Comparison of Two Mechanics-Based Methods for Simplified Structural Analysis in Vulnerability Assessment

<table>Capacity curve illustrating elastic perfectly-plastic
structural behaviour and the displacement capacity at different
limit states (<svg height="14.725" id="M7" style="vertical-align:-3.25792pt" version="1.1" viewbox="0 0 27.875 14.725" width="27.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.725)">
<g transform="translate(72,-60.22)">
<text transform="matrix(1,0,0,-1,-71.95,63.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.92,60.4)">
<tspan style="font-size: 8.75px; " x="0" y="0">L</tspan>
<tspan style="font-size: 8.75px; " x="5.3649759" y="0">S</tspan>
<tspan style="font-size: 8.75px; " x="10.231088" y="0">i</tspan>
</text>
</g>
</g>
</svg>), the collapse multiplier
(<svg height="10.8125" id="M8" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 8.5749998 10.8125" width="8.5749998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.8125)">
<g transform="translate(72,-63.35)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜆</tspan>
</text>
</g>
</g>
</svg>), and secant stiffness (<i>K<sub>i</sub></i>). </table>

Advances in Civil Engineering

fig1

Figure 1

Figure 1: Comparison of Two Mechanics-Based Methods for Simplified Structural Analysis in Vulnerability Assessment 