Uncertainties: As Built Piers

Uncertainties in Capacity (β_c)

Pier Type	β_c-L.S.1	β_c-L.S.2	β_c-L.S.3	β_c-L.S.4	β_c-mean
Cylindrical	0.14	0.36	0.48	0.49	0.37
Hollow Cylindrical	0.10	0.15	0.48	0.55	0.32
Rectangular (strong direction)	0.14	0.20	0.40	0.48	0.31
Rectangular (weak direction)	0.14	0.32	0.42	0.48	0.34
Hollow Rectangular (strong direction)	0.22	0.32	0.40	0.41	0.34
Hollow Rectangular (weak direction)	0.22	0.36	0.42	0.43	0.36
Wall (strong direction)	0.16	0.29	0.43	0.48	0.34
Wall (weak direction)	0.23	0.33	0.40	0.50	0.41

Reference

Stefanidou, S. P., & Kappos, A. J. (2017). Methodology for the development of bridge-specific fragility curves. Earthquake Engineering & Structural Dynamics, 46, 73–93. https://doi.org/10.1002/eqe.2774

Uncertainties in Limit State definition (β_LS)

Uncertainty in Limit State definition considering different EDPs (engineering demand parameters)

EDP	β_LS,1	β_LS,2	β_LS,3	β_LS,4
Drift (%)	0.28	0.34	0.10	0.00
μ_δ	0.40	0.34	0.41	0.24
μ_θ	0.22	0.24	0.15	0.42
μ_φ	0.60	0.53	0.60	0.50
β_{LS mean}	0.43	0.43	0.36	0.20

Reference

Uncertainty in Limit State definition for all different pier types, considering drift (%) as EDP

Pier Type	β_LS,1	β_LS,2	β_LS,3	β_LS,4	β_LS,mean*
Cylindrical	0.19	0.43	0.12	0.28	0.25
Hollow Cylindrical	0.00	0.24	0.35	-	0.20
Rectangular	0.36	0.52	0.32	0.34	0.39
Hollow Rectangular	0.33	0.51	0.39	-	0.41

* Values based on statistical analysis of the limit state definitions in literature, available in the database.

Reference

Stefanidou, S., Paraskevopoulos E., Papanikolaou, V., Kappos, A. (2021). An online database and software for bridge-specific fragility analysis of as-built and retrofitted bridges. Bulletin of Earthquake Engineering.

Uncertainties in Capacity (βc)

Uncertainties in Limit State definition (βLS)

Uncertainties in Capacity (β_c)

Uncertainties in Limit State definition (β_LS)