{"id":28545,"date":"2024-04-29T16:40:04","date_gmt":"2024-04-29T14:40:04","guid":{"rendered":"https:\/\/biblus.accasoftware.com\/ptb\/?p=28545"},"modified":"2024-05-10T12:54:41","modified_gmt":"2024-05-10T10:54:41","slug":"projeto-estrutural-de-vigas-de-concreto-armado","status":"publish","type":"post","link":"https:\/\/biblus.accasoftware.com\/ptb\/projeto-estrutural-de-vigas-de-concreto-armado\/","title":{"rendered":"Projeto estrutural de vigas de concreto armado"},"content":{"rendered":"<p class=\"sommario\">As vigas de concreto armado s\u00e3o elementos estruturais horizontais compostos por uma combina\u00e7\u00e3o de concreto e a\u00e7o. Descubra como projet\u00e1-las<\/p>\n<p><!--more--><\/p>\n<p>As vigas de concreto armado s\u00e3o elementos estruturais de fundamental import\u00e2ncia no campo da constru\u00e7\u00e3o moderna. Destacam-se pela capacidade de resistir \u00e0s solicita\u00e7\u00f5es de tra\u00e7\u00e3o, gra\u00e7as ao uso de armaduras de a\u00e7o incorporadas no concreto.<\/p>\n<p>Neste artigo, exploraremos as diferentes tipologias de vigas de concreto armado utilizadas na ind\u00fastria da constru\u00e7\u00e3o. Analisaremos as caracter\u00edsticas de cada uma delas, examinando as aplica\u00e7\u00f5es espec\u00edficas em v\u00e1rios contextos estruturais.<\/p>\n<p>Se voc\u00ea \u00e9 um profissional envolvido no projeto estrutural, saiba que pode contar com a ajuda de ferramentas avan\u00e7adas para melhorar a efici\u00eancia e a confiabilidade de seus processos. Explore agora as potencialidades de uma solu\u00e7\u00e3o espec\u00edfica <a class=\"textualLink_edilus\" href=\"https:\/\/www.accasoftware.com\/ptb\/software-calculo-estrutural\" target=\"_blank\" rel=\"noopener\">para modelagem e an\u00e1lise de estruturas de concreto armado<\/a>. Utilizando esses sistemas, voc\u00ea ter\u00e1 a possibilidade de importar o modelo arquitet\u00f4nico IFC do seu edif\u00edcio no ambiente BIM e modelar a estrutura com objetos param\u00e9tricos inteligentes. Al\u00e9m disso, poder\u00e1 aproveitar a pot\u00eancia do solucionador FEM integrado para realizar an\u00e1lises avan\u00e7adas em tempo r\u00e1pido e avaliar de forma confi\u00e1vel a resposta estrutural de seus edif\u00edcios.<\/p>\n<p>Vamos explorar agora todas as vantagens das vigas de concreto armado e entender como esses elementos estruturais podem contribuir para a resist\u00eancia, seguran\u00e7a e estabilidade das constru\u00e7\u00f5es.<\/p>\n<h2 id=\"vigas-de-concreto-armado\">Vigas de concreto armado<\/h2>\n<p>As vigas de concreto armado s\u00e3o elementos estruturais utilizados na constru\u00e7\u00e3o de edif\u00edcios e infraestruturas. Constituem, especificamente, os <strong>componentes horizontais das estruturas de &#8220;quadro&#8221;<\/strong> realizadas com o uso de concreto armado.<\/p>\n<p>Esse tipo de material deriva da combina\u00e7\u00e3o de concreto, que fornece resist\u00eancia \u00e0 compress\u00e3o, com o a\u00e7o, que oferece alta resist\u00eancia \u00e0 tra\u00e7\u00e3o. O uso do concreto armado permite aproveitar as propriedades complementares dos dois materiais e criar <strong>estruturas muito resistentes<\/strong>, capazes de suportar tanto esfor\u00e7os de tra\u00e7\u00e3o quanto de compress\u00e3o.<\/p>\n<p>No campo da constru\u00e7\u00e3o, existem diferentes tipos de vigas de concreto armado, cada uma projetada para atender \u00e0 necessidades espec\u00edficas. Vamos explorar juntos algumas das tipologias mais comuns, com o objetivo de destacar suas caracter\u00edsticas distintivas.<\/p>\n<div id=\"attachment_205718\" class=\"wp-caption aligncenter\" style=\"width: 1210px;\">\n<div id=\"attachment_205718\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-205718\" class=\"wp-image-205718 size-full lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/biblus.accasoftware.com\/ptb\/wp-content\/uploads\/sites\/5\/2024\/04\/travi-ca.webp\" alt=\"Travi in C.A.\" width=\"1200\" height=\"800\" aria-describedby=\"caption-attachment-205718\" \/><p id=\"caption-attachment-205718\" class=\"wp-caption-text\"><noscript><img decoding=\"async\" class=\"wp-image-205718 size-full lazyload\" src=\"https:\/\/biblus.accasoftware.com\/ptb\/wp-content\/uploads\/sites\/5\/2024\/04\/travi-ca.webp\" alt=\"Travi in C.A.\" width=\"1200\" height=\"800\" aria-describedby=\"caption-attachment-205718\" \/><\/noscript> Viga em concreto armado.<\/p><\/div>\n<\/div>\n<h2 id=\"tipologias-de-vigas-de-concreto-armado\">Tipologias de vigas de concreto armado<\/h2>\n<p>A versatilidade do concreto armado permite a realiza\u00e7\u00e3o de vigas em v\u00e1rias formas, tipologias e dimens\u00f5es, adapt\u00e1veis \u00e0s necessidades espec\u00edficas de um projeto. Uma primeira classifica\u00e7\u00e3o desses elementos pode ser feita com base nos <strong>modos construtivos<\/strong>, distinguindo entre:<\/p>\n<ol>\n<li><strong>vigas de concreto armado comum<\/strong>: s\u00e3o realizadas por meio de um preenchimento de concreto, que \u00e9 inserido em formas adequadas, preparadas para conferir \u00e0 viga a forma desejada, e dentro das quais a armadura met\u00e1lica \u00e9 previamente posicionada. Esta \u00faltima, \u00e9 constitu\u00edda por barras de a\u00e7o de ader\u00eancia melhorada que t\u00eam o objetivo de garantir a m\u00e1xima ades\u00e3o entre os dois materiais (concreto e a\u00e7o), evitando fen\u00f4menos de desprendimento. As vigas de concreto armado comum s\u00e3o amplamente utilizadas em v\u00e1rios contextos estruturais, como edif\u00edcios residenciais, comerciais e industriais. S\u00e3o pr\u00f3prias para lajes, coberturas, vigas de suporte e vigas de beiral. Sua versatilidade e facilidade de realiza\u00e7\u00e3o as tornam uma escolha comum na maioria das aplica\u00e7\u00f5es construtivas;<\/li>\n<li><strong>vigas de concreto armado protendido<\/strong>: diferem das comuns pelo fato que a armadura \u00e9 tensionada antes do lan\u00e7amento do concreto. Esse processo permite melhorar a resist\u00eancia da viga, pois a tens\u00e3o pr\u00e9-existente contraria as solicita\u00e7\u00f5es de tra\u00e7\u00e3o durante a carga de servi\u00e7o. As vigas pr\u00e9-tracionadas podem, portanto, suportar cargas mais elevadas em compara\u00e7\u00e3o com as vigas de concreto armado comum. A pr\u00e9-compress\u00e3o permite reduzir a se\u00e7\u00e3o transversal da viga, otimizando a efici\u00eancia estrutural e possibilitando a cria\u00e7\u00e3o de v\u00e3os maiores sem a necessidade de suportes intermedi\u00e1rios. As vigas em protendido s\u00e3o comumente utilizadas em grandes estruturas, como pontes, viadutos, edif\u00edcios industriais, etc. S\u00e3o ideais para projetos onde exigem uma maior capacidade de carga e uma redu\u00e7\u00e3o das deforma\u00e7\u00f5es.<\/li>\n<\/ol>\n<p>Uma subdivis\u00e3o adicional das vigas de concreto armado diz respeito \u00e0s <strong>condi\u00e7\u00f5es de apoio<\/strong>. Essa classifica\u00e7\u00e3o leva em considera\u00e7\u00e3o as formas com a quais as extremidades das vigas s\u00e3o apoiadas ou vinculadas. Aqui est\u00e3o algumas das principais categorias:<\/p>\n<ol>\n<li><strong>vigas simplesmente apoiadas<\/strong>: neste tipo de viga, as extremidades s\u00e3o apoiadas em suportes laterais que permitem sua rota\u00e7\u00e3o. Trata-se de um tipo de v\u00ednculo que simplifica a an\u00e1lise estrutural, pois a viga pode se mover livremente sem transmitir momentos fletidos aos apoios. Essa configura\u00e7\u00e3o \u00e9 frequentemente usada quando se deseja uma distribui\u00e7\u00e3o uniforme da carga ao longo da viga, garantindo ao mesmo tempo uma solu\u00e7\u00e3o estrutural relativamente simples;<\/li>\n<li><strong>vigas engastadas<\/strong>: est\u00e3o sujeitas a v\u00ednculos r\u00edgidos nas extremidades, que impedem tanto a transla\u00e7\u00e3o quanto a rota\u00e7\u00e3o. Esse tipo de viga \u00e9 usado em situa\u00e7\u00f5es em que \u00e9 necess\u00e1rio resistir a cargas e solicita\u00e7\u00f5es particularmente elevadas, como em funda\u00e7\u00f5es ou estruturas s\u00edsmicas;<\/li>\n<li><strong>vigas cont\u00ednuas<\/strong>: as vigas cont\u00ednuas s\u00e3o suportadas por v\u00e1rios pontos intermedi\u00e1rios, como colunas ou pilares. Esses pontos intermedi\u00e1rios permitem uma distribui\u00e7\u00e3o mais uniforme das cargas ao longo da viga. As vigas cont\u00ednuas s\u00e3o usadas para cobrir v\u00e3os maiores e reduzir a deforma\u00e7\u00e3o da viga;<\/li>\n<li><strong>vigas em balan\u00e7o<\/strong>: s\u00e3o caracterizadas por uma extremidade que se projeta al\u00e9m do ponto de apoio. Essa configura\u00e7\u00e3o permite criar espa\u00e7os amplos sem a necessidade de suportes intermedi\u00e1rios. As vigas em balan\u00e7o s\u00e3o comuns nas fachadas de edif\u00edcios ou em estruturas suspensas como pontes.<\/li>\n<\/ol>\n<p>Considerando o aspecto geom\u00e9trico, \u00e9 poss\u00edvel fazer uma sub-classifica\u00e7\u00e3o das vigas de concreto armado, distinguindo-as com base nas suas <strong>caracter\u00edsticas formais<\/strong> entre:<\/p>\n<ol>\n<li><strong>vigas de se\u00e7\u00e3o retangular<\/strong>: s\u00e3o as formas mais comuns entre as vigas de concreto armado. T\u00eam uma se\u00e7\u00e3o transversal retangular, com uma largura geralmente menor que a altura. Essa forma \u00e9 simples de realizar e oferece boa resist\u00eancia \u00e0 flex\u00e3o;<\/li>\n<li><strong>vigas em T<\/strong>: t\u00eam uma se\u00e7\u00e3o transversal que lembra a letra &#8220;T&#8221;. S\u00e3o compostas por uma parte central chamada &#8220;alma&#8221; e duas partes laterais colocadas na extremidade superior da viga, chamadas &#8220;asas&#8221;. As vigas em T s\u00e3o frequentemente usadas em situa\u00e7\u00f5es nas quais \u00e9 necess\u00e1rio fornecer maior resist\u00eancia \u00e0 a\u00e7\u00e3o de cisalhamento;<\/li>\n<li><strong>vigas em duplo T<\/strong>: s\u00e3o semelhantes \u00e0s vigas em T, mas apresentam asas tanto na extremidade superior quanto na inferior da alma. Essa configura\u00e7\u00e3o oferece maior resist\u00eancia \u00e0 flex\u00e3o e tor\u00e7\u00e3o em compara\u00e7\u00e3o com vigas retangulares ou em T. As vigas em duplo T s\u00e3o comumente usadas em pontes e estruturas de grande porte;<\/li>\n<li><strong>vigas de se\u00e7\u00e3o composta<\/strong>: s\u00e3o compostas por dois ou mais materiais diferentes combinados para aproveitar as caracter\u00edsticas vantajosas de cada material. Por exemplo, uma viga pode ser composta por partes feitas de a\u00e7o para estruturas met\u00e1licas e partes feitas de concreto armado, combinadas entre si por meio de um sistema de conex\u00e3o adequado. Esse tipo de viga oferece maior resist\u00eancia e rigidez em compara\u00e7\u00e3o \u00e0 vigas de concreto armado tradicionais;<\/li>\n<li><strong>vigas de se\u00e7\u00e3o vari\u00e1vel<\/strong>: t\u00eam uma se\u00e7\u00e3o transversal que muda ao longo de seu comprimento. Isso pode ser feito para se adaptar \u00e0s diferentes solicita\u00e7\u00f5es e requisitos estruturais ao longo da viga. As vigas de se\u00e7\u00e3o vari\u00e1vel s\u00e3o frequentemente usadas em estruturas complexas ou em situa\u00e7\u00f5es em que \u00e9 necess\u00e1ria uma distribui\u00e7\u00e3o n\u00e3o uniforme das cargas.<\/li>\n<\/ol>\n<p>A escolha da tipologia de viga a ser adotada depende das <strong>necessidades estruturais e funcionais do projeto<\/strong>. \u00c9 importante considerar cuidadosamente as caracter\u00edsticas da carga, a distribui\u00e7\u00e3o das solicita\u00e7\u00f5es e as deforma\u00e7\u00f5es previstas, a fim de determinar a configura\u00e7\u00e3o mais apropriada para obter uma estrutura est\u00e1vel e segura. Um engenheiro estrutural avaliar\u00e1 cuidadosamente essas vari\u00e1veis para identificar a tipologia de viga mais adequada ao contexto espec\u00edfico.<\/p>\n<div id=\"attachment_205716\" class=\"wp-caption aligncenter\" style=\"width: 810px;\">\n<div id=\"attachment_205716\" style=\"width: 810px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-205716\" class=\"wp-image-205716 size-full lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/biblus.accasoftware.com\/ptb\/wp-content\/uploads\/sites\/5\/2024\/04\/Classification-of-reinforced-concrete-beams.jpg\" alt=\"Classificazione travi cemento armato\" width=\"800\" height=\"600\" aria-describedby=\"caption-attachment-205716\" \/><p id=\"caption-attachment-205716\" class=\"wp-caption-text\"><noscript><img decoding=\"async\" class=\"wp-image-205716 size-full lazyload\" src=\"https:\/\/biblus.accasoftware.com\/ptb\/wp-content\/uploads\/sites\/5\/2024\/04\/Classification-of-reinforced-concrete-beams.jpg\" alt=\"Classificazione travi cemento armato\" width=\"800\" height=\"600\" aria-describedby=\"caption-attachment-205716\" \/><\/noscript> Classificazione travi cemento armato<\/p><\/div>\n<\/div>\n<h2 id=\"como-projetar-as-vigas-de-concreto-armado\">Como projetar as vigas de concreto armado<\/h2>\n<p>O projeto e a verifica\u00e7\u00e3o das vigas de concreto armado requerem uma s\u00e9rie de etapas e avalia\u00e7\u00f5es que seguem os princ\u00edpios da engenharia estrutural.<\/p>\n<p>Aqui est\u00e3o os aspectos fundamentais que voc\u00ea deve considerar durante o projeto:<\/p>\n<ul>\n<li><strong>an\u00e1lise estrutural<\/strong>: realize uma an\u00e1lise estrutural do edif\u00edcio para determinar as a\u00e7\u00f5es (cargas) que atuam nas vigas;<\/li>\n<li><strong>an\u00e1lise das solicita\u00e7\u00f5es<\/strong>: determine as solicita\u00e7\u00f5es internas que atuam na viga. Use m\u00e9todos anal\u00edticos ou um <a class=\"textualLink_edilus\" href=\"https:\/\/www.accasoftware.com\/ptb\/software-calculo-estrutural\" target=\"_blank\" rel=\"noopener\">software de c\u00e1lculo estrutural<\/a>;<\/li>\n<li><strong>verifica\u00e7\u00e3o da resist\u00eancia<\/strong>: compare as solicita\u00e7\u00f5es internas com as capacidades de resist\u00eancia do concreto e do a\u00e7o. Certifique-se de atender aos requisitos de resist\u00eancia, <a href=\"https:\/\/biblus.accasoftware.com\/ptb\/ductilidade-estrutural\/\" target=\"_blank\" rel=\"noopener\">ductilidade<\/a> e estabilidade definidos pela normativa;<\/li>\n<li><strong>dimensionamento das se\u00e7\u00f5es transversais<\/strong>: determine as dimens\u00f5es das se\u00e7\u00f5es transversais das vigas com base nas solicita\u00e7\u00f5es calculadas e nos requisitos de resist\u00eancia. Considere tamb\u00e9m os aspectos de durabilidade, avaliando a cobertura m\u00ednima do concreto (cobertura) para proteger a armadura contra agentes agressivos;<\/li>\n<li><strong>c\u00e1lculo da armadura<\/strong>: projete a armadura necess\u00e1ria para resistir \u00e0s solicita\u00e7\u00f5es de flex\u00e3o, tra\u00e7\u00e3o, tor\u00e7\u00e3o e cisalhamento. Calcule a quantidade de armadura necess\u00e1ria, o espa\u00e7amento das barras e a espessura do cobrimento. Certifique-se de atender aos requisitos de dist\u00e2ncia m\u00ednima entre as barras e \u00e0s condi\u00e7\u00f5es de ancoragem;<\/li>\n<li><strong>defini\u00e7\u00e3o dos detalhes construtivos<\/strong>: defina os detalhes construtivos das vigas, como as conex\u00f5es entre as barras de armadura, os n\u00f3s com os pilares, etc. Certifique-se de que os detalhes atendam aos requisitos de resist\u00eancia, durabilidade e facilidade de constru\u00e7\u00e3o;<\/li>\n<li><strong>verifica\u00e7\u00e3o da deformabilidade<\/strong>: verifique a deformabilidade da viga, controlando as fissuras e a deforma\u00e7\u00e3o el\u00e1stica;<\/li>\n<li><strong>verifica\u00e7\u00e3o da estabilidade<\/strong>: avalie a estabilidade integral da viga, levando em considera\u00e7\u00e3o os efeitos de instabilidade, como o tombamento lateral ou o colapso. Confira se a viga est\u00e1 adequadamente apoiada e as condi\u00e7\u00f5es de instabilidade estejam previstas ou corrigidas.<\/li>\n<\/ul>\n<p>Com o uso de um <a class=\"textualLink_edilus\" href=\"https:\/\/www.accasoftware.com\/ptb\/software-calculo-estrutural\" target=\"_blank\" rel=\"noopener\">software de c\u00e1lculo estrutural espec\u00edfico para estruturas de concreto armado<\/a> o processo de projeta\u00e7\u00e3o e verifica\u00e7\u00e3o das vigas de concreto armado pode ser significativamente simplificado, acelerado e tornar-se mais confi\u00e1vel.\u00a0 Experimente agora essa solu\u00e7\u00e3o inovadora para o c\u00e1lculo estrutural de edif\u00edcios de concreto armado e descubra as in\u00fameras vantagens que ela pode oferecer.<\/p>\n<p>Ao utilizar esse sistema, voc\u00ea poder\u00e1 modelar sua estrutura <strong>no ambiente BIM<\/strong> e aproveitar a pot\u00eancia do <strong>solucionador FEM integrado<\/strong> para realizar an\u00e1lises estruturais avan\u00e7adas. Voc\u00ea ter\u00e1 a possibilidade de visualizar os resultados de forma gr\u00e1fica, projetar as armaduras e produzir os documentos do projeto dentro de um \u00fanico ambiente. O software tamb\u00e9m oferece a possibilidade de integrar m\u00f3dulos opcionais para o projeto e o <strong>c\u00e1lculo de estruturas de concreto armado<\/strong> com elementos de alvenaria, madeira e a\u00e7o. Voc\u00ea poder\u00e1 trabalhar com a reabilita\u00e7\u00e3o de edif\u00edcios existentes e an\u00e1lises n\u00e3o lineares, tudo dentro de um \u00fanico ambiente intuitivo e poderoso.<\/p>\n<div class='avia-iframe-wrap'><iframe title=\"V\u00eddeo Tutorial de EdiLus - Realiza\u00e7\u00e3o de grades complexas - ACCA software\" width=\"1500\" height=\"844\" src=\"https:\/\/www.youtube.com\/embed\/fQxLDff-y7E?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\/ptb\/software-calculo-estrutural\" 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-ptb.jpg\" alt=\"edilus\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"\/wp-content\/themes\/enfold-child\/img\/banner_prodotto\/edilus-ptb.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\/ptb\/software-calculo-estrutural\" 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-ptb.jpg\" alt=\"edilus\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"\/wp-content\/themes\/enfold-child\/img\/banner_prodotto_mobile\/edilus-ptb.jpg\" alt=\"edilus\" \/><\/noscript><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>As vigas de concreto armado s\u00e3o elementos estruturais horizontais compostos por uma combina\u00e7\u00e3o de concreto e a\u00e7o. Descubra como projet\u00e1-las<\/p>\n","protected":false},"author":54,"featured_media":28546,"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":"","keyword_de":"","keyword_ptb":"vigas de concreto armado","_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":[5272],"tags":[5340],"class_list":["post-28545","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bim-calculo-estrutural","tag-newsletter-340"],"yoast_head":"<!-- This site is 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