桥梁工程课件 第2篇第3章 简支梁桥的计算--4横隔梁内力计算A

BRIDGEENGRGPARTIIPart2RC&PCbeambridge第二篇钢筋混凝土和预应力混凝土梁式桥Chapter3第三章Analysisofsimplesupportedbeambridge简支梁桥的计算•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN3.5Computingtheinternalforceontransversebeam横隔梁内力计算1.Loaddistributedontransversebeam作用于横隔梁上的荷载沿桥跨方向确定横隔梁上的计算荷载假定荷载在相邻横隔梁之间按杠杆原理法传递。按一列汽车车道荷载轮重分布给中横梁的计算荷载为：Pklay1qklaakkkkqlqyPqyPP11021)(21Ω•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN3.5Computingtheinternalforceontransversebeam横隔梁内力计算ｑrlala人群arrrlpqP0Ωr•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN1.Loaddistributedontransversebeam作用于横隔梁上的荷载3.5Computingtheinternalforceontransversebeam横隔梁内力计算２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力Model计算模型continuousbeamonelasticsupport横隔梁相当于弹性支撑上的连续梁Ri=?PR1R2R3R4R5P•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力当荷载P作用于r截面左边时，截面上的弯矩和剪力：R1R2R3R4R5P=1reb1b2P=1•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力当荷载P作用于r截面左边时，截面上的弯矩和剪力：R1R2R3R4R5P=1reb1b2P=1ebRebRbRMiir左122111121左irRRRQ•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力当荷载P作用于r截面右边时，截面上的弯矩和剪力：R1R2R3R4R5P=1rb1b2P=1右iirbRbRbRM2211右irRRRQ21•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力aar截面弯矩影响线P=1e1r截面剪力影响线P=1e•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力影响线一般横隔梁的弯矩在靠近桥中心线的截面较大，如A、B截面剪力则在靠近桥两侧边缘处的截面较大,如C、D截面P=1⑥①②③④⑤ABCD•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力影响线η11η16R1R2R3η21η26η31η36⑥①②③④⑤③梁处横隔梁截面的弯矩影响线dddM22211131ddM3231233ddM2616236ηM31ηM33ηM36•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力影响线⑥①②③④⑤③梁处横隔梁截面的弯矩影响线dddM22211131ddM2616236ηM31ηM36aa2d•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力影响线⑥①②③④⑤③梁、④梁之间横隔梁截面的弯矩影响线ddddM5.25.05.15.23121111)43(dddM5.05.15.23626166)43(ηM31ηM362.5d•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力影响线⑥①②③④⑤②梁处横隔梁截面的剪力影响线1211121右Q261636右QηQ21ηQ2611•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN２.Computingtheinternalforcebasedonthestiffnesstransversebeam偏压法计算横隔梁内力3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力计算确定作用在中横隔梁上的计算荷载akkkkqlqyPqyPP11021)(21Pklay1qklaΩ•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力计算绘制中横隔梁的内力影响线布置荷载，计算截面内力iqPS01ηQ21ηQ26ηM31ηM36P/2P/2P/2P/2η１η２η１η２•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN3.5Computingtheinternalforceontransversebeam横隔梁内力计算横隔梁的内力计算荷载组合忽略横隔梁恒载内力，只考虑活载组合•SCHOOLOFTRANSPORTATION,WUTPRODUCEDBY：XJCHEN