{"id":25417,"date":"2025-09-17T10:10:56","date_gmt":"2025-09-17T10:10:56","guid":{"rendered":"https:\/\/support.buildsoft.eu\/docs\/diamonds\/calculations\/calculs-du-sol\/"},"modified":"2026-07-02T14:49:16","modified_gmt":"2026-07-02T14:49:16","slug":"calculs-du-sol","status":"publish","type":"docs","link":"https:\/\/support.buildsoft.eu\/fr\/docs\/diamonds\/calculations\/calculs-du-sol\/","title":{"rendered":"Calculs du sol"},"content":{"rendered":"<p><\/p>\n\n<h2 class=\"wp-block-heading\">Calculs du sol \u00e0 l&rsquo;aide d&rsquo;un ressort \u00e9lastique<\/h2>\n\n<p style=\"font-size:16px\">La fa\u00e7on la plus simple de mod\u00e9liser les couches de sol est d&rsquo;utiliser un ressort \u00e9lastique, \u00e9galement appel\u00e9 \u00ab\u00a0mod\u00e8le de Winkler ou th\u00e9orie de Winkler\u00a0\u00bb. Cette th\u00e9orie suppose que la r\u00e9action exerc\u00e9e par le sol est proportionnelle au tassement du sol :<\/p>\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 16px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-02768e109062f06d0a49df12a475c479_l3.png\" height=\"16\" width=\"31\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#091;&#113;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#107;&#92;&#093;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n<p style=\"font-size:16px\">avec<\/p>\n\n<ul>\n<li><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"\/> la r\u00e9action du sol<\/li>\n\n\n\n<li><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/> la constante de couche, une constante de ressort<\/li>\n\n\n\n<li><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#115;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/> le tassement<\/li>\n<\/ul>\n\n<p style=\"font-size:16px\">M\u00eame si nous parvenions \u00e0 trouver une valeur acceptable pour la constante de couche <img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>, le mod\u00e8le de Winkler pr\u00e9sente certaines lacunes :<\/p>\n\n<ul>\n<li>d&rsquo;apr\u00e8s cette th\u00e9orie, si une dalle est mise en charge uniform\u00e9ment, elle s&rsquo;enfonce sans contrainte dans le sol;<\/li>\n\n\n\n<li>la charge d&rsquo;une dalle n&rsquo;a aucune influence sur le tassement d&rsquo;une dalle voisine.<\/li>\n<\/ul>\n\n<p style=\"font-size:16px\">Dans les mod\u00e8les o\u00f9 le tassement est important, nous pr\u00e9f\u00e9rons le mod\u00e8le it\u00e9ratif des couches de sol (voir ci-dessous) \u00e0 la th\u00e9orie de Winkler.<\/p>\n\n<h2 class=\"wp-block-heading\">Calculs du sol \u00e0 l&rsquo;aide d&rsquo;un mod\u00e8le d&rsquo;\u00e9quilibre it\u00e9ratif<\/h2>\n\n<p style=\"font-size:16px\">Dans cette approche, vous entrez<a href=\"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/comment-ajouter-des-couches-de-sol-comment-creer-un-profil-de-couche-de-sol\/\" data-type=\"ht_kb\" data-id=\"6508\" target=\"_blank\" rel=\"noreferrer noopener\"> les propri\u00e9t\u00e9s des diff\u00e9rentes couches de sol <\/a>dans Diamonds. Cependant, Diamonds ne peut pas calculer avec les couches de sol litt\u00e9rales. Il traduira les couches de sol en fonctions de ressort (similaires \u00e0 un diagramme de rigidit\u00e9) de telle sorte que la d\u00e9formation de la plaque soumise aux charges = d\u00e9formation du sol soumis aux r\u00e9actions de la plaque. La d\u00e9termination des fonctions du ressort est un processus it\u00e9ratif illustr\u00e9 dans le sch\u00e9ma ci-dessous.<\/p>\n\n<figure class=\"wp-block-image aligncenter size-full\"><a href=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/09\/Diagram_grond-ENpng.png\"><img decoding=\"async\" loading=\"lazy\" width=\"834\" height=\"836\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/09\/Diagram_grond-ENpng.png\" alt=\"\" class=\"wp-image-19138\" \/><\/a><\/figure>\n\n<p style=\"font-size:16px\">avec :<\/p>\n\n<ul>\n<li>z la profondeur de la couche consid\u00e9r\u00e9e<\/li>\n\n\n\n<li>C ou A constante de compression (pour teste CPT, <a rel=\"noreferrer noopener\" href=\"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/comment-ajouter-des-couches-de-sol-comment-creer-un-profil-de-couche-de-sol\/\" target=\"_blank\">plus d&rsquo;info<\/a>)<\/li>\n\n\n\n<li>\u0394h l&rsquo;\u00e9paisseur de la couche<\/li>\n\n\n\n<li>\u03c3 la contrainte initiale due au poids du sol<\/li>\n\n\n\n<li>\u0394\u03c3<sub>z<\/sub>(i) l&rsquo;augmentation de la contrainte due aux charges ajout\u00e9es<\/li>\n\n\n\n<li>\u03b1<sub>k<\/sub> coefficient structurel de la couche de sol (pour le teste de M\u00e9nard, <a rel=\"noreferrer noopener\" href=\"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/comment-ajouter-des-couches-de-sol-comment-creer-un-profil-de-couche-de-sol\/\" target=\"_blank\">plus d&rsquo;info<\/a>)<\/li>\n\n\n\n<li>E<sub>MK<\/sub> le module de compression de la couche k (pour le teste de M\u00e9nard, <a rel=\"noreferrer noopener\" href=\"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/comment-ajouter-des-couches-de-sol-comment-creer-un-profil-de-couche-de-sol\/\" target=\"_blank\">plus d&rsquo;info<\/a>)<\/li>\n<\/ul>\n\n<p style=\"font-size:16px\">La composition d&rsquo;un profil de sol\/terrain peut \u00eatre d\u00e9finie dans la configuration de la g\u00e9om\u00e9trie (voir <a rel=\"noreferrer noopener\" href=\"https:\/\/support.buildsoft.eu\/docs\/diamonds\/geometry-palette\/supports\/supports-on-surfaces\/\" data-id=\"16756\" target=\"_blank\" data-type=\"docs\">Supports sur les surfaces<\/a>).  <\/p>\n\n<p><\/p>\n    \t\t<div class=\"hts-messages hts-messages--info   hts-messages--withicon \" id=\"\" style=\"\">\r\n    \t\t\t    \t\t\t    \t\t\t\t<p>\r\n    \t\t\t\t\t\n<ul>\n<li>Cet article explique comment ajouter des couches de sol \u00e0 votre mod\u00e8le et quels sont les diff\u00e9rents param\u00e8tres du sol.<\/li>\n<li>Si votre mod\u00e8le comporte des couches de sol, vous devrez imposer des param\u00e8tres suppl\u00e9mentaires<a href=\"https:\/\/support.buildsoft.eu\/docs\/diamonds\/calculations\/elastic-analysis\/\" target=\"_blank\" rel=\"noopener\" data-id=\"16449\"> pour l&rsquo;analyse \u00e9lastique.<\/a><\/li>\n<li>Plus d&rsquo;informations sur le calcul du sol dans le webinaire (<a href=\"https:\/\/app.livestorm.co\/buildsoft\/settlement-calculation-with-diamonds?utm_source=SupportSite&amp;utm_medium=web\" target=\"_blank\" rel=\"noopener\" data-id=\"\">EN<\/a>, <a href=\"https:\/\/app.livestorm.co\/buildsoft\/zettingsberekening-met-diamonds?utm_source=SupportSite&amp;utm_medium=web\" target=\"_blank\" rel=\"noopener\" data-id=\"\">NL<\/a>). <\/li>\n<\/ul>\n    \t\t\t\t<\/p>\r\n    \t\t\t    \t\t\t\r\n    \t\t<\/div><!-- \/.ht-shortcodes-messages -->\r\n    \t\t\n","protected":false},"featured_media":0,"parent":23374,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","doc_tag":[],"comment_count":0,"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/docs\/25417"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/types\/docs"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/comments?post=25417"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/docs\/25417\/revisions"}],"predecessor-version":[{"id":30123,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/docs\/25417\/revisions\/30123"}],"up":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/docs\/23374"}],"prev":[{"title":"Calcul des longueurs de flambement","link":"https:\/\/support.buildsoft.eu\/fr\/docs\/diamonds\/calculations\/calcul-des-longueurs-de-flambement\/","href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/docs\/25409"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/media?parent=25417"}],"wp:term":[{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/doc_tag?post=25417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}