{"id":6220,"date":"2024-04-17T17:21:03","date_gmt":"2024-04-17T15:21:03","guid":{"rendered":"https:\/\/blog.federnshop.com\/hookese-toervenye\/"},"modified":"2024-04-19T14:05:23","modified_gmt":"2024-04-19T12:05:23","slug":"hookese-toervenye","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/hu\/hookese-toervenye\/","title":{"rendered":"Hooke t\u00f6rv\u00e9nye"},"content":{"rendered":"<p><strong>Hooke t\u00f6rv\u00e9nye<\/strong> le\u00edrja a<a href=\"https:\/\/de.wikipedia.org\/wiki\/Elastizit%C3%A4t_(Mechanik)\"> rugalmas<\/a><a href=\"https:\/\/de.wikipedia.org\/wiki\/Verformung\"> deform\u00e1ci\u00f3<\/a> nak,-nek<a href=\"https:\/\/de.wikipedia.org\/wiki\/Festk%C3%B6rper\"> Szil\u00e1rd anyagok<\/a> a rugalmass\u00e1g t\u00f6rv\u00e9ny\u00e9nek line\u00e1ris speci\u00e1lis esete. A test rugalmas ereje a terjeszked\u00e9ssel vagy \u00f6sszenyom\u00f3d\u00e1ssal v\u00e1ltozik. Haszn\u00e1lat sor\u00e1n<a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Nyom\u00f3rug\u00f3k<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> H\u00faz\u00f3rug\u00f3k<\/a> \u00e9s<a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Torzi\u00f3s rug\u00f3k<\/a> Val vel<a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> hengeres kialak\u00edt\u00e1s\u00fa<\/a> l\u00e9tezik 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 anyagok line\u00e1risan rugalmas viselked\u00e9s\u00e9t Hooke t\u00f6rv\u00e9ny\u00e9nek nevezik, amelyet Robert Hooke angol tud\u00f3sr\u00f3l neveztek el.<\/p>\n<p>K\u00fcl\u00f6nb\u00f6z\u0151 kialak\u00edt\u00e1s\u00fa lehet &#8211; p\u00e9ld\u00e1ul megv\u00e1ltozott tekercs\u00e1tm\u00e9r\u0151 vagy tekercsel\u00e9si t\u00e1vols\u00e1g &#8211;<a href=\"https:\/\/blog.federnshop.com\/federauswahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> F\u00e9mrug\u00f3k<\/a> nemline\u00e1ris deform\u00e1ci\u00f3val is, ill.<a href=\"https:\/\/blog.federnshop.com\/funktions-festigkeitsnachweis\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Teljes\u00edtm\u00e9ny \/ utaz\u00e1s ar\u00e1ny<\/a> termelni. Hooke t\u00f6rv\u00e9nye alapvet\u0151en le\u00edrja a f\u00e9mrug\u00f3 feladat\u00e1t: Min\u00e9l nagyobb az &#8222;s&#8221; t\u00e1vols\u00e1g, amellyel a f\u00e9mrug\u00f3t kiny\u00fajtj\u00e1k vagy \u00f6sszenyomj\u00e1k, ann\u00e1l er\u0151sebb a rug\u00f3 &#8222;F&#8221; ellens\u00falyoz\u00f3 rug\u00f3ereje. Deform\u00e1ci\u00f3k, mint a gumi, vagy plasztikus alakv\u00e1ltoz\u00e1sok a f\u00e9mrug\u00f3kban, a t\u00fall\u00e9p\u00e9s ut\u00e1n<a href=\"https:\/\/blog.federnshop.com\/zugfestigkeit-federwerkstoffe\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Ar\u00e1nyos &#8222;Rp&#8221; hat\u00e1r\u00e9rt\u00e9k<\/a> nem tartoznak a rugalmass\u00e1g t\u00f6rv\u00e9ny\u00e9nek line\u00e1ris speci\u00e1lis eset\u00e9hez.<\/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\/hookese-toervenye\/#A_Formula_Hooke_torvenyes_femrugoi\" >A Formula Hooke t\u00f6rv\u00e9nyes f\u00e9mrug\u00f3i<\/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\/hookese-toervenye\/#A_tavaszi_allando\" >A tavaszi \u00e1lland\u00f3<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"A_Formula_Hooke_torvenyes_femrugoi\"><\/span>A Formula Hooke t\u00f6rv\u00e9nyes f\u00e9mrug\u00f3i<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<figure id=\"attachment_6223\" aria-describedby=\"caption-attachment-6223\" style=\"width: 183px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2716 size-medium\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/\/Federkonstante-183x300.jpg\" alt=\"Tavaszi \u00e1lland\u00f3 - Gutekunst Federn\" width=\"183\" height=\"300\" data-wp-pid=\"2716\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkonstante-183x300.jpg 183w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkonstante-91x150.jpg 91w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkonstante-244x400.jpg 244w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkonstante-366x600.jpg 366w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkonstante-122x200.jpg 122w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkonstante.jpg 405w\" sizes=\"auto, (max-width: 183px) 100vw, 183px\" \/><figcaption id=\"caption-attachment-6223\" class=\"wp-caption-text\">Rug\u00f3\u00e1lland\u00f3<\/figcaption><\/figure>\n<p>A Hooke-t\u00f6rv\u00e9ny azt mondja, hogy a rug\u00f3 \u201es\u201d elt\u00e9r\u00edt\u00e9se line\u00e1risan f\u00fcgg az \u201eF\u201d er\u0151t\u0151l.<\/p>\n<p>Hooke t\u00f6rv\u00e9nye: <span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{F}{s}<\/span><\/p>\n<p>A Hooke-t\u00f6rv\u00e9ny k\u00e9plet\u00e9ben az <a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\" target=\"_blank\" rel=\"noopener noreferrer\">&#8222;R&#8221; rug\u00f3\u00e1lland\u00f3<\/a> ar\u00e1nyoss\u00e1gi t\u00e9nyez\u0151k\u00e9nt szolg\u00e1l, \u00e9s le\u00edrja a f\u00e9mrug\u00f3 merevs\u00e9g\u00e9t. A fesz\u00edt\u0151rug\u00f3 a line\u00e1ris viselked\u00e9st mutatja, ha s\u00falyra van terhelve. A s\u00faly megdupl\u00e1z\u00e1sa ut\u00e1n a kett\u0151s \u00fat is megt\u00f6rt\u00e9nik.<\/p>\n<p>Ez a tulajdons\u00e1g kulcsfontoss\u00e1g\u00fa p\u00e9ld\u00e1ul a f\u00e9mrug\u00f3k energiat\u00e1rol\u00e1s\u00e1hoz, az er\u0151k helyre\u00e1ll\u00edt\u00e1s\u00e1hoz, a terhel\u00e9seloszl\u00e1shoz \u00e9s a nem pozit\u00edv kapcsolatokhoz. M\u00e1s anyagokkal &#8211; p\u00e9ld\u00e1ul gumival &#8211; az er\u0151 \u00e9s a t\u00e1gul\u00e1s kapcsolata nem line\u00e1ris.<\/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>Az &#8222;R&#8221; <a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\">rug\u00f3\u00e1lland\u00f3 vagy rug\u00f3sebess\u00e9g<\/a> f\u00fcgg a rug\u00f3 <a href=\"https:\/\/blog.federnshop.com\/federstahldraht\/\">anyag\u00e1t\u00f3l<\/a> \u00e9s <a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\">kialak\u00edt\u00e1s\u00e1t\u00f3l<\/a>. A n\u00f6vekv\u0151 szil\u00e1rds\u00e1ggal vagy a felhaszn\u00e1lt huzal szorosabb tekercsel\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:<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{F}{s}<\/span>\n<p>&nbsp;<\/p>\n<p><strong>Az al\u00e1bbiak \u00e9rv\u00e9nyesek:<\/strong><\/p>\n<p>F = rug\u00f3er\u0151 [N]<\/p>\n<p>R = rug\u00f3sebess\u00e9g \/ rug\u00f3\u00e1lland\u00f3 [N\/mm]<\/p>\n<p>s = tavaszi utaz\u00e1s [mm]<\/p>\n<p>&nbsp;<\/p>\n<p><strong>A rug\u00f3er\u0151 kisz\u00e1m\u00edt\u00e1sa:<\/strong><\/p>\n<p>A <a href=\"https:\/\/blog.federnshop.com\/federkraft-berechnen\/\" target=\"_blank\" rel=\"noopener noreferrer\">rug\u00f3er\u0151t<\/a> a k\u00f6vetkez\u0151 k\u00e9plet seg\u00edts\u00e9g\u00e9vel lehet kisz\u00e1m\u00edtani:<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">F = -R\\cdot s<\/span>\n<p>&nbsp;<\/p>\n<p><strong>Az al\u00e1bbiak \u00e9rv\u00e9nyesek:<\/strong><\/p>\n<p>F = rug\u00f3er\u0151 [N]; R = rug\u00f3kulcs \/ rug\u00f3\u00e1lland\u00f3 [N\/mm]; s = rug\u00f3 \u00fatja [mm]<\/p>\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>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>Ha sz\u00fcks\u00e9ges<a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> Nyom\u00f3rug\u00f3k<\/strong><\/a> ,<a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> H\u00faz\u00f3rug\u00f3k<\/strong><\/a> vagy<a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> Torzi\u00f3s rug\u00f3k<\/strong><\/a> csak k\u00fcldj\u00f6n minket a<a href=\"mailto:verkauf@gutekunst-co.com\"> service@gutekunst-co.com<\/a> a sz\u00fcks\u00e9ges f\u00e9mrug\u00f3 adatai a darabsz\u00e1m \u00e9s a rajz r\u00e9szleteivel. R\u00f6vid id\u0151n bel\u00fcl nem k\u00f6telez\u0151 \u00e9rv\u00e9ny\u0171 aj\u00e1nlatot tesz\u00fcnk \u00d6nnek. Tov\u00e1bbi inform\u00e1ci\u00f3\u00e9rt forduljon m\u0171szaki oszt\u00e1lyunkhoz a service@gutekunst-co.com c\u00edmen.<\/p>\n<p>&nbsp;<\/p>\n<p><em>Tov\u00e1bbi inform\u00e1ci\u00f3:<\/em><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/beanspruchung-druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">A fesz\u00edt\u0151 kompresszi\u00f3s rug\u00f3k t\u00edpusai<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/beanspruchung-zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">A fesz\u00fclts\u00e9gfesz\u00edt\u0151 rug\u00f3k t\u00edpusai<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/dauerfestigkeit\/\" target=\"_blank\" rel=\"noopener noreferrer\">Kif\u00e1rad\u00e1si szil\u00e1rds\u00e1g<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/goodman-diagramm\/\" target=\"_blank\" rel=\"noopener noreferrer\">Goodman diagram<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/konische-druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">K\u00fapos nyom\u00f3rug\u00f3k<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/kugelstrahlen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">L\u00f6v\u00e9s f\u00e9mrug\u00f3kb\u00f3l<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/federrate-berechnen\/\" target=\"_blank\" rel=\"noopener noreferrer\">Sz\u00e1m\u00edtsa ki a hengeres rug\u00f3k rug\u00f3sebess\u00e9g\u00e9t<\/a><\/p>\n<p><a href=\"https:\/\/www.federnshop.com\" target=\"_blank\" rel=\"noopener noreferrer\">Gutekunst Federn rug\u00f3k boltja<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Hooke t\u00f6rv\u00e9nye le\u00edrja a rugalmas deform\u00e1ci\u00f3 nak,-nek Szil\u00e1rd anyagok a rugalmass\u00e1g t\u00f6rv\u00e9ny\u00e9nek line\u00e1ris speci\u00e1lis esete. A test rugalmas ereje a terjeszked\u00e9ssel vagy \u00f6sszenyom\u00f3d\u00e1ssal v\u00e1ltozik. Haszn\u00e1lat sor\u00e1n Nyom\u00f3rug\u00f3k , H\u00faz\u00f3rug\u00f3k \u00e9s Torzi\u00f3s rug\u00f3k Val vel hengeres kialak\u00edt\u00e1s\u00fa l\u00e9tezik a line\u00e1ris \u00f6sszef\u00fcgg\u00e9s<\/p>\n","protected":false},"author":4,"featured_media":6222,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[943,745,494],"tags":[1653,1655,628,631,1651,1652,521,1654,971,629],"class_list":["post-6220","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-huzalrugo","category-ipar-hu","category-tudas","tag-a-rugalmassag-toervenye","tag-aranyossagi-tenyezo","tag-druckfedern-hu","tag-federkonstante-hu","tag-federrate-hu","tag-hooke-toervenye","tag-metallfedern-hu","tag-rugalmas-ero","tag-rugoero","tag-zugfedern-hu"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts\/6220","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=6220"}],"version-history":[{"count":11,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts\/6220\/revisions"}],"predecessor-version":[{"id":11035,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/posts\/6220\/revisions\/11035"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/media\/6222"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/media?parent=6220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/categories?post=6220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/hu\/wp-json\/wp\/v2\/tags?post=6220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}