{"id":3700,"date":"2024-04-04T17:07:34","date_gmt":"2024-04-04T15:07:34","guid":{"rendered":"https:\/\/blog.federnshop.com\/vypocitejte-silu-pruziny\/"},"modified":"2024-04-22T11:38:04","modified_gmt":"2024-04-22T09:38:04","slug":"vypocitejte-silu-pruziny","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/cs\/vypocitejte-silu-pruziny\/","title":{"rendered":"Vypo\u010d\u00edtejte s\u00edlu pru\u017einy"},"content":{"rendered":"<p>S\u00edla pru\u017einy &#8211; zn\u00e1m\u00e1 tak\u00e9 jako tahov\u00e1 s\u00edla &#8211; vznik\u00e1, kdy\u017e je elastick\u00e9 t\u011bleso rozta\u017eeno nebo stla\u010deno &#8211; nap\u0159\u00edklad jedno<a href=\"https:\/\/blog.federnshop.com\/federauswahl\/\"> Kovov\u00e1 pru\u017eina z pru\u017einov\u00e9ho ocelov\u00e9ho dr\u00e1tu<\/a> . P\u016fsob\u00ed v n\u011bm nep\u0159\u00e1telsk\u00e1 s\u00edla, kter\u00e1 vrac\u00ed pru\u017einu do p\u016fvodn\u00ed polohy.<\/p>\n<p>&nbsp;<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.federnshop.com\/cs\/vypocitejte-silu-pruziny\/#Hookeuv_zakon\" >Hooke\u016fv z\u00e1kon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.federnshop.com\/cs\/vypocitejte-silu-pruziny\/#Vzorec_pro_vypocet_sily_pruziny\" >Vzorec pro v\u00fdpo\u010det s\u00edly pru\u017einy:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.federnshop.com\/cs\/vypocitejte-silu-pruziny\/#Jarni_konstanta\" >Jarn\u00ed konstanta<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Hookeuv_zakon\"><\/span>Hooke\u016fv z\u00e1kon<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Elastick\u00e1 s\u00edla t\u011bla se m\u011bn\u00ed s expanz\u00ed nebo kompres\u00ed. Na<a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Standardn\u00ed proveden\u00ed<\/a> (v\u00e1lcov\u00fd) se skl\u00e1d\u00e1 z a<a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\"> line\u00e1rn\u00ed vztah mezi expanz\u00ed a silou<\/a> . Toto line\u00e1rn\u011b-elastick\u00e9 chov\u00e1n\u00ed pevn\u00fdch l\u00e1tek se tak\u00e9 naz\u00fdv\u00e1<a href=\"https:\/\/blog.federnshop.com\/hookesches-gesetz\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Hooke\u016fv z\u00e1kon<\/a> ur\u010den\u00fd. Bylo pojmenov\u00e1no po anglick\u00e9m u\u010denci Robertu Hookeovi. Obecn\u011b plat\u00ed, \u017ee Hooke\u016fv z\u00e1kon je line\u00e1rn\u00edm zvl\u00e1\u0161tn\u00edm p\u0159\u00edpadem v z\u00e1kon\u011b pru\u017enosti.<\/p>\n<p>Lze konstatovat, \u017ee \u010d\u00edm del\u0161\u00ed je vzd\u00e1lenost \u201es\u201c, o kterou je pru\u017eina nata\u017eena nebo stla\u010dena, t\u00edm siln\u011bj\u0161\u00ed je p\u016fsob\u00edc\u00ed s\u00edla pru\u017einy \u201eF\u201c pru\u017einy.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Vzorec_pro_vypocet_sily_pruziny\"><\/span>Vzorec pro v\u00fdpo\u010det s\u00edly pru\u017einy:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>S\u00edlu pru\u017einy lze vypo\u010d\u00edtat podle n\u00e1sleduj\u00edc\u00edho vzorce:<\/strong><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">F = -R \\cdot s<\/span><br \/>\n&nbsp;<\/p>\n<ul>\n<li>F = s\u00edla pru\u017einy [N]<\/li>\n<li>R = tuhost pru\u017eina | konstanta pru\u017einy [N\/mm]<\/li>\n<li>s = zdvih pru\u017einy [mm]<\/li>\n<\/ul>\n<p>Pro\u010d?<a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\">Konstanta pru\u017einy<\/a> z\u00e1porn\u00fd? Znam\u00e9nko m\u00ednus v rovnici znamen\u00e1, \u017ee &#8211; ve vztahu k klidov\u00e9 poloze &#8211; je sm\u011br vych\u00fdlen\u00ed pru\u017einy opa\u010dn\u00fd k s\u00edle pru\u017einy.<\/p>\n<p><strong>Vzorec pro s\u00edlu pru\u017einy bez zad\u00e1n\u00ed rychlosti pru\u017een\u00ed (R)<\/strong><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">F=\\frac{Gd^{{4}}s}{8D^{{3}}n}<\/span><br \/>\n&nbsp;<\/p>\n<ul>\n<li>G = G modul (<a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Modul smyku pru\u017en\u00e9ho materi\u00e1lu<\/a> ) [N\/mm\u00b2]<\/li>\n<li>d = velikost dr\u00e1tu [mm]<\/li>\n<li>s = zdvih pru\u017einy [mm]<\/li>\n<li>D = st\u0159edn\u00ed pr\u016fm\u011br c\u00edvky [mm]<\/li>\n<li>n = po\u010det ot\u00e1\u010dek [St\u00fcck]<\/li>\n<\/ul>\n<p>Vzorec pro s\u00edlu pru\u017einy nen\u00ed jen na <a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\">Tla\u010dn\u00e9 pru\u017einy<\/a> , <a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\">Ta\u017en\u00e9 pru\u017einy<\/a> a <a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\">Zkrutn\u00e9 pru\u017einy<\/a>pou\u017eit\u00e9, ale tak\u00e9 pro dal\u0161\u00ed elastick\u00e1 t\u011bla. S\u00edla pru\u017einy je proto d\u016fle\u017eit\u00fdm t\u00e9matem v mechanice a technologii materi\u00e1l\u016f.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Jarni_konstanta\"><\/span>Jarn\u00ed konstanta<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The<a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\"> Konstanta pru\u017einy nebo tuhost pru\u017einy<\/a> \u201eR\u201c z\u00e1vis\u00ed na materi\u00e1lu a<a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\"> N\u00e1vrh pru\u017einy<\/a> . Se zvy\u0161uj\u00edc\u00ed se tlou\u0161\u0165kou nebo pevn\u011bj\u0161\u00edm nav\u00edjen\u00edm pou\u017eit\u00e9ho dr\u00e1tu se zvy\u0161uje pru\u017einov\u00e1 konstanta spir\u00e1lov\u00e9 pru\u017einy. Ud\u00e1v\u00e1 se v jednotk\u00e1ch Newton na milimetr (N \/ mm) a je pod\u00edlem s\u00edly pru\u017einy \u201eF\u201c a v\u00fdchylky pru\u017einy \u201es\u201c. Konstantu pru\u017einy lze tak\u00e9 vypo\u010d\u00edtat jednoduchou zm\u011bnou vzorce pro v\u00fdpo\u010det s\u00edly pru\u017einy:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">R = \\frac{F}{s}<\/span><br \/>\n&nbsp;<\/p>\n<ul>\n<li>F = s\u00edla pru\u017einy [N]<\/li>\n<li>R = rychlost pru\u017einy \/ konstanta pru\u017einy [N\/mm]<\/li>\n<li>s = zdvih pru\u017einy [mm]<\/li>\n<\/ul>\n<p><strong>Vzorec pro konstantu pru\u017einy bez zad\u00e1n\u00ed s\u00edly pru\u017einy (F) a pr\u016fhybu pru\u017einy<\/strong><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{Gd^{4}}{8D^{3}n}<\/span><br \/>\n&nbsp;<\/p>\n<ul>\n<li>G = G modul (<a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Modul smyku pru\u017en\u00e9ho materi\u00e1lu<\/a> ) [N\/mm\u00b2]<\/li>\n<li>d = velikost dr\u00e1tu [mm]<\/li>\n<li>D = st\u0159edn\u00ed pr\u016fm\u011br c\u00edvky [mm]<\/li>\n<li>n = po\u010det ot\u00e1\u010dek [St\u00fcck]<\/li>\n<\/ul>\n<p>V\u0161echny vzorce pro kontrolu a pro<a href=\"https:\/\/blog.federnshop.com\/funktions-festigkeitsnachweis\/\"> D\u016fkaz funkce<\/a> zde jsou k dispozici s\u00edla pru\u017einy, konstanta pru\u017einy a pr\u016fhyb pru\u017einy pro torzn\u00ed pru\u017einy pro kroutic\u00ed moment pru\u017einy, kroutic\u00ed moment pru\u017einy<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Druckfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Tla\u010dn\u00e9 pru\u017einy<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Zugfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Ta\u017en\u00e9 pru\u017einy<\/a> a<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Schenkelfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Zkrutn\u00e9 pru\u017einy<\/a> .<\/p>\n<p>F\u00fcr die Auslegung einer passenden <a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Druck-<\/a>, <a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Zug-<\/a> oder <a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Schenkelfeder<\/a> k\u00f6nnen Sie unser <a href=\"https:\/\/www.federnshop.com\/de\/federberechnung-auswahl.html\" target=\"_blank\" rel=\"noopener\">Federnberechnungsprogramm<\/a> nutzen oder Sie wenden sich bitte an unsere Technikabteilung unter Telefon (+49) 035877 227-13 und <a href=\"mailto:cunewalde@gutekunst-co.com\" target=\"_blank\" rel=\"noopener noreferrer\">cunewalde@gutekunst-co.com<\/a>.<\/p>\n<p><em>Dodate\u010dn\u00e9 informace:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\" target=\"_blank\" rel=\"noopener noreferrer\">Jarn\u00ed obchod<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/federberechnung-auswahl.html\" target=\"_blank\" rel=\"noopener noreferrer\">Jarn\u00ed v\u00fdpo\u010det WinFSB<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federauslegung\/\">N\u00e1vrh kovov\u00fdch pru\u017ein &#8211; praktick\u00e9 servisn\u00ed n\u00e1\u0159ad\u00ed<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/mischschaltungen-federn\/\">Pru\u017einy obvod\u016f sm\u011b\u0161ova\u010de<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>S\u00edla pru\u017einy &#8211; zn\u00e1m\u00e1 tak\u00e9 jako tahov\u00e1 s\u00edla &#8211; vznik\u00e1, kdy\u017e je elastick\u00e9 t\u011bleso rozta\u017eeno nebo stla\u010deno &#8211; nap\u0159\u00edklad jedno Kovov\u00e1 pru\u017eina z pru\u017einov\u00e9ho ocelov\u00e9ho dr\u00e1tu . P\u016fsob\u00ed v n\u011bm nep\u0159\u00e1telsk\u00e1 s\u00edla, kter\u00e1 vrac\u00ed pru\u017einu do p\u016fvodn\u00ed polohy. &nbsp; Hooke\u016fv<\/p>\n","protected":false},"author":4,"featured_media":3702,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[919,923,921,922,920,452],"tags":[608,611,961,610,959,960,609],"class_list":["post-3700","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dratene-pruziny","category-nekonecne-tazne-pruziny","category-nekonecne-tlacne-pruziny","category-tazne-pruziny","category-tlacne-pruziny","category-znalost","tag-druckfedern-cs","tag-federkonstante-cs","tag-odolnost","tag-schenkelfedern-cs","tag-sila-pruziny","tag-vypocitejte-silu-pruziny","tag-zugfedern-cs"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/posts\/3700","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/comments?post=3700"}],"version-history":[{"count":11,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/posts\/3700\/revisions"}],"predecessor-version":[{"id":11079,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/posts\/3700\/revisions\/11079"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/media\/3702"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/media?parent=3700"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/categories?post=3700"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/cs\/wp-json\/wp\/v2\/tags?post=3700"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}