An analytical model for the design of corner combined footings

  • Arnulfo Luevanos Rojas Universidad Autónoma de Coahuila http://orcid.org/0000-0002-0198-3614
  • Sandra Lopez Chavarria Universidad Autónoma de Coahuila
  • Manuel Medina Elizondo Universidad Autónoma de Coahuila
  • Ricardo Sandoval Rivas Universidad Autónoma de Coahuila
  • Oscar Mario Farias Montemayor Universidad Autónoma de Coahuila
DOI: https://doi.org/10.21041/ra.v10i3.432
Keywords: corner combined footings, analytical model for design, flexural moments, flexural shearing, punching shearing

Abstract

This work shows an analytical model for the design of corner combined footings subjected to an axial load and two orthogonal flexural moments per each column. It considers the real pressure on the ground below of the footing, and the methodology is based on the principle that the integration of the shear force is the moment. The current design considers the maximum pressure at all contact points. This model is verified by equilibrium of shear forces and moments. The application of the model is presented by means of a numerical example. Therefore, the proposed model is the most appropriated, because it generates better quality control in the resources used.

Downloads

Download data is not yet available.

Author Biography

Arnulfo Luevanos Rojas, Universidad Autónoma de Coahuila

Instituto de Investigaciones Multidisciplinarias, Universidad Autónoma de Coahuila

References

Abdrabbo, F., Mahmoud, Z. I. and Ebrahim, M. (2016), Structural design of isolated column footings. Alexandria Engineering Journal. 55(3):2665-2678. https://doi.org/10.1016/j.aej.2016.06.016

ACI 318S-14 (2014), “Building Code Requirements for Structural Concrete and Commentary, Committee 318â€, New York, USA.

Anil, Ö, Akbaş, S.O., BabagĪray, S., Gel, A.C. and Durucan, C. (2017), Experimental and finite element analyses of footings of varying shapes on sand. Geomechanics and Engineering. 12(2):223-238. https://doi.org/10.12989/gae.2017.12.2.223

Aydogdu, I. (2016), New Iterative method to Calculate Base Stress of Footings under Biaxial Bending. International Journal of Engineering & Applied Sciences (IJEAS). 8(4):40-48. https://doi.org/10.24107/ijeas.281460

Balachandar, S. and Narendra Prasad, D. (2017), Analysis and Design of Various Types of Isolated Footings. International Journal of Innovative Research in Science, Engineering and Technology. 6(3):3980-3986. http://www.ijirset.com/upload/2017/march/173_balachandar%20pmu.pdf

Bowles, J. E. (2001), “Foundation analysis and designâ€. McGraw-Hill, New York, USA.

Chen, W-R., Chen, C-S and Yu, S-Y. (2011), Nonlinear vibration of hybrid composite plates on elastic foundations. Structural Engineering & Mechanics. 37(4):367-383. https://doi.org/10.12989/sem.2011.37.4.367

Das, B.M., Sordo-Zabay, E., Arrioja-Juarez, R. (2006), “Principios de ingeniería de cimentacionesâ€, Cengage Learning Latín América, Distrito Federal, México.

Dezhkam, B. and Yaghfoori, A. (2018), Soil foundation effect on the vibration response of concrete foundations using mathematical model. Computers and Concrete. 22(2):221-225. https://doi.org/10.12989/cac.2018.22.2.221

El-kady, M. S. and Badrawi, E. F. (2017), Performance of isolated and folded footings. Journal of Computational Design and Engineering. 4:150-157. https://doi.org/10.1016/j.jcde.2016.09.001

Sawwaf, M. and Nazir, A. K. (2010), Behavior of repeatedly loaded rectangular footings resting on reinforced sand. Alexandria Engineering Journal. 49:349-356. https://doi.org/10.1016/j.aej.2010.07.002

Fillo, L., Augustin, T. and Knapcová, V. (2016), Influence of footings stiffness on punching resistance. Perspectives in Science. 7:204-207. https://doi.org/10.1016/j.pisc.2015.11.034

Ibrahim, A., Dif, A. and Othman, W. (2018), Nonlinearity analysis in studying shallow grid foundation. Alexandria Engineering Journal. 57:859-866. https://doi.org/10.1016/j.aej.2016.11.021

Khajehzadeh, M., Taha, M. R., El-Shafie, A. and Eslami, M. (2011), Modified particle swarm optimization for optimum design of spread footing and retaining wall. Journal of Zhejiang University-SCIENCE A. 12(6):415-427. https://link.springer.com/article/10.1631/jzus.A1000252

Kurian, N. P. (2005), “Design of foundation systemsâ€, Alpha Science Int'l Ltd., New Delhi, India.

López-Chavarría, S., Luévanos Rojas, A. and Medina Elizondo, M. (2017), Optimal dimensioning for the corner combined footings. Advances in Computational Design. 2(2):169-183. https://doi.org/10.12989/acd.2017.2.2.169

Luévanos-Rojas, A., Faudoa-Herrera, J. G., Andrade-Vallejo, R. A. and Cano-Alvarez M. A. (2013), Design of Isolated Footings of Rectangular Form Using a New Model. International Journal of Innovative Computing, Information and Control. 9(10):4001-4022. http://www.ijicic.org/ijicic-12-10031.pdf

Luévanos-Rojas, A. (2014a), Design of isolated footings of circular form using a new model. Structural Engineering and Mechanics. 52(4):767-786. https://doi.org/10.12989/sem.2014.52.4.767

Luévanos-Rojas, A. (2014b), Design of boundary combined footings of rectangular shape using a new model. Dyna-Colombia. 81(188):199-208. http://dx.doi.org/10.15446/dyna.v81n188.41800

Luévanos-Rojas, A. (2015), Design of boundary combined footings of trapezoidal form using a new model. Structural Engineering and Mechanics. 56(5):745-765. https://doi.org/10.12989/sem.2015.56.5.745

Luévanos-Rojas, A. (2016a), A comparative study for the design of rectangular and circular isolated footings using new models. Dyna-Colombia. 83(196):149-158. http://dx.doi.org/10.15446/dyna.v83n196.51056

Luévanos-Rojas, A. (2016b), A new model for the design of rectangular combined boundary footings with two restricted opposite sides. Revista ALCONPAT. 6(2):172-187. https://doi.org/10.21041/ra.v6i2.137

Luévanos-Rojas, A., López-Chavarría, S. and Medina-Elizondo, M. (2017a), Optimal design for rectangular isolated footings using the real soil pressure. Ingeniería e Investigación. 37(2):25-33. http://dx.doi.org/10.15446/ing.investig.v37n2.61447

Luévanos-Rojas, A., Barquero-Cabrero, J. D., López-Chavarría, S. and Medina-Elizondo, M. (2017b), A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models. Coupled Systems Mechanics. 6(4):417-437. https://doi.org/10.12989/csm.2017.6.4.417

Luévanos-Rojas, A., López-Chavarría, S. & Medina-Elizondo, M. (2018), A new model for T-shaped combined footings Part II: Mathematical model for design. Geomechanics and Engineering. 14(1):61-69. https://doi.org/10.12989/gae.2018.14.1.061

Magade, S. B. and Ingle, R. K. (2019), Numerical method for analysis and design of isolated square footing under concentric loading. International Journal of Advanced Structural Engineering. 11:9-20. https://doi.org/10.1007/s40091-018-0211-3

Punmia, B. C., Kumar-Jain, A., Kumar-Jain, A. (2007), “Limit state design of reinforced concreteâ€, Laxmi Publications (P) Limited, New Delhi, India.

Santos, D. F. A., Lima Neto, A. F. and Ferreira, M. P. (2018), Punching shear resistance of reinforced concrete footings: evaluation of design codes. IBRACON Structures and Materials Journal. 11(2):432-454. https://doi.org/10.1590/s1983-41952018000200011

Shahin M. A. and Cheung E. M. (2011), Stochastic design charts for bearing capacity of strip footings. Geomechanics and Engineering. 3(2):153-167. http://hdl.handle.net/20.500.11937/6498

Tahmasebi poor, A., Barari, M., Behnia, M. and Najafi, T. (2015), Determination of the ultimate limit states of shallow foundations using gene expression programming (GEP) approach. Soils and Foundations. 55(3):650-659. https://doi.org/10.1016/j.sandf.2015.04.015

Varghese, P. C. (2009), “Design of reinforced concrete foundationsâ€, PHI Learning Pvt. Ltd., New Delhi, India.

Yáñez-Palafox, J.A., Luévanos-Rojas, A., López-Chavarría, S. and Medina-Elizondo, M. (2019), Modeling for the strap combined footings Part II: Mathematical model for design. Steel and Composite Structures. 30(2):109-121. https://doi.org/10.12989/scs.2019.30.2.109

Published
2020-09-01
How to Cite
Luevanos Rojas, A., Lopez Chavarria, S., Medina Elizondo, M., Sandoval Rivas, R., & Farias Montemayor, O. M. (2020). An analytical model for the design of corner combined footings. Revista ALCONPAT, 10(3), 317 - 335. https://doi.org/10.21041/ra.v10i3.432
Issue
Vol. 10 No. 3 (2020): Volume 10, Issue 3, 2020
Section
Basic Research

_______________________________

License in effect from September 2020

You are free to:

  1. Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
  2. Adapt — remix, transform, and build upon the material for any purpose, even commercially.
  3. The licensor cannot revoke these freedoms as long as you follow the license terms.

Under the following terms:

  1. Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  2. No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Notices:

You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .

No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.