Abstract
Slender storage tanks on tube feet or skirt support are essential components of industrial facilities and often contain large amounts of hazardous liquid. As the geometry of such storage tanks with torispherical heads is somewhat standardised, seismically induced stresses and anchoring forces are often calculated by the equipment manufacturer in a simplified and conservative way. Thereby, the hydrodynamic effects of the stored liquid are usually not taken into account. This often leads to high resulting anchoring forces that may exceed the typical bearing resistance of the discrete anchoring at the tube feet or skirt support. In this paper, a procedure is suggested that lowers the overall stress resultants by determining the tank’s response in a more differentiated way. It is based on calculating the hydrodynamic pressure and load components as a function of the geometrical characteristics of the tank. The general concept was developed for flat bottom tanks but can be transferred—with certain adjustments—to the considered slender storage tanks on tube feet or skirts. Emphasis is set on the potential for energy dissipation and on the choice of appropriate response acceleration and response spectra, respectively, which is different for the individual load components. The suggested procedure is prepared for easy-to-use application by providing simple formulas and tabulated coefficients. Its capability for design load reduction in comparison to the simplified calculation method is shown on an exemplary case study.
Similar content being viewed by others
References
AD 2000 S 3/0 guideline (2016) General safety verification for pressure vessels – principles
AD 2000 S 3/1 guideline (2018) General safety verification for pressure vessels – vessels with torispherical heads on skirts
AD 2000 S 3/3 guideline (2001) General safety verification for pressure vessels – vessels with torispherical heads on feet
API 650 (2013) Welded tanks for oil storage. American Petroleum Institute Standards
Applied Technology Council (2018) Recommendations for improved seismic performance of nonstructural components, NIST GCR 18-917-43
ASCE/SEI 7-16 (2017) Minimum design loads and associated criteria for buildings and other structures, American society of civil engineers
AWWA D100-11 (2011) Welded carbon steel tanks for water storage, American water works association
Berahman F, Behnamfar F (2007) Seismic fragility curves for un-anchored on-grade steel storage tanks: bayesian approach. J Earthq Eng 11:166–192
Bronstein IN, Semendjajew KA (1996) Teubner-Taschenbuch der Mathematik (Teubner paperback of mathematics). In: Zeidler E, Teubner Verlagsgesellschaft. ISBN 3-8154-2001-6
Brunesi E, Nascimbene R, Pagani M, Beilic D (2015) Seismic performance of storage steel tanks during the May 2012 Emilia, Italy, Earthquakes. J Perform Constr Facil 29(5):04014137
Butenweg C, Holtschoppen B (2019) Seismic design of structures and components in industrial units. In: Meskouris K, Butenweg C, Hinzen KG, Höffer R (eds) Structural dynamics with applications in earthquake and wind engineering, 2nd edn. Springer, New York
Chopra AK (2007) Dynamics of structures. Pearson Prentice Hall, New Jersey
Clough DP (1977) Experimental evaluation of seismic design methods for broad cylindrical tanks. Report No. UCB/EERC-77/10, University of Califorina, Berkeley, California
Cornelissen P (2010) Erarbeitung eines vereinfachten impulsiv-flexiblen Lastansatzes für die Berechnung von Tankbauwerken unter Erdbebenlast (Derivation of a simplified impulsive-flexible load approach for the calculation of seismically loaded tanks). Diploma thesis at the chair of structural analysis and dynamics of RWTH Aachen University
Courtesy of SDA-engineering GmbH, Germany, www.sda-engineering.de, anonymized project
Courtesy of Thaletec GmbH, Thale, Germany, www.thaletec.com
Dazio A, Beyer K, Braune F, Fritsche S, Mittaz X (2009) Das MW = 6.3 Erdbeben von L’Aquila am 6. April 2009 – Bericht der SGEB-Erkundungsmission vom 15. – 18. April 2009. Swiss Society for Earthquake Engineering and Structural Dynamics
DIN 28018/DIN 28019 (2006) pressure vessels, glass lined steel – vessels for production plants
DIN 28011 (2012) Gewölbte Böden – Klöpperform (torispherical heads)
DIN EN 1998-1/NA (2021) National annex for Germany – Nationally determined parameters – Eurocode 8: design of structures for earthquake resistance – part 1: general rules, seismic actions and rules for buildings
EN 1990 (2005) Eurocode 0: basis of structural design
EN 1998-4 (2006) Eurocode 8: design of structures for earthquake resistance – part 4: silos, tanks and pipelines
EN 1998-1 (2010) Eurocode 8: design of structures for earthquake resistance – part 1: general rules, seismic actions and rules for buildings
Erdik M (2000) Report on 1999 Kocaeli and Düzce (Turkey) earthquakes. In: Structural control for civil and infrastructure engineering. pp 149–186
Fischer FD (1979a) Dynamic fluid effects in liquid-filled flexible cylindrical tanks. Earthq Eng Struct Dynam 7:587–601
Fischer FD (1979b) Näherungsweise Ermittlung des Membranspannungszustandes in erdbebenbeanspruchten, flüssigkeitsgefüllten Tankbauwerken (Approximate determination of membrane stress state in seismically loaded liquid-filled tanks). In: Conference proceedings Schalenbeulentagung Darmstadt. pp 45–61
Fischer FD (1981) Ein Vorschlag zur erdbebensicheren Bemessung von flüssigkeitsgefüllten zylindrischen Tankbauwerken (A proposal for the earthquake-resistant design of liquid-filled cylindrical tanks), Der Stahlbau, Vol 50 1/1981. pp 13–20
Fischer FD, Rammerstorfer FG (1982) The stability of liquid-filled cylindrical shells under dynamic loading. In: Ramm E (ed) Buckling of shells, proceedings of a state-of-the-art colloquium at the University of Stuttgart. pp 569–597
Fischer FD, Rammerstorfer FG (1999) A refined analysis of sloshing effects in seismically excited tanks. Int J Press Vessels Pip 76:693–709
Fischer FD, Rammerstorfer FG, Scharf K (1991) Earthquake resistant design of anchored and unanchored liquid storage tanks under three-dimensional earthquake excitation. In: Schuëller GI (Ed) Structural dynamics. pp 317–371
Gonzales E, Almazán J, Belrán J, Herrera R, Sandoval V (2013) Performance of stainless steel winery tanks during the 02/27/2010 Maule earthquake. Eng Struct 56:1402–1218
Habenberger J (2001) Beitrag zur Berechnung von nachgiebig gelagerten Behältertragwerken unter seismischen Einwirkungen (Contribution on the calculation of flexibly supported tank structures for seismic actions). PhD thesis at Bauhaus-Universität Weimar, Germany
Haroun MA (1980) Dynamic analyses of liquid storage tanks. Report of the California Institute of Technology Earthquake Engineering Research Laboratory
Holl H (1987) Parameteruntersuchung zur Abgrenzung der Anwendbarkeit eines Berechnungskonzeptes für erdbebenbeanspruchte Tankbauwerke (Parameter investigation to delimit the applicability of a calculation concept for tank structures subjected to seismic loads). Report 1/87 of the Institute of light weight structures and aircraft construction of the Technical University Vienna
Holtschoppen B (2009) Beitrag zur Auslegung von Industrieanlagen auf seismische Belastungen (Contribution on seismic design of industrial facilities). PhD thesis at RWTH Aachen University
Housner GW (1963) The dynamic behavior of water tanks. Bull Seismol Soc Am 53:381–387
Kettler M (2004) Earthquake design of large liquid-filled steel storage tanks. Diploma Thesis at the Institute for Steel Constructions at the Technical University of Graz
Knoedel P, Gkatzogiannis S, Holtschoppen B, Ummenhofer T (2022) Seismic design of elevated silos and tanks – a study on behaviour factors, SSDS 2022, Aveiro, Portugal
Krausmann E, Cruz AM, Affeltranger B (2010) The impact of the 12 May 2008 Wenchuan earthquake on industrial facilities. J Loss Prev Process Ind 23:242–248
Malhotra PK (2006) Earthquake induced sloshing in tanks with insufficient freeboard. Struct Eng Int 3(2006):222–225
Malhotra PK (2021) Seismic response of liquid-storage tanks. In: Malhotra PK (ed) Seismic analysis of structures and equipment. Springer, New York
Malhotra PK, Wenk T, Wieland M (2000) Simple procedure for seismic analysis of liquid-storage tanks. Struct Eng Int 3(2000):197–201
Manos GC (1991) Evaluation of the earthquake performance of anchored wine tanks during the San Juan, Argentina, 1977 Earthquake. Earthq Eng Struct Dynam 20:1099–1114
NCh2369 (2003) Earthquake-resistant design of industrial structures and facilities, Instituto Nacional de Normalizacion Chile
NZSEE Seismic Design of Storage Tanks (2009), New Zealand society for earthquake engineering, recommendations of a NZSEE study group on seismic design of storage tanks
O’Rourke MJ, So P (2000) Seismic fragility curves for on-grade steel tanks. Earthq Spectra 16(4):801–815
Phan HN, Paolacci F, Alessandri S (2016) fragility analysis methods for steel storage tanks in seismic prone areas. In: ASME 2016 pressure vessels and piping conference, Vancouver, Canada
Rammerstorfer FG, Fischer FD (2004) Ein Vorschlag zur Ermittlung von Belastungen und Beanspruchungen von zylindrischen, flüssigkeitsgefüllten Tankbauwerken bei Erdbebeneinwirkung (A proposal for the determination of loads and stresses of cylindrical liquid-filled tanks under seismic excitation). Revised Edition of the institute report ILFB-2/90, Institute of lightweight construction and structural and biomechanics (ILSB) of Technical University Vienna, Austria
Sakai F, Ogawa H, Isoe A (1984) Horizontal, vertical and rocking fluid-elastic response and design of cylindrical liquid storage tanks. In: Proc. 8th WCEE, San Francisco
Salzano E, Iervolino I, Fabbrocino G (2003) Seismic risk of admospheric storage tanks in the framework of quantitative risk analysis. J Loss Prev Process Ind 16(5):403–409
Scharf, K. (1990) Beiträge zur Erfassung des Verhaltens von erdbebenerregten, oberirdischen Tankbauwerken. Thesis at the Technical University of Vienna
Sigloch H (2009) Technische Fluiddynamik (Technical fluid dynamics), 7th edn. Springer, New York
Veletsos AS (1974) Seismic effects in flexible liquid storage tanks. In: Proceedings of the 5th World Conference on Earthquake Engineering, Rome. pp 630–639
Veletsos AS (1984) Seismic response and design of liquid storage tanks. In: ASCE committee on gas and liquid fuel lifelines: guidelines for the seismic design of oil and gas pipeline systems. pp 255–370
Veletsos AS, Yang JY (1977) Earthquake response of liquid-storage tanks. In: Proceedings of the second engineering mechanics specialty conference, ASCE. pp 1–24
Verband der Chemischen Industrie e.V. (VCI) (2023) VCI-Leitfaden – der Lastfall Erdbeben im Anlagenbau (VCI Technical Guideline – the seismic load case in plant engineering). Guideline document + commentary document for the design, dimensioning and construction of structures and components in the chemical industry based on DIN EN 1998-1, 3rd edn. Rev. 03/2023, available in German and English
www.pexels.com; free stock photo by Tom Fisk
Yang JY (1976) Dynamic behavior of fluid-tank systems. PhD thesis at the Rice University in Houston, Texas
Funding
The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors have no relevant financial or non-financial interests to disclose.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Holtschoppen, B., Knoedel, P. Seismic response of slender storage tanks on tube feet or skirt support. Bull Earthquake Eng 22, 55–73 (2024). https://doi.org/10.1007/s10518-023-01704-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-023-01704-z