Abstract

MONTES-PARAMO, Pablo et al. Optimal area for rectangular combined footings assuming that the contact surface with the soil works partially to compression. Ing. invest. y tecnol. [online]. 2023, vol.24, n.2.  Epub May 19, 2023. ISSN 2594-0732.  https://doi.org/10.22201/fi.25940732e.2023.24.2.012.

This paper presents a mathematical model to obtain the minimum area of the contact surface with soil (the soil is considered elastic) for rigid rectangular combined footings assuming that the contact surface works partially to compression, i.e., a part of the contact area of the footing is subject to compression and the other there is not pressure (pressure zero). Some papers present the minimum cost (the minimum cost depends on the contact area of the footing with the soil) for design of rectangular combined footings (Velázquez et al., 2018), but the footing area with the soil working completely in compression is considered, and other papers show the equations for the dimensions of the rectangular combined footing partially working to compression, but the moment on the transverse axis is not considered (Luévanos, 2016). The methodology is developed for the five possible cases of footings subjected to biaxial bending, and four possible cases of footings subjected to uniaxial bending (two in the transverse direction and two in the longitudinal direction of the footing), taking into account the geometric properties generated from the diagram of pressures produced by the soil on the footing. Numerical examples are shown to find the minimum area of rectangular combined footings under biaxial and uniaxial bending. The proposed model presents a significant reduction in the minimum contact area on the soil with respect to the model proposed by other authors, if the resultant force is located outside the central nucleus.

Keywords : Minimum area; rectangular combined footings; biaxial bending; uniaxial bending; area works partially under compression.

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