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http://dx.doi.org/10.12989/sem.2015.53.1.131

A method for predicting approximate lateral deflections in thin glass plates  

Xenidis, H. (Department of Civil Engineering, Aristotle University of Thessaloniki)
Morfidis, K. (Institute of Engineering Seismology and Earthquake Engineering (EPPO-ITSAK))
Papadopoulos, P.G. (Department of Civil Engineering, Aristotle University of Thessaloniki)
Publication Information
Structural Engineering and Mechanics / v.53, no.1, 2015 , pp. 131-146 More about this Journal
Abstract
In the present paper a three-dimensional non-linear truss element and a short computer program for the modeling and predicting approximate lateral deflections in thin glass plates by the method of incremental loading are proposed. Due to the out-of-plane large deflections of thin glass plates compared to the plate thickness within each loading increment, the equilibrium and stiffness conditions are written with respect to the deformed structure. An application is presented on a thin fully tempered monolithic rectangular glass plate, laterally supported around its perimeter subjected to uniform wind pressure. The results of the analysis are compared with published experimental results and found to have satisfactory approximation. It is also observed that the large deflections of a glass plate lead to a part substitution of the bending plate behavior by a tensioned membrane behavior which is favorable.
Keywords
truss model; glass plate; tempered glass; geometric nonlinearity; wind pressure; computer program;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Behr, R.A., Minor, J.E., Linden, M.P. and Vallabhan, C.V.G. (1985), "Laminated glass units under uniform lateral pressure", J. Struct. Eng., ASCE, 111(5), 1037-1050.   DOI
2 Absi, E. (1978), Methodes des Calcul Numerique en Elasticite, Eyrolles, Paris.
3 Argyris, J.H. (1984), International Conferences FENoMech (Finite Elements in Nonlinear Mechanics). Institute for Statics and Dynamics, I. 1978, II. 1981, III. Proceedings in the Journal of Computer Methods in Applied Mechanics and Engineering, Stuttgart.
4 ASCE-ACI Committee 445 on Shear and Torsion (1998), "Recent approaches to shear design of structural concrete. state-of-the-art-report", J. Struct. Eng., ASCE, 124(12), 1375-1417.   DOI
5 Behr, R.A., Minor, J.E. and Norville, H.S. (1993), "Structural behavior of architectural laminated glass", J. Struct. Eng., ASCE, 119(1), 202-222.   DOI
6 Charles, R.J. (1958), "Static fatigue of glass II", J. Appl. Phys., 29(11), 1554-1560.   DOI
7 Felippa C.A. (2009), Introduction to Finite Element Methods (Class notes), http://www.colorado.edu/engineering/CAS/courses.d/IFEM.d/Home.html.
8 Foraboschi, P. (2007), "Behavior and failure strength of laminated glass beams", J. Eng. Mech., ASCE, 12, 1290-1301.
9 Gavanski, E. and Kopp, G.A. (2011), "Glass breakage tests under fluctuating wind loads", J. Arch. Eng., ASCE, 17(1), 34-41.   DOI
10 Himansu, S.P. (1986), "Experimental study of glass plate strength at rapid loading rates", Doctoral Thesis, Texas Tech University.
11 Hooper, J.A. (1973), "On the bending of architectural laminated glass", Int. J. Mech. Sci., 5(4), 309-323.   DOI
12 Minor, J.E. and Norville, H.S. (2006), "Design of window glass for lateral pressures", J. Arch. Eng., ASCE, 12(3), 116-121.   DOI
13 Hooper, P.A., Sukhram, R.A.M., Blackman, B.R.K. and Dear, J.P. (2012), "On the blast resistance of laminated glass", Int. J. Solid. Struct., 49, 899-918.   DOI
14 Iizumi, E. and Kopp, G.A. (2009), "Full-scale tests of glass plate under fluctuating wind loads", Proceedings of the 11th Americas Conference on Wind Engineering, San Juan, Puerto Rico, June.
15 Kotalakidis, K., Papadopoulos, P.G. and Penelis, G. (1999), "Geometric nonlinear static analysis of perimetrically simply supported glass plates under wind loading", Proceedings of the 13th Greek Conference on Concrete, Rethymno Crete, Greece, October. (in Greek)
16 Norville, H.S., Bove, P.M., Sheridan, D.L. and Lawrence, S.L. (1993), "Strength of new heat treated window glass lites and laminated glass units", J. Struct. Eng., ASCE, 119(3), 891-901.   DOI
17 Norville, H.S., King, K.W. and Swofford, J.L. (1998), "Behavior and Strength of laminated glass", J. Eng. Mech., ASCE, 124(1), 46-53.   DOI
18 Pankhardt, K. and Balazs, G.L. (2010), "Temperature dependent load bearing capacity of laminated glass panes", Periodica Polytechnica: Civil Eng., 54(1), 11-22.
19 Norville H.S., Minor J.E. (2000), "Simplified window glass design procedure", J. Arch. Eng., ASCE, 6(4), 105-115.   DOI
20 Pankhardt, K. (2008), "Investigation on load bearing capacity of glass panes", Periodica Polytechnica; Civil Eng., 52(2), 73-82.   DOI
21 Papadopoulos, P.G., Xenidis, H., Plasatis, D., Kiousis, P., Karayannis, C. and Diamantopoulos, A. (2009), "Concrete Stability Achieved by Confinement in a RC Column", Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing, Coordinator B.H.V. Topping, Madeira, Portugal, September.
22 Taylor, R.L. (2011), "FEAP, A finite element analysis program", Department of Civil and Environmental Engineering, University of California at Berkeley, Version 8.3 Edition.
23 Vallabhan, C.V.G. (1983), "Iterative analysis of nonlinear glass plates", J. Struct. Eng., ASCE, 109(2), 489-502.   DOI
24 Vecchio, F.J. and Collins, M.P. (1993), "Compression Response of Cracked Reinforced Concrete", J. Struct. Eng., ASCE, 119(12), 3590-3610.   DOI
25 Vallabhan, C.V.G., Wang, B.Y.T., Chou, G.D. and Minor, J.E. (1985), "Thin glass plates on elastic supports", J. Struct. Eng., ASCE, 111(11), 2416-2426.   DOI
26 Vallabhan, C.V.G. and Chou, G.D. (1986), "Interactive nonlinear analysis of insulating glass units", J. Struct. Eng., ASCE, 112(6), 1313-1326.   DOI
27 Pankhardt, K. (2010), "Load bearing glasses", Doctoral Thesis, Budapest University of Technology and Economics, Faculty of Civil Engineering, Department of Construction Materials and Engineering Geology.
28 Xenidis, H., Morfidis, K. and Papadopoulos, P.G. (2013), "Nonlinear analysis of thin shallow arches subject to snap-through using truss models", Struct. Eng. Mech., 45(4), 521-542.   DOI
29 Vallabhan, C.V.G., Minor, J.E. and Nagalla, S.R. (1987), "Stresses in layered glass units and monolithic glass plates", J. Struct. Eng., ASCE, 113(1), 36-43.   DOI