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

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3. SEISMIC BEHAVIOUR OF BOLTED END PLATE BEAM-TO-COLUMN STEEL JOINTS<br />

Both <strong>the</strong> 2D <strong>and</strong> 3D FE analyses account for material non-linearities through<br />

classical plasticity based on <strong>the</strong> Von Mises yield criterion. Isotropic hardening is<br />

assumed for <strong>the</strong> analyses. The measured stress-strain properties <strong>of</strong> <strong>the</strong> different<br />

materials (column flange, column web, end plate, beam flange, beam web <strong>and</strong><br />

bolts) obtained by tensile test were used. Elastic <strong>and</strong> inelastic convergence studies<br />

have been conducted to evaluate <strong>and</strong> arrive at <strong>the</strong> final mesh for <strong>the</strong> finite element<br />

models. The finite element model was verified by comparing <strong>the</strong> measured<br />

monotonic <strong>and</strong> cyclic response <strong>of</strong> specimens with <strong>the</strong> predicted monotonic<br />

response (see Figure 3.35). As far as it concerns <strong>the</strong> cyclic test, <strong>the</strong> envelope<br />

curve <strong>of</strong> <strong>the</strong> experimental tests was found <strong>and</strong> compared to <strong>the</strong> curve found using<br />

<strong>the</strong> finite element model. Experimental data <strong>and</strong> numerical prediction are in a very<br />

good agreement. The specimen yield strength is well captured as expected;<br />

moreover <strong>the</strong> numerical simulation captures very well <strong>the</strong> hardening branch <strong>of</strong> <strong>the</strong><br />

experimental response, both in term <strong>of</strong> strength <strong>and</strong> stiffness; this indicates a<br />

satisfactory <strong>behaviour</strong> <strong>of</strong> <strong>the</strong> numerical models. It is important to underline that <strong>the</strong><br />

3D numerical model seems to be more efficient by comparison with <strong>the</strong><br />

experimental data. This means that <strong>the</strong> model is able to capture <strong>the</strong> 3D effects in<br />

terms <strong>of</strong> stress <strong>and</strong> strain distribution that have a significant effect on <strong>the</strong> global<br />

response <strong>of</strong> <strong>the</strong> joint.<br />

REACTION FORCE (kN)<br />

175<br />

150<br />

125<br />

100<br />

75<br />

50<br />

25<br />

0<br />

Experemintal<br />

Numerical 2D model<br />

0 25 50 75 100 125 150 175 200<br />

DISPLACEMENT (mm)<br />

REACTION FORCE (kN)<br />

175<br />

150<br />

125<br />

100<br />

75<br />

50<br />

25<br />

0<br />

Experemintal<br />

Numerical 3D model<br />

0 25 50 75 100 125 150 175 200<br />

DISPLACEMENT (mm)<br />

Figure 3.35. Experimental <strong>and</strong> predicted force vs. displacement <strong>of</strong> JB1-3 specimen<br />

Moreover, <strong>the</strong> deformed configuration <strong>and</strong> <strong>the</strong> shear stress distribution in <strong>the</strong> steel<br />

joint can be estimated, for instance, through <strong>the</strong> plot <strong>of</strong> Figure 3.36. The 3D model<br />

allows <strong>the</strong> distribution <strong>of</strong> shear stresses in <strong>the</strong> panel zone to be appraised. As a<br />

result, <strong>high</strong> von Mises stresses approach values in a large zone <strong>of</strong> <strong>the</strong> web panel.<br />

83

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