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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 />

where σSd, col is <strong>the</strong> average normal stress in <strong>the</strong> panel zone. In <strong>the</strong> current Draft <strong>of</strong><br />

Eurocode 3 (2001), <strong>the</strong> influence <strong>of</strong> <strong>the</strong> normal stress σ due <strong>the</strong> column axial force<br />

is approximately accounted for by means <strong>of</strong> a reduction coefficient equal to 0,9. In<br />

particular, <strong>the</strong> codified value <strong>of</strong> <strong>the</strong> reduction factor is on <strong>the</strong> safe side up to a<br />

column axial load equal to 45% <strong>of</strong> <strong>the</strong> column squash load.<br />

After yielding, <strong>the</strong> rotational stiffness <strong>of</strong> <strong>the</strong> web panel zone can be attributed to <strong>the</strong><br />

bending <strong>of</strong> <strong>the</strong> column flanges. It is computed as:<br />

118<br />

K<br />

pl,1<br />

24 EIfc<br />

= ( 4.16 )<br />

5 t z<br />

fc eq<br />

where Ifc is <strong>the</strong> inertia moment <strong>of</strong> <strong>the</strong> column flanges:<br />

We obtain:<br />

3<br />

c fc<br />

b t<br />

I fc = ( 4.17 )<br />

12<br />

2<br />

,1 1.04 tcf<br />

pl el c<br />

k = ⋅G ⋅ b ⋅ ( 4.18 )<br />

z<br />

eq<br />

If it is assumed that <strong>the</strong> post-elastic stiffness <strong>of</strong> <strong>the</strong> joint Kpl,1 is valid for a range<br />

∆γ = 3γy, <strong>the</strong> strength Vpl,1 <strong>of</strong> <strong>the</strong> joints at an angle <strong>of</strong> distortion equal to 4γy is <strong>the</strong>n<br />

given:<br />

V = k ⋅ + k ⋅ ( 4.19 )<br />

,1 ,1 3<br />

pl el γ y pl γ y<br />

At an angle <strong>of</strong> distortion equal to 4γy it is possible to assume that strain hardening<br />

in <strong>the</strong> web panel in shear begins. The strain hardening branch stiffness Kpl,2 is<br />

suggested as follows:<br />

kpl,2 = Gsh ⋅( hc − tcf ) ⋅ tcw<br />

( 4.20 )<br />

where Gsh is <strong>the</strong> strain hardening shear modulus that can be assumed equal to Gsh<br />

= 1/100 Gel.<br />

The column web panel must withst<strong>and</strong> <strong>the</strong> shear stresses acting when <strong>the</strong> global<br />

frame mechanism arises, that is, it must support that. In accordance with Eurocode

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