基础工程学--

1、基础工程学作业：承受集中荷载的条形基础的抗弯刚度 EI=2X106 kN.m2 ,梁长I =10m,底 面宽度b=2m,地基土的弹性模量E=20MPa，泊松比上0.3。试按链杆法计算梁 的挠度、弯矩、地基反力分布曲线。要求：（1）为保证较为准确地给出挠度、弯矩、地基反力的分布形式，要求计算 截面不少于11个。（2）建议编程或借助于 Excel、Matlab等计算。提交的文本中应给出详细 计算过程。（3）独立完成，且勿抄袭，否则该作业成绩为 0。F=1000kN5m事5m解：1建立基本坐标系将梁分成20等份，每分段长度a = 10 = 0.5，并在距固定端（最左侧）0.25m20处设置第一根链杆

2、，设其内力为 X,，其余每隔长度a设置一个链杆，它们的内力依次为 X、X、X、X、X 、X 、X、X、X 、X 、X 、X 、 2345678910111213X 、X 、X 、X 、X 、X 、X 。另外，在固定端处梁的转角 0 14151617181920和竖向位移y0，此时未知数为22个2计算链杆处的变形协调方程的相关系数n梁的挠度 爲=-7 XjVj - S0 - ai ；0 .-：ip（i=1,2,3,门,其中:j = Sj Vj2.1计算系数Wij其中（辛）2（3牛-牛）Gj）Wj=1a： 2 a a：匚）2（3寸十）（ai a：）代入相关数据，用Excel可算得Wij，如下表。W

3、ijai/aj0.250.751.251.752.252.750.252.50E-011.00E+001.75E+002.50E+003.25E+004.00E+000.751.00E+006.75E+001.35E+012.03E+012.70E+013.38E+011.251.75E+001.35E+013.13E+015.00E+016.88E+018.75E+011.752.50E+002.03E+015.00E+018.58E+011.23E+021.59E+022.253.25E+002.70E+016.88E+011.23E+021.82E+022.43E+022.754.00E

4、+003.38E+018.75E+011.59E+022.43E+023.33E+023.254.75E+004.05E+011.06E+021.96E+023.04E+024.24E+023.755.50E+004.73E+011.25E+022.33E+023.65E+025.14E+024.256.25E+005.40E+011.44E+022.70E+024.25E+026.05E+024.757.00E+006.08E+011.63E+023.06E+024.86E+026.96E+025.257.75E+006.75E+011.81E+023.43E+025.47E+027.87E

5、+025.758.50E+007.43E+012.00E+023.80E+026.08E+028.77E+026.259.25E+008.10E+012.19E+024.17E+026.68E+029.68E+026.751.00E+018.78E+012.38E+024.53E+027.29E+021.06E+037.251.08E+019.45E+012.56E+024.90E+027.90E+021.15E+037.751.15E+011.01E+022.75E+025.27E+028.51E+021.24E+038.251.23E+011.08E+022.94E+025.64E+029

6、.11E+021.33E+038.751.30E+011.15E+023.13E+026.00E+029.72E+021.42E+039.251.38E+011.22E+023.31E+026.37E+021.03E+031.51E+039.751.45E+011.28E+023.50E+026.74E+021.09E+031.60E+03Wijai/aj3.253.754.254.755.255.756.250.254.75E+005.50E+006.25E+007.00E+007.75E+008.50E+009.25E+000.754.05E+014.73E+015.40E+016.08E

7、+016.75E+017.43E+018.10E+011.251.06E+021.25E+021.44E+021.63E+021.81E+022.00E+022.19E+021.751.96E+022.33E+022.70E+023.06E+023.43E+023.80E+024.17E+022.253.04E+023.65E+024.25E+024.86E+025.47E+026.08E+026.68E+022.754.24E+025.14E+026.05E+026.96E+027.87E+028.77E+029.68E+023.255.49E+026.76E+028.03E+029.30E

8、+021.06E+031.18E+031.31E+033.756.76E+028.44E+021.01E+031.18E+031.35E+031.52E+031.69E+034.258.03E+021.01E+031.23E+031.45E+031.66E+031.88E+032.10E+034.759.30E+021.18E+031.45E+031.71E+031.99E+032.26E+032.53E+035.251.06E+031.35E+031.66E+031.99E+032.32E+032.65E+032.98E+035.751.18E+031.52E+031.88E+032.26E

9、+032.65E+033.04E+033.44E+036.251.31E+031.69E+032.10E+032.53E+032.98E+033.44E+033.91E+036.751.44E+031.86E+032.31E+032.80E+033.31E+033.84E+034.38E+037.251.56E+032.03E+032.53E+033.07E+033.64E+034.23E+034.84E+037.751.69E+032.19E+032.75E+033.34E+033.97E+034.63E+035.31E+038.251.82E+032.36E+032.96E+033.61E

10、+034.30E+035.03E+035.78E+038.751.94E+032.53E+033.18E+033.88E+034.63E+035.42E+036.25E+039.252.07E+032.70E+033.40E+034.15E+034.96E+035.82E+036.72E+039.752.20E+032.87E+033.61E+034.42E+035.29E+036.22E+037.19E+03Wijai/aj6.757.257.758.258.759.259.750.251.00E+011.08E+011.15E+011.23E+011.30E+011.38E+011.45E

11、+010.758.78E+019.45E+011.01E+021.08E+021.15E+021.22E+021.28E+021.252.38E+022.56E+022.75E+022.94E+023.13E+023.31E+023.50E+021.754.53E+024.90E+025.27E+025.64E+026.00E+026.37E+026.74E+022.257.29E+027.90E+028.51E+029.11E+029.72E+021.03E+031.09E+032.751.06E+031.15E+031.24E+031.33E+031.42E+031.51E+031.60E

12、+033.251.44E+031.56E+031.69E+031.82E+031.94E+032.07E+032.20E+033.751.86E+032.03E+032.19E+032.36E+032.53E+032.70E+032.87E+034.252.31E+032.53E+032.75E+032.96E+033.18E+033.40E+033.61E+034.752.80E+033.07E+033.34E+033.61E+033.88E+034.15E+034.42E+035.253.31E+033.64E+033.97E+034.30E+034.63E+034.96E+035.29E

13、+035.753.84E+034.23E+034.63E+035.03E+035.42E+035.82E+036.22E+036.254.38E+034.84E+035.31E+035.78E+036.25E+036.72E+037.19E+036.754.92E+035.47E+036.01E+036.56E+037.11E+037.65E+038.20E+037.255.47E+036.10E+036.73E+037.36E+037.99E+038.62E+039.25E+037.756.01E+036.73E+037.45E+038.17E+038.89E+039.61E+031.03E

14、+048.256.56E+037.36E+038.17E+038.98E+039.80E+031.06E+041.14E+048.757.11E+037.99E+038.89E+039.80E+031.07E+041.16E+041.26E+049.257.65E+038.62E+039.61E+031.06E+041.16E+041.27E+041.37E+049.758.20E+039.25E+031.03E+041.14E+041.26E+041.37E+041.48E+042.2计算系数vij其中l3VijWjj 6EbIb j代入相关数据，用Excel可算得vij，如下表。Vijai

15、/aj0.250.751.251.752.252.753.250.252.60E-121.04E-111.82E-112.60E-113.39E-114.17E-114.95E-110.751.04E-117.03E-111.41E-102.11E-102.81E-103.52E-104.22E-101.251.82E-111.41E-103.26E-105.21E-107.16E-109.11E-101.11E-091.752.60E-112.11E-105.21E-108.93E-101.28E-091.66E-092.04E-092.253.39E-112.81E-107.16E-101

16、.28E-091.90E-092.53E-093.16E-092.754.17E-113.52E-109.11E-101.66E-092.53E-093.47E-094.41E-093.254.95E-114.22E-101.11E-092.04E-093.16E-094.41E-095.72E-093.755.73E-114.92E-101.30E-092.42E-093.80E-095.36E-097.04E-094.256.51E-115.63E-101.50E-092.81E-094.43E-096.30E-098.36E-094.757.29E-116.33E-101.69E-093

17、.19E-095.06E-097.25E-099.68E-095.258.07E-117.03E-101.89E-093.57E-095.70E-098.19E-091.10E-085.758.85E-117.73E-102.08E-093.96E-096.33E-099.14E-091.23E-086.259.64E-118.44E-102.28E-094.34E-096.96E-091.01E-081.36E-086.751.04E-109.14E-102.47E-094.72E-097.59E-091.10E-081.50E-087.251.12E-109.84E-102.67E-095

18、.10E-098.23E-091.20E-081.63E-087.751.20E-101.05E-092.86E-095.49E-098.86E-091.29E-081.76E-088.251.28E-101.13E-093.06E-095.87E-099.49E-091.39E-081.89E-088.751.35E-101.20E-093.26E-096.25E-091.01E-081.48E-082.02E-089.251.43E-101.27E-093.45E-096.64E-091.08E-081.58E-082.16E-089.751.51E-101.34E-093.65E-097

19、.02E-091.14E-081.67E-082.29E-08Vijai/aj3.754.254.755.255.756.256.750.255.73E-116.51E-117.29E-118.07E-118.85E-119.64E-111.04E-100.754.92E-105.63E-106.33E-107.03E-107.73E-108.44E-109.14E-101.251.30E-091.50E-091.69E-091.89E-092.08E-092.28E-092.47E-091.752.42E-092.81E-093.19E-093.57E-093.96E-094.34E-094

20、.72E-092.253.80E-094.43E-095.06E-095.70E-096.33E-096.96E-097.59E-092.755.36E-096.30E-097.25E-098.19E-099.14E-091.01E-081.10E-083.257.04E-098.36E-099.68E-091.10E-081.23E-081.36E-081.50E-083.758.79E-091.05E-081.23E-081.41E-081.58E-081.76E-081.93E-084.251.05E-081.28E-081.51E-081.73E-081.96E-082.18E-082

21、.41E-084.751.23E-081.51E-081.79E-085.251.41E-081.73E-082.07E-085.751.58E-081.96E-082.35E-086.251.76E-082.18E-082.63E-086.751.93E-082.41E-082.91E-087.252.11E-082.63E-083.20E-087.752.29E-082.86E-083.48E-088.252.46E-083.09E-083.76E-088.752.64E-083.31E-084.04E-089.252.81E-083.54E-084.32E-089.752.99E-083

22、.76E-084.61E-08Vijai/aj7.257.758.250.251.12E-101.20E-101.28E-100.759.84E-101.05E-091.13E-091.252.67E-092.86E-093.06E-091.755.10E-095.49E-095.87E-092.258.23E-098.86E-099.49E-092.751.20E-081.29E-081.39E-083.251.63E-081.76E-081.89E-083.752.11E-082.29E-082.46E-084.252.63E-082.86E-083.09E-084.753.20E-083

23、.48E-083.76E-085.253.79E-084.13E-084.48E-085.754.41E-084.82E-085.23E-086.255.05E-085.53E-086.02E-086.755.70E-086.26E-086.83E-087.256.35E-087.01E-087.67E-087.757.01E-087.76E-088.51E-088.257.67E-088.51E-089.36E-088.758.32E-089.26E-081.02E-079.258.98E-081.00E-071.11E-079.759.64E-081.08E-071.19E-072.3计算

24、系数sij当i工j时Sj 二Pj(l)二 Erij其中当i=j时S厂P(12)匚Ea ii2.07E-082.35E-082.63E-082.91E-082.41E-082.76E-083.10E-083.45E-082.76E-083.17E-083.58E-084.00E-083.10E-083.58E-084.07E-084.56E-083.45E-084.00E-084.56E-085.13E-083.79E-084.41E-085.05E-085.70E-084.13E-084.82E-085.53E-086.26E-084.48E-085.23E-086.02E-086.83E-0

25、84.82E-085.65E-086.51E-087.40E-085.17E-086.06E-087.00E-087.97E-085.51E-086.47E-087.49E-088.54E-088.759.259.751.35E-101.43E-101.51E-101.20E-091.27E-091.34E-093.26E-093.45E-093.65E-096.25E-096.64E-097.02E-091.01E-081.08E-081.14E-081.48E-081.58E-081.67E-082.02E-082.16E-082.29E-082.64E-082.81E-082.99E-0

26、83.31E-083.54E-083.76E-084.04E-084.32E-084.61E-084.82E-085.17E-085.51E-085.65E-086.06E-086.47E-086.51E-087.00E-087.49E-087.40E-087.97E-088.54E-088.32E-088.98E-089.64E-089.26E-081.00E-071.08E-071.02E-071.11E-071.19E-071.12E-071.21E-071.31E-071.21E-071.32E-071.43E-071.31E-071.43E-071.54E-07%吒-1 na bln

27、 b ,（b）2 1 l n1、（：）2 1带入 a=0.5, b=2 得 Fii=1.5422892.代入相关数据，用Excel可算得sij。sij计算结果如下表.Sijai/aj0.250.751.251.752.252.753.250.254.47E-082.90E-081.45E-089.66E-097.24E-095.79E-094.83E-090.752.90E-084.47E-082.90E-081.45E-089.66E-097.24E-095.79E-091.251.45E-082.90E-084.47E-082.90E-081.45E-089.66E-097.24E-091

28、.759.66E-091.45E-082.90E-084.47E-082.90E-081.45E-089.66E-092.257.24E-099.66E-091.45E-082.90E-084.47E-082.90E-081.45E-082.755.79E-097.24E-099.66E-091.45E-082.90E-084.47E-082.90E-083.254.83E-095.79E-097.24E-099.66E-091.45E-082.90E-084.47E-083.754.14E-094.83E-095.79E-097.24E-099.66E-091.45E-082.90E-084

29、.253.62E-094.14E-094.83E-095.79E-097.24E-099.66E-091.45E-084.753.22E-093.62E-094.14E-094.83E-095.79E-097.24E-099.66E-095.252.90E-093.22E-093.62E-094.14E-094.83E-095.79E-097.24E-095.752.63E-092.90E-093.22E-093.62E-094.14E-094.83E-095.79E-096.252.41E-092.63E-092.90E-093.22E-093.62E-094.14E-094.83E-096

30、.752.23E-092.41E-092.63E-092.90E-093.22E-093.62E-094.14E-097.252.07E-092.23E-092.41E-092.63E-092.90E-093.22E-093.62E-097.751.93E-092.07E-092.23E-092.41E-092.63E-092.90E-093.22E-098.251.81E-091.93E-092.07E-092.23E-092.41E-092.63E-092.90E-098.751.70E-091.81E-091.93E-092.07E-092.23E-092.41E-092.63E-099

31、.251.61E-091.70E-091.81E-091.93E-092.07E-092.23E-092.41E-099.751.52E-091.61E-091.70E-091.81E-091.93E-092.07E-092.23E-09Sijai/aj3.754.254.755.255.756.256.750.254.14E-093.62E-093.22E-092.90E-092.63E-092.41E-092.23E-090.754.83E-094.14E-093.62E-093.22E-092.90E-092.63E-092.41E-091.255.79E-094.83E-094.14E

32、-093.62E-093.22E-092.90E-092.63E-091.757.24E-095.79E-094.83E-094.14E-093.62E-093.22E-092.90E-092.259.66E-097.24E-095.79E-094.83E-094.14E-093.62E-093.22E-092.751.45E-089.66E-097.24E-095.79E-094.83E-094.14E-093.62E-093.252.90E-081.45E-089.66E-097.24E-095.79E-094.83E-094.14E-093.754.47E-082.90E-081.45E

33、-089.66E-097.24E-095.79E-094.83E-094.252.90E-084.47E-082.90E-081.45E-089.66E-097.24E-095.79E-094.751.45E-082.90E-084.47E-082.90E-081.45E-089.66E-097.24E-095.259.66E-091.45E-082.90E-084.47E-082.90E-081.45E-089.66E-095.757.24E-099.66E-091.45E-082.90E-084.47E-082.90E-081.45E-086.255.79E-097.24E-099.66E

34、-091.45E-082.90E-084.47E-082.90E-086.754.83E-095.79E-097.24E-099.66E-091.45E-082.90E-084.47E-087.254.14E-094.83E-095.79E-097.24E-099.66E-091.45E-082.90E-087.753.62E-094.14E-094.83E-095.79E-097.24E-099.66E-091.45E-088.253.22E-093.62E-094.14E-094.83E-095.79E-097.24E-099.66E-098.752.90E-093.22E-093.62E

35、-094.14E-094.83E-095.79E-097.24E-099.252.63E-092.90E-093.22E-093.62E-094.14E-094.83E-095.79E-099.752.41E-092.63E-092.90E-093.22E-093.62E-094.14E-094.83E-09Sijai/aj7.257.758.258.759.259.750.252.07E-091.93E-091.81E-091.70E-091.61E-091.52E-090.752.23E-092.07E-091.93E-091.81E-091.70E-091.61E-091.252.41E

36、-092.23E-092.07E-091.93E-091.81E-091.70E-091.752.63E-092.41E-092.23E-092.07E-091.93E-091.81E-092.252.90E-092.63E-092.41E-092.23E-092.07E-091.93E-092.753.22E-092.90E-092.63E-092.41E-092.23E-092.07E-093.253.62E-093.22E-092.90E-092.63E-092.41E-092.23E-093.754.14E-093.62E-093.22E-092.90E-092.63E-092.41E

37、-094.254.83E-094.14E-093.62E-093.22E-092.90E-092.63E-094.755.79E-094.83E-094.14E-093.62E-093.22E-092.90E-095.257.24E-095.79E-094.83E-094.14E-093.62E-093.22E-095.759.66E-097.24E-095.79E-094.83E-094.14E-093.62E-096.251.45E-089.66E-097.24E-095.79E-094.83E-094.14E-096.752.90E-081.45E-089.66E-097.24E-095

38、.79E-094.83E-097.254.47E-082.90E-081.45E-089.66E-097.24E-095.79E-097.752.90E-084.47E-082.90E-081.45E-089.66E-097.24E-098.251.45E-082.90E-084.47E-082.90E-081.45E-089.66E-098.759.66E-091.45E-082.90E-084.47E-082.90E-081.45E-089.257.24E-099.66E-091.45E-082.90E-084.47E-082.90E-089.755.79E-097.24E-099.66E

39、-091.45E-082.90E-084.47E-082.4计算S ijr 二 Sj - Vj用Excel计算可得到S ij。sij计算结果如下表.S ijai/aj0.250.751.251.752.252.753.250.254.47E-082.90E-081.45E-089.68E-097.28E-095.83E-094.88E-090.752.90E-084.47E-082.91E-081.47E-089.94E-097.59E-096.22E-091.251.45E-082.91E-084.50E-082.95E-081.52E-081.06E-088.35E-091.759.68E

40、-091.47E-082.95E-084.56E-083.02E-081.61E-081.17E-082.257.28E-099.94E-091.52E-083.02E-084.66E-083.15E-081.76E-082.755.83E-097.59E-091.06E-081.61E-083.15E-084.81E-083.34E-083.254.88E-096.22E-098.35E-091.17E-081.76E-083.34E-085.04E-083.754.20E-095.32E-097.10E-099.67E-091.35E-081.98E-083.60E-084.253.69E

41、-094.70E-096.33E-098.60E-091.17E-081.60E-082.28E-084.753.29E-094.25E-095.83E-098.02E-091.09E-081.45E-081.93E-085.252.98E-093.92E-095.51E-097.71E-091.05E-081.40E-081.82E-085.752.72E-093.67E-095.30E-097.58E-091.05E-081.40E-081.81E-086.252.51E-093.48E-095.18E-097.56E-091.06E-081.42E-081.85E-086.752.33E

42、-093.33E-095.11E-097.62E-091.08E-081.46E-081.91E-087.252.18E-093.21E-095.08E-097.74E-091.11E-081.52E-081.99E-087.752.05E-093.12E-095.09E-097.90E-091.15E-081.58E-082.08E-088.251.94E-093.06E-095.13E-098.10E-091.19E-081.65E-082.18E-088.751.84E-093.01E-095.19E-098.32E-091.24E-081.72E-082.29E-089.251.75E

43、-092.97E-095.26E-098.57E-091.28E-081.80E-082.40E-089.751.68E-092.95E-095.35E-098.83E-091.33E-081.88E-082.51E-08S ijai/aj3.754.254.755.255.756.256.750.254.20E-093.69E-093.29E-092.98E-092.72E-092.51E-092.33E-090.755.32E-094.70E-094.25E-093.92E-093.67E-093.48E-093.33E-091.257.10E-096.33E-095.83E-095.51

44、E-095.30E-095.18E-095.11E-091.759.67E-098.60E-098.02E-097.71E-097.58E-097.56E-097.62E-092.251.35E-081.17E-081.09E-081.05E-081.05E-081.06E-081.08E-082.751.98E-081.60E-081.45E-081.40E-081.40E-081.42E-081.46E-083.253.60E-082.28E-081.93E-081.82E-081.81E-081.85E-081.91E-083.755.35E-083.95E-082.68E-082.37

45、E-082.31E-082.34E-082.42E-084.253.95E-085.75E-084.40E-083.18E-082.92E-082.91E-082.99E-084.752.68E-084.40E-086.25E-084.96E-083.80E-083.60E-083.64E-085.252.37E-083.18E-084.96E-086.88E-085.65E-084.55E-084.41E-085.752.31E-082.92E-083.80E-085.65E-087.64E-086.48E-085.44E-086.252.34E-082.91E-083.60E-084.55

46、E-086.48E-088.54E-087.45E-086.752.42E-082.99E-083.64E-084.41E-085.44E-087.45E-089.59E-087.252.52E-083.12E-083.78E-084.51E-085.37E-086.49E-088.59E-087.752.65E-083.27E-083.96E-084.71E-085.55E-086.50E-087.71E-088.252.78E-083.45E-084.17E-084.96E-085.81E-086.75E-087.80E-088.752.93E-083.63E-084.40E-085.24E-086.13E-087.09E-088.13E-089.253.08E-083.83E-084.65E-085.53E-086.48E-087.48E-088.55E-089.753.23E-084.03E-084.90E-085.83E-086.84E-087.90E-089.03E-08S ijai/aj7.257.758.258.759.259.750.252.18E-092.05E-091.94E-091.84E-091.75E-091.68E-090.753.21E-093.12E-093.06E-093.01E-092