2 Notes de Calcul de Semelle isolée et semelle filante sur Feuille Excel

&Tab;&Tab;<div data-elementor-type&equals;"wp-post" data-elementor-id&equals;"8856" class&equals;"elementor elementor-8856">&NewLine;&Tab;&Tab;&Tab;&Tab;<div class&equals;"elementor-element elementor-element-0ec4e31 e-flex e-con-boxed e-con e-parent" data-id&equals;"0ec4e31" data-element&lowbar;type&equals;"container">&NewLine;&Tab;&Tab;&Tab;&Tab;&Tab;<div class&equals;"e-con-inner">&NewLine;&Tab;&Tab;&Tab;&Tab;<div class&equals;"elementor-element elementor-element-2825f35 elementor-widget elementor-widget-text-editor" data-id&equals;"2825f35" data-element&lowbar;type&equals;"widget" data-widget&lowbar;type&equals;"text-editor&period;default">&NewLine;&Tab;&Tab;&Tab;&Tab;<div class&equals;"elementor-widget-container">&NewLine;&Tab;&Tab;&Tab;&Tab;&Tab;&Tab;&Tab;&Tab;&Tab;<div class&equals;"dad65929"><div class&equals;"&lowbar;4f9bf79 d7dc56a8 &lowbar;43c05b5"><div class&equals;"ds-message &lowbar;656c965"><div class&equals;"ds-markdown"><p class&equals;"ds-markdown-paragraph">Les semelles de fondation sont des éléments structurels essentiels qui transmettent les charges d’un ouvrage au sol&period; Elles doivent être conçues avec précision pour garantir la stabilité et la durabilité de la construction&period; On distingue principalement deux types de semelles &colon; les semelles <strong>isolées<&sol;strong> &lpar;ou ponctuelles&rpar; et les semelles <strong>filantes<&sol;strong> &lpar;ou continues&rpar;&period; Cet article détaille les méthodes de calcul selon les normes BAEL 91 révisées 99 et propose un outil Excel pour simplifier la conception&period;<&sol;p><p><img class&equals;"image&lowbar;Feuille&lowbar;Excel&lowbar;calcul&lowbar;semelle&lowbar;isolée&lowbar;semelle&lowbar;filante alignnone wp-image-8859 size-large" title&equals;"Feuille Excel de calcul pour semelle isolée et semelle filante avec données techniques et résultats automatisés" src&equals;"https&colon;&sol;&sol;cours-genie-civil&period;com&sol;wp-content&sol;uploads&sol;2025&sol;09&sol;2-Notes-de-Calcul-de-Semelle-isolee-et-semelle-filante-sur-Feuille-Excel-683x1024&period;webp" alt&equals;"Schéma technique illustrant les calculs de semelle isolée et semelle filante sur feuille Excel&comma; avec annotations de charges et dimensions&period;" width&equals;"683" height&equals;"1024" &sol;><&sol;p><hr &sol;><h2>Partie 1 &colon; La Semelle Isolée &lpar;Ponctuelle&rpar;<&sol;h2><h3>1&period;1 Définition et Cas d’Usage<&sol;h3><p class&equals;"ds-markdown-paragraph">Une semelle isolée est utilisée pour supporter un poteau unique&period; Elle répartit la charge sur une surface suffisante pour ne pas dépasser la contrainte admissible du sol&period;<&sol;p><h3>1&period;2 Données de Calcul<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Dimensions du poteau &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">a&equals;0&comma;25&ThinSpace;m<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">a<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">25<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">b&equals;0&comma;30&ThinSpace;m<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">b<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">30<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Charges &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">Nser&equals;0&comma;4&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">ser<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">4<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">Nu&equals;0&comma;6&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">u<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">6<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Contraintes &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">σsol&equals;0&comma;42&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">so<&sol;span><span class&equals;"mord mathnormal mtight">l<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">42<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">fc28&equals;35&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">f<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">c<&sol;span>28<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">35<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">fe&equals;500&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">f<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">e<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">500<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Type de fissuration &colon; FP &lpar;peu préjudiciable&rpar;<&sol;p><&sol;li><&sol;ul><h3>1&period;3 Calcul des Dimensions<&sol;h3><p class&equals;"ds-markdown-paragraph">La surface approximative est donnée par &colon;<&sol;p><p><span class&equals;"katex-display ds-markdown-math"><span class&equals;"katex"><span class&equals;"katex-mathml">S1&equals;Nuσsol&equals;0&comma;60&comma;42&equals;1&comma;43&ThinSpace;m2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">S<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">1<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">so<&sol;span><span class&equals;"mord mathnormal mtight">l<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">u<&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist">0<span class&equals;"mpunct">&comma;<&sol;span>420<span class&equals;"mpunct">&comma;<&sol;span>6<&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">1<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">43<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><p class&equals;"ds-markdown-paragraph">Avec un débord constant&comma; on obtient &colon;<&sol;p><p><span class&equals;"katex-display ds-markdown-math"><span class&equals;"katex"><span class&equals;"katex-mathml">A&equals;1&comma;20&ThinSpace;m&comma;B&equals;1&comma;25&ThinSpace;m<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">1<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">20<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">1<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">25<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><h3>1&period;4 Vérification de la Contrainte au Sol<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Surface réelle &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">S&equals;A×B&equals;1&comma;50&ThinSpace;m2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">S<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"mbin">×<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">1<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">50<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Poids propre &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">Pp&equals;0&comma;0113&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">P<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">p<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">0113<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Charge totale &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">N&equals;0&comma;6113&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">6113<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Contrainte effective &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">σ′&equals;NS&equals;0&comma;408&ThinSpace;MPa&lt&semi;σsol<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">′<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">S<&sol;span><&sol;span><&sol;span><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">N<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">408<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><span class&equals;"mrel">&lt&semi;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">so<&sol;span><span class&equals;"mord mathnormal mtight">l<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span> âœ…<&sol;p><&sol;li><&sol;ul><h3>1&period;5 Calcul des Aciers<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Contrainte admissible de l’acier &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">σst&equals;250&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">s<&sol;span><span class&equals;"mord mathnormal mtight">t<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">250<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Section d’acier longitudinal &colon;<&sol;p><&sol;li><&sol;ul><p><span class&equals;"katex-display ds-markdown-math"><span class&equals;"katex"><span class&equals;"katex-mathml">Ax&equals;Nser8⋅B−bd⋅σst&equals;7&comma;60&ThinSpace;cm2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">x<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist">8<span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">ser<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mbin">⋅<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"mord mathnormal">d<&sol;span><span class&equals;"mbin">⋅<&sol;span><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">s<&sol;span><span class&equals;"mord mathnormal mtight">t<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"mbin">−<&sol;span><span class&equals;"mord mathnormal">b<&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">7<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">60<&sol;span><span class&equals;"mord mathnormal">c<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><ul><li><p class&equals;"ds-markdown-paragraph">Section d’acier transversal &colon;<&sol;p><&sol;li><&sol;ul><p><span class&equals;"katex-display ds-markdown-math"><span class&equals;"katex"><span class&equals;"katex-mathml">Ay&equals;Nser8⋅A−ad⋅σst&equals;7&comma;60&ThinSpace;cm2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">y<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist">8<span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">ser<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mbin">⋅<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"mord mathnormal">d<&sol;span><span class&equals;"mbin">⋅<&sol;span><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">s<&sol;span><span class&equals;"mord mathnormal mtight">t<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"mbin">−<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">7<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">60<&sol;span><span class&equals;"mord mathnormal">c<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><hr &sol;><h2>Partie 2 &colon; La Semelle Continue &lpar;Linéaire&rpar;<&sol;h2><h3>2&period;1 Définition et Applications<&sol;h3><p class&equals;"ds-markdown-paragraph">Une semelle continue supporte un mur ou une série de charges linéaires&period; Elle est utilisée lorsque les charges sont réparties sur une longueur importante&period;<&sol;p><h3>2&period;2 Données de Calcul<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Largeur du mur &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">b&equals;0&comma;20&ThinSpace;m<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">b<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">20<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Charges &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">Nser&equals;0&comma;35&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">ser<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">35<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">Nu&equals;0&comma;42&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">u<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">42<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Contraintes &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">σsol&equals;0&comma;80&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">so<&sol;span><span class&equals;"mord mathnormal mtight">l<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">80<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">fc28&equals;30&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">f<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">c<&sol;span>28<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">30<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span>&comma; <span class&equals;"katex"><span class&equals;"katex-mathml">fe&equals;400&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">f<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">e<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">400<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Type de fissuration &colon; FTP &lpar;très préjudiciable&rpar;<&sol;p><&sol;li><&sol;ul><h3>2&period;3 Calcul des Dimensions<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Largeur approximative &colon;<&sol;p><&sol;li><&sol;ul><p><span class&equals;"katex-display ds-markdown-math"><span class&equals;"katex"><span class&equals;"katex-mathml">B1&equals;Nuσsol&equals;0&comma;53&ThinSpace;m&Implies;B&equals;0&comma;55&ThinSpace;m<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">1<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">so<&sol;span><span class&equals;"mord mathnormal mtight">l<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">u<&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">53<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"mrel">&Implies;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">55<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><h3>2&period;4 Vérification de la Contrainte au Sol<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Surface &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">S&equals;B×1&comma;00&equals;0&comma;55&ThinSpace;m2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">S<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"mbin">×<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">1<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">00<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">55<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Poids propre &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">Pp&equals;0&comma;0041&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">P<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">p<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">0041<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Charge totale &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">N&equals;0&comma;4241&ThinSpace;MN<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">4241<&sol;span><span class&equals;"mord mathnormal">MN<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Contrainte effective &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">σ′&equals;0&comma;771&ThinSpace;MPa&lt&semi;σsol<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">′<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">0<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">771<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><span class&equals;"mrel">&lt&semi;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">so<&sol;span><span class&equals;"mord mathnormal mtight">l<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span> âœ…<&sol;p><&sol;li><&sol;ul><h3>2&period;5 Calcul des Aciers<&sol;h3><ul><li><p class&equals;"ds-markdown-paragraph">Contrainte admissible de l’acier &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">σst&equals;172&comma;44&ThinSpace;MPa<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">s<&sol;span><span class&equals;"mord mathnormal mtight">t<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">172<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">44<&sol;span><span class&equals;"mord mathnormal">MP<&sol;span><span class&equals;"mord mathnormal">a<&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Section d’acier minimal &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">Ax&comma;min&equals;2&comma;00&ThinSpace;cm2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">x<&sol;span><span class&equals;"mpunct mtight">&comma;<&sol;span><span class&equals;"mord mathnormal mtight">min<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">2<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">00<&sol;span><span class&equals;"mord mathnormal">c<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Section d’acier longitudinal &colon;<&sol;p><&sol;li><&sol;ul><p><span class&equals;"katex-display ds-markdown-math"><span class&equals;"katex"><span class&equals;"katex-mathml">Ay&equals;Nser8⋅B−bd⋅σst&equals;3&comma;55&ThinSpace;cm2&sol;ml<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">y<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist">8<span class&equals;"mord mathnormal">N<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">ser<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mbin">⋅<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"mord mathnormal">d<&sol;span><span class&equals;"mbin">⋅<&sol;span><span class&equals;"mord mathnormal">σ<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">s<&sol;span><span class&equals;"mord mathnormal mtight">t<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><span class&equals;"mord mathnormal">B<&sol;span><span class&equals;"mbin">−<&sol;span><span class&equals;"mord mathnormal">b<&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">3<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">55<&sol;span><span class&equals;"mord mathnormal">c<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mord">&sol;<&sol;span><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"mord mathnormal">l<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><ul><li><p class&equals;"ds-markdown-paragraph">Section d’acier transversal &colon; <span class&equals;"katex"><span class&equals;"katex-mathml">Ax&equals;max&af;&lpar;Ay4&semi;Ax&comma;min&rpar;&equals;2&comma;00&ThinSpace;cm2<&sol;span><span class&equals;"katex-html" aria-hidden&equals;"true"><span class&equals;"base"><span class&equals;"mord"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mathnormal mtight">x<&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mop">max<&sol;span><span class&equals;"minner"><span class&equals;"mopen delimcenter"><span class&equals;"delimsizing size2">&lpar;<&sol;span><&sol;span><span class&equals;"mord"><span class&equals;"mfrac"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">4<&sol;span><&sol;span><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">A<&sol;span><span class&equals;"msupsub"><span class&equals;"sizing reset-size3 size1 mtight"><span class&equals;"mord mathnormal mtight">y<&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mpunct">&semi;<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">A<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t vlist-t2"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight"><span class&equals;"mord mathnormal mtight">x<&sol;span><span class&equals;"mpunct mtight">&comma;<&sol;span><span class&equals;"mord mathnormal mtight">min<&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"vlist-s">&ZeroWidthSpace;<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><span class&equals;"mclose delimcenter"><span class&equals;"delimsizing size2">&rpar;<&sol;span><&sol;span><&sol;span><span class&equals;"mrel">&equals;<&sol;span><&sol;span><span class&equals;"base"><span class&equals;"mord">2<&sol;span><span class&equals;"mpunct">&comma;<&sol;span><span class&equals;"mord">00<&sol;span><span class&equals;"mord mathnormal">c<&sol;span><span class&equals;"mord"><span class&equals;"mord mathnormal">m<&sol;span><span class&equals;"msupsub"><span class&equals;"vlist-t"><span class&equals;"vlist-r"><span class&equals;"vlist"><span class&equals;"sizing reset-size6 size3 mtight"><span class&equals;"mord mtight">2<&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;span><&sol;p><&sol;li><&sol;ul><hr &sol;><h2>Partie 3 &colon; Feuille de Calcul Excel pour Semelles<&sol;h2><p class&equals;"ds-markdown-paragraph">Pour faciliter le dimensionnement&comma; nous mettons à disposition un fichier Excel automatisé incluant &colon;<&sol;p><ul><li><p class&equals;"ds-markdown-paragraph">Calcul automatique des dimensions et des sections d’acier<&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Vérification de la contrainte au sol<&sol;p><&sol;li><li><p class&equals;"ds-markdown-paragraph">Adaptation aux normes BAEL 91 révisées 99<&sol;p><&sol;li><&sol;ul><h4>Téléchargement du Fichier Excel<&sol;h4><p class&equals;"ds-markdown-paragraph"><span style&equals;"font-size&colon; 2em&semi;">🔗 <b data-original-attrs&equals;"&lbrace;&quot&semi;style&quot&semi;&colon;&quot&semi;&quot&semi;&rcub;">👀👉👉<&sol;b> <strong><a href&equals;"https&colon;&sol;&sol;cours-genie-civil&period;com&sol;wp-content&sol;uploads&sol;2025&sol;09&sol;semelle-de-fondation&period;xls">&lbrack;Lien de téléchargement&rsqb;<&sol;a><&sol;strong><&sol;span><&sol;p><p><em>Description &colon; Cet outil permet de concevoir rapidement des semelles isolées et continues en suivant les normes en vigueur&period;<&sol;em><&sol;p><h2>Chapitre des liens utiles<&sol;h2><p>Voici une sélection de ressources essentielles pour le génie civil&comma; couvrant les fondations et la mécanique des sols&period;<&sol;p><hr &sol;><p><b>Calcul et dimensionnement de fondations<&sol;b><&sol;p><p>Apprenez à effectuer le <b><a class&equals;"ng-star-inserted" href&equals;"https&colon;&sol;&sol;cours-genie-civil&period;com&sol;calcul-et-dimensionnement-dune-semelle-filante-guide-pratique-pdf&sol;" target&equals;"&lowbar;blank" rel&equals;"noopener" data-hveid&equals;"0" data-ved&equals;"0CAAQ&lowbar;4QMahcKEwiJkfuV&lowbar;L6PAxUAAAAAHQAAAAAQWg">calcul et le dimensionnement d&rsquo&semi;une semelle filante<&sol;a><&sol;b> avec ce guide pratique en PDF&period; Ce document détaillé vous expliquera les étapes cruciales&comma; du pré-dimensionnement au ferraillage&comma; en intégrant les vérifications sismiques pour une conception solide et conforme&period; Pour approfondir vos connaissances&comma; ce cours complet sur les <b><a class&equals;"ng-star-inserted" href&equals;"https&colon;&sol;&sol;cours-genie-civil&period;com&sol;comprendre-les-fondations-superficielles-cours-pdf-a-telecarger&sol;" target&equals;"&lowbar;blank" rel&equals;"noopener" data-hveid&equals;"0" data-ved&equals;"0CAAQ&lowbar;4QMahcKEwiJkfuV&lowbar;L6PAxUAAAAAHQAAAAAQWw">fondations superficielles<&sol;a><&sol;b> vous aide à comprendre les principes de conception et le comportement des sols sous charge&period;<&sol;p><hr &sol;><p><b>Travaux pratiques et exercices<&sol;b><&sol;p><p>Mettez en pratique vos compétences en mécanique des sols et en fondations superficielles grâce à des <b><a class&equals;"ng-star-inserted" href&equals;"https&colon;&sol;&sol;cours-genie-civil&period;com&sol;td-exercices-corriges-mecanique-des-sols-et-fondations-superficielles&sol;" target&equals;"&lowbar;blank" rel&equals;"noopener" data-hveid&equals;"0" data-ved&equals;"0CAAQ&lowbar;4QMahcKEwiJkfuV&lowbar;L6PAxUAAAAAHQAAAAAQXA">exercices corrigés en PDF<&sol;a><&sol;b>&period; Ces travaux dirigés sont conçus pour vous aider à maîtriser l&rsquo&semi;application des concepts théoriques&comma; incluant des exemples sur le calcul de la capacité portante&period;<&sol;p><hr &sol;><p><b>Outils de calcul sur Excel<&sol;b><&sol;p><p>Simplifiez vos projets de calcul avec des outils pratiques&period; Cette <b><a class&equals;"ng-star-inserted" href&equals;"https&colon;&sol;&sol;www&period;4geniecivil&period;com&sol;2023&sol;01&sol;feuille-excel-de-calcul-de-semelle&period;html" target&equals;"&lowbar;blank" rel&equals;"noopener" data-hveid&equals;"0" data-ved&equals;"0CAAQ&lowbar;4QMahcKEwiJkfuV&lowbar;L6PAxUAAAAAHQAAAAAQXQ">feuille Excel de calcul de semelle<&sol;a><&sol;b> est un modèle qui facilite le dimensionnement et le ferraillage des semelles sous deux poteaux&period; Vous trouverez également des <b><a class&equals;"ng-star-inserted" href&equals;"https&colon;&sol;&sol;www&period;4geniecivil&period;com&sol;2018&sol;05&sol;calcul-de-semelles-sur-excel&period;html" target&equals;"&lowbar;blank" rel&equals;"noopener" data-hveid&equals;"0" data-ved&equals;"0CAAQ&lowbar;4QMahcKEwiJkfuV&lowbar;L6PAxUAAAAAHQAAAAAQXg">modèles de calcul sur Excel<&sol;a><&sol;b> pour différents types de fondations&comma; y compris les semelles isolées&comma; filantes&comma; les murs de soutènement et les radiers&period;<&sol;p><hr &sol;><p><b>Normes de calcul<&sol;b><&sol;p><p>Pour garantir la sécurité de vos constructions&comma; il est indispensable de connaître les <b><a class&equals;"ng-star-inserted" href&equals;"https&colon;&sol;&sol;www&period;4geniecivil&period;com&sol;2020&sol;05&sol;quelques-normes-de-calcul-des-elements&period;html" target&equals;"&lowbar;blank" rel&equals;"noopener" data-hveid&equals;"0" data-ved&equals;"0CAAQ&lowbar;4QMahcKEwiJkfuV&lowbar;L6PAxUAAAAAHQAAAAAQXw">normes de calcul des éléments de structure<&sol;a><&sol;b>&period; Cette ressource vous fournit un aperçu des réglementations à respecter pour vos projets&period;<&sol;p><p>Découvrez cette <a href&equals;"https&colon;&sol;&sol;www&period;4geniecivil&period;com&sol;2025&sol;09&sol;note-de-calcul-batiment-detaille-pdf&period;html">Note de calcul bâtiment<&sol;a> détaillé &colon; Guide pratique PDF à télécharger&period;<&sol;p><p>Exemple Gratuit de <a href&equals;"https&colon;&sol;&sol;www&period;4geniecivil&period;com&sol;2025&sol;10&sol;note-de-calcul-batiment-Excel&period;html">Note de Calcul Bâtiment R&plus;4 en Excel<&sol;a> &colon; Dimensionnement Complet Structure Béton Armé <&sol;p><hr &sol;><h3>Conclusion<&sol;h3><p class&equals;"ds-markdown-paragraph">Le calcul des semelles de fondation est une étape cruciale dans la conception structurelle&period; Que ce soit pour une semelle ponctuelle ou une semelle linéaire&comma; une approche méthodique garantit la sécurité et la pérennité de l’ouvrage&period; L’utilisation d’un outil Excel adapté simplifie ce processus et réduit les risques d’erreur&period;<&sol;p><hr &sol;><p class&equals;"ds-markdown-paragraph"><strong>Mots-clés<&sol;strong> &colon; semelle isolée&comma; semelle continue&comma; calcul fondation&comma; BAEL 91&comma; Excel&comma; note de calcul&comma; contrainte sol&comma; aciers tendus&comma; fissuration&comma; fondation superficielle&period;<&sol;p><&sol;div><&sol;div><&sol;div><&sol;div><div id&equals;"ag-popper-container-1756984511880" class&equals;"ag-translate-popper-host"> <&sol;div><p><script src&equals;"chrome-extension&colon;&sol;&sol;lopnbnfpjmgpbppclhclehhgafnifija&sol;aiscripts&sol;script-main&period;js"><&sol;script><&sol;p><div class&equals;"simg-pop-btn" style&equals;"top&colon; 180px&semi; left&colon; 14px&semi; display&colon; none&semi;"> <&sol;div><div class&equals;"host-lopnbnfpjmgpbppclhclehhgafnifija" style&equals;"position&colon; relative&semi; z-index&colon; 2147483647&semi;"> <&sol;div><div class&equals;"host-lopnbnfpjmgpbppclhclehhgafnifija" style&equals;"position&colon; relative&semi; z-index&colon; 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