{"id":3692,"date":"2024-04-04T13:38:54","date_gmt":"2024-04-04T11:38:54","guid":{"rendered":"https:\/\/blog.federnshop.com\/calculate-spring-force\/"},"modified":"2024-04-22T11:40:41","modified_gmt":"2024-04-22T09:40:41","slug":"calculate-spring-force","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/en\/calculate-spring-force\/","title":{"rendered":"Calculate spring force"},"content":{"rendered":"<p>The spring force &#8211; also known as the tension force &#8211; arises when an elastic body is pulled apart or compressed &#8211; for example one<a href=\"https:\/\/blog.federnshop.com\/federauswahl\/\"> Metal spring made of spring steel wire<\/a> . An opposing force acts in it, which returns the spring to its original position.<\/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\/en\/calculate-spring-force\/#Hookeses_Law\" >Hookese&#8217;s Law<\/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\/calculate-spring-force\/#Formula_for_calculating_the_spring_force\" >Formula for calculating the spring force:<\/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\/en\/calculate-spring-force\/#The_spring_rate\" >The spring rate<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Hookeses_Law\"><\/span>Hookese&#8217;s Law<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The elastic force of the body changes with expansion or compression. At<a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Standard designs<\/a> (cylindrical) consists of a<a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\"> linear relationship between expansion and force<\/a> . This linear-elastic behavior of solids is also called<a href=\"https:\/\/blog.federnshop.com\/hookesches-gesetz\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Hooke&#8217;s law<\/a> designated. It was named after the English scholar Robert Hooke. In general, Hooke&#8217;s law represents the linear special case in the law of elasticity.<\/p>\n<p>It can be stated that the longer the distance &#8220;s&#8221; by which a spring is stretched or compressed, the stronger the counteracting spring force &#8220;F&#8221; of the spring.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Formula_for_calculating_the_spring_force\"><\/span>Formula for calculating the spring force:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>The spring force can be calculated using the following formula:<\/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 = Spring Force [N]<\/li>\n<li>R = spring rate [N\/mm]<\/li>\n<li>s = spring deflection [mm]<\/li>\n<\/ul>\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><strong>Formula for spring force without specifying the spring rate (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 module (<a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Shear modulus of spring material<\/a> ) [N\/mm\u00b2]<\/li>\n<li>d = wire size [mm]<\/li>\n<li>s = spring deflection [mm]<\/li>\n<li>D = mean coil diameter [mm]<\/li>\n<li>n = number of turns [St\u00fcck]<\/li>\n<\/ul>\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>&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 material and the <a href=\"https:\/\/blog.federnshop.com\/bauformen-metallfedern\/\">design of the spring<\/a>. With increasing thickness or a tighter winding of the wire used, the spring constant of a helical spring increases. It is specified in the unit Newton per millimeter (N \/ mm) and is the quotient of the spring force &#8220;F&#8221; and the spring deflection &#8220;s&#8221;. The spring constant can also be calculated by simply changing the formula for calculating the spring force:<\/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 = Spring Force [N]<\/li>\n<li>R = Spring rate \/ Spring constant [N\/mm]<\/li>\n<li>s = spring deflection [mm]<\/li>\n<\/ul>\n<p><strong>Formula for spring constant without specifying the spring force (F) and spring deflection (s)<\/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 module (<a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Shear modulus of spring material<\/a> ) [N\/mm\u00b2]<\/li>\n<li>d = wire size [mm]<\/li>\n<li>D = mean coil diameter [mm]<\/li>\n<li>n = number of turns [St\u00fcck]<\/li>\n<\/ul>\n<p>All formulas for review and for<a href=\"https:\/\/blog.federnshop.com\/funktions-festigkeitsnachweis\/\"> proof of function<\/a> the spring force, the spring constant and the spring deflection for torsion springs for spring torque, spring torque rate are available here for<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Druckfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Compression springs<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Zugfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Extension springs<\/a> and<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Schenkelfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Torsion springs<\/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>For more information:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\" target=\"_blank\" rel=\"noopener noreferrer\">Spring shop<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/federberechnung-auswahl.html\" target=\"_blank\" rel=\"noopener noreferrer\">Spring calculation WinFSB<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federauslegung\/\">Design of metal springs &#8211; practical service tools<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/mischschaltungen-federn\/\">Mixer circuits springs<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>The spring force &#8211; also known as the tension force &#8211; arises when an elastic body is pulled apart or compressed &#8211; for example one Metal spring made of spring steel wire . An opposing force acts in it, which<\/p>\n","protected":false},"author":4,"featured_media":3694,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[858,859,861,860,457,857],"tags":[954,443,955,616,440,437,438],"class_list":["post-3692","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-compression-springs","category-endless-compression-springs","category-endless-extension-springs","category-extension-springs","category-knowledge","category-wire-springs","tag-calculate-spring-force","tag-fail","tag-resilience","tag-schenkelfedern-en","tag-spring-constant","tag-springs","tag-tension-springs"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/3692","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=3692"}],"version-history":[{"count":9,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/3692\/revisions"}],"predecessor-version":[{"id":10995,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/3692\/revisions\/10995"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media\/3694"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media?parent=3692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/categories?post=3692"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/tags?post=3692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}