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).
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).
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