{"id":65338,"date":"2017-09-13T09:37:39","date_gmt":"2017-09-13T07:37:39","guid":{"rendered":"https:\/\/www.geostru.eu\/cedimento-di-una-fondazione-mista-metodo-pdr\/"},"modified":"2018-01-26T09:55:06","modified_gmt":"2018-01-26T07:55:06","slug":"cedimento-di-una-fondazione-mista-metodo-pdr","status":"publish","type":"post","link":"https:\/\/www.geostru.eu\/es\/blog\/2017\/09\/13\/cedimento-di-una-fondazione-mista-metodo-pdr\/","title":{"rendered":"ASIENTO DE UNA CIMENTACI\u00d3N MIXTA m\u00e9todo PDR"},"content":{"rendered":"<p style=\"text-align: justify;\">Para calcular los asientos de una cimentaci\u00f3n mixta es necesario efectuar un an\u00e1lisis de interacci\u00f3n para determinar la forma en que se reparte la carga transmitida por la estructura.<br \/>\nSe debe estimar la rigidez de una cimentaci\u00f3n mixta, que depende de la rigidez de la losa y de la rigidez del grupo de pilotes y esta \u00faltima depende a su vez de la rigidez de cada pilote.<br \/>\nLa rigidez de se entiende como \u201crigidez por carga vertical\u201d o sea la relaci\u00f3n entre carga vertical absorbida y asiento promedio.<br \/>\nLa interacci\u00f3n pilote-losa para calcular la rigidez de la cimentaci\u00f3n mixta se puede formular de las dos siguientes expresiones <em>[Randolph &amp; Clancy (1993)- modificada por Mandolini (1993)]:<\/em><\/p>\n<p style=\"text-align: center;\"><strong>K<\/strong><sub>mixta<\/sub>\/<strong>K<\/strong><sub>pilotes<\/sub>=(1-0.6\u00b7(<strong>K<\/strong><sub>losa<\/sub>\/<strong>K<\/strong><sub>pilotes<\/sub>))\/(1-0.64\u00b7(<strong>K<\/strong><sub>losa<\/sub>\/<strong>K<\/strong><sub>pilotes<\/sub>))<br \/>\n<strong>P<\/strong><sub>pilotes<\/sub>\/<strong>P<\/strong><sub>tot<\/sub>=(1-0.8\u00b7(<strong>K<\/strong><sub>losa<\/sub>\/<strong>K<\/strong><sub>pilotes<\/sub>))\/(1-0.6\u00b7(<strong>K<\/strong><sub>losa<\/sub>\/<strong>K<\/strong><sub>pilotes<\/sub>))<\/p>\n<p>donde:<br \/>\n<strong>K<\/strong><sub>losa<\/sub> rigidez de la losa<br \/>\n<strong>K<\/strong><sub>pilotes<\/sub> rigidez del grupo de pilotes<br \/>\n<strong>P<\/strong><sub>pilotes<\/sub> al\u00edcuota de carga absorbido por el grupo de pilotes<br \/>\n<strong>P<\/strong><sub>tot<\/sub> carga de ejercicio (combinaci\u00f3n casi permanente)<\/p>\n<p><strong>Rigidez de la losa<br \/>\n<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>K<\/strong><sub>losa<\/sub>=<strong>carga\/asiento<\/strong><\/p>\n<p>La carga se obtiene de la combinaci\u00f3n casi permanente:<\/p>\n<p style=\"text-align: center;\"><strong>carga<\/strong>= <strong>G<\/strong><sub>1k<\/sub> + <strong>G<\/strong><sub>2k<\/sub> + \u03c8<sub>21<\/sub><strong>Q<\/strong><sub>k1<\/sub><\/p>\n<p>donde:<br \/>\n<strong>G<\/strong><sub>1k<\/sub> carga permanente estructural<br \/>\n<strong>G<\/strong><sub>2k<\/sub> carga permanente no estructural<br \/>\n<strong>Q<\/strong><sub>k1<\/sub> carga variable<br \/>\n\u03c8<sub>21<\/sub> coeficiente de combinaci\u00f3n<br \/>\nEl asiento se puede estimar, por ejemplo, utilizando el m\u00e9todo propuesto por <em>Burland y Burbidge (1984)<\/em><\/p>\n<p><strong>Rigidez del pilote<\/strong><br \/>\nPara poder calcular la rigidez de cada pilote es necesario estimar la carga promedio por pilote en funci\u00f3n del espaciado y del valor obtenido calcular el asiento utilizando uno de los m\u00e9todos anal\u00edticos presentes en la literatura.<br \/>\nLa relaci\u00f3n entre carga promedio por pilote y asiento representa la rigidez de cada pilote <strong>K<\/strong>s<\/p>\n<p><strong>Rigidez del grupo de pilotes<\/strong><br \/>\nLa rigidez del grupo de pilotes se obtiene de:<\/p>\n<p style=\"text-align: center;\"><strong>K<\/strong><sub>pilotes<\/sub>=<strong>K<\/strong><sub>s<\/sub>\u00b7<strong>N<\/strong><sup>1-a<\/sup><\/p>\n<p>El exponente \u201ca\u201d es el producto de varios factores:<br \/>\n<strong>a =<\/strong> <strong>a<\/strong><sub>est\u00e1ndar<\/sub> \u00b7 <strong>a<\/strong><sub>intereje<\/sub> \u00b7<strong> a<\/strong><sub>poisson<\/sub> \u00b7 <strong>a<\/strong><sub>\u03c1<\/sub> \u00b7<strong> a<\/strong><sub>stiffinesratio<\/sub><\/p>\n<p>si obtienen interpretando los siguientes gr\u00e1ficos:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-38258\" src=\"https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/rigidezza_pali_coeff_a.jpg\" alt=\"\" width=\"400\" height=\"554\" srcset=\"https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/rigidezza_pali_coeff_a.jpg 709w, https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/rigidezza_pali_coeff_a-500x693.jpg 500w, https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/rigidezza_pali_coeff_a-217x300.jpg 217w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>donde:<br \/>\n<strong>L<\/strong> longitud pilote<br \/>\n<strong>D<\/strong> di\u00e1metro pilote<br \/>\n<strong>\u03c1<\/strong> relaci\u00f3n entre el m\u00f3dulo de corte estimado, respectivamente, en correspondencia a la l\u00ednea central y a la de la longitud del pilote.<br \/>\n<strong>S<\/strong> espaciado entre pilotes<br \/>\n<strong>E<\/strong><sub>p<\/sub> m\u00f3dulo el\u00e1stico del pilote<\/p>\n<p>El c\u00e1lculo del asiento de la cimentaci\u00f3n mixta hace uso del <strong>m\u00e9todo PDR<\/strong>, m\u00e9todo propuesto por <em>Poulos (2000)<\/em> que deriva de la combinaci\u00f3n de los m\u00e9todos de<em> Poulos y Davis (1980) y del m\u00e9todo de Randolph (1994).<\/em><br \/>\nLos supuestos simplificativos, campo de aplicabilidad del <strong>m\u00e9todo PDR<\/strong>, son:<br \/>\n\u2022 Cargas solo verticales y centradas<br \/>\n\u2022 Losa infinitamente r\u00edgida<br \/>\n\u2022 Comportamiento el\u00e1stico linear de losa-terreno y de pilotes-terreno<br \/>\nEl asiento de la cimentaci\u00f3n mixta se obtiene de la curva carga-asiento:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-38263 size-full aligncenter\" src=\"https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/curva_carico_cedimento.jpg\" alt=\"\" width=\"549\" height=\"315\" srcset=\"https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/curva_carico_cedimento.jpg 549w, https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/curva_carico_cedimento-500x287.jpg 500w, https:\/\/www.geostru.eu\/wp-content\/uploads\/2017\/07\/curva_carico_cedimento-300x172.jpg 300w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p><strong>P<\/strong> &lt; <strong>R<\/strong>pilotes <em>(losa y pilotes est\u00e1n en campo el\u00e1stico linear)<\/em><\/p>\n<p style=\"text-align: left;\"><strong>w<\/strong>=<strong>P<\/strong>\/<strong>K<\/strong><sub>mixta<\/sub><\/p>\n<p><strong>R<\/strong><sub>pilotes<\/sub> &lt;<strong> P<\/strong> &lt; <strong>R<\/strong><sub>mixta<\/sub> <em>(pilotes al l\u00edmite, losa en campo el\u00e1stico linear)<\/em><\/p>\n<p style=\"text-align: left;\"><strong>w<\/strong>=<strong>Q<\/strong>\/<strong>K<\/strong><sub>mixta<\/sub>+(<strong>P<\/strong>&#8211;<strong>Q<\/strong>)\/<strong>K<\/strong><sub>losa<\/sub><\/p>\n<p><strong>P<\/strong> = <strong>R<\/strong><sub>mixta<\/sub> <em>(colapso de la cimentaci\u00f3n mixta)<\/em><br \/>\ndonde:<br \/>\n<strong>P<\/strong> carga de ejercicio<br \/>\n<strong>Q<\/strong> carga total asignada a los pilotes<br \/>\n<strong>R<\/strong><sub>pilotes<\/sub> carga l\u00edmite del grupo de pilotes<br \/>\n<strong>R<\/strong><sub>mixta<\/sub> carga l\u00edmite de la cimentaci\u00f3n mixta<\/p>\n<p>&nbsp;<\/p>\n<blockquote>\n<p style=\"text-align: center;\">DISPONIBLE COMO C\u00d3DIGO DE C\u00c1LCULO GEOSTRU. SOLIC\u00cdTALO<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Para calcular los asientos de una cimentaci\u00f3n mixta es necesario efectuar un an\u00e1lisis de interacci\u00f3n para determinar la forma en que se reparte la carga transmitida por la estructura. Se debe estimar la rigidez de una cimentaci\u00f3n mixta, que depende de la rigidez de la losa y de la rigidez del grupo de pilotes y&hellip;<\/p>\n","protected":false},"author":216,"featured_media":38273,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[584,581,583,640],"tags":[],"class_list":["post-65338","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articulos-publicaciones-geotecnica","category-articulos-ingenieria-civil","category-articulos-para-la-geologia","category-pubblicazioni-es","category-584","category-581","category-583","category-640","description-off"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.0 (Yoast SEO v25.0) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ASIENTO DE UNA CIMENTACI\u00d3N MIXTA m\u00e9todo PDR - GeoStru<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.geostru.eu\/es\/blog\/2017\/09\/13\/cedimento-di-una-fondazione-mista-metodo-pdr\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ASIENTO DE UNA CIMENTACI\u00d3N MIXTA m\u00e9todo PDR\" \/>\n<meta property=\"og:description\" content=\"Para calcular los asientos de una cimentaci\u00f3n mixta es necesario efectuar un an\u00e1lisis de interacci\u00f3n para determinar la forma en que se reparte la carga transmitida por la estructura. 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He graduated in Civil Engineering, geotechnical track, at the University of Calabria in 1996, with a thesis entitled \\\"Programma di calcolo per l'analisi della stabilita dei pendii con metodi numerici avanzati\\\" (A calculation program for slope stability analysis using advanced numerical methods) - the work that became his first commercial product. He has been registered with the Order of Engineers of Reggio Calabria (no. 1839) since 1996. From 1996 to 1999 he worked as an analyst and software developer specialising in numerical algorithms, in Pascal, Visual Basic, Fortran and Visual C++, and in full-stack web development. He works with advanced 2D and 3D mathematical models and with graphics programming in OpenGL and DirectX. In 1999 he founded GeoStru, an international geotechnical software house whose catalogue he largely authored: slope stability and rockfall analysis, foundations and retaining structures, finite element analysis, geophysics and site investigation, hydrology and hydrogeology, and reinforced concrete design. Since 2016 he has run SC Engsoft S.r.l. in Cluj-Napoca, Romania, and he is technical and scientific consultant to GoMeeting. His most recent work is GeoStru.ai, a platform delivering geotechnical and civil calculation through natural-language conversation while keeping the analysis itself on deterministic, auditable algorithms. Between 2005 and 2013 he co-supervised degree theses at the University of Calabria and the Mediterranea University of Reggio Calabria. He teaches accredited professional-development courses for geologists and engineers under accreditation from the Italian Consiglio Nazionale dei Geologi. His peer-reviewed work includes papers in Green World Journal (2021), Marine and Petroleum Geology (2022), Journal of Mediterranean Earth Sciences (2022), Geosciences (2024) and Bulletin of Engineering Geology and the Environment (2026), together with memorie at the XXVII and XXVIII Italian National Geotechnical Conferences. He co-authored \\\"Terre rinforzate\\\" (EPC Editore, 2023) and \\\"Terrae Motus\\\". He has been a member of AGI, ISRM, ISSMGE and AGI-IGS since 2014, and holds a certificate from AGS (Association of Geotechnical &amp; Geoenvironmental Specialists). 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He graduated in Civil Engineering, geotechnical track, at the University of Calabria in 1996, with a thesis entitled \"Programma di calcolo per l'analisi della stabilita dei pendii con metodi numerici avanzati\" (A calculation program for slope stability analysis using advanced numerical methods) - the work that became his first commercial product. He has been registered with the Order of Engineers of Reggio Calabria (no. 1839) since 1996. From 1996 to 1999 he worked as an analyst and software developer specialising in numerical algorithms, in Pascal, Visual Basic, Fortran and Visual C++, and in full-stack web development. He works with advanced 2D and 3D mathematical models and with graphics programming in OpenGL and DirectX. In 1999 he founded GeoStru, an international geotechnical software house whose catalogue he largely authored: slope stability and rockfall analysis, foundations and retaining structures, finite element analysis, geophysics and site investigation, hydrology and hydrogeology, and reinforced concrete design. Since 2016 he has run SC Engsoft S.r.l. in Cluj-Napoca, Romania, and he is technical and scientific consultant to GoMeeting. His most recent work is GeoStru.ai, a platform delivering geotechnical and civil calculation through natural-language conversation while keeping the analysis itself on deterministic, auditable algorithms. Between 2005 and 2013 he co-supervised degree theses at the University of Calabria and the Mediterranea University of Reggio Calabria. He teaches accredited professional-development courses for geologists and engineers under accreditation from the Italian Consiglio Nazionale dei Geologi. His peer-reviewed work includes papers in Green World Journal (2021), Marine and Petroleum Geology (2022), Journal of Mediterranean Earth Sciences (2022), Geosciences (2024) and Bulletin of Engineering Geology and the Environment (2026), together with memorie at the XXVII and XXVIII Italian National Geotechnical Conferences. He co-authored \"Terre rinforzate\" (EPC Editore, 2023) and \"Terrae Motus\". He has been a member of AGI, ISRM, ISSMGE and AGI-IGS since 2014, and holds a certificate from AGS (Association of Geotechnical &amp; Geoenvironmental Specialists). 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