Probabilistic seismic risk assessment (PSRA) of a structure is essential to identify the seismic vulnerability of structural members associated with the different stages of damage. Seismic fragility evaluation is a widely accepted approach to develop seismic vulnerability information for the structures. The present paper is concerned with the seismic response and fragility evaluation of a water storage structure. Seismic analysis has been carried out considering the hydrodynamic effects of the contained water. For seismic fragility evaluation, the various parameters that could affect the seismic structural response have been identified as material strength of concrete, structural damping available within the structure, and the normalized ground motion response spectral shape. Based on this limited case study, the seismic fragility of the structure is developed as families of conditional probability curves plotted as a function of peak ground acceleration at the location of interest. The paper presents the method adopted for the seismic fragility evaluation that incorporates the various randomness and uncertainty associated with the parameters under consideration. Typical results of fragility have been presented for different stresses, i.e., corresponding to the different modes of failure. The results of the fragility study show that the seismic structural response at the location of interest is quite sensitive to the randomness and uncertainty associated with the variable parameters considered in the present study. These results will be useful for PSRA studies.

1.
DEQ
1987,
Design Basis Earthquakes for Maharashtra
, Department of Earthquake Engineering,
University of Roorkee
, Roorkee, India.
2.
Bhargava
,
K.
,
Ghosh
,
A. K.
, and
Ramanujam
,
S.
, 2003, “
Seismic Response Analysis of a Water Storage Structure
,”
Structural Engineering Convention, SEC 2003, Kharagpur, India
, pp.
511
521
.
3.
Housner
,
G. W.
, and
Haroun
,
M. A.
, 1981, “
Seismic Design of Liquid Storage Tanks
,”
Journal of Technical Council of ASCE
,
107
, pp.
197
207
.
4.
Veletsos
,
A. S.
, and
Shivakumar
,
P.
, 1990, “
Hydrodynamic Effects in Tanks With Different Conditions of Support
,”
Third DOE Natural Phenomena Hazards Mitigation Conference
,
St. Louis
, pp.
446
455
.
5.
Bandyopadhyay
,
K.
,
Cornell
,
A.
,
Costantino
,
C.
,
Kennedy
,
R.
,
Miller
,
C.
, and
Veletsos
,
A.
, 1995, “
Seismic Design and Evaluation Guidelines for the Department of Energy High-Level Waste Storage Tanks and Appurtenances
,”
Brookhaven National Laboratory
Report 52361, Upton, NY.
6.
Babu Subhash
,
S.
, and
Bhattacharyya
,
S. K.
, 1996, “
Finite Element Analysis of Fluid-Structure Interaction Effect on Liquid Retaining Structures Due to Sloshing
,”
Comput. Struct.
0045-7949,
59
(
6
), pp.
1165
1171
.
7.
Hamdan
,
F. H.
, 2000, “
Seismic Behaviour of Cylindrical Steel Liquid Storage Tanks
,”
J. Constr. Steel Res.
0143-974X,
53
(
3
), pp.
307
333
.
8.
Pal
,
N. C.
,
Bhattacharyya
,
S. K.
, and
Sinha
,
P. K.
, 2003, “
Non-Linear Coupled Slosh Dynamics of Liquid-Filled Laminated Composite Containers: A Two Dimensional Finite Element Approach
,”
J. Sound Vib.
0022-460X,
261
(
4
), pp.
729
749
.
9.
USAEC
, 1963, “
Nuclear Reactors and Earthquakes
” (TID-7024),
US Atomic Energy Commission
, Washington.
10.
ASCE
, 1998, “
ASCE 4-98, Seismic Analysis of Safety Related Nuclear Structures and Commentary
,” Fourth Revision,
American Society of Civil Engineers
, Washington.
11.
Structural Research & Analysis Corp.
, 1997, “
COSMOS∕M 2.0, A Complete Finite Element Analysis System
,”
Structural Research & Analysis Corp.
, Los Angeles.
12.
BIS
, 2000, “
IS: 456, Indian Standard Code of Practice for Plain and Reinforced Concrete
,” Fourth Revision,
Bureau of Indian Standards
, New Delhi, India.
13.
Kennedy
,
R. P.
,
Cornell
,
C. A.
,
Campbell
,
R. D.
,
Kaplan
,
S.
, and
Perla
,
H. F.
, 1980, “
Probabilistic Seismic Safety Study of an Existing Nuclear Power Plant
,”
Nucl. Eng. Des.
0029-5493,
59
, pp.
315
338
.
14.
Kennedy
,
R. P.
, and
Ravindra
,
M. K.
, 1984, “
Seismic Fragilities for Nuclear Power Plant Risk Studies
,”
Nucl. Eng. Des.
0029-5493,
79
, pp.
47
68
.
15.
EPRI
, 1991, “
A Methodology for Assessment of Nuclear Power Plant Seismic Margins
,”
Electric Power Research Institute
, Paulo Alto, CA, EPRI NP-6041.
16.
Ravindra
,
M. K.
, 1997, “
Seismic Individual Plant Examination of External Events of US Nuclear Power Plants: Insights and Implications
,”
Nucl. Eng. Des.
0029-5493,
175
, pp.
227
236
.
17.
Der Kiureghian
,
A.
, 1999, “
A Baysian Framework for Fragility Assessment
,”
Proc. of 8th International Conference on Applications of Statistics and Probability (ICASP) in Civil Engineering Reliability and Risk Analysis
,
R. E.
Melchers
and
M. G.
Stewart
, eds.,
A. A. Balkema
,
Sydney
, Australia, Vol.
2
, pp.
1003
1010
.
18.
Dimova
,
S. L.
, and
Hirata
,
K.
, 2000, “
Simplified Seismic Fragility Analysis of Structures with Two Types of Friction Devices
,”
Earthquake Eng. Struct. Dyn.
0098-8847,
29
, pp.
1153
1175
.
19.
Shinozuka
,
M.
,
Feng
,
M. Q.
,
Kim
,
H.-K.
, and
Kim
,
S.-H.
, 2000, “
Nonlinear Static Procedure for Fragility Curve Development
,”
J. Eng. Mech.
0733-9399,
126
(
12
), pp.
1287
1295
.
20.
Sasani
,
M.
, and
Der Kiureghian
,
A.
, 2001, “
Seismic Fragility of RC Structural Walls: Displacement Approach
,”
J. Struct. Eng.
0733-9445,
127
(
2
), pp.
219
228
.
21.
Bhargava
,
K.
,
Ghosh
,
A. K.
,
Agrawal
,
M. K.
,
Patnaik
,
R.
,
Ramanujam
,
S.
, and
Kushwaha
,
H. S.
, 2002, “
Evaluation of Seismic Fragility of Structures: A Case Study
,”
Nucl. Eng. Des.
0029-5493,
212
, pp.
253
272
.
22.
Bhargava
,
K.
,
Agrawal
,
M. K.
,
Ghosh
,
A. K.
,
Patnaik
,
R.
,
Ramanujam
,
S.
, and
Kushwaha
,
H. S.
, 2002, “
Seismic Fragility for an Existing Containment Structure
,”
12th Symposium on Earthquake Engineering, Roorkee, India
, pp.
1083
1093
.
23.
BIS
, 1965, “
IS: 3370 Part II, Indian Standard Code of Practice for Concrete Structures for the Storage of Liquids, Part II: Reinforced Concrete Structures
,”
Bureau of Indian Standards
, New Delhi, India.
24.
Newmark
,
N. M.
, and
Hall
,
W. J.
, 1982,
Earthquake Spectra and Design
,
Earthquake Engineering Research Institute
, Berkeley, CA, pp.
29
54
.
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