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

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Samples number</td><td class="align_center">Exceedance probability</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"> 25</td><td class="align_center">0</td></tr><tr><td class="align_left">1000</td><td class="align_center">0.026</td></tr><tr><td class="align_left">5000</td><td class="align_center">0.0306</td></tr><tr><td class="align_left">10000</td><td class="align_center">0.0327</td></tr><tr><td class="align_left">20000</td><td class="align_center">0.03465</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The results of Monte Carlo sampling method.

Mathematical Problems in Engineering

tab7

Table 7

Table 7: Approximation of the Monte Carlo Sampling Method for Reliability Analysis of Structures 