{"id":1379,"date":"2024-09-23T14:58:53","date_gmt":"2024-09-23T12:58:53","guid":{"rendered":"https:\/\/solveredu.com\/?p=1379"},"modified":"2026-01-27T23:40:09","modified_gmt":"2026-01-27T22:40:09","slug":"fermes-m%c3%a9thode-d-%c3%a9quilibrage-des-n%c5%93uds-exemples-de-t%c3%a2ches","status":"publish","type":"post","link":"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/","title":{"rendered":"Treillis - m\u00e9thode d'\u00e9quilibrage des n\u0153uds - exemples de t\u00e2ches"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">Dans cet article, vous apprendrez \u00e0 calculer les forces dans les \u00e9l\u00e9ments d'une ferme statiquement d\u00e9termin\u00e9e \u00e0 l'aide de la m\u00e9thode d'\u00e9quilibrage des n\u0153uds.<\/p>\n\n\n\n<ol id=\"iwmbp3uhy3fggp17945259\" class=\"wp-block-list\">\n<li><a href=\"#1qctj\">M\u00e9thode d'\u00e9quilibrage des n\u0153uds<\/a><\/li>\n\n\n\n<li><a href=\"#xvw3h143749\">Manuel de solution pour les treillis<\/a><\/li>\n\n\n\n<li><a href=\"#igszs30304\">M\u00e9thode d'\u00e9quilibrage des n\u0153uds - exemple de solution d'une t\u00e2che<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"1qctj\" class=\"wp-block-heading has-large-font-size\">M\u00e9thode d'\u00e9quilibrage des n\u0153uds<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"jkoif985\"><strong>M\u00e9thode d'\u00e9quilibrage des n\u0153uds (s\u00e9paration)<\/strong> est l'une des m\u00e9thodes utilis\u00e9es pour r\u00e9soudre les probl\u00e8mes de fermes. Il s'agit d'une m\u00e9thode analytique consid\u00e9r\u00e9e par beaucoup comme la plus simple, mais qui demande beaucoup de travail et de calculs, en particulier si la ferme comporte un grand nombre de n\u0153uds et d'\u00e9l\u00e9ments.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9b0514675\">D'autres m\u00e9thodes existent :<\/p>\n\n\n\n<ul id=\"i6fzh3uhy3fggp17945268\" class=\"wp-block-list\">\n<li>M\u00e9thode de Ritter - analytique-diagnostic<\/li>\n\n\n\n<li>M\u00e9thode Cremona - tra\u00e7age<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"5bz3j6100\">La m\u00e9thode consiste \u00e0 calculer les forces normales dans les membrures de la ferme en s\u00e9parant successivement les n\u0153uds (c'est-\u00e0-dire les points o\u00f9 les membrures se rejoignent).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Il est important que le n\u0153ud que nous calculons ait un <strong>un maximum de deux tiges<\/strong> dont nous ne connaissons pas les forces normales. Comme nous disposons de deux \u00e9quations d'\u00e9quilibre (forces horizontales et forces verticales), nous pouvons calculer jusqu'\u00e0 deux forces inconnues \u00e0 partir de ces \u00e9quations.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"xvw3h143749\" class=\"wp-block-heading has-medium-font-size\">Manuel de solution pour les treillis<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ya7my143661\">Vous trouverez ci-dessous la recette, les instructions en points pour r\u00e9soudre le truss :<\/p>\n\n\n\n<ol id=\"b0uhr3uhy3fggp17945292\" class=\"wp-block-list\">\n<li><em>D\u00e9signation des n\u0153uds - nombres cons\u00e9cutifs (1,2,3...) ou lettres de l'alphabet (A,B,C...)<\/em><\/li>\n\n\n\n<li><em>D\u00e9signation de la tige - g\u00e9n\u00e9ralement des chiffres cons\u00e9cutifs (1,2,3...)<\/em><\/li>\n\n\n\n<li><em>D\u00e9termination des r\u00e9actions dans les supports<\/em><\/li>\n\n\n\n<li><em>Calcul des r\u00e9actions de soutien \u00e0 partir des \u00e9quations d'\u00e9quilibre (Fx, Fy, Mi)<\/em><\/li>\n\n\n\n<li><em>S\u00e9paration des n\u0153uds et calcul des forces dans les barres \u00e0 partir des \u00e9quations d'\u00e9quilibre (Fx, Fy)<\/em><\/li>\n\n\n\n<li><em>V\u00e9rification du dernier n\u0153ud - optionnel<\/em><\/li>\n\n\n\n<li><em>Tableau r\u00e9capitulatif (N\u00b0 de barre -&gt; Force normale)<\/em><\/li>\n\n\n\n<li>Dessin d'un diagramme en treillis avec les valeurs des forces dans les barres trac\u00e9es<\/li>\n<\/ol>\n\n\n\n<h2 id=\"igszs30304\" class=\"wp-block-heading has-medium-font-size\">M\u00e9thode d'\u00e9quilibrage des n\u0153uds - exemple de solution d'une t\u00e2che<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"g4vew31777\">Vous trouverez ci-dessous un sch\u00e9ma de la poutrelle que nous allons r\u00e9soudre. La ferme se compose de 6 n\u0153uds et de 9 barres. Elle est charg\u00e9e par trois forces concentr\u00e9es P1=2 kN, P2=6 kN et P3=3 kN.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"t77wp31885\">J'ai \u00e9tiquet\u00e9 les n\u0153uds avec les num\u00e9ros 1 \u00e0 6. Dans les supports, j'ai ajout\u00e9 les forces de r\u00e9action du support R1 pour le support pivotant coulissant dans le n\u0153ud 1. H4 et V4 pour le support pivotant non coulissant dans le n\u0153ud 4. Pour rappel, vous trouverez les types de supports et les r\u00e9actions de support dans ce document. <a href=\"https:\/\/solveredu.com\/fr\/post\/reactions-de-soutien\/\" rel=\"noreferrer noopener\" target=\"_blank\"><u>entr\u00e9e<\/u><\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"944\" height=\"497\" data-attachment-id=\"1382\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?fit=944%2C497&amp;ssl=1\" data-orig-size=\"944,497\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?fit=944%2C497&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?resize=944%2C497&#038;ssl=1\" alt=\"M\u00e9thode des fermes pour l&#039;\u00e9quilibrage des n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1382\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?w=944&amp;ssl=1 944w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?resize=300%2C158&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-1.jpg?resize=768%2C404&amp;ssl=1 768w\" sizes=\"auto, (max-width: 944px) 100vw, 944px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"jugqt33923\">Dans l'\u00e9tape suivante, nous calculerons les r\u00e9actions de soutien \u00e0 partir des trois \u00e9quations d'\u00e9quilibre.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"614\" height=\"285\" data-attachment-id=\"1384\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-2-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?fit=614%2C285&amp;ssl=1\" data-orig-size=\"614,285\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1721933118&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?fit=614%2C285&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?resize=614%2C285&#038;ssl=1\" alt=\"R\u00e9actions, fermes la m\u00e9thode d&#039;\u00e9quilibrage des n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1384\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?w=614&amp;ssl=1 614w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2.jpg?resize=300%2C139&amp;ssl=1 300w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/figure>\n\n\n\n<figure style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\" class=\"wp-block-table\"><table class=\"has-theme-5-background-color has-text-color has-background has-link-color has-fixed-layout\" style=\"color:#ffffff\"><tbody><tr><td>Tous les exemples utilis\u00e9s dans ce billet ont \u00e9t\u00e9 cr\u00e9\u00e9s dans mon <a href=\"https:\/\/solveredu.com\/fr\/calculateur-de-treillis\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u>Calculateur de fermes<\/u><\/a>. Dans cette application, vous d\u00e9terminerez les r\u00e9actions d'appui et les forces normales dans les \u00e9l\u00e9ments de la poutrelle. Calculs pas \u00e0 pas, dessins des forces \u00e0 chaque n\u0153ud et calcul analytique. N'h\u00e9sitez pas \u00e0 l'essayer<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4wl6557584\">Une fois les valeurs des r\u00e9actions d'appui calcul\u00e9es, nous pouvons passer \u00e0 l'\u00e9tape suivante, qui consiste \u00e0 s\u00e9parer les n\u0153uds. Dans notre cas, nous commencerons par le n\u0153ud n\u00b0 1. Dans ce n\u0153ud, nous avons deux barres inconnues N1-5 et N1-2. L'angle de 45 degr\u00e9s r\u00e9sulte de la g\u00e9om\u00e9trie du syst\u00e8me de barres.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u0153ud 1<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"472\" height=\"736\" data-attachment-id=\"1386\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-3\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?fit=472%2C736&amp;ssl=1\" data-orig-size=\"472,736\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1721933137&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?fit=472%2C736&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?resize=472%2C736&#038;ssl=1\" alt=\"N\u0153ud , M\u00e9thode des fermes pour \u00e9quilibrer les n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1386\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?w=472&amp;ssl=1 472w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-3.jpg?resize=192%2C300&amp;ssl=1 192w\" sizes=\"auto, (max-width: 472px) 100vw, 472px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ld1za72837\">La figure ci-dessus montre le diagramme des forces pour le n\u0153ud 1 et le calcul des forces dans les barres 1-2 et 1-5. Ces forces sont calcul\u00e9es \u00e0 partir des conditions d'\u00e9quilibre <strong>somme des projections de forces horizontales<\/strong> et <strong>somme des projections verticales des forces<\/strong> doit \u00eatre nulle. La barre 1-2 est en tension car la valeur de la force est positive. En revanche, la barre 1-5 est comprim\u00e9e car la valeur de la force est n\u00e9gative.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ok96296824\">Le n\u0153ud suivant est le n\u0153ud 4. \u00c0 ce n\u0153ud, nous avons \u00e9galement deux forces inconnues pour les barres 4-3 et 4-6. Nous utilisons \u00e9galement les conditions d'\u00e9quilibre : somme des projections des forces horizontales et somme des projections des forces verticales.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u0153ud 4<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"501\" height=\"717\" data-attachment-id=\"1387\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?fit=501%2C717&amp;ssl=1\" data-orig-size=\"501,717\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1721933161&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?fit=501%2C717&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?resize=501%2C717&#038;ssl=1\" alt=\"N\u0153ud , M\u00e9thode des fermes pour \u00e9quilibrer les n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1387\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?w=501&amp;ssl=1 501w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-4.jpg?resize=210%2C300&amp;ssl=1 210w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Lorsque vous dessinez les forces pour les n\u0153uds suivants, n'oubliez pas les r\u00e9actions ou les forces externes appliqu\u00e9es au n\u0153ud. Une erreur fr\u00e9quente dans les solutions d'\u00e9quilibrage des n\u0153uds est d'omettre ces forces.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"68m4b112645\">Nous proc\u00e9dons de la m\u00eame mani\u00e8re pour les n\u0153uds suivants, en gardant \u00e0 l'esprit que le nombre maximum de forces inconnues dans la barre est de deux.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u0153ud 3<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"447\" height=\"616\" data-attachment-id=\"1388\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?fit=447%2C616&amp;ssl=1\" data-orig-size=\"447,616\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1721933182&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?fit=447%2C616&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?resize=447%2C616&#038;ssl=1\" alt=\"N\u0153ud , M\u00e9thode des fermes pour \u00e9quilibrer les n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1388\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?w=447&amp;ssl=1 447w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-5.jpg?resize=218%2C300&amp;ssl=1 218w\" sizes=\"auto, (max-width: 447px) 100vw, 447px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">N\u0153ud 2<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"504\" height=\"626\" data-attachment-id=\"1390\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-6\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?fit=504%2C626&amp;ssl=1\" data-orig-size=\"504,626\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1721933204&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?fit=504%2C626&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?resize=504%2C626&#038;ssl=1\" alt=\"N\u0153ud , M\u00e9thode des fermes pour \u00e9quilibrer les n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1390\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?w=504&amp;ssl=1 504w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-6.jpg?resize=242%2C300&amp;ssl=1 242w\" sizes=\"auto, (max-width: 504px) 100vw, 504px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">N\u0153ud 5<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"684\" height=\"753\" data-attachment-id=\"1392\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?fit=684%2C753&amp;ssl=1\" data-orig-size=\"684,753\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1721933283&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?fit=684%2C753&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?resize=684%2C753&#038;ssl=1\" alt=\"N\u0153ud , M\u00e9thode des fermes pour \u00e9quilibrer les n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1392\" style=\"width:499px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?w=684&amp;ssl=1 684w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-7.jpg?resize=273%2C300&amp;ssl=1 273w\" sizes=\"auto, (max-width: 684px) 100vw, 684px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"h0gos72632\">Une fois que toutes les forces normales dans les barres ont \u00e9t\u00e9 calcul\u00e9es, nous pr\u00e9parons des tableaux avec la combinaison barre-force dans la barre - mode de travail tension\/compression.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"479\" data-attachment-id=\"1393\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/przyklad-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?fit=650%2C479&amp;ssl=1\" data-orig-size=\"650,479\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?fit=650%2C479&amp;ssl=1\" src=\"https:\/\/solveredu.com\/wp-content\/uploads\/2024\/09\/tabela_fr.jpg\" alt=\"r\u00e9sum\u00e9 , Poutrelles - m\u00e9thode d&#039;\u00e9quilibrage des n\u0153uds - exemples de t\u00e2ches, SolverEdu\" class=\"wp-image-1393\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/tabela_fr.jpg?w=564&ssl=1 564w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/tabela_fr.jpg?resize=300%2C258&ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/tabela_fr.jpg?resize=14%2C12&ssl=1 14w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">En outre, il est judicieux de dessiner le sch\u00e9ma complet de la ferme avec les valeurs des forces dans les membrures. La couleur rouge correspond aux \u00e9l\u00e9ments de traction et la couleur bleue aux \u00e9l\u00e9ments de compression. La couleur noire correspond aux barres d'arr\u00eat, le cas \u00e9ch\u00e9ant.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"823\" height=\"523\" data-attachment-id=\"2943\" data-permalink=\"https:\/\/solveredu.com\/fr\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/rys\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?fit=823%2C523&amp;ssl=1\" data-orig-size=\"823,523\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"rys\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?fit=823%2C523&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=823%2C523&#038;ssl=1\" alt=\"Calcul de fermes, forces dans les barres sur scjhemata, solveredu\" class=\"wp-image-2943\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?w=823&amp;ssl=1 823w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=300%2C191&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=768%2C488&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rys.jpg?resize=18%2C12&amp;ssl=1 18w\" sizes=\"auto, (max-width: 823px) 100vw, 823px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"1pncc72034\">Ceci conclut l'entr\u00e9e M\u00e9thode des fermes pour \u00e9quilibrer les n\u0153uds - t\u00e2ches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"vx3iv149586\">Nous vous remercions.<\/p>","protected":false},"excerpt":{"rendered":"<p>W tym artykule dowiecie si\u0119, jak za pomoc\u0105 metody r\u00f3wnowa\u017cenia w\u0119z\u0142\u00f3w obliczy\u0107 si\u0142y w pr\u0119tach kratownicy statycznie wyznaczalnej. Metoda r\u00f3wnowa\u017cenia w\u0119z\u0142\u00f3w Metoda r\u00f3wnowa\u017cenia (wydzielania) w\u0119z\u0142\u00f3w jest jedn\u0105 z metod stosowanych do rozwi\u0105zywania zada\u0144 z zakresu kratownic. Jest to metoda analityczna przez wiele os\u00f3b uwa\u017cana za naj\u0142atwiejsz\u0105, ale przy tym pracoch\u0142onn\u0105, przy kt\u00f3rej jest du\u017co oblicze\u0144, [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1488,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[14815],"tags":[14863,14864,14865],"class_list":["post-1379","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","tag-kratownica","tag-metoda-rownowazenia-wezlow","tag-sily-w-pretach-kratownicy"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-2.jpg?fit=944%2C497&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-mf","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts\/1379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/comments?post=1379"}],"version-history":[{"count":12,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts\/1379\/revisions"}],"predecessor-version":[{"id":3070,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts\/1379\/revisions\/3070"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/media\/1488"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/media?parent=1379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/categories?post=1379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/tags?post=1379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}