大跨连续梁计算书.doc

计 算 书工程名称：231省道建湖段黄沙港大桥项目名称：黄沙港大桥40+60+40 工程编号：S-1-3 设计阶段： 施工图设计 构件名称：大跨预应力混凝土连续箱梁 设计： 1 工程概况2 计算依据和内容2.1计算依据2.1.1 现行国家及行业有关法规、标准、规程、规范。2.2计算内容2.2.1 使用阶段支座反力计算2.2.2 承载能力极限状态正截面强度验算2.2.3 正常使用状态正截面、斜截面抗裂验算2.2.4 结构刚度验算3 技术标准3.1技术标准3.1.1道路等级：公路1级3.1.2桥梁宽度：桥梁宽度为12m，0.5+10.75+0.75=12m。3.1.3荷载标准：公路1级。3.1.4桥梁设计安全等级结构重要性系数=1.1。3.1.5环境类别环境类别为I类。3.2设计规范3.2.1公路桥涵设计通用规范（JTG D60-2023）3.2.2公路钢筋混凝土及预应力混凝土桥涵设计规范（JTG D62-2023）3.2.3公路桥涵施工技术规范（JTJ 041-2023）3.2.4城市桥梁设计荷载标准（CJJ 77-98）3.2.5城市桥梁设计准则（CJJ11-93）3.2.6公路工程技术标准（JTG B01-2023）3.2.7公路工程质量检查评估标准（JTG F80/1-2023）4 设计参数4.1 重要材料及其设计参数4.1.1 混凝土预应力混凝土梁上部结构采用C50混凝土；桥面铺装采用C40混凝土。标号容重（kN/m3）fcd(MPa)ftd(MPa)E(MPa)泊松比C5026.022.41.833.451040.21.010-5C4026.018.41.653.251040.21.010-5混凝土的收缩徐变参数：加载龄期：28天 4.1.2 预应力钢束预应力钢束采用直径为15.2mm的预应力钢绞线，重要力学性能：极限抗拉强度：Rby=1860MPa；张拉控制应力：0.75Rby=1395MPa；弹性模量：E=1.95105MPa；钢筋松弛率：0.035；一端锚具变形及钢束回缩值：6mm。预应力连续箱梁的预应力管道采用性能优良的塑料波纹管。=0.25，k=0.0015；4.1.3 钢筋设计用钢筋为R235钢筋（公称直径小于12mm）和HRB335钢筋（公称直径大于等于12mm）两种，R235钢筋必须符合国家标准（GB130131991）的有关规定；HRB335钢筋必须符合国家标准（GB14991998）的有关规定。钢筋种类容重（kN/m3）fsk(MPa)fsd(MPa)E(MPa)泊松比R23578.52351952.11050.31.010-5HRB33578.53352802.01050.31.010-54.2设计荷载取值4.2.1恒载(1) 一期恒载一期恒载涉及箱梁材料重量，混凝土容重取26kN/m3。(2) 二期恒载二期恒载为人行道栏杆及桥面铺装、人行道。其中：防撞护栏及波形护栏31kN/m，车行道桥面铺装为9沥青混凝土+6cm现浇混凝土（44kN/m3），合计75KN/m。4.2.2活载车行道宽度为10.75m，计算取3车道1级车道荷载；横向分布系数： 3x1.15x0.78=2.691；冲击系数按照桥梁通用规范取值。4.2.3温度荷载混凝土体系升温：25，混凝土体系降温：-25。日照温差遵照公路桥涵设计通用规范（JTGD60-2023）取值。4.2.4沉降不均匀沉降按照1cm取值。4.3施工阶段主桥为挂篮悬浇施工，根据主桥施工流程，计算时全桥施工过程共提成23个阶段，详见表1-2。表1-2 主桥施工流程表施工阶段编号施工状态描述1安装施工托架、主墩处永久支座、施工过程临时固结，浇筑墩顶0号块，张拉0号块预应力2安装挂篮、挂篮加载准备浇筑1号块 3悬臂浇筑1号块，张拉相应预应力4挂篮前移、加载，准备浇筑2号块5悬臂浇筑2号块，张拉相应预应力17悬臂浇筑8号块及浇筑边跨合现浇段，张拉相应预应力18在支架上架设边跨合笼吊篮，同时拆除挂篮19浇筑边跨合笼段，边跨合拢，张拉相应预应力束20架设中跨合拢段吊篮，施加中跨合拢段临时压重，浇筑中跨合笼段21拆除中墩临时支座，张拉钢束，中跨合拢22现浇桥面调平层、铺设桥面铺装及安装护栏23收缩徐变3650天5 计算概述5.1计算方法总体静力计算根据桥梁施工流程划分结构计算阶段，根据荷载组合规定的内容进行应力、主梁极限承载力计算，验算结构在运营阶段应力、主梁极限承载力及整体刚度是否符合规范规定。总体计算采用桥梁博士V3.1平面杆系。5.2荷载组合5.2.1承载能力极限状态组合一、组合：基本组合。按规范JTG D602023第4.1.6条规定。按此组合验算结构的承载能力极限状态的强度。5.2.2正常使用极限状态内力组合一、组合：长期效应组合。按规范JTG D602023第4.1.7条规定。二、组合：短期效应组合。按规范JTG D602023第4.1.7条规定。三、组合：标准值组合。6 40+60+40m连续箱梁纵向整体计算分析 图6.1箱梁断面图（单位：mm）6.1 计算模型计算模型如下图所示。全桥共132个单元。图1-1 主桥计算模型图1-2计算模型中钢束图采用悬臂浇筑施工，=0.25，k=0.0015。6.2 支座反力全桥支座反力汇总表（kN）墩台序号结构重力汽车MaxQ汽车MinQ支座沉降均匀温度梯度温度标准组合支反力maxminmaxminmaxminmaxmin233401730-399100-71.70.544-0.68183-91.65490271040189002970-336191-2190.679-0.54491.5-183224001810094189002970-337191-2190.682-0.54591.8-184224001810013233401720-400100-71.70.545-0.681183-91.7547027006.3 持久状况承载能力极限状态计算构件按持久状况承载能力极限状态设计，应采用基本组合（桥博承载力组合1，强度验算）对构件的承载力进行计算。(1)正截面抗弯承载力验算按照规范JTG D62-2023的第5.1.1-5.2.5条规定进行正截面抗弯承载力验算。单位：kN-m验算截面的设计弯矩均小于截面极限承载弯矩，结构受力安全，正截面强度满足设计规范规定。(2)斜截面抗剪承载力验算抗剪计算汇总结果XV箍筋V预应力总抗力设计剪力VR/Vd满足尺寸0最大剪力00000是是0最小剪力00000是是1最大剪力11581.41912.813494.248062.808是是1最小剪力13248.31912.815161.12039.17.435是是2最大剪力6103.91912.88016.73737.82.145是是2最小剪力11404.4914.812319.21786.36.896是是3最大剪力6906.91194.88101.73747.72.162是是3最小剪力6722.5914.87637.31440.95.301是是4最大剪力6907.9926.67834.53742.92.093是是4最小剪力7061.4795.57856.916490.061是是5最大剪力7061.4597.47658.81978.93.87是是5最小剪力-7061.4-597.4-7658.8-293.526.092是是6最大剪力6910.9263.87174.71581.44.537是是6最小剪力-6910.6-263.8-7174.5-58912.182是是7最大剪力7018.107018.11175.65.97是是7最小剪力-70180-7018-982.47.144是是8最大剪力7048.9891.67940.4828.69.582是是8最小剪力6922.106922.1910.77.601是是9最大剪力7193.4891.68084.9477.616.929是是9最小剪力7017.407017.4606.311.574是是10最大剪力7010523753315050.212是是10最小剪力7060.907060.9279.825.235是是11最大剪力-7233.3-44.1-7277.4-231.531.441是是11最小剪力-7061.40-7061.4-49.5142.682是是12最大剪力-7265.20-7265.2-580.712.51是是12最小剪力-7061.40-7061.4-353.619.968是是13最大剪力-7128.7-143.8-7272.5-850.28.554是是13最小剪力-7090.90-7090.9-711.29.971是是14最大剪力7171.207171.21093.76.557是是14最小剪力-7171.30-7171.3-10766.665是是15最大剪力7182.414728654.4754.811.465是是15最小剪力-7182.4-1472-8654.4-1462.55.917是是16最大剪力7176.214728648.2397.921.734是是16最小剪力-7176.2-1472-8648.2-1852.14.669是是17最大剪力7080.31805.28885.67.51185.228是是17最小剪力-7080.3-1805.2-8885.5-23033.858是是18最大剪力-7206.6-2499-9705.5-287.833.727是是18最小剪力-7206.5-2499-9705.5-2652.93.658是是19最大剪力-7230.5-2247.9-9478.4-628.715.076是是19最小剪力-7238.1-2100.6-9338.7-3107.33.005是是20最大剪力-7182.8-1932.4-9115.2-655.213.913是是20最小剪力-7177-1933.1-9110.1-2825.63.224是是21最大剪力-7333.9-1880.6-9214.5-267.734.419是是21最小剪力-7440.6-2571.2-10011.8-3084.53.246是是22最大剪力-7427.9-2774.1-10202-595.617.13是是22最小剪力-7596.3-3391.3-10987.6-3923.72.8是是23最大剪力-7293.5-1851.4-9144.8-940.59.723是是23最小剪力-8449.2-1094.2-9543.4-4643.72.055是是24最大剪力-7249.9-1900.2-9150.1-1292.87.078是是24最小剪力-8615-1888.8-10503.8-5355.41.961是是25最大剪力-7792-2377.1-10169.1-3160.33.218是是25最小剪力-8973.6-2552.5-11526.1-6074.51.897是是26最大剪力-7609.2-1787.5-9396.7-3371.62.787是是26最小剪力-9194.6-2259.1-11453.7-6822.41.679是是27最大剪力-7737.4-1535.8-9273.2-3377.52.746是是27最小剪力-9237.5-1900.2-11137.6-7317.11.522是是28最大剪力-8152.5-2532.3-10684.8-4315.22.476是是28最小剪力-9432.8-1599.8-11032.6-7750.51.423是是29最大剪力-9752.5-1755.4-11507.9-4829.72.383是是29最小剪力-9752.5-2368.5-12121-8206.31.477是是30最大剪力-10073.7-2251.6-12325.2-5185.92.377是是30最小剪力-10073.7-1572.8-11646.4-8659.61.345是是31最大剪力-11270.1-2219.2-13489.2-5553.22.429是是31最小剪力-11382.2-2173.1-13555.2-9121.61.486是是32最大剪力-13050-2511.1-15561.1-5916.32.63是是32最小剪力-13445.6-2346.7-15792.3-9600.21.645是是33最大剪力-13538.3-3092.9-16631.2-6318.62.632是是33最小剪力-14474.9-1599.7-16074.6-10083.21.594是是34最大剪力-13801.4-2912.1-16713.5-6721.62.487是是34最小剪力-14996.5-3113.8-18110.4-10594.21.709是是35最大剪力-14349.2-1858-16207.2-7127.52.274是是35最小剪力-15142.1-3171-18313.1-11104.91.649是是36最大剪力-14504.3-3162.9-17667.2-7537.52.344是是36最小剪力-14994.8-2342.7-17337.5-11628.61.491是是37最大剪力-14661.7-2749-17410.7-7948.82.19是是37最小剪力-15886.5-2649.9-18536.4-121661.524是是38最大剪力-14536.5-1779.1-16315.6-8366.41.95是是38最小剪力-15268.3-3079.6-18347.9-127421.44是是39最大剪力-14569.4-3203.3-17772.8-87862.023是是39最小剪力-14685-3368.2-18053.2-13275.31.36是是40最大剪力-17542.7-2846.3-20389-9228.52.209是是40最小剪力-17763.5-3303.8-21067.3-13841.11.522是是41最大剪力-41848.4-2049.2-43897.6-97904.484是是41最小剪力-41770.1-2933.8-44704-14556.93.071是是42最大剪力-44195.3-2381.9-46577.2-10486.24.442是是42最小剪力-44195.3-2381.9-46577.2-155013.005是是43最大剪力41770.12933.84470413907.93.214是是43最小剪力41770.12933.8447049233.44.842是是44最大剪力17763.53303.821067.313166.91.6是是44最小剪力17763.53303.821067.386732.429是是45最大剪力146853368.218053.212593.61.434是是45最小剪力146853368.218053.28228.12.194是是46最大剪力15268.33079.618347.9120511.523是是46最小剪力15268.33079.618347.97810.52.349是是47最大剪力14955.33084.118039.5115131.567是是47最小剪力15886.52649.918536.47389.62.508是是48最大剪力148642499.617363.610982.91.581是是48最小剪力16352.42774.419126.86977.22.741是是49最大剪力14916.63051.41796810461.11.718是是49最小剪力16527.93761.820289.76570.33.088是是50最大剪力14640.23741.918382.199471.848是是50最小剪力15669.1304818717.16173.13.032是是51最大剪力14375.73218.517594.29432.51.865是是51最小剪力14627.72176.916804.65779.92.907是是52最大剪力13408.2255015958.18904.41.792是是52最小剪力13449.82752.916202.75402.72.999是是53最大剪力11383.72654.214037.98453.81.661是是53最小剪力11383.73209.514593.25038.52.896是是54最大剪力10073.71830.111903.87988.11.49是是54最小剪力10073.72090.812164.54693.22.592是是55最大剪力9733.32602.712336.17518.11.641是是55最小剪力9733.3252712260.34356.62.814是是56最大剪力9376.3230611682.37064.71.654是是56最小剪力9376.32364.911741.24011.22.927是是57最大剪力9187.81896.811084.56634.71.671是是57最小剪力91822045.311227.33673.63.056是是58最大剪力91031805109086145.51.775是是58最小剪力91032376.1114793288.33.491是是59最大剪力8834.52522.711357.25407.72.1是是59最小剪力8834.52669.511503.92703.84.255是是60最大剪力7448.21944.19392.342792.195是是60最小剪力8491.62023.610498.221334.922是是61最大剪力7469.72843.510313.23168.53.255是是61最小剪力7478601.38079.31327.86.085是是62最大剪力7433.92773.810207.72714.63.76是是62最小剪力7564.34662.6122271202.510.168是是63最大剪力7236.83011.510248.31910.75.364是是63最小剪力7567.5396611533.5991.711.63是是64最大剪力7142.328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