{"id":6310,"date":"2023-02-01T17:14:33","date_gmt":"2023-02-01T15:14:33","guid":{"rendered":"https:\/\/info.formfedern.com\/mechanical-energy-in-metal-springs\/"},"modified":"2024-04-29T13:09:02","modified_gmt":"2024-04-29T11:09:02","slug":"mechanical-energy-in-metal-springs","status":"publish","type":"post","link":"https:\/\/info.formfedern.com\/en\/mechanical-energy-in-metal-springs\/","title":{"rendered":"Calculate span energy"},"content":{"rendered":"<p><a href=\"https:\/\/info.formfedern.com\/blattfedern-uebersicht\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5217 size-medium alignright\" src=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/\/Flach-und-Formfeder-300x300.jpg\" alt=\"Flat and shaped nibs from Gutekunst Formfedern\" width=\"300\" height=\"300\" data-wp-pid=\"5217\" data-pin-nopin=\"nopin\" srcset=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-300x300.jpg 300w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-150x150.jpg 150w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-768x768.jpg 768w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-600x600.jpg 600w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-270x270.jpg 270w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-230x230.jpg 230w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder-200x200.jpg 200w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flach-und-Formfeder.jpg 800w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>The tension energy is generated due to the <a href=\"https:\/\/info.formfedern.com\/technische-federn\/\" target=\"_blank\" rel=\"noopener noreferrer\">elastic deformation of a metal spring<\/a>. It is a form of potential energy and indicates how much mechanical work occurs when the metal spring is loaded or tensioned. To do mechanical work, will<a href=\"https:\/\/www.grund-wissen.de\/physik\/mechanik\/arbeit-leistung-energie\/energie.html\" target=\"_blank\" rel=\"noopener noreferrer\"> mechanical energy<\/a> needed. This can be found everywhere in our everyday lives: An internal combustion engine converts the chemical energy in fuel into mechanical kinetic energy through combustion, an electric motor generates mechanical energy from electrical energy, and a <a href=\"https:\/\/info.formfedern.com\/federarten\/\" target=\"_blank\" rel=\"noopener noreferrer\">metal spring<\/a> stores mechanical energy in the form of <a href=\"https:\/\/www.leifiphysik.de\/mechanik\/arbeit-energie-und-leistung\/grundwissen\/spannenergie\" target=\"_blank\" rel=\"noopener noreferrer\">tension energy<\/a> when it is loaded. Besides the tension energy, one can discover other types of mechanical energy:<\/p>\n<ul>\n<li>Every body has one due to its mass in the earth&#8217;s gravitational field<a href=\"https:\/\/de.wikipedia.org\/wiki\/Potentielle_Energie\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> potential energy<\/strong><\/a> (Position or altitude energy). For example, it causes free fall.<\/li>\n<\/ul>\n<ul>\n<li>When a body moves over a surface, the frictional resistance generates heat, and thus heat<a href=\"https:\/\/de.wikipedia.org\/wiki\/Reibung\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> Frictional energy<\/strong><\/a> .<\/li>\n<\/ul>\n<ul>\n<li>The faster a body is moved, the higher it is<a href=\"https:\/\/de.wikipedia.org\/wiki\/Kinetische_Energie\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> kinetic energy<\/strong><\/a> , also<strong> Kinetic energy<\/strong> called.<\/li>\n<\/ul>\n<ul>\n<li>If the body performs a circular motion, it lies<a href=\"https:\/\/de.wikipedia.org\/wiki\/Rotationsenergie\" target=\"_blank\" rel=\"noopener noreferrer\"><strong> Rotational energy<\/strong><\/a> in front.<\/li>\n<\/ul>\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:\/\/info.formfedern.com\/en\/mechanical-energy-in-metal-springs\/#Conversion_of_mechanical_energy_in_metal_springs\" >Conversion of mechanical energy in 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:\/\/info.formfedern.com\/en\/mechanical-energy-in-metal-springs\/#Calculation_of_the_clamping_energy\" >Calculation of the clamping energy<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Conversion_of_mechanical_energy_in_metal_springs\"><\/span>Conversion of mechanical energy in metal springs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In a burdened<a href=\"https:\/\/info.formfedern.com\/federarten\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Metal spring<\/a> is mechanical energy in the form of tension energy. This tension energy is released when the load is released. For example, if a ball is in front of the metal spring, it sets it in motion. The tension energy of the metal spring can be used to accelerate other bodies. As soon as the acceleration work has been done, the ball has kinetic energy. After this<a href=\"https:\/\/de.wikipedia.org\/wiki\/Energieerhaltungssatz\" target=\"_blank\" rel=\"noopener noreferrer\"> Energy Conservation Act<\/a> the energy is not lost in the process, it is only converted. This conversion of mechanical forms of energy is the basis of all processes in mechanics. However, in a non-perfect system (natural environment), this kinetic energy of the ball is lost during the movement due to frictional forces and air resistance down to zero.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Calculation_of_the_clamping_energy\"><\/span>Calculation of the clamping energy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-2028 size-medium\" src=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/\/Flachformfeder_Berechnung-300x156.jpg\" alt=\"Flat shape spring calculation\" width=\"300\" height=\"156\" data-wp-pid=\"2028\" data-pin-nopin=\"nopin\" srcset=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/Flachformfeder_Berechnung-300x156.jpg 300w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flachformfeder_Berechnung.jpg 600w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flachformfeder_Berechnung-385x200.jpg 385w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Flachformfeder_Berechnung-200x104.jpg 200w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>The tension energy is stored in a metal spring when tensioned. It depends on the loaded spring travel<strong><em> s<\/em><\/strong> (mm) of the metal spring and the spring constant<em><strong> R.<\/strong><\/em> (N \/ mm).<\/p>\n<p><u>The following applies to metal springs:<\/u><\/p>\n<ul>\n<li>The spring constant <strong> <em>R <\/em> <\/strong>(N\/mm) indicates the hardness of the metal spring<\/li>\n<li>The clamping energy <strong> <em>ESpann<\/em> <\/strong> is proportional to the spring constant <strong> <em>R<\/em> <\/strong> (N\/mm): <strong> <em>ESpann<\/em> <\/strong> ~ <em>R<\/em><\/li>\n<li>The clamping energy <strong> <em>EStension<\/em> <\/strong> is proportional to the square of the spring travel <strong> <em>s<\/em> <\/strong> (mm): <strong> <em>ESpann<\/em> <\/strong> ~ <em>s\u00b2<\/em><\/li>\n<\/ul>\n<p><u>Formula for span energy<\/u>:<br \/>\n<strong><em>ESpann<\/em><\/strong>=12 \u00b7 R \u00b7 s2<\/p>\n<p>To the spring constant<strong><em> R.<\/em><\/strong> (N \/ mm) for<a href=\"https:\/\/info.formfedern.com\/formfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Flat and shaped springs<\/a> in a load test (for the acting force<em><strong> F.<\/strong><\/em> is the spring deflection<em><strong> s<\/strong><\/em> measured), the following formula applies:<br \/>\nR=F2 &#8211; F1 \u00b7 s2 &#8211; s1<\/p>\n<p><em>F1<\/em> = Spring force preloaded<br \/>\n<em>s1<\/em> = Spring deflection preloaded<br \/>\n<em>F2<\/em> = Spring force loaded<br \/>\n<em>s2<\/em> = Loaded spring deflection<\/p>\n<p>&nbsp;<\/p>\n<p>See more information about the<a href=\"https:\/\/info.formfedern.com\/flachformfeder-berechnung\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Calculation of shaped springs<\/a> ,<a href=\"https:\/\/info.formfedern.com\/flachformfeder_auslegen\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Flat springs<\/a> ,<a href=\"https:\/\/info.formfedern.com\/kontaktfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Contact springs<\/a> and<a href=\"https:\/\/info.formfedern.com\/blattfeder-berechnung\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Leaf springs<\/a> . The technical experts at Gutekunst Formfedern support you in designing the right metal spring. Simply send &#8220;<a href=\"https:\/\/info.formfedern.com\/federnanfrage\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Spring request<\/a> &#8221; or via email<a href=\"mailto:info@gutekunst-formfedern.de\"> info@gutekunst-formfedern.de<\/a> the data of your desired metal spring with details of the number of pieces and the drawing or the CAD data. We will prepare a non-binding offer for you at short notice.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left;\"><a class=\"maxbutton-7 maxbutton maxbutton-federnanfrage\" target=\"_blank\" rel=\"noopener\" href=\"\/federnanfrage\/\"><span class='mb-text'>Federnanfrage<\/span><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><em>For more information:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/federarten\/\" target=\"_blank\" rel=\"noopener noreferrer\">Overview of spring types<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/flachformfeder-berechnung\/\" target=\"_blank\" rel=\"noopener noreferrer\">Flat shape spring calculation<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/technische-federn-medizintechnik\/\" target=\"_blank\" rel=\"noopener noreferrer\">Technical springs for medical technology<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/technische-federn-lebensmittelindustrie\/\" target=\"_blank\" rel=\"noopener noreferrer\">Technical springs for the food industry<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/leitfaehigkeit-metalle\/\" target=\"_blank\" rel=\"noopener noreferrer\">Conductivity metals<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/fertigungstechniken-formfedern-flachfedern-und-blattfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\">Manufacturing techniques form springs, flat springs and leaf springs<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>The tension energy is generated due to the elastic deformation of a metal spring. It is a form of potential energy and indicates how much mechanical work occurs when the metal spring is loaded or tensioned. To do mechanical work,<\/p>\n","protected":false},"author":6,"featured_media":5321,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[827,701,708],"tags":[837,1521,1524,1525,1522,1446,835,1523],"class_list":["post-6310","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-industry-en","category-knowledge","category-leaf-springs","tag-flat-springs","tag-good-art","tag-kinetic-energy","tag-kinetic-energy-en","tag-mechanical-energy","tag-metal-springs","tag-shaped-springs","tag-tension-energy"],"_links":{"self":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/6310","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/comments?post=6310"}],"version-history":[{"count":12,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/6310\/revisions"}],"predecessor-version":[{"id":6769,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/6310\/revisions\/6769"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/media\/5321"}],"wp:attachment":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/media?parent=6310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/categories?post=6310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/tags?post=6310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}