NON-LINEAR ANALYSIS OF SLENDER MASONRY COLUMN SUBJECTED TO BIAXIAL BENDING
Keywords:Non-linearity, masonry, column, stress-strain diagram.
The article deals with a method for analysing slender masonry columns. The proposed method uses material and geometric non-linearity. Various stress-strain diagrams can be used: linear, linear-plastic, parabolic-plastic, two various parabolic and rigid-plastic. In all cases, the tensile strength is neglected. The method can be used for analysing the column in accordance with Eurocodes in two ways: SLS (serviceability limit state) and ULS (ultimate limit state). The internal forces are calculated on a general beam model, with imperfections in both directions, which result in two bending moments in two perpendicular planes – biaxial bending. This case is not covered by the current code – Eurocode, even though all columns are more or less loaded in both directions. In this numerical study, using Matlab software, an algorithm was developed for modelling a real 3D case. The results of this study are also compared to the results of laboratory tests of masonry columns.
D. Pume, K. Lorenz. En 1996–1–1 - design of masonry structures. Standard, ÚNMZ, 2007.
BSI. 5628-1:2005 Code of practice for the use of masonry, Part 1: Structural use of unreinforced masonry. Standard, British Standards Institution, 2005. doi:10.3403/BS5628.
B. Das. Principles of foundation engineering. Cengage, 2018.
W. Jäger. Mauerwerk-Kalender 2012, Schwerpunkt: Eurocode 6. Ernst und Sohn, 2013. doi:10.1002/9783433601617.ch18.
V. Förster. Load-bearing capacity of slender unreinforced masonry compression members under biaxial bending. Mauerwerk 21(5):320–331, 2017. doi:10.1002/dama.201700015.
J. Cais. The eccentrical loading of columns in accordance with new standards. Inženýrské stavby (5), 1957.
TMS 402/ACI 530/ASCE 5 – Building code requirements for masonry structures. Standard, The masonry society, 2013.
M. Vokál, M. Drahorád. Non–linear analysis of slender masonry beam. Transactions of the VŠB 17(1), 2017. doi:10.1515/tvsb-2017-0039.
G. Milani, P. Lourenco, A. Tralli. Homogenization approach for the limit analysis of out-of-plane loaded masonry walls. Journal of Structural Engineering-asce 132, 2006 doi:10.1061/(ASCE)0733-9445(2006)132:10(1650).
E. Gazzola, R. Drysdale, A. Essawy. Bending of concrete masonry walls at different angles to the bed joints. In Proceedings 3th North American Masonry Conference, Arlington, Texas, USA, vol. 27. 1985.
C. Southcombe, I. May, V. Chong. The behaviour of brickwork panels with openings under lateral load. In Proceedings of the British Masonry Society, vol. 7, pp. 105 – 110. 1995.
S. Timoshenko, J. Gere. Theory of Elastic Stability. McGraw-Hill., 1961.
Z. P. Bažant, L. Cedolin. Stability of structures; Elastic, inelastic fracture and damage theories. World Scientific Publishing Co. Pte. Ltd., 2010.
B. H. Kaushik, C. D. Rai, S. K. Jain. Stress-strain characteristics of clay brick masonry under uniaxial compression. Journal of Materials in Civil Engineering 19(9), 2007. doi:10.1061/ASCE0899-1561200719:9728.
N. Augenti, F. Parisi. Constitutive models for tuff masonry under uniaxial compression. Journal of Materials in Civil Engineering 22(11), 2010. doi:10.1061/(ASCE)MT.1943-5533.0000119.
J. Klouda. The behavior of masonry columns loaded eccentrically, part 1 and 2. Stavebnictví (8), 2016.
L. Z. Hansen. Stability of Masonry Columns. Danmarks tekniske universitet, 2003.
V. Hrdoušek, M. Drahorád. Csn p 73 6213 - design of masonry road bridges. Standard, ÚNMZ, 2008.
V. Honzík, M. Drahorád. The behavior of masonry columns loaded eccentrically. Stavebnictví (4), 2017.
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