{"id":1357,"date":"2024-09-23T14:58:54","date_gmt":"2024-09-23T12:58:54","guid":{"rendered":"https:\/\/solveredu.com\/?p=1357"},"modified":"2026-01-27T23:52:36","modified_gmt":"2026-01-27T22:52:36","slug":"rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania","status":"publish","type":"post","link":"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/","title":{"rendered":"Staticky neur\u010dit\u00e9 nap\u011bt\u00ed - \u00dakoly"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">V tomto z\u00e1znamu:<\/p>\n\n\n\n<ol id=\"pevmu3319\" class=\"wp-block-list\">\n<li><a href=\"#6o6iq\"><u>Metoda \u0159e\u0161en\u00ed staticky neur\u010dit\u00fdch \u00faloh<\/u><\/a><\/li>\n\n\n\n<li><a href=\"#hp40j28774\"><u>P\u0159\u00edklad \u0159e\u0161en\u00ed soust\u0159ed\u011bn\u00e9ho silov\u00e9ho \u00fakolu<\/u><\/a><\/li>\n\n\n\n<li><a href=\"#y33sc54589\">P\u0159\u00edklad \u0159e\u0161en\u00ed \u00falohy pr\u016fb\u011b\u017en\u00e9ho zat\u00ed\u017een\u00ed<\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"pkfv52319\">Norm\u00e1lov\u00e9 nap\u011bt\u00ed vyvolan\u00e9 tahov\u00fdmi a tlakov\u00fdmi silami v hranolov\u00e9 ty\u010di bylo pops\u00e1no v p\u0159\u00edsp\u011bvku <a href=\"https:\/\/solveredu.com\/cs\/post\/tension-and-compression\/\">Nap\u011bt\u00ed a stla\u010den\u00ed<\/a>. V tomto p\u0159\u00edsp\u011bvku jsme se zab\u00fdvali staticky ur\u010diteln\u00fdmi p\u0159\u00edklady, tj. p\u0159\u00edklady, kde jsme m\u011bli pouze jednu podp\u016frnou reakci a byli jsme schopni ji ur\u010dit z rovnov\u00e1\u017en\u00e9 podm\u00ednky.<\/p>\n\n\n\n<h1 id=\"6o6iq\" class=\"wp-block-heading has-large-font-size\">Staticky neur\u010dit\u00e9 \u00falohy<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"cnyux9403\">Nyn\u00ed se pod\u00edv\u00e1me na p\u0159\u00edklady, kter\u00e9 jsou o n\u011bco obt\u00ed\u017en\u011bj\u0161\u00ed, tj. staticky neur\u010dit\u00e9. Jedn\u00e1 se o \u00falohy, kde je ty\u010d na obou sv\u00fdch konc\u00edch pevn\u00e1 (dalo by se \u0159\u00edci, \u017ee je vlo\u017eena mezi dv\u011b neposuvn\u00e9 st\u011bny). V tomto p\u0159\u00edpad\u011b m\u00e1me dv\u011b nezn\u00e1m\u00e9 reak\u010dn\u00ed s\u00edly t\u011bchto op\u011br a pouze jednu rovnici rovnov\u00e1hy, proto hovo\u0159\u00edme o staticky neur\u010dit\u00fdch p\u0159\u00edkladech.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"569\" data-attachment-id=\"1360\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?fit=1028%2C571&amp;ssl=1\" data-orig-size=\"1028,571\" 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\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?fit=1024%2C569&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?resize=1024%2C569&#038;ssl=1\" alt=\"\" class=\"wp-image-1360\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?resize=1024%2C569&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?resize=300%2C167&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?resize=768%2C427&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad.jpg?w=1028&amp;ssl=1 1028w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Rovnov\u00e1\u017en\u00e9 rovnice<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"455\" height=\"61\" data-attachment-id=\"1362\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/fxx\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/fxx.jpg?fit=455%2C61&amp;ssl=1\" data-orig-size=\"455,61\" 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=\"fxx\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/fxx.jpg?fit=455%2C61&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/fxx.jpg?resize=455%2C61&#038;ssl=1\" alt=\"\" class=\"wp-image-1362\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/fxx.jpg?w=455&amp;ssl=1 455w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/fxx.jpg?resize=300%2C40&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/fxx.jpg?resize=450%2C61&amp;ssl=1 450w\" sizes=\"auto, (max-width: 455px) 100vw, 455px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Geometrick\u00e9 podm\u00ednky<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"441\" height=\"77\" data-attachment-id=\"1363\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/delta-l\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/delta-L.jpg?fit=441%2C77&amp;ssl=1\" data-orig-size=\"441,77\" 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=\"delta L\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/delta-L.jpg?fit=441%2C77&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/delta-L.jpg?resize=441%2C77&#038;ssl=1\" alt=\"\" class=\"wp-image-1363\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/delta-L.jpg?w=441&amp;ssl=1 441w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/delta-L.jpg?resize=300%2C52&amp;ssl=1 300w\" sizes=\"auto, (max-width: 441px) 100vw, 441px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"fzirg23835\">V tomto p\u0159\u00edpad\u011b pou\u017e\u00edv\u00e1me dal\u0161\u00ed <strong>geometrick\u00e1 podm\u00ednka<\/strong>. Tato podm\u00ednka \u0159\u00edk\u00e1, \u017ee celkov\u00e9 prodlou\u017een\u00ed ty\u010de mus\u00ed b\u00fdt nulov\u00e9. Proto\u017ee se oba konce ty\u010de nemohou pohybovat (jsou upout\u00e1ny), je celkov\u00e1 deformace na\u0161\u00ed soustavy rovna \u201e0\u201d.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"v52lp29905\">M\u016f\u017eete se setkat s \u00falohami, kde je li\u0161ta um\u00edst\u011bna vertik\u00e1ln\u011b. Z hlediska zp\u016fsobu \u0159e\u0161en\u00ed to nevad\u00ed, postupujeme \u00fapln\u011b stejn\u011b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"8s4bm29843\">Pokud jde o po\u010det fragment\u016f, na kter\u00e9 d\u011bl\u00edme n\u00e1\u0161 bar, z\u00e1le\u017e\u00ed na dvou faktorech:<\/p>\n\n\n\n<ul id=\"v0xyv44071\" class=\"wp-block-list\">\n<li>zm\u011bna zat\u00ed\u017een\u00ed - p\u0159\u00eddavn\u00e1 s\u00edla nebo trval\u00e9 zat\u00ed\u017een\u00ed<\/li>\n\n\n\n<li>zm\u011bna plochy pr\u016f\u0159ezu nebo tuhosti materi\u00e1lu (Young\u016fv modul).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"8bayo47344\">Oba tyto faktory ovliv\u0148uj\u00ed velikost deformace na\u0161\u00ed ty\u010de.<\/p>\n\n\n\n<h2 id=\"9w9kz104495\" class=\"wp-block-heading has-large-font-size\">Staticky neur\u010dit\u00e9 nap\u011bt\u00ed - \u00dakoly<\/h2>\n\n\n\n<h3 id=\"hp40j28774\" class=\"wp-block-heading\">P\u0159\u00edklad \u0159e\u0161en\u00ed soust\u0159ed\u011bn\u00e9ho silov\u00e9ho \u00fakolu<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"6m0e029283\">Jako prvn\u00ed p\u0159\u00edklad budeme \u0159e\u0161it \u00falohu s ty\u010d\u00ed zat\u00ed\u017eenou jedinou soust\u0159ed\u011bnou silou. Ty\u010d se bude skl\u00e1dat ze dvou \u010d\u00e1st\u00ed s r\u016fzn\u00fdmi pr\u016f\u0159ezy. \u00daloha bude \u0159e\u0161ena na symbolech bez \u010d\u00edseln\u00fdch \u00fadaj\u016f, to je v tomto t\u00e9matu \u00faloh b\u011b\u017en\u00e9.<\/p>\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 a vypo\u010dteny v m\u00fdch <a href=\"\/cs\/vypocet-tah-tlak\/\" target=\"_blank\" rel=\"noreferrer noopener\">Stretch kalkula\u010dka<\/a>. Vyz\u00fdv\u00e1m v\u00e1s, abyste si aplikaci vyzkou\u0161eli, s jej\u00ed\u017e pomoc\u00ed ur\u010d\u00edte norm\u00e1lov\u00e9 s\u00edly, norm\u00e1lov\u00e9 nap\u011bt\u00ed a prodlou\u017een\u00ed nebo zkr\u00e1cen\u00ed ty\u010de.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"318\" data-attachment-id=\"1364\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad1_1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?fit=1123%2C349&amp;ssl=1\" data-orig-size=\"1123,349\" 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=\"przyklad1_1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?fit=1024%2C318&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?resize=1024%2C318&#038;ssl=1\" alt=\"V\u00fdpo\u010det reakce, staticky neur\u010dit\u00e1 \u00faloha, SolverEdu\" class=\"wp-image-1364\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?resize=1024%2C318&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?resize=300%2C93&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?resize=768%2C239&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_1.jpg?w=1123&amp;ssl=1 1123w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"lnpha49294\">Obr\u00e1zek v\u00fd\u0161e ukazuje p\u0159\u00edklad, kter\u00fd budeme \u0159e\u0161it. Za\u010dn\u011bme ozna\u010den\u00edm reakc\u00ed v Ra a Rb v podp\u011br\u00e1ch. P\u0159ipom\u00edn\u00e1me, \u017ee vyj\u00e1d\u0159en\u00ed reakc\u00ed je libovoln\u00e9 a my se rozhodneme, jak je budeme br\u00e1t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"emg5w9907\">V dal\u0161\u00edm kroku nap\u00ed\u0161eme rovnici rovnov\u00e1hy pro s\u00edly ve vodorovn\u00e9m sm\u011bru a geometrickou podm\u00ednku. V na\u0161em p\u0159\u00edpad\u011b budeme m\u00edt dva intervaly od bodu A k p\u016fsoben\u00ed s\u00edly F a od bodu p\u016fsoben\u00ed s\u00edly F k bodu B. Pot\u00e9 vypracujeme vzorce pro prodlou\u017een\u00ed \u00faseku L1 a L2. Po dosazen\u00ed zn\u00e1m\u00fdch veli\u010din pro s\u00edly N1 a N2 v p\u0159\u00edslu\u0161n\u00fdch intervalech a sou\u010dinu E a A a dosazen\u00ed sou\u010dtu do nuly jsme schopni vypo\u010d\u00edtat reakci Ra. Po dosazen\u00ed reakce Ra do podm\u00ednky rovnov\u00e1hy pak z\u00edsk\u00e1me Rb.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"575\" height=\"609\" data-attachment-id=\"1366\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad1_21\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_21.jpg?fit=575%2C609&amp;ssl=1\" data-orig-size=\"575,609\" 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=\"przyklad1_21\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_21.jpg?fit=575%2C609&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_21.jpg?resize=575%2C609&#038;ssl=1\" alt=\"V\u00fdpo\u010det reakce, staticky neur\u010dit\u00e1 \u00faloha, SolverEdu\" class=\"wp-image-1366\" style=\"width:470px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_21.jpg?w=575&amp;ssl=1 575w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_21.jpg?resize=283%2C300&amp;ssl=1 283w\" sizes=\"auto, (max-width: 575px) 100vw, 575px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"hzoxz34568\">V dal\u0161\u00edm kroku, kdy\u017e u\u017e zn\u00e1me hodnoty podp\u011brn\u00fdch reakc\u00ed, m\u016f\u017eeme ur\u010dit norm\u00e1lov\u00e9 (osov\u00e9) s\u00edly, norm\u00e1lov\u00e1 nap\u011bt\u00ed a deformace pro ka\u017edou komoru. Tato f\u00e1ze v\u00fdpo\u010dtu je ji\u017e pops\u00e1na v polo\u017ece <a href=\"https:\/\/solveredu.com\/cs\/post\/rozci%C4%85ganie-i-%C5%9Bciskanie\/\" rel=\"noreferrer noopener\" target=\"_blank\"><u>Nap\u011bt\u00ed a stla\u010den\u00ed<\/u><\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"661\" height=\"890\" data-attachment-id=\"1367\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad1_311\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_311.jpg?fit=661%2C890&amp;ssl=1\" data-orig-size=\"661,890\" 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=\"przyklad1_311\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_311.jpg?fit=661%2C890&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_311.jpg?resize=661%2C890&#038;ssl=1\" alt=\"norm\u00e1lov\u00e9 s\u00edly, norm\u00e1lov\u00e1 nap\u011bt\u00ed, prodlou\u017een\u00ed , staticky neur\u010dit\u00fd prut , SolverEdu\" class=\"wp-image-1367\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_311.jpg?w=661&amp;ssl=1 661w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_311.jpg?resize=223%2C300&amp;ssl=1 223w\" sizes=\"auto, (max-width: 661px) 100vw, 661px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"1yeki49398\">Zn\u00e1me-li v\u0161echny veli\u010diny, m\u016f\u017eeme p\u0159istoupit ke kreslen\u00ed graf\u016f zn\u00e1zor\u0148uj\u00edc\u00edch zm\u011bnu t\u011bchto veli\u010din pro ka\u017ed\u00fd interval. Grafy jsou na obr\u00e1zku n\u00ed\u017ee.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"870\" height=\"949\" data-attachment-id=\"1369\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad1_4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_4.png?fit=870%2C949&amp;ssl=1\" data-orig-size=\"870,949\" 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=\"przyklad1_4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_4.png?fit=870%2C949&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_4.png?resize=870%2C949&#038;ssl=1\" alt=\"Diagram norm\u00e1lov\u00fdch sil, norm\u00e1lov\u00fdch nap\u011bt\u00ed, prodlou\u017een\u00ed , staticky neur\u010dit\u00fd prut , SolverEdu\" class=\"wp-image-1369\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_4.png?w=870&amp;ssl=1 870w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_4.png?resize=275%2C300&amp;ssl=1 275w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad1_4.png?resize=768%2C838&amp;ssl=1 768w\" sizes=\"auto, (max-width: 870px) 100vw, 870px\" \/><\/figure>\n\n\n\n<h3 id=\"y33sc54589\" class=\"wp-block-heading\">P\u0159\u00edklad \u0159e\u0161en\u00ed \u00falohy pr\u016fb\u011b\u017en\u00e9ho zat\u00ed\u017een\u00ed<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"58k0u54592\">Dal\u0161\u00edm p\u0159\u00edkladem, kter\u00fd budeme zkoumat, je \u00faloha s ty\u010d\u00ed se spojit\u00fdm zat\u00ed\u017een\u00edm q=4 kN\/m. Ty\u010d se bude skl\u00e1dat ze dvou \u010d\u00e1st\u00ed s r\u016fzn\u00fdmi pr\u016f\u0159ezy. Tentokr\u00e1t bude \u00faloha \u0159e\u0161ena na z\u00e1klad\u011b \u010d\u00edseln\u00fdch \u00fadaj\u016f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"azff061906\">\u00daloha bude \u0159e\u0161ena tak\u00e9 pomoc\u00ed <a href=\"https:\/\/solveredu.com\/cs\/vypocet-tah-tlak\/\">Stretch kalkula\u010dka<\/a> k \u0159e\u0161en\u00ed tohoto typu \u00faloh.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"630\" height=\"892\" data-attachment-id=\"1370\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad2_1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_1.jpg?fit=630%2C892&amp;ssl=1\" data-orig-size=\"630,892\" 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=\"przyklad2_1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_1.jpg?fit=630%2C892&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_1.jpg?resize=630%2C892&#038;ssl=1\" alt=\"V\u00fdpo\u010det reakce, staticky neur\u010dit\u00e1 \u00faloha, SolverEdu\" class=\"wp-image-1370\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_1.jpg?w=630&amp;ssl=1 630w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_1.jpg?resize=212%2C300&amp;ssl=1 212w\" sizes=\"auto, (max-width: 630px) 100vw, 630px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"z9q5o54605\">Obr\u00e1zek v\u00fd\u0161e ukazuje p\u0159\u00edklad, kter\u00fd budeme \u0159e\u0161it. Za\u010dn\u011bme ozna\u010den\u00edm reakc\u00ed v Ra a Rb v podp\u011br\u00e1ch. Jak vid\u00edte, sloupec je um\u00edst\u011bn svisle, abyste si uk\u00e1zali, jak takovou \u00falohu \u0159e\u0161it a jak kreslit grafy.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"q0jhs54608\">V dal\u0161\u00edm kroku nap\u00ed\u0161eme rovnici rovnov\u00e1hy a p\u0159id\u00e1me geometrickou podm\u00ednku. V na\u0161em p\u0159\u00edpad\u011b budeme m\u00edt dva intervaly od bodu A k po\u010d\u00e1tku zat\u00ed\u017een\u00ed q a od tohoto bodu k bodu B.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"5q8nn76615\">Pot\u00e9 vypo\u010d\u00edt\u00e1me vzorce pro prodlou\u017een\u00ed \u00fase\u010dek L1 a L2. Po dosazen\u00ed zn\u00e1m\u00fdch veli\u010din pro s\u00edly N1 a N2 do p\u0159\u00edslu\u0161n\u00fdch interval\u016f. Jak vid\u00edte ve druh\u00e9m odd\u00edle, kde je spojit\u00e9 zat\u00ed\u017een\u00ed, pou\u017eijeme k ur\u010den\u00ed prodlou\u017een\u00ed integr\u00e1l z pod\u00edlu norm\u00e1lov\u00e9 s\u00edly a sou\u010dinu Youngova modulu a plochy pr\u016f\u0159ezu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"3q1i476989\">Po vy\u0159e\u0161en\u00ed tohoto v\u00fdrazu z\u00edsk\u00e1me reakci Ra. Po dosazen\u00ed reakce Ra do rovnov\u00e1\u017en\u00e9 podm\u00ednky pak z\u00edsk\u00e1me Rb.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"623\" data-attachment-id=\"1371\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad2_2_11\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_2_11.jpg?fit=680%2C623&amp;ssl=1\" data-orig-size=\"680,623\" 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=\"przyklad2_2_11\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_2_11.jpg?fit=680%2C623&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_2_11.jpg?resize=680%2C623&#038;ssl=1\" alt=\"V\u00fdpo\u010det reakce, staticky neur\u010dit\u00e1 \u00faloha, SolverEdu\" class=\"wp-image-1371\" style=\"width:430px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_2_11.jpg?w=680&amp;ssl=1 680w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_2_11.jpg?resize=300%2C275&amp;ssl=1 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"uml0c54612\">V dal\u0161\u00edm kroku, kdy\u017e u\u017e zn\u00e1me hodnoty podp\u011brn\u00fdch reakc\u00ed, m\u016f\u017eeme ur\u010dit norm\u00e1lov\u00e9 (osov\u00e9) s\u00edly, norm\u00e1lov\u00e1 nap\u011bt\u00ed a deformace pro ka\u017edou komoru. Tato f\u00e1ze v\u00fdpo\u010dtu je ji\u017e pops\u00e1na v polo\u017ece <a href=\"https:\/\/solveredu.com\/cs\/vypocet-tah-tlak\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u><strong>Nap\u011bt\u00ed a stla\u010den\u00ed<\/strong><\/u><\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"721\" data-attachment-id=\"1372\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad2_3_111\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_3_111.jpg?fit=580%2C721&amp;ssl=1\" data-orig-size=\"580,721\" 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=\"przyklad2_3_111\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_3_111.jpg?fit=580%2C721&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_3_111.jpg?resize=580%2C721&#038;ssl=1\" alt=\"norm\u00e1lov\u00e9 s\u00edly, norm\u00e1lov\u00e1 nap\u011bt\u00ed, prodlou\u017een\u00ed , staticky neur\u010dit\u00fd prut , SolverEdu\" class=\"wp-image-1372\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_3_111.jpg?w=580&amp;ssl=1 580w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_3_111.jpg?resize=241%2C300&amp;ssl=1 241w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"5w7w054619\">Zn\u00e1me-li v\u0161echny veli\u010diny, m\u016f\u017eeme p\u0159istoupit ke kreslen\u00ed graf\u016f zn\u00e1zor\u0148uj\u00edc\u00edch zm\u011bnu t\u011bchto veli\u010din pro ka\u017ed\u00fd interval. Grafy jsou na obr\u00e1zku n\u00ed\u017ee.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"697\" data-attachment-id=\"1374\" data-permalink=\"https:\/\/solveredu.com\/cs\/post\/rozci%c4%85ganie-%c5%9bciskanie-statycznie-niewyznaczalne-zadania\/przyklad2_4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?fit=1186%2C807&amp;ssl=1\" data-orig-size=\"1186,807\" 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=\"przyklad2_4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?fit=1024%2C697&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?resize=1024%2C697&#038;ssl=1\" alt=\"Diagram norm\u00e1lov\u00fdch sil, norm\u00e1lov\u00fdch nap\u011bt\u00ed, prodlou\u017een\u00ed , staticky neur\u010dit\u00fd prut , SolverEdu\" class=\"wp-image-1374\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?resize=1024%2C697&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?resize=300%2C204&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?resize=768%2C523&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad2_4.jpg?w=1186&amp;ssl=1 1186w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"iuexm2329\">Jak je vid\u011bt, prodlou\u017een\u00ed na konci ty\u010de je nulov\u00e9, co\u017e potvrzuje, \u017ee jsme \u00falohu vy\u0159e\u0161ili dob\u0159e. T\u00edmto kon\u010d\u00edme heslo Tlakov\u00e1 statick\u00e1 neur\u010dit\u00e1 napjatost - \u00falohy.<\/p>","protected":false},"excerpt":{"rendered":"<p>W tym wpisie: Napr\u0119\u017cenie normalne wywo\u0142ane si\u0142ami rozci\u0105gaj\u0105cymi i \u015bciskaj\u0105cymi w pr\u0119cie pryzmatycznym zosta\u0142o om\u00f3wione we wpisie Rozci\u0105ganie i \u015bciskanie. W tym wpisie zajmowali\u015bmy si\u0119 przyk\u0142adami statycznie wyznaczalnymi, czyli takimi gdzie mieli\u015bmy tylko jedn\u0105 reakcj\u0119 podporow\u0105 i byli\u015bmy w stanie j\u0105 wyznaczy\u0107 z warunku r\u00f3wnowagi. Zadania statycznie niewyznaczalne Teraz zajmiemy si\u0119 przyk\u0142adami nieco trudniejszymi, czyli [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1377,"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":[14815,14816],"tags":[14862,14860,14861],"class_list":["post-1357","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","category-wytrzymalosc-materialow","tag-pret-roziagany","tag-rozciaganie-sciskanie","tag-statycznie-niewyznaczalne"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1.jpg?fit=1028%2C571&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-lT","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1357","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=1357"}],"version-history":[{"count":14,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1357\/revisions"}],"predecessor-version":[{"id":3083,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1357\/revisions\/3083"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/media\/1377"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/media?parent=1357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/categories?post=1357"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/tags?post=1357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}