<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0188-6266</journal-id>
<journal-title><![CDATA[Acta universitaria]]></journal-title>
<abbrev-journal-title><![CDATA[Acta univ]]></abbrev-journal-title>
<issn>0188-6266</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Guanajuato, Dirección de Investigación y Posgrado]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0188-62662020000100125</article-id>
<article-id pub-id-type="doi">10.15174/au.2020.2466</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Modelo optimizado para cabezales rectangulares apoyados sobre un grupo de pilotes: Parte 2) Diseño óptimo]]></article-title>
<article-title xml:lang="en"><![CDATA[An optimized model for rectangular pile caps supported on a group of piles: Part 2) Optimal design]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Farias Montemayor]]></surname>
<given-names><![CDATA[Oscar Mario]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Luévanos Rojas]]></surname>
<given-names><![CDATA[Arnulfo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[López Chavarría]]></surname>
<given-names><![CDATA[Sandra]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Medina Elizondo]]></surname>
<given-names><![CDATA[Manuel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Coahuila Instituto de Investigaciones Multidisciplinarias ]]></institution>
<addr-line><![CDATA[Torreón Coahuila]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2020</year>
</pub-date>
<volume>30</volume>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0188-62662020000100125&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0188-62662020000100125&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0188-62662020000100125&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La primera parte de esta investigación presenta un modelo optimizado para cabezales o zapatas rectangulares apoyadas sobre un grupo de pilotes para obtener la superficie mínima en planta (área óptima) que soporta una carga axial y dos momentos sobre el eje X y Y debido a una columna. La presente investigación muestra el diseño óptimo (costo mínimo) para cabezales. Este modelo considera que los cabezales son perfectamente rígidos y los pilotes están articulados en la unión de los cabezales con los pilotes y, por lo tanto, los pilotes transmiten solamente carga vertical. La metodología normalmente utilizada para obtener el diseño de los cabezales considera que todos los pilotes transmiten la misma carga vertical; esto funciona únicamente cuando la columna transmite carga axial y no momentos. Además, cinco tipos de cabezales apoyadas sobre un grupo formado por dos, tres, cuatro, cinco y seis pilotes se muestran para demostrar la precisión del modelo presentado en este documento.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The first part of this research presents an optimized model for rectangular caps or footings supported on a group of piles to obtain the minimum surface in plant (optimal area) bearing an axial load and two moments on the X and Y axis due to a column. The present research shows the optimal design (minimum cost) for pile caps. This model considers that the caps are perfectly rigid, and the piles are articulated at the junction of the caps with the piles and, therefore, the piles transmit only vertical load. The methodology used to obtain the design of the caps considers that all the piles transmit the same vertical load; this only works when the column transmits axial load but not moments. Also, five types of caps supported on a group formed by two, three, four, five and six piles are shown to demonstrate the accuracy of the model presented in this document.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Modelo optimizado]]></kwd>
<kwd lng="es"><![CDATA[cabezales o zapatas rectangulares]]></kwd>
<kwd lng="es"><![CDATA[diseño óptimo]]></kwd>
<kwd lng="es"><![CDATA[costo mínimo]]></kwd>
<kwd lng="es"><![CDATA[grupo de pilotes]]></kwd>
<kwd lng="en"><![CDATA[Optimized model]]></kwd>
<kwd lng="en"><![CDATA[rectangular caps or footings]]></kwd>
<kwd lng="en"><![CDATA[optimal design]]></kwd>
<kwd lng="en"><![CDATA[minimum cost]]></kwd>
<kwd lng="en"><![CDATA[group of piles]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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