Under DevelopmentPlease cite this work as:Stefanidou, S., Paraskevopoulos, E., Papanikolaou, V., Kappos, A.J. "An online platform for bridge-specific fragility analysis of as-built and retrofitted bridges", Bulletin of Earthquake Engineering, 20, 1717-1737 (2022). https://doi.org/10.1007/s10518-021-01299-3

The Bridge Database - ESPA

Closed form relationships: Rectangular Piers

Parameters	Values
ρ_l	0.005	0.01	0.02	0.03
ρ_w	0.005	0.010	0.015
b (m)	0.6	0.8	1	1.5
h/b	1	1.25	1.5	2
f_c (MPa)	16	20	25	35
f_y (MPa)	220	400	500
v	0.15	0.25	0.35
Combinations Number: 6912

Closed-form relationships M-phi (strong direction)

φ_y Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
φ_y	-5.57	0.158	-0.138	-0.726	0.519	0.143

Please fill in the following parameters and press "Calculate".

φ_y :

φ_u Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
φ_u	-1.448	-0.032	-0.195	-0.077	0.043	0.374

Please fill in the following parameters and press "Calculate".

φ_u :

M_y Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
M_y	-0.737	0.033	0.482	-0.341	0.31	0.041

Please fill in the following parameters and press "Calculate".

M_y :

M_u Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
M_u	-0.737	-0.005	0.53	-312	0.29	0.017

Please fill in the following parameters and press "Calculate".

M_u :

Closed-form relationships M-phi (weak direction)

φ_y Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
φ_y	-5.53	-0.015	-0.095	-0.687	-0.518	0.114

Please fill in the following parameters and press "Calculate".

φ_y :

φ_u Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
φ_u	-2.371	-0.744	0.074	-0.023	0.034	0.02

Please fill in the following parameters and press "Calculate".

φ_u :

M_y Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
M_y	-0.747	-0.0032	0.489	-0.335	0.312	0.031

Please fill in the following parameters and press "Calculate".

M_y :

M_u Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
M_u	-0.744	-0.012	0.538	-0.308	0.29	0.01

Please fill in the following parameters and press "Calculate".

M_u :

Closed-form relationships d/h (strong direction)

d₁/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₁/H	-5.695	-0.595	0.014	-0.076	-0.549	0.08	0.417

Please fill in the following parameters and press "Calculate".

d₁/H :

d₁ :

d₂/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₂/H	-5520	-0.736	1.315	-0.2	-0.12	0.018	0.094

Please fill in the following parameters and press "Calculate".

d₂/H :

d₂ :

d₃/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₃/H	-0.643	-0.673	1.165	-0.21	-0.262	0.975	0.022

Please fill in the following parameters and press "Calculate".

d₃/H :

d₃ :

d₄/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₄/H	-2.861	-0.611	0.426	-0.146	-0.114	0.249	0.069

Please fill in the following parameters and press "Calculate".

d₄/H :

d₄ :

Closed-form relationships d/h (weak direction)

d₁/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₁/H	-5.29	-0.386	1.35	-0.106	-0.526	0.101	0.379

Please fill in the following parameters and press "Calculate".

d₁/H :

d₁ :

d₂/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₂/H	-5.35	-0.718	1.073	-0.085	-0.089	0.021	0.049

Please fill in the following parameters and press "Calculate".

d₂/H :

d₂ :

d₃/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₃/H	-1.531	-0.639	0.867	-0.284	-0.109	0.772	-0.025

Please fill in the following parameters and press "Calculate".

d₃/H :

d₃ :

d₄/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆
d₄/H	-2.518	-0.63	0.845	-0.252	-0.106	0.386	0.053

Please fill in the following parameters and press "Calculate".

d₄/H :

d₄ :