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: Hollow Rectangular Piers

Parameters	Values
ρ_l	0.005	0.01	0.020	0.030
ρ_w	0.0025	0.005	0.01
h (m)	5	6	7	7.5
h/b	1.5	2	2.5
h/t	8	10	15
f_c (MPa)	16	25	35
f_y (MPa)	400	500
v	0.15	0.25	0.35
Combinations Number: 7776

Closed-form relationships M-phi (strong direction)

φ_y Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
φ_y	-5.186	0.072	-0.153	-0.163	-0.374	0.24

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

φ_y :

φ_u Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
φ_u	1.515	-0.058	-0.75	-0.528	-0.224	-0.105

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

φ_u :

M_y Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
M_y	0.015	-0.131	-0.016	0.194	-0.615	0.573

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

M_y :

M_u Calculation

	β₀	β₁	β₂	β₃	β₄	β₅
M_u	-0.012	-0.121	-0.015	0.174	-0.653	0.601

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	β₇
d₁/H	-7.606	0.912	0.957	-0.175	-0.203	-0.502	0.17	0.051

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

d₁/H :

d₁ :

d₂/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆	β₇
d₂/H	-5.952	0.809	0.857	-0.076	-0.02	-0.133	0.045	0.012

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

d₂/H :

d₂ :

d₃/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆	β₇
d₃/H	-4.483	0.774	0.459	0.313	-0.094	-0.028	-0.164	0.572

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

d₃/H :

d₃ :

d₄/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆	β₇
d₄/H	-4.415	0.796	0.264	-0.091	-0.004	-0.083	0.069	0.002

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	β₇
d₁/H	5.515	0.714	-0.629	-0.104	-0.181	-0.359	0.232	0.066

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

d₁/H :

d₁ :

d₂/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆	β₇
d₂/H	-5.422	0.751	-0.364	-0.02	-0.075	-0.008	-0.015	0.028

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

d₂/H :

d₂ :

d₃/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆	β₇
d₃/H	-3.401	0.728	-0.648	-0.156	-0.314	0.071	-0.333	0.633

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

d₃/H :

d₃ :

d₄/H Calculation

	β₀	β₁	β₂	β₃	β₄	β₅	β₆	β₇
d₄/H	-1.732	0.721	-0.285	-0.573	-0.413	-0.25	-0.034	0.644

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

d₄/H :

d₄ :