{"id":4139,"date":"2019-06-02T13:28:00","date_gmt":"2019-06-02T13:28:00","guid":{"rendered":"https:\/\/www.buildsoft.eu\/les-regles-du-calcul-de-structure\/"},"modified":"2026-07-31T06:29:25","modified_gmt":"2026-07-31T06:29:25","slug":"les-regles-du-calcul-de-structure","status":"publish","type":"post","link":"https:\/\/www.buildsoft.eu\/fr\/les-regles-du-calcul-de-structure\/","title":{"rendered":"Les r\u00e8gles du calcul de structure"},"content":{"rendered":"\n<p>Bien construire un mod\u00e8le de structure repose sur quelques bonnes pratiques concr\u00e8tes : d\u00e9finir d\u00e8s le d\u00e9part vos crit\u00e8res ELU et ELS, sch\u00e9matiser la construction r\u00e9elle en un mod\u00e8le m\u00e9canique clair, bien d\u00e9finir les conditions aux limites, savoir reconna\u00eetre une structure isostatique de celle qui n\u00e9cessite r\u00e9ellement un logiciel de calcul, et toujours interpr\u00e9ter les r\u00e9sultats vous-m\u00eame plut\u00f4t que de faire confiance aveugl\u00e9ment aux r\u00e9glages par d\u00e9faut.<\/p>\n\n<h2 class=\"wp-block-heading\">Quels crit\u00e8res de conception une structure doit-elle respecter ?<\/h2>\n\n<p>Quelles exigences et quelles normes la structure doit-elle respecter ? Chaque projet s&rsquo;accompagne de crit\u00e8res de conception propres pour :<\/p>\n\n<ol class=\"wp-block-list\">\n<li>pour l&rsquo;\u00e9tat limite ultime ELU (r\u00e9sistance, stabilit\u00e9, fatigue,\u2026) ;<\/li>\n\n\n\n<li>pour l&rsquo;\u00e9tat limite de service ELS (d\u00e9formation maximale, fr\u00e9quence propre minimale, largeur de fissure maximale, contrainte du b\u00e9ton maximale,\u2026).<\/li>\n<\/ol>\n\n<h2 class=\"wp-block-heading\">Comment sch\u00e9matiser une structure en mod\u00e8le m\u00e9canique ?<\/h2>\n\n<p>Repr\u00e9sentez votre construction sous forme de mod\u00e8le m\u00e9canique, c&rsquo;est-\u00e0-dire en la limitant \u00e0 sa structure porteuse : l&rsquo;ensemble des poutres, colonnes, parois et sols qui transmettent les charges aux fondations. Les poutres et colonnes sont repr\u00e9sent\u00e9es uniquement par leurs axes. Les connexions avec le monde ext\u00e9rieur ou avec d&rsquo;autres \u00e9l\u00e9ments sont sch\u00e9matis\u00e9es \u00e0 l&rsquo;aide de conditions aux limites.<\/p>\n\n<h2 class=\"wp-block-heading\">8Que sont les conditions aux limites internes et externes, et pourquoi comptent-elles ?<\/h2>\n\n<p>Les conditions aux limites externes, ou \u00ab appuis \u00bb, d\u00e9finissent la transmission des efforts entre la construction et le monde fixe, par exemple un appui articul\u00e9 ou un appui fixe. Les appuis peuvent aussi se substituer \u00e0 des \u00e9l\u00e9ments structurels non inclus dans le mod\u00e8le de calcul.<\/p>\n\n<p>Une condition aux limites interne d\u00e9finit la transmission des efforts entre les \u00e9l\u00e9ments de structure mod\u00e9lis\u00e9s eux-m\u00eames, par exemple une articulation interne. Ces conditions peuvent exister entre barres, entre plaques, ou entre barres et plaques.<\/p>\n\n<p>Les conditions aux limites conditionnent en tr\u00e8s grande partie la r\u00e9partition des efforts dans le mod\u00e8le. Elles doivent d\u00e9crire le comportement r\u00e9el de la structure de fa\u00e7on aussi pr\u00e9cise que possible, une bonne d\u00e9finition est donc essentielle.<\/p>\n\n<h2 class=\"wp-block-heading\">Quand une structure est-elle isostatique, et quand avez-vous besoin d&rsquo;un logiciel de calcul ?<\/h2>\n\n<p>Avant de calculer une structure \u00e0 la main, d\u00e9terminez si la construction est isostatique ou hyperstatique. Cela vous indiquera la m\u00e9thode de calcul \u00e0 utiliser.<\/p>\n\n<p>Une structure est isostatique si ses efforts internes peuvent \u00eatre calcul\u00e9s uniquement \u00e0 partir des \u00e9quations d&rsquo;\u00e9quilibre statique, c&rsquo;est-\u00e0-dire qu&rsquo;il existe autant d&rsquo;\u00e9quations d&rsquo;\u00e9quilibre que de variables inconnues. Exemples :<\/p>\n\n<ul class=\"wp-block-list\">\n<li>Poutres en porte-\u00e0-faux<\/li>\n\n\n\n<li>Poutres continues sur supports roulants multiples<\/li>\n\n\n\n<li>Arcs \u00e0 trois articulations<\/li>\n\n\n\n<li>Certains types de poutres treillis<\/li>\n<\/ul>\n\n<p>Lorsqu&rsquo;une structure est hyperstatique, ses efforts internes ne d\u00e9pendent pas seulement des charges appliqu\u00e9es, mais aussi de la rigidit\u00e9 des \u00e9l\u00e9ments et du d\u00e9placement \u00e9ventuel des appuis, ce qui rend le calcul bien plus complexe. Toute structure qui n&rsquo;est pas isostatique est, par d\u00e9finition, hyperstatique.<\/p>\n\n<p>D\u00e8s qu&rsquo;une construction est hyperstatique, ou que vous pensez devoir la calculer plus d&rsquo;une fois, utilisez un logiciel de calcul. Laissez le logiciel s&rsquo;occuper du travail de fond via la m\u00e9thode des \u00e9l\u00e9ments finis et les solveurs matriciels, et offrez-vous une pause th\u00e9 ou caf\u00e9. [T\u00e9l\u00e9chargez notre essai gratuit](https:\/\/www.buildsoft.eu\/fr\/trial) et testez-le vous-m\u00eame.<\/p>\n\n<p>Essayez un logiciel\u00a0<a tabindex=\"-1\" href=\"https:\/\/www.buildsoft.eu\/fr\/trial\">t\u00e9l\u00e9chargez nos versions d&rsquo;essai<\/a>!<\/p>\n\n<h2 class=\"wp-block-heading\">Pourquoi ne pas faire confiance aux r\u00e9glages par d\u00e9faut d&rsquo;un logiciel MEF ?<\/h2>\n\n<p>Dans la m\u00e9thode des \u00e9l\u00e9ments finis, le mod\u00e8le est divis\u00e9 en un nombre fini de petits \u00e9l\u00e9ments pour le rendre accessible au calcul, ces petits \u00e9l\u00e9ments forment ce qu&rsquo;on appelle un maillage. Le maillage est constitu\u00e9 avant que le calcul proprement dit (l&rsquo;analyse \u00e9lastique) ne d\u00e9marre. La taille de maillage adapt\u00e9e d\u00e9pend de la forme et des dimensions du mod\u00e8le : un maillage trop fin allonge inutilement le temps de calcul, un maillage trop grossier peut rendre le mod\u00e8le artificiellement rigide et l&#8217;emp\u00eacher de se d\u00e9former de fa\u00e7on r\u00e9aliste.<\/p>\n\n<h2 class=\"wp-block-heading\">Qui interpr\u00e8te les r\u00e9sultats, le logiciel ou l&rsquo;ing\u00e9nieur ?<\/h2>\n\n<p>Une fois le calcul effectu\u00e9, \u00e0 la main ou par logiciel, c&rsquo;est toujours \u00e0 l&rsquo;ing\u00e9nieur qu&rsquo;il revient d&rsquo;interpr\u00e9ter correctement les r\u00e9sultats. Correspondent-ils aux attentes, et sont-ils acceptables ? Si ce n&rsquo;est pas le cas, le mod\u00e8le doit \u00eatre ajust\u00e9, en modifiant des sections ou des mat\u00e9riaux, ou en ajoutant des \u00e9l\u00e9ments.<\/p>\n\n<h2 class=\"wp-block-heading\">Pourquoi la formation \u00e0 votre logiciel de calcul compte-t-elle ?<\/h2>\n\n<p>Vous utilisez un logiciel de calcul ? Suivez une formation ad\u00e9quate. Une bonne formation vous donne les comp\u00e9tences n\u00e9cessaires pour g\u00e9rer vos projets plus efficacement, et vous enseigne le contexte th\u00e9orique et le champ d&rsquo;application des outils que vous utilisez.<\/p>\n\n<p>BuildSoft organise r\u00e9guli\u00e8rement des formations en groupe dans diff\u00e9rentes villes. Consultez notre <br\/><a href=\"https:\/\/www.buildsoft.eu\/fr\/events\">calendrier<\/a> pour en savoir plus.<\/p>\n\n<h2 class=\"wp-block-heading\" id=\"FAQ\">FAQ<\/h2>\n<div class=\"wp-block-uagb-faq uagb-faq__outer-wrap uagb-block-fe71c529 uagb-faq-icon-row uagb-faq-layout-accordion uagb-faq-expand-first-true uagb-faq-inactive-other-true uagb-faq__wrap uagb-buttons-layout-wrap uagb-faq-equal-height     \" data-faqtoggle=\"true\" role=\"tablist\"><script type=\"application\/ld+json\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@type\":\"FAQPage\",\"@id\":\"https:\\\/\\\/www.buildsoft.eu\\\/fr\\\/les-regles-du-calcul-de-structure\\\/\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"Quelle est la diff\\u00e9rence pratique entre l'ELU et l'ELS ?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"L'\\u00e9tat limite ultime (ELU) v\\u00e9rifie que la structure peut r\\u00e9sister aux charges en toute s\\u00e9curit\\u00e9 sans s'effondrer : r\\u00e9sistance, stabilit\\u00e9, fatigue. L'\\u00e9tat limite de service (ELS) v\\u00e9rifie que la structure se comporte bien en usage normal : d\\u00e9formation, vibrations, largeur de fissure, pour qu'elle ne paraisse ni ne se comporte anormalement, m\\u00eame si elle reste structurellement s\\u00fbre. Une conception doit satisfaire les deux.\"}},{\"@type\":\"Question\",\"name\":\"Puis-je me passer d'un logiciel de calcul si ma structure est isostatique ?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Oui, une structure isostatique (une simple poutre en porte-\\u00e0-faux, par exemple) peut \\u00eatre r\\u00e9solue \\u00e0 la main avec les seules \\u00e9quations d'\\u00e9quilibre statique. D\\u00e8s qu'une structure devient hyperstatique, ou que vous devez r\\u00e9p\\u00e9ter le calcul plusieurs fois, le calcul manuel devient vite peu pratique et le logiciel de calcul devient le choix le plus efficace.\"}},{\"@type\":\"Question\",\"name\":\"Que se passe-t-il concr\\u00e8tement si je choisis la mauvaise taille de maillage en logiciel MEF ?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Un maillage trop fin ne rend pas le r\\u00e9sultat faux, il rend simplement le calcul plus long que n\\u00e9cessaire. Un maillage trop grossier est le vrai risque : il peut rendre le mod\\u00e8le artificiellement rigide, de sorte qu'il ne se d\\u00e9forme pas comme la structure r\\u00e9elle, ce qui donne des r\\u00e9sultats moins pr\\u00e9cis plut\\u00f4t que simplement plus lents.\"}}]}<\/script><div class=\"wp-block-uagb-faq-child uagb-faq-child__outer-wrap uagb-faq-item uagb-block-09dad7e6 \" role=\"tab\" tabindex=\"0\"><div class=\"uagb-faq-questions-button uagb-faq-questions\">\t\t\t<span class=\"uagb-icon uagb-faq-icon-wrap\">\n\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 448 512\"><path d=\"M432 256c0 17.69-14.33 32.01-32 32.01H256v144c0 17.69-14.33 31.99-32 31.99s-32-14.3-32-31.99v-144H48c-17.67 0-32-14.32-32-32.01s14.33-31.99 32-31.99H192v-144c0-17.69 14.33-32.01 32-32.01s32 14.32 32 32.01v144h144C417.7 224 432 238.3 432 256z\"><\/path><\/svg>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"uagb-icon-active uagb-faq-icon-wrap\">\n\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 448 512\"><path d=\"M400 288h-352c-17.69 0-32-14.32-32-32.01s14.31-31.99 32-31.99h352c17.69 0 32 14.3 32 31.99S417.7 288 400 288z\"><\/path><\/svg>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t<span class=\"uagb-question\">Quelle est la diff\u00e9rence pratique entre l&rsquo;ELU et l&rsquo;ELS ?<\/span><\/div><div class=\"uagb-faq-content\"><p>L&rsquo;\u00e9tat limite ultime (ELU) v\u00e9rifie que la structure peut r\u00e9sister aux charges en toute s\u00e9curit\u00e9 sans s&rsquo;effondrer : r\u00e9sistance, stabilit\u00e9, fatigue. L&rsquo;\u00e9tat limite de service (ELS) v\u00e9rifie que la structure se comporte bien en usage normal : d\u00e9formation, vibrations, largeur de fissure, pour qu&rsquo;elle ne paraisse ni ne se comporte anormalement, m\u00eame si elle reste structurellement s\u00fbre. Une conception doit satisfaire les deux.<\/p><\/div><\/div><div class=\"wp-block-uagb-faq-child uagb-faq-child__outer-wrap uagb-faq-item uagb-block-eef45fec \" role=\"tab\" tabindex=\"0\"><div class=\"uagb-faq-questions-button uagb-faq-questions\">\t\t\t<span class=\"uagb-icon uagb-faq-icon-wrap\">\n\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 448 512\"><path d=\"M432 256c0 17.69-14.33 32.01-32 32.01H256v144c0 17.69-14.33 31.99-32 31.99s-32-14.3-32-31.99v-144H48c-17.67 0-32-14.32-32-32.01s14.33-31.99 32-31.99H192v-144c0-17.69 14.33-32.01 32-32.01s32 14.32 32 32.01v144h144C417.7 224 432 238.3 432 256z\"><\/path><\/svg>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"uagb-icon-active uagb-faq-icon-wrap\">\n\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 448 512\"><path d=\"M400 288h-352c-17.69 0-32-14.32-32-32.01s14.31-31.99 32-31.99h352c17.69 0 32 14.3 32 31.99S417.7 288 400 288z\"><\/path><\/svg>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t<span class=\"uagb-question\">Puis-je me passer d&rsquo;un logiciel de calcul si ma structure est isostatique ?<\/span><\/div><div class=\"uagb-faq-content\"><p>Oui, une structure isostatique (une simple poutre en porte-\u00e0-faux, par exemple) peut \u00eatre r\u00e9solue \u00e0 la main avec les seules \u00e9quations d&rsquo;\u00e9quilibre statique. D\u00e8s qu&rsquo;une structure devient hyperstatique, ou que vous devez r\u00e9p\u00e9ter le calcul plusieurs fois, le calcul manuel devient vite peu pratique et le logiciel de calcul devient le choix le plus efficace.<\/p><\/div><\/div><div class=\"wp-block-uagb-faq-child uagb-faq-child__outer-wrap uagb-faq-item uagb-block-3a3c8418 \" role=\"tab\" tabindex=\"0\"><div class=\"uagb-faq-questions-button uagb-faq-questions\">\t\t\t<span class=\"uagb-icon uagb-faq-icon-wrap\">\n\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 448 512\"><path d=\"M432 256c0 17.69-14.33 32.01-32 32.01H256v144c0 17.69-14.33 31.99-32 31.99s-32-14.3-32-31.99v-144H48c-17.67 0-32-14.32-32-32.01s14.33-31.99 32-31.99H192v-144c0-17.69 14.33-32.01 32-32.01s32 14.32 32 32.01v144h144C417.7 224 432 238.3 432 256z\"><\/path><\/svg>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"uagb-icon-active uagb-faq-icon-wrap\">\n\t\t\t\t\t\t\t\t<svg xmlns=\"https:\/\/www.w3.org\/2000\/svg\" viewBox= \"0 0 448 512\"><path d=\"M400 288h-352c-17.69 0-32-14.32-32-32.01s14.31-31.99 32-31.99h352c17.69 0 32 14.3 32 31.99S417.7 288 400 288z\"><\/path><\/svg>\n\t\t\t\t\t\t\t<\/span>\n\t\t\t<span class=\"uagb-question\">Que se passe-t-il concr\u00e8tement si je choisis la mauvaise taille de maillage en logiciel MEF ?<\/span><\/div><div class=\"uagb-faq-content\"><p>Un maillage trop fin ne rend pas le r\u00e9sultat faux, il rend simplement le calcul plus long que n\u00e9cessaire. Un maillage trop grossier est le vrai risque : il peut rendre le mod\u00e8le artificiellement rigide, de sorte qu&rsquo;il ne se d\u00e9forme pas comme la structure r\u00e9elle, ce qui donne des r\u00e9sultats moins pr\u00e9cis plut\u00f4t que simplement plus lents.<\/p><\/div><\/div><\/div>\n<h2 class=\"wp-block-heading\">\u00c9tape suivante<\/h2>\n\n<p>Envie d&rsquo;un logiciel qui vous aide \u00e0 bien d\u00e9finir vos conditions aux limites, vos r\u00e9glages de maillage et l&rsquo;interpr\u00e9tation des r\u00e9sultats d\u00e8s le premier essai ? <a href=\"https:\/\/www.buildsoft.eu\/fr\/essai-gratuit\/\">Essayez Diamonds gratuitement pendant 30 jours<\/a>, pleinement fonctionnel, sans engagement.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bien construire un mod\u00e8le de structure repose sur quelques bonnes pratiques concr\u00e8tes : d\u00e9finir d\u00e8s le d\u00e9part vos crit\u00e8res ELU [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3210,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"_jet_sm_ready_style":"","_jet_sm_style":"","_jet_sm_controls_values":"","_jet_sm_fonts_collection":"","_jet_sm_fonts_links":"","footnotes":""},"categories":[84],"tags":[],"class_list":["post-4139","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ingenierie-structurelle"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Les r\u00e8gles du calcul de structure | BuildSoft<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.buildsoft.eu\/fr\/les-regles-du-calcul-de-structure\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" 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