Determination of Slope Safety Factor with Analytical Solution and Searching Critical Slip Surface with Genetic-Traversal Random Method

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td align="left">Selected individuals</td><td align="center"> </td><td align="center"><span style="width: 19.0375px;"><svg height="15.4" id="M44" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 19.0375 15.4" width="19.0375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center"><span style="width: 23.875px;"><svg height="15.4" id="M45" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 23.875 15.4" width="23.875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,13.525,15.187)"><path d="M383 397q0 -32 -35 -49q-12 -6 -23 8q-37 45 -84 45t-90 -71q-40 -65 -40 -167q0 -57 22 -86t59 -29q38 0 81.5 24.5t69.5 51.5l16 -21q-44 -53 -104 -84t-109 -31q-56 0 -89.5 41t-33.5 117q0 61 30 124t79 105q33 28 81 50.5t86 22.5q34 0 59 -15.5t25 -35.5z" id="x1D450"></path></g><g transform="matrix(.012,-0,0,-.012,18.356,15.187)"><path d="M383 397q0 -32 -35 -49q-12 -6 -23 8q-37 45 -84 45t-90 -71q-40 -65 -40 -167q0 -57 22 -86t59 -29q38 0 81.5 24.5t69.5 51.5l16 -21q-44 -53 -104 -84t-109 -31q-56 0 -89.5 41t-33.5 117q0 61 30 124t79 105q33 28 81 50.5t86 22.5q34 0 59 -15.5t25 -35.5z" id="x1D450"></path></g>
</svg></span></td><td align="center">Safety factor</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td align="left"> </td><td align="center">*</td><td align="center">51</td><td align="center">0</td><td align="center">1.3317465878</td></tr><tr><td align="left"> </td><td align="center"> </td><td align="center">60</td><td align="center">−10</td><td align="center">1.4074551938</td></tr><tr><td align="left"> </td><td align="center"> </td><td align="center">60</td><td align="center">25</td><td align="center">1.886105777</td></tr><tr><td align="left"> </td><td align="center"> </td><td align="center">100</td><td align="center">−20</td><td align="center">2.2757670756</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The Scientific World Journal

tab2

Table 2

Table 2: Determination of Slope Safety Factor with Analytical Solution and Searching Critical Slip Surface with Genetic-Traversal Random Method 