Wall-Bottom Joint Rotation of Cylindrical Concrete Water Tank
Publication: Practice Periodical on Structural Design and Construction
Volume 25, Issue 4
Abstract
Cylindrical concrete water tanks resting on the ground are widely used in water and wastewater treatment plants. The hoop force in the cylindrical wall is a critical design force. Rotation of the wall-bottom joint directly influences the design forces, i.e., hoop force and bending moment of the tank wall. The prevalent method of design suggests the assumption of hinge and fixed conditions at the wall bottom for the maximum value of hoop force and bending moment, respectively. However, many recent studies have shown that there is a possibility of the wall-bottom joint rotation being more than the hinged wall-bottom joint rotation. This happens in case of tanks resting on deformable strata. This paper presents a simplified analytical expression for rotation at a hinged wall-bottom joint and further develops analytical expressions for design forces for a known wall-bottom joint rotation for any tank with finite dimensions. The analytical expressions developed are ratified by finite-element analysis (FEA) as well as with standard design tables. By knowing the exact value of rotation at the wall-bottom joint and corresponding design forces, practicing engineers can assess the possible adverse effect of the deformable strata.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
References
Billington, D. P. 1982. Thin shell concrete structures. New York: McGraw-Hill.
Das, A. K., and K. Deb. 2017. “Response of cylindrical storage tank foundation resting on tensionless stone column-improved soil.” Int. J. Geomech. 17 (1): 04016035. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000697.
Dehadrai, V. P., and R. K. Ingle. 2016. “Cylindrical water tanks resting on soil of varying stiffness.” Pract. Period. Struct. Des. Constr. 21 (3): 04016006. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000288.
el Mezaini, N. 2006. “Effects of soil-structure interaction on the analysis of cylindrical tanks.” Pract. Period. Struct. Des. Constr. 11 (1): 50–57. https://doi.org/10.1061/(ASCE)1084-0680(2006)11:1(50).
Kelkar, V. S., and R. T. Sewell. 1987. Fundamentals of the analysis and design of shell structures. Englewood Cliffs, NJ: Prentice Hall.
Kukreti, A. R., and Z. A. Siddiqi. 1997. “Analysis of fluid storage tanks including foundation-superstructure interaction using differential quadrature method.” Appl. Math. Modell. 21 (4): 193–205. https://doi.org/10.1016/S0307-904X(97)00007-3.
Kukreti, A. R., M. M. Zaman, and A. Issa. 1993. “Analysis of fluid storage tanks including foundation-superstructure interaction.” Appl. Math. Modell. 17 (12): 618–631. https://doi.org/10.1016/0307-904X(93)90072-O.
Mistriková, Z., and N. Jendzelovsky. 2012. “Static analysis of the cylindrical tank resting on various types of subsoil.” J. Civ. Eng. Manage. 18 (5): 744–751. https://doi.org/10.3846/13923730.2012.723346.
PCA (Portland Cement Association). 1993. Circular concrete tanks without prestressing. Skokie, IL: PCA.
Silva, R. L. C., G. B. Marques, E. N. Lages, and S. P. C. Marques. 2017. Contribuição ao projeto de reservatórios cilíndricos de concreto armado apoiados em base deformável. Maceió, Brazil: Centro De Tecnologia.
Silva, R. L. C., G. B. Marques, E. N. Lages, and S. P. C. Marques. 2019. “Analytical study of cylindrical tanks including soil-structure interaction.” Rev. IBRACON Estrut. Mater. 12 (1): 14–22. https://doi.org/10.1590/s1983-41952019000100003.
Timoshenko, S., and S. Woinowsky-Krieger. 1959. Theory of plates and shells. New York: McGraw-Hill.
Vichare, S., and M. Inamdar. 2010. “An analytical solution for cylindrical concrete tank on deformable soil.” Int. J. Adv. Struct. Eng. 2 (1): 69–90.
Waylie, C. R., and L. C. Barrett. 1995. Advanced engineering mathematics. New York: McGraw-Hill.
Winkler, E. 1867. Theory of elasticity and strength. Prague, Czechia: Dominicus.
Ziari, A., and M. R. Kianoush. 2009a. “Investigation of direct tension cracking and leakage in RC elements.” Eng. Struct. 31 (2): 466–474. https://doi.org/10.1016/j.engstruct.2008.09.011.
Ziari, A., and M. R. Kianoush. 2009b. “Investigation of flexural cracking and leakage in RC liquid containing structures.” Eng. Struct. 31 (5): 1056–1067. https://doi.org/10.1016/j.engstruct.2008.12.019.
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Published In
Practice Periodical on Structural Design and Construction
Volume 25 • Issue 4 • November 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Dec 3, 2019
Accepted: May 8, 2020
Published online: Jul 15, 2020
Published in print: Nov 1, 2020
Discussion open until: Dec 15, 2020
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