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

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center">Number of samples</td><td class="align_center">Failure probability</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">100</td><td class="align_center">0</td></tr><tr><td class="align_left">2</td><td class="align_center">1000</td><td class="align_center">0.006</td></tr><tr><td class="align_left">3</td><td class="align_center">5000</td><td class="align_center">0.0054</td></tr><tr><td class="align_left">4</td><td class="align_center">10000</td><td class="align_center">0.0053</td></tr><tr><td class="align_left">5</td><td class="align_center">15000</td><td class="align_center">0.00493</td></tr><tr><td class="align_left">6</td><td class="align_center">20000</td><td class="align_center">0.00455</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Results of Monte Carlo method using different numbers of samples.

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Approximation of the Monte Carlo Sampling Method for Reliability Analysis of Structures 