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Analysis and modelling of the seismic behaviour of high ... - Ingegneria

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2. DUCTILITY AND SEISMIC RESPONSE OF STRUCTURES<br />

<strong>the</strong>re are three very significant points: <strong>the</strong> limit <strong>of</strong> elastic <strong>behaviour</strong> without any<br />

damage, <strong>the</strong> limit <strong>of</strong> damage with major damage <strong>and</strong>, finally, <strong>the</strong> limit <strong>of</strong> collapse,<br />

for which <strong>the</strong> structure is at <strong>the</strong> threshold <strong>of</strong> breakdown. By taking different limit<br />

states for <strong>the</strong> structure <strong>and</strong> for non-structural elements, some multi-level<br />

approaches are possible.<br />

18<br />

Figure 2.4. Performance levels<br />

A verification at three performance levels has been proposed by different<br />

researchers (Gioncu <strong>and</strong> Mazzolani, 2002):<br />

1. Serviceability limit state (SLS) for frequent earthquakes; <strong>the</strong> corresponding<br />

design earthquake is called a service earthquake. This limit state imposes<br />

that <strong>the</strong> structure, toge<strong>the</strong>r with non-structural elements, should suffer<br />

minimum damage <strong>and</strong> <strong>the</strong> discomfort for inhabitants should be reduced to<br />

a minimum. Therefore, <strong>the</strong> structure must remain within <strong>the</strong> elastic range<br />

or it can suffer unimportant plastic deformations;<br />

2. Damageability limit state (DLS) for occasional earthquakes: this limit state<br />

considers an earthquake intensity which produces damage in non-<br />

structural elements <strong>and</strong> moderate damage in a structure, which can be<br />

repaired without great technical difficulties;

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