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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 />

are that panel zones are designed to be <strong>the</strong> weakest element <strong>of</strong> <strong>the</strong> node <strong>and</strong><br />

inelastic deformations are expected to occur in panel zones.<br />

The ductility <strong>of</strong> members is ano<strong>the</strong>r reason for dispute between <strong>the</strong> code provisions<br />

<strong>and</strong> researchers, concerning <strong>the</strong> use <strong>of</strong> ductility determined at <strong>the</strong> level <strong>of</strong> cross-<br />

section (as in Eurocode 3, 2000) or <strong>the</strong> necessity to use <strong>the</strong> ductility <strong>of</strong> members<br />

as proposed by Gioncu <strong>and</strong> Mazzolani (2002). Code provisions are particularly<br />

qualitative <strong>and</strong> <strong>the</strong>refore this procedure is inadequate for a methodology in which<br />

<strong>the</strong> available ductility is compared with <strong>the</strong> required one. The basic requirement for<br />

plastic analysis is that large rotations (<strong>the</strong>oretical infinite) be possible without<br />

significant changes in <strong>the</strong> resistant moment. But <strong>the</strong>se <strong>the</strong>oretical large plastic<br />

rotations may not be achieved because some secondary effects occur. Flexural-<br />

torsional instability, local buckling or brittle fracture <strong>of</strong> members usually imposes<br />

<strong>the</strong> limitation to plastic rotation. A proper available ductility must be determined<br />

taking into account that <strong>the</strong> members <strong>and</strong> joints belong to a structure with a<br />

complex <strong>behaviour</strong>. But this is a very difficult task owing to <strong>the</strong> great number <strong>of</strong><br />

factors influencing <strong>the</strong> <strong>behaviour</strong> <strong>of</strong> actual members <strong>and</strong> joints. The problem <strong>of</strong><br />

evaluating <strong>the</strong> rotation capacity has recently been <strong>of</strong> primary interest, as witnessed<br />

by <strong>the</strong> numerous published papers, presenting different methods which can be<br />

classified as <strong>the</strong>oretical methods, based on <strong>the</strong> use <strong>of</strong> FEM, or integrating <strong>the</strong><br />

moment-curvature relationship; approximate methods, based on <strong>the</strong> use <strong>of</strong> <strong>the</strong><br />

collapse plastic mechanism; <strong>and</strong> empirical methods, based on statistical analysis<br />

<strong>of</strong> experimental tests.<br />

Joint ductility depends on <strong>the</strong> importance <strong>of</strong> all component <strong>behaviour</strong>s. For welded<br />

joints ductility is given by <strong>the</strong> plastic shear deformation, by crushing <strong>of</strong> web <strong>of</strong> joint<br />

panel or weld fracture, while for bolted joints ductility results from plastic<br />

deformations up to fracture <strong>of</strong> <strong>the</strong> column flanges, connection elements, i.e. end<br />

plates, or by fracture <strong>of</strong> bolts or welds as summarized in Figure 2.13.<br />

Recent great <strong>seismic</strong> events have shown that <strong>the</strong> concentration <strong>of</strong> inelastic<br />

phenomena into joints leads to a brittle fracture <strong>of</strong> welds. Therefore, in <strong>the</strong> last<br />

period great efforts were devoted to <strong>the</strong> definition <strong>of</strong> adequate different detailing <strong>of</strong><br />

joints able to provide a more satisfactory <strong>behaviour</strong>. New types <strong>of</strong> joint have been<br />

proposed, based on <strong>the</strong> idea <strong>of</strong> moving <strong>the</strong> plastic hinge away from <strong>the</strong> column-<br />

beam interface, in <strong>the</strong> field where <strong>the</strong> welding or bolts do not govern <strong>the</strong> node<br />

<strong>behaviour</strong>. This solution can be obtained by weakening <strong>the</strong> specific beam near to<br />

<strong>the</strong> connection by trimming <strong>the</strong> beam flanges, i.e. <strong>the</strong> dog–bone solution proposed<br />

by Plumier (1994) or by streng<strong>the</strong>ning <strong>the</strong> specific beam near to <strong>the</strong> connection by<br />

adding vertical ribs or cover plates. The weakening <strong>of</strong> <strong>the</strong> beam <strong>of</strong>fers <strong>the</strong><br />

possibility <strong>of</strong> reducing <strong>the</strong> dimensions <strong>of</strong> columns, while streng<strong>the</strong>ning requires an<br />

increase <strong>of</strong> <strong>the</strong>se dimensions, showing <strong>the</strong> superiority <strong>of</strong> <strong>the</strong> dog–bone solution.<br />

35

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