{"id":8736,"date":"2024-08-18T11:37:35","date_gmt":"2024-08-18T09:37:35","guid":{"rendered":"https:\/\/blog.federnshop.com\/oblicz-stala-sprezystosci\/"},"modified":"2024-08-19T10:43:51","modified_gmt":"2024-08-19T08:43:51","slug":"oblicz-stala-sprezystosci","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/pl\/oblicz-stala-sprezystosci\/","title":{"rendered":"Oblicz sta\u0142\u0105 spr\u0119\u017cysto\u015bci"},"content":{"rendered":"<p>Sta\u0142a spr\u0119\u017cysto\u015bci opisuje przy<a href=\"https:\/\/blog.federnshop.com\/druckfedern\/\"> Spr\u0119\u017cyny dociskowe<\/a> ,<a href=\"https:\/\/blog.federnshop.com\/zugfedern\/\"> Spr\u0119\u017cyny naci\u0105gowe<\/a> oraz<a href=\"https:\/\/blog.federnshop.com\/schenkelfedern-torsionsfedern\/\"> Spr\u0119\u017cyny skr\u0119tnych<\/a> wzrost si\u0142y w stosunku do<a href=\"https:\/\/blog.federnshop.com\/federarbeit\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Skok zawieszenia<\/a> , lub ze spr\u0119\u017cynami skr\u0119tnymi w stosunku do k\u0105ta obrotu. Jest r\u00f3wnie\u017c nazywany<a href=\"https:\/\/blog.federnshop.com\/federrate-berechnen\/\"> Wiosenna stawka<\/a> , Twardo\u015b\u0107 spr\u0119\u017cyny lub sztywno\u015b\u0107 spr\u0119\u017cyny i okre\u015bla twardo\u015b\u0107 spr\u0119\u017cyny. Z<a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\"> Charakterystyka spr\u0119\u017cyny<\/a> pokazany jest przebieg sta\u0142ej spr\u0119\u017cysto\u015bci. Czy sta\u0142a spr\u0119\u017cyny jest liniowa, tj<a href=\"https:\/\/blog.federnshop.com\/federkraft-berechnen\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Si\u0142a spr\u0119\u017cyny<\/a> wzrasta r\u00f3wnomiernie wraz z obci\u0105\u017ceniem spr\u0119\u017cyny, w\u00f3wczas charakterystyka spr\u0119\u017cyny jest prosta (b.). Je\u017celi natomiast si\u0142a spr\u0119\u017cyny wzrasta nieproporcjonalnie lub nieproporcjonalnie wraz ze wzrostem obci\u0105\u017cenia, to m\u00f3wimy o progresywnej (a.) lub degresywnej (c.) charakterystyce spr\u0119\u017cyny. Sta\u0142a spr\u0119\u017cyny dla spr\u0119\u017cyn naciskowych i spr\u0119\u017cyn naci\u0105gowych jest okre\u015blona w jednostkach Newton\/milimetr, a dla spr\u0119\u017cyn skr\u0119tnych jako wsp\u00f3\u0142czynnik momentu obrotowego spr\u0119\u017cyny w Newtonach.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_5403\" aria-describedby=\"caption-attachment-5403\" style=\"width: 600px\" class=\"wp-caption alignnone\"><a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1733 size-full\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkennlinien_600px.jpg\" alt=\"Charakterystyka spr\u0119\u017cyny\" width=\"600\" height=\"352\" data-wp-pid=\"1733\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkennlinien_600px.jpg 600w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkennlinien_600px-300x176.jpg 300w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Federkennlinien_600px-200x117.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><figcaption id=\"caption-attachment-5403\" class=\"wp-caption-text\">Charakterystyka spr\u0119\u017cyny<\/figcaption><\/figure>\n<p>Dlatego dla sta\u0142ej spr\u0119\u017cysto\u015bci z prost\u0105 charakterystyk\u0105 spr\u0119\u017cysto\u015bci obowi\u0105zuje nast\u0119puj\u0105ca zasada:<\/p>\n<p>Spr\u0119\u017cyny naciskowe i naci\u0105gowe<\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">R = \\frac{F2-F1}{s2-s1}<\/span><\/strong><\/p>\n<p>Schenkelfedern<\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">R = \\frac{M2-M1}{\\alpha2-\\alpha1}<\/span><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Wzory do obliczania sta\u0142ej spr\u0119\u017cyny dla spr\u0119\u017cyn naciskowych, naci\u0105gowych i skr\u0119tnych:<\/strong><\/p>\n<p>Formu\u0142a spr\u0119\u017cyny dociskowej o sta\u0142ej spr\u0119\u017cynie (N \/ mm) (<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Druckfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Spr\u0119\u017cyny naciskowe z kolekcji Formula<\/a> )<\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{Gd^{4}}{8D^{3}n}<\/span><\/strong><\/p>\n<p>Formu\u0142a spr\u0119\u017cyny o sta\u0142ym naci\u0105gu (N\/mm) (<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Zugfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Spr\u0119\u017cyny naci\u0105gowe z kolekcji Formula<\/a> )<\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">R=\\frac{Gd^{4}}{8D^{3}n}=\\frac{F-F0}{s}<\/span><\/strong><\/p>\n<p>Wz\u00f3r spr\u0119\u017cyny o wsp\u00f3\u0142czynniku momentu obrotowego spr\u0119\u017cyny n\u00f3g (Nmm) (<a href=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Gutekunst_Schenkelfedern_Formeln_2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"> Kolekcja formu\u0142 ze spr\u0119\u017cynami na nogi<\/a> )<\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">R_{M}=\\frac{M}{\\alpha}=\\frac{d^{4}E}{3667Dn}<\/span><\/strong><\/p>\n<p><em>Wyja\u015bnienie formu\u0142y:<\/em><br \/>\n\u03b1 = k\u0105t obrotu (\u00b0)<br \/>\nd = \u015brednica drutu (mm)<br \/>\nD = \u015brednia \u015brednica cewki (mm)<br \/>\nE = modu\u0142 spr\u0119\u017cysto\u015bci (N \/ mm\u00b2) (<a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Modu\u0142 E r\u00f3\u017cnych stali spr\u0119\u017cynowych<\/a> )<br \/>\nF = si\u0142a spr\u0119\u017cyny (N)<br \/>\nG = modu\u0142 \u015blizgu i \u015bcinania (N \/ mm\u00b2) (<a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Modu\u0142 G wykonany z r\u00f3\u017cnych stali spr\u0119\u017cynowych<\/a> )<br \/>\nF0 = wewn\u0119trzna si\u0142a napi\u0119cia wst\u0119pnego<br \/>\nM = moment obrotowy (Nmm)<br \/>\nn = liczba spr\u0119\u017cystych zwoj\u00f3w (sztuk)<br \/>\nR = sta\u0142a spr\u0119\u017cyny (N \/ mm)<br \/>\nRM = wsp\u00f3\u0142czynnik momentu obrotowego spr\u0119\u017cyny (Nmm)<br \/>\ns = skok spr\u0119\u017cyny (mm)<\/p>\n<figure id=\"attachment_8742\" aria-describedby=\"caption-attachment-8742\" style=\"width: 236px\" class=\"wp-caption alignright\"><a href=\"https:\/\/de.wikipedia.org\/wiki\/Federkonstante\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2213 size-medium\" src=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/\/Zugversuch_Federn-236x300.jpg\" alt=\"Spr\u0119\u017cyny metalowe do pr\u00f3by rozci\u0105gania - \u00a9 Von Menner - Wikipedia\" width=\"236\" height=\"300\" data-wp-pid=\"2213\" srcset=\"https:\/\/blog.federnshop.com\/wp-content\/uploads\/Zugversuch_Federn-236x300.jpg 236w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Zugversuch_Federn.jpg 600w, https:\/\/blog.federnshop.com\/wp-content\/uploads\/Zugversuch_Federn-157x200.jpg 157w\" sizes=\"auto, (max-width: 236px) 100vw, 236px\" \/><\/a><figcaption id=\"caption-attachment-8742\" class=\"wp-caption-text\">Pr\u00f3ba rozci\u0105gania &#8211; \u00a9 Von Menner &#8211; Wikipedia<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>Sta\u0142\u0105 spr\u0119\u017cysto\u015bci mo\u017cna r\u00f3wnie\u017c okre\u015bli\u0107 za pomoc\u0105 pr\u00f3by rozci\u0105gania. Spr\u0119\u017cyna jest rozrywana si\u0142\u0105 (F) i ugi\u0119ciem spr\u0119\u017cyny \/<a href=\"https:\/\/blog.federnshop.com\/federarbeit\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Wiosenna praca<\/a> (s2) zmierzone. Daje to sta\u0142\u0105 spr\u0119\u017cysto\u015bci w niutonach\/milimetr.<\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">R = \\frac{F}{s}<\/span><\/strong><\/p>\n<p>Jednak ta pr\u00f3ba rozci\u0105gania powinna by\u0107 wykonana z r\u00f3\u017cnymi si\u0142ami, aby uzyska\u0107 dok\u0142adny wynik pomiaru.<\/p>\n<p>&nbsp;<\/p>\n<p><em>Dalsza informacja<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/www.federnshop.com\/de\/federberechnung-auswahl.html\" target=\"_blank\" rel=\"noopener noreferrer\">Program do obliczania spr\u0119\u017cyn Gutekunst WinFSB<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federkraft-berechnen\/\" target=\"_blank\" rel=\"noopener noreferrer\">Oblicz si\u0142\u0119 spr\u0119\u017cyny<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federarbeit\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wiosenna praca<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federstahl\/\" target=\"_blank\" rel=\"noopener noreferrer\">W\u0142a\u015bciwo\u015bci stali spr\u0119\u017cynowej<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/blog.federnshop.com\/federkennlinie\/\" target=\"_blank\" rel=\"noopener noreferrer\">Charakterystyka wiosny<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Sta\u0142a spr\u0119\u017cysto\u015bci opisuje przy Spr\u0119\u017cyny dociskowe , Spr\u0119\u017cyny naci\u0105gowe oraz Spr\u0119\u017cyny skr\u0119tnych wzrost si\u0142y w stosunku do Skok zawieszenia , lub ze spr\u0119\u017cynami skr\u0119tnymi w stosunku do k\u0105ta obrotu. Jest r\u00f3wnie\u017c nazywany Wiosenna stawka , Twardo\u015b\u0107 spr\u0119\u017cyny lub sztywno\u015b\u0107 spr\u0119\u017cyny<\/p>\n","protected":false},"author":4,"featured_media":8742,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[931,932,488],"tags":[2267,647,587,2272,2270,2268,2269,1428,2273,2271,2274,1427,2266],"class_list":["post-8736","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sprezyny-druciane","category-sprezyny-naciskowe","category-wiedza","tag-cialo-sprezyny","tag-federkonstante-pl","tag-festigkeitsnachweis-pl","tag-moment-sprezyny-skretnej","tag-oblicz-stala-sprezystosci","tag-oblicz-wspolczynnik-sprezystosci","tag-okresl-sztywnosc-sprezyny","tag-prawo-hookea","tag-sprezyna-dociskowa-ze-stala-sprezyna","tag-sprezyna-naciskowa-sprezyny","tag-sprezyna-podrozy","tag-wiosenna-stawka","tag-wspolczynnik-momentu-obrotowego-sprezyny"],"_links":{"self":[{"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/posts\/8736","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/comments?post=8736"}],"version-history":[{"count":5,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/posts\/8736\/revisions"}],"predecessor-version":[{"id":11500,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/posts\/8736\/revisions\/11500"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/media\/8742"}],"wp:attachment":[{"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/media?parent=8736"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/categories?post=8736"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.federnshop.com\/pl\/wp-json\/wp\/v2\/tags?post=8736"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}