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板传梁梁传柱荷载计算

板传梁梁传柱荷载计算河南科技大学毕业设计?6.1.1.板传荷载计算计算单元见下图所示:因为楼板为整体现浇,本板选用双向板,可沿四角点沿45?线将区格分为小块,每个板上的荷载传给与之相邻的梁,板传至梁上的三角形或梯形荷载可等效为均布荷载。

图6-1 框架结构计算单元42河南科技大学毕业设计图6-2 框架结构计算单元等效荷载一.B,C, (D,E)轴间框架梁:屋面板传荷载:222恒载: 6.09KN/m1.5m[1-2(1.5/6)(1.5/6)]2=17.128K,,,,N/m222活载: 2.0KN/m1.5m[1-2(1.5/6)(1.5/6)]2=5.625KN/,,,,,m楼面板传荷载:222恒载: 3.83KN/m1.5m[1-2(1.5/6)(1.5/6)]2=10.772K,,,,,N/m222活载: 2.0KN/m1.5m[1-2(1.5/6)(1.5/6)]2=5.625KN/,,,,,m梁自重:3.95KN/mB,C, (D,E)轴间框架梁均布荷载为:屋面梁:恒载,梁自重,板传荷载,17.128 KN/m+3.95 KN/m=21.103 KN/m活载,板传荷载,5.625 KN/m 楼面板传荷载:恒载,梁自重,板传荷载,3.95 KN/m+10.772 KN/m=14.747 KN/m活载,板传荷载,5.625 KN/m 二. C,D轴间框架梁:屋面板传荷载:26.09KN/m1.2m5/82=9.135KN/m,,,恒载:22.0KN/m1.5m5/82=3KN/m,,,活载:楼面板传荷载:23.83KN/m1.25/82=5.745KN/m,,,恒载:43河南科技大学毕业设计22.0KN/m1.2m5/82=3.75KN/m,,,活载:梁自重:3.95KN/mC,D轴间框架梁均布荷载为:屋面梁:恒载,梁自重,板传荷载,2.349 KN/m+9.135 KN/m=11.484 KN/m活载,板传荷载,3 KN/m 楼面板传荷载:恒载,梁自重,板传荷载,2.349 KN/m+5.745KN/m=8.09KN/m活载,板传荷载,3.75 KN/m 三.B轴柱纵向集中荷载计算:顶层柱:女儿墙自重:(做法:墙高900?,100?的混凝土压顶)330.240.918/25/0.10.24mmknmKNmmm,,,,,,1.220.240.55.806/mmmKNm,,,, ,,顶层柱恒载,女儿墙,梁自重,板传荷载,5.806/63.975/(60.6)KNmKNmmm,,,,,22,,121.5/61.5/66/426.09/1.55/832123.247,,,,,,,,,,,KNmmKN,,,,,,顶层柱活载,板传荷载22,,, 2.0/1.5121.5/61.5/66/42KNmm,,,,,,,,,,,,,,2.0/1.55/83219.688KNmmKN,,,,, 标准层柱恒载,墙自重,梁自重,板荷载= 7.794/(60.6)3.975/(60.6)3.83/1.55/832KNmKNmKNmm,,,,,,,,,,,,,,,,,,,,(2.332311.52)61/422.3325/61/42KNm22,,3.831.5121.5/61.5/66/42124.172mmKN,,,,,,,, ,,,,,,标准层柱活载,板传荷载22,,,2.01.5121.5/61.5/632.01.55/83219.688mmmmKN,,,,,,,,,,,,,,,,,,44河南科技大学毕业设计基础顶面荷载,底层外纵墙自重,基础自重9.738/(60.6)2.5/(60.6)16.085KNmmmKNmmmKN,,,,,,, 四.C柱纵向集中力计算:顶层柱荷载,梁自重,板传梁荷载,3.975/(90.9)2.349/(1.20.3)6.09/1.55/832KNmmKNmmKNmm,,,,,,,,,,,,,,,,,,,,6.09/1.25/81.22(2.3323/11.52/)61/42KNmmKNmKNmm,154.318KN顶层柱活载=板传荷载,22,,2.01.5121.5/61.5/63mm,,,,,,,,,,,,,22,,2.01.2121.2/61.2/632.01.2mmmm,,,,,,,,,,,,,,,,,,,,,,,5/81.222.01.55/83239.272mmKN标准柱恒载=墙,梁自重,板传荷载11.52/(30.6)15.12/(30.6)15.12/(30.6)KNmmKNmmKNmm,,,,,,,,,,2.349/(1.20.3)3.975/(60.6)6.09/1.55/832KNmmKNmmKNmm,,,,,,,,,,,26.09/61/21/22.67/2.4/263.83/36200.173KNmmKNmmKNmmmKN,,,,,,,,,,标准层活载,板传荷载222.0/362.5/1.2654KNmmmKNmmmKN,,,,,,, 基础顶面恒载=底层外纵墙自重,基础自重 9.738/(60.6)2.5/(60.6)66.085KNmmmKNmmmKN,,,,,, (3).框架柱自重:3KNm/×4.55m=49.14KN 柱自重: 底层:1.2×0.6m×0.6m×253KNm/ 其余柱:1.2×0.6m×0.6m×25×3.6m=38.88KN?6.2恒荷载作用下框架的内力?6.2.1.恒荷载作用下框架的弯矩计算一.恒荷载作用下框架可按下面公式求得:2(61),Mql,,1/12 ab45河南科技大学毕业设计2(62), Mql,1/12ba2故: MKNm,,,,,,1/1221.03663.09.BC77MKNm,63.09.CB772 MKNm,,,,,,1/1211.48465.512.CD77MKNm,5.512.CD772 MKNm,,,,,,1/1214.747644.241.BC66MKNm,44.241.CB662 MKNm,,,,,,1/128.0963.883.CD66MKNm,3.883.DC66恒荷载作用下框架的受荷简图如图6-3所示:图6-3竖向受荷总图:46河南科技大学毕业设计注:1.图中各值的单位为KN2.图中数值均为标准值3.图中括号数值为活荷载图6-4:恒载作用下的受荷简图 (2).根据梁,柱相对线刚度,算出各节点的弯矩分配系数: ,ij(63), ,,,,,iii/()ijcb分配系数如图6,5 , 图6,6所示:图6-5 B柱弯矩各层分配系数简图 B柱:底层:i,0.801/(0.8010.6091.0)0.332,,, 下柱i,1.0/(0.8010.6091.0)0.415,,, 上柱i,0.609/(0.8010.6091.0)0.253,,,左梁标准层:i,1.0/(0.6091.01.0)0.383,,, 上柱i,1.0/(0.6091.01.0)0.383,,, 下柱i,0.609/(0.6091.01.0)0.234,,,左梁i,1.0/(0.6091.0)0.622,,顶层: 下柱i,0.609/(0.6091.0)0.622,,左梁47河南科技大学毕业设计图6,6 C柱弯矩各层分配系数简图C柱: i,0.609/(0.6091.00.2110.801)0.232,,,,右梁i,1.0/(0.6091.00.2110.801)0.382,,,,上柱i,0.801/(0.6091.00.2110.801)0.306,,,,下柱i,0.211/(0.6091.00.2110.801)0.081,,,,左梁标准层:i,1.0/(0.6091.00.2110.801)0.355,,,, 下柱i,1.0/(0.6091.00.2110.801)0.355,,,,上柱i,0.609/(0.6091.00.2110.801)0.216,,,,右梁i,0.211/(0.6091.00.2110.801)0.074,,,,左梁顶层: i,1.0/(0.6091.00.211)0.549,,, 下柱i,0.211/(0.6091.00.211)0.116,,,左梁i,0.609/(0.6091.00.211)0.335,,,右梁三.恒荷载作用下的弯矩剪力计算,根据简图(6,4)2梁: MMqlQl,,,,1/2.0 ,,M0ABBA QMMlql,,,/1/2BAB2 MMqlQl,,,,1/2.0,,M0ABAB(6,4) QMMlql,,,/1/2AAB柱: ,,,,MMQh.0,,M0CCDDQMMh,,,()/DCD,,,,MMQh.0,,M0DCDCQMMh,,,()/ (6,5) CCD四.恒荷载作用下的边跨框架的轴力计算,包括连梁传来的荷载及柱自重.NKN,,,,123.24721.1036/2186.556 7 NNKN,,,,,,124.17214.7476/238.88393.8496748河南科技大学毕业设计NNKN,,,,,,124.17214.7476/238.88601.14256 NNKN,,,,,,124.17214.7476/238.88808.43545 NNKN,,,,,,124.17214.7476/238.881015.72834 NNKN,,,,,,124.17214.7476/238.881223.02123 NNKN,,,,,,124.17214.7476/238.881382.48712恒荷载作用下的中跨框架的轴力计算:NKN,,,,154.31811.4842.4/2168.0997 NNKN,,,,,,200.1738.092.4/238.88416.8867 NNKN,,,,,,200.1738.092.4/238.88665.62156 NNKN,,,,,,200.1738.092.4/238.88808.43545 NNKN,,,,,,200.1738.092.4/238.881015.72834 NNKN,,,,,,200.1738.092.4/238.881223.02123NNKN,,,,,,200.1738.092.4/238.881382.48712图6,5 恒荷载作用下的计算简图五.弯矩分配及传递弯矩二次分配法比分层法作了更进一步的简化。

在分层法中,用弯矩分配法计算分层单元的杆端弯矩时,任一节点的不平衡弯矩都将影响到节点所在单元中的所有杆件。

而弯矩二次分配法假定任一节点的不平衡弯矩只影响至与该节点相交的各杆件的远端。

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