{"id":5764,"date":"2024-02-28T22:28:35","date_gmt":"2024-02-28T20:28:35","guid":{"rendered":"https:\/\/info.formfedern.com\/leaf-spring-calculation\/"},"modified":"2024-05-06T12:49:01","modified_gmt":"2024-05-06T10:49:01","slug":"leaf-spring-calculation","status":"publish","type":"post","link":"https:\/\/info.formfedern.com\/en\/leaf-spring-calculation\/","title":{"rendered":"Blattfeder Berechnung"},"content":{"rendered":"<p><a href=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/\/Blattfedern_Berechnung-250x300.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1529 alignright\" src=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/\/Blattfedern_Berechnung-250x300.jpg\" alt=\"Blattfedern Berechnung\" width=\"300\" height=\"360\" data-wp-pid=\"1529\" srcset=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/Blattfedern_Berechnung-250x300.jpg 250w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Blattfedern_Berechnung-768x922.jpg 768w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Blattfedern_Berechnung-600x720.jpg 600w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Blattfedern_Berechnung-167x200.jpg 167w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Blattfedern_Berechnung.jpg 800w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>With the leaf spring or flat spring clamped on one side, the maximum bending stress, spring force, spring deflection (deflection), spring leaf thickness and spring rate can be calculated as follows. The bending stress increases linearly with the leaf spring or flat spring clamped on one side with an increase in force at the point of force application. With the rectangular leaf spring (variant a) the highest bending stress only at the clamping point. Thus, the rectangular leaf spring only develops its full benefit at the clamping point. In contrast, the trapezoidal leaf spring (variant b) a more uniform bending stress in cross section. As a result, the spring work of the trapezoidal leaf spring is up to three times better than that of the rectangular leaf spring, depending on the size of the trapezoid. A triangular shape would be ideal, but due to the design it can rarely be used.<\/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\/leaf-spring-calculation\/#Formulas\" >Formulas:<\/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\/leaf-spring-calculation\/#Maximum_bending_stress\" >Maximum bending stress<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/info.formfedern.com\/en\/leaf-spring-calculation\/#Maximum_spring_force\" >Maximum spring force<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/info.formfedern.com\/en\/leaf-spring-calculation\/#Spring_travel_deflection\" >Spring travel (deflection)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/info.formfedern.com\/en\/leaf-spring-calculation\/#Maximum_spring_deflection_deflection\" >Maximum spring deflection (deflection)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/info.formfedern.com\/en\/leaf-spring-calculation\/#Maximum_spring_leaf_thickness\" >Maximum spring leaf thickness<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/info.formfedern.com\/en\/leaf-spring-calculation\/#Spring_rate\" >Spring rate<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Formulas\"><\/span><span style=\"text-decoration: underline;\">Formulas:<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h2><span class=\"ez-toc-section\" id=\"Maximum_bending_stress\"><\/span>Maximum bending stress<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\sigma_{{b}} = \\frac{M}{W} = \\frac{6 \\cdot F \\cdot L}{b \\cdot h^{2}} \\leq \\sigma_{{b zul}}<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Maximum_spring_force\"><\/span>Maximum spring force<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large F_{{max}} = \\frac{b\\cdot h^{2} \\cdot \\sigma_{{b zul}}}{6 \\cdot L}<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Spring_travel_deflection\"><\/span>Spring travel (deflection)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large s = q_{1} \\cdot \\frac{L^{3}}{b \\cdot h^{3}} \\cdot \\frac{F}{E} <\/span><\/p>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{1}<\/span> for rectangular leaf spring (variant a) <span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{1} <\/span> = 4<\/p>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{1} <\/span> for trapezoidal leaf spring (variant b) <span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{{1}} \\approx 4 \\cdot \\left [ 3\/ \\left ( 2+b2\/b \\right )\\right ]<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Maximum_spring_deflection_deflection\"><\/span>Maximum spring deflection (deflection)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large s \\leq q_{{2}} \\cdot \\frac{L^{2}}{h} \\cdot \\frac{\\sigma_{{b zul}}}{E} <\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Maximum_spring_leaf_thickness\"><\/span>Maximum spring leaf thickness<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large h \\leq q_{{2}} \\cdot \\frac{L^{2}}{s} \\cdot \\frac{\\sigma_{{b zul}}}{E} <\/span><\/p>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{2} <\/span> for rectangular leaf spring (variant a) <span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{2} <\/span> = 2\/3<\/p>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{2} <\/span> for trapezoidal leaf spring (variant b) <span class=\"katex-eq\" data-katex-display=\"false\">\\Large q_{{2}} \\approx \\left ( 2\/3 \\right ) \\cdot \\left [ 3\/ \\left ( 2+b2\/b \\right )\\right ]<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Spring_rate\"><\/span>Spring rate<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"padding-left: 30px;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large C = \\frac{F}{s} = \\frac{Ebh^{3}}{4L^{3}}<\/span><\/p>\n<p>b = width of leaf spring (mm)<\/p>\n<p>b2 = smaller width of trapezoidal leaf spring (mm)<\/p>\n<p>E = modulus of elasticity<\/p>\n<p>F = spring force (N)<\/p>\n<p>h = material thickness spring plate \/ spring leaf (mm)<\/p>\n<p>L = length of leaf spring (mm)<\/p>\n<p>s = spring deflection (mm)<\/p>\n<p>&nbsp;<\/p>\n<p>Gutekunst Formfedern develops and manufactures individual products<a href=\"https:\/\/info.formfedern.com\/formfedern-flachfedern-blattfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Leaf springs<\/a> ,<a href=\"https:\/\/info.formfedern.com\/flachfedern\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Flat springs<\/a> and<a href=\"https:\/\/info.formfedern.com\/formfedern-flachfedern-blattfedern\/\"> Form springs<\/a> as samples, prototypes, in<a href=\"https:\/\/info.formfedern.com\/stanzteile-kleinserien\/\"> Small quantities<\/a> and large series. If you are interested, simply send us the data for the required form spring, stating the quantity and the drawing or CAD data, using the <a href=\"https:\/\/info.formfedern.com\/formfedern-anfrage\/\" target=\"_blank\" rel=\"noopener noreferrer\">following inquiry button<\/a> or by e-mail to <a href=\"mailto:info@gutekunst-formfedern.de\">info@gutekunst-formfedern.de<\/a>. 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-8 maxbutton maxbutton-spring-request-en\" target=\"_blank\" rel=\"noopener\" href=\"\/en\/spring-request\/\"><span class='mb-text'>Spring request<\/span><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><em>For more information, see:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/formfedern-flachfedern-blattfedern\/\">Form springs, flat springs and leaf springs<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/federbandstahl-ab-lager\/\">Spring band steel and spring steel sheets from stock<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/federarten\/\">Overview of spring types<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/federclips\/\">Spring clips for every application<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/federstahlklammer\/\">Spring steel clips galvanized and made of stainless steel<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/laserteile-bestellen\/\">Order laser parts quickly and easily<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>With the leaf spring or flat spring clamped on one side, the maximum bending stress, spring force, spring deflection (deflection), spring leaf thickness and spring rate can be calculated as follows. The bending stress increases linearly with the leaf spring<\/p>\n","protected":false},"author":6,"featured_media":5765,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[709,701,708,710,712,711],"tags":[1326,1328,1324,1323,1329,1330,1325,1327,1331],"class_list":["post-5764","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-flat-springs","category-knowledge","category-leaf-springs","category-shaped-springs","category-spring-washers","category-strip-springs","tag-bending-stress","tag-berechnen-en","tag-blattfeder-en","tag-blattfeder-berechnung-en","tag-fail","tag-federblattstaerke-en","tag-flachfeder-en","tag-formeln-en","tag-spring-rate"],"_links":{"self":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/5764","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=5764"}],"version-history":[{"count":4,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/5764\/revisions"}],"predecessor-version":[{"id":10890,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/5764\/revisions\/10890"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/media\/5765"}],"wp:attachment":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/media?parent=5764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/categories?post=5764"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/tags?post=5764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}