地震倾覆弯矩新

1、地震倾覆力矩测试抗震设计时，地震造成的对房屋的倾覆力矩是由框架和剪力墙两部分共同承担的。若由框架承担的部分大于总倾覆力矩的一定比例时，说明框架部分已居于较主要地位，应加强其抗震能力的储备。另外，对于近年兴起的短肢剪力墙结构，新规程要求设置剪力墙筒体（或一般剪力墙），形成短肢剪力墙与筒体（或一般剪力墙）共同抵抗水平力的结构。同时对短肢剪力墙结构中抗震设计时筒体和一般剪力墙承受的地震倾覆力矩作了相应的规定。为便于操作，本次规范修订给出了框架部分承受的地震倾覆力矩的具体计算公式。1. 规范、规程相关规定和测试内容11规范、规程相关规定1 抗震规范和高规条文，用于判定框剪结构的框架部分抗震等级的提高。

2、具体内容为“框架抗震墙结构，在基本振型地震作用下，若框架部分承受的地震倾覆力矩大于结构总倾覆力矩的50%，其框架部分的抗震等级应按框架结构确定，（柱轴压比限值宜按框架结构的规定采用）；最大适用高度可比框架结构适当增加”； 框架部分承受的地震倾覆力矩可按下式计算：式中 Mc框剪结构在基本振型地震作用下框架部分承受的地震倾覆力矩 n 结构层数 m 框架i层的柱根数 Vij 第i层j根框架柱的计算地震剪力 hi 第i层层高2 高规7.1.2-2，用于限定短肢剪力墙结构中短肢剪力墙的数量。具体内容为“抗震设计时，筒体和一般剪力墙承受的第一振型底部地震倾覆力矩不宜小于结构总底部地震倾覆力矩的50%”；2

3、. 测试例题2.1例1-框架-剪力墙SOF15层框剪，层高均为3.3M，总高度16.5M。无地下室。 地震信息 . 振型组合方法: CQC 计算振型数: NMODE= 15 地震烈度: NAF = 8.50 场地土类别: KD = 2 设计地震分区: 二组 * * 各层构件数量、构件材料和层高 * * 层号 塔号 梁数 柱数 墙数 层高 累计高度 (混凝土) (混凝土) (混凝土) (m) (m) 1 1 36(30) 5(30) 8(30) 3.300 3.300 2 1 36(30) 9(30) 8(30) 3.300 6.600 3 1 32(30) 5(30) 8(30) 3.300

4、9.900 4 1 32(30) 5(30) 8(30) 3.300 13.200 5 1 32(30) 5(30) 8(30) 3.300 16.500总结构有二个标准层，平面布置图见下：第一标准层，结构第1、3、4、5层属于此标准层。第二标准层，结构第2层属于此标准层。2.1.1 SATWE计算取15个振型，刚性楼板假定。2.1.1.1 WZQ.OUT层柱、墙剪力X向FloorFxVxMx手算51178.811178.813890.063890.074922.242071.2910697.8710725.33?3718.302720.5919599.0119703.282575.63317

5、3.9429934.5030177.281301.343316.0740753.5741120.31?SATWE-C+W41228.70.26%Y向FloorFyVyMy手算51014.421014.423347.603347.594746.321690.588865.428926.5?3640.722113.2415614.8515900.192618.152408.6923117.1623848.871475.312683.8631416.1232705.61?SATWE-C+WC19171.8W17019.436191.21.17% 2.1.1.2 WV02Q.OUT * 框架柱地震倾覆

6、弯矩百分比 * 柱倾覆弯矩 墙倾覆弯矩 柱倾覆弯矩百分比 X向地震: 4408.3 36820.4 10.69% Y向地震: 19171.8 17019.4 52.97% * 框架柱地震剪力百分比 * 层号 塔号 柱剪力 墙剪力 柱剪力百分比 1 1 X 119.8 3196.7 3.61% Y 1957.2 726.6 72.92% 2 1 X 579.7 2595.2 18.26% Y 71.7 2412.9 2.88% 3 1 X 178.1 2542.9 6.55% Y 1423.8 689.6 67.37% 4 1 X 208.6 1863.3 10.07% Y 1017.0 673

7、.6 60.16% 5 1 X 241.4 941.5 20.41% Y 650.5 364.1 64.11%2.1.1.3 WNL*.OUT5层柱内力输出：XShear-XShear-YAxial1-43.30.060.82-79.00.00.033.40.00.04-79.00.00.05-43.30.0-60.8-241.200SATWE-WV20Q241.4OKYShear-XShear-YAxial10.0-131.10.020.0-95.550.430.0-197.90.040.0-95.5-50.450.0-131.10.00-651.10SATWE-WV20Q650.5OK墙-

8、柱内力输出：X(iCase)Shear-XShear-YAxialVXVY11)8.2-62.766.3-62.7-8.221)-8.2-62.7-66.3-62.78.231)0.0-345.80.0-345.80.041)0.0-345.80.0-345.80.051)-8.2-62.766.3-62.78.261)8.2-62.7-66.3-62.7-8.2-942.40SATWE-WV20Q941.5OKY(iCase)Shear-XShear-YAxialVXVY12)41.4-10.339.3-10.3-41.422)41.410.339.310.3-41.432)99.30.01

9、3.00.0-99.342)99.30.0-13.00.0-99.352)41.410.3-39.310.3-41.462)41.4-10.3-39.3-10.3-41.40-364.2SATWE-WV20Q364.1OK4层柱内力输出：X(Shear-XShear-YAxial11)-35.10.0131.921)-67.20.00.031)-4.20.00.041)-67.20.00.051)-35.10.0-131.9-208.800SATWE-WV20Q208.6OKY(Shear-XShear-YAxial12)0.0-194.70.022)0.0-171.4156.632)0.0-

10、285.10.042)0.0-171.4-156.652)0.0-194.70.0-1017.3SATWE-WV20Q1017.0OK墙-柱内力输出：XiCase)Shear-XShear-YAxialVXVY11)8.4-139.6157.6-139.6-8.421)-8.4-139.6-157.6-139.68.431)0.0-653.20.0-653.20.041)0.0-653.20.0-653.20.051)-8.4-139.6157.6-139.68.461)8.4-139.6-157.6-139.6-8.4-1864.8SATWE-WV20Q1863.3OKYiCase)Shea

11、r-XShear-YAxialVXVY12)78.3-7.2119.7-7.2-78.322)78.37.2119.77.2-78.332)180.30.014.60.0-180.342)180.30.0-14.60.0-180.352)78.37.2-119.77.2-78.362)78.3-7.2-119.7-7.2-78.3-673.6SATWE-WV20Q673.6OK3层柱内力输出：X(Shear-XShear-YAxial11)-23.60.0205.621)-65.60.00.031)1.00.00.041)-65.60.00.051)-23.60.0-205.6-177.400

12、SATWE-WV20Q178.1OKY(Shear-XShear-YAxial12)0.0-321.50.022)0.0-228.8291.132)0.0-323.50.042)0.0-228.8-291.152)0.0-321.50.0-1424.10SATWE-WV20Q1423.8OK 墙-柱内力输出：XiCase)Shear-XShear-YAxialVXVY11)6.5-78.2246.1-78.2-6.521)-6.5-78.2-246.1-78.26.531)0.0-1122.10.0-1122.10.041)0.0-1122.10.0-1122.10.051)-6.5-78.2

13、246.1-78.26.561)6.5-78.2-246.1-78.2-6.5-2557.0SATWE-WV20Q2542.9OKYiCase)Shear-XShear-YAxialVXVY12)78.731.6214.031.6-78.722)78.7-31.6214.0-31.6-78.732)187.40.0-29.30.0-187.442)187.40.029.30.0-187.452)78.7-31.6-214.0-31.6-78.762)78.731.6-214.031.6-78.7-689.6SATWE-WV20Q689.6OK2层柱内力输出：X(Shear-XShear-YAx

14、ial11)-48.60.0278.121)-62.8-16.0562.031)-62.816.0562.041)-96.50.00.051)-38.40.00.061)-96.50.00.071)-62.816.0-562.081)-62.8-16.0-562.091)-48.60.0-278.1-579.800SATWE-WV20Q579.7OKY(Shear-XShear-YAxial12)0.0-24.50.022)-30.9-82.6-52.832)30.9-82.652.842)0.0145.9363.652)0.088.60.062)0.0145.9-363.672)30.9-8

15、2.6-52.882)-30.9-82.652.892)0.0-24.50.001.00SATWE-WV20Q71.7校核结论：第2层Y向地震作用的柱剪力和，用WNL2中柱剪力相加与WV20Q显示的不同。请教黄吉峰，说明柱或墙的CQC剪力算法。此算法是每个杆件在每个振型下的剪力取和，然后再CQC成层柱或墙的CQC剪力，这与我手算方法不同，故有差别。 墙-柱内力输出： X (Shear-XShear-YAxialVXVY11)-11.124.397.9-11.124.321)-11.1-24.397.9-11.1-24.331)-11.1-24.3-97.9-11.1-24.341)-11.12

16、4.3-97.9-11.124.351)5.7-637.7241.2-637.7-5.761)-5.7-637.7-241.2-637.75.771)-5.7-637.7241.2-637.75.781)5.7-637.7-241.2-637.7-5.70-2595.20SATWE-WV20Q2595.2OKY(Shear-XShear-YAxialVXVY12)-9.0-639.436.9-9.0-639.422)9.0-639.4-36.99.0-639.432)9.0-639.436.99.0-639.442)-9.0-639.4-36.9-9.0-639.452)-36.479.941

17、8.279.936.462)-36.4-79.9418.2-79.936.472)-36.4-79.9-418.2-79.936.482)-36.479.9-418.279.936.400-2412.0SATWE-WV20Q2412.9OK1层柱内力输出：X(Shear-XShear-YAxial11)-17.00.0349.621)-36.90.00.031)-12.10.00.041)-36.90.00.051)-17.00.0-349.6-119.900SATWE-WV20Q119.8OKY(Shear-XShear-YAxial12)0.0-432.30.022)0.0-354.541

18、7.832)0.0-383.80.042)0.0-354.5-417.852)0.0-432.30.0-1957.4SATWE-WV20Q1957.2OK 墙-柱内力输出： XiCase)Shear-XShear-YAxialVXVY11)3.7-219.8411.1-219.8-3.721)-3.7-219.8-411.1-219.83.731)0.0-1159.30.0-1159.30.041)0.0-1159.30.0-1159.30.051)-3.7-219.8411.1-219.83.761)3.7-219.8-411.1-219.8-3.7-3197.8SATWE-WV20Q319

19、6.7OK YiCase)Shear-XShear-YAxialVXVY12)101.646.7672.146.7-101.622)101.6-46.7672.1-46.7-101.632)160.20.0-205.60.0-160.242)160.20.0205.60.0-160.252)101.6-46.7-672.1-46.7-101.662)101.646.7-672.146.7-101.6-726.8SATWE-WV20Q726.6OK校核结论：SATWE-WV20Q中层柱、墙剪力与通过WNL*.OUT手算的结果相同。2.1.1.4 柱、墙倾覆弯矩每层高度3.3mX层号WV20QWZ

20、Q总倾覆弯矩柱倾覆弯矩百分比柱剪力手算柱倾覆弯矩墙剪力手算墙倾覆弯矩柱+墙倾覆弯矩5241.4796.62941.53106.953890.064208.61485.001863.39255.8410697.873178.12072.732542.917647.4119599.012579.73985.742595.22621.5729934.501119.84381.083196.736760.6841142.4840753.5710.65%SATWE-WV20Q4408.336820.410.69%OKY层号WV20QWZQ总倾覆弯矩柱剪力百分比柱剪力手算柱倾覆弯矩墙剪力手算墙倾覆弯矩柱+

21、墙倾覆弯矩5650.52146.65364.11201.533347.6041017.05502.75673.63424.418865.4231423.810201.29689.65700.0915614.85271.710437.92412.913662.6623117.1611957.216896.66726.616060.4432957.1031416.1251.27SATWE-WV20Q19171.817019.452.97%校核结论：WATWE和手算的柱倾覆弯矩及其占总倾覆弯矩的比例基本一致，结果正确。X向地震作用下柱倾覆弯矩和墙倾覆弯矩计算正确。Y向地震作用下柱倾覆弯矩和墙倾覆弯矩

22、与手算有点差别。这是由于说明柱或墙的CQC倾覆弯矩算法不同造成。SATWE算法是每个杆件在每个振型下的剪力取矩合成层柱或墙倾覆弯矩，然后再CQC成层柱或墙的CQC倾覆弯矩，这与手算方法不同，故有差别。2.1.2 TAT计算因为此结构为剪力墙布置竖向突变，TAT无法计算。故未给出结果。2.1.3 PMSAP计算2.1.3.1 1111_TB.ABS第 1 地震方向各楼层的总剪力、总弯矩X层号本方向剪力本方向弯矩手算倾覆力矩51180.03775.93894.042071.210493.810728.9632718.119323.319698.6923168.829598.930155.73133

23、09.240383.241076.09 第 2 地震方向各楼层的总剪力、总弯矩Y层号本方向剪力本方向弯矩手算倾覆力矩51010.43233.33334.3241680.78651.38880.6332101.615318.115815.9122392.922735.023712.4812667.030942.632513.58 (ITEM028) 框剪结构中柱剪力0.2Q0调整系数 _ SUBNOV1-XCOEF1V2-YCOEF20.2Q0654.831492.1315242.032.71597.111.004207.753.15964.201.003178.413.671486.491.0

24、02523.691.2525.421.501116.945.601789.451.00 (ITEM055) 框剪结构中框架承担的基底地震倾覆力矩百分比 地震方向框架倾覆力矩墙倾覆力矩框架倾覆力矩百分比(%)框架+墙的总倾覆力矩14230.836868.210.2941099.0219399.516841.053.5336240.52.1.3.2 COLUF.*和SUBWF.*、SUBWG.*5层柱X柱号工况ZX面剪力ZY面剪力轴力1EX79.40.00.02EX44.00.062.03EX-3.80.00.04EX44.00.0-62.05EX79.40.00.0合计243.01111_TB.

25、ABS242.03Y柱号工况ZX面剪力ZY面剪力轴力1EY0.098.250.22EY0.0133.70.03EY0.0201.10.04EY0.0133.70.05EY0.098.2-50.2合计664.51111_TB.ABS597.11墙X墙号ELFx_T/L-VFy_T/L-NVXVY1EX69.667.169.62EX69.667.169.63EX69.6-67.169.64EX69.6-67.169.65EX165.621.7165.66EX165.6-21.7165.67EX165.6-21.7165.68EX165.621.7165.6合计0940.8ELSE LDFz_T/L

26、VXVY1EX8.18.12EX-8.1-8.13EX8.18.14EX-8.1-8.15EX-1.9-1.96EX1.91.97EX-1.9-1.98EX1.91.9合计Y墙号ELFx_T/L-VFy_T/L-NVXVY1EY-9.2-38.1-9.22EY9.238.19.23EY-9.238.1-9.24EY9.2-38.19.25EY-21.9-7.9-21.96EY21.9-7.921.97EY-21.97.9-21.98EY21.97.921.9合计0ELSE LDFz_T/LVXVY1EY-39.339.32EY-39.339.33EY-39.339.34EY-39.339.35

27、EY-54.154.16EY-54.154.17EY-54.154.18EY-54.154.1合计373.64层柱X柱号工况ZX面剪力ZY面剪力轴力1EX67.10.00.02EX35.40.0135.13EX3.30.00.04EX35.40.0-135.15EX67.10.00.0合计208.31111_TB.ABS207.75Y柱号工况ZX面剪力ZY面剪力轴力1EY0.0167.0157.32EY0.0189.90.03EY0.0281.80.04EY0.0189.90.05EY0.0167.0-157.3合计995.61111_TB.ABS964.20墙X墙号ELFx_T/LFy_T/

28、LVXVY1EX150.3159.2150.32EX150.3159.2150.33EX150.3-159.2150.34EX150.3-159.2150.35EX315.7-164.7315.76EX315.7164.7315.77EX315.7164.7315.78EX315.7-164.7315.7合计1864.0EL-S-LDFz_T/LVXVY1EX8.38.32EX-8.3-8.33EX8.38.34EX-8.3-8.35EX-2.1-2.16EX2.12.17EX-2.1-2.18EX2.12.1合计Y墙号ELFx_T/LFy_T/LVXVY1EY-7.3-116.8-7.32E

29、Y7.3116.87.33EY-7.3116.8-7.34EY7.3-116.87.35EY-20.2-8.9-20.26EY20.2-8.920.27EY-20.28.9-20.28EY20.28.920.2合计0EL-S-LDFz_T/LVXVY1EY-77.277.22EY-77.277.23EY-77.277.24EY-77.277.25EY-101.7101.76EY-101.7101.77EY-101.7101.78EY-101.7101.7合计715.63层柱X柱号工况ZX面剪力ZY面剪力轴力1EX65.70.00.02EX24.00.0209.53EX-1.10.00.04EX

30、24.00.0-209.55EX65.70.00.0合计178.31111_TB.ABS178.41Y柱号工况ZX面剪力ZY面剪力轴力1EY0.0239.7294.12EY0.0338.00.03EY0.0334.90.04EY0.0338.00.05EY0.0239.7-294.1合计1490.31111_TB.ABS1486.49 墙X墙号ELFx_T/LFy_T/LVXVY1EX56.6248.556.62EX56.6248.556.63EX56.6-248.556.64EX56.6-248.556.65EX584.4-508.0584.46EX584.4508.0584.47EX584

31、.4508.0584.48EX584.4-508.0584.4合计2564.0ELSELDFz_T/LVXVY1EX7.12EX-7.13EX7.14EX-7.15EX-1.36EX1.37EX-1.38EX1.3合计Y墙号ELFx_T/LFy_T/LVXVY1EY30.7-212.130.72EY-30.7212.1-30.73EY30.7212.130.74EY-30.7-212.1-30.75EY-10.812.5-10.86EY10.812.510.87EY-10.8-12.5-10.88EY10.8-12.510.8合计0ELSELDFz_T/LVXVY1EY-84.084.02EY

32、-84.084.03EY-84.084.04EY-84.084.05EY-76.076.06EY-76.076.07EY-76.076.08EY-76.076.0合计640.02层柱X柱号工况ZX面剪力ZY面剪力轴力1EX96.00.00.02EX49.716.5547.53EX49.7-16.5-547.54EX48.20.0283.55EX37.40.00.06EX48.20.0-283.57EX49.7-16.5547.58EX49.716.5-547.59EX96.00.00.0合计524.61111_TB.ABS523.69Y柱号工况ZX面剪力ZY面剪力轴力1EY0.0-151.93

33、58.52EY33.687.6-49.63EY-33.687.6-49.64EY0.022.50.05EY0.0-95.50.06EY0.022.50.07EY-33.687.649.68EY33.687.649.69EY0.0-151.9-358.5合计-3.91111_TB.ABS25.42墙X墙号ELFx_T/LFy_T/LVXVY1EX652.3236.6652.32EX23.8107.023.83EX-23.8107.0-23.84EX652.3236.6652.35EX652.3-236.6652.36EX23.8-107.023.87EX-23.8-107.0-23.88EX65

34、2.3-236.6652.3合计2609.20ELSELDFz_T/LVXVY1EX6.1-6.12EX9.19.13EX9.19.14EX-6.16.15EX6.1-6.16EX9.19.17EX9.19.18EX-6.16.1合计36.40.0Y墙号ELFx_T/LFy_T/LVXVY1EY86.1-407.886.12EY637.4-46.9637.43EY637.446.9637.44EY-86.1407.8-86.15EY86.1407.886.16EY637.446.9637.47EY637.4-46.9637.48EY-86.1-407.8-86.1合计02549.6ELSELD

35、Fz_T/LVXVY1EY36.5-36.52EY-8.5-8.53EY8.58.54EY36.5-36.55EY36.5-36.56EY-8.5-8.57EY8.58.58EY36.5-36.5合计-146.01层柱X柱号工况ZX面剪力ZY面剪力轴力1EX36.50.00.02EX16.70.0353.83EX11.00.00.04EX16.70.0-353.85EX36.50.00.0合计117.4001111_TB.ABS116.94Y柱号工况ZX面剪力ZY面剪力轴力1EY0.0350.9414.32EY0.0425.70.03EY0.0380.20.04EY0.0425.70.05EY0.0350