第十四屆同濟大學結(jié)構(gòu)設(shè)計大賽計算書

1、同濟大學 力戰(zhàn)到底隊2013結(jié)構(gòu)賽計算書第十四屆同濟大學結(jié)構(gòu)設(shè)計大賽郭弘原1151018孫磊 1151406黃河 1151513 目錄一、設(shè)計說明21、方案構(gòu)思22、結(jié)構(gòu)選型22.1材料截面選擇32.2節(jié)點設(shè)計3二、方案設(shè)計41.幾何模型42.材料特性43.桿件截面特性5三、負載模式71.豎向靜力加載72.水平向靜力加載73.水平向沖擊加載7五、結(jié)構(gòu)計算結(jié)果71.變形形狀82.節(jié)點位移83.桿件內(nèi)力91)軸力、剪力92)彎矩164.板塊內(nèi)力225.地基沉降23六、結(jié)構(gòu)分析總結(jié)24一、設(shè)計說明根據(jù)競賽規(guī)則要求，我們從模型制作的材料抗壓特性，沖擊荷載形式和靜力加載大小要求等方面出發(fā)，結(jié)合節(jié)省材料，

2、經(jīng)濟美觀，承載力強等特點，采用比賽提供的白卡紙，白乳膠精心設(shè)計制作了“力戰(zhàn)到底”結(jié)構(gòu)模型，空間桁架結(jié)構(gòu)為該模型的一大亮點。1、方案構(gòu)思模型主要承受150N豎直靜荷載、30N水平靜荷載和一定的水平?jīng)_擊荷載，豎直靜荷載較容易滿足，而水平?jīng)_擊荷載結(jié)構(gòu)的剛度要求較高，同時要求結(jié)構(gòu)有較強的抗剪能力。（1）本結(jié)構(gòu)主要構(gòu)思是想利用兩榀剛架連接后形成的立方體結(jié)構(gòu)來抵抗荷載的作用（2）設(shè)計的總原則是：盡可能的利用豎向支撐的四根承重柱來提高柱子的承載力而在柱子之間輔以交叉的斜撐來穩(wěn)定結(jié)構(gòu)，并利用白卡紙優(yōu)良的抗拉性能，及抗壓性能來抵抗荷載的作用。2、結(jié)構(gòu)選型我們選擇三角形為結(jié)構(gòu)單元，受力均勻，便于白卡紙性能的發(fā)揮，

3、我們以空間剛架的結(jié)構(gòu)為主導。整體外形為立方體剛架，節(jié)點間有斜撐連接，基礎(chǔ)選擇為筏型基礎(chǔ)。2.1材料截面選擇主體承重柱子截面為四根10mm*10mm雙層方筒和15*15雙層方筒的桿件粘接而成，保證抗壓的同時減輕材料的質(zhì)量。10*10的兩個直角三角形拼接而成的斜撐穩(wěn)定性較好，節(jié)省材料，整體穩(wěn)定。底部筏型基礎(chǔ)的梁也采取15*15雙層方筒的桿件。2.2節(jié)點設(shè)計 主體框架結(jié)構(gòu)相交的節(jié)點由于桿的傾斜在加動載和靜載時會引起較大的剪力，在連接時用加長桿件的長度，多余部分裁剪合適造型粘接另一桿件來加大節(jié)點強度，從而在結(jié)構(gòu)受力計算時一些節(jié)點模擬成剛節(jié)點。斜撐相交時，將斜撐直接搭接，并用小片的紙張輔以白乳膠粘接，避

4、免直接穿插的榫接節(jié)點破壞材料的局部力學特性。二、方案設(shè)計1.幾何模型2.材料特性名稱種類層數(shù)彈性模量(MPa)重量密度N/mm3質(zhì)量密度N-s2/mm4230克白卡紙156.97.5137E-067.6618E-102148.2對象類型總數(shù)總長 MM總重N框架7311600.593.41板塊36.013.桿件截面特性面積類型圖像1*1單層方筒1*1雙層方筒(0.34m)1*1三角形筒1*1單層三角形拼接1.5*1.5雙層方筒(0.34m)1.5*1.5雙層三角形拼接(0.26m)面積類型面積（mm2）最大承受壓力(N)安全承受壓力（N,安全系數(shù)1.5）壓桿穩(wěn)定最大壓力(N)I(mm4)壓桿穩(wěn)定

5、安全最大壓力(N)1*1單層方筒12845610.26057488182.70928.5504790671*1雙層方筒(0.34m)24.72173.04115.3620.31748822401.4416.931240181*1三角形筒10.2471.6847.786666672.6973451648.03142.2477876331*1單層三角形拼接20.49143.4395.6213.34863339237.69811.123861161.5*1.5雙層方筒(0.34m)36.72257.04171.3660.555022521196.46750.462518761.5*1.5雙層三角形拼

6、接(0.26m)62.68438.76292.5066667132.98876471536.577110.8239706三、負載模式1. 豎向靜力加載將模型居中放置在加載平臺上，在柱腳距砂面10mm處用水筆標記沉降控制線，通過加載圓盤加載，最大豎向荷載為150N，分三級加載，每級荷載增量為50N。進行受力分析時，我組將豎向荷載設(shè)計為均布面荷載。2. 水平向靜力加載在豎向靜力加載中模型未垮塌，則該模型可進行水平向靜力加載。保持豎向150N靜力荷載不變，通過拉索和滑輪施加水平拉力30N，記錄結(jié)構(gòu)頂點水平向位移（包括模型傾斜引起的位移）?？紤]豎向砝碼以角鋼固定在本結(jié)構(gòu)上，因此水平荷載可設(shè)計為均布線荷

7、載。3. 水平向沖擊加載在水平向靜力加載中模型未垮塌，則該模型可進行水平向沖擊加載。保留豎向靜力加載150N和水平向靜力荷載30N，將20N砝碼提至30N砝碼面上方約300mm處（拉索上有記號），突然釋放20N砝碼，以自由落體方式?jīng)_擊30N砝碼。五、結(jié)構(gòu)計算結(jié)果1. 變形形狀2. 節(jié)點位移以下結(jié)果是第三次加載后的結(jié)構(gòu)變形情況：JointU1U2U3mmmmmm100.0000000.00000020-0.0057580.08346430.027567-0.0067320.10985240.0391630.000341-0.528607500.0000000.00000060-0.0076050

8、.08342270.040577-0.000699-0.490945800.0000000.000000900.005097-0.886324100.0323310.006622-1.1259641100.0000000.0000001200.007424-0.707865131.173982-0.0366410.207878161.17188-0.0804900.25244917-0.03625-0.0061650.027744181.182901-0.096759-2.26679519-0.027020.003757-0.236018201.179817-0.009956-2.171754

9、212.45768-0.119468-0.097571222.37541-0.118024-0.070463232.4561630.149424-1.589358242.455286-0.120152-0.041853252.452298-0.383912-1.519731262.457765-0.114541-3.095334272.58459-0.116222-3.047506282.455376-0.114372-3.011505294.052178-0.169750-0.406291324.049388-0.192838-0.340885344.063758-0.193697-3.89

10、2085364.060869-0.157468-3.817264由圖表可知x軸方向最大位移不超過4.07mm，豎向位移最大不超過3.90mm。3. 桿件內(nèi)力1) 軸力、剪力第一次加載第二次加載第三次加載FrameStationPV2V3mmNNN10.00-20.58-4.879E-02-8.083E-03150.00-20.57-4.879E-02-8.083E-031100.00-20.55-4.879E-02-8.083E-0320.00-13.02-1.298E-020.0270.71-13.010.000.002141.42-12.991.298E-020.003000-13.55-

11、1.298E-020.00370.71-13.530.000.003141.42-13.521.298E-020.0040.00-10.67-3.445E-025.081E-03450.00-10.66-3.445E-025.081E-03450.00-21.32-6.890E-021.016E-024100.00-21.30-6.890E-021.016E-0250.00-13.03-1.298E-020.00570.71-13.010.000.005141.42-13.001.298E-020.0060.00-12.59-1.298E-020.00670.71-12.580.000.006

12、141.42-12.561.298E-020.0070.00-20.574.902E-02-8.476E-03750.00-20.554.902E-02-8.476E-037100.00-20.544.902E-02-8.476E-0380.00-13.03-1.298E-020.00870.71-13.020.000.008141.42-13.001.298E-020.0090.00-13.55-1.298E-020.00970.71-13.540.000.009141.42-13.521.298E-020.00100.00-10.683.434E-024.869E-031050.00-10

13、.663.434E-024.869E-031050.00-21.336.868E-029.738E-0310100.00-21.326.868E-029.738E-03110.00-13.02-1.298E-020.001170.71-13.000.000.0011141.42-12.991.298E-020.00120.00-12.59-1.298E-020.001270.71-12.570.000.0012141.42-12.561.298E-020.00130.00-20.12-3.164E-02-2.148E-021380.00-20.10-3.164E-02-2.148E-02131

14、60.00-20.08-3.164E-02-2.148E-02160.00-20.74-3.978E-02-4.083E-031680.00-20.72-3.978E-02-4.083E-0316160.00-20.70-3.978E-02-4.083E-03190.00-20.123.054E-02-2.030E-021980.00-20.093.054E-02-2.030E-0219160.00-20.073.054E-02-2.030E-02200.00-10.663.445E-025.081E-032025.00-10.673.445E-025.081E-032050.00-10.67

15、3.445E-025.081E-03220.00-20.754.084E-02-2.963E-032280.00-20.734.084E-02-2.963E-0322160.00-20.714.084E-02-2.963E-03230.00-10.683.434E-024.869E-032325.00-10.673.434E-024.869E-032350.00-10.663.434E-024.869E-03250.00-17.10-7.328E-04-2.670E-032585.00-17.08-7.328E-04-2.670E-0325170.00-17.06-7.328E-04-2.67

16、0E-03270.000.27-3.673E-021.253E-0527282.840.273.672E-021.253E-05280.00-17.082.129E-032.402E-042885.00-17.062.129E-032.402E-0428170.00-17.032.129E-032.402E-04290.00-8.389E-04-3.668E-021.052E-0429282.84-8.389E-043.677E-021.052E-04300.000.53-3.691E-02-2.911E-0430282.840.533.654E-02-2.911E-04310.00-17.0

17、8-2.445E-034.591E-043185.00-17.06-2.445E-034.591E-0431170.00-17.04-2.445E-034.591E-04340.00-17.101.028E-033.343E-033485.00-17.071.028E-033.343E-0334170.00-17.051.028E-033.343E-03370.00-16.657.011E-037.310E-033785.00-16.637.011E-037.310E-0337170.00-16.617.011E-037.310E-03400.00-16.661.168E-02-1.192E-

18、024085.00-16.631.168E-02-1.192E-0240170.00-16.611.168E-02-1.192E-02430.00-16.66-1.154E-021.185E-024385.00-16.64-1.154E-021.185E-0243170.00-16.62-1.154E-021.185E-02460.00-16.65-7.141E-03-7.361E-034685.00-16.62-7.141E-03-7.361E-0346170.00-16.60-7.141E-03-7.361E-03490.003.113E-03-0.185.073E-0349100.003

19、.113E-03-0.155.073E-0349100.00-3.113E-030.15-4.620E-0349200.00-3.113E-030.18-4.620E-03500.00-3.091E-03-0.25-1.280E-0350100.00-3.091E-03-0.22-1.280E-0350100.003.091E-030.221.715E-0350200.003.091E-030.251.715E-03510.001.847E-02-0.25-6.996E-0351100.001.847E-02-0.22-6.996E-0351100.00-1.297E-020.295.302E

20、-0351200.00-1.297E-020.315.302E-03520.001.644E-02-0.256.554E-0352100.001.644E-02-0.226.554E-0352100.00-1.099E-020.29-5.726E-0352200.00-1.099E-020.31-5.726E-03530.000.58-2.487E-021.628E-0453200.000.582.706E-021.628E-04540.000.51-2.703E-021.625E-0454200.000.512.491E-021.625E-04550.000.55-2.553E-02-5.9

21、03E-0555200.000.552.640E-02-5.903E-05560.000.55-2.757E-02-2.627E-0456200.000.552.436E-02-2.627E-04570.002.570E-032.581E-03-4.941E-0357100.002.570E-032.855E-02-4.941E-0357100.00-3.516E-03-2.557E-025.319E-0357200.00-3.516E-033.946E-045.319E-03580.00-3.672E-03-1.493E-045.787E-0358100.00-3.672E-032.582E

22、-025.787E-0358100.002.468E-03-2.885E-02-5.396E-0358200.002.468E-03-2.880E-03-5.396E-03590.002.898E-032.112E-034.267E-0359100.002.898E-032.808E-024.267E-0359100.00-4.504E-03-2.468E-02-4.782E-0359200.00-4.504E-031.286E-03-4.782E-03600.00-3.289E-03-9.229E-04-4.626E-0360100.00-3.289E-032.504E-02-4.626E-

23、0360100.001.694E-03-2.778E-024.405E-0360200.001.694E-03-1.814E-034.405E-03610.000.28-2.355E-028.518E-0561200.000.282.839E-028.518E-05620.000.28-2.839E-028.519E-0562200.000.282.355E-028.519E-05630.000.28-2.356E-02-8.590E-0563200.000.282.837E-02-8.590E-05640.000.28-2.839E-02-8.464E-0564200.000.282.354

24、E-02-8.464E-05810.00-12.365.230E-024.239E-038198.62-12.386.528E-024.239E-0381197.23-12.407.827E-024.239E-03820.00-12.38-7.681E-02-6.073E-038298.62-12.36-6.383E-02-6.073E-0382197.23-12.34-5.085E-02-6.073E-03830.00-12.345.080E-026.049E-038398.62-12.366.378E-026.049E-0383197.23-12.387.677E-026.049E-038

25、40.00-12.40-7.830E-02-4.234E-038498.62-12.38-6.532E-02-4.234E-0384197.23-12.36-5.234E-02-4.234E-03850.00-12.355.226E-024.191E-038598.62-12.386.525E-024.191E-0385197.23-12.407.823E-024.191E-03860.00-12.38-7.678E-02-6.031E-038698.62-12.36-6.379E-02-6.031E-0386197.23-12.34-5.081E-02-6.031E-03870.00-12.

26、345.088E-026.075E-038798.62-12.366.386E-026.075E-0387197.23-12.387.685E-026.075E-03880.00-12.40-7.822E-02-4.206E-038898.62-12.38-6.524E-02-4.206E-0388197.23-12.36-5.226E-02-4.206E-03890.00-11.036.351E-02-5.975E-038994.34-11.057.650E-02-5.975E-0389188.68-11.078.948E-02-5.975E-03900.00-11.06-0.106.304

27、E-039094.34-11.04-8.852E-026.304E-0390188.68-11.02-7.554E-026.304E-03910.00-10.646.489E-02-1.808E-039194.34-10.667.787E-02-1.808E-0391188.68-10.689.086E-02-1.808E-03920.00-10.66-9.004E-021.187E-039294.34-10.64-7.705E-021.187E-0392188.68-10.62-6.407E-021.187E-03930.00-11.007.480E-02-5.638E-039394.34-

28、11.028.779E-02-5.638E-0393188.68-11.040.10-5.638E-03940.00-11.09-9.026E-026.660E-039494.34-11.07-7.728E-026.660E-0394188.68-11.05-6.430E-026.660E-03950.00-11.357.035E-02-5.174E-039594.34-11.378.333E-02-5.174E-0395188.68-11.409.632E-02-5.174E-03960.00-11.38-9.547E-024.520E-039694.34-11.36-8.249E-024.

29、520E-0396188.68-11.34-6.950E-024.520E-03970.000.00-2.595E-02-2.778E-0897200.000.002.598E-02-2.778E-08980.000.00-2.567E-029.905E-0798200.000.002.626E-029.905E-07990.000.00-2.595E-02-4.434E-0899200.000.002.598E-02-4.434E-081000.000.00-2.637E-02-1.063E-06100200.000.002.556E-02-1.063E-061090.00-12.48-8.

30、794E-02-1.068E-0310998.62-12.45-7.496E-02-1.068E-03109197.23-12.43-6.198E-02-1.068E-031100.00-12.436.228E-021.643E-0411098.62-12.457.526E-021.643E-04110197.23-12.478.825E-021.643E-041110.00-12.47-8.997E-025.363E-0411198.62-12.45-7.699E-025.363E-04111197.23-12.43-6.400E-025.363E-041120.00-12.436.429E

31、-024.983E-0411298.62-12.457.727E-024.983E-04112197.23-12.479.025E-024.983E-041130.00-12.48-8.848E-02-1.236E-0311398.62-12.46-7.550E-02-1.236E-03113197.23-12.43-6.252E-02-1.236E-031150.00-12.446.396E-026.571E-0511598.62-12.467.694E-026.571E-05115197.23-12.488.993E-026.571E-051160.00-12.436.178E-021.3

32、65E-0511698.62-12.457.476E-021.365E-05116197.23-12.478.775E-021.365E-051170.00-12.48-8.968E-029.362E-0411798.62-12.45-7.669E-029.362E-04117197.23-12.43-6.371E-029.362E-04FrameStationPV2V3mmNNN0.004.26-0.55-1.995E-02150.004.27-0.55-1.995E-021100.004.29-0.55-1.995E-0220.002.63-1.298E-020.00270.712.640

33、.000.002141.422.651.298E-020.0030.00-11.041.298E-020.00370.71-11.030.000.003141.42-11.021.298E-020.0040.002.84-0.283.279E-03450.002.85-0.283.279E-03450.005.70-0.566.559E-034100.005.71-0.566.559E-0350.002.97-1.298E-020.00570.712.990.000.005141.423.001.298E-020.0060.00-9.99-1.298E-020.00670.71-9.970.0

34、00.006141.42-9.961.298E-020.0070.00-45.41-0.453.537E-03750.00-45.40-0.453.537E-037100.00-45.38-0.453.537E-0380.00-28.68-1.298E-020.00870.71-28.670.000.008141.42-28.651.298E-020.0090.00-16.06-1.298E-020.00970.71-16.040.000.009141.42-16.031.298E-020.00100.00-24.18-0.216.915E-031050.00-24.17-0.216.915E

35、-031050.00-48.34-0.431.383E-0210100.00-48.33-0.431.383E-02110.00-29.02-1.298E-020.001170.71-29.000.000.0011141.42-28.991.298E-020.00120.00-15.18-1.298E-020.001270.71-15.170.000.0012141.42-15.161.298E-020.00130.003.960.47-3.363E-031380.003.980.47-3.363E-0313160.004.000.47-3.363E-03160.005.390.47-1.07

36、9E-021680.005.410.47-1.079E-0216160.005.430.47-1.079E-02190.00-44.210.52-3.551E-021980.00-44.190.52-3.551E-0219160.00-44.170.52-3.551E-02200.002.850.283.279E-032025.002.840.283.279E-032050.002.840.283.279E-03220.00-46.880.552.029E-022280.00-46.860.552.029E-0222160.00-46.840.552.029E-02230.00-24.18-0

37、.216.915E-032325.00-24.18-0.216.915E-032350.00-24.17-0.216.915E-03250.00-9.220.10-5.319E-032585.00-9.200.10-5.319E-0325170.00-9.180.10-5.319E-03270.000.442.358E-020.6527282.840.449.703E-020.65280.00-8.899.150E-021.349E-022885.00-8.879.150E-021.349E-0228170.00-8.849.150E-021.349E-02290.00-8.513E-036.

38、784E-039.028E-0229282.84-8.513E-038.023E-029.028E-02300.000.534.840E-024.569E-0330282.840.530.124.569E-03310.00-24.987.502E-021.058E-023185.00-24.967.502E-021.058E-0231170.00-24.947.502E-021.058E-02340.00-25.329.955E-021.200E-023485.00-25.309.955E-021.200E-0234170.00-25.289.955E-021.200E-02370.00-9.

39、320.36-2.746E-023785.00-9.300.36-2.746E-0237170.00-9.280.36-2.746E-02400.00-9.030.343.728E-024085.00-9.010.343.728E-0240170.00-8.990.343.728E-02430.00-24.030.20-5.380E-024385.00-24.000.20-5.380E-0243170.00-23.980.20-5.380E-02460.00-24.300.237.347E-024685.00-24.280.237.347E-0246170.00-24.250.237.347E

40、-02490.005.010.30-3.330E-0249100.005.010.33-3.330E-0249100.00-5.010.63-3.903E-0249200.00-5.010.65-3.903E-02500.005.200.282.736E-0250100.005.200.312.736E-0250100.00-5.200.753.461E-0250200.00-5.200.783.461E-02510.00-4.989E-022.657E-028.492E-0251100.00-4.989E-025.254E-028.492E-0251100.00-4.471E-02-6.65

41、2E-02-7.871E-0251200.00-4.471E-02-4.055E-02-7.871E-02520.007.807E-02-0.529.383E-0252100.007.807E-02-0.499.383E-0252100.004.108E-020.64-9.430E-0252200.004.108E-020.67-9.430E-02530.000.570.225.367E-0353200.000.570.275.367E-03540.000.510.23-5.074E-0354200.000.510.28-5.074E-03550.00-1.12-3.819E-02-6.550

42、E-0555200.00-1.121.375E-02-6.550E-05560.002.22-2.962E-02-2.857E-0456200.002.222.232E-02-2.857E-04570.00-0.190.41-0.1757100.00-0.190.44-0.1757100.000.210.390.1657200.000.210.420.16580.00-0.380.440.1758100.00-0.380.460.1758100.000.390.39-0.1658200.000.390.41-0.16590.007.393E-02-3.366E-02-5.133E-025910

43、0.007.393E-02-7.691E-03-5.133E-0259100.00-0.11-5.265E-035.016E-0259200.00-0.112.070E-025.016E-02600.00-8.609E-022.639E-020.2560100.00-8.609E-025.236E-020.2560100.009.476E-02-5.305E-02-0.2660200.009.476E-02-2.709E-02-0.26610.000.740.16-1.696E-0261200.000.740.22-1.696E-02620.000.730.161.329E-0262200.0

44、00.730.211.329E-02630.00-0.59-3.428E-02-2.150E-0363200.00-0.591.765E-02-2.150E-03640.000.93-3.261E-0215.0064200.000.931.933E-02-15.00810.001.540.170.158198.621.520.190.1581197.231.500.200.15820.00-26.210.12-0.158298.62-26.180.13-0.1582197.23-26.160.14-0.15830.00-7.025.722E-02-5.104E-028398.62-7.047.

45、021E-02-5.104E-0283197.23-7.068.319E-02-5.104E-02840.00-6.86-8.184E-024.455E-028498.62-6.84-6.885E-024.455E-0284197.23-6.81-5.587E-024.455E-02850.00-26.03-0.150.158598.62-26.05-0.130.1585197.23-26.08-0.120.15860.001.35-0.18-0.168698.621.37-0.17-0.1686197.231.40-0.16-0.16870.00-17.860.13-0.238798.62-17.880.14-0.2387197.23-17.910.16-0.23880.00-17.79-