{"id":8154,"date":"2021-06-29T16:19:04","date_gmt":"2021-06-29T14:19:04","guid":{"rendered":"https:\/\/blog.federnshop.com\/function-and-strength-verification-for-compression-springs\/"},"modified":"2021-06-29T16:19:04","modified_gmt":"2021-06-29T14:19:04","slug":"function-and-strength-verification-for-compression-springs","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/en\/function-and-strength-verification-for-compression-springs\/","title":{"rendered":"Function and strength verification for compression springs"},"content":{"rendered":"<p><span style=\"text-decoration: underline;\">Every spring design of a compression spring consists of two stages<\/span> :<br \/>\n1. The proof of function, with the verification of the dimensions, spring rate, forces, spring travel and vibration behavior.<br \/>\n2. The proof of strength, with the verification of compliance with the permissible stress or fatigue strength.<\/p>\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-716 size-large\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/\/GF_Druckfedern_technisch-1024x663.jpg\" alt=\"Compression spring formula explanation\" width=\"700\" height=\"453\" data-wp-pid=\"716\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/GF_Druckfedern_technisch-1024x663.jpg 1024w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/GF_Druckfedern_technisch-300x194.jpg 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/GF_Druckfedern_technisch-600x389.jpg 600w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/GF_Druckfedern_technisch-200x130.jpg 200w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/GF_Druckfedern_technisch-800x518.jpg 800w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/GF_Druckfedern_technisch.jpg 2001w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/h2>\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\/function-and-strength-verification-for-compression-springs\/#Proof_of_function\" >Proof of function<\/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\/function-and-strength-verification-for-compression-springs\/#Proof_of_strength\" >Proof of strength<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Proof_of_function\"><\/span>Proof of function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following applies to cylindrical compression springs made of wire with a circular cross-section.<\/p>\n<p><span style=\"text-decoration: underline;\">Spring rate<\/span> :<\/p>\n<p style=\"text-align: left;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8160 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federrate.png\" alt=\"Druckfeder Formel - Federrate\" width=\"155\" height=\"100\" data-wp-pid=\"737\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federrate.png 309w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federrate-300x194.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federrate-200x129.png 200w\" sizes=\"auto, (max-width: 155px) 100vw, 155px\" \/><\/p>\n<p style=\"text-align: left;\">from R = F \/ s it follows &#8230;<\/p>\n<p><span style=\"text-decoration: underline;\">Spring force<\/span> :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8159 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federkraft.png\" alt=\"Druckfeder Formel - Federkraft\" width=\"158\" height=\"100\" data-wp-pid=\"736\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federkraft.png 315w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federkraft-300x190.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federkraft-200x127.png 200w\" sizes=\"auto, (max-width: 158px) 100vw, 158px\" \/><\/p>\n<p>as &#8230;<\/p>\n<p><span style=\"text-decoration: underline;\">Suspension travel<\/span> :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8161 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federweg.png\" alt=\"Druckfeder Formel - Federweg\" width=\"173\" height=\"100\" data-wp-pid=\"738\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federweg.png 345w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federweg-300x174.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Federweg-200x116.png 200w\" sizes=\"auto, (max-width: 173px) 100vw, 173px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Proof_of_strength\"><\/span>Proof of strength<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>After the spring dimensions have been determined, the strength must be verified. For this purpose, the existing shear stress is determined.<\/p>\n<p><span style=\"text-decoration: underline;\">Tension from strength<\/span> :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8163 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Kraft.png\" alt=\"Druckfeder Formel - Spannung aus Kraft\" width=\"152\" height=\"100\" data-wp-pid=\"740\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Kraft.png 303w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Kraft-300x198.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Kraft-200x132.png 200w\" sizes=\"auto, (max-width: 152px) 100vw, 152px\" \/><\/p>\n<p><span style=\"text-decoration: underline;\">Tension out of way<\/span> :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8165 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Weg.png\" alt=\"Druckfeder Formel - Spannung aus Weg\" width=\"158\" height=\"100\" data-wp-pid=\"741\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Weg.png 316w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Weg-300x190.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Spannung-aus-Weg-200x127.png 200w\" sizes=\"auto, (max-width: 158px) 100vw, 158px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>While the shear stress \u01ae is used for the design of statically or quasi-statically loaded springs, the corrected shear stress \u01aek applies to dynamically loaded springs. The shear stress distribution in the wire cross-section of a spring is uneven. The highest tension occurs on the inside diameter of the spring. With the tension correction factor &#8220;k&#8221;, which depends on the winding ratio (ratio of mean diameter &#8220;D&#8221; to wire size &#8220;d&#8221;) of the spring, the highest tension can be approximately determined. For dynamically stressed springs we get:<\/p>\n<p><span style=\"text-decoration: underline;\">Corrected shear stress<\/span> : \u01aek = k \u00b7 \u01ae<\/p>\n<p>where for k applies (according to Bergstr\u00e4\u00dfer):<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8162 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_K-Wert-Bergstraesser.png\" alt=\"Druckfeder Formel - k-Wert nach Bergstr\u00e4sser\" width=\"198\" height=\"180\" data-wp-pid=\"739\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_K-Wert-Bergstraesser.png 440w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_K-Wert-Bergstraesser-300x273.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_K-Wert-Bergstraesser-200x182.png 200w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/p>\n<p>Now the comparison is made with the permissible voltage. This is defined as follows:<\/p>\n<p><span style=\"text-decoration: underline;\">Allowable voltage:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8166 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung.png\" alt=\"Druckfeder Formel - Zul\u00e4ssige Spannung\" width=\"178\" height=\"50\" data-wp-pid=\"742\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung.png 355w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung-300x85.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung-200x56.png 200w\" sizes=\"auto, (max-width: 178px) 100vw, 178px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-8167 aligncenter\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung-bei-Blocklaenge.png\" alt=\"Druckfeder Formel - Zul\u00e4ssige Spannung bei Blockl\u00e4nge\" width=\"203\" height=\"50\" data-wp-pid=\"743\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung-bei-Blocklaenge.png 406w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung-bei-Blocklaenge-300x74.png 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Druckfeder_Formel_Zulaessige-Spannung-bei-Blocklaenge-200x49.png 200w\" sizes=\"auto, (max-width: 203px) 100vw, 203px\" \/><\/p>\n<p>The values for the minimum tensile strength Rm depend on the wire thickness and are in the relevant standards<a title=\"Spring materials\" href=\"https:\/\/blog.federnshop.com\/en\/spring-steel-properties\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Materials<\/a> to find. As a rule, it must be possible to compress compression springs up to the block length, which is why the permissible tension for the block length \u01aeczul must be taken into account. At<a href=\"https:\/\/blog.federnshop.com\/en\/types-of-stress-compression-springs\/\" target=\"_blank\" rel=\"noopener noreferrer\"> dynamic stress<\/a> the lower and upper voltage (\u01aek1 and \u01aek2) of the corresponding stroke must be determined. The difference is the stroke voltage. Both the upper tension and the stroke tension must not exceed the corresponding permissible values. These are the fatigue strength diagrams of the<a title=\"DIN EN 13906-1\" href=\"http:\/\/www.beuth.de\/de\/norm\/din-en-13906-1\/189797622\" target=\"_blank\" rel=\"noopener noreferrer\"> EN 13906-1<\/a> to be found, or in<a title=\"Druckfedernberechnung WinFSB\" href=\"https:\/\/www.federnshop.com\/de\/produkte\/druckfedern\/berechnung.html\" target=\"_blank\" rel=\"noopener noreferrer\"> Spring calculation program WinFSB<\/a> to check (<a title=\"Lehrvideo Druckfedernberechnung mit WinFSB\" href=\"https:\/\/youtu.be\/EusjLYwYpLE\" target=\"_blank\" rel=\"noopener noreferrer\"> Video compression spring calculation with WinFSB<\/a> ). If the tensions stand up to this comparison, the spring is fatigue-resistant with a limit load cycle of 10<sup> 7th<\/sup><\/p>","protected":false},"excerpt":{"rendered":"<p>Every spring design of a compression spring consists of two stages : 1. The proof of function, with the verification of the dimensions, spring rate, forces, spring travel and vibration behavior. 2. The proof of strength, with the verification of<\/p>\n","protected":false},"author":4,"featured_media":3378,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[858,457,987,857],"tags":[2089,1120,1496,786,551,1938,2087,552,441,437,2088,2086],"class_list":["post-8154","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-compression-springs","category-knowledge","category-service-en","category-wire-springs","tag-calculate-the-spring","tag-fatigue-strength","tag-federauslegung-en","tag-federnberechnung-en","tag-festigkeitsnachweis-en","tag-goodman-chart","tag-proof-of-function","tag-schubspannung-en","tag-spring-rate","tag-springs","tag-stress-correction-factor-k","tag-vibration-behavior"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/8154","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=8154"}],"version-history":[{"count":0,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/8154\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media\/3378"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media?parent=8154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/categories?post=8154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/tags?post=8154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}