PSI - Issue 44

6

Diego Gino et al. / Procedia Structural Integrity 44 (2023) 1435–1442 Diego Gino et al./ Structural Integrity Procedia 00 (2022) 000 – 000

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Figures 5, 6 and 7 show the seismic reliability curves for the RC pier and for the deck responses. In Figures 6 and 7, r is the in plane radius of the FPS device expressed in meters.

Fig. 4. Average annual rates of exceedance of the IM S D (T d ) – hazard curves . (L’Aquila site).

b)

b)

a) a)

a)

LS1

LS1 LS1

LS1

LS1

b)

λ=0.10 λ=0.15 λ=0.20

λ= .10 λ=0.15 λ= .20 λ=0.10 λ=0.15 λ=0.20

a)

λ=0.10 λ=0.15 λ=0.20

b)

λ=0.10 λ=0.15 λ= .20 λ=0.10 λ=0.15 λ=0.20

LS1

LS1

LS1

λ=0.10 λ=0.15 λ=0.20

λ=0.10 λ=0.15 λ=0.20

LS2

LS2

LS2

LS2 LS2

LS2

LS2

LS2

LS3

LS3

LS3

LS3

LS3

LS3 LS3

LS3

P f [-] (50 years) P f [-] (50 years)

P f [-] (50 years) P f [-] (50 years)

P f [-] (50 years) P f [-] (50 years)

P f [-] (50 years) P f [-] (50 years)

T p =0.20s T p =0.10s T p =0.15s T p =0.05s

T p =0.20s T p =0.10s T p =0.15s T p =0.05s T p =0.2 s T p =0.1 s T p =0.15s T p =0.05s

T p = .20s T p = .10s T p =0.15s T p =0.05s T p =0.20s T p =0.10s T p =0.15s T p =0.05s

T p =0.20s T p =0.10s T p =0.15s T p = .05s T p =0.20s T p =0.10s T p =0.15s T p =0.05s

T p =0.20s T p =0.10s T p =0.15s T p =0.05s

PDI [-]

PDI [-] I [-]

PDI [-] I [-]

PDI [-] PDI [-]

PDI [-]

c)

c)

d)

LS1 S1

d)

d)

c)

λ=0.10 λ=0.15 λ=0.20

LS1

d)

λ=0.10 λ=0.15 λ=0.20

λ=0.10 λ=0.15 λ=0.20 λ=0.10 λ=0.15 λ=0.20

λ=0.10 λ=0.15 λ=0.20

LS1

LS1

λ=0.1 λ=0.15 λ=0.2

λ= .10 λ=0.15 λ= .20 λ=0. λ= . λ=0.

LS1

LS1 S1

LS2

LS2

LS2

LS2

LS2

LS2

LS2

LS3

LS3

LS3

LS3

LS3

LS3

LS3 LS3

P -] a s)

P f [-] (50 years)

P f [-] (50 years) P f [-] (50 years)

P f [-] (50 years) P f [-] (50 years)

T p =0.20s T p =0.10s T p =0.15s T p =0. 5s

P f [-] (50 years) P f [-] (5 ye rs)

T p =0.20s T p =0.10s T p =0.15s T p =0.05s T p =0.20s p = .1 s T p =0.15s T p =0.0 s

T p =0.20s T p =0.10s T p =0.15s T p =0.05s p =0.

T p =0.20s T p =0.10s T p =0.15s T p =0.05s T p =0.10s p . T p = .

T p =0.20s T p =0.10s T p =0.15s T p =0.05s T p =0.20s T p =0.10s T p =0.15s T p =0.05s

PDI [-]

PDI [-] PD

PDI [-] I [-]

PDI [-]

PDI [-] DI [-]

Fig. 5. Representation of the seismic reliability curves associated to the pier for T d =1s (a), T d =2s (b), T d =3s (c), T d =4s.

b)

b)

a)

a)

λ=0.10 λ=0.15 λ=0.20 T p =0.20s T p =0.10s T p =0.15s T p =0.05s

λ=0.10 λ=0.15 λ=0.20 T p =0.20s T p =0.10s T p =0.15s T p =0. 5s

λ=0.10 λ=0.15 λ=0.20 T p =0.20s T p =0.10s T p =0.15s T p =0.05s

λ=0.10 λ=0.15 λ=0.20 T p =0.20s T p =0.10s T p =0.15s T p =0. 5s

P f [-] (50 years)

P f [-] (50 years)

P f [-] (50 years)

P f [-] (50 years)

r [m]

r [m]

r [m]

r [m]

Fig. 6. Representation of the seismic reliability curves associated to the deck response referred to the pier for T d =1s (a), T d =4s (b).