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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Format: | Article |
Language: | English |
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MDPI AG
2023-09-01
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Series: | Buildings |
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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. |
first_indexed | 2024-03-10T22:57:57Z |
format | Article |
id | doaj.art-13f7907f6cb94c2c9cfc8278a69bdd2e |
institution | Directory Open Access Journal |
issn | 2075-5309 |
language | English |
last_indexed | 2024-03-10T22:57:57Z |
publishDate | 2023-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Buildings |
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 |