Influence of specific weight and wall friction coefficient on normal pressures in silos using the Finite Element Method
DOI:
https://doi.org/10.13083/reveng.v29i1.12336Keywords:
Simulation, Properties of stored products, Jenike Shear Test, Numerical model, maximum normal pressuresAbstract
The objective of this work was to develop models using the Finite Element Method to evaluate the maximum normal pressures in the static condition in silos, varying the specific weight and the friction coefficient of the stored product and later comparison with Eurocode 1, part 4. The models of silos were based on the geometry of the experimental station at the Universidad de Leon (Spain). The material properties were obtained by Jenike shear cell tests and compared with Eurocode pressures. 3D models were generated varying the friction coefficient (0.2, 0.4 and 0.6) and the specific weight (6; 7.5 and 9 kN / m3). It was found that the models correspond to what is expected in view of the theories: normal pressures increase due to the increase in specific weight and decrease due to the increase in the friction coefficient. It was found that the maximum normal pressure occurs at the hopper silo transition. The comparison with Eurocode 1, part 4 made it possible to validate the models developed, presenting values ??close to and lower than those found by the MEF. The influence of the friction coefficient and specific weight (within the range of the main Brazilian agricultural products: corn, soybeans, wheat, rice and feed) significantly interferes with the pressures in slender silos.
Downloads
References
AYUGA, F.; AGUADO, P.; GALLEGO, E.; RAMIREZ, A. Experimental tests to validate numerical models in silos design. 2006 ASABE Annual International Meeting, v. 0300, n. 06, 2006.
BROWN, C. J.; LAHLOUH, E. H.; ROTTER, J. M. Experiments on a square planform steel silo. Chemical Engineering Science, v. 55, n. 20, p. 4399–4413, 2000.
BROWN, C. J.; NIELSEN, J. Silos: Fundamentals of theory, behaviour and design. London: [s.n.].
BYWALSKI, C.; KAMI?SKI, M. A case study of the collapse of the over-chamber reinforced concrete ceiling of a meal silo. Engineering Structures, v. 192, n. March, p. 103–112, 2019.
CALIL, J. C.; CHEUNG, A. B. Silos: pressões, fluxo, recomendações para o projeto e exemplo de cálculo. São Carlos: [s.n.].
CEN. EN 1991-4:2006. Eurocode 1: Actions on Structures. Part 4: Silos and Tanks. Brussels: [s.n.].
CONAB - Companhia Nacional de Abastecimento. Acompanhamento da safra brasileira 2019/2020Acompanhamento da Safra Brasileira de Grãos 2019/2020. [s.l: s.n.]. Disponível em: <https://www.conab.gov.br/info-agro/safras>.
COUTO, A.; RUIZ, A.; AGUADO, P.J. Measuring pressures in a slender cylindrical silo for storing maize. Filling, static state and discharge with different material flow rates and comparison with Eurocode 1 part 4. Computers and Electronics in Agriculture, v. 96, p. 40–56, 2013.
COUTO, A.; RUIZ, A.; AGUADO, P. J. Design and instrumentation of a mid-size test station for measuring static and dynamic pressures in silos under different conditions - Part I: Description. Computers and Electronics in Agriculture, v. 85, p. 164–173, 2012.
DIN. DIN 1055-6: Basis of design and actions on structures – Part 6: design 623 loads for buildings and loads in silo bins. Berlin, Verlaz: 2005
DOGANGUN, A.; KARACA, Z.; DURMUS, A.; SEZEN, H. Cause of damage and failures in silo structures. Journal of Performance of Constructed Facilities, v. 23, n. 2, p. 65–71, 2009.
DPE - DIRETORIA DE PESQUISA E COORDENAÇÃO AGROPECUÁRIA. IBGE - Pesquisa de Estoques 2o semestre de 2019. [s.l: s.n.].
DRUCKER, D. C.; PRAGER, W. Soil mechanics and plastic analysis or limit design. Quart. Appl. Math, v. 10, n. 2, p. 157–165, 1952.
GALLEGO, E.; ROMBACH, G.A.; NEUMANN, F.; AYUGA, F. SIMULATIONS OF GRANULAR FLOW IN SILOS WITH DIFFERENT FINITE ELEMENT PROGRAMS: ANSYS VS. SILO. Transactions of the ASABE, v. 53, n. 3, p. 819–829, 2010.
GALLEGO, E.; RUIZ, A.; AGUADO, P. J. Simulation of silo filling and discharge using ANSYS and comparison with experimental data. Computers and Electronics in Agriculture, v. 118, p. 281–289, 2015.
GANDIA, R.M.; GOMES, F.C.; PAULA, W.C. DE, JUNIOR; E.A. DE O.; RODRIGUEZ, P.J.A. Static and dynamic pressure measurements of maize grain in silos under different conditions. Biosystems Engineering, v. 209, p. 180–199, 2021.
GUTIÉRREZ, G.; COLONNELLO, C.; BOLTENHAGEN, P.; DARIAS, J.R.; PERALTA-FABI, R.; BRAU, F.; CLÉMENT, E. Silo collapse under granular discharge. Physical Review Letters, v. 114, n. 1, p. 5–9, 2015.
HÄRTL, J.; OOI, J.Y.; ROTTER, J.M.; WOJCIK, M.; DING, S.; ENSTAD, G.G. The influence of a cone-in-cone insert on flow pattern and wall pressure in a full-scale silo. Chemical Engineering Research and Design, v. 86, n. 4, p. 370–378, 2008.
HOLST, J.M.F.G.; OOI, J.Y.; ROTTER, J.M.; RONG, G.H. Numerical Modeling of Silo Filling. I: Continuum Analyses. Journal of Engineering Mechanics, v. 125, n. 1, p. 94–103, 1999.
INTERNACIONAL ORGANIZATION FOR STANDARDIZATION. ISO 11697:2012. Bases for design of strutures - Loads due to bulk materials. [s.l: s.n.].
JANSSEN, H. A. Versuche uber getreidedruck in silozellen. Z. Ver. Dtsch. Ing, v. 39, n. 35, p. 1045–1049, 1895.
JENIKE, A. W.; JOHANSON, J. R.; CARSON, J. W. Bin loads—part 3: mass-flow bins. Journal of Manufacturing Science and Engineering, Transactions of the ASME, v. 95, n. 1, p. 6–12, 1973.
MOYA, M.; AYUGA, F.; GUAITA, M.; AGUADO, P. MECHANICAL PROPERTIES OF GRANULAR AGRICULTURAL MATERIALS. Transactions of the ASABE, v. 45, n. 5, p. 1569–1577, 2002.
MOYA, M.; GUAITA, M.; AGUADO, P.; AYUGA, F. MECHANICAL PROPERTIES OF GRANULAR AGRICULTURAL MATERIALS, PART 2. Transactions of the ASABE, v. 49, n. 1998, p. 479–490, 2006.
NETO, J. P. L.; NASCIMENTO, J. W. B. DO; SILVA, R. C. FORÇAS DE ATRITO EM SILOS VERTICAIS DE PAREDES LISAS EM DIFERENTES RELAÇÕES ALTURA/DIÂMETRO. Eng. Agríc., Jaboticabal, v. 34, n. 1, p. 8–16, 2014.
PARDIKAR, K.; ZAHID, S.; WASSGREN, C. Quantitative comparison of experimental and Mohr-Coulomb finite element method simulation flow characteristics from quasi two-dimensional flat-bottomed bins. Powder Technology, v. 367, p. 689–702, 2020.
RAMÍREZ, A.; NIELSEN, J.; AYUGA, F. On the use of plate-type normal pressure cells in silos. Part 1: Calibration and evaluation. Computers and Electronics in Agriculture, v. 71, n. 1, p. 71–76, 2010.
RUIZ, A.; COUTO, A.; AGUADO, P. J. Design and instrumentation of a mid-size test station for measuring static and dynamic pressures in silos under different conditions - Part II: Construction and validation. Computers and Electronics in Agriculture, v. 85, p. 174–187, 2012.
SCHURICHT, T.; FURLL, C.; EENSTAD, G. G. Full scale silo tests and numerical simulations of the „cone in cone” concept for mass flow. In: Handbook of Powder Technology. [s.l.] Elsevier Science BV, 2001. v. 10p. 175–180.
SCHWAB, C. V.; ROSS, I.J.; WHITE, G.M.; COLLIVER, D.G. WHEAT LOADS AND VERTICAL PRESSURE. v. 37, n. 5, p. 1613–1619, 1994.
SUN, W.; ZHU, J.; ZHANG, X.; WANG, C.; WANG, L.; FENG, J. Multi-scale experimental study on filling and discharge of squat silos with aboveground conveying channels. Journal of Stored Products Research, v. 88, p. 101679, 2020.
SUN, Y.; WANG, Y. Collapse reasons analysis of a large steel silo. Advanced Materials Research, v. 368–373, p. 647–650, 2012.
TENG, B. J. PLASTIC COLLAPSE AT LAP JOINTS IN PRESSURIZED CYLINDERS UNDER AXIAL LOAD. v. 120, n. 1, p. 23–45, 1994.
TENG, J. G.; LIN, X. Fabrication of small models of large cylinders with extensive welding for buckling experiments. Thin-Walled Structures, v. 43, n. 7, p. 1091–1114, 2005.
TENG, J. G.; ROTTER, J. M. Plastic collapse of restrained steel silo hoppers. Journal of Constructional Steel Research, v. 14, n. 2, p. 139–158, 1989.
TENG, J. G.; ZHAO, Y.; LAM, L. Techniques for buckling experiments on steel silo transition junctions. Thin-Walled Structures, v. 39, n. 8, p. 685–707, 2001.
TENG, J.; ROTTER, J. M. Collapse Behavior and Strength of Steel Silo Transition Junctions. Part I: Collapse Mechanics. Journal of Structural Engineering, v. 117, n. 12, p. 3587–3604, 1991.
WALKER, D. An approximate theory for pressures and arching in hoppers. Chemical Engineering Science, v. 22, n. 3, p. 486, 1967.
WALTERS, J. K. A theoretical analysis of stresses in axially-symmetric hoppers and bunkers. Chemical Engineering Science, v. 28, n. 3, p. 779–789, 1973a.
WALTERS, J. K. A theoretical analysis of stresses in silos with vertical walls. ChemicalEngineering Science, v. 28, p. 13–21, 1973b.
ZHAO, Q.; JOFRIET, J. C. Structural loads on bunker silo walls: Numerical study. Journal of Agricultural Engineering Research, v. 51, n. C, p. 1–13, 1992.
ZHAO, Y.; TENG, J. G. Buckling experiments on steel silo transition junctions. II: Finite element modeling. Journal of Constructional Steel Research, v. 60, n. 12, p. 1803–1823, 2004.
ZHONG, Z.; OOI, J. Y.; ROTTER, J. M. The sensitivity of silo flow and wall stresses to filling method. Engineering Structures, v. 23, n. 7, p. 756–767, 2001.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Revista Engenharia na Agricultura - Reveng
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish with this journal agree to the following terms:
The author(s) authorize(s) the publication of the text in the journal;
The author(s) ensure(s) that the contribution is original and unpublished and that it is not in the process of evaluation by another journal;
The journal is not responsible for the views, ideas and concepts presented in articles, and these are the sole responsibility of the author(s);
The publishers reserve the right to make textual adjustments and adapt texts to meet with publication standards.
From submission, the author is fully conceding the paper's patrimonial rights to the publication, but retaining the owner of its moral rights (authorship and paper's identification) according to Creative Commons Attribution-Noncommercial.