{"id":7098,"date":"2024-04-29T14:46:30","date_gmt":"2024-04-29T12:46:30","guid":{"rendered":"https:\/\/info.formfedern.com\/calculate-coil-springs\/"},"modified":"2024-04-30T15:31:53","modified_gmt":"2024-04-30T13:31:53","slug":"calculate-coil-springs","status":"publish","type":"post","link":"https:\/\/info.formfedern.com\/en\/calculate-coil-springs\/","title":{"rendered":"Calculate coil springs"},"content":{"rendered":"<p><a href=\"https:\/\/info.formfedern.com\/spiralfedern-kaufen\/\">Coil springs<\/a> will be off<a href=\"https:\/\/info.formfedern.com\/federbandstahl-ab-lager\/\"> Spring band steel<\/a> produced. Spiral springs are coiled in a plane of the Archimedean spiral. The constant distance between the coils (a) prevents the individual coils from touching and ensures that the spring functions with little friction. Spiral springs are used in the component in such a way that one end is connected to a shaft and the other to the housing. Due to their spiral shape, they are ideally suited as compensating springs for smaller angles of rotation of up to 360 \u00b0. The stored force serves as a compensation or as a restoring torque. The spring characteristic of a spiral spring increases in a straight line.<\/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\/calculate-coil-springs\/#Formulas_for_calculating_a_spiral_spring_with_coil_spacing\" >Formulas for calculating a spiral spring with coil spacing<\/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\/calculate-coil-springs\/#Differentiation_between_coil_springs_and_mainsprings\" >Differentiation between coil springs and mainsprings?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Formulas_for_calculating_a_spiral_spring_with_coil_spacing\"><\/span>Formulas for calculating a spiral spring with coil spacing<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/\/Spiralfeder_Formelzeichen_800-300x265.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-2523\" src=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/\/Spiralfeder_Formelzeichen_800-300x265.jpg\" alt=\"Spiral spring formula symbols - Gutekunst form springs\" width=\"320\" height=\"282\" data-wp-pid=\"2523\" srcset=\"https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800-300x265.jpg 300w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800-768x678.jpg 768w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800-600x529.jpg 600w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800-227x200.jpg 227w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800-200x176.jpg 200w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800-800x706.jpg 800w, https:\/\/info.formfedern.com\/wp-content\/uploads\/Spiralfeder_Formelzeichen_800.jpg 850w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<ul>\n<li>a = winding spacing<\/li>\n<li>b = bandwidth<\/li>\n<li>\u03c6 = angle of rotation<\/li>\n<li>E = modulus of elasticity<\/li>\n<li>F = spring force<\/li>\n<li>h = tape thickness \/ material thickness<\/li>\n<li>lw = effective belt length<\/li>\n<li>n = number of turns<\/li>\n<li>I = moment of inertia<\/li>\n<li>ra = outer radius of the spring body<\/li>\n<li>ri = inner radius of the spring body<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Torque<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large M = \\frac{E\\cdot I \\cdot \\varphi }{57.3 \\cdot lw}<\/span>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\frac{E \\cdot b \\cdot h^{{3}} \\cdot \\varphi}{690 \\cdot lw}<\/span>\n<p><strong>Bending stress<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\sigma = \\frac{6 \\cdot M}{b \\cdot h^{{2}}}<\/span>\n<p><strong>Spring torque rate<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large R_{MR} = \\frac{M}{\\varphi} = \\frac{E \\cdot b \\cdot h^{{3}}}{690 \\cdot lw}<\/span>\n<p><strong>Torsional moment<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large M_{{t}} = F \\cdot ra<\/span>\n<p><strong>Maximum angle of rotation<\/strong><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\varphi_{{max}} = \\frac{180}{\\pi} \\frac{2 \\cdot lw\\sigma}{h \\cdot E}<\/span><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\frac{180}{\\pi} \\frac{M \\cdot lw}{E \\cdot I}<\/span><\/p>\n<p><strong>Effective tape length<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large lw = \\pi \\cdot n \\left ( ra + ri\\right )<\/span>\n<p><strong>Outer radius<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large ra = ri + n \\left ( h + a\\right )<\/span>\n<p><strong>Spring work<\/strong><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Large W = \\frac{1}{2} M \\cdot \\varphi<\/span>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Differentiation_between_coil_springs_and_mainsprings\"><\/span>Differentiation between coil springs and mainsprings?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Power springs are spiral springs without a coil spacing. Although they also have space between the turns when they are not tensioned, they are not made with a special pitch between the turns. Power springs are mostly used for large angles of rotation of up to 20 revolutions and more. Depending on the load profile, they generate more or less friction and are usually built into a housing. The spring characteristic of the mainspring is irregular.<\/p>\n<p>If you need an individual spring and mainspring, simply send us to<a href=\"mailto:info@gutekunst-formfedern.de\"> info@gutekunst-formfedern.de<\/a> or about the following<a href=\"https:\/\/info.formfedern.com\/federnanfrage\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Spring inquiry button<\/a> the required spring data with a sketch, drawing or CAD data for your application.<\/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>Further information<\/em><\/p>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/flachformfeder_auslegen\/\">Lay out flat spring<\/a><\/li>\n<\/ul>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/flachformfeder-berechnung\/\">Flat shape spring calculation<\/a><\/li>\n<\/ul>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/blattfeder-berechnung\/\">Blattfeder Berechnung<\/a><\/li>\n<\/ul>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/biegespannung-berechnen\/\">Calculate bending stress<\/a><\/li>\n<\/ul>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/formfedern-flachfedern-blattfedern\/\">Form springs, leaf springs and flat springs<\/a><\/li>\n<\/ul>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/federstahlbleche-eigenschaften\/\">Properties of spring steel sheets<\/a><\/li>\n<\/ul>\n<ul>\n<li style=\"padding-left: 30px;\"><a href=\"https:\/\/info.formfedern.com\/federbandstahl-ab-lager\/\">Spring band steel and spring steel sheets from stock<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>Coil springs will be off Spring band steel produced. Spiral springs are coiled in a plane of the Archimedean spiral. The constant distance between the coils (a) prevents the individual coils from touching and ensures that the spring functions with<\/p>\n","protected":false},"author":6,"featured_media":7099,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[827,701,711],"tags":[1328,1965,1968,1964,1242,841,1966,1963,1967],"class_list":["post-7098","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-industry-en","category-knowledge","category-strip-springs","tag-berechnen-en","tag-drehmoment-en","tag-effective-tape-length","tag-mainsprings","tag-spiralfedern-en","tag-spring-steel-strip-en","tag-spring-torque-rate","tag-spring-work","tag-torsional-moment"],"_links":{"self":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/7098","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=7098"}],"version-history":[{"count":5,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/7098\/revisions"}],"predecessor-version":[{"id":10805,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/posts\/7098\/revisions\/10805"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/media\/7099"}],"wp:attachment":[{"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/media?parent=7098"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/categories?post=7098"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/info.formfedern.com\/en\/wp-json\/wp\/v2\/tags?post=7098"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}