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计算力学课程设计计算力学课程设计 题目一设深梁承受均布载荷,如图(a)所示。假定,泊松比,不计容重,厚度,为平面应力问题。因对称取半边结构计算,结构支承、单元划分、节点编号如图(b)所示。试画出及截面的竖向位移图,截面的应力分布图。网格划分:将结构的半边分为36个单元28个节点。如下图图(b)计算:利用有限元程序计算位移矩阵及应力矩阵,输入数据如下1391,144,15,16,7,01,0.17,0,18,2,12,8,99,3,23,9,1010,4,34,10,1111,5,45,11,1212,6,56,12,1313,7,67,13,1415,9,89,15,1616,10,910,16,1717,11,1011,17,1818,12,1112,18,1919,13,1213,19,2020,14,1314,20,2122,16,1516,22,2323,17,1617,23,2424,18,1718,24,2525,19,1819,25,2626,20,1920,26,2727,21,2021,27,2829,23,2223,29,3030,24,2324,30,3131,25,2425,31,3232,26,2526,32,3333,27,2627,33,3434,28,2728,34,3536,30,2930,36,3737,31,3031,37,3838,32,3132,38,3939,33,3233,39,4040,34,3334,40,4141,35,3435,41,4243,37,3637,43,4444,38,3738,44,4545,39,3839,45,4646,40,3940,46,4747,41,4041,47,4848,42,4142,48,4950,44,4344,50,5151,45,4445,51,5252,46,4546,52,5353,47,4647,53,5454,48,4748,54,5555,49,4849,55,5657,51,5051,57,5858,52,5152,58,5959,53,5253,59,6060,54,5354,60,6161,55,5455,61,6262,56,5556,62,6364,58,5758,64,6565,59,5859,65,6666,60,5960,66,6767,61,6061,67,6868,62,6162,68,6969,63,6263,69,7071,65,6465,71,7272,66,6566,72,7373,67,6667,73,7474,68,6768,74,7575,69,6869,75,7676,70,6970,76,7778,72,7172,78,7979,73,7273,79,8080,74,7374,80,8181,75,7475,81,8282,76,7576,82,8383,77,7677,83,8485,79,7879,85,8686,80,7980,86,8787,81,8081,87,8888,82,8182,88,8989,83,8283,89,9090,84,8384,90,910.0,6.00.5,6.01.0,6.01.5,6.02.0,6.02.5,6.03.0,6.00.0,5.50.5,5.51.0,5.51.5,5.52.0,5.52.5,5.53.0,5.50.0,5.00.5,5.01.0,5.01.5,5.02.0,5.02.5,5.03.0,5.00.0,4.50.5,4.51.0,4.51.5,4.52.0,4.52.5,4.53.0,4.50.0,4.00.5,4.01.0,4.01.5,4.02.0,4.02.5,4.03.0,4.00.0,3.50.5,3.51.0,3.51.5,3.52.0,3.52.5,3.53.0,3.50.0,3.00.5,3.01.0,3.01.5,3.02.0,3.02.5,3.03.0,3.00.0,2.50.5,2.51.0,2.51.5,2.52.0,2.52.5,2.53.0,2.50.0,2.00.5,2.01.0,2.01.5,2.02.0,2.02.5,2.03.0,2.00.0,1.50.5,1.51.0,1.51.5,1.52.0,1.52.5,1.53.0,1.50.0,1.00.5,1.01.0,1.01.5,1.02.0,1.02.5,1.03.0,1.00.0,0.50.5,0.51.0,0.51.5,0.52.0,0.52.5,0.53.0,0.50.0,0.00.5,0.01.0,0.01.5,0.02.0,0.02.5,0.03.0,0.013,27,41,55,69,83,97,111,125,139,153,167,169,170,1810,0.-25,2.-50,4.-50,6.-50,8.-50,10.-50,12.-25,14.输出结果为: NO X Y 1 0.00 6.00 2 0.50 6.00 3 1.00 6.00 4 1.50 6.00 5 2.00 6.00 6 2.50 6.00 7 3.00 6.00 8 0.00 5.50 9 0.50 5.50 10 1.00 5.50 11 1.50 5.50 12 2.00 5.50 13 2.50 5.50 14 3.00 5.50 15 0.00 5.00 16 0.50 5.00 17 1.00 5.00 18 1.50 5.00 19 2.00 5.00 20 2.50 5.00 21 3.00 5.00 22 0.00 4.50 23 0.50 4.50 24 1.00 4.50 25 1.50 4.50 26 2.00 4.50 27 2.50 4.50 28 3.00 4.50 29 0.00 4.00 30 0.50 4.00 31 1.00 4.00 32 1.50 4.00 33 2.00 4.00 34 2.50 4.00 35 3.00 4.00 36 0.00 3.50 37 0.50 3.50 38 1.00 3.50 39 1.50 3.50 40 2.00 3.50 41 2.50 3.50 42 3.00 3.50 43 0.00 3.00 44 0.50 3.00 45 1.00 3.00 46 1.50 3.00 47 2.00 3.00 48 2.50 3.00 49 3.00 3.00 50 0.00 2.50 51 0.50 2.50 52 1.00 2.50 53 1.50 2.50 54 2.00 2.50 55 2.50 2.50 56 3.00 2.50 57 0.00 2.00 58 0.50 2.00 59 1.00 2.00 60 1.50 2.00 61 2.00 2.00 62 2.50 2.00 63 3.00 2.00 64 0.00 1.50 65 0.50 1.50 66 1.00 1.50 67 1.50 1.50 68 2.00 1.50 69 2.50 1.50 70 3.00 1.50 71 0.00 1.00 72 0.50 1.00 73 1.00 1.00 74 1.50 1.00 75 2.00 1.00 76 2.50 1.00 77 3.00 1.00 78 0.00 0.50 79 0.50 0.50 80 1.00 0.50 81 1.50 0.50 82 2.00 0.50 83 2.50 0.50 84 3.00 0.50 85 0.00 0.00 86 0.50 0.00 87 1.00 0.00 88 1.50 0.00 89 2.00 0.00 90 2.50 0.00 91 3.00 0.00 JD= U= V= 1 -37.198 -1462.196 2 -28.631 -1458.671 3 -20.132 -1456.730 4 -12.756 -1456.639 5 -7.109 -1457.659 6 -3.097 -1458.712 7 0.000 -1458.963 8 -33.863 -1412.263 9 -25.595 -1408.424 10 -17.899 -1406.677 11 -11.441 -1407.015 12 -6.487 -1408.479 13 -2.858 -1409.831 14 0.000 -1410.125 15 -29.006 -1362.291 16 -20.664 -1357.524 17 -13.212 -1356.097 18 -7.444 -1357.329 19 -3.572 -1359.773 20 -1.310 -1361.860 21 0.000 -1362.438 22 -21.625 -1311.153 23 -12.995 -1305.226 24 -5.709 -1304.665 25 -0.854 -1307.725 26 1.336 -1312.107 27 1.316 -1315.635 28 0.000 -1316.766 29 -11.222 -1257.385 30 -2.100 -1250.606 31 4.939 -1252.070 32 8.441 -1258.459 33 8.210 -1266.172 34 4.971 -1272.113 35 0.000 -1274.173 36 2.358 -1199.004 37 12.259 -1192.409 38 18.890 -1197.948 39 20.445 -1209.922 40 16.943 -1222.872 41 9.556 -1232.484 42 0.000 -1235.971 43 18.852 -1133.161 44 29.947 -1128.947 45 35.897 -1141.923 46 34.709 -1162.739 47 27.017 -1183.395 48 14.722 -1198.176 49 0.000 -1203.684 50 37.249 -1055.637 51 50.132 -1058.026 52 54.852 -1083.809 53 49.799 -1117.978 54 37.041 -1149.275 55 19.606 -1170.729 56 0.000 -1178.828 57 55.178 -960.008 58 70.680 -976.991 59 72.934 -1024.065 60 62.375 -1077.502 61 44.068 -1122.365 62 22.517 -1151.459 63 0.000 -1162.394 64 67.766 -836.087 65 86.969 -883.108 66 83.876 -964.856 67 65.614 -1044.460 68 42.819 -1104.517 69 20.735 -1140.730 70 0.000 -1153.996 71 65.644 -666.630 72 89.240 -775.093 73 73.758 -912.413 74 47.001 -1023.328 75 25.757 -1096.267 76 10.966 -1136.870 77 0.000 -1150.892 78 34.263 -418.482 79 52.522 -660.287 80 9.671 -881.418 81 -10.324 -1015.525 82 -13.958 -1094.152 83 -9.014 -1135.412 84 0.000 -1147.739 85 0.000 0.000 86 -158.098 -613.651 87 -150.531 -869.814 88 -114.887 -1009.322 89 -75.726 -1089.254 90 -37.516 -1130.386 91 0.000 -1138.142 E= 1 SX= 0.162 SY= -99.838 TAU= 0.162 S1= 0.162 S2= -99.838 CET= 0.092 E= 2 SX= -0.564 SY= -100.589 TAU= 0.686 S1= -0.560 S2= -100.594 CET= 0.393 E= 3 SX= -0.088 SY= -100.508 TAU= -0.936 S1= -0.079 S2= -100.517 CET= 179.466 E= 4 SX= -1.674 SY= -100.391 TAU= -0.415 S1= -1.672 S2= -100.393 CET= 179.760 E= 5 SX= -2.334 SY= -100.503 TAU= -1.831 S1= -2.300 S2= -100.537 CET= 178.932 E= 6 SX= -4.073 SY= -99.940 TAU= -1.414 S1= -4.052 S2= -99.961 CET= 179.155 E= 7 SX= -5.743 SY= -100.224 TAU= -1.996 S1= -5.701 S2= -100.266 CET= 178.790 E= 8 SX= -7.016 SY= -99.553 TAU= -1.782 S1= -6.981 S2= -99.587 CET= 178.897 E= 9 SX= -8.957 SY= -99.883 TAU= -1.432 S1= -8.935 S2= -99.906 CET= 179.098 E= 10 SX= -9.641 SY= -99.401 TAU= -1.360 S1= -9.620 S2= -99.421 CET= 179.132 E= 11 SX= -10.736 SY= -99.587 TAU= -0.419 S1= -10.734 S2= -99.589 CET= 179.731 E= 12 SX= -11.213 SY= -99.581 TAU= -0.251 S1= -11.212 S2= -99.582 CET= 179.837 E= 13 SX= -0.468 SY= -100.023 TAU= -0.871 S1= -0.461 S2= -100.031 CET= 179.499 E= 14 SX= -0.640 SY= -101.910 TAU= -0.141 S1= -0.640 S2= -101.910 CET= 179.919 E= 15 SX= -1.971 SY= -102.136 TAU= -2.721 S1= -1.897 S2= -102.210 CET= 178.445 E= 16 SX= -2.362 SY= -101.560 TAU= -2.786 S1= -2.283 S2= -101.639 CET= 178.392 E= 17 SX= -4.408 SY= -101.908 TAU= -4.296 S1= -4.219 S2= -102.097 CET= 177.482 E= 18 SX= -5.516 SY= -100.310 TAU= -4.470 S1= -5.306 S2= -100.520 CET= 177.306 E= 19 SX= -7.193 SY= -100.594 TAU= -4.667 S1= -6.960 S2= -100.827 CET= 177.147 E= 20 SX= -9.080 SY= -98.955 TAU= -4.579 S1= -8.847 S2= -99.188 CET= 177.091 E= 21 SX= -9.580 SY= -99.040 TAU= -3.647 S1= -9.431 S2= -99.189 CET= 177.670 E= 22 SX= -12.137 SY= -98.007 TAU= -3.106 S1= -12.025 S2= -98.119 CET= 177.931 E= 23 SX= -10.910 SY= -97.798 TAU= -1.574 S1= -10.881 S2= -97.826 CET= 178.962 E= 24 SX= -13.998 SY= -97.755 TAU= -0.494 S1= -13.995 S2= -97.758 CET= 179.662 E= 25 SX= -0.724 SY= -102.400 TAU= -2.234 S1= -0.675 S2= -102.449 CET= 178.742 E= 26 SX= -0.538 SY= -104.688 TAU= -1.489 S1= -0.517 S2= -104.709 CET= 179.181 E= 27 SX= -2.963 SY= -105.100 TAU= -5.335 S1= -2.686 S2= -105.378 CET= 177.018 E= 28 SX= -3.001 SY= -103.375 TAU= -5.934 S1= -2.651 S2= -103.724 CET= 176.629 E= 29 SX= -6.127 SY= -103.906 TAU= -7.466 S1= -5.560 S2= -104.473 CET= 175.659 E= 30 SX= -7.370 SY= -100.461 TAU= -8.247 S1= -6.645 S2= -101.186 CET= 174.976 E= 31 SX= -9.394 SY= -100.805 TAU= -7.720 S1= -8.747 S2= -101.453 CET= 175.206 E= 32 SX= -12.177 SY= -97.402 TAU= -7.941 S1= -11.443 S2= -98.135 CET= 174.722 E= 33 SX= -12.030 SY= -97.376 TAU= -5.979 S1= -11.613 S2= -97.793 CET= 176.012 E= 34 SX= -16.227 SY= -95.208 TAU= -5.259 S1= -15.878 S2= -95.557 CET= 176.207 E= 35 SX= -13.486 SY= -94.743 TAU= -2.738 S1= -13.394 S2= -94.835 CET= 178.072 E= 36 SX= -18.700 SY= -94.522 TAU= -0.967 S1= -18.688 S2= -94.534 CET= 179.269 E= 37 SX= -1.052 SY= -107.713 TAU= -3.825 S1= -0.915 S2= -107.850 CET= 177.949 E= 38 SX= -0.335 SY= -109.297 TAU= -3.518 S1= -0.222 S2= -109.411 CET= 178.153 E= 39 SX= -4.117 SY= -109.940 TAU= -8.833 S1= -3.385 S2= -110.672 CET= 175.261 E= 40 SX= -3.918 SY= -105.855 TAU= -10.352 S1= -2.877 S2= -106.896 CET= 174.259 E= 41 SX= -8.417 SY= -106.620 TAU= -11.716 S1= -7.038 S2= -107.999 CET= 173.290 E= 42 SX= -10.037 SY= -100.238 TAU= -13.405 S1= -8.087 S2= -102.188 CET= 171.723 E= 43 SX= -12.737 SY= -100.697 TAU= -11.690 S1= -11.210 S2= -102.224 CET= 172.557 E= 44 SX= -16.557 SY= -94.685 TAU= -12.468 S1= -14.616 S2= -96.626 CET= 171.150 E= 45 SX= -16.125 SY= -94.611 TAU= -8.890 S1= -15.131 S2= -95.605 CET= 173.618 E= 46 SX= -21.909 SY= -90.767 TAU= -8.202 S1= -20.946 S2= -91.731 CET= 173.300 E= 47 SX= -17.947 SY= -90.094 TAU= -4.091 S1= -17.716 S2= -90.325 CET= 176.765 E= 48 SX= -25.151 SY= -89.462 TAU= -1.760 S1= -25.102 S2= -89.511 CET= 178.433 E= 49 SX= -1.652 SY= -117.044 TAU= -5.813 S1= -1.360 S2= -117.336 CET= 177.123 E= 50 SX= 0.015 SY= -116.391 TAU= -6.636 S1= 0.392 S2= -116.768 CET= 176.748 E= 51 SX= -5.880 SY= -117.393 TAU= -13.525 S1= -4.263 S2= -119.010 CET= 173.183 E= 52 SX= -5.292 SY= -109.145 TAU= -16.659 S1= -2.685 S2= -111.751 CET= 171.107 E= 53 SX= -11.737 SY= -110.240 TAU= -17.385 S1= -8.759 S2= -113.219 CET= 170.279 E= 54 SX= -13.793 SY= -99.420 TAU= -20.494 S1= -9.141 S2= -104.073 CET= 167.210 E= 55 SX= -17.468 SY= -100.045 TAU= -16.852 S1= -14.162 S2= -103.352 CET= 168.898 E= 56 SX= -22.372 SY= -90.404 TAU= -18.532 S1= -17.652 S2= -95.125 CET= 165.709 E= 57 SX= -21.832 SY= -90.312 TAU= -12.541 S1= -19.607 S2= -92.537 CET= 169.942 E= 58 SX= -29.088 SY= -84.202 TAU= -12.135 S1= -26.534 S2= -86.756 CET= 168.117 E= 59 SX= -24.113 SY= -83.357 TAU= -5.679 S1= -23.573 S2= -83.896 CET= 174.573 E= 60 SX= -33.057 SY= -82.024 TAU= -2.980 S1= -32.876 S2= -82.204 CET= 176.530 E= 61 SX= -2.662 SY= -132.139 TAU= -8.460 S1= -2.112 S2= -132.690 CET= 176.277 E= 62 SX= 0.630 SY= -126.817 TAU= -11.516 S1= 1.663 S2= -127.849 CET= 174.878 E= 63 SX= -8.562 SY= -128.380 TAU= -19.851 S1= -5.359 S2= -131.583 CET= 170.833 E= 64 SX= -7.359 SY= -113.300 TAU= -25.627 S1= -1.486 S2= -119.173 CET= 167.091 E= 65 SX= -16.414 SY= -114.839 TAU= -24.770 S1= -10.532 S2= -120.721 CET= 166.641 E= 66 SX= -18.968 SY= -97.591 TAU= -29.982 S1= -8.839 S2= -107.719 CET= 161.334 E= 67 SX= -23.731 SY= -98.400 TAU= -23.260 S1= -17.079 S2= -105.053 CET= 164.038 E= 68 SX= -29.663 SY= -83.996 TAU= -26.265 S1= -19.042 S2= -94.617 CET= 157.983 E= 69 SX= -29.034 SY= -83.889 TAU= -16.826 S1= -24.284 S2= -88.639 CET= 164.236 E= 70 SX= -37.334 SY= -74.964 TAU= -17.048 S1= -30.759 S2= -81.539 CET= 158.911 E= 71 SX= -31.694 SY= -74.006 TAU= -7.395 S1= -30.438 S2= -75.261 CET= 170.367 E= 72 SX= -41.624 SY= -71.649 TAU= -4.708 S1= -40.903 S2= -72.370 CET= 171.293 E= 73 SX= -4.293 SY= -155.777 TAU= -12.122 S1= -3.329 S2= -156.741 CET= 175.453 E= 74 SX= 1.703 SY= -141.552 TAU= -19.295 S1= 4.257 S2= -144.106 CET= 172.462 E= 75 SX= -12.575 SY= -143.979 TAU= -28.344 S1= -6.722 S2= -149.833 CET= 168.332 E= 76 SX= -10.628 SY= -118.036 TAU= -38.237 S1= 1.593 S2= -130.258 CET= 162.275 E= 77 SX= -22.796 SY= -120.105 TAU= -33.991 S1= -12.098 S2= -130.802 CET= 162.531 E= 78 SX= -26.078 SY= -93.955 TAU= -42.102 S1= -5.939 S2= -114.094 CET= 154.436 E= 79 SX= -31.513 SY= -94.879 TAU= -30.552 S1= -19.181 S2= -107.210 CET= 158.020 E= 80 SX= -38.221 SY= -74.738 TAU= -35.317 S1= -16.722 S2= -96.237 CET= 148.669 E= 81 SX= -37.268 SY= -74.576 TAU= -21.200 S1= -27.683 S2= -84.161 CET= 155.672 E= 82 SX= -45.516 SY= -62.630 TAU= -22.512 S1= -29.990 S2= -78.156 CET= 145.406 E= 83 SX= -39.930 SY= -61.680 TAU= -8.883 S1= -36.763 S2= -64.847 CET= 160.379 E= 84 SX= -49.083 SY= -58.058 TAU= -6.922 S1= -45.321 S2= -61.819 CET= 151.479 E= 85 SX= -6.947 SY= -192.439 TAU= -17.366 S1= -5.335 S2= -194.050 CET= 174.697 E= 86 SX= 3.554 SY= -161.465 TAU= -32.077 S1= 9.570 S2= -167.481 CET= 169.378 E= 87 SX= -18.653 SY= -165.240 TAU= -39.598 S1= -8.640 S2= -175.253 CE

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