Advanced Computational Methods in Mechanics and Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 July 2024 | Viewed by 1028

Special Issue Editor


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Guest Editor
Institute of Multidisciplinary Researches of the Faculty of Accounting and Administration, Autonomous University of Coahuila, Cd. Torreón, Coahuila C.P.25280, Mexico
Interests: structural engineering; mechanical engineering; civil engineering; mathematical models; engineering, applied and computational mathematics

Special Issue Information

Dear Colleagues,

With the continuous advancements in computational techniques and methods, the possibilities for solving complex problems in mechanics and engineering have significantly expanded. The use of numerical and computational methods plays an important role in enhancing the design and performance of engineered structures and systems.

This Special Issue on “Advanced Computational Methods in Mechanics and Engineering” aims to showcase the latest advancements and applications of computational techniques in various fields of mechanics and engineering. Topics of interest include, but are not limited to

  1. Advanced numerical methods for mechanical and engineering problems;
  2. Applying mathematical models in mechanical and engineering;
  3. Boundary element methods in computational mechanics;
  4. Differential equations and calculations in engineering problems;
  5. Modeling and numerical experiments in structural and civil engineering;
  6. Real and complex analysis for mechanical and engineering problems;
  7. Computational solutions for coupled problems;
  8. Optimization methods for engineering problems;
  9. Deep machine learning applications in computational mechanics;
  10. Structural dynamics and vibration analysis.

Prof. Dr. Arnulfo Luévanos-Rojas
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mechanical engineering
  • structural and civil engineering
  • mathematical models
  • engineering, applied and computational mathematics

Published Papers (1 paper)

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20 pages, 2315 KiB  
Article
Mathematical Modeling of the Optimal Cost for the Design of Strap Combined Footings
by Arnulfo Luévanos-Rojas, Griselda Santiago-Hurtado, Victor Manuel Moreno-Landeros, Francisco Javier Olguin-Coca, Luis Daimir López-León and Eyran Roberto Diaz-Gurrola
Mathematics 2024, 12(2), 294; https://doi.org/10.3390/math12020294 - 16 Jan 2024
Viewed by 675
Abstract
This paper presents a novel mathematical model to determine the minimum cost for the design of reinforced-concrete strap combined footings under biaxial bending, with each column using a genetic algorithm. The pressure is assumed to be linearly distributed along the contact area. This [...] Read more.
This paper presents a novel mathematical model to determine the minimum cost for the design of reinforced-concrete strap combined footings under biaxial bending, with each column using a genetic algorithm. The pressure is assumed to be linearly distributed along the contact area. This study comprises two steps: firstly, identifying the smallest ground contact area, and secondly, minimizing the cost. The methodology integrates moment, bending shear, and punching shear calculations according to the ACI standard. Some authors present a smaller area (but limited to one or two property lines) and the design considers that the thickness of the footings and beam are equal, and do not show the lower cost of a strap combined footing; generally, the beam has a greater thickness than the footings and therefore the footings would have an unnecessary thickness that would generate a higher cost. A numerical example is shown to find the lowest cost for the design of strap combined footings considering four different conditions such as square footings and other limitation at the ends of the footings. The minimum area does not guarantee that it is the lowest cost. The proposed model is versatile, applicable to T-shaped and rectangular combined footings, and is not restricted to specific property lines. The contributions include eliminating trial and error practices, accommodating various design conditions, and emphasizing equilibrium in the derived equations. The model is adaptable to different building codes, offering a comprehensive approach to achieving optimal design and cost considerations for strap combined footings. Full article
(This article belongs to the Special Issue Advanced Computational Methods in Mechanics and Engineering)
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