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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 />

For Mechanism 2, assuming an inclination θ = 45° <strong>of</strong> <strong>the</strong> concrete struts, we have<br />

that <strong>the</strong> resistance <strong>of</strong> a compressed concrete strut, Fccs is equal to:<br />

114<br />

h<br />

F 0.6<br />

c<br />

ccs = νfcd<br />

⋅tslab ⋅ bs ≅ ⋅fcd ⋅tslab ⋅ ( 4.7 )<br />

2<br />

The resistance <strong>of</strong> <strong>the</strong> mechanism 2 results <strong>the</strong> sum <strong>of</strong> <strong>the</strong> component <strong>of</strong> two<br />

compressed struts in <strong>the</strong> direction <strong>of</strong> <strong>the</strong> force transferring in <strong>the</strong> column.<br />

F<br />

F 2 2 ccs<br />

Rd = ⋅ = 0.6 ⋅fcd ⋅ tslab ⋅ hc<br />

( 4.8 )<br />

2<br />

As Mechanism 2 is not intended to be <strong>the</strong> dissipative mechanism, an overstrength<br />

factor must be introduced; we must also taken into account <strong>the</strong> fact that <strong>the</strong><br />

concrete resistance νfcd usually considered in Eurocode 2 for compressed struts is<br />

a safe side value. With an overstrength factor <strong>of</strong> 1.2 we obtain <strong>the</strong> formula<br />

contained in <strong>the</strong> current version <strong>of</strong> <strong>the</strong> Eurocode 8 (2002):<br />

F = ⋅f ⋅t ⋅ h<br />

( 4.9 )<br />

Rd2 0.7 cd slab c<br />

Because Ft2 is equal for geometry to <strong>the</strong> resistance FRd2/2, <strong>the</strong> section As2 <strong>of</strong> <strong>the</strong><br />

steel re-bars into <strong>the</strong> main beam should comply with:<br />

A<br />

S2<br />

F<br />

≥<br />

2 ⋅ f<br />

Rd2<br />

yd, T<br />

( 4.10 )<br />

These re-bars should be spread in a zone width equal to <strong>the</strong> dimension <strong>of</strong> <strong>the</strong><br />

column flange as illustrated in Figure 4.11.<br />

Figure 4.11. Re-bars As2 required by mechanism 2

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