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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 />

CJ connection with 18 mm thickness with <strong>the</strong> same crack length. The results are<br />

<strong>the</strong>n compared. The maximum CTOD required along <strong>the</strong> end plate width close to<br />

<strong>the</strong> weld toe predicted both by 2D <strong>and</strong> 3D analyses is depicted in Figure 3.43. The<br />

3D analysis reveals a significant gradient across <strong>the</strong> width <strong>of</strong> <strong>the</strong> flange with a peak<br />

value in correspondence with <strong>the</strong> web. The CTOD ratio between 3D <strong>and</strong> 2D FE<br />

models is around 16 per cent.<br />

CTOD (mm)<br />

0.50<br />

0.45<br />

0.40<br />

0.35<br />

0.30<br />

0.25<br />

0.20<br />

0.15<br />

0.10<br />

0.05<br />

0.00<br />

2D Simulation<br />

3D Simulation<br />

0 20 40 60 80 100 120 140 160 180<br />

FLANGE WIDTH (mm)<br />

Figure 3.43. 2D versus 3D CTOD distribution at <strong>the</strong> weld toe for a crack<br />

depth <strong>of</strong> 2.34 mm<br />

Yield-to-ultimate stress ratio effects<br />

The plastic hinge region in a steel structure decreases as <strong>the</strong> yield-to-ultimate<br />

strength ratio σy/σu increases. In fact, a smaller yielded region imposes greater<br />

inelastic strain dem<strong>and</strong>s to achieve a specified plastic deformation. Since <strong>the</strong><br />

production <strong>of</strong> American structural steel has resulted in steel with much <strong>high</strong>er ratios<br />

(Frank, 1997), recently published specifications from AISC (1997) recognized this<br />

effect <strong>and</strong> limited <strong>the</strong> yield-to-ultimate strength ratio to 0.85. A similar limitation is<br />

required by Eurocode 3 (2001), when plastic analysis has to be performed.<br />

In order to study <strong>the</strong> yield-to-ultimate strength ratio effect on <strong>the</strong> joint configuration<br />

with 12 mm <strong>and</strong> 18 mm thickness, two strength ratios for <strong>the</strong> end plate material<br />

have been considered. More specifically, for <strong>the</strong> TM-2 specimen, σy/σu has been<br />

chosen to be 0.45 <strong>and</strong> 0.90 whilst <strong>the</strong> corresponding specimens are designated<br />

ITS2-45 <strong>and</strong> ITS2-90, respectively. However, two crack lengths equal to 1.30 mm<br />

<strong>and</strong> 2.86 mm have been considered for <strong>the</strong> specimen ITS2-45 <strong>and</strong> ITS2-90,<br />

respectively, to take account <strong>of</strong> <strong>the</strong> increase <strong>of</strong> crack-initiation threshold with <strong>the</strong><br />

reduction <strong>of</strong> a strain hardening amount (Barsom <strong>and</strong> Rolfe, 1987). The reaction<br />

force vs. <strong>the</strong> controlled displacement <strong>of</strong> <strong>the</strong> TM-2 model is shown in Figure 3.44a,<br />

91

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