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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 />

F = f ⋅t ⋅ b<br />

( 4.5 )<br />

Rd1 cd slab c<br />

where fcd is <strong>the</strong> strength <strong>of</strong> <strong>the</strong> concrete in compression, tslab is <strong>the</strong> thickness <strong>of</strong> <strong>the</strong><br />

concrete slab <strong>and</strong> bc is <strong>the</strong> column width. FRd1 is a ra<strong>the</strong>r concentrated force, which<br />

is spread through <strong>the</strong> width <strong>of</strong> <strong>the</strong> slab <strong>and</strong> induces a transverse tension force Ft1,<br />

which requires transverse anti bursting reinforcements. The spreading <strong>of</strong> this force<br />

approximately takes place on a distance equal to <strong>the</strong> half effective width beff <strong>of</strong> <strong>the</strong><br />

slab <strong>and</strong> generates a transverse tension force Ft1, which can be computed explicitly<br />

if beff is defined. Under <strong>seismic</strong> action l0 =0.7 is a reasonable estimate for <strong>the</strong><br />

length l0 <strong>of</strong> <strong>the</strong> beam between two points <strong>of</strong> moment reversal. Then according to<br />

Eurocode 4 we obtain:<br />

b = 2 ⋅ b = 2 ⋅ (0.7 )/ 8 = 0.175<br />

( 4.6 )<br />

eff e<br />

The section <strong>of</strong> <strong>the</strong> steel needed for Ft1 should be realized with several re-bars<br />

spread in a zone width equal to 0.6beff, starting at a distance hc <strong>of</strong> <strong>the</strong> column<br />

flange, as illustrated in Figure 4.10. Normally, <strong>the</strong> amount <strong>of</strong> <strong>the</strong> required re-bars is<br />

low <strong>and</strong> effectively already covered by <strong>the</strong> reinforcements needed for <strong>the</strong> gravity<br />

<strong>and</strong> live load resistance.<br />

Figure 4.10. The spreading <strong>of</strong> FRd1 <strong>and</strong> re-<br />

bars As1 required by mechanism 1<br />

113

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