DOI QR코드

DOI QR Code

Seismic response and failure modes for a water storage structure - A case study

  • Bhargava, Kapilesh (Engineering Services Group, Bhabha Atomic Research Centre) ;
  • Ghosh, A.K. (Health Safety and Environment Group, Bhabha Atomic Research Centre) ;
  • Ramanujam, S. (Engineering Services Group, Bhabha Atomic Research Centre)
  • Received : 2004.11.26
  • Accepted : 2005.02.25
  • Published : 2005.05.10

Abstract

The present paper deals with the seismic response analysis and the evaluation of most likely failure modes for a water storage structure. For the stress analysis, a 3-D mathematical model has been adopted to represent the structure appropriately. The structure has been analyzed for both static and seismic loads. Seismic analysis has been carried out considering the hydrodynamic effects of the contained water. Based on the stress analyses results, the most likely failure modes viz. tensile cracking and compressive crushing of concrete for the various structural elements; caused by the seismic event have been investigated. Further an attempt has also been made to quantify the initial leakage rate and average emptying time for the structure during seismic event after evaluating the various crack parameters viz. crack-width and crack-spacing at the locations of interest. The results are presented with reference to peak ground acceleration (PGA) of the seismic event. It has been observed that, an increase in PGA would result in significant increase in stresses and crack width in the various structural members. Significant increase in initial leakage rate and decrease in average emptying time for the structure has also been observed with the increase in PGA.

Keywords

References

  1. ACI (1985), ACI-318 : Standard Code Requirements for Reinforced Concrete and Commentary, American Concrete Institute, Detroit, USA
  2. ACI (1990), ACI-224R : Control of Cracking in Concrete Structures, American Concrete Institute, Detroit, USA
  3. Arya, A.S., Thakkar, S.K. and Goyal, A.C. (1971), 'Vibration analysis of thin cylindrical containers', Proceedings ASCE EM2, 317-331
  4. ASCE (1998), ASCE 4-98 : Seismic Analysis of Safety-Related Nuclear Structures and Commentary, Fourth Revision, American Society of Civil Engineers, Washington, USA
  5. Aslam, M. (1981), 'Finite element analysis of earthquake induced sloshing in axisymmetric tanks', Int. J. Numer. Meth. Engg., 17, 159-169 https://doi.org/10.1002/nme.1620170102
  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., 59(6), 1165-1171 https://doi.org/10.1016/0045-7949(95)00158-1
  7. Balendra, T. (1979), 'Earthquake fmite element analysis of an annular cylindrical liquid storage tanks', Proc. 3rd Int. Conf on Finite Element Methods, Australia
  8. 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, N.Y., USA
  9. Beeby, A.W. (1979), 'The prediction of crack widths in hardened concrete', Structural Engineer (London), 57A(I), 9-17
  10. Bhargava Kapilesh, Ghosh, A.K. and Ramanujam, S. (2003), 'Seismic response analysis of a water storage structure', Proc. of Structural Engineering Convention, SEC 2003, Kharagpur, India, 511-521
  11. Bhargava Kapilesh, Ghosh, A.K. Agrawal, M.K., Patnaik, R., Ramanujam, S. and Kushwaha, H.S. (2002), 'Evaluation of seismic fragility of structures - A case study', Nuclear Engineering and Design, 212(1-3), 253-272 https://doi.org/10.1016/S0029-5493(01)00469-1
  12. 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
  13. BIS (2000), IS : 456, Indian Standard Code of Practice for Plain and Reinforced Concrete, Fourth Revision, Bureau of Indian Standards, New Delhi, India
  14. Broms, B.B. (1965), 'Crack width and crack spacing in reinforced concrete members', ACI J., 62(10), 1237-1256
  15. Broms, B.B. and Lutz, L.A. (1965), 'Effects of arrangement of reinforcement on crack width and spacing of reinforced concrete members', ACI J., 62(11), 1395-1420
  16. CEB-FIP (1990), Comite Euro-International du Beton-Federation International de la Precontrainte - Design Code, Thomas Telford, London, UK
  17. Chowdhary, S.H. and Loo, Y.C. (1997), 'Crack width formula for reinforced and partially prestressed concrete beams', Proc., Int. Conf. on Maintenance and Durability of Concrete Structures, Hyderabad, India, 46-51
  18. Chowdhary, S.H. and Loo, Y.C. (2001), 'A new formula for prediction of crack widths in reinforced and partially prestressed concrete beams', Advances in Structural Engineering - An Int. J., 4(2), 101-110 https://doi.org/10.1260/1369433011502390
  19. COSMOS/M 2.0 (1997), A Complete Finite Element Analysis System, Structural Research & Analysis Corporation, Los Angeles, USA
  20. Gergely P. and Lutz, L.A. (1968), 'Maximum crack width in reinforced concrete flexural members - Cause, mechanism and control of cracking in concrete', SP-20, American Concrete Institute, Detroit, 87-117
  21. Haroun, M.A. and Housner, G.W. (1982), 'Dynamic characteristics of liquid storage tanks', Proceedings ASCE, 108, 783-799
  22. Housner, G.W. and Haroun, M.A. (1981), 'Seismic design of liquid storage tanks', J. Technical Council of ASCE, USA
  23. Macgregor, J.G., Rizkallah, S.H. and Simmonds, S.H. (1980), 'Cracking of reinforced and prestressed concrete wall segments', Structural Engineering Report, No. 82, Department of Civil Engineering, University of Alberta, Edmonton, Canada
  24. Maheri, M.R. and Severn, R.T. (1991), 'Hydrodynamic consideration for seismic design of cylindrical structures', Civil Engg. Dyn., 297-313
  25. Rizkallah, S.H., Lau, B.L. and Simmonds, S.H. (1984a), 'Air leakage characteristics in reinforced concrete', J. Struct. Eng, ASCE, 110(5), 1149-1162 https://doi.org/10.1061/(ASCE)0733-9445(1984)110:5(1149)
  26. Rizkallah, S.H. and Hwang, L.S. (1984b), 'Crack prediction for members in uniaxial tension', ACI J., 81(10), 572-579
  27. Sukenobu Tani, Tanaka, Y and Hori, N. (1982), 'Dynamic analysis of cylindrical shells containing liquid', J. Press. Vessel Technol., 104, 1229-1234
  28. USAEC (1963), Nuclear Reactors and Earthquakes (TID-7024), US Atomic Energy Commission, Washington, USA
  29. 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, Mo., 446-455
  30. Veletsos, A.S. and Yang, J.Y. (1974), 'Seismic effects on liquid storage tanks', Proc. 5th World Conf. on Earthq. Eng, Rome

Cited by

  1. Analytical and experimental study on natural sloshing frequencies in annular cylindrical tank with a bottom gap vol.57, pp.5, 2016, https://doi.org/10.12989/sem.2016.57.5.877