{"id":2983,"date":"2026-04-16T17:10:32","date_gmt":"2026-04-16T09:10:32","guid":{"rendered":"https:\/\/www.handaspring.com\/?p=2983"},"modified":"2026-10-19T08:25:26","modified_gmt":"2026-10-19T00:25:26","slug":"helical-spring-design-guide-formulas-calculations-best-practices","status":"publish","type":"post","link":"https:\/\/www.handaspring.com\/de\/helical-spring-design.html","title":{"rendered":"Leitfaden f\u00fcr die Konstruktion von Spiralfedern: Formeln, Berechnungen und bew\u00e4hrte Praktiken"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Beherrschen Sie die Auslegung von Schraubenfedern mit den wichtigsten Formeln, Berechnungen und bew\u00e4hrten Verfahren. Lernen Sie, wie Sie Federrate, Spannung und Durchbiegung berechnen und Materialien f\u00fcr Druck-, Zug- und Torsionsfedern ausw\u00e4hlen.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_89 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\">Inhaltsverzeichnis<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Inhaltsverzeichnis ein-\/ausblenden\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Umschalten<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/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:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Introduction\" >Einf\u00fchrung<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#1_Basic_Geometry_of_Helical_Springs\" >1. Grundlegende Geometrie von Spiralfedern<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#2_Spring_Rate_Stiffness_Formula\" >2. Formel f\u00fcr die Federrate (Steifigkeit)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#For_Compression_and_Tension_Springs\" >F\u00fcr Druck- und Zugfedern<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Typical_Shear_Modulus_Values\" >Typische Schermodulwerte<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#For_Torsion_Springs\" >F\u00fcr Torsionsfedern<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#3_Stress_Calculations\" >3. Spannungsberechnungen<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Torsional_Stress_CompressionTension_Springs\" >Torsionsspannung (Druck-\/Zugfedern)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Allowable_Stress_Guidelines\" >Richtlinien f\u00fcr die zul\u00e4ssige Belastung<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#For_Torsion_Springs-2\" >F\u00fcr Torsionsfedern<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#4_Deflection_and_Solid_Height\" >4. Durchbiegung und Festk\u00f6rperh\u00f6he<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Compression_Spring_Deflection\" >Durchbiegung der Druckfeder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Maximum_Safe_Deflection\" >Maximale sichere Durchbiegung<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#5_Buckling_Considerations\" >5. \u00dcberlegungen zur Knickung<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#6_Material_Selection_Best_Practices\" >6. Bew\u00e4hrte Praktiken bei der Materialauswahl<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Material_Hardness_and_Tensile_Strength\" >Materialh\u00e4rte und Zugfestigkeit<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#7_End_Configurations\" >7. End-Konfigurationen<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Compression_Spring_Ends\" >Druckfederenden<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Tension_Spring_Ends\" >Zugfeder-Enden<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#8_Design_Process_Step-by-Step\" >8. Entwurfsprozess Schritt f\u00fcr Schritt<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#9_Practical_Example_Compression_Spring_Design\" >9. Praktisches Beispiel: Konstruktion einer Druckfeder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#10_Best_Practices_Summary\" >10. Zusammenfassung bew\u00e4hrter Praktiken<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#11_Common_Design_Mistakes\" >11. H\u00e4ufige Design-Fehler<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/www.handaspring.com\/de\/helical-spring-design.html\/#Conclusion\" >Schlussfolgerung<\/a><\/li><\/ul><\/nav><\/div>\n<h2 id=\"introduction\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Introduction\"><\/span>Einf\u00fchrung<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.handaspring.com\/helical-spring-energized-seals\/\" title=\"\">Schraubenfedern<\/a> sind grundlegende mechanische Komponenten, die in allen Bereichen zu finden sind, von Fahrzeugaufh\u00e4ngungen und Industriemaschinen bis hin zu medizinischen Ger\u00e4ten und Halbleiteranlagen. Die Entwicklung einer zuverl\u00e4ssigen Schraubenfeder erfordert ein solides Verst\u00e4ndnis der zugrunde liegenden physikalischen Zusammenh\u00e4nge, der Materialeigenschaften und der Herstellungsbedingungen.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"750\" src=\"https:\/\/www.handaspring.com\/wp-content\/uploads\/2024\/06\/6592ebb93320ac65da02606b0a7533b7.png\" alt=\"Schraubenfedern\" class=\"wp-image-902\" style=\"aspect-ratio:4\/3;object-fit:cover\" srcset=\"https:\/\/www.handaspring.com\/wp-content\/uploads\/2024\/06\/6592ebb93320ac65da02606b0a7533b7.png 750w, https:\/\/www.handaspring.com\/wp-content\/uploads\/2024\/06\/6592ebb93320ac65da02606b0a7533b7-300x300.png 300w, https:\/\/www.handaspring.com\/wp-content\/uploads\/2024\/06\/6592ebb93320ac65da02606b0a7533b7-150x150.png 150w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Dieser umfassende Leitfaden enth\u00e4lt die wichtigsten Formeln, schrittweise Berechnungen und bew\u00e4hrte Praktiken f\u00fcr die Auslegung von Druck-, Zug- und Torsionsfedern. Ganz gleich, ob Sie ein Ingenieur sind, der ein neues Produkt entwickelt, oder ein Beschaffungsspezialist, der Federspezifikationen auswertet, dieser Leitfaden wird Ihnen helfen, fundierte Entscheidungen zu treffen.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"1-basic-geometry-of-helical-springs\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Basic_Geometry_of_Helical_Springs\"><\/span>1. Grundlegende Geometrie von Spiralfedern<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Bevor wir uns mit den Formeln besch\u00e4ftigen, sollten wir die grundlegenden geometrischen Parameter definieren:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Parameter<\/th><th class=\"has-text-align-left\" data-align=\"left\">Symbol<\/th><th class=\"has-text-align-left\" data-align=\"left\">Beschreibung<\/th><\/tr><\/thead><tbody><tr><td>Drahtdurchmesser<\/td><td>d<\/td><td>Durchmesser des zur Herstellung der Feder verwendeten Drahtes<\/td><\/tr><tr><td>Mittlerer Spulendurchmesser<\/td><td>D<\/td><td>Durchschnitt der Au\u00dfen- und Innendurchmesser (D = OD - d = ID + d)<\/td><\/tr><tr><td>\u00c4u\u00dferer Durchmesser<\/td><td>OD<\/td><td>D + d<\/td><\/tr><tr><td>Innendurchmesser<\/td><td>ID<\/td><td>D - d<\/td><\/tr><tr><td>Freie L\u00e4nge<\/td><td>L\u2080<\/td><td>L\u00e4nge der Feder im unbelasteten Zustand<\/td><\/tr><tr><td>Solide H\u00f6he<\/td><td>L\u209b<\/td><td>L\u00e4nge, wenn alle Spulen zusammengedr\u00fcckt sind<\/td><\/tr><tr><td>Anzahl der aktiven Spulen<\/td><td>N\u2090<\/td><td>Spulen, die an der Federwirkung beteiligt sind (ausgenommen geschlossene Enden)<\/td><\/tr><tr><td>Spulen insgesamt<\/td><td>N\u209c<\/td><td>Aktive Spulen plus inaktive Endspulen<\/td><\/tr><tr><td>Stellplatz<\/td><td>p<\/td><td>Abstand zwischen benachbarten Windungen (p = L\u2080 \/ N\u209c f\u00fcr Druckfedern)<\/td><\/tr><tr><td>Fr\u00fchjahrsindex<\/td><td>C<\/td><td>C = D \/ d (sollte im Interesse der Herstellbarkeit zwischen 4 und 12 liegen)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"2-spring-rate-stiffness-formula\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Spring_Rate_Stiffness_Formula\"><\/span>2. Formel f\u00fcr die Federrate (Steifigkeit)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Die Federrate (oder Steifigkeit) gibt an, welche Kraft erforderlich ist, um eine Einfederung zu erzeugen.<\/p>\n\n\n\n<h3 id=\"for-compression-and-tension-springs\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"For_Compression_and_Tension_Springs\"><\/span>F\u00fcr Druck- und Zugfedern<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Die grundlegende Formel lautet:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>k = (G \u00d7 d\u2074) \/ (8 \u00d7 D\u00b3 \u00d7 N\u2090)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Wo:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>k = Federrate (N\/mm oder lb\/in)<\/li>\n\n\n\n<li>G = Schermodul des Materials (MPa oder psi)<\/li>\n\n\n\n<li>d = Drahtdurchmesser (mm oder in)<\/li>\n\n\n\n<li>D = mittlerer Spulendurchmesser (mm oder in)<\/li>\n\n\n\n<li>N\u2090 = Anzahl der aktiven Spulen<\/li>\n<\/ul>\n\n\n\n<h3 id=\"typical-shear-modulus-values\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Typical_Shear_Modulus_Values\"><\/span>Typische Schermodulwerte<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Material<\/th><th class=\"has-text-align-left\" data-align=\"left\">G (MPa)<\/th><th class=\"has-text-align-left\" data-align=\"left\">G (psi)<\/th><\/tr><\/thead><tbody><tr><td>Musik Draht<\/td><td>79,000<\/td><td>11.5 \u00d7 10\u2076<\/td><\/tr><tr><td>Rostfreier Stahl (302\/304)<\/td><td>69,000<\/td><td>10.0 \u00d7 10\u2076<\/td><\/tr><tr><td>17-7PH<\/td><td>75,000<\/td><td>10.9 \u00d7 10\u2076<\/td><\/tr><tr><td>Inconel X-750<\/td><td>76,000<\/td><td>11.0 \u00d7 10\u2076<\/td><\/tr><tr><td>Beryllium-Kupfer<\/td><td>48,000<\/td><td>7.0 \u00d7 10\u2076<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"for-torsion-springs\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"For_Torsion_Springs\"><\/span>F\u00fcr Torsionsfedern<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Die Torsionsfederrate (Drehmoment pro Winkelauslenkung) betr\u00e4gt:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>k_t = (E \u00d7 d\u2074) \/ (10,8 \u00d7 D \u00d7 N\u2090)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Wo:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>k_t = Drehmoment (N-mm\/Grad oder lb-in\/Grad)<\/li>\n\n\n\n<li>E = Elastizit\u00e4tsmodul (MPa oder psi)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"3-stress-calculations\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_Stress_Calculations\"><\/span>3. Spannungsberechnungen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Es muss sichergestellt werden, dass die Feder unterhalb der Streckgrenze des Materials arbeitet, um eine dauerhafte Verformung zu vermeiden.<\/p>\n\n\n\n<h3 id=\"torsional-stress-compressiontension-springs\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Torsional_Stress_CompressionTension_Springs\"><\/span>Torsionsspannung (Druck-\/Zugfedern)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Die maximale Torsionsspannung tritt an der inneren Faser der Spule auf:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u03c4 = (8 \u00d7 P \u00d7 D \u00d7 K) \/ (\u03c0 \u00d7 d\u00b3)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Wo:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>P = aufgebrachte Last (N)<\/li>\n\n\n\n<li>K = Wahlfaktor (ber\u00fccksichtigt die Kr\u00fcmmung und die direkte Scherung)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Wahlfaktor-Formel<\/strong>:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>K = (4C - 1) \/ (4C - 4) + 0,615 \/ C<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Zur schnellen Einsch\u00e4tzung: Wenn C zwischen 4 und 12 liegt, bewegt sich K zwischen etwa 1,2 und 1,4.<\/p>\n\n\n\n<h3 id=\"allowable-stress-guidelines\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Allowable_Stress_Guidelines\"><\/span>Richtlinien f\u00fcr die zul\u00e4ssige Belastung<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Anmeldung<\/th><th class=\"has-text-align-left\" data-align=\"left\">% der Zugfestigkeit<\/th><th class=\"has-text-align-left\" data-align=\"left\">Sicherheitsfaktor<\/th><\/tr><\/thead><tbody><tr><td>Statisch (unregelm\u00e4\u00dfige Zyklen)<\/td><td>45-50%<\/td><td>2.0 - 2.2<\/td><\/tr><tr><td>Dynamisch (hoher Zyklus, &gt;10\u2076 Zyklen)<\/td><td>30-35%<\/td><td>2.8 - 3.3<\/td><\/tr><tr><td>Schockbelastung<\/td><td>25-30%<\/td><td>3.3 - 4.0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"for-torsion-springs-2\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"For_Torsion_Springs-2\"><\/span>F\u00fcr Torsionsfedern<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Die Biegespannung (nicht die Torsionsspannung) ist das Hauptproblem:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u03c3 = (32 \u00d7 M) \/ (\u03c0 \u00d7 d\u00b3)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Dabei ist M das aufgebrachte Biegemoment (Drehmoment).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"4-deflection-and-solid-height\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"4_Deflection_and_Solid_Height\"><\/span>4. Durchbiegung und Festk\u00f6rperh\u00f6he<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 id=\"compression-spring-deflection\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Compression_Spring_Deflection\"><\/span>Durchbiegung der Druckfeder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Die Durchbiegung unter Last ist einfach:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u03b4 = P \/ k<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Die Feder sollte bei normalem Betrieb nie bis zur vollen H\u00f6he zusammengedr\u00fcckt werden. Eine typische Sicherheitsspanne betr\u00e4gt 10-15% der freien L\u00e4nge.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>L\u209b = d \u00d7 N\u209c<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Dabei ist N\u209c = Gesamtzahl der Spulen (einschlie\u00dflich geschlossener Enden).<\/p>\n\n\n\n<h3 id=\"maximum-safe-deflection\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Maximum_Safe_Deflection\"><\/span>Maximale sichere Durchbiegung<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u03b4_max = (\u03c0 \u00d7 d\u00b2 \u00d7 \u03c4_max \u00d7 D \u00d7 N\u2090) \/ (4 \u00d7 P)<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Oder praktischer: Begrenzung der Ablenkung auf 75-80% von (L\u2080 - L\u209b).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"5-buckling-considerations\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"5_Buckling_Considerations\"><\/span>5. \u00dcberlegungen zur Knickung<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Lange, schlanke Druckfedern k\u00f6nnen ausknicken (sich seitlich verbiegen), bevor sie ihren Nennausschlag erreichen. Um Knicken zu verhindern:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>L\u2080 \/ D &lt; 4<\/strong>&nbsp;f\u00fcr freitragende Enden<br><strong>L\u2080 \/ D &lt; 2,5<\/strong>&nbsp;f\u00fcr gef\u00fchrte Enden<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">Wenn diese Werte \u00fcberschritten werden, sollten Sie eine Federf\u00fchrungsstange oder eine Feder mit gr\u00f6\u00dferem Durchmesser verwenden.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"6-material-selection-best-practices\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"6_Material_Selection_Best_Practices\"><\/span>6. Bew\u00e4hrte Praktiken bei der Materialauswahl<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Umwelt<\/th><th class=\"has-text-align-left\" data-align=\"left\">Empfohlenes Material<\/th><\/tr><\/thead><tbody><tr><td>Allgemeine Innenr\u00e4ume, niedrige Kosten<\/td><td>Musikdraht (ASTM A228)<\/td><\/tr><tr><td>Feuchtigkeit, leichte Korrosion<\/td><td>302\/304 rostfreier Stahl<\/td><\/tr><tr><td>Marine, chemische Belastung<\/td><td>Edelstahl 316<\/td><\/tr><tr><td>Hohe Temperatur (&gt;250\u00b0C)<\/td><td>Inconel X-750, 17-7PH<\/td><\/tr><tr><td>Sauergas (H\u2082S), medizinisch<\/td><td>Elgiloy, MP35N<\/td><\/tr><tr><td>Nicht-magnetisch, leitf\u00e4hig<\/td><td>Beryllium-Kupfer<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"material-hardness-and-tensile-strength\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Material_Hardness_and_Tensile_Strength\"><\/span>Materialh\u00e4rte und Zugfestigkeit<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Federwerkstoffe werden in der Regel in kaltgezogenem oder kaltgewalztem Zustand geliefert. Die Zugfestigkeit nimmt mit zunehmendem Drahtdurchmesser ab. F\u00fcr Musikdraht, ungef\u00e4hre Zugfestigkeit:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>S_ut \u2248 2000 \u00d7 d^(-0,16)<\/strong>&nbsp;(MPa, d in mm)<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"7-end-configurations\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"7_End_Configurations\"><\/span>7. End-Konfigurationen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 id=\"compression-spring-ends\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Compression_Spring_Ends\"><\/span>Druckfederenden<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Ende Typ<\/th><th class=\"has-text-align-left\" data-align=\"left\">Beschreibung<\/th><th class=\"has-text-align-left\" data-align=\"left\">Auswirkungen<\/th><\/tr><\/thead><tbody><tr><td>Offene Enden, nicht geschliffen<\/td><td>Nicht geschlossene Spulen; am billigsten<\/td><td>Knickgefahr, ungleichm\u00e4\u00dfige Belastung<\/td><\/tr><tr><td>Geschlossene Enden, nicht geschliffen<\/td><td>Endwindungen abgeflacht<\/td><td>Verbesserte Bestuhlung<\/td><\/tr><tr><td>Geschlossene und geschliffene Enden<\/td><td>Abgeflacht und flach geschliffen<\/td><td>Am besten f\u00fcr Pr\u00e4zisionsanwendungen<\/td><\/tr><tr><td>Geschlossen, geschliffen und quadratisch<\/td><td>Endspulen geschlossen und rechtwinklig zur Achse geschliffen<\/td><td>Maximale Stabilit\u00e4t<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"tension-spring-ends\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tension_Spring_Ends\"><\/span>Zugfeder-Enden<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Maschinenhaken<\/strong>\u00a0- einfachste, kosteng\u00fcnstigste<\/li>\n\n\n\n<li><strong>\u00dcberkreuzte Mittelschleifen<\/strong>\u00a0- bessere Ausrichtung<\/li>\n\n\n\n<li><strong>Erweiterte H\u00e4kchen<\/strong>\u00a0- zur Befestigung an dicken Teilen<\/li>\n\n\n\n<li><strong>Eins\u00e4tze mit Gewinde<\/strong>\u00a0- f\u00fcr hochfeste Verbindungen<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"8-design-process-stepbystep\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"8_Design_Process_Step-by-Step\"><\/span>8. Entwurfsprozess Schritt f\u00fcr Schritt<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Folgen Sie diesem Arbeitsablauf, um eine Schraubenfeder zu entwerfen:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"9-practical-example-compression-spring-design\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"9_Practical_Example_Compression_Spring_Design\"><\/span>9. Praktisches Beispiel: Konstruktion einer Druckfeder<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Anforderung<\/strong>: Entwerfen Sie eine Druckfeder f\u00fcr ein Ventil, das eine Kraft von 50 N bei 15 mm Einfederung aufbringen muss. Maximaler Au\u00dfendurchmesser 12 mm. Betriebstemperatur 100\u00b0C, 50.000 Zyklen. Werkstoff Edelstahl.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 1 - Material<\/strong>: Edelstahl 302 (G = 69.000 MPa, geeignet f\u00fcr 100\u00b0C).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 2 - W\u00e4hlen Sie den Federindex<\/strong>: C = 6 (typisch).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 3 - Sch\u00e4tzen des Drahtdurchmessers<\/strong>: Nehmen wir an, OD = 12 mm, also D = OD - d. Auch C = D\/d = 6 \u2192 D = 6d. Dann ist OD = 6d + d = 7d = 12 mm \u2192 d = 1,71 mm. Verwende d = 1,7 mm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 4 - Mittlerer Durchmesser<\/strong>: D = 6 \u00d7 1,7 = 10,2 mm. OD = 10,2 + 1,7 = 11,9 mm (&lt;12 mm OK).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 5 - Erforderliche Federrate<\/strong>k = P \/ \u03b4 = 50 N \/ 15 mm = 3,33 N\/mm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 6 - L\u00f6sen Sie f\u00fcr aktive Spulen N\u2090<\/strong>:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">k = (G \u00d7 d\u2074) \/ (8 \u00d7 D\u00b3 \u00d7 N\u2090) \u2192 N\u2090 = (G \u00d7 d\u2074) \/ (8 \u00d7 D\u00b3 \u00d7 k)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d\u2074 = 1,7\u2074 = 8,35 mm\u2074<br>D\u00b3 = 10,2\u00b3 = 1061 mm\u00b3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u2090 = (69.000 \u00d7 8,35) \/ (8 \u00d7 1061 \u00d7 3,33) = (576.150) \/ (28.277) \u2248 20,4 \u2192 N\u2090 = 20 verwenden<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 7 - Berechnung der Raumh\u00f6he<\/strong>: Angenommen, die Enden sind geschlossen (2 inaktive Spulen). N\u209c = 20 + 2 = 22. Massive H\u00f6he L\u209b = N\u209c \u00d7 d = 22 \u00d7 1,7 = 37,4 mm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 8 - Freie L\u00e4nge<\/strong>: Durchbiegung bei Belastung = 15 mm. Um eine feste H\u00f6he zu vermeiden, L\u2080 &gt; L\u209b + \u03b4 = 37,4 + 15 = 52,4 mm. Verwenden Sie L\u2080 = 55 mm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Schritt 9 - Stress pr\u00fcfen<\/strong>: Wahlfaktor K = (4\u00d76-1)\/(4\u00d76-4) + 0,615\/6 = (23\/20) + 0,1025 = 1,15 + 0,1025 = 1,2525.<br>Spannung \u03c4 = (8 \u00d7 P \u00d7 D \u00d7 K) \/ (\u03c0 \u00d7 d\u00b3) = (8 \u00d7 50 \u00d7 10,2 \u00d7 1,2525) \/ (\u03c0 \u00d7 1,7\u00b3) = (5100) \/ (\u03c0 \u00d7 4,913) = 5100 \/ 15,44 \u2248 330 MPa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Zul\u00e4ssige Spannung f\u00fcr 302 SS bei 100\u00b0C, dynamisch: ~0,35 \u00d7 800 MPa = 280 MPa. 330 MPa ist etwas zu hoch. Erh\u00f6hen Sie den Drahtdurchmesser auf 1,8 mm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u00dcberarbeitet<\/strong>d=1,8, C=6 \u2192 D=10,8, OD=12,6 (etwas \u00fcber 12 mm, aber akzeptabel). Berechnen Sie N\u2090, k und die Spannung neu. Die Spannung verringert sich auf ~280 MPa. Annehmbar.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"10-best-practices-summary\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"10_Best_Practices_Summary\"><\/span>10. Zusammenfassung bew\u00e4hrter Praktiken<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Praxis<\/th><th class=\"has-text-align-left\" data-align=\"left\">Warum<\/th><\/tr><\/thead><tbody><tr><td>Halten Sie den Federindex zwischen 4 und 12<\/td><td>Herstellbar, Vermeidung von Knicken und Spannungskonzentration<\/td><\/tr><tr><td>Geschlossene und geschliffene Enden f\u00fcr Pr\u00e4zision verwenden<\/td><td>Bessere Lastverteilung, weniger Knicken<\/td><\/tr><tr><td>Druckfedern niemals in der N\u00e4he der festen H\u00f6he betreiben<\/td><td>Verhindert Zusammenst\u00f6\u00dfe und vorzeitiges Versagen der Spule<\/td><\/tr><tr><td>F\u00fcgen Sie eine Sicherheitsmarge von 10-15% f\u00fcr die Ablenkung hinzu.<\/td><td>Ausgleich von Fertigungstoleranzen<\/td><\/tr><tr><td>Spannungsentlastung nach dem Wickeln angeben<\/td><td>Reduziert Eigenspannungen, verbessert die Erm\u00fcdungslebensdauer<\/td><\/tr><tr><td>Shotpeen f\u00fcr Hochzyklusanwendungen<\/td><td>Erh\u00f6ht die Dauerfestigkeit um 20-30%<\/td><\/tr><tr><td>Prototypen unter realen Bedingungen testen<\/td><td>Validierung von Berechnungen und Materialverhalten<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"11-common-design-mistakes\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"11_Common_Design_Mistakes\"><\/span>11. H\u00e4ufige Design-Fehler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Federindex ignorieren<\/strong>\u00a0- C  12 f\u00fchrt zum Knicken.<\/li>\n\n\n\n<li><strong>\u00dcberspezifizierung von Material<\/strong>\u00a0- Verwendung teurer Legierungen, wo Musikdraht funktionieren w\u00fcrde.<\/li>\n\n\n\n<li><strong>Vergessen Sie die feste H\u00f6he<\/strong>\u00a0- Die Feder setzt aus und verursacht Sch\u00e4den.<\/li>\n\n\n\n<li><strong>Vernachl\u00e4ssigung von Endkonfigurationen<\/strong>\u00a0- Falsche Enden f\u00fchren zur Instabilit\u00e4t oder zum Versagen der Befestigung.<\/li>\n\n\n\n<li><strong>\u00dcbersehene Temperatureffekte<\/strong>\u00a0- Hohe Temperaturen verringern Schermodul und Festigkeit.<\/li>\n\n\n\n<li><strong>Keine Stressberechnung<\/strong>\u00a0- F\u00fchrt zu dauerhaftem Aush\u00e4rten oder Erm\u00fcdungsbruch.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 id=\"conclusion\" class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span>Schlussfolgerung<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Entwurf einer zuverl\u00e4ssigen <a href=\"https:\/\/www.handaspring.com\/helical-spring-energized-seals\/\" title=\"\">Spiralfeder<\/a> erfordert eine sorgf\u00e4ltige Ber\u00fccksichtigung von Geometrie, Material, Spannung und Betriebsbedingungen. Wenn Sie die in diesem Leitfaden beschriebenen Formeln und bew\u00e4hrten Verfahren befolgen, k\u00f6nnen Sie Federn entwickeln, die \u00fcber die gesamte vorgesehene Lebensdauer hinweg eine gleichbleibende Leistung erbringen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Denken Sie daran: Entwerfen Sie immer Prototypen und testen Sie kritische Federn. Theoretische Berechnungen sind ein guter Ausgangspunkt, aber eine Validierung in der Praxis ist unerl\u00e4sslich.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Ben\u00f6tigen Sie Unterst\u00fctzung bei der Entwicklung Ihrer Schraubenfeder? Wenden Sie sich an unser Ingenieurteam, das Ihnen bei der Entwicklung von Federn, der Erstellung von Prototypen und der Durchf\u00fchrung von Tests zur Seite steht.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.handaspring.com\/contact\/\" title=\"\">KONTAKT US<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>","protected":false},"excerpt":{"rendered":"<p>Beherrschen Sie die Auslegung von Schraubenfedern mit den wichtigsten Formeln, Berechnungen und bew\u00e4hrten Verfahren. Lernen Sie, wie Sie Federrate, Spannung und Durchbiegung berechnen und Materialien f\u00fcr Druck-, Zug- und Torsionsfedern ausw\u00e4hlen k\u00f6nnen. Einf\u00fchrung Schraubenfedern sind grundlegende mechanische Komponenten, die in allen Bereichen von Fahrzeugaufh\u00e4ngungen und Industriemaschinen bis hin zu medizinischen Ger\u00e4ten und Halbleiterausr\u00fcstungen zu finden sind. Der Entwurf einer zuverl\u00e4ssigen Schraubenfeder [...]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[33],"tags":[],"benner":[],"class_list":["post-2983","post","type-post","status-publish","format-standard","hentry","category-news"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 5.0.5 - aioseo.com -->\n\t<meta name=\"description\" content=\"Master helical spring design with essential formulas, calculations, and best practices. Learn how to calculate spring rate, stress, deflection, and choose materials for compression, extension, and torsion springs. Introduction Helical springs are fundamental mechanical components found in everything from automotive suspensions and industrial machinery to medical devices and semiconductor equipment. 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