Abstract
This chapter first presents a direct element removal procedure for use in finite element (FE) applications. The procedure accounts for the sudden removal of a structural member during an ongoing FE simulation, based on dynamic equilibrium and the resulting transient change in system kinematics, by applying imposed accelerations instead of external forces at a node where an element was once connected. The algorithm is implemented into an open-source FE code, numerically tested using a demonstration structural system with simplified element removal criteria, and shown able to capture the effect of uncertainty in member capacity. Subsequently, the chapter presents a number of material and cross-section constitutive models and uses them to develop realistic criteria for the collapse and removal of as-built and retrofitted reinforced concrete (RC) columns. Finally, a progressive collapse analysis of a RC structure with unreinforced masonry infill wall is presented as a demonstration for the developed procedure and material models.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kim Y, Kabeyasawa T (2004) Dynamic test and analysis of an eccentric reinforced concrete frame to collapse. 13th World Conference on Earthquake Engineering, Vancouver, Canada
Wu C-L, Loh C-H, Yang Y-S (2006) Shake table tests on gravity load collapse of low-ductility RC frames under near-fault earthquake excitation. Advances in Experimental Structural Engineering, Itoh and Aoki, Eds: 725–732
Ghannoum W (2007) Experimental and analytical dynamic collapse study of a reinforced concrete frame with light transverse reinforcements. PhD Dissertation, University of California, Berkeley
Grierson DE, Xu L, Liu Y (2005) Progressive-failure analysis of buildings subjected to abnormal loading. Computer-Aided Civil and Infrastructure Engineering, 20(3):155–171
Kaewkulchai G, Williamson EB (2006) Modeling the impact of failed members for progressive collapse analysis of frame structures. Journal of Performance of Constructed Facilities, 20(4):375–383
Kaewkulchai G, Williamson EB (2004) Beam element formulation and solution procedure for dynamic progressive collapse analysis. Computers and Structures, 82(7–8):639–651
Pretlove AJ, Ramsden M, Atkins AG (1991) Dynamic effects in progressive failure of structures. International Journal of Impact Engineering, 11(4):539–546
Ramsden M (1987) Dynamic effects in the progressive failure of lattice structures. PhD Dissertation, University of Reading, UK
Powell G (2005) Progressive collapse: case studies using nonlinear analysis. Structures Congress and Forensic Engineering Symposium, New York, 2185–2198
Haselton CB, Deierlein GG (2005) Benchmarking seismic performance of reinforced concrete frame buildings. Structures Congress and Forensic Engineering Symposium, New York, 1891–1902
Zareian F, Krawinkler H (2007) Assessment of probability of collapse and design for collapse safety. Earthquake Engineering & Structural Dynamics, 36(16):1901–1914
Elwood KJ, Moehle JP (2005) Axial capacity model for shear-damaged columns. ACI Structural Journal, 102(4):578–587
Talaat M, Mosalam KM (2008) Computational modeling of progressive collapse in reinforced concrete frame structures. PEER Technical Report 2007/10
Mosalam KM, Talaat M, Binici B (2007) A computational model for reinforced concrete members confined with fiber reinforced polymer lamina: implementation and experimental validation. Composites Part B: Engineering, 38(5–6):598–613
Mazzoni S, et al. (2004). Opensees User’s Manual. http://www.opensees.berkeley.edu
Zineddin M, Krauthammer T (2007) Dynamic response and behavior of reinforced concrete slabs under impact loading. International Journal of Impact Engineering, 34(9):1517–1534
Crisfield MA, Moita GF (1996) Unified co-rotational framework for solids, shells and beams. International Journal of Solids and Structures, 33(20–22):2969–2992
Mander JB, Priestley M, Park R (1988) Theoretical stress-strain model for confined concrete. ASCE Journal of Structural Engineering, 114(8):1804–1826
Binici B (2003) An analytical model for stress-strain behavior of confined concrete. Eng. Structures, 27(7):1040–1051
Popovics S (1973) A numerical approach to the complete stress–strain curves for concrete. Cement and Concrete Research, 3(5):583–590
Pramono E and Willam K (1985) Fracture-energy based plasticity formulation of plain concrete. ASCE Journal of Engineering Mechanics, 115(8):1183–1204
Lokuge W, Sanjayan J and Setunge S (2004) Constitutive model for confined high strength concrete subjected to cyclic loading. ASCE Journal of Materials in Civil Engineering, 16(4):297–305
Dhakal R, Maekawa K (2000) Modeling for post-yield buckling of reinforcement. ASCE Journal of Structural Engineering, 128(9):1139–1147
Brown J, Kunnath S (2000) Low cycle fatigue behavior of longitudinal reinforcement in reinforced concrete bridge columns. Report No MCEER-00-0007
Monti G and Nuti C (1992) Nonlinear cyclic behavior of reinforcing bars including buckling. ASCE Journal of Structural Engineering, 118(12):3268–3284
Binici B, Mosalam KM (2007) Analysis of reinforced concrete columns retrofitted with fiber-reinforced polymer lamina. Composites B: Engineering, 38(2):265–276
Xiao Y, Ma R (1997) Seismic retrofit of RC circular columns using prefabricated composite jacketing. ASCE Journal of Structural Engineering, 123(10):1357–1364
Viwathanatepa S (1979) Bond deterioration of reinforcing bars embedded in confined concrete blocks. PhD Dissertation, University of California, Berkeley
Henry L (1998) Study of Buckling of Longitudinal Bars in Reinforced Concrete Bridge Columns. MS Thesis, University of California, Berkeley
Hashemi A, Mosalam KM (2007) Seismic evaluation of reinforced concrete buildings including effects of masonry infill walls. PEER Technical Report 2007/100
Acknowledgments
This study was supported by the Earthquake Engineering Research Centers Program of the NSF under Award No. EEC-9701568 to PEER at UC Berkeley. Financial support from the research sponsor is gratefully acknowledged. Opinions and findings presented are those of the authors and not necessarily the sponsors.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Talaat, M.M., Mosalam, K.M. (2009). How to Simulate Column Collapse and Removal in As-built and Retrofitted Building Structures?. In: Ilki, A., Karadogan, F., Pala, S., Yuksel, E. (eds) Seismic Risk Assessment and Retrofitting. Geotechnical, Geological and Earthquake Engineering, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2681-1_20
Download citation
DOI: https://doi.org/10.1007/978-90-481-2681-1_20
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2680-4
Online ISBN: 978-90-481-2681-1
eBook Packages: EngineeringEngineering (R0)