Research Article
Approximation of the Monte Carlo Sampling Method for Reliability Analysis of Structures
Table 1
Calculation of Monte Carlo method.
| | | | | | | LSF |
| 1 | 0.9671 | 1.8399 | 219.3412 | 0.4574 | 106.1226 | 113.2186 | 2 | 0.9374 | 1.5332 | 212.0136 | 0.4076 | 104.5165 | 107.4971 | 3 | 0.3290 | −0.4428 | 170.3359 | 0.2162 | 98.2607 | 72.0752 | 4 | 0.1541 | −1.0188 | 159.8069 | 0.1391 | 95.3015 | 64.5053 | 5 | 0.8573 | 1.0684 | 201.3745 | 0.2406 | 99.1079 | 102.2666 | 6 | 0.2448 | −0.6908 | 165.7200 | 0.0792 | 92.3649 | 73.3551 | 7 | 0.8095 | 0.8759 | 197.1274 | 0.0051 | 83.7760 | 113.3514 | 8 | 0.4357 | −0.1618 | 175.7211 | 0.7801 | 119.5504 | 56.1707 | 9 | 0.5298 | 0.0748 | 180.3884 | 0.1426 | 95.4491 | 84.9393 | 10 | 0.9847 | 2.1627 | 227.3260 | 0.8356 | 123.3391 | 103.9869 | 11 | 0.5555 | 0.1396 | 181.6865 | 0.2853 | 100.6010 | 81.0855 | 12 | 0.2554 | −0.6576 | 166.3306 | 0.6398 | 112.6799 | 53.6507 | 13 | 0.9317 | 1.4887 | 210.9716 | 0.7672 | 118.7879 | 92.1837 | 14 | 0.6930 | 0.5044 | 189.1786 | 0.8658 | 125.9135 | 63.2651 | 15 | 0.4681 | −0.0802 | 177.3174 | 0.0560 | 90.8663 | 86.4511 | 16 | 0.6443 | 0.3699 | 186.3817 | 0.3524 | 102.7570 | 83.6247 | 17 | 0.4761 | −0.0600 | 177.7150 | 0.8802 | 127.3382 | 50.3768 | 18 | 0.9553 | 1.6988 | 215.9389 | 0.6482 | 113.0289 | 102.9100 | 19 | 0.9612 | 1.7648 | 217.5236 | 0.0507 | 90.4690 | 127.0547 | 20 | 0.2731 | −0.6036 | 167.3288 | 0.4965 | 107.4198 | 59.9090 | 21 | 0.1432 | −1.0660 | 158.9745 | 0.6972 | 115.1794 | 43.7951 | 22 | 0.0403 | −1.7475 | 147.4149 | 0.6381 | 112.6138 | 34.8011 | 23 | 0.6475 | 0.3786 | 186.5616 | 0.2523 | 99.5045 | 87.0570 | 24 | 0.9782 | 2.0174 | 223.6960 | 0.7979 | 120.6637 | 103.0322 | 25 | 0.0612 | −1.5447 | 150.7632 | 0.9179 | 131.9963 | 18.7669 |
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