{"id":24424,"date":"2024-04-29T16:03:14","date_gmt":"2024-04-29T14:03:14","guid":{"rendered":"https:\/\/biblus.accasoftware.com\/fr\/?p=24424"},"modified":"2024-05-10T11:21:45","modified_gmt":"2024-05-10T09:21:45","slug":"importance-de-la-poutre-en-beton-arme","status":"publish","type":"post","link":"https:\/\/biblus.accasoftware.com\/fr\/importance-de-la-poutre-en-beton-arme\/","title":{"rendered":"Comment faire les poutres en b\u00e9ton arm\u00e9&nbsp;:&nbsp;types et m\u00e9thodes de conception"},"content":{"rendered":"<p class=\"sommario\">Les poutres en b\u00e9ton arm\u00e9 sont des \u00e9l\u00e9ments structuraux horizontaux compos\u00e9s d&rsquo;un m\u00e9lange de b\u00e9ton et d&rsquo;acier. D\u00e9couvrez comment les concevoir<\/p>\n<p><!--more--><\/p>\n<p>Les poutres en b\u00e9ton arm\u00e9 sont des \u00e9l\u00e9ments structuraux d&rsquo;une importance fondamentale dans le domaine de la construction moderne. Elles se distinguent par leur capacit\u00e9 \u00e0 r\u00e9sister aux sollicitations de traction, gr\u00e2ce \u00e0 l&rsquo;utilisation d&rsquo;une armature en acier incorpor\u00e9e dans le b\u00e9ton.<\/p>\n<p>Dans cet article, nous explorerons les diff\u00e9rentes typologies de poutres en b\u00e9ton arm\u00e9 utilis\u00e9es dans l&rsquo;industrie de la construction. Nous analyserons les caract\u00e9ristiques de chacune d&rsquo;entre elles, en examinant les applications sp\u00e9cifiques dans divers contextes structurels.<\/p>\n<p>Si vous \u00eates un professionnel impliqu\u00e9 dans la conception structurelle, sachez que vous pouvez compter sur l&rsquo;aide d&rsquo;outils avanc\u00e9s pour am\u00e9liorer l&rsquo;efficacit\u00e9 et la fiabilit\u00e9 de vos processus. D\u00e9couvrez d\u00e8s maintenant les possibilit\u00e9s d&rsquo;une solution sp\u00e9cifique <a class=\"textualLink_edilus\" href=\"https:\/\/www.accasoftware.com\/fr\/logiciel-calcul-structure-genie-civil\" target=\"_blank\" rel=\"noopener\">pour la mod\u00e9lisation et l&rsquo;analyse des structures en b\u00e9ton arm\u00e9<\/a>. En utilisant ces syst\u00e8mes, vous aurez la possibilit\u00e9 d&rsquo;importer le mod\u00e8le architectural IFC de votre b\u00e2timent dans un environnement BIM et de mod\u00e9liser votre structure avec des objets param\u00e9triques intelligents. De plus, vous pourrez exploiter la puissance du solveur FEM int\u00e9gr\u00e9 pour effectuer des analyses avanc\u00e9es en un temps record et \u00e9valuer de mani\u00e8re fiable la r\u00e9ponse structurale de vos b\u00e2timents.<\/p>\n<p>Explorons maintenant tous les avantages des poutres en b\u00e9ton arm\u00e9 et comprenons comment ces \u00e9l\u00e9ments structuraux peuvent contribuer \u00e0 la r\u00e9sistance, \u00e0 la s\u00e9curit\u00e9 et \u00e0 la stabilit\u00e9 des constructions.<\/p>\n<h2 id=\"les-poutres-en-beton-arme\">Les poutres en b\u00e9ton arm\u00e9<\/h2>\n<p>Les poutres en b\u00e9ton arm\u00e9 sont des \u00e9l\u00e9ments structuraux utilis\u00e9s dans la construction de b\u00e2timents et d&rsquo;infrastructures. Elles constituent, en particulier, les <strong>composants horizontaux des structures portantes \u00ab\u00e0 ossature\u00bb<\/strong>\u00a0r\u00e9alis\u00e9es en utilisant du b\u00e9ton arm\u00e9.<\/p>\n<p>Ce type de mat\u00e9riau provient de la combinaison du b\u00e9ton, qui offre une r\u00e9sistance \u00e0 la compression, avec l&rsquo;acier qui offre, quant \u00e0 lui, une haute r\u00e9sistance \u00e0 la traction. L&rsquo;utilisation du b\u00e9ton arm\u00e9 permet de profiter des propri\u00e9t\u00e9s compl\u00e9mentaires des deux mat\u00e9riaux, et de cr\u00e9er <strong>des structures tr\u00e8s r\u00e9sistantes<\/strong>, capables de supporter \u00e0 la fois les efforts de traction et de compression.<\/p>\n<p>Dans le contexte de la construction, il existe diff\u00e9rentes typologies de poutres en b\u00e9ton arm\u00e9, chacune con\u00e7ue pour r\u00e9pondre \u00e0 des besoins sp\u00e9cifiques. Nous explorerons maintenant ensemble quelques-unes des typologies les plus courantes, dans le but de mettre en \u00e9vidence leurs caract\u00e9ristiques distinctives.<\/p>\n<div id=\"attachment_24559\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-24559\" class=\"size-full wp-image-24559 lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme.webp\" alt=\"poutres en b\u00e9ton arm\u00e9\" width=\"1200\" height=\"800\" \/><p id=\"caption-attachment-24559\" class=\"wp-caption-text\"><noscript><img decoding=\"async\" class=\"size-full wp-image-24559 lazyload\" src=\"https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme.webp\" alt=\"poutres en b\u00e9ton arm\u00e9\" width=\"1200\" height=\"800\" srcset=\"https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme.webp 1200w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme-300x200.webp 300w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme-1030x687.webp 1030w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme-768x512.webp 768w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme-705x470.webp 705w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/poutres-beto-arme-240x160.webp 240w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/noscript> <em>Poutres en b\u00e9ton arm\u00e9<\/em><\/p><\/div>\n<h2 id=\"typologies-de-poutres-en-beton-arme\">Typologies de poutres en b\u00e9ton arm\u00e9<\/h2>\n<p>La polyvalence du b\u00e9ton arm\u00e9 permet la r\u00e9alisation de poutres dans diverses formes, typologies et dimensions, adaptables aux besoins sp\u00e9cifiques de conception. Une premi\u00e8re classification de ces \u00e9l\u00e9ments peut \u00eatre effectu\u00e9e en fonction des <strong>modes constructifs<\/strong>, en distinguant entre&nbsp;:&nbsp;<\/p>\n<ol>\n<li><strong>poutres en b\u00e9ton arm\u00e9 ordinaire<\/strong>\u00a0: r\u00e9alis\u00e9es par coulage de b\u00e9ton dans des coffrages appropri\u00e9s, pr\u00e9vus pour donner \u00e0 la poutre la forme d\u00e9sir\u00e9e, et \u00e0 l&rsquo;int\u00e9rieur desquels est pr\u00e9alablement positionn\u00e9e l&rsquo;armature m\u00e9tallique. Cette derni\u00e8re est constitu\u00e9e de barres en acier \u00e0 adh\u00e9rence am\u00e9lior\u00e9e ayant pour but de garantir une adh\u00e9rence maximale entre les deux mat\u00e9riaux (b\u00e9ton et acier), \u00e9vitant tout ph\u00e9nom\u00e8ne de d\u00e9collement. Les poutres en b\u00e9ton arm\u00e9 ordinaire sont largement utilis\u00e9es dans diff\u00e9rents contextes structurels, tels que les b\u00e2timents r\u00e9sidentiels, commerciaux et industriels. Elles conviennent aux planchers, aux toitures, aux poutres de support et aux poutres de rive. Leur polyvalence et leur facilit\u00e9 de r\u00e9alisation en font un choix courant dans la plupart des applications de construction;<\/li>\n<li><strong>poutres en b\u00e9ton arm\u00e9 pr\u00e9contraint<\/strong>&nbsp;:&nbsp;diff\u00e8rent des poutres ordinaires par le fait que l&rsquo;armature est tendue avant le coulage du b\u00e9ton. Ce processus permet d&rsquo;am\u00e9liorer davantage la r\u00e9sistance de la poutre, car la tension pr\u00e9existante contraste les sollicitations de traction pendant la charge d&rsquo;utilisation. Les poutres pr\u00e9contraintes peuvent donc supporter des charges plus \u00e9lev\u00e9es que les poutres en b\u00e9ton arm\u00e9 ordinaire. La pr\u00e9contrainte permet de r\u00e9duire la section transversale de la poutre, d&rsquo;optimiser l&rsquo;efficacit\u00e9 structurelle et d&rsquo;ouvrir la possibilit\u00e9 de cr\u00e9er des port\u00e9es plus grandes sans la n\u00e9cessit\u00e9 de supports interm\u00e9diaires. Les poutres en b\u00e9ton arm\u00e9 pr\u00e9contraint sont couramment utilis\u00e9es dans de grandes structures telles que des ponts, des viaducs, des b\u00e2timents industriels, etc. Elles sont id\u00e9ales pour les projets n\u00e9cessitant une capacit\u00e9 de charge plus importante et une r\u00e9duction des d\u00e9formations.<\/li>\n<\/ol>\n<p>Une autre subdivision des poutres en b\u00e9ton arm\u00e9 concerne les <strong>conditions de liaison<\/strong>. Cette classification tient compte des fa\u00e7ons dont les extr\u00e9mit\u00e9s des poutres sont li\u00e9es ou support\u00e9es. Voici quelques-unes des principales cat\u00e9gories&nbsp;:&nbsp;<\/p>\n<ol>\n<li><strong>poutres simplement appuy\u00e9es<\/strong>&nbsp;:&nbsp;dans ce type de poutre, les extr\u00e9mit\u00e9s reposent sur des supports lat\u00e9raux permettant la rotation. Il s&rsquo;agit d&rsquo;un type de liaison qui simplifie l&rsquo;analyse structurale, car la poutre peut se d\u00e9placer librement sans transmettre de moments fl\u00e9chissant aux appuis. Cette configuration est souvent utilis\u00e9e lorsqu&rsquo;une r\u00e9partition uniforme de la charge le long de la poutre est souhait\u00e9e, garantissant en m\u00eame temps une solution structurelle relativement simple ;<\/li>\n<li><strong>poutres encastr\u00e9es<\/strong>&nbsp;:&nbsp;soumises \u00e0 des liaisons rigides aux extr\u00e9mit\u00e9s, emp\u00eachant \u00e0 la fois la translation et la rotation. Ce type de poutre est utilis\u00e9 dans des situations n\u00e9cessitant de r\u00e9sister \u00e0 des charges et sollicitations particuli\u00e8rement \u00e9lev\u00e9es, comme dans les fondations ou les structures sismiques ;<\/li>\n<li><strong>poutres continues<\/strong>&nbsp;:&nbsp;les poutres continues sont support\u00e9es par plusieurs points interm\u00e9diaires, tels que des colonnes ou des piliers. Ces points interm\u00e9diaires permettent une r\u00e9partition plus uniforme des charges le long de la poutre. Les poutres continues sont utilis\u00e9es pour couvrir des port\u00e9es plus importantes et r\u00e9duire la d\u00e9formation de la poutre ;<\/li>\n<li><strong>poutres en porte-\u00e0-faux<\/strong>&nbsp;:&nbsp;se caract\u00e9risent par une extr\u00e9mit\u00e9 d\u00e9passant le point d&rsquo;appui. Cette configuration permet de cr\u00e9er de grands espaces ouverts sans n\u00e9cessit\u00e9 de supports interm\u00e9diaires. Les poutres en porte-\u00e0-faux sont courantes dans les fa\u00e7ades des b\u00e2timents ou dans les structures suspendues telles que les ponts.<\/li>\n<\/ol>\n<p>Sur le plan g\u00e9om\u00e9trique, il est possible d&rsquo;effectuer une autre classification des poutres en b\u00e9ton arm\u00e9, en les distinguant par leurs <strong>caract\u00e9ristiques formelles<\/strong>&nbsp;:&nbsp;<\/p>\n<ol>\n<li><strong>poutres \u00e0 section rectangulaire<\/strong>&nbsp;:&nbsp;les formes les plus courantes de poutres en b\u00e9ton arm\u00e9. Elles pr\u00e9sentent une section transversale rectangulaire, avec une largeur g\u00e9n\u00e9ralement inf\u00e9rieure \u00e0 la hauteur. Cette forme est simple \u00e0 r\u00e9aliser et offre une bonne r\u00e9sistance \u00e0 la flexion;<\/li>\n<li><strong>poutres en T<\/strong>&nbsp;:&nbsp;ont une section transversale rappelant la lettre \u00abT\u00bb. Elles sont constitu\u00e9es d&rsquo;une partie centrale appel\u00e9e \u00ab\u00e2me\u00bb et de deux parties lat\u00e9rales situ\u00e9es \u00e0 l&rsquo;extr\u00e9mit\u00e9 sup\u00e9rieure de la poutre, appel\u00e9es \u00abailes\u00bb. Les poutres en T sont souvent utilis\u00e9es dans des situations n\u00e9cessitant une plus grande r\u00e9sistance \u00e0 l&rsquo;action de cisaillement;<\/li>\n<li><strong>poutres en double T<\/strong>&nbsp;:&nbsp;similaires aux poutres en T, mais avec des ailes \u00e0 la fois \u00e0 l&rsquo;extr\u00e9mit\u00e9 sup\u00e9rieure et inf\u00e9rieure de l&rsquo;\u00e2me. Cette configuration offre une plus grande r\u00e9sistance \u00e0 la flexion et \u00e0 la torsion par rapport aux poutres rectangulaires ou en T. Les poutres en double T sont couramment utilis\u00e9es dans les ponts et les structures de grande envergure ;<\/li>\n<li><strong>poutres \u00e0 section composite<\/strong>&nbsp;:&nbsp;constitu\u00e9es de deux ou plusieurs mat\u00e9riaux diff\u00e9rents combin\u00e9s pour exploiter les caract\u00e9ristiques avantageuses de chaque mat\u00e9riau. Par exemple, une poutre peut \u00eatre constitu\u00e9e de pi\u00e8ces en acier de construction et de pi\u00e8ces en b\u00e9ton arm\u00e9, reli\u00e9es entre elles par un syst\u00e8me d&rsquo;assemblage sp\u00e9cial. Ce type de poutre offre une plus grande r\u00e9sistance et rigidit\u00e9 par rapport aux poutres en b\u00e9ton arm\u00e9 traditionnelles ;<\/li>\n<li><strong>poutres \u00e0 section variable<\/strong>&nbsp;:&nbsp;ont une section transversale qui varie le long de leur longueur. Cela peut \u00eatre fait pour s&rsquo;adapter aux diff\u00e9rentes sollicitations et exigences structurelles le long de la poutre. Les poutres \u00e0 section variable sont souvent utilis\u00e9es dans des structures complexes ou dans des situations n\u00e9cessitant une distribution non uniforme des charges.<\/li>\n<\/ol>\n<p>Le choix du type de poutre \u00e0 adopter d\u00e9pend des <strong>exigences structurelles et fonctionnelles du projet<\/strong>. Il est important de prendre soigneusement en compte les caract\u00e9ristiques de la charge, la distribution des sollicitations et les d\u00e9formations pr\u00e9vues, afin de d\u00e9terminer la configuration la plus appropri\u00e9e pour obtenir une structure stable et s\u00fbre. Un ing\u00e9nieur en g\u00e9nie civil examinera attentivement ces variables pour identifier le type de poutre le plus adapt\u00e9 au contexte sp\u00e9cifique.<\/p>\n<div id=\"attachment_24558\" style=\"width: 810px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-24558\" class=\"size-full wp-image-24558 lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme.jpg\" alt=\"Classification des poutres en b\u00e9ton arm\u00e9\" width=\"800\" height=\"400\" \/><p id=\"caption-attachment-24558\" class=\"wp-caption-text\"><noscript><img decoding=\"async\" class=\"size-full wp-image-24558 lazyload\" src=\"https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme.jpg\" alt=\"Classification des poutres en b\u00e9ton arm\u00e9\" width=\"800\" height=\"400\" srcset=\"https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme.jpg 800w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme-300x150.jpg 300w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme-768x384.jpg 768w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme-705x353.jpg 705w, https:\/\/biblus.accasoftware.com\/fr\/wp-content\/uploads\/sites\/4\/2024\/04\/Classification-poutres-beton-arme-320x160.jpg 320w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/noscript> <em>Classification des poutres en b\u00e9ton arm\u00e9<\/em><\/p><\/div>\n<h2 id=\"comment-concevoir-les-poutres-en-beton-arme\">Comment concevoir les poutres en b\u00e9ton arm\u00e9<\/h2>\n<p>La conception et la v\u00e9rification des poutres en b\u00e9ton arm\u00e9 n\u00e9cessitent une s\u00e9rie d&rsquo;\u00e9tapes et d&rsquo;\u00e9valuations suivant les principes du g\u00e9nie civil.<\/p>\n<p>Voici les aspects fondamentaux que vous devrez prendre en compte lors de la conception&nbsp;:&nbsp;<\/p>\n<ul>\n<li><strong>analyse structurelle<\/strong>&nbsp;:&nbsp;r\u00e9alisez une analyse structurelle du b\u00e2timent pour d\u00e9terminer les actions (charges) agissant sur les poutres ;<\/li>\n<li><strong>analyse des sollicitations<\/strong>&nbsp;:&nbsp;d\u00e9terminez les sollicitations internes agissant sur la poutre. Cette analyse peut \u00eatre r\u00e9alis\u00e9e \u00e0 l&rsquo;aide de m\u00e9thodes analytiques ou de <a class=\"textualLink_edilus\" href=\"https:\/\/www.accasoftware.com\/fr\/logiciel-calcul-structure-genie-civil\" target=\"_blank\" rel=\"noopener\">logiciels de calcul structurel <\/a>;<\/li>\n<li><strong>v\u00e9rification de la r\u00e9sistance<\/strong>&nbsp;:&nbsp;comparez les sollicitations internes aux capacit\u00e9s de r\u00e9sistance du b\u00e9ton et de l&rsquo;acier. Assurez-vous de respecter les exigences en termes de r\u00e9sistance, de <a href=\"https:\/\/biblus.accasoftware.com\/fr\/ductilite-des-structures\/\" target=\"_blank\" rel=\"noopener\">ductilit\u00e9<\/a> et de stabilit\u00e9 d\u00e9finies par la r\u00e9glementation ;<\/li>\n<li><strong>dimensionnement des sections transversales<\/strong>&nbsp;:&nbsp;d\u00e9terminez les dimensions des sections transversales des poutres en fonction des sollicitations calcul\u00e9es et des exigences de r\u00e9sistance. Prenez \u00e9galement en compte les aspects de durabilit\u00e9, en \u00e9valuant l&rsquo;\u00e9paisseur minimale du b\u00e9ton de recouvrement pour prot\u00e9ger l&rsquo;armature des agents agressifs ;<\/li>\n<li><strong>calcul de l&rsquo;armature<\/strong>&nbsp;:&nbsp;concevez l&rsquo;armature n\u00e9cessaire pour r\u00e9sister aux sollicitations de flexion, de traction, de torsion et de cisaillement. Calculez la quantit\u00e9 d&rsquo;armature requise, la disposition des barres et l&rsquo;\u00e9paisseur du b\u00e9ton de recouvrement. Assurez-vous de respecter les exigences de distance minimale entre les barres et les conditions d&rsquo;ancrage ;<\/li>\n<li><strong>d\u00e9finition des d\u00e9tails constructifs<\/strong>&nbsp;:&nbsp;d\u00e9terminez les d\u00e9tails constructifs des poutres, tels que les connexions entre les barres d&rsquo;armature, les n\u0153uds avec les piliers, etc. Assurez-vous que les d\u00e9tails satisfont aux exigences de r\u00e9sistance, de durabilit\u00e9 et de facilit\u00e9 de construction ;<\/li>\n<li><strong>v\u00e9rification de la d\u00e9formabilit\u00e9<\/strong>&nbsp;:&nbsp;v\u00e9rifiez la d\u00e9formabilit\u00e9 de la poutre, en contr\u00f4lant les fissures et la d\u00e9formation \u00e9lastique ;<\/li>\n<li><strong>v\u00e9rification de la stabilit\u00e9<\/strong>&nbsp;:&nbsp;\u00e9valuez la stabilit\u00e9 globale de la poutre, en tenant compte des effets d&rsquo;instabilit\u00e9 tels que le flambement lat\u00e9ral ou l&rsquo;effondrement. Assurez-vous que la poutre est correctement ancr\u00e9e et que les conditions d&rsquo;instabilit\u00e9 sont pr\u00e9venues ou corrig\u00e9es.<\/li>\n<\/ul>\n<p>Le processus de conception et de v\u00e9rification des poutres en b\u00e9ton arm\u00e9 peut \u00eatre consid\u00e9rablement simplifi\u00e9, acc\u00e9l\u00e9r\u00e9 et rendu plus fiable gr\u00e2ce \u00e0 un <a class=\"textualLink_edilus\" href=\"https:\/\/www.accasoftware.com\/fr\/logiciel-calcul-structure-genie-civil\" target=\"_blank\" rel=\"noopener\">logiciel de calcul structurel sp\u00e9cifique pour les structures en b\u00e9ton arm\u00e9<\/a>. Essayez d\u00e8s maintenant cette solution innovante pour le calcul structurel des b\u00e2timents en b\u00e9ton arm\u00e9 et d\u00e9couvrez les nombreux avantages qu&rsquo;elle peut vous offrir.<\/p>\n<p>En utilisant ce syst\u00e8me, vous pourrez mod\u00e9liser votre structure <strong>dans un environnement BIM<\/strong> et tirer parti de la puissance du <strong>solveur FEM int\u00e9gr\u00e9<\/strong> pour r\u00e9aliser des analyses structurelles avanc\u00e9es. Vous aurez la possibilit\u00e9 de visualiser les r\u00e9sultats de mani\u00e8re graphique, de concevoir les armatures et de produire les livrables du projet dans un seul environnement. Le logiciel offre \u00e9galement la possibilit\u00e9 d&rsquo;int\u00e9grer des modules optionnels pour la conception et le <strong>calcul de structures en b\u00e9ton arm\u00e9<\/strong>. avec des \u00e9l\u00e9ments en ma\u00e7onnerie, en bois et en acier. Vous pourrez aborder la mise \u00e0 jour des b\u00e2timents existants et l&rsquo;analyse non lin\u00e9aire, le tout dans le m\u00eame environnement intuitif et puissant.<\/p>\n<div class='avia-iframe-wrap'><iframe title=\"Tutoriel Vid\u00e9o de EdiLus - R\u00e9aliser des grilles complexes - ACCA software\" width=\"1500\" height=\"844\" src=\"https:\/\/www.youtube.com\/embed\/1ndwmnwX5Og?feature=oembed&#038;enablejsapi=1\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<div class=\"international-product-banner-desktop\" style=\"text-align: center;\"><a class=\"product-banner-link\" href=\"https:\/\/www.accasoftware.com\/fr\/logiciel-calcul-structure-genie-civil\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"\/wp-content\/themes\/enfold-child\/img\/banner_prodotto\/edilus-fr.jpg\" alt=\"edilus\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"\/wp-content\/themes\/enfold-child\/img\/banner_prodotto\/edilus-fr.jpg\" alt=\"edilus\" \/><\/noscript><\/a><\/div>\n<div class=\"international-product-banner-mobile\" style=\"text-align: center;\"><a class=\"product-banner-link\" href=\"https:\/\/www.accasoftware.com\/fr\/logiciel-calcul-structure-genie-civil\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"\/wp-content\/themes\/enfold-child\/img\/banner_prodotto_mobile\/edilus-fr.jpg\" alt=\"edilus\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"\/wp-content\/themes\/enfold-child\/img\/banner_prodotto_mobile\/edilus-fr.jpg\" alt=\"edilus\" \/><\/noscript><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Les poutres en b\u00e9ton arm\u00e9 sont des \u00e9l\u00e9ments structuraux horizontaux compos\u00e9s d&rsquo;un m\u00e9lange de b\u00e9ton et d&rsquo;acier. D\u00e9couvrez comment les concevoir<\/p>\n","protected":false},"author":54,"featured_media":24425,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_data_scadenza_evento":"","_evento_nome":"","_evento_data":"","_evento_luogo":"","_evento_cta":"","keyword_en":"","keyword_es":"","keyword_fr":"poutre en b\u00e9ton arm\u00e9","keyword_de":"","keyword_ptb":"","_note_content":"<table dir=\"ltr\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" data-sheets-root=\"1\"><colgroup><col width=\"33\" \/><col width=\"580\" \/><col width=\"332\" \/><\/colgroup>\r\n<tbody>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam&quot;}\">reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:170}\">170<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;concrete beam reinforcement&quot;}\">concrete beam reinforcement<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:50}\">50<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;doubly reinforced concrete beam&quot;}\">doubly reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:30}\">30<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;concrete beam reinforcement design&quot;}\">concrete beam reinforcement design<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;cross section of reinforced concrete beam&quot;}\">cross section of reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;cross section reinforced concrete beam&quot;}\">cross section reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;design a reinforced concrete beam example&quot;}\">design a reinforced concrete beam example<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;design of doubly reinforced concrete beam&quot;}\">design of doubly reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;design of t beams reinforced concrete&quot;}\">design of t beams reinforced concrete<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;flexural analysis of reinforced concrete beams&quot;}\">flexural analysis of reinforced concrete beams<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;flexural design of reinforced concrete beams&quot;}\">flexural design of reinforced concrete beams<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;how to design reinforced concrete beam&quot;}\">how to design reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;moment of inertia reinforced concrete beam&quot;}\">moment of inertia reinforced concrete beam<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam design&quot;}\">reinforced concrete beam design<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam design example&quot;}\">reinforced concrete beam design example<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam detailing&quot;}\">reinforced concrete beam detailing<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam details&quot;}\">reinforced concrete beam details<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam example&quot;}\">reinforced concrete beam example<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;reinforced concrete beam section&quot;}\">reinforced concrete beam section<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;types of reinforced concrete beams&quot;}\">types of reinforced concrete beams<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;EN&quot;}\">EN<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;design beams reinforced concrete&quot;}\">design beams reinforced concrete<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutre en b\u00e9ton arm\u00e9&quot;}\">poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:170}\">170<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calcul d'une poutre en b\u00e9ton arm\u00e9&quot;}\">calcul d'une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calcul de poutre en b\u00e9ton arm\u00e9&quot;}\">calcul de poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;chemisage des poutres en b\u00e9ton arm\u00e9&quot;}\">chemisage des poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;comment calculer une poutre en b\u00e9ton arm\u00e9&quot;}\">comment calculer une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;comment dimensionner une poutre en b\u00e9ton arm\u00e9&quot;}\">comment dimensionner une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;comment faire une poutre en b\u00e9ton arm\u00e9&quot;}\">comment faire une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionnement d'une poutre en b\u00e9ton arm\u00e9&quot;}\">dimensionnement d'une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;d\u00e9finition poutre en b\u00e9ton arm\u00e9&quot;}\">d\u00e9finition poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ferraillage d'une poutre en b\u00e9ton arm\u00e9&quot;}\">ferraillage d'une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;les poutres en b\u00e9ton arm\u00e9&quot;}\">les poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;les types de poutres en b\u00e9ton arm\u00e9&quot;}\">les types de poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutre en b\u00e9ton arm\u00e9 calcul&quot;}\">poutre en b\u00e9ton arm\u00e9 calcul<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutre en b\u00e9ton arm\u00e9 d\u00e9finition&quot;}\">poutre en b\u00e9ton arm\u00e9 d\u00e9finition<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutre en t b\u00e9ton arm\u00e9&quot;}\">poutre en t b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutre en t\u00e9 b\u00e9ton arm\u00e9&quot;}\">poutre en t\u00e9 b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutre pr\u00e9fabriqu\u00e9e en b\u00e9ton arm\u00e9&quot;}\">poutre pr\u00e9fabriqu\u00e9e en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;poutres en b\u00e9ton arm\u00e9&quot;}\">poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;renforcement des poutres en b\u00e9ton arm\u00e9&quot;}\">renforcement des poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;r\u00e9aliser une poutre en b\u00e9ton arm\u00e9&quot;}\">r\u00e9aliser une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;type de poutre en b\u00e9ton arm\u00e9&quot;}\">type de poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;types de poutres en b\u00e9ton arm\u00e9&quot;}\">types de poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;une poutre en b\u00e9ton arm\u00e9&quot;}\">une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calcul des poutres en b\u00e9ton arm\u00e9&quot;}\">calcul des poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calcul des poutres en b\u00e9ton arm\u00e9 pdf&quot;}\">calcul des poutres en b\u00e9ton arm\u00e9 pdf<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionnement des poutres en b\u00e9ton arm\u00e9&quot;}\">dimensionnement des poutres en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionnement poutre en b\u00e9ton arm\u00e9&quot;}\">dimensionnement poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;d\u00e9finition d une poutre en b\u00e9ton arm\u00e9&quot;}\">d\u00e9finition d une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;d\u00e9finition d'une poutre en b\u00e9ton arm\u00e9&quot;}\">d\u00e9finition d'une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;FR&quot;}\">FR<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;fabriquer une poutre en b\u00e9ton arm\u00e9&quot;}\">fabriquer une poutre en b\u00e9ton arm\u00e9<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;vigas de concreto armado&quot;}\">vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:720}\">720<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;viga de concreto armado&quot;}\">viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:170}\">170<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;tabela de dimensionamento de vigas de concreto armado&quot;}\">tabela de dimensionamento de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:110}\">110<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionamento de vigas de concreto armado&quot;}\">dimensionamento de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:70}\">70<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;detalhamento de vigas de concreto armado&quot;}\">detalhamento de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:40}\">40<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo de vigas concreto armado&quot;}\">calculo de vigas concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo de vigas de concreto armado&quot;}\">calculo de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo de vigas de concreto armado gratis&quot;}\">calculo de vigas de concreto armado gratis<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo estrutural de vigas concreto armado&quot;}\">calculo estrutural de vigas concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo viga de concreto armado&quot;}\">calculo viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo vigas de concreto armado&quot;}\">calculo vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;como calcular viga de concreto armado&quot;}\">como calcular viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;como dimensionar vigas de concreto armado&quot;}\">como dimensionar vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;como fazer viga de concreto armado&quot;}\">como fazer viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;como fazer vigas de concreto armado&quot;}\">como fazer vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;concreto armado dimensionamento de vigas&quot;}\">concreto armado dimensionamento de vigas<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;c\u00e1lculo de vigas de concreto armado&quot;}\">c\u00e1lculo de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionamento de viga concreto armado&quot;}\">dimensionamento de viga concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionamento de vigas concreto armado&quot;}\">dimensionamento de vigas concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionamento vigas de concreto armado&quot;}\">dimensionamento vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;pilar e viga de concreto armado&quot;}\">pilar e viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;pilares e vigas de concreto armado&quot;}\">pilares e vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;tipos de vigas de concreto armado&quot;}\">tipos de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo de uma viga de concreto armado&quot;}\">calculo de uma viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;concreto armado calculo de vigas&quot;}\">concreto armado calculo de vigas<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;detalhamento de viga de concreto armado&quot;}\">detalhamento de viga de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;projeto de vigas de concreto armado&quot;}\">projeto de vigas de concreto armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;PTB&quot;}\">PTB<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;vigas de concreto armado defini\u00e7\u00e3o&quot;}\">vigas de concreto armado defini\u00e7\u00e3o<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:10}\">10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;vigas de hormigon armado&quot;}\">vigas de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:170}\">170<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;viga de hormigon armado&quot;}\">viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:70}\">70<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;armado de vigas de hormigon&quot;}\">armado de vigas de hormigon<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:40}\">40<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;largo maximo de una viga de hormigon armado&quot;}\">largo maximo de una viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:30}\">30<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;armadura de vigas hormigon armado&quot;}\">armadura de vigas hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calcular viga de hormigon armado&quot;}\">calcular viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo de vigas de hormigon armado&quot;}\">calculo de vigas de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculo viga de hormigon armado&quot;}\">calculo viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;calculos de vigas de hormigon armado&quot;}\">calculos de vigas de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;como dimensionar una viga de hormigon armado&quot;}\">como dimensionar una viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;detalle constructivo viga de hormigon armado&quot;}\">detalle constructivo viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensionado de vigas de hormigon armado&quot;}\">dimensionado de vigas de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;dimensiones de vigas de hormigon armado&quot;}\">dimensiones de vigas de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;partes de una viga de hormigon armado&quot;}\">partes de una viga de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;tipos de vigas de hormigon armado&quot;}\">tipos de vigas de hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;tipos de vigas hormigon armado&quot;}\">tipos de vigas hormigon armado<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;vigas de hormigon armado medidas&quot;}\">vigas de hormigon armado medidas<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;ES&quot;}\">ES<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;vigas de hormig\u00f3n armado caracter\u00edsticas&quot;}\">vigas de hormig\u00f3n armado caracter\u00edsticas<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;stahlbetonbalken&quot;}\">stahlbetonbalken<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:140}\">140<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;bemessung stahlbetonbalken&quot;}\">bemessung stahlbetonbalken<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;bemessung stahlbetonbalken beispiel&quot;}\">bemessung stahlbetonbalken beispiel<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;bewehrung stahlbetonbalken&quot;}\">bewehrung stahlbetonbalken<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;konstruieren eines stahlbetonbalkens&quot;}\">konstruieren eines stahlbetonbalkens<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;stahlbetonbalken bemessung&quot;}\">stahlbetonbalken bemessung<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;stahlbetonbalken berechnen&quot;}\">stahlbetonbalken berechnen<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;stahlbetonbalken berechnung&quot;}\">stahlbetonbalken berechnung<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;DE&quot;}\">DE<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;stahlbetonbalken bewehrung berechnen&quot;}\">stahlbetonbalken bewehrung berechnen<\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:3,&quot;3&quot;:20}\">20<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","footnotes":""},"categories":[4808],"tags":[4874],"class_list":["post-24424","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bim-calcul-structurel","tag-newsletter-340"],"yoast_head":"<!-- This site is optimized 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