<?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>S0188-62662020000100155</article-id>
<article-id pub-id-type="doi">10.15174/au.2020.2973</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Un modelo optimizado para zapatas combinadas trapezoidales apoyadas sobre el terreno: Superficie óptima]]></article-title>
<article-title xml:lang="en"><![CDATA[An optimized model for trapezoidal combined footings supported on the ground: Optimum surface]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pasillas Orona]]></surname>
<given-names><![CDATA[Alberto Isidro]]></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 contrib-type="author">
<name>
<surname><![CDATA[Aguilera Mancilla]]></surname>
<given-names><![CDATA[Gabriel]]></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=S0188-62662020000100155&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0188-62662020000100155&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0188-62662020000100155&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este documento muestra un modelo optimizado para zapatas combinadas trapezoidales apoyadas sobre el terreno que soportan una carga concentrada y momentos alrededor de los ejes X e Y en cada columna para obtener el área de la superficie mínima en planta. El modelo presentado en este documento considera un diagrama de presión que tiene una variación lineal. El modelo normalmente utilizado para obtener el área de la superficie de contacto sobre el terreno toma en cuenta las dimensiones propuestas de la zapata combinada de forma trapezoidal y, posteriormente, se verifican los esfuerzos en las esquinas por la ecuación de la flexión biaxial (estos esfuerzos deben ser mayor o igual que 0 y menor o igual que la capacidad de carga admisible disponible del terreno). Los resultados muestran que el modelo propuesto puede usarse para obtener el área óptima de zapatas combinadas trapezoidales y rectangulares con un lado restringido y dos líneas de propiedad de lados opuestos restringidos, así como para zapatas combinadas triangulares.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This document shows an optimized model for trapezoidal combined footings resting on the ground that support a concentrated load and moments around of the X and Y axes in each column to obtain the minimum surface area in plan. The model presented in this document considers a pressure diagram that has a linear variation. The model normally used to obtain the area of the contact surface on the ground takes into account the proposed dimensions of the trapezoidal combined footing, and later the stresses are verified at the corners by the biaxial bending equation (these stresses must be greater than or equal to zero and lower than or equal to the available admissible load capacity of the ground). The results show that the proposed model can be used for obtaining the optimal area of trapezoidal and rectangular combined footings with one restricted side and two property lines of restricted opposite sides, as well as for triangular combined footings.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Modelo optimizado]]></kwd>
<kwd lng="es"><![CDATA[zapatas combinadas trapezoidales]]></kwd>
<kwd lng="es"><![CDATA[zapatas combinadas rectangulares]]></kwd>
<kwd lng="es"><![CDATA[superficie mínima]]></kwd>
<kwd lng="en"><![CDATA[Optimized model]]></kwd>
<kwd lng="en"><![CDATA[trapezoidal combined footings]]></kwd>
<kwd lng="en"><![CDATA[rectangular combined footings]]></kwd>
<kwd lng="en"><![CDATA[optimum surface]]></kwd>
</kwd-group>
</article-meta>
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