Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Publicado
A general model for rectangular footings part II: modeling for design
Un modelo general para zapatas rectangulares parte II: modelado para diseño
DOI:
https://doi.org/10.15446/dyna.v89n223.100030Palabras clave:
general model for rectangular footings; modeling for design; rectangular isolated footings; rectangular combined footings (en)modelo general para zapatas rectangulares; modelado para diseño; zapatas aisladas rectangulares; zapatas combinadas rectangulares (es)
Descargas
This paper presents a general model for the design to obtain the thickness and reinforcing steel areas of rectangular footings that support from 1 to “n” columns aligned on a longitudinal axis. The pressure diagram is considered linear. Some recently published papers are restricted to certain types of footings as the rectangular isolated footings, and rectangular combined footings that support two columns. The first part of this paper shows the minimum soil area that supports 1 to “n” columns aligned on a longitudinal axis. Three numerical examples are presented for design of rectangular footings subjected to an axial load and two orthogonal moments in each column that supports one, two and three columns. The main advantage of this document over other documents is: this model can be applied for one or more columns supported on a rectangular footing (unrestricted on its sides, one side restricted and two opposite sides restricted).
Este artículo presenta un modelo general de diseño para obtener el espesor y áreas de acero de refuerzo de zapatas rectangulares que soportan de 1 a “n” columnas alineadas sobre un eje longitudinal. El diagrama de presión se considera lineal. Algunos documentos publicados recientemente están restringidos a ciertos tipos de zapatas como zapatas rectangulares aisladas, y zapatas rectangulares combinadas que sostienen dos columnas. La primera parte de este artículo muestra el área mínima del suelo que soporta de 1 a “n” columnas alineadas en un eje longitudinal. Tres ejemplos numéricos se presentan para el diseño de zapatas rectangulares sometidas a una carga axial y dos momentos ortogonales en cada columna que soporta una, dos y tres columnas. La principal ventaja de este documento sobre otros documentos es: este modelo se puede aplicar para una o más columnas apoyadas en una zapata rectangular (sin restricciones en sus lados, un lado restringido y dos lados opuestos restringidos).
Referencias
Bowles, J.E., Foundation analysis and design. McGraw-Hill, New York, 2001.
Guler, K. and Celep, Z., Response of a rectangular plate-column system on a tensionless Winkler foundation subjected to static and dynamic loads. Structural Engineering and Mechanics, 21(6), pp. 699-712, 2005. DOI: https://doi.org/10.12989/sem.2005.21.6.699
Chen, W-R., Chen, C-S. and Yu, S-Y., Nonlinear vibration of hybrid composite plates on elastic foundations. Structural Engineering and Mechanics, 37(4), pp. 367-383, 2011. DOI: https://doi.org/10.12989/sem.2011.37.4.367
Smith-Pardo, J.P., Performance-based framework for soil-structure systems using simplified rocking foundation models. Structural Engineering and Mechanics, 40(6), pp. 763-782, 2011. DOI: https://doi.org/10.12989/sem.2011.40.6.763
Shahin, M.A. and Cheung, E.M., Stochastic design charts for bearing capacity of strip footings. Geomechanics and Engineering, 3(2), pp. 153-167, 2011. DOI: https://doi.org/10.12989/gae.2011.3.2.153
Zhang, L., Zhao, M.H., Xiao, Y. and Ma, B.H., Nonlinear analysis of finite beam resting on Winkler with consideration of beam-soil interface resistance effect. Structural Engineering and Mechanics, 38(5), pp. 573-592, 2011. DOI: https://doi.org/10.12989/sem.2011.38.5.573
Agrawal, R. and Hora, M.S., Nonlinear interaction behaviour of infilled frame-isolated footings-soil system subjected to seismic loading. Structural Engineering and Mechanics, 44(1), pp. 85-107, 2012. DOI: https://doi.org/10.12989/sem.2012.44.1.085
Rad, A.B., Static response of 2-D functionally graded circular plate with gradient thickness and elastic foundations to compound loads. Structural Engineering and Mechanics, 44(2), pp. 139-161, 2012. DOI: https://doi.org/10.12989/sem.2012.44.2.139
Orbanich, C.J., Dominguez, P.N. and Ortega, N.F., Strenghtening and repair of concrete foundation beams whit fiber composite materials. Materials and Structures, 45, pp. 1693-1704, 2012. DOI: https://doi.org/10.1617/s11527-012-9866-6
Mohamed, F.M.O., Vanapalli, S.K. and Saatcioglu, M. Generalized Schmertmann equation for settlement estimation of shallow footings in saturated and unsaturated sands. Geomechanics and Engineering, 5(4), pp. 363-377, 2013. DOI: https://doi.org/10.12989/gae.2013.5.4.343
Orbanich, C.J. and Ortega, N.F., Analysis of elastic foundation plates with internal and perimetric stiffening beams on elastic foundations by using Finite Differences Method. Structural Engineering and Mechanics, 45(2), pp. 169-182, 2013. DOI: https://doi.org/10.12989/sem.2013.45.2.169.
Luévanos-Rojas, A., Faudoa-Herrera, J.G., Andrade-Vallejo, R.A. and Cano-Alvarez M.A., Design of isolated footings of rectangular form using a new model. International Journal of Innovative Computing, Information and Control, 9(10), pp. 4001-4022, 2013. DOI: http://www.ijicic.org/ijicic-12-10031.pdf
Aristizabal-Ochoa, J.D., Stability of slender columns on an elastic foundation with generalised end conditions. Ingeniería e Investigación, 33(3), pp. 34-40, 2013. DOI: https://doi.org/10.15446/ing.investig.v33n3.41041
Barreto-Maya, A.P., Valencia-González, Y. y Echeverri-Ramírez, O., Evaluación comparativa de la capacidad de carga en cimentaciones profundas. Fórmulas analíticas y ensayos de carga. Boletín Ciencias de la Tierra, 33, pp. 93-110, 2013.
Luévanos-Rojas, A., Design of isolated footings of circular form using a new model. Structural Engineering and Mechanics, 52(4), pp. 767-786, 2014. DOI: https://doi.org/10.12989/sem.2014.52.4.767
Uncuoğlu, E., The bearing capacity of square footings on a sand layer overlying clay. Geomechanics and Engineering, 9(3), pp. 287-311, 2015. DOI: https://doi.org/10.12989/gae.2015.9.3.287
Luévanos-Rojas, A., Design of boundary combined footings of trapezoidal form using a new model. Structural Engineering and Mechanics, 56(5), pp. 745-765, 2015. DOI: https://doi.org/10.12989/sem.2015.56.5.745
Camero, H.E., A novel finite element method for designing floor slabs on grade and pavements with loads at edges. Ingeniería e Investigación, 35(2), pp. 15-22, 2015. DOI: https://doi.org/10.15446/ing.investig.v35n2.45603
Luévanos-Rojas, A., A new model for the design of rectangular combined boundary footings with two restricted opposite sides. Revista ALCONPAT, 6(2), pp. 172-187, 2016. DOI: https://doi.org/10.21041/ra.v6i2.137
Mohebkhah, A., Bearing capacity of strip footings on a stone masonry trench in clay. Geomechanics and Engineering, 13(2), pp. 255-267, 2017. DOI: https://doi.org/10.12989/gae.2017.13.2.255
López-Chavarría, S., Luévanos-Rojas, A. and Medina-Elizondo, M., A new mathematical model for design of square isolated footings for general case. International Journal of Innovative Computing, Information and Control, 13(4), pp. 1149-1168, 2017. DOI: http://www.ijicic.org/ijicic-130406.pdf
Anil, Ö, Akbaş, S.O., BabagĪray, S., Gel, A.C. and Durucan, C., Experimental and finite element analyses of footings of varying shapes on sand. Geomechanics and Engineering, 12(2), pp. 223-238, 2017. DOI: https://doi.org/10.12989/gae.2017.12.2.223
Luévanos-Rojas, A., Barquero-Cabrero, J.D., López-Chavarría, S. and Medina-Elizondo, M., A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models. Coupled Systems Mechanics, 6(4), pp. 417-437, 2017. DOI: https://doi.org/10.12989/csm.2017.6.4.417
Luévanos-Rojas, A., López-Chavarría, S. and Medina-Elizondo, M., A new model for T-shaped combined footings. Part II: mathematical model for design. Geomechanics and Engineering, 14(1), pp. 61-69, 2018. DOI: https://doi.org/10.12989/gae.2018.14.1.061
Yáñez-Palafox, J.A., Luévanos-Rojas, A., López-Chavarría, S. and Medina-Elizondo, M., Modeling for the strap combined footings. Part II: mathematical model for design. Steel Composite Structures, 30(2), pp. 109-121, 2019. DOI: https://doi.org/10.12989/scs.2019.30.2.109
American Concrete Institute. Building Code requirements for structural concrete and commentary. Committee 318. New York, 2019.
Cómo citar
IEEE
ACM
ACS
APA
ABNT
Chicago
Harvard
MLA
Turabian
Vancouver
Descargar cita
Licencia
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-SinDerivadas 4.0.
El autor o autores de un artículo aceptado para publicación en cualquiera de las revistas editadas por la facultad de Minas cederán la totalidad de los derechos patrimoniales a la Universidad Nacional de Colombia de manera gratuita, dentro de los cuáles se incluyen: el derecho a editar, publicar, reproducir y distribuir tanto en medios impresos como digitales, además de incluir en artículo en índices internacionales y/o bases de datos, de igual manera, se faculta a la editorial para utilizar las imágenes, tablas y/o cualquier material gráfico presentado en el artículo para el diseño de carátulas o posters de la misma revista.
