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'一、工程概况1、工程名称:首都博物馆新馆青铜幕墙工程2、工程地点:北京市长安街16号3、建设单位:首都博物馆新馆建设工程业主委员会本计算仅取室外铜板幕墙中的一块标准板及加强钢龙骨系统为计算对象,其中:一、铜板厚度:t=1.5mm;二、边界龙骨:40X20X2.5mm不锈钢槽;三、水平龙骨:40X30X2.5mm不锈钢槽;四、连接杆:圆钢管φ26X2mm;与钢板连接管φ60X5mm(模拟连接槽钢)计算采用美国Ansys有限元分析软件进行整体分析。幕墙高度范围在+35.730至42.000m,铜板分格横向为水平,竖向成倾斜角度,整个板面幕墙成椭圆面倾斜安装。二、计算采用的基本荷载1、北京地区的基本风压值:按50年一遇WO=0.45KN/m22、地面粗糙类别:C类3、根据《建筑结构荷载规范》作用在建筑物表面的平均风压标准值WK按下式计算:WK=βZμZμZWOβZ——振风系数,按《建筑结构荷载规范》GB50009-2001表7.5.1确定。WO---基本风压值,wo=0.45KN/m24、高度修正系数μZ17/17
高度修正系数:μZ(按GB50009-2001规范)5、体形系数μS;计算直接承受风荷载的围护构件,由于没有风洞试验数据,铜面板计算按《玻璃幕墙工程技术规范》JGJ102-2003取值:6、设计地震烈度:8度(近震)乙类抗震建筑7、结构自重:因为采用程序计算,可由电脑程序自动叠加。三、荷载计算荷载计算是按国家规范和行业规范和标准GB50009-2001和JGJ102-2003及GBJ17-88的有关规定进行的。1、幕墙围护构件的水平风荷载值(JGJ102-2003规范)计算公式:WK=βzμSμZW0W=1.4XWK高度(米)标准值(KN/m2)设计值(KN/m2)401.77×1.2×1.13×0.45=1.01.4其中:W0————基本风压值W0=0.45KN/m2βZ————阵风系数GB50009-2001规定.μS————体型系数μS=1.2(已考虑吸力)μZ————高度修正系数,按GB50009-2001规范取用,μZ=1.13W————风荷载的设计值(KN/m2)1.4————风荷载的分项系数2、作用在幕墙围护构件上的水平地震力按常遇地震计算(近震),基本设计烈度7度计算计算公式:qEK=17/17
qE=1.3qEK对铜面板水平地震荷载列为下表:序号铜板的规格(mm)标准值(KN/m2)设计值(KN/m2)11.55×0.16×82.6×0.0015=0.10.13其中:βE————动力放大系数,按JGJ102-2003和JGJ133-2001规范;对玻璃、铝板、石材统按βE=5.0取值。αmax————地震荷载影响系数αmax=0.16———8度————单位平方米的幕墙构件重量(KN/m2)1.3———地震荷载的分项系数四、荷载组合1、荷载组合的公式和系数S=rGSG+φWrWSW+φErESE+φTrTST其中:S————荷载和作用效应组合后的设计值SG————重力荷载作为永久荷载产生的效应SW、SE、ST————分别为风荷载、地震作用和温度作用作为可变荷载和作用产生的效应。rG、rW、rE、rT————各效应的分项系数φW、φE、φT————分别为风荷载、地震荷载、温度作用效应组合系数,第二可变荷载:φW=0.52、计算幕墙围护构件的水平荷载组合:幕墙种类幕墙高度(m)标准值(KN/m2)设计值(KN/m2)17/17
外墙室外部分铜板401.0+0.5X0.1=1.051.47五、铜板幕墙围护计算(一)、说明1、本计算按国内相关规范与标准进行校核验算。计算书仅为标准板块:高3m;宽0.956m,详见下列附图1。附图1:整体计算的标准板模型(1)2、计算输入条件按上面荷载组合值计算,模型作用外荷载取面荷载,作用于正立面p=1.47KN/m2,重力荷载由程序自动进行。分项系数取1.2。根据正常使用阶段工况进行。17/17
3、计算结果同校核详见相关附图及附表。(1)板面计算结果1)位移:最大位移在板面中部fmax=10.3/1.4=7.4mmfmax/L=7.4/956=1/130。2)单元计算结果:最大应力:756#单元σmax=79.1N/mm2<[σ]=390N/mm2(2)边部龙骨1)位移:fmax=1.0mmfmax/L=1.0/3200=1/3200<1/300,通过。2)单元结果:最大应力:1305#单元压应力σmax=-24.2N/mm2<φ[σ]=0.5X215=107.5N/mm2(3)板中水平龙骨1)位移:fmax=2.0mmfmax/L=2.0/956=1/478<1/300,通过。2)单元结果:最大应力:1395#单元压应力σmax=-46.7N/mm2<φ[σ]=0.5X215=107.5N/mm2(五)支座反力计算安装杆位置:最大轴向力:节点1227#竖向N(y)max=0.48KN;(竖向合力:Fy=0.5KN)最大水平力;节点1227#水平力:Q=0.8KN。(水平合力:Fx=4.2KN)最大弯矩:Mmax=017/17
六、结论与说明以上方案计算,虽然取标准板块建模计算,但由于整个幕墙板块边界条件清楚,板块与板块之间的相互作用可以分别独立计算,因此采用分解计算不会产生较大偏差。本计算模型在电子空间内为1:1的实际模拟尺寸,计算结果符合实际情况。通过计算并进行综合分析比较,认为该铜板幕墙安全、稳定,板内钢龙骨对整个板面体系起关键作用。铜板悬挂连接在构造和受力上可以满足规范要求,变形协调性理想。但应注意在连接杆件端头的板内局部应力集中问题,需要在节点处理上注意和改进,整个结构经计算认为是安全的。七、附图、数据表附图2:整体计算的标准板模型(2)17/17
附图3:整体计算的标准板模型(3)附图4:整体计算的标准板模型(4)17/17
附图5:整体计算的标准板模型(5)附图6:整体计算的标准板模型(6)17/17
附图7:整体计算的应力结果图(1)附图8:整体计算的应力结果图(2)17/17
附图9:整体计算的应力结果图(3)附图10:整体模型的位移计算结果图(1)17/17
附图11:整体模型的位移计算结果图(2)附图12:整体模型的位移计算结果图(3)17/17
附表1:铜板单元计算应力与节点位移(N/mm2;mm)PRINTELEMENTTABLEITEMSPERELEMENT*****POST1ELEMENTTABLELISTING*****STATMIXEDMIXEDMIXEDMIXEDMIXEDELEMUX(mm)UY(mm)UZ(mm)SINT(N/mm2)SEQV(N/mm2)10.59082E-02-0.36823E-02-0.3098037.33134.08020.59090E-02-0.34536E-02-0.3340532.81529.73430.59098E-02-0.32225E-02-0.5439323.37021.77540.59106E-02-0.29887E-02-0.6960328.16225.49450.59113E-02-0.27529E-02-0.7871535.83331.55060.59119E-02-0.25155E-02-0.8479140.58535.58670.59124E-02-0.22768E-02-0.8900843.27237.89980.59128E-02-0.20372E-02-0.9179644.68239.11690.59130E-02-0.17969E-02-0.9334845.23539.591100.59131E-02-0.15561E-02-0.9374745.11539.485110.59130E-02-0.13147E-02-0.9300744.34838.814120.59130E-02-0.10729E-02-0.9109042.82337.486130.59129E-02-0.83057E-03-0.8791640.32635.310140.59128E-02-0.58753E-03-0.8337436.56832.040150.59127E-02-0.34358E-03-0.7734131.22327.395160.59126E-02-0.98462E-04-0.6965123.85121.041170.59126E-020.14813E-03-0.5975913.80212.933180.59125E-020.39657E-03-0.4570014.87213.429190.59122E-020.64716E-03-0.2775017.87515.761200.59118E-020.89974E-03-0.2501822.59221.356210.56878E-02-0.37475E-02-0.2952432.56029.517220.56888E-02-0.35187E-02-0.3487032.29531.521230.56893E-02-0.32877E-02-0.7342220.31319.081240.56895E-02-0.30543E-02-1.099518.34316.761250.56896E-02-0.28189E-02-1.344214.05713.340260.56895E-02-0.25817E-02-1.500812.63712.064270.56893E-02-0.23432E-02-1.600513.35112.137280.56888E-02-0.21037E-02-1.661513.97212.482290.56882E-02-0.18635E-02-1.693714.30512.700300.56875E-02-0.16227E-02-1.702114.31112.690310.56866E-02-0.13814E-02-1.688313.98712.433320.56856E-02-0.11398E-02-1.650913.33511.946330.56846E-02-0.89759E-03-1.586512.38111.299340.56836E-02-0.65479E-03-1.489611.20310.684350.56825E-02-0.41119E-03-1.353810.95710.497360.56815E-02-0.16651E-03-1.172512.62311.24617/17
370.56804E-020.79558E-04-0.9358214.76012.848380.56793E-020.32736E-03-0.6266014.31812.993390.56781E-020.57722E-03-0.2961237.41833.944400.56766E-020.82939E-03-0.2382117.54015.385410.54671E-02-0.38122E-02-0.4645122.27420.270*****POST1ELEMENTTABLELISTING*****STATMIXEDMIXEDMIXEDMIXEDMIXEDELEMUXUYUZSINTSEQV420.54681E-02-0.35833E-02-0.6800819.19218.038430.54686E-02-0.33522E-02-1.12764.56694.4437440.54686E-02-0.31189E-02-1.64537.99517.8773450.54682E-02-0.28835E-02-2.064910.5369.5503460.54675E-02-0.26465E-02-2.358610.2548.9298470.54666E-02-0.24080E-02-2.55089.29978.0586480.54655E-02-0.21686E-02-2.66908.60667.4912490.54641E-02-0.19283E-02-2.73248.30837.2367500.54625E-02-0.16876E-02-2.75258.30577.2224510.54608E-02-0.14464E-02-2.73368.54647.4179520.54589E-02-0.12048E-02-2.67439.06167.8507530.54570E-02-0.96277E-03-2.56829.90708.5864540.54551E-02-0.72024E-03-2.404811.0559.6671550.54531E-02-0.47700E-03-2.171812.27010.990560.54511E-02-0.23281E-03-1.858712.95512.091570.54492E-020.12660E-04-1.462211.82811.719580.54472E-020.25975E-03-1.00358.71147.8753590.54451E-020.50885E-03-0.5860913.91112.648600.54429E-020.76033E-03-0.3800215.54914.108610.52466E-02-0.38762E-02-0.5721521.94320.213620.52474E-02-0.36473E-02-0.9666716.00914.193630.52477E-02-0.34160E-02-1.52849.01309.0111640.52476E-02-0.31826E-02-2.135013.30011.578650.52469E-02-0.29472E-02-2.671317.14715.102660.52458E-02-0.27100E-02-3.081219.88217.391670.52444E-02-0.24715E-02-3.365521.55018.725680.52426E-02-0.22319E-02-3.547122.48619.482690.52406E-02-0.19916E-02-3.649322.97219.895700.52382E-02-0.17507E-02-3.688223.18820.086710.52357E-02-0.15095E-02-3.671623.22020.115720.52330E-02-0.12679E-02-3.599223.08819.995730.52302E-02-0.10261E-02-3.463022.76519.716740.52274E-02-0.78385E-03-3.249122.20519.239750.52246E-02-0.54101E-03-2.940621.32318.47317/17
760.52217E-02-0.29733E-03-2.523719.84117.188770.52189E-02-0.52534E-04-1.999817.03114.909780.52161E-020.19375E-03-1.407412.04611.586790.52133E-020.44195E-03-0.8532514.27112.367800.52105E-020.69250E-03-0.4849712.47411.985810.50259E-02-0.39396E-02-0.6087024.41921.615820.50265E-02-0.37107E-02-1.092710.1688.8926*****POST1ELEMENTTABLELISTING*****STATMIXEDMIXEDMIXEDMIXEDMIXEDELEMUXUYUZSINTSEQV830.50267E-02-0.34793E-02-1.744411.72010.361840.50264E-02-0.32456E-02-2.409517.81415.481850.50256E-02-0.30099E-02-3.002722.28919.490860.50243E-02-0.27725E-02-3.476725.54922.277870.50225E-02-0.25337E-02-3.821727.87124.191880.50202E-02-0.22939E-02-4.051729.37625.445890.50175E-02-0.20533E-02-4.187530.24226.193900.50145E-02-0.18122E-02-4.246830.64226.551910.50112E-02-0.15708E-02-4.239630.68026.586920.50078E-02-0.13293E-02-4.167330.37326.310930.50042E-02-0.10876E-02-4.022229.64925.677940.50006E-02-0.84562E-03-3.789228.36324.587950.49970E-02-0.60319E-03-3.448526.32222.882960.49934E-02-0.36007E-03-2.982323.30920.310970.49898E-02-0.11598E-03-2.388619.02616.508980.49863E-020.12941E-03-1.703712.91911.462990.49828E-020.37656E-03-1.029811.0619.61491000.49794E-020.62597E-03-0.5448621.14818.7351010.48048E-02-0.40025E-02-0.6041722.40819.7501020.48054E-02-0.37735E-02-1.08558.63487.52261030.48055E-02-0.35419E-02-1.737912.33210.8331040.48051E-02-0.33080E-02-2.398718.90316.3751050.48042E-02-0.30720E-02-2.987423.31720.2441060.48027E-02-0.28342E-02-3.466326.21922.7721070.48007E-02-0.25949E-02-3.825628.22124.4741080.47980E-02-0.23546E-02-4.073229.59125.6311090.47949E-02-0.21135E-02-4.225730.44226.3661100.47913E-02-0.18721E-02-4.298830.87226.7491110.47874E-02-0.16305E-02-4.303330.95026.8201120.47832E-02-0.13888E-02-4.241830.68226.5791130.47789E-02-0.11472E-02-4.108629.99525.9761140.47746E-02-0.90555E-03-3.889928.72524.90017/17
1150.47704E-02-0.66357E-03-3.565426.61723.1621160.47662E-02-0.42103E-03-3.114723.33420.4541170.47620E-02-0.17766E-03-2.528518.50116.2831180.47578E-020.66811E-04-1.830911.75010.1761190.47537E-020.31277E-03-1.11348.58167.57741200.47497E-020.56083E-03-0.5749425.98922.8961210.45831E-02-0.40650E-02-0.5732817.26915.2631220.45836E-02-0.38359E-02-0.985729.98228.65221230.45837E-02-0.36041E-02-1.549312.47411.701*****POST1ELEMENTTABLELISTING*****STATMIXEDMIXEDMIXEDMIXEDMIXEDELEMUXUYUZSINTSEQV1240.45834E-02-0.33699E-02-2.126617.44115.2771250.45825E-02-0.31335E-02-2.644220.31717.6101260.45810E-02-0.28951E-02-3.069821.89118.9601270.45788E-02-0.26552E-02-3.394822.78919.7451280.45760E-02-0.24142E-02-3.624223.37320.2461290.45725E-02-0.21725E-02-3.769923.75520.5731300.45685E-02-0.19305E-02-3.844223.95920.7511310.45641E-02-0.16885E-02-3.856423.99120.7811320.45593E-02-0.14466E-02-3.810123.84320.6501330.45544E-02-0.12050E-02-3.702223.46620.3231340.45495E-02-0.96362E-03-3.522122.76019.7331350.45447E-02-0.72214E-03-3.253221.57218.7551360.45400E-02-0.48027E-03-2.875519.68417.1541370.45355E-02-0.23765E-03-2.374116.67814.4731380.45309E-020.59717E-05-1.758011.49610.1441390.45262E-020.25076E-03-1.09579.47838.40521400.45216E-020.49723E-03-0.5761726.77623.6271410.43605E-02-0.41271E-02-0.5258710.9569.78751420.43610E-02-0.38979E-02-0.8337010.3788.98781430.43612E-02-0.36660E-02-1.250212.14911.3921440.43611E-02-0.34315E-02-1.681812.92212.4551450.43604E-02-0.31946E-02-2.073013.47212.2771460.43589E-02-0.29555E-02-2.398212.97111.4581470.43568E-02-0.27148E-02-2.650012.03810.4691480.43539E-02-0.24730E-02-2.831011.0929.60631490.43503E-02-0.22304E-02-2.948110.3668.98951500.43460E-02-0.19877E-02-3.00959.90848.60701510.43412E-02-0.17450E-02-3.02189.66338.40171520.43360E-02-0.15027E-02-2.98849.57388.33211530.43306E-02-0.12610E-02-2.90859.64248.399117/17
1540.43252E-02-0.10198E-02-2.77649.95158.65301135-0.40110E-02-0.58243E-02-0.7812614.33013.1811136-0.37533E-02-0.57370E-02-0.5875417.67215.8431137-0.60151E-02-0.67192E-02-0.2529422.83321.7631138-0.57725E-02-0.66460E-02-0.2416917.63915.5211139-0.55279E-02-0.65712E-02-0.3857315.20613.8921140-0.52815E-02-0.64948E-02-0.4925012.36411.8841141-0.50333E-02-0.64167E-02-0.5537821.11518.7071142-0.47833E-02-0.63368E-02-0.5850625.97622.8861143-0.45312E-02-0.62547E-02-0.5873626.77123.6231144-0.42763E-02-0.61702E-02-0.5584723.52520.9161145-0.40174E-02-0.60830E-02-0.5007517.27715.6101146-0.37574E-02-0.59945E-02-0.437359.96168.7183*****POST1ELEMENTTABLELISTING*****STATMIXEDMIXEDMIXEDMIXEDMIXEDELEMUXUYUZSINTSEQVMINIMUMVALUESELEM9471137561385937VALUE-0.60526E-02-0.67192E-02-10.2381.81121.6489MAXIMUMVALUESELEM1020558756756VALUE0.59131E-020.89974E-03-0.15264E-0179.22369.354附表2:铜板支座反力计算结果(N)PRINTREACTIONSOLUTIONSPERNODE*****POST1TOTALREACTIONSOLUTIONLISTING*****LOADSTEP=1SUBSTEP=1TIME=1.0000LOADCASE=0THEFOLLOWINGX,Y,ZSOLUTIONSAREINGLOBALCOORDINATESNODEFXFYFZMXMYMZ61245.38223212.7217/17
1054247.011072215.001225-0.36244-0.108941.930812260.370600.111400.81249122771.745418.39780.781228-38.146141.24759.2012290.338200.1016614.0741230-0.37881-0.11386-11.6051231-78.244-213.06775.01123244.67679.847774.88TOTALVALUESVALUE0.13241E-08426.414015.20.00000.00000.000017/17'
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