{"id":3719,"date":"2024-04-04T17:17:44","date_gmt":"2024-04-04T15:17:44","guid":{"rendered":"https:\/\/blog.federnshop.com\/szamitsa-ki-a-rugoerot\/"},"modified":"2024-04-22T11:44:34","modified_gmt":"2024-04-22T09:44:34","slug":"szamitsa-ki-a-rugoerot","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/hu\/szamitsa-ki-a-rugoerot\/","title":{"rendered":"Sz\u00e1m\u00edtsa ki a rug\u00f3er\u0151t"},"content":{"rendered":"<p>A rug\u00f3er\u0151 &#8211; m\u00e1s n\u00e9ven fesz\u00edt\u0151er\u0151 &#8211; akkor keletkezik, amikor egy rugalmas testet sz\u00e9th\u00faznak vagy \u00f6sszenyomnak &#8211; p\u00e9ld\u00e1ul egyet<a href=\"https:\/\/blog.federnshop.com\/federauswahl\/\"> F\u00e9m rug\u00f3 ac\u00e9lhuzalb\u00f3l<\/a> . Ellent\u00e9tes er\u0151 hat benne, amely visszaadja a rug\u00f3t eredeti helyzet\u00e9be.<\/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\/hu\/szamitsa-ki-a-rugoerot\/#Hooke_torvenye\" >Hooke t\u00f6rv\u00e9nye<\/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\/hu\/szamitsa-ki-a-rugoerot\/#Keplet_a_rugoero_kiszamitasahoz\" >K\u00e9plet a rug\u00f3er\u0151 kisz\u00e1m\u00edt\u00e1s\u00e1hoz:<\/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\/hu\/szamitsa-ki-a-rugoerot\/#A_tavaszi_allando\" >A tavaszi \u00e1lland\u00f3<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Hooke_torvenye\"><\/span>Hooke t\u00f6rv\u00e9nye<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A test rugalmas ereje a terjeszked\u00e9ssel vagy \u00f6sszenyom\u00f3d\u00e1ssal v\u00e1ltozik. N\u00e1l n\u00e9l<a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Norm\u00e1l kivitel<\/a> (hengeres) \u00e1ll a<a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\"> line\u00e1ris \u00f6sszef\u00fcgg\u00e9s a t\u00e1gul\u00e1s \u00e9s az er\u0151 k\u00f6z\u00f6tt<\/a> . A szil\u00e1rd anyagoknak ezt a line\u00e1ris-rugalmas viselked\u00e9s\u00e9t is nevezz\u00fck<a href=\"https:\/\/blog.federnshop.com\/hookesches-gesetz\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Hooke t\u00f6rv\u00e9nye<\/a> kijel\u00f6lt. Robert Hooke angol tud\u00f3sr\u00f3l kapta a nev\u00e9t. \u00c1ltal\u00e1ban Hooke t\u00f6rv\u00e9nye k\u00e9pviseli a line\u00e1ris speci\u00e1lis esetet a rugalmass\u00e1g t\u00f6rv\u00e9ny\u00e9ben.<\/p>\n<p>Meg\u00e1llap\u00edthat\u00f3, hogy min\u00e9l hosszabb az &#8222;s&#8221; t\u00e1vols\u00e1g, amellyel egy rug\u00f3t kiny\u00fajtunk vagy \u00f6sszenyomunk, ann\u00e1l er\u0151sebb a rug\u00f3 &#8222;F&#8221; ellenhat\u00e1s\u00fa rug\u00f3ereje.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Keplet_a_rugoero_kiszamitasahoz\"><\/span>K\u00e9plet a rug\u00f3er\u0151 kisz\u00e1m\u00edt\u00e1s\u00e1hoz:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>A rug\u00f3er\u0151t a k\u00f6vetkez\u0151 k\u00e9plet seg\u00edts\u00e9g\u00e9vel lehet kisz\u00e1m\u00edtani:<\/strong><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">F = -R \\cdot s<\/span><br \/>\n&nbsp;<\/p>\n<ul>\n<li>F = rug\u00f3er\u0151 [N]<\/li>\n<li>R = rug\u00f3sebess\u00e9g | Rug\u00f3\u00e1lland\u00f3 [N\/mm]<\/li>\n<li>s = tavaszi utaz\u00e1s [mm]<\/li>\n<\/ul>\n<p>Mi\u00e9rt van az, hogy<a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\"> Rug\u00f3\u00e1lland\u00f3<\/a> negat\u00edv? Az egyenlet m\u00ednuszjele azt jelenti, hogy &#8211; a nyugalmi helyzethez viszony\u00edtva &#8211; a rug\u00f3 kit\u00e9r\u00e9s\u00e9nek ir\u00e1nya ellent\u00e9tes a rug\u00f3er\u0151vel.<\/p>\n<p><strong>A rug\u00f3er\u0151 k\u00e9plete a rug\u00f3sebess\u00e9g (R) megad\u00e1sa n\u00e9lk\u00fcl<\/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\"> A rug\u00f3anyag ny\u00edr\u00f3 modulusa<\/a> ) [N\/mm\u00b2]<\/li>\n<li>d = vezet\u00e9k m\u00e9rete [mm]<\/li>\n<li>s = tavaszi utaz\u00e1s [mm]<\/li>\n<li>D = tekercs \u00e1tlagos \u00e1tm\u00e9r\u0151je [mm]<\/li>\n<li>n = fordulatok sz\u00e1ma [St\u00fcck]<\/li>\n<\/ul>\n<p>A rug\u00f3er\u0151 k\u00e9plete nemcsak<a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\"> Nyom\u00f3rug\u00f3k<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\"> H\u00faz\u00f3rug\u00f3k<\/a> \u00e9s<a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\"> Torzi\u00f3s rug\u00f3k<\/a> haszn\u00e1lt, de m\u00e1s rugalmas testekhez is. A rug\u00f3er\u0151 ez\u00e9rt fontos t\u00e9ma a mechanik\u00e1ban \u00e9s az anyagtechnik\u00e1ban.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"A_tavaszi_allando\"><\/span>A tavaszi \u00e1lland\u00f3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A<a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\"> Tavaszi \u00e1lland\u00f3 vagy tavaszi sebess\u00e9g<\/a> Az &#8222;R&#8221; az anyagt\u00f3l \u00e9s az anyagt\u00f3l f\u00fcgg<a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\"> A rug\u00f3 kialak\u00edt\u00e1sa<\/a> . A felhaszn\u00e1lt huzal vastags\u00e1g\u00e1nak n\u00f6veked\u00e9s\u00e9vel vagy szorosabb felteker\u00e9s\u00e9vel a spir\u00e1lis rug\u00f3 rug\u00f3\u00e1lland\u00f3ja n\u00f6vekszik. Ez a Newton per millim\u00e9ter (N \/ mm) egys\u00e9gben van megadva, \u00e9s az &#8222;F&#8221; rug\u00f3er\u0151 \u00e9s az &#8222;s&#8221; rug\u00f3hajl\u00e1s h\u00e1nyadosa. A rug\u00f3\u00e1lland\u00f3 \u00fagy is kisz\u00e1m\u00edthat\u00f3, hogy egyszer\u0171en megv\u00e1ltoztatja a rug\u00f3er\u0151 kisz\u00e1m\u00edt\u00e1s\u00e1nak k\u00e9plet\u00e9t:<\/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 = rug\u00f3er\u0151 [N]<\/li>\n<li>R = rug\u00f3sebess\u00e9g \/ rug\u00f3\u00e1lland\u00f3 [N\/mm]<\/li>\n<li>s = tavaszi utaz\u00e1s [mm]<\/li>\n<\/ul>\n<p><strong>A rug\u00f3\u00e1lland\u00f3 k\u00e9plete a rug\u00f3er\u0151 (F) \u00e9s a rug\u00f3hajl\u00e1s (ok) megad\u00e1sa n\u00e9lk\u00fcl<\/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\"> A rug\u00f3anyag ny\u00edr\u00f3 modulusa<\/a> ) [N\/mm\u00b2]<\/li>\n<li>d = vezet\u00e9k m\u00e9rete [mm]<\/li>\n<li>D = tekercs \u00e1tlagos \u00e1tm\u00e9r\u0151je [mm]<\/li>\n<li>n = fordulatok sz\u00e1ma [St\u00fcck]<\/li>\n<\/ul>\n<p>Az \u00f6sszes k\u00e9plet a fel\u00fclvizsg\u00e1latra \u00e9s a<a href=\"https:\/\/blog.federnshop.com\/funktions-festigkeitsnachweis\/\"> A m\u0171k\u00f6d\u00e9s igazol\u00e1sa<\/a> a rug\u00f3er\u0151, a rug\u00f3\u00e1lland\u00f3 \u00e9s a torzi\u00f3s rug\u00f3k rug\u00f3hajl\u00e1sa a rug\u00f3nyomat\u00e9khoz, a rug\u00f3nyomat\u00e9k sebess\u00e9ge itt \u00e9rhet\u0151 el<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Druckfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Nyom\u00f3rug\u00f3k<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Zugfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> H\u00faz\u00f3rug\u00f3k<\/a> \u00e9s<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Schenkelfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Torzi\u00f3s rug\u00f3k<\/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>Tov\u00e1bbi inform\u00e1ci\u00f3:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\" target=\"_blank\" rel=\"noopener noreferrer\">Tavaszi bolt<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/federberechnung-auswahl.html\" target=\"_blank\" rel=\"noopener noreferrer\">Tavaszi sz\u00e1m\u00edt\u00e1s WinFSB<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federauslegung\/\">F\u00e9mrug\u00f3k tervez\u00e9se &#8211; praktikus szervizeszk\u00f6z\u00f6k<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/mischschaltungen-federn\/\">A kever\u0151 \u00e1ramk\u00f6r\u00f6k rug\u00f3k<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>A rug\u00f3er\u0151 &#8211; m\u00e1s n\u00e9ven fesz\u00edt\u0151er\u0151 &#8211; akkor keletkezik, amikor egy rugalmas testet sz\u00e9th\u00faznak vagy \u00f6sszenyomnak &#8211; p\u00e9ld\u00e1ul egyet F\u00e9m rug\u00f3 ac\u00e9lhuzalb\u00f3l . Ellent\u00e9tes er\u0151 hat benne, amely visszaadja a rug\u00f3t eredeti helyzet\u00e9be. &nbsp; Hooke t\u00f6rv\u00e9nye A test rugalmas ereje<\/p>\n","protected":false},"author":4,"featured_media":3721,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[943,946,944,494,947,945],"tags":[628,973,631,971,630,972,629],"class_list":["post-3719","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-huzalrugo","category-huzorugok","category-nyomorugok","category-tudas","category-vegtelen-huzorugok","category-vegtelen-nyomorugok","tag-druckfedern-hu","tag-ellenallo-kepesseg","tag-federkonstante-hu","tag-rugoero","tag-schenkelfedern-hu","tag-szamitsa-ki-a-rugoerot","tag-zugfedern-hu"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts\/3719","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/comments?post=3719"}],"version-history":[{"count":8,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts\/3719\/revisions"}],"predecessor-version":[{"id":11082,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts\/3719\/revisions\/11082"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/media\/3721"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/media?parent=3719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/categories?post=3719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/tags?post=3719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}