Published
Optimal design for rectangular isolated footings using the real soil pressure
Diseño óptimo para zapatas aisladas rectangulares usando la presión real del suelo
DOI:
https://doi.org/10.15446/ing.investig.v37n2.61447Keywords:
optimal design, reinforced concrete rectangular footings, minimum cost design, moments, bending shear, punching shear (en)Diseño óptimo, zapatas rectangulares de concreto reforzado, diseño de costo mínimo, momentos, cortante por flexión, cortante por punzonamiento (es)
The standard design method (classical method) for reinforced concrete rectangular footings is: First, a dimension is proposed and should comply with the allowable stresses; subsequently, the effective depth is obtained from the maximum moment and is checked against the bending shear and the punching shear until, it complies with these conditions and, then, steel reinforcement is obtained, but it is not guarantee that the minimum cost will be obtained. This paper shows an optimal design for reinforced concrete rectangular footings using the new model. A numerical experimentation is presented to show the model capability to estimate the minimum cost design of the materials used for a rectangular footing that supports an axial load and moments in two directions in accordance to the building code requirements for structural concrete and commentary (ACI 318-13). Also, a comparison is made between the optimal design and current design for rectangular footings. The solutions show that the optimal design is more economical and more precise with respect to the current design, because standard design is done by trial and error. Then, the optimal design should be used to obtain the minimum cost design for reinforced concrete rectangular footings.
El método clásico de diseño estándar para zapatas rectangulares de concreto reforzado es: Primero, se propone una dimensión que cumpla con los esfuerzos admisibles; posteriormente, la profundidad efectiva se obtiene a partir del momento máximo y se comprueba con el cortante por flexión y el cortante por punzonamiento hasta que cumpla con estas condiciones y, luego, se obtiene el refuerzo de acero, aunque no se garantiza que se obtendrá el costo mínimo. Este trabajo muestra un diseño óptimo para zapatas rectangulares de concreto reforzado utilizando el nuevo modelo. Una experimentación numérica se presenta para mostrar la capacidad del modelo para estimar el diseño de costo mínimo de los materiales utilizados para una zapata rectangular que soporta una carga axial y momentos en dos direcciones, de acuerdo con los requisitos del código de construcción para concreto estructural y comentarios (ACI 318-13). Además, se hace una comparación entre el diseño óptimo y el diseño actual de zapatas rectangulares. Las soluciones muestran que el diseño óptimo es más económico y más preciso con respecto al diseño actual, ya que este último se realiza a través de ensayo y error. De este modo, el diseño óptimo se debe utilizar para obtener el diseño de costo mínimo para zapatas rectangulares de concreto reforzado.
References
ACI 318-13 (American Concrete Institute) (2013). Building Code Requirements for Structural Concrete and Commentary. Committee 318, New York.
Al-Ansari, M. S. (2013). Structural Cost of Optimized Reinforced Concrete Isolated Footing. International Scholarly and Scientific Research & Innovation, 7(4), 193-200.
Bhalchandra, S. A., & Adsul, P. K. (2012). Cost Optimization of Doubly Reinforced Rectangular Beam Section. International Journal of Modern Engineering Research, 2(5), 3939- 3942.
Das, B. M., Sordo-Zabay, E., & Arrioja-Juárez, R. (2006). Principios de ingeniería de cimentaciones. Mexico: Cengage Learning Latín América.
Ha, T. (1993). Optimum Design of Unstiffened Built-up Girders. Journal of Structural Engineering-ASCE, 119(9), 2784- 2792.
Hans, G. (1985). Flexural Limit Design of Column Footing. Journal of Structural Engineering-ASCE, 111(11), 2273- 2287.
Jiang, D. (1983). Flexural Strength of Square Spread Footing. Journal of Structural Engineering-ASCE, 109(8), 1812- 1819.
Jiang, D. (1984). Closure to “Flexural Strength of Square Spread Footing” by Da Hua Jiang (August, 1983). Journal of Structural Engineering-ASCE, 110(8), 1926-1926.
Khajehzadeh, M., Taha M. R., & Eslami, M. (2014). Multi-objective Optimization of foundation using global-local gravitational search algorithm. Structural Engineering and Mechanics, 50(3), 257-273.
Luévanos-Rojas, A. (2013). A Mathematical Model for Dimensioning of Footings Rectangular. ICIC Express Letters Part B: Applications, 4(2), 269-274.
Luévanos-Rojas, A., Faudoa-Herrera, J. G., Andrade-Vallejo, R. A., & 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.
Luévanos-Rojas, A. (2016a). Numerical experimentation for the optimal design of reinforced rectangular concrete beams for singly reinforced sections. Dyna, 83(196), 134- 142.
Luévanos-Rojas, A. (2016b). A comparative study for the design of rectangular and circular isolated footings using new models. Dyna, 83(196), 149-158.
Quimby, T. B. (2012), A Beginner’s Guide to the Structural Engineering, Quimby & Associates Consulting Engineers.
Wang, Y., & Kulhawy, F. H. (2008). Economic Design Optimization of Foundation. Journal of Geotechnical and Geoenvironmental Engineering-ASCE, 134(8), 1097-1105.
Wang, Y. (2009). Reliability-Based Economic Design Optimization of Spread Foundation. Journal of Geotechnical and Geoenvironmental Engineering-ASCE, 135(7), 954-959.
Dimensions
PlumX
Article abstract page views
Downloads
How to Cite
License
Copyright (c) 2017 Arnulfo Luévanos Rojas, S López Chavarría, M Medina Elizondo
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.
