journal article·2024-07-24Open access

Optimal Area for a Rectangular Isolated Footing with an Eccentric Column and Partial Ground Compression

Victor Manuel Moreno-Landeros, Arnulfo Luévanos-Rojas, Griselda Santiago-Hurtado, Luis Daimir López-León, Eyran Roberto Diaz-Gurrola

Applied Sciences· Volume 14· Issue 15

Abstract

This manuscript aims to present a novel model to find the optimal area of a rectangular isolated footing with an eccentric column, taking into account that the footing is partially supported; that is, one part of the contact surface is compressed and the other part has zero pressure. The methodology is developed by integration and can also be verified using the geometric properties of a triangular-based pyramid to determine the axial load, the moments in the X and Y axes in terms of the available allowable soil pressure, the footing sides, the greatest distance on one of its sides in the X-direction where it crosses the neutral axis, the greatest distance on one of its sides in the Y-direction where it crosses the neutral axis, and the coordinates at the base of the footing. Four types of numerical problems are shown to find the optimal area of a rectangular footing with an eccentric column subjected to biaxial bending: (1) the column in the center of the footing; (2) the column on the edge of the footing in the X-direction; (3) the column on the edge of the footing in the Y-direction; and (4) the column in the corner of the footing. A comparison is presented of the new model against a model proposed by another author. The new model presents a reduction of up to 42.37% for the column in the center of the footing and up to 40.32% for the column in the corner of the footing compared to the model by the other authors. Therefore, the new model will be of great help to professionals in foundation design.
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Research context

OpenAlex topics: Geotechnical Engineering and Underground Structures · Geotechnical Engineering and Soil Stabilization · Geotechnical Engineering and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Instituto de Investigaciones Multidisciplinaria, Universidad Autónoma de Coahuila, Blvd. Revolución No, 151 Ote, Torreón 27000, Coahuila, Mexico

Facultad de Ingeniería Civil, Universidad Autónoma de Coahuila, Torreón 27276, Coahuila, Mexico

Área Académica de Ingeniería y Arquitectura, Universidad Autónoma del Estado de Hidalgo, Carretera Pachuca-Tulancingo, Km 4.5, Pachuca 42082, Hidalgo, Mexico

Funding

Universidad Autónoma de Coahuila · Universidad Autónoma del Estado de Hidalgo · Universidad Veracruzana, Mexico

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