{"id":8039,"date":"2021-05-28T15:29:41","date_gmt":"2021-05-28T13:29:41","guid":{"rendered":"https:\/\/blog.federnshop.com\/modulus-of-elasticity-in-the-spring-calculation\/"},"modified":"2021-05-28T15:29:41","modified_gmt":"2021-05-28T13:29:41","slug":"modulus-of-elasticity-in-the-spring-calculation","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/en\/modulus-of-elasticity-in-the-spring-calculation\/","title":{"rendered":"Modulus of elasticity in the spring calculation"},"content":{"rendered":"<p>The<strong> modulus of elasticity<\/strong> is a material parameter from materials engineering and defines the slope of the graph in the stress-strain diagram. This characteristic describes the relationship between<a href=\"https:\/\/de.wikipedia.org\/wiki\/Mechanische_Spannung\"> tension<\/a> and<a href=\"https:\/\/de.wikipedia.org\/wiki\/Dehnung\"> strain<\/a> in the deformation of a solid body in a linear-elastic behavior. The modulus of elasticity is among the abbreviations<strong> Modulus of elasticity<\/strong> or as a formula symbol<strong> E.<\/strong> in the<a href=\"https:\/\/blog.federnshop.com\/en\/design-of-metal-springs-part-2-calculation\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Spring calculation<\/a> known; it has the unit &#8220;N \/ mm\u00b2&#8221; of mechanical stress.<\/p>\n<p>The more resistance a material opposes its elastic deformation, the greater the amount of the<a href=\"https:\/\/blog.federnshop.com\/en\/modulus-of-elasticity-in-the-spring-calculation\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Modulus of elasticity<\/a> . A component made of a material with a high modulus of elasticity (for example spring steel) is thus stiffer than a component of the same construction (with identical geometric dimensions) made of a material with a low modulus of elasticity (for example rubber). The modulus of elasticity is the constant of proportionality in<a href=\"https:\/\/blog.federnshop.com\/en\/hookeses-law\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Hooke&#8217;s law<\/a> .<\/p>\n<figure id=\"attachment_1984\" aria-describedby=\"caption-attachment-1984\" style=\"width: 600px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-8042\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Spannungs-Dehnungs-Diagramm_ohne.jpg\" alt=\"Stress-strain diagram\" width=\"600\" height=\"513\" data-wp-pid=\"1984\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Spannungs-Dehnungs-Diagramm_ohne.jpg 600w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Spannungs-Dehnungs-Diagramm_ohne-300x257.jpg 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Spannungs-Dehnungs-Diagramm_ohne-200x171.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption id=\"caption-attachment-1984\" class=\"wp-caption-text\">Stress-strain diagram<\/figcaption><\/figure>\n<p>Rm = tensile strength<br \/>\n\u03c3 = stress<br \/>\nAL = L\u00fcders expansion<br \/>\nAg = uniform elongation<br \/>\nA = elongation at break<br \/>\nAt = total elongation at break<br \/>\n\u0190 = elongation<\/p>\n<p>The definition of the modulus of elasticity: The modulus of elasticity is the slope of the graph in the stress-strain diagram with uniaxial loading within the linear elasticity range. This linear area is also called<em><a href=\"https:\/\/blog.federnshop.com\/en\/hookeses-law\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Hooke&#8217;s straight line<\/a> .<\/em><\/p>\n<p><b>Here designated<\/b><\/p>\n<p>\u03c3 = F \/ A (= force \/ area) die<a href=\"https:\/\/de.wikipedia.org\/wiki\/Spannung_%28Mechanik%29\"> mechanical tension<\/a> (<a href=\"https:\/\/de.wikipedia.org\/wiki\/Normalspannung\"> Normal stress<\/a> , Not<a href=\"https:\/\/de.wikipedia.org\/wiki\/Schubspannung\"> Shear stress<\/a> ) and \u0190 = \u2206L \/ L0 the expansion. The expansion is the ratio of the change in length \u2206L = L &#8211; L0 to the original length L0<\/p>\n<p>E &#8211;<a href=\"https:\/\/blog.federnshop.com\/en\/modulus-of-elasticity-in-the-spring-calculation\/\" target=\"_blank\" rel=\"noopener noreferrer\"> modulus of elasticity<\/a><br \/>\n\u03c3 &#8211;<a href=\"http:\/\/www.maschinenbau-wissen.de\/skript3\/mechanik\/festigkeitslehre\/151-spannung\"> tension<\/a><br \/>\n\u03b5 &#8211;<a href=\"http:\/\/www.maschinenbau-wissen.de\/skript3\/mechanik\/festigkeitslehre\/143-dehnung\"> strain<\/a><\/p>\n<p>There is that here<a href=\"https:\/\/blog.federnshop.com\/en\/spring-steel-properties\/\"> modulus of elasticity<\/a> for spring calculation at room temperature (20 \u00b0 C) for the most important spring materials.<\/p>\n<p>However, the modulus of elasticity is not constant with regard to all physical quantities. So also influence the different environmental influences, such as<a href=\"https:\/\/de.wikipedia.org\/wiki\/Temperatur\"> temperature<\/a> or<a href=\"https:\/\/de.wikipedia.org\/wiki\/Feuchte\"> Humidity<\/a> , the modulus of elasticity. The adjustment of the modulus of elasticity is determined at higher temperatures using the following formula, where the<a href=\"https:\/\/blog.federnshop.com\/en\/spring-steel-properties\/\"> Spring material parameters<\/a> serve as a basis at room temperature (20 \u00b0 C).<\/p>\n<p><img decoding=\"async\" class=\"mathtex-equation-editor\" src=\"https:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=E_%7B%7Bt%7D%7D%3DE_%7B%7B20%7D%7D%5Cfrac%7B3620-T%7D%7B3600%7D\" alt=\"E_{&lt;wpml_curved wpml_value='t'&gt;&lt;\/wpml_curved&gt;}=E_{&lt;wpml_curved wpml_value='20'&gt;&lt;\/wpml_curved&gt;}\\frac&lt;wpml_curved wpml_value='3620-T'&gt;&lt;\/wpml_curved&gt;&lt;wpml_curved wpml_value='3600'&gt;&lt;\/wpml_curved&gt;\" align=\"absmiddle\"><\/p>\n<p>For the interpretation of a suitable<a href=\"https:\/\/blog.federnshop.com\/en\/information-compression-springs\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Compression-<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/en\/information-extension-springs\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Extension-<\/a> or<a href=\"https:\/\/blog.federnshop.com\/en\/information-torsion-springs\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Torsion spring<\/a> please contact our technical department directly by phone (+49) 035 877 227-13 or<a href=\"mailto:cunewalde@gutekunst-co.com\" target=\"_blank\" rel=\"noopener noreferrer\"> service@gutekunst-co.com<\/a> .<\/p>\n<p>&nbsp;<\/p>\n<p><em>For more information:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/zugfestigkeit-federwerkstoffe\/\" target=\"_blank\" rel=\"noopener noreferrer\">Tensile strength (Rm) spring materials<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/en\/spring-steel-properties\/\" target=\"_blank\" rel=\"noopener noreferrer\">Properties Spring materials with E and G modules<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/en\/design-of-metal-springs-part-2-calculation\/\" target=\"_blank\" rel=\"noopener noreferrer\">Design of metal springs &#8211; Part 1 &#8220;Basics&#8221;<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/en\/design-of-metal-springs-part-2-calculation\/\" target=\"_blank\" rel=\"noopener noreferrer\">Design of metal springs &#8211; Part 2 &#8220;Calculation&#8221;<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/federberechnung-auswahl.html\" target=\"_blank\" rel=\"noopener noreferrer\">Gutekunst spring calculation program WinFSB<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>The modulus of elasticity is a material parameter from materials engineering and defines the slope of the graph in the stress-strain diagram. This characteristic describes the relationship between tension and strain in the deformation of a solid body in a<\/p>\n","protected":false},"author":4,"featured_media":8042,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[457,867,857],"tags":[1932,1355,1460,1343],"class_list":["post-8039","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-knowledge","category-material-en","category-wire-springs","tag-hookes-straight-line","tag-modulus-of-elasticity-en-3","tag-stress-strain-diagram","tag-tensile-strenght-en"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/8039","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=8039"}],"version-history":[{"count":0,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/8039\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media\/8042"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media?parent=8039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/categories?post=8039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/tags?post=8039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}