0044.426e+0022.393e+003677.876e+0041.695e+0031.274e+003779.856e+0041.849e+0033.289e+003789.148e+0043.194e+0031.721e+003881.115e+0052.644e+0013.949e+003891.126e+0053.329e+0037.310e+003991.126e+005-3.329e+0037.310e+0039101.048e+0055.224e+0037.793e+00310101.240e+005-1.312e+0031.075e+00410111.066e+0056.503e+0034.067e+00311111.379e+005-2.046e+0031.712e+00411121.342e+0057.162e+0032.381e+00412121.535e+005-3.384e+0032.870e+00412131.501e+0058.892e+0033.820e+00413131.682e+005-5.130e+0034.333e+00413141.697e+0057.773e+0033.892e+00414141.697e+005-7.773e+0033.892e+00414151.713e+0051.161e+0044.769e+00415151.713e+005-1.161e+0044.769e+00415161.724e+0051.343e+0046.608e+00416161.724e+005-1.343e+0044.854e+00416171.733e+0051.398e+0043.307e+00417171.733e+0051.509e+0043.307e+00417181.724e+005-1.325e+0045.003e+004181051.709e+0051.229e+0045.360e+00418191.688e+005-8.677e+0035.227e+004-122- 19191.688e+0058.677e+0035.227e+00419201.675e+005-6.331e+0034.997e+00420201.494e+0051.010e+0044.475e+00420211.621e+005-4.270e+0033.193e+00421211.621e+0054.270e+0034.102e+00421221.621e+005-3.227e+0034.182e+00422221.621e+0053.227e+0034.182e+00422231.620e+005-3.040e+0034.235e+00423231.620e+0053.040e+0033.327e+00423241.613e+005-3.848e+0032.839e+00424241.420e+0057.624e+0032.349e+00424251.627e+005-5.191e+0031.550e+00425251.314e+0059.646e+0032.460e+00325261.315e+005-8.868e+0034.853e+00326261.315e+0058.868e+0031.351e+00426271.316e+005-5.085e+0031.478e+00427271.316e+0055.085e+0031.478e+00427281.314e+005-4.530e+0031.591e+00428281.314e+0054.530e+0037.261e+00328291.443e+005-2.361e+003-6.332e+00329291.251e+0056.266e+003-9.308e+00329301.255e+005-5.150e+003-6.555e+00330301.255e+0055.150e+0034.567e+00330311.255e+005-1.842e+0034.931e+00331311.255e+0051.842e+0034.931e+00331321.254e+005-1.102e+0035.179e+00332321.254e+0051.102e+003-5.933e+00332331.249e+005-1.844e+003-6.490e+00333331.049e+0055.062e+003-8.724e+00333341.108e+005-7.484e+002-1.488e+00334341.108e+0057.484e+0028.207e+00334351.109e+0051.036e+0038.009e+00335351.109e+005-1.036e+0038.009e+00335361.109e+0051.471e+0037.681e+00336361.109e+005-1.471e+003-2.022e+00336371.108e+0056.728e+002-4.014e+00337379.099e+0042.869e+003-6.046e+00337389.070e+004-1.831e+002-3.744e+00338387.899e+0048.101e+002-9.628e+00338397.905e+004-2.005e+002-9.428e+00339397.905e+0042.005e+002-1.868e+00339407.910e+0047.193e+000-1.838e+003-122- 40407.910e+004-7.193e+000-1.838e+00340417.902e+0042.149e+002-1.846e+00341417.902e+004-2.149e+002-9.403e+00341427.889e+0044.986e+002-9.552e+00342429.060e+0041.285e+002-3.668e+00342439.089e+0042.044e+003-6.011e+00343431.107e+0051.499e+003-3.979e+00343441.107e+005-2.924e+002-1.974e+00344441.107e+0052.924e+0027.718e+00344451.107e+005-1.021e+0038.034e+00345451.107e+0051.021e+0038.034e+00345461.107e+005-5.898e+0028.215e+00346461.107e+0055.898e+002-1.472e+00346471.048e+0054.343e+003-8.756e+00347471.248e+005-1.124e+003-6.522e+00347481.252e+0053.190e+003-5.918e+00348481.252e+005-3.190e+0035.181e+00348491.254e+0051.856e+0034.898e+00349491.254e+005-1.856e+0034.898e+00349501.254e+0052.556e+0034.471e+00350501.254e+005-2.556e+003-6.645e+00350511.250e+0055.945e+003-9.392e+00351511.442e+005-2.039e+003-6.419e+00351521.312e+0056.712e+0037.259e+00352521.312e+005-6.712e+0031.590e+00452531.315e+0055.099e+0031.472e+00453531.315e+005-5.099e+0031.472e+00453541.315e+0055.670e+0031.331e+00454541.315e+005-5.670e+0034.654e+00354551.312e+0051.028e+0042.492e+00355551.625e+005-5.827e+0031.553e+00455561.420e+0057.298e+0032.317e+00456561.613e+005-3.524e+0032.808e+00456571.619e+0053.979e+0033.299e+00457571.619e+005-3.979e+0034.206e+00457581.621e+0053.242e+0034.148e+00458581.621e+005-3.242e+0034.148e+00458591.620e+0053.453e+0034.063e+00459591.620e+005-3.453e+0033.154e+00459601.494e+0051.010e+0044.444e+00460601.675e+005-6.333e+0034.967e+00460611.688e+0058.766e+0035.194e+004-122- 61611.688e+005-8.766e+0035.194e+004611061.709e+0051.220e+0045.322e+00462621.723e+005-1.418e+0044.973e+00462631.734e+0051.510e+0043.278e+00463631.734e+0051.399e+0043.278e+00463641.725e+005-1.216e+0044.804e+00464641.725e+0051.216e+0046.559e+00464651.713e+005-1.211e+0044.747e+00465651.713e+0051.211e+0044.747e+00465661.697e+005-7.863e+0033.854e+00466661.697e+0057.863e+0033.854e+00466671.682e+005-5.136e+0034.298e+00467671.501e+0058.901e+0033.785e+00467681.535e+005-3.506e+0032.844e+00468681.342e+0057.286e+0032.355e+00468691.378e+005-2.276e+0031.688e+00469691.065e+0056.732e+0033.836e+00369701.280e+005-2.312e+0031.067e+00470701.087e+0056.222e+0037.706e+00370711.126e+005-2.713e+0037.090e+00371711.126e+0052.713e+0037.090e+00371721.117e+005-7.014e+0023.636e+00372729.165e+0043.922e+0031.407e+00372739.856e+0041.359e+0033.194e+00373737.876e+0042.185e+0031.177e+00373747.813e+0042.344e+0022.321e+00374746.640e+0043.939e+002-3.573e+00374756.618e+0046.130e+002-3.911e+00375756.618e+004-6.130e+002-3.911e+00375766.603e+0048.281e+002-4.564e+00376766.603e+004-8.281e+002-4.564e+00376776.470e+0045.149e+0029.755e+00277776.470e+004-5.149e+0022.091e+00377786.472e+0041.225e+0031.297e+00378786.472e+0041.844e+0031.297e+00378791.917e-0104.828e-010-2.539e-010表6.3第39施工阶段累计内力(成桥后）单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）111.635e-010-6.277e-0101.159e-010126.299e+0041.860e+0031.210e+003-122- 226.299e+0042.655e+0031.210e+003236.237e+004-1.870e+0033.311e+003336.237e+0041.870e+0032.235e+003346.306e+004-1.968e+003-3.655e+002446.306e+0041.968e+003-3.655e+002456.298e+004-1.659e+0031.341e+003556.298e+0041.659e+0031.341e+003566.315e+004-6.690e+0023.429e+003667.437e+0041.270e+0039.067e+003677.477e+0041.096e+0039.848e+003779.362e+0042.276e+0031.177e+004788.672e+0042.967e+0031.141e+004881.057e+0059.441e+0011.350e+004891.068e+0053.437e+0031.645e+004991.068e+005-3.437e+0031.645e+0049109.953e+0045.338e+0031.664e+00410101.178e+005-1.614e+0031.944e+00410111.014e+0057.011e+0031.090e+00411111.313e+005-2.765e+0032.338e+00411121.276e+0057.986e+0032.655e+00412121.459e+005-4.385e+0033.117e+00412131.430e+0059.978e+0033.658e+00413131.602e+005-6.397e+0034.145e+00413141.622e+0059.062e+0033.576e+00414141.622e+005-9.062e+0033.576e+00414151.643e+0051.298e+0044.067e+00415151.643e+005-1.298e+0044.067e+00415161.669e+0051.482e+0045.898e+00416161.669e+005-1.482e+0044.200e+00416171.695e+0051.550e+0042.678e+00417171.650e+0051.490e+0042.261e+00417181.623e+005-1.296e+0043.716e+004181051.593e+0051.193e+0043.910e+00418191.564e+005-8.255e+0033.770e+00419191.564e+0058.255e+0033.770e+00419201.551e+005-5.878e+0033.552e+00420201.379e+0059.470e+0033.055e+00420211.513e+005-3.626e+0031.884e+00421211.513e+0053.626e+0032.732e+00421221.515e+005-2.567e+0032.805e+00422221.515e+0053.163e+0032.805e+00422231.510e+005-3.000e+0032.845e+00423231.510e+0053.000e+0031.999e+004-122- 23241.491e+005-3.769e+0031.495e+00424241.308e+0057.352e+0031.031e+00424251.505e+005-4.672e+0033.831e+00325251.206e+0058.897e+003-8.714e+00325261.215e+005-8.064e+003-6.134e+00326261.215e+0058.064e+0031.868e+00326271.219e+005-4.425e+0033.029e+00327271.219e+0055.018e+0033.029e+00327281.214e+005-4.462e+0033.913e+00328281.214e+0054.462e+003-4.081e+00328291.321e+005-2.149e+003-1.587e+00429291.138e+0055.809e+003-1.883e+00429301.155e+005-4.582e+003-1.706e+00430301.155e+0054.582e+003-6.815e+00330311.157e+005-1.407e+003-6.734e+00331311.157e+0051.997e+003-6.734e+00331321.152e+005-1.259e+003-6.252e+00332321.152e+0051.259e+003-1.646e+00432331.131e+005-1.747e+003-1.594e+00433339.408e+0044.772e+003-1.816e+00433341.001e+005-4.336e+002-1.204e+00434341.001e+0054.336e+002-3.277e+00334351.003e+0051.278e+003-3.577e+00335351.003e+005-6.880e+002-3.577e+00335361.001e+0051.138e+003-3.772e+00336361.001e+005-1.138e+003-1.253e+00436379.977e+0044.676e+002-1.396e+00437378.097e+0042.856e+003-1.602e+00437388.108e+0041.535e+001-1.392e+00438386.985e+0045.862e+002-1.956e+00438397.078e+0046.517e+001-2.007e+00439397.078e+004-6.517e+001-1.330e+00439407.126e+0042.998e+002-1.353e+00440407.126e+0042.888e+002-1.353e+00440417.074e+004-5.413e+001-1.327e+00441417.074e+0045.413e+001-2.003e+00441426.974e+0042.925e+002-1.947e+00442428.097e+0043.091e+002-1.383e+00442438.090e+0042.085e+003-1.600e+00443439.970e+0041.240e+003-1.395e+00443441.000e+005-3.657e+001-1.250e+00444441.000e+0053.657e+001-3.746e+00344451.002e+005-6.774e+002-3.531e+003-122- 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10940-5.886e+0026.590e-0170.000e+00011094-5.926e+0026.373e-0170.000e+00011045-5.905e+0026.373e-0170.000e+00011197-5.923e+0025.719e-0170.000e+00011149-5.904e+0025.719e-0170.000e+00011299-5.945e+0024.630e-0170.000e+00011253-5.930e+0024.630e-0170.000e+000113101-5.972e+0023.105e-0170.000e+00011358-5.962e+0023.105e-0170.000e+000114181.623e+0051.296e+0045.367e+0041141051.593e+005-1.193e+0043.910e+0041151061.593e+005-1.183e+0043.883e+004115621.623e+0051.385e+0045.347e+0046.2温度及基础沉降次内力计算连续梁在配置预应力筋束后，截面刚度将发生变化，由此将引起主梁内力发生变化。在前面的荷载组合（一）采用的是在毛截面刚度基础上计算的主梁内力，主要用于主梁配束估算，即荷载组合（一）不能用于结构验算。现考虑预应力束对主梁刚度影响重新进行主梁拱肋温度及基础沉降次内力计算，结果见表6.4～6.6。表6.4温度次内力单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）11-9.90E-10-1.46E-114.55E-125758-2.24E+01-1.30E+017.81E+0112-9.90E-101.46E-11-3.64E-125858-2.24E+011.82E+017.81E+0122-1.11E-097.26E+003.64E-125859-2.24E+01-1.82E+018.36E+0123-1.11E-09-7.26E+006.90E+005959-2.24E+011.82E+018.48E+0133-2.13E-097.26E+006.90E+005960-2.24E+01-1.82E+011.14E+0234-2.13E-09-7.26E+002.14E+016060-2.24E+011.82E+011.14E+0244-1.51E-097.26E+002.14E+016061-2.24E+01-1.82E+011.34E+0245-1.51E-09-7.26E+002.83E+016161-2.24E+011.82E+011.34E+0255-9.90E-107.26E+002.83E+0161106-2.24E+01-1.82E+011.68E+0256-9.90E-10-7.26E+004.29E+016262-2.24E+011.82E+011.86E+0266-1.32E-097.26E+004.29E+016263-2.24E+01-1.82E+012.09E+0267-1.32E-09-7.26E+006.47E+0163630.00E+00-7.27E+002.36E+0277-1.35E-097.26E+006.47E+0163640.00E+007.27E+002.26E+0278-1.35E-09-7.26E+009.37E+0164644.92E-09-7.27E+002.26E+0288-1.21E-097.26E+009.37E+0164654.92E-097.27E+002.21E+0289-1.21E-09-7.26E+001.16E+0265652.10E-09-7.27E+002.21E+0299-1.35E-097.26E+001.16E+0265662.10E-097.27E+002.05E+02-122- 910-1.35E-09-7.26E+001.23E+0266662.62E-10-7.27E+002.05E+021010-1.05E-097.26E+001.23E+0266672.62E-107.27E+001.96E+021011-1.05E-09-7.26E+001.52E+0267672.62E-09-7.27E+001.96E+021111-1.08E-097.26E+001.52E+0267682.62E-097.27E+001.74E+021112-1.08E-09-7.26E+001.74E+0268683.00E-09-7.27E+001.74E+021212-1.02E-097.26E+001.74E+0268693.00E-097.27E+001.52E+021213-1.02E-09-7.26E+001.95E+0269692.94E-09-7.27E+001.52E+021313-9.90E-107.26E+001.95E+0269702.94E-097.27E+001.23E+021314-9.90E-10-7.26E+002.05E+0270701.25E-09-7.27E+001.23E+021414-7.86E-107.26E+002.05E+0270711.25E-097.27E+001.16E+021415-7.86E-10-7.26E+002.21E+0271713.09E-09-7.27E+001.16E+021515-9.60E-107.26E+002.21E+0271723.09E-097.27E+009.38E+011516-9.60E-10-7.26E+002.26E+0272722.45E-09-7.27E+009.38E+011616-9.31E-107.26E+002.26E+0272732.45E-097.27E+006.47E+011617-9.31E-10-7.26E+002.35E+0273733.27E-09-7.27E+006.47E+011717-2.24E+01-1.82E+012.08E+0273743.27E-097.27E+004.29E+011718-2.24E+011.82E+011.86E+0274742.04E-09-7.27E+004.29E+0118105-2.24E+01-1.82E+011.68E+0274752.04E-097.27E+002.83E+011819-2.24E+011.82E+011.34E+0275752.68E-09-7.27E+002.83E+011919-2.24E+01-1.82E+011.34E+0275762.68E-097.27E+002.14E+011920-2.24E+011.82E+011.14E+027676-3.35E-10-7.27E+002.14E+012020-2.24E+01-1.82E+011.14E+027677-3.35E-107.27E+006.90E+002021-2.24E+011.82E+018.48E+017777-2.97E-09-7.27E+006.90E+002121-2.24E+01-1.82E+018.35E+017778-2.97E-097.27E+00-9.10E-122122-2.24E+011.82E+017.80E+0178788.73E-104.37E-11-3.27E-112222-2.24E+01-1.30E+017.80E+0178798.73E-10-4.37E-110.00E+002223-2.24E+011.30E+017.41E+0179172.89E+01-7.31E-01-6.13E+002323-2.24E+01-1.30E+017.54E+0179802.89E+017.31E-01-8.18E+002324-2.24E+011.30E+016.72E+0180802.89E+014.57E-01-8.18E+002424-2.24E+01-1.30E+016.72E+0180812.89E+01-4.57E-01-6.94E+002425-2.24E+011.30E+013.04E+0181812.88E+011.69E+00-6.93E+002525-2.24E+01-1.30E+013.04E+0181822.88E+01-1.69E+00-2.78E+002526-2.24E+011.30E+012.19E+0182822.88E+012.71E+00-2.78E+002626-2.24E+01-1.30E+012.05E+0182832.88E+01-2.71E+001.27E+002627-2.24E+011.30E+011.66E+0183832.59E+01-4.92E-011.27E+002727-2.24E+01-8.94E+001.66E+0183842.59E+014.92E-01-1.66E-012728-2.24E+018.94E+001.39E+0184842.59E+011.10E+00-1.66E-012828-2.24E+01-8.94E+001.54E+0184852.59E+01-1.10E+002.93E+002829-2.24E+018.94E+00-6.80E+0085852.41E+01-9.40E-012.93E+002929-2.24E+01-8.94E+00-6.80E+0085862.41E+019.40E-013.57E-012930-2.24E+018.94E+00-2.10E+0186862.41E+017.37E-013.57E-013030-2.24E+01-8.94E+00-2.30E+0186872.41E+01-7.37E-012.32E+003031-2.24E+018.94E+00-2.56E+0187872.30E+01-1.10E+002.32E+00-122- 3131-2.24E+01-5.20E+00-2.56E+0187882.30E+011.10E+00-5.38E-013132-2.24E+015.20E+00-2.72E+0188882.30E+013.01E-01-5.38E-013232-2.24E+01-5.20E+00-2.52E+0188892.30E+01-3.01E-01-7.59E-023233-2.24E+015.20E+00-3.32E+0189892.30E+011.20E+00-7.59E-023333-2.24E+01-5.20E+00-3.32E+0189902.30E+01-1.20E+001.14E+003334-2.24E+015.20E+00-4.67E+0190902.25E+01-9.95E-011.14E+003434-2.24E+01-5.20E+00-4.87E+0190912.25E+019.95E-01-1.37E+003435-2.24E+015.20E+00-5.02E+0191912.25E+018.11E-01-1.37E+003535-2.24E+01-1.72E+00-5.02E+0191922.25E+01-8.11E-016.62E-013536-2.24E+011.72E+00-5.08E+0192922.25E+01-8.10E-016.62E-013636-2.24E+01-1.72E+00-4.88E+0192932.25E+018.10E-01-1.37E+003637-2.24E+011.72E+00-4.97E+0193932.25E+019.95E-01-1.37E+003737-2.24E+01-1.72E+00-4.97E+0193942.25E+01-9.95E-011.14E+003738-2.24E+011.72E+00-5.46E+0194942.30E+01-1.20E+001.14E+003838-2.24E+01-1.72E+00-5.46E+0194952.30E+011.20E+00-7.53E-023839-2.24E+011.72E+00-5.58E+0195952.30E+01-3.01E-01-7.53E-023939-2.24E+01-1.72E+00-5.80E+0195962.30E+013.01E-01-5.37E-013940-2.24E+011.72E+00-5.85E+0196962.30E+011.10E+00-5.38E-014040-2.24E+011.72E+00-5.85E+0196972.30E+01-1.10E+002.32E+004041-2.24E+01-1.72E+00-5.80E+0197972.41E+01-7.37E-012.32E+004141-2.24E+011.72E+00-5.58E+0197982.41E+017.37E-013.58E-014142-2.24E+01-1.72E+00-5.46E+0198982.41E+019.40E-013.58E-014242-2.24E+011.72E+00-5.46E+0198992.41E+01-9.40E-012.93E+004243-2.24E+01-1.72E+00-4.97E+0199992.59E+01-1.10E+002.93E+004343-2.24E+011.72E+00-4.97E+01991002.59E+011.10E+00-1.66E-014344-2.24E+01-1.72E+00-4.88E+011001002.59E+014.92E-01-1.66E-014444-2.24E+011.72E+00-5.07E+011001012.59E+01-4.92E-011.27E+004445-2.24E+01-1.72E+00-5.02E+011011012.88E+01-2.71E+001.27E+004545-2.24E+015.21E+00-5.02E+011011022.88E+012.71E+00-2.78E+004546-2.24E+01-5.21E+00-4.87E+011021022.88E+01-1.69E+00-2.78E+004646-2.24E+015.21E+00-4.67E+011021032.88E+011.69E+00-6.93E+004647-2.24E+01-5.21E+00-3.32E+011031032.89E+01-4.57E-01-6.94E+004747-2.24E+015.21E+00-3.32E+011031042.89E+014.57E-01-8.18E+004748-2.24E+01-5.21E+00-2.52E+011041042.89E+017.31E-01-8.18E+004848-2.24E+015.21E+00-2.72E+01104632.89E+01-7.31E-01-6.13E+004849-2.24E+01-5.21E+00-2.56E+0110583-5.19E+000.00E+000.00E+004949-2.24E+018.95E+00-2.56E+0110522-5.19E+000.00E+000.00E+004950-2.24E+01-8.95E+00-2.29E+0110685-4.08E+000.00E+000.00E+005050-2.24E+018.95E+00-2.09E+0110627-4.08E+000.00E+000.00E+005051-2.24E+01-8.95E+00-6.76E+0010787-3.74E+000.00E+000.00E+005151-2.24E+018.95E+00-6.76E+0010731-3.74E+000.00E+000.00E+005152-2.24E+01-8.95E+001.54E+0110890-3.49E+000.00E+000.00E+005252-2.24E+018.95E+001.39E+0110835-3.49E+000.00E+000.00E+00-122- 5253-2.24E+01-8.95E+001.66E+0110992-3.44E+000.00E+000.00E+005353-2.24E+011.30E+011.66E+0110940-3.44E+000.00E+000.00E+005354-2.24E+01-1.30E+012.05E+0111094-3.49E+000.00E+000.00E+005454-2.24E+011.30E+012.20E+0111045-3.49E+000.00E+000.00E+005455-2.24E+01-1.30E+013.04E+0111197-3.74E+000.00E+000.00E+005555-2.24E+011.30E+013.04E+0111149-3.74E+000.00E+000.00E+005556-2.24E+01-1.30E+016.72E+0111299-4.08E+000.00E+000.00E+005656-2.24E+011.30E+016.72E+0111253-4.08E+000.00E+000.00E+005657-2.24E+01-1.30E+017.55E+01113101-5.19E+000.00E+000.00E+005757-2.24E+011.30E+017.42E+0111358-5.19E+000.00E+000.00E+00表6.5基础沉降次内力单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）110.00E+000.00E+00-5.82E-1157582.43E+02-2.05E+024.76E+03120.00E+000.00E+001.16E-1058582.43E+021.85E+024.76E+03220.00E+00-3.94E+02-3.49E-1058592.43E+02-1.85E+024.81E+03230.00E+003.94E+02-3.74E+0259592.43E+021.85E+024.80E+03331.57E-11-3.94E+02-3.74E+0259602.43E+02-1.85E+025.14E+03341.57E-113.94E+02-1.16E+0360602.43E+021.85E+025.14E+03441.46E-11-3.94E+02-1.16E+0360612.43E+02-1.85E+025.37E+03451.46E-113.94E+02-1.54E+0361612.43E+021.85E+025.37E+03550.00E+00-3.94E+02-1.54E+03611062.43E+02-1.85E+025.77E+03560.00E+003.94E+02-2.32E+0362622.43E+021.85E+025.98E+03668.68E-12-3.94E+02-2.32E+0362632.43E+02-1.85E+026.21E+03678.68E-123.94E+02-3.51E+0363634.37E-11-1.72E+025.58E+03777.46E-12-3.94E+02-3.51E+0363644.37E-111.72E+025.37E+03787.46E-123.94E+02-5.08E+036464-7.56E-11-1.72E+025.37E+0388-4.74E-12-3.94E+02-5.08E+036465-7.56E-111.72E+025.24E+0389-4.74E-123.94E+02-6.27E+036565-2.07E-11-1.72E+025.24E+03999.55E-11-3.94E+02-6.27E+036566-2.07E-111.72E+024.86E+039109.55E-113.94E+02-6.66E+036666-1.63E-11-1.72E+024.86E+031010-2.41E-11-3.94E+02-6.66E+036667-1.63E-111.72E+024.64E+031011-2.41E-113.94E+02-8.23E+036767-8.94E-12-1.72E+024.64E+031111-2.80E-11-3.94E+02-8.23E+036768-8.94E-121.72E+024.12E+031112-2.80E-113.94E+02-9.41E+036868-6.36E-12-1.72E+024.12E+031212-1.88E-12-3.94E+02-9.41E+036869-6.36E-121.72E+023.60E+031213-1.88E-123.94E+02-1.06E+046969-1.00E-11-1.72E+023.60E+0313131.96E-10-3.94E+02-1.06E+046970-1.00E-111.72E+022.91E+03-122- 13141.96E-103.94E+02-1.11E+047070-1.11E-11-1.72E+022.91E+0314142.46E-10-3.94E+02-1.11E+047071-1.11E-111.72E+022.74E+0314152.46E-103.94E+02-1.20E+0471711.19E-11-1.72E+022.74E+031515-8.25E-09-3.94E+02-1.20E+0471721.19E-111.72E+022.22E+031516-8.25E-093.94E+02-1.23E+0472721.10E-11-1.72E+022.22E+0316162.10E-09-3.94E+02-1.23E+0472731.10E-111.72E+021.53E+0316172.10E-093.94E+02-1.28E+0473738.97E-12-1.72E+021.53E+0317172.43E+024.67E+02-1.19E+0473748.97E-121.72E+021.02E+0317182.43E+02-4.67E+02-1.13E+0474745.46E-12-1.72E+021.02E+03181052.43E+024.67E+02-1.08E+0474755.46E-121.72E+026.72E+0218192.43E+02-4.67E+02-9.90E+0375753.64E-12-1.72E+026.72E+0219192.43E+024.67E+02-9.90E+0375763.64E-121.72E+025.08E+0219202.43E+02-4.67E+02-9.36E+0376761.23E-13-1.72E+025.08E+0220202.43E+024.67E+02-9.36E+0376771.23E-131.72E+021.64E+0220212.43E+02-4.67E+02-8.59E+037777-7.28E-12-1.72E+021.64E+0221212.43E+024.67E+02-8.57E+037778-7.28E-121.72E+02-1.16E-1021222.43E+02-4.67E+02-8.43E+037878-1.46E-111.16E-10-5.82E-1122222.43E+024.57E+02-8.43E+037879-1.46E-11-1.16E-100.00E+0022232.43E+02-4.57E+02-8.29E+037917-2.72E+025.63E+01-5.33E+0223232.43E+024.57E+02-8.31E+037980-2.72E+02-5.63E+01-3.76E+0223242.43E+02-4.57E+02-8.00E+038080-2.74E+024.51E+01-3.76E+0224242.43E+024.57E+02-8.00E+038081-2.74E+02-4.51E+01-2.54E+0224252.43E+02-4.57E+02-6.65E+038181-2.75E+023.34E+01-2.54E+0225252.43E+024.57E+02-6.65E+038182-2.75E+02-3.34E+01-1.72E+0225262.43E+02-4.57E+02-6.34E+038282-2.76E+022.36E+01-1.72E+0226262.43E+024.57E+02-6.32E+038283-2.76E+02-2.36E+01-1.36E+0226272.43E+02-4.57E+02-6.18E+038383-2.72E+022.02E+01-1.36E+0227272.43E+024.28E+02-6.18E+038384-2.72E+02-2.02E+01-7.72E+0127282.43E+02-4.28E+02-6.06E+038484-2.73E+023.49E+00-7.72E+0128282.43E+024.28E+02-6.07E+038485-2.73E+02-3.49E+00-6.73E+0128292.43E+02-4.28E+02-4.94E+038585-2.60E+021.25E+01-6.73E+0129292.43E+024.28E+02-4.94E+038586-2.60E+02-1.25E+01-3.31E+0129302.43E+02-4.28E+02-4.22E+038686-2.61E+02-5.60E+00-3.31E+0130302.43E+024.28E+02-4.20E+038687-2.61E+025.60E+00-4.80E+0130312.43E+02-4.28E+02-4.07E+038787-2.49E+021.30E+01-4.80E+0131312.43E+023.89E+02-4.07E+038788-2.49E+02-1.30E+01-1.43E+0131322.43E+02-3.89E+02-3.96E+038888-2.49E+02-2.20E+00-1.43E+0132322.43E+023.89E+02-3.98E+038889-2.49E+022.20E+00-1.77E+0132332.43E+02-3.89E+02-3.33E+038989-2.49E+02-1.19E+01-1.77E+0133332.43E+023.89E+02-3.33E+038990-2.49E+021.19E+01-2.98E+0133342.43E+02-3.89E+02-2.28E+039090-2.43E+021.56E+01-2.98E+0134342.43E+023.89E+02-2.26E+039091-2.43E+02-1.56E+019.42E+0034352.43E+02-3.89E+02-2.14E+039191-2.43E+02-3.98E+009.42E+00-122- 35352.43E+023.47E+02-2.14E+039192-2.43E+023.98E+00-5.50E-0135362.43E+02-3.47E+02-2.04E+039292-2.44E+021.65E+01-5.50E-0136362.43E+023.47E+02-2.06E+039293-2.44E+02-1.65E+014.07E+0136372.43E+02-3.47E+02-1.82E+039393-2.45E+02-3.12E+004.07E+0137372.43E+023.47E+02-1.82E+039394-2.45E+023.12E+003.29E+0137382.43E+02-3.47E+02-7.81E+029494-2.51E+022.05E+013.29E+0138382.43E+023.47E+02-7.81E+029495-2.51E+02-2.05E+015.37E+0138392.43E+02-3.47E+02-5.38E+029595-2.51E+021.07E+015.37E+0139392.43E+023.47E+02-5.14E+029596-2.51E+02-1.07E+017.01E+0139402.43E+02-3.47E+02-4.10E+029696-2.51E+02-4.58E+007.01E+0140402.43E+023.07E+02-4.10E+029697-2.51E+024.58E+005.82E+0140412.43E+02-3.07E+02-3.18E+029797-2.62E+029.74E+005.82E+0141412.43E+023.07E+02-3.41E+029798-2.62E+02-9.74E+008.41E+0141422.43E+02-3.07E+02-1.26E+029898-2.62E+02-8.49E+008.41E+0142422.43E+023.07E+02-1.26E+029899-2.62E+028.49E+006.09E+0142432.43E+02-3.07E+027.97E+029999-2.75E+028.87E-016.09E+0143432.43E+023.07E+027.97E+0299100-2.75E+02-8.87E-016.34E+0143442.43E+02-3.07E+021.02E+03100100-2.75E+02-1.60E+016.34E+0144442.43E+023.07E+021.04E+03100101-2.75E+021.60E+011.68E+0144452.43E+02-3.07E+021.13E+03101101-2.84E+02-1.16E+011.68E+0145452.43E+022.70E+021.13E+03101102-2.84E+021.16E+01-5.70E-0145462.43E+02-2.70E+021.21E+03102102-2.84E+02-2.17E+01-5.70E-0146462.43E+022.70E+021.19E+03102103-2.84E+022.17E+01-5.40E+0146472.43E+02-2.70E+021.92E+03103103-2.83E+02-3.37E+01-5.39E+0147472.43E+022.70E+021.92E+03103104-2.83E+023.37E+01-1.45E+0247482.43E+02-2.70E+022.39E+03104104-2.81E+02-4.53E+01-1.45E+0248482.43E+022.70E+022.41E+0310463-2.81E+024.53E+01-2.72E+0248492.43E+02-2.70E+022.49E+03105839.92E+000.00E+000.00E+0049492.43E+022.35E+022.49E+03105229.92E+000.00E+000.00E+0049502.43E+02-2.35E+022.56E+03106852.94E+010.00E+000.00E+0050502.43E+022.35E+022.54E+03106272.94E+010.00E+000.00E+0050512.43E+02-2.35E+022.95E+03107873.91E+010.00E+000.00E+0051512.43E+022.35E+022.95E+03107313.91E+010.00E+000.00E+0051522.43E+02-2.35E+023.61E+03108904.15E+010.00E+000.00E+0052522.43E+022.35E+023.62E+03108354.15E+010.00E+000.00E+0052532.43E+02-2.35E+023.69E+03109924.02E+010.00E+000.00E+0053532.43E+022.05E+023.69E+03109404.02E+010.00E+000.00E+0053542.43E+02-2.05E+023.75E+03110943.77E+010.00E+000.00E+0054542.43E+022.05E+023.74E+03110453.77E+010.00E+000.00E+0054552.43E+02-2.05E+023.89E+03111973.48E+010.00E+000.00E+0055552.43E+022.05E+023.89E+03111493.48E+010.00E+000.00E+0055562.43E+02-2.05E+024.53E+03112992.99E+010.00E+000.00E+0056562.43E+022.05E+024.53E+03112532.99E+010.00E+000.00E+00-122- 56572.43E+02-2.05E+024.68E+031131011.94E+010.00E+000.00E+0057572.43E+022.05E+024.70E+03113581.94E+010.00E+000.00E+006.3混凝土收缩、徐变次内力计算混凝土收缩、徐变的计算按照初应变理论采用增量理论计算，徐变系数的计算采用《桥规》（JTGD62—2004）提供的计算公式和图表计算。考虑预加力作用后中主梁收缩(很小可不计)，徐变次内力计算结果见表6.8。表6.6徐变次内力单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）单元号节点号轴力（kN）剪力（kN）弯矩（kN·m）11-3.55E-117.48E-12-5.07E-1258596.87E+014.52E+01-5.94E+0212-3.55E-11-7.48E-121.22E-1159596.87E+01-4.52E+01-5.98E+02224.55E-11-3.23E+011.16E-1159606.87E+014.52E+01-6.68E+02234.55E-113.23E+01-3.07E+0160606.87E+01-4.52E+01-6.68E+02334.41E-11-3.23E+01-3.07E+0160616.87E+014.52E+01-7.18E+02344.41E-113.23E+01-9.54E+0161616.87E+01-4.52E+01-7.18E+02445.14E-11-3.23E+01-9.54E+01611066.87E+014.52E+01-8.00E+02455.14E-113.23E+01-1.26E+0262626.87E+01-4.52E+01-8.44E+02554.50E-11-3.23E+01-1.26E+0262636.87E+014.52E+01-9.00E+02564.50E-113.23E+01-1.91E+026363-9.10E-113.22E+01-1.04E+03664.96E-11-3.23E+01-1.91E+026364-9.10E-11-3.22E+01-1.00E+03674.96E-113.23E+01-2.88E+026464-1.68E-103.22E+01-1.00E+03774.28E-11-3.23E+01-2.88E+026465-1.68E-10-3.22E+01-9.79E+02784.28E-113.23E+01-4.17E+026565-7.91E-113.22E+01-9.79E+02884.82E-11-3.23E+01-4.17E+026566-7.91E-11-3.22E+01-9.08E+02894.82E-113.23E+01-5.15E+026666-7.55E-113.22E+01-9.08E+02992.64E-11-3.23E+01-5.15E+026667-7.55E-11-3.22E+01-8.67E+029102.64E-113.23E+01-5.47E+026767-6.73E-113.22E+01-8.67E+0210103.37E-11-3.23E+01-5.47E+026768-6.73E-11-3.22E+01-7.70E+0210113.37E-113.23E+01-6.76E+026868-6.55E-113.22E+01-7.70E+0211113.91E-11-3.23E+01-6.76E+026869-6.55E-11-3.22E+01-6.73E+0211123.91E-113.23E+01-7.73E+026969-9.10E-113.22E+01-6.73E+0212124.37E-11-3.23E+01-7.73E+026970-9.10E-11-3.22E+01-5.44E+0212134.37E-113.23E+01-8.70E+027070-1.52E-103.22E+01-5.44E+0213134.00E-11-3.23E+01-8.70E+027071-1.52E-10-3.22E+01-5.13E+0213144.00E-113.23E+01-9.12E+027171-1.19E-103.22E+01-5.13E+0214144.00E-11-3.23E+01-9.12E+027172-1.19E-10-3.22E+01-4.16E+0214154.00E-113.23E+01-9.83E+027272-9.73E-113.22E+01-4.16E+0215154.00E-11-3.23E+01-9.83E+027273-9.73E-11-3.22E+01-2.87E+02-122- 15164.00E-113.23E+01-1.01E+037373-1.03E-103.22E+01-2.87E+0216166.28E-11-3.23E+01-1.01E+037374-1.03E-10-3.22E+01-1.90E+0216176.28E-113.23E+01-1.05E+037474-1.07E-103.22E+01-1.90E+0217176.87E+014.54E+01-9.05E+027475-1.07E-10-3.22E+01-1.26E+0217186.87E+01-4.54E+01-8.48E+027575-9.64E-113.22E+01-1.26E+02181056.87E+014.54E+01-8.04E+027576-9.64E-11-3.22E+01-9.50E+0118196.87E+01-4.54E+01-7.22E+027676-1.15E-103.22E+01-9.50E+0119196.87E+014.54E+01-7.22E+027677-1.15E-10-3.22E+01-3.06E+0119206.87E+01-4.54E+01-6.72E+027777-1.29E-103.22E+01-3.06E+0120206.87E+014.54E+01-6.72E+027778-1.29E-10-3.22E+01-4.43E-1220216.87E+01-4.54E+01-6.01E+027878-2.08E-101.07E-12-4.17E-1221216.87E+014.54E+01-5.97E+027879-2.08E-10-1.07E-123.60E-1221226.87E+01-4.54E+01-5.83E+027917-8.17E+011.03E+01-4.18E+0122226.87E+014.05E+01-5.83E+027980-8.17E+01-1.03E+01-1.31E+0122236.87E+01-4.05E+01-5.71E+028080-8.20E+016.89E+00-1.31E+0123236.87E+014.05E+01-5.75E+028081-8.20E+01-6.89E+005.58E+0023246.87E+01-4.05E+01-5.49E+028181-8.23E+013.39E+005.56E+0024246.87E+014.05E+01-5.49E+028182-8.23E+01-3.39E+001.39E+0124256.87E+01-4.05E+01-4.35E+028282-8.23E+014.70E-011.39E+0125256.87E+014.05E+01-4.35E+028283-8.23E+01-4.70E-011.46E+0125266.87E+01-4.05E+01-4.09E+028383-7.98E+011.06E+001.46E+0126266.87E+014.05E+01-4.04E+028384-7.98E+01-1.06E+001.77E+0126276.87E+01-4.05E+01-3.92E+028484-7.97E+01-3.82E+001.77E+0127276.87E+013.13E+01-3.92E+028485-7.97E+013.82E+006.92E+0027286.87E+01-3.13E+01-3.82E+028585-7.55E+01-6.26E-016.92E+0028286.87E+013.13E+01-3.87E+028586-7.55E+016.26E-015.21E+0028296.87E+01-3.13E+01-3.09E+028686-7.53E+01-5.87E+005.21E+0029296.87E+013.13E+01-3.09E+028687-7.53E+015.87E+00-1.04E+0129306.87E+01-3.13E+01-2.58E+028787-7.14E+015.05E-02-1.04E+0130306.87E+013.13E+01-2.52E+028788-7.14E+01-5.05E-02-1.03E+0130316.87E+01-3.13E+01-2.43E+028888-7.13E+01-4.29E+00-1.03E+0131316.87E+011.95E+01-2.43E+028889-7.13E+014.29E+00-1.69E+0131326.87E+01-1.95E+01-2.37E+028989-7.11E+01-7.06E+00-1.69E+0132326.87E+011.95E+01-2.43E+028990-7.11E+017.06E+00-2.40E+0132336.87E+01-1.95E+01-2.13E+029090-6.90E+011.75E+00-2.40E+0133336.87E+011.95E+01-2.13E+029091-6.90E+01-1.75E+00-1.96E+0133346.87E+01-1.95E+01-1.62E+029191-6.90E+01-3.79E+00-1.96E+0134346.87E+011.95E+01-1.56E+029192-6.90E+013.79E+00-2.91E+0134356.87E+01-1.95E+01-1.50E+029292-6.90E+013.83E+00-2.91E+0135356.87E+016.65E+00-1.50E+029293-6.90E+01-3.83E+00-1.95E+0135366.87E+01-6.65E+00-1.48E+029393-6.90E+01-1.72E+00-1.95E+0136366.87E+016.65E+00-1.54E+029394-6.90E+011.72E+00-2.39E+01-122- 36376.87E+01-6.65E+00-1.50E+029494-7.11E+017.08E+00-2.39E+0137376.87E+016.65E+00-1.50E+029495-7.11E+01-7.08E+00-1.67E+0137386.87E+01-6.65E+00-1.31E+029595-7.13E+014.32E+00-1.67E+0138386.87E+016.65E+00-1.31E+029596-7.13E+01-4.32E+00-1.00E+0138396.87E+01-6.65E+00-1.26E+029696-7.14E+01-2.91E-02-1.00E+0139396.87E+016.65E+00-1.20E+029697-7.14E+012.91E-02-1.01E+0139406.87E+01-6.65E+00-1.18E+029797-7.53E+015.84E+00-1.01E+0140406.87E+01-6.53E+00-1.18E+029798-7.53E+01-5.84E+005.42E+0040416.87E+016.53E+00-1.20E+029898-7.55E+015.98E-015.42E+0041416.87E+01-6.53E+00-1.26E+029899-7.55E+01-5.98E-017.06E+0041426.87E+016.53E+00-1.31E+029999-7.96E+013.77E+007.06E+0042426.87E+01-6.53E+00-1.31E+0299100-7.96E+01-3.77E+001.77E+0142436.87E+016.53E+00-1.50E+02100100-7.97E+01-1.11E+001.77E+0143436.87E+01-6.53E+00-1.50E+02100101-7.97E+011.11E+001.45E+0143446.87E+016.53E+00-1.53E+02101101-8.23E+01-5.14E-011.45E+0144446.87E+01-6.53E+00-1.47E+02101102-8.23E+015.14E-011.37E+0144456.87E+016.53E+00-1.49E+02102102-8.22E+01-3.43E+001.37E+0145456.87E+01-1.94E+01-1.49E+02102103-8.22E+013.43E+005.26E+0045466.87E+011.94E+01-1.55E+02103103-8.20E+01-6.93E+005.28E+0046466.87E+01-1.94E+01-1.61E+02103104-8.20E+016.93E+00-1.35E+0146476.87E+011.94E+01-2.12E+02104104-8.16E+01-1.03E+01-1.35E+0147476.87E+01-1.94E+01-2.12E+0210463-8.16E+011.03E+01-4.23E+0147486.87E+011.94E+01-2.42E+02105834.84E+000.00E+000.00E+0048486.87E+01-1.94E+01-2.36E+02105224.84E+000.00E+000.00E+0048496.87E+011.94E+01-2.42E+02106859.19E+000.00E+000.00E+0049496.87E+01-3.12E+01-2.42E+02106279.19E+000.00E+000.00E+0049506.87E+013.12E+01-2.51E+02107871.19E+010.00E+000.00E+0050506.87E+01-3.12E+01-2.57E+02107311.19E+010.00E+000.00E+0050516.87E+013.12E+01-3.07E+02108901.28E+010.00E+000.00E+0051516.87E+01-3.12E+01-3.07E+02108351.28E+010.00E+000.00E+0051526.87E+013.12E+01-3.85E+02109921.32E+010.00E+000.00E+0052526.87E+01-3.12E+01-3.80E+02109401.32E+010.00E+000.00E+0052536.87E+013.12E+01-3.90E+02110941.28E+010.00E+000.00E+0053536.87E+01-4.03E+01-3.90E+02110451.28E+010.00E+000.00E+0053546.87E+014.03E+01-4.02E+02111971.18E+010.00E+000.00E+0054546.87E+01-4.03E+01-4.06E+02111491.18E+010.00E+000.00E+0054556.87E+014.03E+01-4.33E+02112999.17E+000.00E+000.00E+0055556.87E+01-4.03E+01-4.33E+02112539.17E+000.00E+000.00E+0055566.87E+014.03E+01-5.47E+021131014.84E+000.00E+000.00E+0056566.87E+01-4.03E+01-5.47E+02113584.84E+000.00E+000.00E+0056576.87E+014.03E+01-5.72E+02114186.87E+014.54E+01-8.41E+0257576.87E+01-4.03E+01-5.68E+021141056.87E+01-4.54E+01-8.04E+0257586.87E+014.03E+01-5.80E+021151066.87E+01-4.52E+01-8.00E+02-122- 58586.87E+01-4.52E+01-5.80E+02115626.87E+014.52E+01-8.37E+026.4内力组合在上述考虑主梁配束后影响后进行主梁恒、次内力计算的基础上，可进行第二次荷载内力组合。由使用阶段应力验算公式知，各种使用荷载作用下主梁截面几何特性有所不同，因此给出承载能力极限状态荷载组合（一），主要用于主梁截面强度验算，表6.7给出承载能力荷载组合（一）的计算结果。表6.7组合内力截面号项目基本组合Sd短期组合Ss长期组合SlMdVdMsVsMlVl（kN·M）（kN）（kN·M）（kN）（kN·M）（kN）1最大弯矩000000最大剪力0000002最大弯矩1.60E+033.50E+031.21E+032.65E+031.21E+032.65E+03最大剪力1.59E+036.94E+031.21E+034.44E+031.21E+033.80E+033最大弯矩5.76E+035.82E+033.73E+033.61E+033.21E+032.99E+03最大剪力5.69E+035.74E+033.74E+033.63E+033.24E+033.02E+034最大弯矩7.51E+035.13E+033.96E+033.54E+032.50E+032.99E+03最大剪力7.16E+035.53E+034.00E+033.57E+032.61E+033.03E+035最大弯矩1.17E+044.98E+036.82E+033.15E+034.99E+032.63E+03最大剪力1.13E+044.97E+036.91E+033.17E+035.17E+032.67E+036最大弯矩2.58E+044.16E+031.67E+042.62E+031.42E+042.17E+03最大剪力2.48E+044.15E+031.69E+042.62E+031.46E+042.18E+037最大弯矩3.33E+044.99E+032.18E+043.40E+031.86E+043.05E+03最大剪力3.15E+045.04E+032.10E+043.42E+031.82E+043.06E+038最大弯矩3.78E+041.48E+032.55E+049322.20E+04701最大剪力3.53E+041.66E+032.43E+041.01E+032.13E+047489最大弯矩4.16E+04-3.62E+032.90E+04-2.80E+032.57E+04-2.94E+03最大剪力3.55E+04-2.54E+032.79E+04-2.65E+032.50E+04-2.86E+0310最大弯矩4.51E+04-1.35E+033.21E+04-1.04E+032.88E+04-1.16E+03最大剪力3.88E+04-6133.11E+04-8632.83E+04-1.06E+0311最大弯矩4.76E+04-3.39E+033.56E+04-2.43E+033.31E+04-2.44E+03最大剪力4.10E+04-2.22E+033.50E+04-2.17E+033.27E+04-2.30E+0312最大弯矩5.49E+04-8.21E+034.27E+04-5.26E+034.09E+04-4.76E+03最大剪力4.75E+04-4.21E+034.25E+04-3.88E+034.07E+04-3.97E+0313最大弯矩6.55E+04-1.09E+045.25E+04-5.41E+035.13E+04-4.90E+03最大剪力5.66E+04-6.59E+035.24E+04-5.97E+035.12E+04-6.03E+03-122- 14最大弯矩5.69E+04-1.18E+044.65E+04-8.62E+034.56E+04-8.61E+03最大剪力4.92E+04-9.59E+034.65E+04-8.67E+034.55E+04-8.71E+0315最大弯矩6.14E+04-1.70E+045.10E+04-1.26E+045.05E+04-1.26E+04最大剪力5.25E+04-1.40E+045.10E+04-1.26E+045.05E+04-1.27E+0416最大弯矩6.25E+04-2.21E+045.21E+04-1.58E+045.18E+04-1.52E+04最大剪力5.25E+04-1.60E+045.18E+04-1.45E+045.16E+04-1.45E+0417最大弯矩3.85E+041.95E+043.39E+041.45E+043.33E+041.45E+04最大剪力6.04E+032.39E+041.41E+031.72E+044.46E+031.64E+0418最大弯矩6.02E+041.82E+044.98E+041.28E+044.91E+041.23E+04最大剪力3.34E+041.97E+042.08E+041.41E+042.29E+041.34E+0419最大弯矩5.98E+041.32E+044.85E+049.06E+034.75E+048.57E+03最大剪力3.62E+041.46E+042.24E+041.04E+042.37E+049.69E+0320最大弯矩5.13E+041.22E+044.15E+049.07E+034.02E+049.09E+03最大剪力2.93E+041.61E+041.69E+041.15E+041.78E+041.08E+0421最大弯矩4.80E+044.41E+033.83E+042.95E+033.68E+042.98E+03最大剪力2.83E+048.19E+031.61E+045.57E+031.64E+044.98E+0322最大弯矩4.93E+043.78E+033.91E+042.72E+033.75E+042.76E+03最大剪力2.97E+047.60E+031.71E+045.12E+031.74E+044.52E+0323最大弯矩3.87E+046.08E+033.09E+043.70E+032.93E+043.25E+03最大剪力1.97E+047.35E+039.50E+034.95E+039.71E+034.35E+0324最大弯矩2.66E+049.25E+032.14E+046.88E+031.96E+046.93E+03最大剪力8.17E+031.30E+046799.23E+036848.65E+0325最大弯矩4.88E+039.11E+032.21E+038.33E+0310.18.42E+03最大剪力-1.25E+041.47E+04-1.48E+041.06E+04-1.55E+041.01E+0426最大弯矩1.70E+049.93E+031.26E+047.47E+031.04E+047.57E+03最大剪力2.36E+031.35E+04-3.58E+039.72E+03-4.39E+039.22E+0327最大弯矩1.88E+045.94E+031.38E+044.44E+031.15E+044.53E+03最大剪力4.25E+039.61E+03-2.13E+036.73E+03-2.99E+036.21E+0328最大弯矩1.02E+046.73E+036.61E+035.02E+034.31E+034.62E+03最大剪力-4.68E+038.84E+03-8.90E+036.16E+03-9.83E+035.65E+0329最大弯矩-5.00E+035.48E+03-8.42E+035.13E+03-1.10E+045.27E+03最大剪力-2.11E+041.03E+04-2.11E+047.35E+03-2.24E+046.89E+0330最大弯矩8.15E+033.98E+033.12E+033.84E+034744.01E+03最大剪力-3.80E+038.51E+03-7.90E+036.05E+03-9.45E+035.63E+0331最大弯矩8.41E+031.25E+033.20E+031.29E+035101.43E+03最大剪力-3.45E+035.25E+03-7.61E+033.54E+03-9.20E+033.08E+0332最大弯矩-2.40E+032.94E+03-6.67E+031.69E+03-9.35E+031.35E+03最大剪力-1.59E+044.24E+03-1.70E+042.79E+03-1.86E+042.34E+0333最大弯矩-4.19E+034.14E+03-8.64E+033.98E+03-1.14E+044.16E+03最大剪力-1.65E+048.69E+03-1.74E+046.19E+03-1.93E+045.77E+0334最大弯矩1.19E+04-9015.18E+03-4712.38E+03-241最大剪力4.50E+032.70E+03-9531.75E+03-2.96E+031.38E+0335最大弯矩1.17E+04-1.94E+034.85E+03-1.52E+032.01E+03-1.33E+03-122- 最大剪力5.05E+031.55E+03-1.08E+03698-3.10E+0329636最大弯矩1.45E+0369.7-4.19E+03-800-7.01E+03-1.10E+03最大剪力-4.52E+031.02E+03-9.74E+03236-1.18E+04-16137最大弯矩-2.20E+031.91E+03-7.74E+031.99E+03-1.06E+042.19E+03最大剪力-1.12E+045.97E+03-1.29E+044.17E+03-1.50E+043.78E+0338最大弯矩-6.31E+03-675-1.20E+04-30.1-1.50E+04226最大剪力-1.46E+042.69E+03-1.47E+041.76E+03-1.69E+041.44E+0339最大弯矩3001.07E+03-6.00E+03440-8.89E+03217最大剪力-3.28E+031.78E+03-8.19E+031.08E+03-1.05E+0477140最大弯矩-2071.73E+03-6.20E+03-693-9.03E+03-968最大剪力-6.39E+032.41E+03-8.50E+031.51E+03-1.08E+041.15E+0341最大弯矩-6.94E+03-1.08E+03-1.26E+04-451-1.55E+04-228最大剪力-1.47E+042.07E+03-1.48E+041.26E+03-1.71E+0491142最大弯矩-2301.63E+03-6.43E+03904-9.32E+03654最大剪力-6.17E+032.34E+03-8.23E+031.48E+03-1.06E+041.15E+0343最大弯矩76.242.7-5.68E+03904-8.57E+031.20E+03最大剪力-5.44E+033.29E+03-7.06E+032.28E+03-9.46E+032.01E+0344最大弯矩1.11E+041.24E+034.54E+038531.72E+03660最大剪力8.10E+031.64E+033.39E+031.05E+031.01E+0378645最大弯矩1.15E+042984.79E+031.05E+032.00E+031.30E+03最大剪力8.46E+033.42E+033.73E+032.35E+031.34E+032.05E+0346最大弯矩2.35E+03-273-3.35E+03539-6.21E+03804最大剪力-2.53E+032.80E+03-4.58E+031.89E+03-6.98E+031.59E+0347最大弯矩-1.92E+03-2.62E+03-6.52E+03-1.47E+03-9.31E+03-1.16E+03最大剪力-3.75E+03282-7.56E+03-126-9.96E+03-37148最大弯矩8.95E+03-2.59E+033.59E+03-2.51E+03886-2.67E+03最大剪力6.93E+03-2.24E+032.65E+03-2.35E+03321-2.57E+0349最大弯矩8.17E+03-4723.08E+03-658434-834最大剪力6.41E+03-1392.25E+03-498-62-73450最大弯矩-3.12E+03-1.27E+03-7.17E+03-1.37E+03-9.83E+03-1.54E+03最大剪力-4.92E+03-936-8.01E+03-1.21E+03-1.03E+04-1.44E+0351最大弯矩-2.13E+03-3.65E+03-5.71E+03-2.32E+03-8.26E+03-1.97E+03最大剪力-3.71E+03-802-6.43E+03-1.02E+03-8.67E+03-1.22E+0352最大弯矩1.99E+04-1.05E+041.46E+04-7.09E+031.24E+04-6.69E+03最大剪力1.78E+04-6.17E+031.41E+04-5.80E+031.20E+04-5.96E+0353最大弯矩1.88E+04-5.09E+031.38E+04-3.82E+031.16E+04-3.93E+03最大剪力1.72E+04-3.79E+031.34E+04-3.68E+031.13E+04-3.85E+0354最大弯矩7.79E+03-4.80E+034.58E+03-4.43E+032.31E+03-4.53E+03最大剪力6.90E+03-4.46E+034.17E+03-4.28E+032.08E+03-4.45E+0355最大弯矩1.96E+04-8.82E+031.48E+04-5.85E+031.26E+04-5.45E+03最大剪力1.79E+04-4.79E+031.44E+04-4.55E+031.24E+04-4.70E+0356最大弯矩3.24E+04-6.66E+032.58E+04-4.15E+032.40E+04-3.70E+03最大剪力2.87E+04-3.04E+032.56E+04-2.85E+032.39E+04-2.95E+03-122- 57最大弯矩4.95E+04-7.30E+033.91E+04-4.62E+033.74E+04-4.16E+03最大剪力4.31E+04-3.59E+033.90E+04-3.32E+033.74E+04-3.42E+0358最大弯矩4.86E+04-3.01E+033.87E+04-1.89E+033.71E+04-1.93E+03最大剪力4.27E+04-2.05E+033.86E+04-1.96E+033.70E+04-2.08E+0359最大弯矩3.63E+04-5.87E+032.94E+04-1.66E+032.79E+04-1.21E+03最大剪力3.23E+04-2.35E+032.94E+04-2.23E+032.78E+04-2.34E+0360最大弯矩5.75E+04-7.47E+034.62E+04-5.49E+034.50E+04-5.51E+03最大剪力4.97E+04-5.86E+034.62E+04-5.35E+034.50E+04-5.43E+0361最大弯矩5.95E+04-1.33E+044.83E+04-9.14E+034.72E+04-8.65E+03最大剪力5.10E+04-8.66E+034.82E+04-7.85E+034.72E+04-7.91E+0362最大弯矩5.71E+04-1.82E+044.78E+04-1.35E+044.72E+04-1.35E+04最大剪力4.75E+04-1.50E+044.71E+04-1.35E+044.68E+04-1.35E+0463最大弯矩4.20E+042.03E+043.70E+041.52E+043.67E+041.52E+04最大剪力1.20E+042.47E+045.35E+031.77E+048.18E+031.70E+0464最大弯矩8.45E+042.05E+046.88E+041.45E+046.84E+041.40E+04最大剪力5.75E+042.20E+043.89E+041.57E+044.11E+041.50E+0465最大弯矩6.14E+041.76E+045.10E+041.31E+045.05E+041.31E+04最大剪力3.57E+042.18E+042.19E+041.56E+042.38E+041.49E+0466最大弯矩5.64E+041.19E+044.62E+048.71E+034.52E+048.70E+03最大剪力3.39E+041.58E+041.98E+041.12E+042.09E+041.05E+0467最大弯矩5.87E+041.30E+044.72E+049.70E+034.60E+049.69E+03最大剪力3.78E+041.68E+042.24E+041.20E+042.30E+041.13E+0468最大弯矩4.86E+041.06E+043.80E+047.82E+033.61E+047.81E+03最大剪力3.05E+041.40E+041.64E+049.92E+031.60E+049.33E+0369最大弯矩3.10E+049.27E+032.30E+046.88E+032.04E+046.90E+03最大剪力1.47E+041.25E+044.16E+038.89E+032.98E+038.36E+0370最大弯矩4.15E+047.51E+032.93E+045.71E+032.60E+045.83E+03最大剪力2.70E+041.08E+041.35E+047.73E+031.16E+047.29E+0371最大弯矩4.14E+045.38E+032.89E+043.36E+032.55E+043.01E+03最大剪力2.74E+046.17E+031.39E+044.26E+031.19E+043.85E+0372最大弯矩3.48E+043.46E+032.32E+042.81E+031.97E+043.05E+03最大剪力2.24E+046.87E+031.06E+044.89E+038.45E+034.54E+0373最大弯矩3.07E+0461.71.98E+044301.67E+04786最大剪力2.07E+043.60E+031.06E+042.56E+038.63E+032.31E+0374最大弯矩1.83E+04-3.12E+031.10E+04-1.83E+038.49E+03-1.38E+03最大剪力1.02E+046624.59E+033703.02E+0319175最大弯矩1.17E+04-4.99E+036.81E+03-3.15E+034.96E+03-2.63E+03最大剪力6.28E+03-8692.39E+03-9131.24E+03-1.05E+0376最大弯矩7.41E+03-2.58E+033.91E+03-2.38E+032.46E+03-2.32E+03最大剪力-2.54E+03-1.29E+03-2.18E+03-1.26E+03-1.92E+03-1.38E+0377最大弯矩7.13E+03-5.73E+034.77E+03-3.57E+034.26E+03-2.97E+03最大剪力2.90E+03-1.19E+032.68E+03-1.17E+032.77E+03-1.29E+0378最大弯矩1.60E+032.45E+031.21E+031.86E+031.21E+031.86E+03-122- 最大剪力1.52E+035.78E+032953.37E+033122.72E+0379最大弯矩-325-159-1.07E+03-16.3-1.49E+0351.8最大剪力-5.02E+03478-3.90E+03372-3.65E+0333980最大弯矩-1.01E+03-35.8-1.37E+0363.1-1.63E+03114最大剪力-4.14E+03469-3.19E+03362-3.03E+0333781最大弯矩-1.36E+0393.1-1.46E+03146-1.59E+03179最大剪力-3.29E+03462-2.52E+03355-2.42E+0333782最大弯矩-1.19E+03315-1.17E+03319-1.23E+03337最大剪力-2.28E+03594-1.74E+03452-1.68E+0344183最大弯矩-7022.93-69035.5-72850.5最大剪力-1.45E+03180-1.10E+03140-1.06E+0312884最大弯矩-738340-663306-675304最大剪力-1.16E+03441-902328-88832285最大弯矩104-0.78685.59.8665.814最大剪力-11273.9-74.457.9-65.151.186最大弯矩3828325.22603.1263最大剪力-352452-224321-18730487最大弯矩830-76.4627-47.6600-40.7最大剪力5289.354933.21497-2.7588最大弯矩546195421147399150最大剪力27429722320624419289最大弯矩806453611307592291最大剪力66654649437849434990最大弯矩1.26E+03-161917-105880-93.1最大剪力819-33.7759-37.8762-44.491最大弯矩769233585171567175最大剪力61236745525646023892最大弯矩1.38E+03-243980-163940-145最大剪力930-69.5852-71.2852-78.493最大弯矩771194586140569142最大剪力63929446820746819394最大弯矩1.26E+03-443920-295883-273最大剪力861-202779-195775-20595最大弯矩810-175614-116594-109最大剪力630-87561-84.6546-89.196最大弯矩549138423107402110最大剪力32821524015424614497最大弯矩833-289629-200602-190最大剪力575-159509-150500-15598最大弯矩4059.52760.54.8864最大剪力-392158-245110-20098.799最大弯矩105-25387-22267.3-219最大剪力-10.9-23321.4-21221.4-212-122- 100最大弯矩-73830.7-66318-67514.5最大剪力-1.15E+03143-82786.3-80264.5101最大弯矩-704-314-691-308-729-319最大剪力-745-265-724-274-756-292102最大弯矩-1.19E+03-13.9-1.17E+03-73.9-1.23E+03-107最大剪力-1.19E+03-13.9-1.17E+03-73.9-1.23E+03-107103最大弯矩-1.36E+03272-1.46E+03151-1.59E+03100最大剪力-1.36E+03272-1.46E+03151-1.59E+03100104最大弯矩-1.01E+03395-1.37E+03231-1.63E+03163最大剪力-1.54E+03402-1.39E+03232-1.65E+03164图6.1～6.3是荷载组合剪力、弯矩、轴力包络图：图6.1承载能力极限状态荷载组合Ⅰ剪力包络图(kN)图6.2承载能力极限状态荷载组合Ⅰ弯矩包络图(kN.m)图6.3承载能力极限状态荷载组合Ⅰ轴力包络图(kN）-122- 第七章截面强度验算根据《公路桥规》的规定，要对控制截面进行强度验算，强度验算包括正截面强度验算和斜截面强度验算，本设计只进行正截面强度验算。本设计为预制吊装桥梁，只取控制截面计算，由于篇幅有限，此处仅对14号（边跨跨中）、23号（主墩支点）、36号（中跨跨中）截面进行正截面强度验算。7.1截面强度计算原理根据《公路桥规》（JTGD60—2004）的规定，要对控制截面进行强度验算，强度验算包括正截面强度验算和斜截面强度验算，而对于变截面受弯构件，仅对正截面强度进行验算。此处列出计算公式及方法。一、基本理论预用力混凝土受弯构件验算原则基本上与普通钢筋混凝土构件相同：当预用力钢筋的含筋量配置适当时，受拉区混凝土开裂退出工作，预应力钢筋和非预应力钢筋分别达到各自的抗拉设计强度Ry和Rg；受压区混凝土应力达到抗压设计强度Ra，非预应力钢筋达到其抗压设计强度，并假定受压区的混凝土应力按矩形分布。但受压区布有预应力钢筋时，其应力却达不到抗压设计强度，这就是与普通钢筋混凝土构件的唯一区别。根据《桥规》（JTGD60—04）,，可按下式计算：（1）矩形截面或翼缘位于受拉边的T形截面受弯构件，其正截面抗弯承载能力应符合下列规定：……（7-1）混凝土受压区高度x应按下式计算：………………（7-2）截面受压区高度应符合下列要求：…………………………………………（7-3）当受压区配有纵向普通钢筋和预应力钢筋，且预应力钢筋受压时…………………………………………（7-4）当受压区仅配有纵向普通钢筋或普通钢筋和预应力筋，且预应力钢筋受拉时-122- …………………………………………（7-5）（2）翼缘位于受压区的T形截面或Ⅰ形截面受弯构件，其正截面抗弯承载力应按下列规定进行计算：（一）当符合下列条件时………………（7-6）应以宽度为的矩形截面计算即式（6-1-1）计算（二）当不符合式（6-1-6）的条件时，计算应考虑截面腹板受压的作用，其正截面抗弯承载能力应按下列规定计算：（7-7）7.2强度验算一、14号截强度计算属于单筋截面，计算时考虑拉区预用力筋的作用。判断截面类型：≤左边=1260×0.000139×74=12.96≤右边=22.4×0.35×3.1=24.304满足条件，按宽度为矩形截面计算，其中性轴位置由下式确定：=代入数据计算得=0.187ma=为防止构件出现脆性破坏，应对受压区高度进行限制，根据《公路桥规》第5.1.6条规定X≤ξigh0，查表得：ξig=0.4，则：0.187m〈0.4×1.51=0.604m，故满足。采用计算抵抗弯矩。=×22.4×310×18.7×（1519.35）=14.71×103kN·m>=6.22×103kN·m满足正截面强度。-122- 二、23号截面强度计算属于单筋截面，计算时考虑拉区预用力筋的作用。判断截面类型：≥左边=1260×0.000139×70=12.25≥右边=22.4×0.4×(1+1.625)/2=11.76满足条件，按T形截面计算，其中性轴位置由下式确定：=代入数据计算得=0.393m又，a=12.5cm为防止构件出现脆性破坏，应对受压区高度进行限制，根据《公路桥规》第5.1.6条规定X≤ξigh0，查表得：ξig=0.4，则：0.393m〈0.4×1.625=0.65m，故满足。采用计算抵抗弯矩。=14.01×103kN·m>=1.13×103kN·m满足正截面强度。三、41号截面强度计算属于单筋截面，计算时考虑拉区预用力筋的作用。判断截面类型：≤左边=1260×0.000139×68=11.910≤右边=22.4×0.35×3.1=24.304满足条件，按宽度为矩形截面计算，其中性轴位置由下式确定：=代入数据计算得=0.172m又为防止构件出现脆性破坏，应对受压区高度进行限制，根据《公路桥规》第5.1.6条规定X≤ξigh0，查表得：ξig=0.4，则：0.172m〈0.4×1.531=0.6124m，故满足。采用计算抵抗弯矩。>-122- 满足正截面强度。第八章应力、变形及其他验算8.1预加应力阶段各截面混凝土法向应力计算1.计算公式由《桥规》（JTGD62—2004）公式6.1.5-4知，考虑本设计截面的上下缘混凝土正应力为：…………………………（8-1）式中：—净截面面积；—后张法构件的预应力钢筋和普通钢筋的合力；—净截面惯性矩；—净截面重心至预应力钢筋和普通钢筋合力点的距离；—净截面重心至计算纤维处的距离；—由预加力在后张法预应力混凝土连续梁等超静定结构中产生的次弯矩。现在将梁在预加应力阶段混凝土法向应力计算结果列于表表8.1各施工阶段施工阶段应力计算结果各施工阶段混凝土应力表（Mpa）施工阶段号上缘最大上缘最小下缘最大下缘最小10-0.2150021.7501.75-0.29231.6501.65-0.18941.3101.31053.4903.49-0.37163.3803.38-0.30572.8302.83086.6806.68-1.2396.5806.58-1.11105.505.5-0.23118.0508.05-1.17-122- 127.9107.91-1.04136.5206.520148.9408.94-0.605158.8108.81-0.434167.107.10179.6409.64-0.745189.5109.51-0.495197.9807.980209.4109.41-0.556219.9509.95-0.653229.92-2.19E-029.92-0.648239.27-2.45E-029.27-0.441249.14-0.2149.14-0.489258.71-1.178.71-1.17268.7108.71-0.438279.3409.34-0.453281101102910.7010.703010.7010.703110.7010.703210.9010.903311.8011.803412.2012.203512.4012.403612.4012.403711.7011.703811.6011.603910.3010.302.应力验算主梁采用50号混凝土，施工阶段混凝土达到100%设计强度后方可张拉预应力束。且主梁预拉区均配置非预应力钢筋。根据《桥规》（JTGD62—2004）第7.2.8条的规定，则有：混凝土压应力≤0.7=0.7×32.4=22.68Mpa混凝土拉应力≤1.15=1.15×2.65=3.05Mpa由表8.1~8.3中数值可知，主梁在施工阶段混凝土法向压应力最大值为：=11.8Mpa<[σha]=22.68Mpa混凝土法向拉应力最值为：=0.918Mpa<[σhl]=3.05Mpa-122- ∴应力验算满足要求。8.2正常使用阶段混凝土法向应力及主应力计算与验算8.2.1计算方法后张法受弯构件，在其承受后加恒载及活载作用时，一般情况下构件预留孔道均已压浆凝固，认为钢筋与混凝土已成整体，并能有效地共同工作，故在后加恒载与活载作用时，均按换算截面来计算。由《桥规》（JTGD62—2004）公式7.1.3-1得计算公式如下：混凝土法向压应力和拉应力　　　　　　　　　　（8-2）式中：—按作用标准值组合计算的弯矩值；—构件换算截面重心轴至受压区或受拉区计算纤维处的距离。8.2.2计算结果本设计采用专用程序进行计算，中梁计算结果见表8.2表8.2正常使用阶段荷载组合I应力计算结果单元号节点号应力上缘正应力下缘正应力最大主应力最大最小最大最小主压应力主拉应力11应力属性000000容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是22应力属性2.342.332.032.022.34-1.54E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是33应力属性3.263.162.72.593.27-0.129容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是44应力属性4.093.784.363.934.36-0.209容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是55应力属性4.353.954.13.554.35-0.161容许值16.2-1.8516.2-1.8519.4-1.33-122- 是否满足要求是是是是是是66应力属性6.275.663.452.636.27-9.35E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是77应力属性7.977.074.433.247.97-0.195容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是88应力属性8.797.615.173.648.79-4.02E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是99应力属性8.527.244.723.128.52-0.201容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1010应力属性9.317.994.913.269.31-4.70E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1111应力属性9.678.315.33.679.67-6.77E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1212应力属性10.28.845.233.6610.2-0.122容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1313应力属性10.79.455.183.7310.7-0.191容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1414应力属性9.78.555.584.219.7-0.33容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1515应力属性9.438.235.013.729.43-0.304容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1616应力属性5.724.822.41.435.72-9.61E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1717应力属性4.974.073.182.184.97-9.75E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是18105应力属性9.137.974.853.619.13-0.272容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是1919应力属性9.928.735.213.879.92-0.296容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是-122- 2020应力属性8.937.724.843.458.93-0.454容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2121应力属性6.315.282.911.796.31-1.12E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2222应力属性6.365.342.861.766.36-8.68E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2323应力属性9.388.26.284.99.38-6.02E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2424应力属性7.856.656.24.777.85-0.343容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2525应力属性6.195.037.966.577.96-0.56容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2626应力属性4.453.454.143.054.45-6.69E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2727应力属性4.553.574.032.974.55-2.83E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2828应力属性6.775.637.626.277.62-0.173容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是2929应力属性5.013.969.618.289.61-0.396容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3030应力属性3.812.955.144.225.14-2.90E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3131应力属性3.812.985.124.225.12-6.97E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3232应力属性5.524.589.838.639.83-4.26E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3333应力属性4.063.249.248.129.24-0.612容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3434应力属性3.673.144.253.674.25-1.18E-03-122- 容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3535应力属性3.633.134.283.734.28-1.77E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3636应力属性5.274.718.918.168.91-5.70E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3737应力属性3.282.818.137.478.13-0.314容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3838应力属性1.891.728.117.728.11-3.51E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是3939应力属性1.171.024.454.214.45-4.30E-04容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4040应力属性1.161.014.494.264.49-9.55E-04容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4141应力属性1.91.738.247.888.24-6.90E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4242应力属性3.463.287.657.267.65-1.56E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4343应力属性4.814.338.958.288.95-6.78E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4444应力属性3.583.114.283.764.28-2.80E-04容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4545应力属性3.633.134.273.724.27-4.05E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4646应力属性5.374.758.858.028.85-3.57E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4747应力属性5.564.7310.18.9410.1-4.96E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是4848应力属性3.823.025.034.165.03-1.57E-02容许值16.2-1.8516.2-1.8519.4-1.33-122- 是否满足要求是是是是是是4949应力属性3.812.975.114.225.11-4.21E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5050应力属性5.494.5108.7310-9.65E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5151应力属性6.395.3310.38.9210.3-5.11E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5252应力属性4.593.633.922.874.59-4.54E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5353应力属性4.543.564.022.964.54-2.28E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5454应力属性6.595.417.926.517.92-0.214容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5555应力属性8.997.88.136.748.99-0.184容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5656应力属性9.137.916.75.289.13-8.09E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5757应力属性6.335.322.821.746.33-1.26E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5858应力属性6.335.312.881.786.33-6.30E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是5959应力属性9.298.076.465.029.29-5.45E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6060应力属性10.18.865.293.9110.1-0.174容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6161应力属性9.918.725.223.889.91-0.301容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6262应力属性5.424.542.491.545.42-8.70E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是-122- 6363应力属性5.224.33.132.125.22-0.102容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6464应力属性8.727.643.32.278.72-0.417容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6565应力属性9.448.235.023.739.44-0.325容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6666应力属性9.688.535.64.239.68-0.336容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6767应力属性9.528.254.733.279.52-0.477容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6868应力属性8.877.554.753.188.87-0.415容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是6969应力属性6.875.525.113.486.87-0.457容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7070应力属性8.146.824.462.818.14-0.523容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7171应力属性8.57.224.753.148.5-0.146容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7272应力属性7.266.084.362.847.26-0.453容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7373应力属性6.435.543.572.396.43-0.143容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7474应力属性4.734.133.873.054.73-2.63E-02容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7575应力属性4.353.954.113.554.35-0.159容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7676应力属性4.083.784.363.934.36-0.208容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7777应力属性2.62.51.791.692.6-8.39E-03-122- 容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7878应力属性2.342.332.032.022.34-6.18E-03容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是7917应力属性7.311.7421.517.721.5-0.356容许值210-210210-21000是否满足要求是是是是是是8080应力属性7.42.9919.817.219.8-0.235容许值210-210210-21000是否满足要求是是是是是是8181应力属性14-5.71150137150-5.71容许值210-210210-21000是否满足要求是是是是是是8282应力属性32.817.2126115126-0.899容许值210-210210-21000是否满足要求是是是是是是8383应力属性48.434.410493.3104-0.401容许值210-210210-21000是否满足要求是是是是是是8484应力属性52.441.596.385.796.3-0.287容许值210-210210-21000是否满足要求是是是是是是8585应力属性74.664.268.257.974.6-2.39E-02容许值210-210210-21000是否满足要求是是是是是是8686应力属性71.461.970.458.771.4-4.88E-03容许值210-210210-21000是否满足要求是是是是是是8787应力属性86.877.350.540.386.8-0.109容许值210-210210-21000是否满足要求是是是是是是8888应力属性76.467.860.548.876.4-0.242容许值210-210210-21000是否满足要求是是是是是是8989应力属性80.471.856.745.680.4-0.463容许值210-210210-21000是否满足要求是是是是是是9090应力属性90.280.944.934.990.2-0.224容许值210-210210-21000是否满足要求是是是是是是9191应力属性82.374.752.440.782.3-0.172容许值210-210210-21000-122- 是否满足要求是是是是是是9292应力属性96.487.138.228.296.4-3.27E-03容许值210-210210-21000是否满足要求是是是是是是9393应力属性82.474.852.440.782.4-8.78E-04容许值210-210210-21000是否满足要求是是是是是是9494应力属性91.181.745.635.691.1-0.258容许值210-210210-21000是否满足要求是是是是是是9595应力属性80.171.556.245.180.1-0.577容许值210-210210-21000是否满足要求是是是是是是9696应力属性76.467.960.448.776.4-0.597容许值210-210210-21000是否满足要求是是是是是是9797应力属性88.378.751.941.588.3-0.151容许值210-210210-21000是否满足要求是是是是是是9898应力属性71.46270.458.771.4-8.50E-02容许值210-210210-21000是否满足要求是是是是是是9999应力属性76.766.270.359.976.7-1.20E-02容许值210-210210-21000是否满足要求是是是是是是100100应力属性52.541.796.485.896.4-4.43E-02容许值210-210210-21000是否满足要求是是是是是是101101应力属性50.936.810695.8106-0.477容许值210-210210-21000是否满足要求是是是是是是102102应力属性32.917.3126115126-0.544容许值210-210210-21000是否满足要求是是是是是是103103应力属性7.84.2618.316.218.3-4.02E-02容许值210-210210-21000是否满足要求是是是是是是104104应力属性7.42.9919.817.219.8-0.102容许值210-210210-21000是否满足要求是是是是是是10583应力属性-259-286-259-2860-286容许值0-4650-46500是否满足要求是是是是是是-122- 10685应力属性-243-291-243-2910-291容许值0-4650-46500是否满足要求是是是是是是10787应力属性-236-294-236-2940-294容许值0-4650-46500是否满足要求是是是是是是10890应力属性-233-295-233-2950-295容许值0-4650-46500是否满足要求是是是是是是10992应力属性-232-294-232-2940-294容许值0-4650-46500是否满足要求是是是是是是11094应力属性-234-295-234-2950-295容许值0-4650-46500是否满足要求是是是是是是11197应力属性-236-294-236-2940-294容许值0-4650-46500是否满足要求是是是是是是11299应力属性-244-292-244-2920-292容许值0-4650-46500是否满足要求是是是是是是113101应力属性-258-286-258-2860-286容许值0-4650-46500是否满足要求是是是是是是11418应力属性8.337.273.352.348.33-0.398容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是115106应力属性9.127.964.863.629.12-0.268容许值16.2-1.8516.2-1.8519.4-1.33是否满足要求是是是是是是（单位：Mpa）8.2.3应力验算1．混凝土法向应力限制值计算主梁按应力混凝土构件设计，按《桥规》（JTJD62-2004）第7.1.5条规定有：（1）混凝土法向压应力未开裂构件≤0.5=0.5×32.4=16.2Mpa（2）混凝土法向拉应力≥02．混凝土主拉力限制值计算-122- 按《桥规》（JTJD62-2004）第7.1.6条规定有：混凝土主压应力≤0.6=0.6×32.4=19.44Mpa混凝土主拉应力≤0.4=0.5×2.65=1.06Mpa的区段按构造要求设置箍筋。3．应力验算由前面的表格的数值可知，使用阶段混凝土法向压应力最大值为：荷载组合I=12.4Mpa<[]=16.2Mpa混凝土法向拉应力最大值为：荷载组合I≥0混凝土主压应力最大值为：荷载组合I=12.4Mpa<[]=19.44Mpa混凝土主拉应力最大值为：荷载组合I=0.978Mpa<[]=1.06Mpa显然正常使用阶段主梁混凝土的法向应力与主应力验算全部满足要求。8.3正常使用阶段钢束应力计算与验算8.3.1计算方法与计算使用阶段混凝土法向应力类似，考虑广义活载最不利内力与恒载内力同号和异号两种不利情况。8.3.2计算公式上缘钢束应力：……（8-3）下缘钢束应力：………（8-4）式中：——上（下）缘钢束的平均永存预应力；——预应力钢束弹性模量与混凝土梁弹性模量之比，=19/3.5=5.43；-122- 、——分别为混凝土净截面及换算截面惯矩；——上（下）缘钢束合力作用点至混凝土净截面形心之距离；——上（下）缘钢束合力作用点至混凝土换算截面形心之距离。8.4变形计算与验算预应力混凝土连续梁桥的变形由两部分组成：一部分是预加力作用所产生的变形，即反拱度；另一部分是荷载作用产生的变形即挠度。一般情况下，这两部分变形方向相反，可以利用预加力形成的反拱度来抵消由荷载所产生的挠度。然而，有时会因对预应力产生的反拱度预估不足，造成过分的反拱，反而出现不利的情况。因而，设计中进行变形计算，以避免因变形过大而影响使用功能。采用桥梁博士计算主梁的短期变形、长期变形与预拱度，将计算结果列于表8.3表8.3荷载组合截面挠度与预拱度计算节点号荷载短期效应组合长期竖向挠度(mm)预加应力产生的长期挠度(mm)消除结构自重后结构挠度(mm)预拱度(mm)1-3.43E-020-0.132-0.209200003-0.6310-0.467-0.3314-1.90-1.43-15-2.461-1.86-1.316-4.417-2.6812.87-2135-3.6314.28-27.636-4.188.629-20.425-45.0510-2430-3.866.4411-1622-3.076.612-9.813-2.274.1413-4.676-1.431.8114-2.913-1.080.96915-0.7920-0.4950.1316-0.3390-0.3042.93E-02170.14200-8.77E-0218-0.3410-0.354-0.71919-3.031-1.29-1.5320-4.743-1.69-1.4621-7.346-2.29-1.3222-7.936-2.39-1.2123-8.547-2.5-1.08-122- 24-109-2.75-0.74125-16.616-3.87-0.16526-15.912-4.14-3.6827-16.613-4.24-3.6328-17.513-4.36-3.5929-25.422-5.32-2.8230-23.819-5.9-4.2731-24.620-6-4.232-25.521-6.1-4.0533-30.527-6.6-3.4534-23.421-7.23-2.4335-24.121-7.29-2.2936-24.722-7.34-2.1437-26.224-7.43-1.5838-13.16-7.76-6.83398.88-9-7.77-0.34408.88-9-7.77-0.34418.88-9-7.77-0.3642-12.66-7.76-6.4543-25.924-7.43-1.4844-24.322-7.34-1.8945-23.621-7.29-2.0446-23.120-7.23-2.3347-30.226-6.6-3.5548-25.221-6.1-4.1549-24.320-6-4.150-23.519-5.9-4.2351-25.322-5.32-2.8752-17.213-4.36-3.6453-16.512-4.24-3.6754-15.711-4.14-3.7355-16.416-3.87-0.20456-9.899-2.75-0.73157-8.417-2.5-1.0958-7.816-2.39-1.2159-7.245-2.29-1.3460-4.653-1.69-1.4561-2.961-1.29-1.5262-0.3210-0.354-0.717630.14200-8.77E-0264-0.3580-0.3042.80E-0265-0.820-0.4930.1366-2.963-1.080.943-122- 67-4.736-1.431.7968-9.8914-2.274.1569-16.122-3.076.570-2430-3.866.4471-20.525-45.172-27.736-4.188.6773-21.235-3.6314.274-4.4617-2.6912.875-2.491-1.86-1.376-1.930-1.43-177-0.6390-0.466-0.329781.54E-04001.52E-04799.91E-0200-8.15E-0280-0.37500-0.55881-0.86600-1.2182-2.0700-2.5283-3.1800-3.6884-5.4600-6.0685-7.1700-7.8986-7.8300-8.787-7.44-10-8.4788-6.29-10-7.4789-5.52-10-6.7990-5.73-10-7.0591-6.27-10-7.6792-6.52-10-7.9693-6.27-10-7.6794-5.73-10-7.0495-5.52-10-6.7796-6.29-10-7.4597-7.44-10-8.4598-7.8300-8.6799-7.1700-7.87100-5.4600-6.04101-3.1800-3.67102-2.0700-2.51103-0.86600-1.19104-0.37500-0.553注：变形以向上为正，向下为负。8.4.1变形验算（一）变形验算（1）边跨变形验算-122- 由表8-3可知汽车荷载作用下最大挠度为36mm，发生在10、72号截面处，而挠度限值为：L/600=3300/600=5.5（cm）即有3.6cm〈5.5cm故在汽车荷载作用下变形验算满足要求。（二）中跨变形验算（1）变形验算由表7-3可知汽车荷载作用下最大挠度为30.5mm，发生在33号截面处，而挠度限值为：L/600=5500/600=9.2（cm）即有3.05cm〈9.2cm故在汽车荷载作用下变形验算满足要求。-122- 第九章锚下局部承压承载力计算大跨度的预应力混凝土箱形梁桥，梁的后期预应力束一般要从箱梁的顶板或底板内弯出，在弯出部位设置齿板，并在齿板端部张拉锚固。由于齿板受力集中，局部应力复杂，特别是锚固在梁跨受拉区的底板束，很容易引起底板锚块处混凝土开裂。因此，在设计中应重视局部承压的计算和锚固区域的配筋设计。局部承压是指构件受力表面仅有部分面积来承受压力的受力状态。例如，后张法预应力混凝土构件端部锚固区，桥梁墩（台）帽直接支承支座垫板的部分。采用后拉法施工的永胜大桥就需要计算锚固区的局部承压承载力。9.1剪切理论认为在局部荷载作用下，构件端部的受力特征可以比拟为一个带多根拉杆的拱结构，紧靠成压板下面的混凝土在拱顶部分承受轴向局部荷载和拱顶的侧压力。距承压板较深的混凝土，位于拱拉杆处，承受横向拉力。当局部承压荷载达到开裂荷载时，相当于部分拉杆达到抗拉极限强度，从而产生局部纵向裂缝。荷载继续增加，裂缝延伸，拱机构中更多的拉杆破坏，最终核心混凝土逐步形成剪切破坏的锲形体，拱结构破坏。从上述分析可以看出，局部承压构件在不同受荷阶段存在两种类型的劈裂力：第一种是拱作用引起的横向劈裂力；第二种劈裂力是锲形体形成时引起的。9.2局部承压构件的承载力局部承压构件的承载力由两部分组成，其一由混凝土提供的局部承压承载力。第二部分是间接配筋提供的局部承压承载力。（1）混凝土的局部承压承载力混凝土承受局部受压时的抗压强度比轴心抗压强度要高，混凝土的局部承压强度一般用局部承压强度提高细数乘以轴心抗压强度表示：其中式中：、——混凝土局部受压面积，当局部受压面积有孔洞时，为扣除孔洞后的面积，为不扣除孔洞的面积。-122- ——局部受压时的计算底面积。=3.14×90×90-×3.14×7=5088.9=×3.14=57226.5==3.35混凝土局部承载力计算表达式可写为以下形式：所以（2）间接配筋的局部承压承载能力局部承压区内配置的间接钢筋可采用方格钢筋网或螺旋式钢筋两种形式。本桥选用螺旋式钢筋。螺旋式钢筋的体积配筋率按下式计算：式中：——单根螺旋形钢筋的截面面积；——螺旋形钢筋内表面范围内混凝土核心面积的直径；——螺旋形钢筋的螺距（螺旋形钢筋不应少于4圈）。=3.14×（10/2）×（10/2）=78.5引入系数，则得螺旋筋的承载力：式中：——间接钢筋影响系数，按混凝土强度等级，C50混凝土取=2.0～1.7，中间直线插入取用；-122- ——间接配筋时局部承压承载能力提高系数；——间接配筋范围内的混凝土核心面积，不应大于，且其重心应与重合==3.14×=6358.51根据上述分析，将（1）、（2）中所算的结果相加，即可求得配置间接钢筋的混凝土局部承压构件的承载力计算一般表达式：式中：——局部受压面积上的局部压力设计值；对后张拉构件的锚头局部受压区可取1.2倍张拉时的最大压力；——混凝土局部承压强度提高系数；——混凝土局部承压修正系数，C50～C80取1.0～0.76，中间直线插入取值。1×1.2×1395=×5088.9所以满足要求-122- 参考文献[1]徐岳、王亚君、万振江主编.预应力连续梁桥设计[M].北京:人民交通出版社,2000.[2]范立础主编.预应力混凝土连续梁[M].北京:人民交通出版社,1988[3]陈忠延主编.土木工程专业毕业设计指南桥梁分册[M].北京:中国水利水电出版社,2000[4]叶见曙主编.结构设计原理[M].北京：人民交通出版社,1996[5]张树仁主编.钢筋混凝土及预应力钢筋混凝土桥梁结构设计原理[M].北京：人民交通出版社,2004.[6]姚玲森主编.桥梁工程[M].京:人民交通出版社,1985[7]刘鸿文主编.材料力学[M].京:高等教育出版社,1991[8]包世华主编.结构力学[M].汉:武汉工业大学出版社,2000[9]杨炳成主编.公路桥梁电算[M].北京:人民交通出版社,2000[10]胡肇滋主编.桥跨结构简化分析——荷载横向分布[M].北京:人民交通出版社,1996[11]黄绳武主编.桥梁施工及组织管理（上册）[M].北京:人民交通出版社,1999-122- 致谢毕业设计无疑是对我四年来所学知识的一次检阅，对我的动手操作能力、信息搜集能力、文字表达能力等都是一次不小的锻炼。通过此毕业设计，使我比较系统地学习了桥梁设计的各个步骤，深刻地认识到作为一名公路桥梁设计工作者的重任，首先要具有扎实的专业基础知识、全面的专业知识以及过硬的计算机软件应用能力。由于我的基础知识不是很扎实，在设计上拖了一些后腿。因此，在以后的工作中应加强这方面的学习和提高。其次是要具备严谨的科学态度和踏实的工作作风，公路桥梁的初步设计看似很简单，其实是一项工作量大而且极细致的工作，每一环节的设计密切联系，环环相扣，而且能看出一个人对知识的驾驭能力。如在这次毕业设计中，由于自己部分知识学得不扎实，在设计中走了一些本不该走的弯路，给我很深刻的教训。再次是要做到理论与实践相结合。公路桥梁设计有很多东西都是在实践的基础上总结出来的，设计中我尽量做到把规范与实际相结合，体现出设计的合理性。最后是要有一个积极思考的大脑，在设计过程中遇到困难是难免的，关键是怎样发挥主观能动性，勇于面对困难，合理地解决问题。而不是盲目的、消极的应对，这就需要一个非常清醒的，善于思考的大脑。在这次毕业设计中，感谢老师以及路桥教研室的其他老师对我的设计给予了热心的指导，同小组以及专业的同学在设计中也给了我许多帮助，使我得以如期、顺利地完成毕业设计，在此深表感谢！-122-'