<?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>0121-1129</journal-id>
<journal-title><![CDATA[Revista Facultad de Ingeniería]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Fac. ing.]]></abbrev-journal-title>
<issn>0121-1129</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-11292024000300005</article-id>
<article-id pub-id-type="doi">10.19053/01211129.v33.n69.2024.17855</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[ADVANCING PROBABILISTIC FRAME ANALYSIS: A COMPREHENSIVE APPROACH USING MONTE CARLO SIMULATION AND RESPONSE SURFACES]]></article-title>
<article-title xml:lang="es"><![CDATA[Avanzando en el análisis probabilístico de marcos: un enfoque integral mediante simulaciones Monte Carlo y superficies de respuesta]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Calderón]]></surname>
<given-names><![CDATA[Wilson]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pallares-Muñoz]]></surname>
<given-names><![CDATA[Myriam-Rocío]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jurado-Cabañes]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Escuela Superior de Administración Pública  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Surcolombiana  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Politécnica de Madrid  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2024</year>
</pub-date>
<volume>33</volume>
<numero>69</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-11292024000300005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-11292024000300005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-11292024000300005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT An ANSYS-based probabilistic finite element analysis has been created, expanding Haldar and Mahadevan's canonical frame approach. The model is parameterized with eleven random variables, including applied loads, cross-section properties, member lengths, elastic modulus, and limit horizontal displacement. The sensitivity of these variables is analyzed, and the structure's failure probability is evaluated using a limit state function for horizontal displacement. Monte Carlo (MC), Monte Carlo with Latin Hypercube sampling (MCLH), and Linear and Quadratic Response Surface (RSM-LIN and RSM-QUAX) methods analyze structural reliability; RSM methods achieved the lowest computational costs. The results are conclusive and future applications involving nonlinearity, dynamic loading, and other extreme scenarios are predicted.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMEN Se realizó un análisis probabilístico de elementos finitos en ANSYS que amplía el enfoque del pórtico canónico de Haldar y Mahadevan. El modelo se parametriza con once variables aleatorias que incluyen las cargas impuestas, las propiedades geométricas de las secciones, las longitudes de los miembros, el módulo elástico y el desplazamiento horizontal límite. El modelo incorpora un análisis de las sensibilidades probabilísticas de las variables y la evaluación de la probabilidad de falla de la estructura. El criterio de falla se introduce a través de una función de estado límite de desplazamiento horizontal. Los resultados de la contabilidad estructural del pórtico utilizando los métodos de Monte Carlo (MC), Monte Carlo con Muestreo por Hipercubo Latino (MCLH) y Superficie de Respuesta con polinomios lineales (RSM-LIN) y cuadráticos (RSM-QUAX) son contundentes y se destacan los bajos costos computacionales logrados con los métodos RSM. Finalmente, se pronostican aplicaciones futuras en pórticos que incluyan no linealidad geométrica y de materiales, carga dinámica y otros escenarios de carga extrema.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[design of experiments]]></kwd>
<kwd lng="en"><![CDATA[finite element]]></kwd>
<kwd lng="en"><![CDATA[Monte Carlo methods]]></kwd>
<kwd lng="en"><![CDATA[probabilistic sensitivities]]></kwd>
<kwd lng="en"><![CDATA[response surface method]]></kwd>
<kwd lng="en"><![CDATA[structural reliability]]></kwd>
<kwd lng="pt"><![CDATA[confiabilidad estructural]]></kwd>
<kwd lng="pt"><![CDATA[diseño de experimentos]]></kwd>
<kwd lng="pt"><![CDATA[elementos finitos]]></kwd>
<kwd lng="pt"><![CDATA[método de superficie de respuesta]]></kwd>
<kwd lng="pt"><![CDATA[métodos Monte Carlo]]></kwd>
<kwd lng="pt"><![CDATA[sensibilidades probabilísticas]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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