{"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":"truss-calculation-method-of-joints-example-solutions","status":"publish","type":"post","link":"https:\/\/solveredu.com\/cs\/post\/kratownice-metoda-rownowazenia-wezlow-przykladowe-zadania\/","title":{"rendered":"P\u0159\u00edhradov\u00e9 vazn\u00edky - metoda vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edklady \u00faloh"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">V tomto \u010dl\u00e1nku se dozv\u00edte, jak vypo\u010d\u00edtat s\u00edly v prutech staticky ur\u010dit\u00e9ho p\u0159\u00edhradov\u00e9ho vazn\u00edku pomoc\u00ed metody vyva\u017eov\u00e1n\u00ed uzl\u016f.<\/p>\n\n\n\n<ol id=\"iwmbp3uhy3fggp17945259\" class=\"wp-block-list\">\n<li><a href=\"#1qctj\">Metoda vyva\u017eov\u00e1n\u00ed uzl\u016f<\/a><\/li>\n\n\n\n<li><a href=\"#xvw3h143749\">P\u0159\u00edru\u010dka k \u0159e\u0161en\u00ed krov\u016f<\/a><\/li>\n\n\n\n<li><a href=\"#igszs30304\">Metoda vyv\u00e1\u017een\u00ed uzl\u016f - p\u0159\u00edklad \u0159e\u0161en\u00ed \u00falohy<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"1qctj\" class=\"wp-block-heading has-large-font-size\">Metoda vyva\u017eov\u00e1n\u00ed uzl\u016f<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"jkoif985\"><strong>Metoda vyv\u00e1\u017een\u00ed (odd\u011blen\u00ed) uzl\u016f<\/strong> je jednou z metod \u0159e\u0161en\u00ed p\u0159\u00edhradov\u00fdch \u00faloh. Jedn\u00e1 se o analytickou metodu, kterou mnoz\u00ed pova\u017euj\u00ed za nejjednodu\u0161\u0161\u00ed, ale z\u00e1rove\u0148 pracnou s velk\u00fdm mno\u017estv\u00edm v\u00fdpo\u010dt\u016f, zejm\u00e9na pokud m\u00e1 vazn\u00edk velk\u00fd po\u010det uzl\u016f a prut\u016f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9b0514675\">Mezi dal\u0161\u00ed metody pat\u0159\u00ed:<\/p>\n\n\n\n<ul id=\"i6fzh3uhy3fggp17945268\" class=\"wp-block-list\">\n<li>Ritterova metoda - analyticko-diagnostick\u00e1<\/li>\n\n\n\n<li>Cremonsk\u00e1 metoda - vykreslov\u00e1n\u00ed<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"5bz3j6100\">Metoda spo\u010d\u00edv\u00e1 ve v\u00fdpo\u010dtu norm\u00e1lov\u00fdch sil v prutech p\u0159\u00edhradov\u00e9 konstrukce postupn\u00fdm rozd\u011blov\u00e1n\u00edm uzl\u016f (tj. bod\u016f, kde se pruty st\u00fdkaj\u00ed).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Je d\u016fle\u017eit\u00e9, aby uzel, kter\u00fd po\u010d\u00edt\u00e1me, m\u011bl hodnotu <strong>maxim\u00e1ln\u011b dv\u011b ty\u010de<\/strong> pro kter\u00e9 nezn\u00e1me norm\u00e1lov\u00e9 s\u00edly. Proto\u017ee m\u00e1me k dispozici dv\u011b rovnice rovnov\u00e1hy (vodorovn\u00e9 s\u00edly a svisl\u00e9 s\u00edly), m\u016f\u017eeme z t\u011bchto rovnic vypo\u010d\u00edtat a\u017e dv\u011b nezn\u00e1m\u00e9 s\u00edly.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"xvw3h143749\" class=\"wp-block-heading has-medium-font-size\">P\u0159\u00edru\u010dka k \u0159e\u0161en\u00ed krov\u016f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ya7my143661\">N\u00ed\u017ee najdete recept, pokyny v bodech pro \u0159e\u0161en\u00ed krovu:<\/p>\n\n\n\n<ol id=\"b0uhr3uhy3fggp17945292\" class=\"wp-block-list\">\n<li><em>Ozna\u010den\u00ed uzl\u016f - po\u0159adov\u00e1 \u010d\u00edsla (1,2,3...) nebo p\u00edsmena abecedy (A,B,C..)<\/em><\/li>\n\n\n\n<li><em>Ozna\u010den\u00ed ty\u010de - obvykle po sob\u011b jdouc\u00ed \u010d\u00edslice (1,2,3...)<\/em><\/li>\n\n\n\n<li><em>Stanoven\u00ed reakc\u00ed v nosi\u010d\u00edch<\/em><\/li>\n\n\n\n<li><em>V\u00fdpo\u010det podp\u016frn\u00fdch reakc\u00ed z rovnov\u00e1\u017en\u00fdch rovnic (Fx, Fy, Mi)<\/em><\/li>\n\n\n\n<li><em>Rozd\u011blen\u00ed uzl\u016f a v\u00fdpo\u010det sil v ty\u010d\u00edch z rovnov\u00e1\u017en\u00fdch rovnic (Fx, Fy)<\/em><\/li>\n\n\n\n<li><em>Kontrola posledn\u00edho uzlu - nepovinn\u00e9<\/em><\/li>\n\n\n\n<li><em>Souhrnn\u00e1 tabulka (\u010d. sloupce -&gt; norm\u00e1lov\u00e1 s\u00edla)<\/em><\/li>\n\n\n\n<li>N\u00e1kres p\u0159\u00edhradov\u00e9ho diagramu s vynesen\u00fdmi hodnotami sil ve sloupc\u00edch<\/li>\n<\/ol>\n\n\n\n<h2 id=\"igszs30304\" class=\"wp-block-heading has-medium-font-size\">Metoda vyv\u00e1\u017een\u00ed uzl\u016f - p\u0159\u00edklad \u0159e\u0161en\u00ed \u00falohy<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"g4vew31777\">N\u00ed\u017ee p\u0159ikl\u00e1d\u00e1m sch\u00e9ma krovu, kter\u00fd budeme \u0159e\u0161it. P\u0159\u00edhradov\u00fd nosn\u00edk se skl\u00e1d\u00e1 ze 6 uzl\u016f a 9 ty\u010d\u00ed. Je zat\u00ed\u017een t\u0159emi soust\u0159ed\u011bn\u00fdmi silami P1=2 kN, P2=6 kN a P3=3 kN.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"t77wp31885\">Uzly jsem ozna\u010dil \u010d\u00edsly 1 a\u017e 6. U podp\u011br jsem doplnil s\u00edly reakce podp\u011br R1 pro posuvnou oto\u010dnou podp\u011bru v uzlu 1. H4 a V4 pro neposuvnou oto\u010dnou podp\u011bru v uzlu 4. Pro p\u0159ipomenut\u00ed, typy podp\u011br a reakce podp\u011br najdete v tomto \u010dl\u00e1nku. <a href=\"https:\/\/solveredu.com\/cs\/post\/support-reactions\/\" rel=\"noreferrer noopener\" target=\"_blank\"><u>vstup<\/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\/cs\/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=\"P\u0159\u00edhradov\u00e1 metoda pro vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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\">V dal\u0161\u00edm kroku vypo\u010d\u00edt\u00e1me podp\u016frn\u00e9 reakce ze t\u0159\u00ed rovnov\u00e1\u017en\u00fdch rovnic.<\/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\/cs\/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=\"Reakce,P\u0159\u00edhradov\u00e9 konstrukce metoda vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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>V\u0161echny p\u0159\u00edklady pou\u017eit\u00e9 v tomto p\u0159\u00edsp\u011bvku byly vytvo\u0159eny v m\u00e9m <a href=\"https:\/\/solveredu.com\/cs\/vypocet-vazniku\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u>Kalkula\u010dka krov\u016f<\/u><\/a>. V t\u00e9to aplikaci ur\u010d\u00edte podp\u011brn\u00e9 reakce a norm\u00e1lov\u00e9 s\u00edly v p\u0159\u00edhradov\u00fdch prutech. V\u00fdpo\u010dty krok za krokem, n\u00e1kresy sil v jednotliv\u00fdch uzlech a analytick\u00fd v\u00fdpo\u010det. Nev\u00e1hejte a vyzkou\u0161ejte si ji<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4wl6557584\">Jakmile m\u00e1me vypo\u010d\u00edtan\u00e9 hodnoty podp\u016frn\u00fdch reakc\u00ed, m\u016f\u017eeme p\u0159istoupit k dal\u0161\u00edmu kroku, kter\u00fdm je odd\u011blen\u00ed uzl\u016f. V na\u0161em p\u0159\u00edpad\u011b za\u010dneme uzlem \u010d. 1. V tomto uzlu m\u00e1me dv\u011b nezn\u00e1m\u00e9 ty\u010de N1-5 a N1-2. \u00dahel 45 stup\u0148\u016f vypl\u00fdv\u00e1 z geometrie soustavy ty\u010d\u00ed.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Uzel 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\/cs\/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=\"Uzel , metoda Trusses pro vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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\">Na obr\u00e1zku v\u00fd\u0161e je zn\u00e1zorn\u011bn silov\u00fd diagram pro uzel 1 a v\u00fdpo\u010det sil v prutech 1-2 a 1-5. Tyto s\u00edly jsou vypo\u010dteny z rovnov\u00e1\u017en\u00fdch podm\u00ednek <strong>sou\u010det horizont\u00e1ln\u00edch silov\u00fdch projekc\u00ed<\/strong> a <strong>sou\u010det vertik\u00e1ln\u00edch projekc\u00ed sil<\/strong> mus\u00ed b\u00fdt nulov\u00e1. P\u0159\u00ed\u010dka 1-2 je v tahu, proto\u017ee hodnota s\u00edly je kladn\u00e1. Naproti tomu ty\u010d 1-5 je stla\u010den\u00e1, proto\u017ee hodnota s\u00edly je z\u00e1porn\u00e1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"ok96296824\">Dal\u0161\u00edm uzlem, kter\u00fdm se budeme zab\u00fdvat, je uzel 4. V tomto uzlu m\u00e1me tak\u00e9 dv\u011b nezn\u00e1m\u00e9 s\u00edly pro ty\u010de 4-3 a 4-6. Pou\u017eijeme tak\u00e9 podm\u00ednky rovnov\u00e1hy sou\u010det pr\u016fm\u011bt\u016f vodorovn\u00fdch sil a sou\u010det pr\u016fm\u011bt\u016f svisl\u00fdch sil.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Uzel 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\/cs\/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=\"Uzel , metoda Trusses pro vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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>P\u0159i kreslen\u00ed sil pro po sob\u011b jdouc\u00ed uzly nezapome\u0148te na reakce nebo vn\u011bj\u0161\u00ed s\u00edly p\u016fsob\u00edc\u00ed na uzel. \u010castou chybou p\u0159i \u0159e\u0161en\u00ed vyv\u00e1\u017een\u00ed uzl\u016f je vynech\u00e1n\u00ed t\u011bchto sil.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"68m4b112645\">Stejn\u00fdm zp\u016fsobem postupujeme i u dal\u0161\u00edch uzl\u016f, p\u0159i\u010dem\u017e mus\u00edme m\u00edt na pam\u011bti, \u017ee maxim\u00e1ln\u00ed po\u010det nezn\u00e1m\u00fdch sil v pruhu jsou dv\u011b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Uzel 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\/cs\/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=\"Uzel , metoda Trusses pro vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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\">Uzel 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\/cs\/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=\"Uzel , metoda Trusses pro vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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\">Uzel 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\/cs\/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=\"Uzel , metoda Trusses pro vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, 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\">Po v\u00fdpo\u010dtu v\u0161ech norm\u00e1lov\u00fdch sil v ty\u010d\u00edch p\u0159iprav\u00edme tabulky s kombinac\u00ed sil v ty\u010di - zp\u016fsob pr\u00e1ce v tahu\/stla\u010den\u00ed.<\/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\/cs\/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:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?resize=650%2C479&#038;ssl=1\" alt=\"shrnut\u00ed , P\u0159\u00edhradov\u00e9 konstrukce - metoda vyva\u017eov\u00e1n\u00ed uzl\u016f - p\u0159\u00edkladov\u00e9 \u00falohy, SolverEdu\" class=\"wp-image-1393\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?w=650&amp;ssl=1 650w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-8.jpg?resize=300%2C221&amp;ssl=1 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Krom\u011b toho je dobr\u00e9 nakreslit cel\u00fd diagram p\u0159\u00edhradov\u00e9ho vazn\u00edku s vynesen\u00fdmi hodnotami sil v prutech. \u010cervenou barvou jsou ozna\u010deny pruty v tahu a modrou barvou pruty v tlaku. \u010cernou barvou jsou vyzna\u010deny p\u0159\u00edpadn\u00e9 nulov\u00e9 pruty.<\/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\/cs\/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=\"V\u00fdpo\u010det krovu, s\u00edly v ty\u010d\u00edch na 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\">T\u00edmto kon\u010d\u00edme metodu vyva\u017eov\u00e1n\u00ed uzl\u016f - \u00fakoly.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"vx3iv149586\">D\u011bkujeme.<\/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":{"_crdt_document":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_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},"_wpas_customize_per_network":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\/cs\/wp-json\/wp\/v2\/posts\/1379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/comments?post=1379"}],"version-history":[{"count":12,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1379\/revisions"}],"predecessor-version":[{"id":3070,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1379\/revisions\/3070"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/media\/1488"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/media?parent=1379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/categories?post=1379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/tags?post=1379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}