预应力结构梁计算书jsnew16.8(C40).doc

简支梁上部计算书 预应力混凝土简支梁上部结构计算书 跨 径： L16.8 米 桥 宽： B4.55 米 梁 高： H=1.5米计算：复核： 2012年5月 预应力混凝土梁上部结构计算书 1、设计规范与标准 1.1 交通部部颁公路工程技术标准JTGB012003； 1.2 交通部部颁公路桥涵设计通用规范JTGD602004； 1.3 交通部部颁公路钢筋混凝土及预应力混凝土桥涵设计规范JTGD622004； 1.4 交通部部颁公路桥涵地基与基础设计规范JTG D632007； 1.5 BS5400人群荷载5.0KN/m22、上部结构计算理论和主要方法2.1 根据主梁实际横断面及桥梁布置，将桥梁按照空间实用理论简化为平面杆系，主梁简化后结构离散图见图1。2.2 主梁计算按不同施工阶段采用不同计算图式。 L16.8米（梁高1.5米，现浇层0.2米，组合梁高1.7米）。施工阶段1：预制主梁，张拉钢束；施工阶段2：吊装主梁；施工阶段3：现浇桥面板，形成体系转化(组合梁)；施工阶段4：浇筑护栏。2.3 桥梁横向分布按满布人群设计。2.4 内力计算按中板计算。2.5 主梁按部分预应力A类构件结构设计。 3、主梁计算基本资料与参数选取 3.1 技术指标 桥梁宽度：0.275米（护栏）4（人行道）+0.275米（护栏）4.55米图1. 结构计算图式 3.2 结构用材 a) 预应力钢筋 预应力材料270级低松弛预应力钢绞线，标准强度Rby1860MPa，弹性模量Ey1.95x105MPa。预应力束均采用s15.2。 b) 非预应力钢筋：钢筋直径小于12mm者采用R235，反之采用HRB335。 c) 混凝土 主梁采用fc=40MPa。 3.3 施工方法 主梁施工采用批量预制，吊装就位后，现浇横向连接和现浇桥面层混凝土。 3.4 有关计算参数的选取 锚下控制应力 1395MPa 预应力钢筋松弛率 0.3管道摩阻系数 0.25 管道偏差系数 0.0015 1/m 钢束松弛引起的应力损失终值按一次张拉考虑，张拉系数为1.0 结构重要性系数 01.0 主要参数计算 桥面铺装：桥面铺装采用20cm-23cm厚混凝土铺装。混凝土铺装、护栏：中梁q11.575x0.215x25+0.165x2512.59KN/m端部悬臂桥面板集中反力1.575x1.75x0.215x26=15.4KN；产生的弯矩15.4x1.75x0.5=13.5KN.m。3.5 荷载横向分布系数计算 荷载横向分布系数计算采用刚接梁法。对于中梁偏安全取人群横向分布系数为1.0.3.6 预应力布置 钢束布置见有关设计图纸 4、主梁持久状况承载能力极限状态计算4.1承载能力验算主梁持久状况承载能力极限状态采用以下公式计算 r0SR （R= R(fd,ad)）r0S=r0（rG1SG1d +c rQjSQ2k）SG1d -为永久作用效应中的恒载设计值SQ2k-为可变作用效应中的人群荷载作用设计值4.2主梁内力计算采用GQJS系列程序，上部反力计算主要成果见表3、4。 表1 支反力汇总表 单位：KN反力类型主梁备注恒载合计238.3人群最大66.0组合最大值反力304.3支座选用（承载力/型号）551/1200x300x5.2人群横向分配系数为1.0.4.3 主梁承载能力验算（作用或荷载设计值）r0S=r0（rG1SG1d +c rQjSQ2k） 承载能力极限状态计算 表2 单位：KNm单元节点 Mmax Mmin最大抗弯强度最小抗弯强度11000012001710.202213.501710.73023210.65150.261812.34033210.65150.261812.34034413.31301.021912.89044413.31301.021912.89045586.41430.212014.49055586.41430.212014.49056729.97537.842115.57066729.97537.842116.63067843.88623.822214077843.88623.822214.53078928.36688.342288.62088928.36688.342288.62089983.3731.292324.07099983.3731.292324.0709101008.68752.672330.43010101008.68752.672330.4301011985.91733.92324.0701111985.91733.92324.0701112933.54693.512288.0901212933.54693.512288.0901213851.64631.59221401313851.64631.59221401314740.2548.092115.5701414740.2548.092115.5701415599.2443.042014.4901515599.2443.042013.9601516428.65316.411912.8901616428.65316.411912.8901617228.55168.221811.2801717228.55168.221811.28017182.091.681710.201818001710.2018190000以上各个截面均满足规范要求。5、主梁持久状况正常使用极限状态计算51主梁抗裂验算 a.短期效应组合下验算短期效应组合采用下式：Ssd=SG1k+ SQ2kSG1k -为永久作用效应中的恒载标准值SQ2k-为可变作用效应中的人群荷载作用设计值1）正截面混凝土的拉应力st-pc0.7ftk=-1.68MPa（拉应力） 截面抗裂应力（拉应力）计算 表3 单位：MPa单元节点上缘最大应力上缘最小应力下缘最大应力下缘最小应力11000.03280.0328120-0.00265.50045.4977210-0.00265.81545.8127220.3768-0.00265.29324.8914310.3769-0.00265.56165.1598320.7017-0.00265.00324.2592410.7012-0.00265.20564.4621420.9747-0.00264.83253.8025510.9739-0.00264.96843.9392521.1955-0.00264.77823.5184611.1955-0.00264.8493.5892621.365-0.00264.83813.4031711.365-0.00264.86843.4334721.4848-0.00264.91883.3606811.485-0.00264.95023.3921821.5575-0.00264.90743.2745911.5575-0.00264.95173.3188921.5824-0.00264.85873.20011011.5824-0.00264.86283.20421021.5576-0.00264.93353.30061111.5576-0.00264.89743.26451121.485-0.00254.91783.35971211.4848-0.00254.89473.33651221.365-0.00264.82173.38671311.365-0.00264.79953.36451321.1953-0.00264.78843.52881411.1953-0.00264.72563.4661420.9744-0.00264.89383.86411510.9744-0.00264.7663.73631520.7009-0.00265.11694.37381610.7014-0.00264.92264.17891620.3765-0.00265.45865.05731710.3765-0.00265.19854.79711720-0.00255.70565.70291810-0.00255.49875.496182000.0330.033以上各个截面均满足规范要求。2）斜截面混凝土的主拉应力tp0.7ftk=-1.68MPa（拉应力）表4 截面抗裂应力（主拉应力）计算 单位：MPa单元节点位置 到下缘距离 cx_max cx_min _max _min tp_min cp_max1111.71550000001121.50-0.0772-0.0772-0.0772-0.0772-0.07721130.73560-0.0211-0.0211-0.0211-0.0211-0.0721140.49180-0.0033-0.0033-0.0033-0.0033-0.05841150.24800.01460.01460.01460.0146-0.0385116000.03280.03280.03280.032801211.715500-0.002600-0.00261221.502.68522.68332.68522.683301230.735604.1194.11854.11854.119-0.05021240.491804.57684.57564.57564.5768-0.03961250.24805.03475.03275.03275.0347-0.023126005.50045.49775.49775.497702111.715500-0.002600-0.00262121.501.70141.69951.69951.7014-0.02582130.735603.7973.79653.7973.7965-0.23852140.491804.4664.46484.4664.4648-0.16842150.24805.1355.1335.1355.133-0.0913216005.81545.81275.81275.812702211.715500.3768-0.002600-0.00262221.502.52522.24392.5062.2631-0.01362230.735603.79783.7313.73553.7932-0.16672240.491804.29344.11564.12774.2813-0.12352250.24804.7894.50014.51984.7693-0.0699226005.29324.89145.29045.290403111.715500.3769-0.002600-0.00263121.501.89831.6171.87911.6362-0.01813130.735603.62713.56033.56493.6225-0.17443140.491804.26824.09044.10264.2561-0.12453150.24804.90944.62064.64034.8897-0.0683316005.56165.15985.55885.558803211.715500.7017-0.002600-0.00263221.502.72352.20122.6572.2677-0.00973230.735603.62923.50613.52183.6135-0.11133240.491804.08453.75573.79754.0426-0.08343250.24804.544.00534.07344.4719-0.0478326005.00324.25925.00055.000504111.715500.7012-0.002600-0.00264121.502.24061.71872.17421.7851-0.01184130.735603.49573.37273.38843.48-0.11574140.491804.06243.73383.77574.0206-0.08414150.24804.62924.09494.16294.5611-0.047416005.20564.46215.20295.202904211.715500.9747-0.002600-0.00264221.502.83482.10972.6982.2465-0.00714230.735603.49723.32793.35993.4653-0.06414240.491803.93983.48523.5713.854-0.04784250.24804.38243.64253.78214.2428-0.0275426004.83253.80254.82984.829805111.715500.9739-0.002600-0.00265121.502.49541.77092.35871.9076-0.00815130.735603.40033.23123.26313.3684-0.06625140.491803.92013.46593.55163.8344-0.04825150.24804.43983.70053.844.3003-0.0272516004.96843.93924.96574.965705211.715501.1955-0.002600-0.00265221.502.85841.96912.6352.1925-0.00525230.735603.40063.19483.24653.3489-0.02835240.491803.85723.3023.44153.7177-0.02035250.24804.31373.40923.63644.0866-0.0114526004.77823.51844.77554.775506111.715501.1955-0.002600-0.00266121.502.65761.76832.43421.9917-0.00576130.735603.33823.13243.18413.2865-0.0296140.491803.8393.28383.42333.6995-0.02066150.24804.33963.43513.66234.1125-0.0114616004.8493.58924.84634.846306211.715501.365-0.002600-0.00266221.502.80751.7922.48942.1101-0.00396230.735603.34423.11093.1843.2712-0.01086240.491803.83943.20783.40563.6416-0.00726250.24804.33443.30463.62714.0118-0.0039626004.83813.40314.83544.835407111.715501.365-0.002600-0.00267121.502.69251.6772.37441.9951-0.00417130.735603.30333.073.14313.2303-0.01247140.491803.8223.19043.38823.6242-0.00837150.24804.34073.31093.63344.0181-0.0045716004.86843.43344.86574.865707211.715501.4848-0.002600-0.00267221.502.78751.68272.37272.0975-0.00287230.735603.33183.07963.17433.2371-0.01297240.491803.85783.17273.42993.6006-0.0097250.24804.38373.26583.68553.964-0.005726004.91883.36064.91614.916108111.715501.485-0.002600-0.00268121.502.6781.5732.26311.9878-0.00298130.735603.2943.04193.13663.1994-0.01628140.491803.84293.1583.41513.5857-0.01158150.24804.39183.27413.69373.9722-0.0064816004.95023.39214.94754.947508211.715501.5575-0.002600-0.00268221.502.83481.67582.32752.1831-0.00198230.735603.32263.05893.17433.2072-0.01448240.491803.84793.13043.44443.5338-0.01058250.24804.3733.20183.71443.8604-0.0059826004.90743.27454.90474.904709111.715501.5575-0.002600-0.00269121.502.71381.55482.20652.0621-0.0029130.735603.28583.02213.13753.1704-0.01719140.491803.83793.12043.43443.5238-0.01259150.24804.393.21883.73143.8774-0.007916004.95173.31884.9494.94909211.715501.5824-0.002600-0.00269221.502.8711.69352.28232.2822-0.00129230.735603.30653.03883.17273.1727-0.0099240.491803.8213.09233.45663.4566-0.00659250.24804.33543.14583.74063.7406-0.0037926004.85873.20014.8564.856010111.715501.5824-0.002600-0.002610121.502.86141.68392.27272.2726-0.001210130.735603.30383.03613.173.17-0.007610140.491803.82053.09183.45613.4561-0.005410150.24804.33723.14763.74243.7424-0.0031016004.86283.20424.86014.8601010211.715501.5576-0.002600-0.002610221.502.72771.56872.07612.2204-0.001910230.735603.28333.01963.16793.135-0.015110240.491803.83033.11283.51623.4268-0.010910250.24804.37723.20593.86453.7186-0.00611026004.93353.30064.93084.9308011111.715501.5576-0.002600-0.002611121.502.82941.67042.17782.3221-0.001911130.735603.31483.05113.19943.1665-0.012611140.491803.83943.12193.52533.4359-0.00911150.24804.36383.19253.85113.7052-0.00511116004.89743.26454.89474.8947011211.715501.485-0.002500-0.002511221.502.69631.59132.00612.2814-0.002911230.735603.28643.03433.19183.129-0.014211240.491803.82723.14233.573.3994-0.009911250.24804.36783.25013.94823.6697-0.00551126004.91783.35974.91514.9151012111.715501.4848-0.002500-0.002512121.502.78631.68152.09632.3715-0.002812130.735603.31893.06673.22423.1614-0.011112140.491803.84123.15613.5843.4133-0.007712150.24804.36343.24553.94373.6652-0.00421216004.89473.33654.8924.892012211.715501.365-0.002600-0.002612221.502.71531.69982.01792.3972-0.00412230.735603.29073.05743.21773.1305-0.010712240.491803.79813.16653.60033.3643-0.007112250.24804.30553.27573.9833.5982-0.00381226004.82173.38674.8194.819013111.715501.365-0.002600-0.002613121.502.8111.79552.11362.4929-0.003913130.735603.32633.0933.25333.1661-0.009213140.491803.81463.1833.61683.3808-0.006113150.24804.30283.2733.98033.5955-0.00321316004.79953.36454.79684.7968013211.715501.1953-0.002600-0.002613221.502.68441.79522.01792.4617-0.005613230.735603.32053.11473.2693.1662-0.026613240.491803.8073.25193.66793.3909-0.018813250.24804.29353.38924.0673.6157-0.01041326004.78843.52884.78574.7857014111.715501.1953-0.002600-0.002614121.502.86611.97692.19962.6434-0.005214130.735603.37763.17183.32613.2233-0.025914140.491803.82443.26933.68533.4083-0.018514150.24804.27123.36694.04473.5934-0.01041416004.72563.4664.72294.7229014211.715500.9744-0.002600-0.002614221.502.52681.80191.93862.3901-0.00814230.735603.37753.20833.34563.2402-0.062814240.491803.883.42553.79433.5112-0.045814250.24804.38253.64294.24313.7824-0.02581426004.89383.86414.89114.8911015111.715500.9744-0.002600-0.002615121.502.84652.12162.25832.7098-0.007115130.735603.46913.29993.43723.3318-0.060815140.491803.8993.44453.81333.5302-0.045315150.24804.32873.58914.18933.7286-0.02611516004.7663.73634.76334.7633015211.715500.7009-0.002600-0.002615221.502.27541.75371.82012.209-0.011715230.735603.46753.34473.45193.3603-0.111715240.491804.01423.68583.97243.7275-0.081415250.24804.56084.02684.49294.0948-0.04551526005.11694.37385.11425.1142016111.715500.7014-0.002600-0.002616121.502.73932.21722.28362.6729-0.009716130.735603.59583.47293.58023.4885-0.107616140.491804.03563.70693.99383.7487-0.080716150.24804.47523.94084.40734.0088-0.04631616004.92264.17894.91994.9199016211.715500.3765-0.002600-0.002616221.501.93711.6561.67511.9179-0.017716230.735603.59393.52723.58933.5317-0.170116240.491804.21194.03434.19984.0464-0.121816250.24804.834.54144.81034.5611-0.06691626005.45865.05735.45595.4559017111.715500.3765-0.002600-0.002617121.502.54462.26362.28272.5255-0.013517130.735603.75933.69253.75473.6971-0.162717140.491804.23624.05864.22414.0706-0.120717150.24804.71334.42474.69364.4443-0.06841716005.19854.79715.19585.1958017211.715500-0.002500-0.002517221.501.73681.73491.73681.7349-0.025317230.735603.75833.75793.75793.7583-0.234217240.491804.40374.40254.40254.4037-0.165717250.24805.04915.04725.04725.0491-0.08991726005.70565.70295.70295.7029018111.715500-0.002500-0.002518121.502.68672.68482.68482.6867018130.735604.11874.11834.11874.1183-0.050218140.491804.57614.57494.57614.5749-0.039618150.24805.03345.03155.03345.0315-0.0231816005.49875.4965.4965.496018211.715500000018221.50-0.0778-0.0778-0.0778-0.0778-0.077818230.73560-0.0213-0.0213-0.0213-0.0213-0.072118240.49180-0.0033-0.0033-0.0