Evaluation of the excentricity effect between the medium plan of the plate and the longitudinal axis of the beam in the analysis of a usual floor building in reinforced concrete

Authors

DOI:

https://doi.org/10.5216/reec.v18i1.62439

Keywords:

Reinforced concrete floor, Structural analysis, Beam-plate eccentricity, Shear deformation, Shear deformation; Finite Element Method

Abstract

ABSTRACT: The development of science and the availability of technological resources allow us to model the behavior of structures in a more precise and realistic way. Within this context, with the increase in the processing capacity of computers and the improvement of modeling techniques, numerical simulations represent an attractive alternative for Structural Engineering. In this sense, the present work aims to analyze the influence of the eccentricity between the middle plane of the plate (slab) and the longitudinal axis of the beam in a usual reinforced concrete floor. For that, numerical simulations are carried out based on the Finite Element Method (FEM) with the ANSYS® software version 19.2. Even in the modeling of the structure, finite elements are used that allow the consideration of the effects of shear force deformation. In order to better study the effect of eccentricity, which is commonly disregarded in the simplified models used for floor analysis, different mechanical models are considered in the analyzes and the results are compared (displacements, stresses and internal forces). It is evident that the consideration of the eccentricity influences the response of the structure. The results obtained contribute in order to provide subsidies for designers to model more consistently the behavior of reinforced concrete structures.

Downloads

Download data is not yet available.

Author Biographies

Wanderson Ferreira dos Santos, Universidade de São Paulo (USP) - Escola de Engenharia de São Carlos (EESC), São Carlos, São Paulo, Brasil

Graduated in Civil Engineering from the Federal University of Goiás. He developed Scientific Initiation with remuneration by the National Council for Scientific and Technological Development (CNPq) for 3 years between 2015 and 2017. He has knowledge about constitutive models, nonlinear analysis of structures and multi-model scale focused on the study of porous materials using the Theory of Plasticity and Micromechanics. Currently a master's student at the São Carlos School of Engineering, University of São Paulo (CAPES 7 concept).

Welington Hilario Vieira, Universidade de São Paulo (USP), Escola de Engenharia de São Carlos (EESC), São Carlos, São Paulo, Brasil

He is currently doing a Master's degree in Structural Engineering at the University of São Paulo (2019 - expected to end in 2021). He was an engineering intern for one year, having contact with technological control of civil construction materials and soils, inspection of works, budgeting and structural design. He was a PIBIC-FAPEMIG scholarship holder in the area of Wood Structures, researching the stiffening of plywood sheets for use in the formwork system for molding concrete.

João Batista de Paiva, Universidade de São Paulo (USP), Escola de Engenharia de São Carlos (EESC), São Carlos, São Paulo, Brasil

Graduated in Civil Engineering from the University of São Paulo (1976), Master in Civil Engineering São Carlos from the University of São Paulo (1980) and Doctorate in Civil Engineering São Carlos from the University of São Paulo (1987) and Post-doctorate at the University of Southampton , England (1991 and 1992). He is currently prof. Professor at the University of São Paulo. He has experience in the field of Civil Engineering, with an emphasis on Structural Mechanics, working mainly on the following themes: method of boundary elements, method of finite elements, soil-structure interaction, plate-beam interaction and building floors.

References

ARAÚJO, J. M. Avaliação dos métodos simplificados para cálculo de lajes maciças apoiadas em vigas flexíveis. Teoria e Prática na Engenharia Civil. Vol. 12, 2008, 1-11 p.

ASSOCIAÇÃO BRASILEIRA DE NORMAS TÉCNICAS (ABNT). NBR 6118: Projeto de estruturas de concreto - Procedimento. Rio de Janeiro, 2014.

______ NBR 6120: Cargas para o cálculo de estruturas de edificações. Rio de Janeiro, 1980.

DIAS, R. H. Análise numérica de pavimentos de edifícios em lajes nervuradas. Dissertação (Mestrado em Engenharia de Estruturas) – Escola de Engenharia de São Carlos/Universidade de São Paulo, EESC-USP. São Carlos, SP, 2003, 455 p.

FALSONE, G.; SETTINERI, D. An Euler–Bernoulli-like finite element method for Timoshenko beams. Mechanics Research Communications. Vol. 38, 2011, 12-16 p.

HARIK, I. E.; GUO, M. Finite Element Analysis of Eccentrically Stiffened Paltes in Free Vibration. Computer and Structures. Vol. 49, 1993, 1007-1015 p.

KIKIS, G.; DORNISCH, W.; KLINKEL, S. Adjusted approximation spaces for the treatment of transverse shear locking in isogeometric Reissner-Mindlin shell analysis. Computer Methods in Applied Mechanics and Engineering, Vol. 354, 2019, 850-870 p.

LIU, J.; FEI, Q.; JIANG, D.; ZHANG, D.; WU, S. Experimental and numerical investigation on static and dynamic characteristics for curvilinearly stiffened plates using DST – BK model. International Journal of Mechanical Sciences, Vol. 169, 2020, 11 p.

MILLER, R. E. Reduction of error in eccentric beam modelling. International Journal for Numerical Methods in Enineering. Vol. 15, 1980, 575-582 p.

MINDLIN, R. Influence of rotatory inertia and shear in flexural motions of isotropic, elastic plates. Journal of Applied Mechanics. Vol. 18, 1951, 31-38 p.

OTA, N. S. N. Nonlinear dynamic analysis of creased shells. Finite Elements in Analysis and Design. Vol. 121, 2016, 64–74 p.

RECALDE, B. R. B.; GASTAL, F. P. S. L.; BESSA, V. R. D.; SCHWETZ, P. F. Análise numérica de flexão em lajes nervuradas com a consideração dos efeitos de fissuração no concreto. Revista IBRACON de Estruturas e Materiais, Vol. 8, n. 2, 2015, 225-247 p.

REISSNER, E. The effect of transverse shear deformation on the bending of elastic plates. Journal of Applied Mechanics. Vol. 12, 1945, 69-76 p.

ROSSOW, M. P.; IBRAHIMKHAIL, A. K. 1978. Constraint Method Analysis of Stiffened Plates. Computers & Structures. Vol. 8, 1978, 51-60 p.

SALOMÃO, Í. L.; VELASCO, V. L. S.; SOTELINO, E. D. Análise numérica da eficiência de lajes nervuradas tridirecionais. Revista CIATEC –UPF. Vol. 7, n. 2, 2015, 1-17 p.

SILVA, H. B. S. Análise numérica da influência da excentricidade na ligação placa-viga em pavimentos usuais de edifícios. Dissertação (Mestrado em Engenharia de Estruturas) – Escola de Engenharia de São Carlos da Universidade de São Paulo, EESC-USP. São Carlos, SP, 2010, 195 p.

TANAKA, M.; BERCIN, A. N. Static bending analysis of stiffened plates using the boundary element method. Engineering Analysis with Boundary Elements. Vol. 21, 1998, 147-154 p.

TIMOSHENKO, S. P. On the correction factor for shear of the differential equation for transverse vibrations of bars of uniform cross-section. Philosophical Magazine. Vol. 41, 1921, 744-746 p.

WAN, C.; AUDI, C.; SASANI, M. Modeling floor systems for collapse analysis. Engineering Structures. Vol. 127, 2016, 278-286 p.

ZHANG, S.; XU, L. Exact static analysis of eccentrically stiffened plates with partial composite action. Composite Structures. Vol. 198, 2018, 117-125 p.

Published

2022-05-24

How to Cite

FERREIRA DOS SANTOS, W.; HILARIO VIEIRA, W.; BATISTA DE PAIVA, J. Evaluation of the excentricity effect between the medium plan of the plate and the longitudinal axis of the beam in the analysis of a usual floor building in reinforced concrete. REEC - Revista Eletrônica de Engenharia Civil, Goiânia, v. 18, n. 1, 2022. DOI: 10.5216/reec.v18i1.62439. Disponível em: https://revistas.ufg.br/reec/article/view/62439. Acesso em: 27 jul. 2024.