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A general model for rectangular footings part I: optimal surface
Un modelo general para zapatas rectangulares parte I: superficie óptima
DOI:
https://doi.org/10.15446/dyna.v89n221.100028Palabras clave:
General model for rectangular footings, optimal surface, rectangular isolated footings, rectangular combined footings, minimum contact area (en)Modelo general para zapatas rectangulares, superficie óptima, zapatas aisladas rectangulares, zapatas combinadas rectangulares, área mínima de contacto (es)
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This paper shows a general model of rectangular footings to obtain the soil minimum contact area (optimal surface) that support from 1 to n columns aligned on a longitudinal axis. The proposed model considers that the soil pressure varies linearly. The recently published models have been presented individually to obtain the soil contact area for rectangular isolated footings, rectangular combined footings that support two columns, these models present the equations, but it is not guaranteed to be the minimum area. The present research complies with the models mentioned above and can be applied to footings that support 3 or more columns, and also the minimum area is guaranteed. Also, numerical problems are shown the soil minimum contact surface for rectangular isolated footings, and rectangular combined footings that support two and three columns (unrestricted on its sides, one side restricted and two opposite sides restricted).
Este trabajo muestra un modelo general de zapatas rectangulares para obtener el área mínima de contacto del suelo (superficie óptima) que soportan de 1 a “n” columnas alineadas en un eje longitudinal. El modelo propuesto considera que la presión del suelo varía linealmente. Los modelos recientemente publicados se han presentado individualmente para obtener el área de contacto con el suelo para zapatas aisladas rectangulares, zapatas combinadas rectangulares que soportan dos columnas, estos modelos presentan las ecuaciones, pero no se garantiza que sea el área mínima. La presente investigación cumple con los modelos mencionados anteriormente y se puede aplicar a zapatas que soportan 3 o más columnas, además se garantiza el área mínima. Además, se muestran problemas numéricos de la superficie mínima de contacto con el suelo para zapatas aisladas rectangulares y zapatas combinadas rectangulares que soportan dos y tres columnas (sin restricciones en sus lados, un lado restringido y dos lados opuestos restringidos).
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