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

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5. SEISMIC BEHAVIOUR OF RC COLUMNS EMBEDDING STEEL PROFILES<br />

5.7.4 Concrete compression field mechanism verification<br />

In <strong>the</strong> numerical model <strong>the</strong> stirrups in <strong>the</strong> column are not directly modelled; <strong>the</strong><br />

confinement effect is taken into account by a modification <strong>of</strong> <strong>the</strong> effective concrete<br />

stress-strain relationship. Never<strong>the</strong>less, <strong>the</strong> activation <strong>of</strong> <strong>the</strong> concrete compression<br />

filed is verified by means <strong>of</strong> <strong>the</strong> strain gauges positioned in <strong>the</strong> stirrups. As<br />

evidenced in Figure 5.44, with <strong>the</strong> increase <strong>of</strong> <strong>the</strong> imposed top displacement <strong>the</strong><br />

stirrups were mobilised to transfer <strong>the</strong> shear forces into <strong>the</strong> joint. At elevated<br />

displacements 8ey÷10ey, <strong>the</strong> transversal re-bars are subjected to <strong>high</strong> tensile<br />

stresses that should equilibrate <strong>the</strong> compression struts in <strong>the</strong> outer concrete part <strong>of</strong><br />

<strong>the</strong> joint. The equilibrium <strong>of</strong> forces results satisfied by <strong>the</strong> tension <strong>and</strong> compression<br />

stresses in <strong>the</strong> longitudinal re-bars, which transfer <strong>the</strong> relative component <strong>of</strong> <strong>the</strong><br />

compression strut into <strong>the</strong> column. The evolution <strong>of</strong> <strong>the</strong> tensile <strong>and</strong> compression<br />

stress in <strong>the</strong> column is reported in Figure 5.45, <strong>and</strong> was obtained through <strong>the</strong><br />

elaboration <strong>of</strong> <strong>the</strong> numerical results. It is also possible to underline that, at elevated<br />

imposed top displacements, <strong>the</strong> deformations <strong>of</strong> <strong>the</strong> longitudinal re-bars in <strong>the</strong><br />

panel zone increase due to <strong>the</strong> tensile <strong>and</strong> to <strong>the</strong> compressive forces transmitted<br />

by <strong>the</strong> concrete.<br />

SG-20<br />

SG-19<br />

SG-18<br />

SG-17<br />

SG-16<br />

SG-15<br />

500<br />

400<br />

300<br />

200<br />

100<br />

0<br />

-0,0005 0,0005 0,0015 0,0025 0,0035<br />

Figure 5.44. Evolution <strong>of</strong> <strong>the</strong> measured strain in <strong>the</strong> stirrups <strong>of</strong> <strong>the</strong> column<br />

ey / 4<br />

ey / 2<br />

3/4 ey<br />

ey<br />

2ey<br />

4ey<br />

6ey<br />

8ey<br />

Elastic range<br />

The Bond Resistance Vjoint,bf is provided by <strong>the</strong> longitudinal reinforcing bars acting<br />

in friction with concrete <strong>and</strong> embedded in <strong>the</strong> outer joint region. The bond failure<br />

occurs in <strong>the</strong> outer elements if <strong>the</strong> compression <strong>and</strong> tension forces (due to moment<br />

equilibrium), along with <strong>the</strong> forces mobilised in <strong>the</strong> concrete compression field, are<br />

greater than <strong>the</strong> strength <strong>of</strong> <strong>the</strong> bond mechanism <strong>of</strong> a set <strong>of</strong> main longitudinal re-<br />

237

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