Research Article

Approximation of the Monte Carlo Sampling Method for Reliability Analysis of Structures

Table 1

Calculation of Monte Carlo method.

LSF

10.96711.8399219.34120.4574106.1226113.2186
20.93741.5332212.01360.4076104.5165107.4971
30.3290−0.4428170.33590.216298.260772.0752
40.1541−1.0188159.80690.139195.301564.5053
50.85731.0684201.37450.240699.1079102.2666
60.2448−0.6908165.72000.079292.364973.3551
70.80950.8759197.12740.005183.7760113.3514
80.4357−0.1618175.72110.7801119.550456.1707
90.52980.0748180.38840.142695.449184.9393
100.98472.1627227.32600.8356123.3391103.9869
110.55550.1396181.68650.2853100.601081.0855
120.2554−0.6576166.33060.6398112.679953.6507
130.93171.4887210.97160.7672118.787992.1837
140.69300.5044189.17860.8658125.913563.2651
150.4681−0.0802177.31740.056090.866386.4511
160.64430.3699186.38170.3524102.757083.6247
170.4761−0.0600177.71500.8802127.338250.3768
180.95531.6988215.93890.6482113.0289102.9100
190.96121.7648217.52360.050790.4690127.0547
200.2731−0.6036167.32880.4965107.419859.9090
210.1432−1.0660158.97450.6972115.179443.7951
220.0403−1.7475147.41490.6381112.613834.8011
230.64750.3786186.56160.252399.504587.0570
240.97822.0174223.69600.7979120.6637103.0322
250.0612−1.5447150.76320.9179131.996318.7669