Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC

<table>Shear coefficient <svg height="14.425" id="M63" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 16.775 14.425" width="16.775" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.425)">
<g transform="translate(72,-60.46)">
<text transform="matrix(1,0,0,-1,-71.95,63.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.56,60.58)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑣</tspan>
</text>
</g>
</g>
</svg> for <svg height="16.237499" id="M64" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 15.8375 16.237499" width="15.8375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.2375)">
<g transform="translate(72,-59.01)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐹</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.22,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑦</tspan>
</text>
</g>
</g>
</svg> = 50 ksi and <svg height="14.8875" id="M65" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 53.674999 14.8875" width="53.674999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.8875)">
<g transform="translate(72,-60.09)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.17,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑣</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.77,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405136" y="0">0</tspan>
</text>
</g>
</g>
</svg> (it corresponds to Figure<svg height="0.125" id="M66" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 5.3375001 0.125" width="5.3375001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,0.125)">
<g transform="translate(72,-71.9)"></g>
</g>
</svg>C-G2.1 in the design manual of AISC-LRFD).</table>

Advances in Civil Engineering

fig2

Figure 2

Figure 2: Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC 