{"id":3219,"date":"2024-03-22T17:25:45","date_gmt":"2024-03-22T15:25:45","guid":{"rendered":"https:\/\/blog.federnshop.com\/schubspannung-berechnen-englisch\/"},"modified":"2025-11-11T18:01:50","modified_gmt":"2025-11-11T16:01:50","slug":"schubspannung-berechnen-englisch","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/","title":{"rendered":"Calculate shear stress"},"content":{"rendered":"<p class=\"Text\">After determining the spring dimensions, the<a href=\"https:\/\/blog.federnshop.com\/en\/function-and-strength-verification-for-compression-springs\/\"> Proof of strength<\/a> be guided. For this purpose, the existing shear stress is determined.<\/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\/schubspannung-berechnen-englisch\/#Shear_stress_for_compression_springs\" >Shear stress for compression springs<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Shear_stress_compression_spring_from_force\" >Shear stress compression spring from force:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Shear_stress_Compression_spring_from_displacement\" >Shear stress Compression spring from displacement:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Corrected_shear_stress_compression_spring\" >Corrected shear stress compression spring:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Permissible_tension_of_compression_spring\" >Permissible tension of compression spring:<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Shear_stress_for_tension_springs\" >Shear stress for tension springs<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Shear_stress\" >Shear stress:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Corrected_shear_stress\" >Corrected shear stress :<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/blog.federnshop.com\/en\/schubspannung-berechnen-englisch\/#Allowable_voltage\" >Allowable voltage:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"Text\"><span class=\"ez-toc-section\" id=\"Shear_stress_for_compression_springs\"><\/span>Shear stress for compression springs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h4><\/h4>\n<h4 class=\"Text\"><span class=\"ez-toc-section\" id=\"Shear_stress_compression_spring_from_force\"><\/span>Shear stress compression spring from force:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large\\tau=\\frac{8DF}{\\pi d^{3}}<\/span>\n<h4><\/h4>\n<p>&nbsp;<\/p>\n<h4 class=\"Text\"><span class=\"ez-toc-section\" id=\"Shear_stress_Compression_spring_from_displacement\"><\/span>Shear stress Compression spring from displacement:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large\\tau=\\frac{Gds}{\\pi nD^{2}}<\/span>\n<p>&nbsp;<\/p>\n<p>While the shear stress \u03c4 is to be used for the design of statically or quasi-statically loaded springs, the corrected shear stress \u03c4<sub>k<\/sub> applies for dynamically stressed springs. The distribution of shear stress in the wire cross-section of a spring is uneven, the highest stress occurs on the inside diameter of the spring. With the tension correction factor k, which depends on the winding ratio (ratio of mean diameter to wire thickness) of the spring, the highest tension can be approximately determined. For dynamically stressed springs we get:<\/p>\n<h4><\/h4>\n<h4 class=\"Text\"><span class=\"ez-toc-section\" id=\"Corrected_shear_stress_compression_spring\"><\/span>Corrected shear stress compression spring:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\tau_{{\\kappa}}=\\kappa\\cdot\\tau <\/span>\n<p class=\"Text\">where the following applies for k (according to Bergstr\u00e4sser): <span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\kappa=\\frac{\\frac{D}{d}+0.5}{\\frac{D}{d}-0.75}<\/span><\/p>\n<p>Now the comparison is made with the permissible voltage. This is defined as follows:<\/p>\n<h4 class=\"Text\"><span class=\"ez-toc-section\" id=\"Permissible_tension_of_compression_spring\"><\/span>Permissible tension of compression spring:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\tau_{{zul}}=0.5\\cdot R_{{m}}<\/span>\n<p>or<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\tau_{{czul}}=0.56\\cdot R_{{m}}<\/span>\n<p>&nbsp;<\/p>\n<p>The values for the <a href=\"https:\/\/blog.federnshop.com\/zugfestigkeit-federwerkstoffe\/\" target=\"_blank\" rel=\"noopener noreferrer\">Minimum tensile strength R<sub>m<\/sub><\/a> are dependent on the wire thickness and can be found in the standards of the corresponding materials.<\/p>\n<p>As a rule, it must be possible to compress compression springs up to the block length, which is why the permissible stress for the block length is tc<sub>zul<\/sub> to consider.<\/p>\n<p class=\"Text\">At <a href=\"https:\/\/blog.federnshop.com\/en\/fatigue-strength\/\">dynamic stress<\/a> must lower and upper voltage (t<sub>k<\/sub>1 and t<sub>k<\/sub>2) of the corresponding stroke can 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<a href=\"https:\/\/www.beuth.de\/de\/norm\/din-en-13906-1\/189797622\" target=\"_blank\" rel=\"noopener noreferrer\"> Fatigue strength diagrams of EN 13906-1: 2002<\/a> refer to. If the tensions stand up to this comparison, the spring is fatigue-resistant with a maximum number of load cycles of 10<sup> 7<\/sup>.<\/p>\n<p>&nbsp;<\/p>\n<h2 class=\"Text\"><span class=\"ez-toc-section\" id=\"Shear_stress_for_tension_springs\"><\/span>Shear stress for tension springs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As with<a href=\"https:\/\/blog.federnshop.com\/druckfederberechnung-winfsb\/\"> Compression spring calculations<\/a> the existing shear stress is to be determined.<\/p>\n<h4 class=\"Text\"><span class=\"ez-toc-section\" id=\"Shear_stress\"><\/span>Shear stress:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\tau=\\frac{8DF}{\\pi d^{3}}<\/span>\n<p>&nbsp;<\/p>\n<p>The corrected stroke tension must also be calculated for dynamic loading (see Chapter 1.4.2.2).<\/p>\n<h4><\/h4>\n<h4><span class=\"ez-toc-section\" id=\"Corrected_shear_stress\"><\/span>Corrected shear stress :<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\tau_{{\\kappa}}=\\kappa\\cdot\\tau<\/span>\n<h4><\/h4>\n<h4><span class=\"ez-toc-section\" id=\"Allowable_voltage\"><\/span>Allowable voltage:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\tau_{{zul}}=0.45 \\cdot R_{{m}}<\/span>\n<p>&nbsp;<\/p>\n<p>The existing maximum voltage t<sub>n<\/sub> for the largest travel s<sub>n<\/sub> is set equal to the permissible voltage. To however <a href=\"https:\/\/blog.federnshop.com\/en\/relaxation-for-springs\/\">relaxation<\/a> To avoid this, only 80% of this spring travel should be used in practice.<\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large s_{{2}}=0.8 \\cdot s_{{n}}<\/span>\n<p>&nbsp;<\/p>\n<p>No generally applicable fatigue strength values can be given for dynamic loads, as additional stresses can occur at the bending points of the eyelets, some of which can exceed the permissible stresses. <a href=\"https:\/\/blog.federnshop.com\/en\/types-of-stress-extension-springs\/\">Tension springs should therefore only be subjected to static loads if possible<\/a> . If dynamic stress cannot be avoided, one should go for angled<a href=\"https:\/\/blog.federnshop.com\/en\/eyelet-shapes-extension-springs\/\"> Eyelets<\/a> do without and use rolled or screwed-in end pieces. A life test under later operating conditions makes sense. A <a href=\"https:\/\/blog.federnshop.com\/en\/ball-blasting-of-metal-springs\/\">Surface hardening by shot peening<\/a> is not feasible because of the tight turns.<\/p>\n<p>Explanation of symbols:<br \/>\nd = wire diameter (mm)<br \/>\nD = mean coil diameter (mm)<br \/>\nF = spring force (N)<br \/>\nG = shear modulus (N \/ mm\u00b2)<br \/>\nn = number of resilient coils (pieces)<br \/>\nRm = minimum tensile strength (N \/ mm\u00b2)<br \/>\ns = spring deflection (mm)<br \/>\n\u03c4 = shear stress (N \/ mm\u00b2)<br \/>\n\u03c4zul = permissible shear stress (N \/ mm\u00b2)<br \/>\n\u03c4czul = permissible shear stress for block length (N \/ mm\u00b2)<\/p>\n<p><em>For more information:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/produkte\/druckfedern\/berechnung.html\" target=\"_blank\" rel=\"noopener noreferrer\">Compression spring calculation online<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/berechnung\/zugfedern.html\" target=\"_blank\" rel=\"noopener noreferrer\">Tension spring calculation online<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/neues-federnberechnungsprogramm\/\">Spring calculation program WinFSB 8<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/zugfestigkeit-federwerkstoffe\/\">Tensile strength spring materials<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>After determining the spring dimensions, the Proof of strength be guided. For this purpose, the existing shear stress is determined. &nbsp; Shear stress for compression springs Shear stress compression spring from force: &nbsp; Shear stress Compression spring from displacement: &nbsp;<\/p>\n","protected":false},"author":4,"featured_media":3220,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[550,457,857],"tags":[555,551,553,552,556,557,554],"class_list":["post-3219","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-industry-en","category-knowledge","category-wire-springs","tag-bergstraesser-en","tag-festigkeitsnachweis-en","tag-korrigierte-schubspannung-en","tag-schubspannung-en","tag-schubspannung-druckfedern-en","tag-schubspannung-zugfedern-en","tag-zulaessige-spannung-en"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/3219","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=3219"}],"version-history":[{"count":11,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/3219\/revisions"}],"predecessor-version":[{"id":12217,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/posts\/3219\/revisions\/12217"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media\/3220"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/media?parent=3219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/categories?post=3219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/en\/wp-json\/wp\/v2\/tags?post=3219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}