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Materiali e Approcci Innovativi per il Progetto in Zona Sismica e la Mitigazione <strong>del</strong>la Vulnerabilità <strong>del</strong>le Strutture<br />

CONFINAMENTO DEL CALCESTRUZZO<br />

• Mo<strong>del</strong>lo <strong>di</strong> Mander-Priestley-Park (1988) fcc<br />

/ fc<br />

σ<br />

ε<br />

c<br />

cc<br />

fcc<br />

x r<br />

=<br />

r −1+<br />

x<br />

r<br />

ε<br />

x =<br />

ε<br />

[ 1+<br />

5( f f 1)<br />

]<br />

= 0.002<br />

−<br />

cc<br />

c<br />

c<br />

cc<br />

r =<br />

E<br />

sec<br />

E<br />

c<br />

f<br />

=<br />

ε<br />

Ec<br />

− E<br />

cc<br />

cc<br />

sec<br />

f<br />

l2<br />

/ f<br />

c<br />

f<br />

l1<br />

/ f<br />

c<br />

f cc<br />

• Mo<strong>del</strong>lo <strong>di</strong> Shams-Saadeghvaziri (1999) – mo<strong>del</strong>lo analitico <strong>di</strong> genesi numerica (analisi FEM)<br />

f<br />

σ<br />

cc<br />

=<br />

f<br />

c<br />

+ A f<br />

c<br />

⎡<br />

⎢1<br />

+<br />

⎢⎣<br />

⎛<br />

⎜<br />

⎝<br />

a + bx + cx<br />

D t<br />

B<br />

α<br />

⎞<br />

⎟<br />

⎠<br />

+ dx<br />

⎤<br />

⎥<br />

⎥⎦<br />

−1<br />

+ ex<br />

2 3 4 5<br />

= f c cc<br />

2 3 4 5<br />

1+<br />

gx + hx + ix + jx + kx<br />

+<br />

A<br />

− 24.477<br />

= 1.335<br />

e<br />

f c B = 47 .492 + 206. 85 fc<br />

fx<br />

ε<br />

x =<br />

ε<br />

c<br />

cc<br />

ε<br />

cc<br />

= ε<br />

c0<br />

⎡ ⎛ D t ⎞<br />

⎢1<br />

+ 3.51⎜<br />

⎟<br />

⎢⎣<br />

⎝ 60 ⎠<br />

−α<br />

⎤<br />

⎥<br />

⎥⎦<br />

α = 4<br />

a, b, c, d, e, f, g, h, i, j, k<br />

<strong>da</strong> analisi <strong>di</strong> regressione<br />

• Mo<strong>del</strong>lo <strong>di</strong> Susantha-Ge-Usami (2001) – mo<strong>del</strong>lo analitico <strong>di</strong> genesi teorica (SHS-RHS)<br />

1.46<br />

0.85<br />

4.0<br />

*<br />

1. 03<br />

f<br />

cc<br />

= fc<br />

+ f<br />

f<br />

rp<br />

* c<br />

6.5<br />

0. 12<br />

b 12 ( 1− ν<br />

2<br />

) f<br />

y<br />

f<br />

rp<br />

= − R + fc<br />

R =<br />

≤ 0.85<br />

f<br />

y<br />

t 4π2<br />

Es<br />

ramo crescente<br />

ramo <strong>di</strong>scendente<br />

fcc<br />

x r<br />

σc<br />

=<br />

r<br />

σ<br />

c<br />

= fcc<br />

− Z ( εc<br />

− εcc<br />

)<br />

Z = 23400 R ( f c<br />

f<br />

y<br />

) − 91.26 ≥ 0<br />

r −1+<br />

x<br />

L. Mastrandrea, V. Piluso: “Mo<strong>del</strong>lazione <strong>del</strong> Comportamento Ultimo <strong>di</strong> Pile <strong>da</strong> Ponte <strong>del</strong> tipo CFT”<br />

4/9

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