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

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4. SEISMIC RESPONSE OF PARTIAL-STRENGTH COMPOSITE JOINTS<br />

116<br />

• Joint panel zones <strong>of</strong>ten develop a maximum strength that is significantly<br />

greater than <strong>the</strong> strength at first yield. This additional strength has been<br />

attributed to strain hardening <strong>and</strong> to contributions <strong>of</strong> <strong>the</strong> column flanges in<br />

resisting panel zone shear forces. Large inelastic panel zone deformations<br />

are typically required in order to develop <strong>the</strong> maximum panel zone<br />

strength.<br />

• Panel zone deformations can add significantly to <strong>the</strong> overall deformation <strong>of</strong><br />

a moment resisting frame, for both elastic <strong>and</strong> inelastic ranges <strong>of</strong><br />

<strong>behaviour</strong>.<br />

• Panel zone stiffness <strong>and</strong> strength can be increased by <strong>the</strong> attachment <strong>of</strong><br />

web doubler plates to <strong>the</strong> column within <strong>the</strong> joint region. The effectiveness<br />

<strong>of</strong> doubler plates is affected by <strong>the</strong> method used to connect <strong>the</strong>m to <strong>the</strong><br />

column.<br />

• In <strong>the</strong> inelastic range, panel zones can exhibit very ductile <strong>behaviour</strong>, both<br />

for monotonic <strong>and</strong> cyclic loading. Experimentally observed hysteresis loops<br />

are typically very stable, even at large inelastic deformations.<br />

Current US building code provisions (AISC, 1997; FEMA 350, 2000) permit <strong>the</strong><br />

formation <strong>of</strong> plastic hinges in <strong>the</strong> panel zones <strong>of</strong> steel moment frames under<br />

earthquake loading. Thus, ra<strong>the</strong>r than forming plastic flexural hinges only in <strong>the</strong><br />

beams or columns, a primary source <strong>of</strong> energy dissipation in a steel moment frame<br />

can be <strong>the</strong> formation <strong>of</strong> plastic shear hinges in <strong>the</strong> panel zones. Consequently, an<br />

accurate analytical model is needed to predict <strong>the</strong> response <strong>of</strong> <strong>the</strong> panel zone in<br />

order to predict accurately <strong>the</strong> response <strong>of</strong> a steel moment frame under earthquake<br />

loading,. The traditional center-to-center line representation <strong>of</strong> <strong>the</strong> frame must be<br />

modified to include panel zone deformation in frame analysis.<br />

Several researchers, including Krawinkler et al. (1971) <strong>and</strong> Wang (1988) proposed<br />

relationships between panel zone shear force V <strong>and</strong> panel zone deformation γ for<br />

monotonic loading. These relationships have been used as <strong>the</strong> basis <strong>of</strong><br />

ma<strong>the</strong>matical models for non-linear rotational springs representing <strong>the</strong> panel zone.<br />

Krawinkler’s V–γ relations have been adopted in several building codes (ICBO,<br />

1997; AISC, 1997) as a basis for computing <strong>the</strong> shear strength <strong>of</strong> panel zones.<br />

However, it was pointed out by Krawinkler that a new model might be needed for<br />

joints with thick column flanges since his V–γ relations were derived from<br />

experimental <strong>and</strong> analytical results for panel zones with relatively thin column<br />

flanges. Wang also showed that Krawinkler’s V–γ relations may overestimate panel<br />

zone shear strength for panel zones with thick column flanges.<br />

The ma<strong>the</strong>matical model for strength <strong>and</strong> stiffness calculations is shown in Figure<br />

4.12. It consists <strong>of</strong> an elastic-perfect plastic shear panel surrounded by rigid

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