Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing

This work presents a new model for obtaining the cheapest design for a rectangular isolated footing, taking into account that the column is located in any part of the footing. The methodology is developed by integration to obtain the moments, bending shear and punching shear according to the America...

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Main Author: Arnulfo Luévanos-Rojas
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/13/9/2269
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author Arnulfo Luévanos-Rojas
author_facet Arnulfo Luévanos-Rojas
author_sort Arnulfo Luévanos-Rojas
collection DOAJ
description This work presents a new model for obtaining the cheapest design for a rectangular isolated footing, taking into account that the column is located in any part of the footing. The methodology is developed by integration to obtain the moments, bending shear and punching shear according to the American Concrete Institute ACI 318-14. This document presents the simplified and precise equations of the four moments, four bending shears and one punching shear acting on the footing. Some designs have been developed by the trial and error method to determine the footing dimensions, and later the thickness and steel area of the footing are obtained. Some authors present the minimum cost design for a rectangular isolated footing taking into account that the column is located in the center of gravity of the footing, and other authors present very complex algorithms. Numerical examples are presented to obtain the minimum cost design of rectangular isolated footings under biaxial bending, and some results are compared with those of other authors considering the same conditions. The new model presents a smaller contact area with the soil and a lower design cost than those presented by other authors.
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spelling doaj.art-13f7907f6cb94c2c9cfc8278a69bdd2e2023-11-19T09:51:43ZengMDPI AGBuildings2075-53092023-09-01139226910.3390/buildings13092269Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the FootingArnulfo Luévanos-Rojas0Instituto de Investigaciones Multidisciplinaria, Universidad Autónoma de Coahuila, Blvd. Revolución No, 151 Ote, Torreón CP 27000, Coahuila, MexicoThis work presents a new model for obtaining the cheapest design for a rectangular isolated footing, taking into account that the column is located in any part of the footing. The methodology is developed by integration to obtain the moments, bending shear and punching shear according to the American Concrete Institute ACI 318-14. This document presents the simplified and precise equations of the four moments, four bending shears and one punching shear acting on the footing. Some designs have been developed by the trial and error method to determine the footing dimensions, and later the thickness and steel area of the footing are obtained. Some authors present the minimum cost design for a rectangular isolated footing taking into account that the column is located in the center of gravity of the footing, and other authors present very complex algorithms. Numerical examples are presented to obtain the minimum cost design of rectangular isolated footings under biaxial bending, and some results are compared with those of other authors considering the same conditions. The new model presents a smaller contact area with the soil and a lower design cost than those presented by other authors.https://www.mdpi.com/2075-5309/13/9/2269minimum cost designminimum areamomentsbending shearpunching shear
spellingShingle Arnulfo Luévanos-Rojas
Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing
Buildings
minimum cost design
minimum area
moments
bending shear
punching shear
title Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing
title_full Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing
title_fullStr Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing
title_full_unstemmed Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing
title_short Minimum Cost Design for Rectangular Isolated Footings Taking into Account That the Column Is Located in Any Part of the Footing
title_sort minimum cost design for rectangular isolated footings taking into account that the column is located in any part of the footing
topic minimum cost design
minimum area
moments
bending shear
punching shear
url https://www.mdpi.com/2075-5309/13/9/2269
work_keys_str_mv AT arnulfoluevanosrojas minimumcostdesignforrectangularisolatedfootingstakingintoaccountthatthecolumnislocatedinanypartofthefooting