{"id":6176,"date":"2024-04-17T23:42:46","date_gmt":"2024-04-17T21:42:46","guid":{"rendered":"https:\/\/blog.federnshop.com\/hookeses-law\/"},"modified":"2024-04-19T14:02:16","modified_gmt":"2024-04-19T12:02:16","slug":"hookeses-law","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/en\/hookeses-law\/","title":{"rendered":"Hookese&#8217;s Law"},"content":{"rendered":"<p><strong>Hookesche&#8217;s law<\/strong> describes the <a href=\"https:\/\/de.wikipedia.org\/wiki\/Elastizit%C3%A4t_(Mechanik)\">elastic<\/a> <a href=\"https:\/\/de.wikipedia.org\/wiki\/Verformung\">deformation<\/a> of <a href=\"https:\/\/de.wikipedia.org\/wiki\/Festk%C3%B6rper\">solids<\/a> in a linear special case of the Elasticity Act. In this process, the elastic force of the body changes with stretching or squeezing. When applying <a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">compression springs,<\/a> <a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">extension springs<\/a> and <a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">torsion springs<\/a> with a <a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">cylindrical design,<\/a> there is a <a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\">linear relationship between expansion and force.<\/a> This linear-elastic behavior of solids is called Hookese&#8217;s Law, named after the English scholar Robert Hooke.<\/p>\n<p>By a different design &#8211; as by a changed winding diameter or winding distance &#8211; <a href=\"https:\/\/blog.federnshop.com\/federauswahl\/\" target=\"_blank\" rel=\"noopener noreferrer\">metal springs<\/a> can also be produced with a non-linear deformation, or <a href=\"https:\/\/blog.federnshop.com\/funktions-festigkeitsnachweis\/\" target=\"_blank\" rel=\"noopener noreferrer\">force-way ratio.<\/a> Basically, Hookese&#8217;s law describes the task of a metal spring: The longer the distance &#8220;s&#8221; is, around which a metal spring is stretched or compressed, the stronger the counteracting spring force &#8220;F&#8221; of the spring. Deformations as in the case of rubber, or plastic deformation in metal springs after exceeding the <a href=\"https:\/\/blog.federnshop.com\/zugfestigkeit-federwerkstoffe\/\" target=\"_blank\" rel=\"noopener noreferrer\">proportionality limit &#8220;Rp&#8221;<\/a> do not belong to the special linear case of the Law of Elasticity.<\/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\/en\/hookeses-law\/#Formula_Hookeses_Law_Metal_Springs\" >Formula Hookese&#8217;s Law Metal Springs<\/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\/en\/hookeses-law\/#The_spring_rate\" >The spring rate<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Formula_Hookeses_Law_Metal_Springs\"><\/span>Formula Hookese&#8217;s Law Metal Springs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<figure id=\"attachment_3054\" aria-describedby=\"caption-attachment-3054\" 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=\"Spring rate - Gutekunst Springs\" 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-3054\" class=\"wp-caption-text\">Spring rate<\/figcaption><\/figure>\n<p>Hooke&#8217;s law states that the spring travel &#8220;s&#8221; depends linearly on the acting force &#8220;F&#8221;.<\/p>\n<p>Hooke&#8217;s law formula: <span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{F}{s}<\/span><\/p>\n<p>In the formula of Hooke&#8217;s law, the <a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\" target=\"_blank\" rel=\"noopener noreferrer\">spring constant &#8220;R&#8221;<\/a> serves as a proportionality factor and describes the stiffness of the metal spring. With a tension spring, the linear behavior is shown when loaded with a weight. After doubling the weight, the double path &#8220;s&#8221; also occurs.<\/p>\n<p>This property is important, for example, for the application of metal springs as a force storage, resetting force, load distribution and for force-locking connections. For other materials, such as rubber, the relationship between acting force and expansion is not linear.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_spring_rate\"><\/span>The spring rate<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The <a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\">spring constant or spring rate<\/a> &#8220;R&#8221; depends on the <a href=\"https:\/\/blog.federnshop.com\/federstahldraht\/\">material<\/a> and the design of <a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\">the spring.<\/a> With increasing thickness or tighter winding of the wire used, the spring constant of a coil spring increases. It is given in the unit Newton per millimeter (N\/mm) and is the quotient of the spring force &#8220;F&#8221; and the travel &#8220;s&#8221;:<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{F}{s}<\/span>\n<p>&nbsp;<\/p>\n<p><strong>The following applies:<\/strong><\/p>\n<p>F = Spring Force [N]<\/p>\n<p>R = Spring rate \/ Spring constant [N\/mm]<\/p>\n<p>s = spring deflection [mm]<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Calculation of spring force:<\/strong><\/p>\n<p>The <a href=\"https:\/\/blog.federnshop.com\/federkraft-berechnen\/\" target=\"_blank\" rel=\"noopener noreferrer\">spring force<\/a> can be calculated using the following formula:<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">F=-R\\cdot s<\/span>\n<p>&nbsp;<\/p>\n<p><strong>The following applies:<\/strong><\/p>\n<p>F = spring force [N]; R = spring rate \/ spring constant [N\/mm]; s = spring travel [mm]<\/p>\n<p>Why is the <a href=\"https:\/\/blog.federnshop.com\/federkonstante\/\">spring rate<\/a> negative? The minus sign in the equation means that, relative to the resting position, the direction of deflection of a spring is opposite to the spring force.<\/p>\n<p>The spring force formula is used not only for <a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\">Compression springs,<\/a><a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\">Extension springs<\/a> and <a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\">Torsion springs,<\/a> but also for other elastic bodies. An important topic is therefore spring force in mechanics and materials technology, among other things.<\/p>\n<p>If you need <a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>pressure,<\/strong><\/a> <a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>extension<\/strong><\/a> or <a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>torsion springs,<\/strong><\/a> simply send us the data of the required metal spring with indication of the number of pieces and the drawing under <a href=\"mailto:verkauf@gutekunst-co.com\">service@gutekunst-co.com.<\/a> We will prepare a non-binding offer for you at short notice. For more information, please contact our technical department directly on (+49) 035877 2270.<\/p>\n<p>&nbsp;<\/p>\n<p><em>For more information:<\/em><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/beanspruchung-druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Types of stress compression springs<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/beanspruchung-zugfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Types of stress extension springs<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/dauerfestigkeit\/\" target=\"_blank\" rel=\"noopener noreferrer\">Fatigue strength<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/goodman-diagramm\/\" target=\"_blank\" rel=\"noopener noreferrer\">Goodman Chart<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/konische-druckfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Conical compression springs<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/kugelstrahlen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Ball blasting of metal springs<\/a><\/p>\n<p><a href=\"https:\/\/blog.federnshop.com\/federrate-berechnen\/\" target=\"_blank\" rel=\"noopener noreferrer\">Calculate spring rate for cylindrical springs<\/a><\/p>\n<p><a href=\"https:\/\/www.federnshop.com\" target=\"_blank\" rel=\"noopener noreferrer\">Spring shop by Gutekunst Federn<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Hookesche&#8217;s law describes the elastic deformation of solids in a linear special case of the Elasticity Act. In this process, the elastic force of the body changes with stretching or squeezing. When applying compression springs, extension springs and torsion springs<\/p>\n","protected":false},"author":4,"featured_media":3055,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[550,457,857],"tags":[445,444,443,442,439,446,440,441,437,438],"class_list":["post-6176","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-industry-en","category-knowledge","category-wire-springs","tag-elastic-force","tag-elasticity-act","tag-fail","tag-hookes-law","tag-metal-springs","tag-proportionality-factor","tag-spring-constant","tag-spring-rate","tag-springs","tag-tension-springs"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/6176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/comments?post=6176"}],"version-history":[{"count":12,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/6176\/revisions"}],"predecessor-version":[{"id":11031,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/6176\/revisions\/11031"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media\/3055"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media?parent=6176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/categories?post=6176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/tags?post=6176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}