<?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>0012-7353</journal-id>
<journal-title><![CDATA[DYNA]]></journal-title>
<abbrev-journal-title><![CDATA[Dyna rev.fac.nac.minas]]></abbrev-journal-title>
<issn>0012-7353</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0012-73532022000200132</article-id>
<article-id pub-id-type="doi">10.15446/dyna.v89n221.100028</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Un modelo general para zapatas rectangulares. Parte I: superficie óptima]]></article-title>
<article-title xml:lang="en"><![CDATA[A general model for rectangular footings. Part I: optimal surface]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García-Galván]]></surname>
<given-names><![CDATA[Marylú]]></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[Rivera-Mendoza]]></surname>
<given-names><![CDATA[José Benito]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Coahuila  ]]></institution>
<addr-line><![CDATA[Torreón Coahuila]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<volume>89</volume>
<numero>221</numero>
<fpage>132</fpage>
<lpage>141</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0012-73532022000200132&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0012-73532022000200132&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0012-73532022000200132&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este trabajo muestra un modelo general de zapatas rectangulares para obtener el área mínima de contacto del suelo (superficie óptima) que soportan de 1 a "n" columnas alineadas en un eje longitudinal. El modelo propuesto considera que la presión del suelo varia linealmente. Los modelos recientemente publicados se han presentado individualmente para obtener el área de contacto con el suelo para zapatas aisladas rectangulares, zapatas combinadas rectangulares que soportan dos columnas, estos modelos presentan las ecuaciones, pero no se garantiza que sea el área minima. La presente investigación cumple con los modelos mencionados anteriormente (Luévanos-Rojas 2013, 2016) y se puede aplicar a zapatas que soportan 3 o más columnas, además se garantiza el área minima. Además, se muestran problemas numéricos de la superficie minima de contacto con el suelo para zapatas aisladas rectangulares y zapatas combinadas rectangulares que soportan dos y tres columnas (sin restricciones en sus lados, un lado restringido y dos lados opuestos restringidos).]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This paper shows a general model of rectangular footings to obtain the soil minimum contact area (optimal surface) that support from 1 to n columns aligned on a longitudinal axis. The proposed model considers that the soil pressure varies linearly. The recently published models have been presented individually to obtain the soil contact area for rectangular isolated footings, rectangular combined footings that support two columns, these models present the equations, but it is not guaranteed to be the minimum area. The present research complies with the models mentioned above (Luévanos-Rojas 2013, 2016) and can be applied to footings that support 3 or more columns, and also the minimum area is guaranteed. Also, numerical problems are shown the soil minimum contact surface for rectangular isolated footings, and rectangular combined footings that support two and three columns (unrestricted on its sides, one side restricted and two opposite sides restricted).]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[general model for rectangular footings]]></kwd>
<kwd lng="en"><![CDATA[optimal surface]]></kwd>
<kwd lng="en"><![CDATA[rectangular isolated footings]]></kwd>
<kwd lng="en"><![CDATA[rectangular combined footings]]></kwd>
<kwd lng="en"><![CDATA[minimum contact area]]></kwd>
<kwd lng="es"><![CDATA[modelo general para zapatas rectangulares]]></kwd>
<kwd lng="es"><![CDATA[superficie óptima]]></kwd>
<kwd lng="es"><![CDATA[zapatas aisladas rectangulares]]></kwd>
<kwd lng="es"><![CDATA[zapatas combinadas rectangulares, área minima de contacto]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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