Method of break lines through the finite element method. Applications with SAP2000José
DOI:
https://doi.org/10.20868/ade.2023.5380Keywords:
Breaking line method, SAP2000 examples, FEMAbstract
This paper shows how the method of break lines has evolved over the years. Nowadays, with computers, coloured contours can be used to obtain results very similar to the old break lines, but the field of applications has been opened, especially in reinforced concrete slabs. The SAP2000 finite element programme with all its computer equipment was used for this purpose. In addition, it constitutes the theoretical basis of a thesis that the authors are developing, but in this case with slabs supported on the ground.
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References
1. FEMA 356, Prestandard and commentary for the seismic rehabilitation of buildings, Federal Emergency Management Agency, Washington D.C., November 2000
2. M.Gilbert, L. He, C.C. Smith, C.V. Le, automatic yield lineanalysis of slabs using discontinuity layout optimization,DOI: 10.1098/rspa.2014.0071, Proceedings of the RoyalSociety, 2014
3. E. Hognestad, yield line theory for the ultimate flexural strength of reinforced concrete slabs, vol 24, nº 7, ACI Journal, pp.637-656, 1953
4. A.Ingerslev, the strength of rectangular slabs, vol1, nº1, journalInstit. Struct. Enginners, p.p. 3-14, 1923
5. G.Kennedy, C.H. Goodchild, Practical Yield line design,Concrete Centre, Surrey, 2004
6. G.G. Meyerfof, Load carrying capacity of concrete pavements, Journal of the Soil Mechanics and Foundation Division, Proceedings of the American Society of Civil Engineers, June 1962.
7. A.H, Nilson, G. Winter Diseño de estructuras de concreto,úndecima edición, capítulo 14º Analisis de losas mediantelíneas de fluencia ed., Mc Graw Hill, Santafé de Bogotá(Colombia) , 1994, p.p. 435- 456.
8. R.Park, W.L. Gamble, Losas de concreto reforzado, Base de lateoría de la línea de fluencia, capítulo 7º, Editorial Limusa,1987 p.p. 315-377.
9. F.Stochino, F. López Gayarre, Reinforced Concrete SlabOptimization with Simulated Annealing, DOI:10.3390/app9153161, Applied Sciences, MPDI, 2019
10. H.A. Tinoco, numerical limit analysis of reinforced concrete slabs using a dual approach and conic programming, Structural Multidisc Optim, 2017, DOI10.1007/s00158-016-1582-3, Springer, 2017
11. Wilson E.L. Integrated structural analysis and design software SAP2000. Computers and Structures, Inc. Berkeley, California. http://www.csiamerica.com , 2009 (continuously accessed)
12. Y.Zhu, Y.X. Zhang, Nonlinear finite element analyses of FRP-reinforced concrete slabs using a new layered compositeplate element, DOI 10.1007/s00466-010-0485-1, ComputerMechanics, Springer, 2010
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