{"id":5766,"date":"2024-02-28T22:28:37","date_gmt":"2024-02-28T20:28:37","guid":{"rendered":"https:\/\/info.formfedern.com\/vypocet-listove-pruziny\/"},"modified":"2024-05-06T12:47:48","modified_gmt":"2024-05-06T10:47:48","slug":"vypocet-listove-pruziny","status":"publish","type":"post","link":"https:\/\/info.formfedern.com\/cs\/vypocet-listove-pruziny\/","title":{"rendered":"V\u00fdpo\u010det listov\u00e9 pru\u017einy"},"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>Kdy\u017e je listov\u00e1 pru\u017eina nebo ploch\u00e1 pru\u017eina upnuta na jedn\u00e9 stran\u011b, lze maxim\u00e1ln\u00ed nap\u011bt\u00ed v ohybu, s\u00edlu pru\u017einy, pr\u016fhyb pru\u017einy (pr\u016fhyb), tlou\u0161\u0165ku listu pru\u017einy a rychlost pru\u017einy vypo\u010d\u00edtat n\u00e1sledovn\u011b. Nap\u011bt\u00ed v ohybu se line\u00e1rn\u011b zvy\u0161uje s listovou pru\u017einou nebo plochou pru\u017einou upnutou na jedn\u00e9 stran\u011b se zv\u00fd\u0161en\u00edm s\u00edly v m\u00edst\u011b p\u016fsoben\u00ed s\u00edly. S obd\u00e9ln\u00edkovou listovou pru\u017einou (varianta a) nejvy\u0161\u0161\u00ed nap\u011bt\u00ed v ohybu, ale pouze v m\u00edst\u011b upnut\u00ed. Obd\u00e9ln\u00edkov\u00e1 listov\u00e1 pru\u017eina tedy pln\u011b vyu\u017e\u00edv\u00e1 sv\u00e9 v\u00fdhody pouze v m\u00edst\u011b sev\u0159en\u00ed. Naproti tomu lichob\u011b\u017en\u00edkov\u00e1 listov\u00e1 pru\u017eina (varianta b) rovnom\u011brn\u011bj\u0161\u00ed ohybov\u00e9 nap\u011bt\u00ed v pr\u016f\u0159ezu. V\u00fdsledkem je, \u017ee pru\u017einov\u00e1 pr\u00e1ce lichob\u011b\u017en\u00edkov\u00e9 listov\u00e9 pru\u017einy je a\u017e t\u0159ikr\u00e1t lep\u0161\u00ed ne\u017e u obd\u00e9ln\u00edkov\u00e9 listov\u00e9 pru\u017einy, v z\u00e1vislosti na velikosti lichob\u011b\u017en\u00edku. Ide\u00e1ln\u00ed by byl troj\u00faheln\u00edkov\u00fd tvar, ale vzhledem k designu jej lze pou\u017e\u00edt jen z\u0159\u00eddka.<\/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\/cs\/vypocet-listove-pruziny\/#Vzorce\" >Vzorce:<\/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\/cs\/vypocet-listove-pruziny\/#Maximalni_napeti_v_ohybu\" >Maxim\u00e1ln\u00ed nap\u011bt\u00ed v ohybu<\/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\/cs\/vypocet-listove-pruziny\/#Maximalni_sila_pruziny\" >Maxim\u00e1ln\u00ed s\u00edla pru\u017einy<\/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\/cs\/vypocet-listove-pruziny\/#Pojezd_pruziny_pruhyb\" >Pojezd pru\u017einy (pr\u016fhyb)<\/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\/cs\/vypocet-listove-pruziny\/#Maximalni_pruhyb_pruziny_pruhyb\" >Maxim\u00e1ln\u00ed pr\u016fhyb pru\u017einy (pr\u016fhyb)<\/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\/cs\/vypocet-listove-pruziny\/#Maximalni_tloustka_listu_pruziny\" >Maxim\u00e1ln\u00ed tlou\u0161\u0165ka listu pru\u017einy<\/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\/cs\/vypocet-listove-pruziny\/#Federrate\" >Federrate<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Vzorce\"><\/span><span style=\"text-decoration: underline;\">Vzorce:<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h2><span class=\"ez-toc-section\" id=\"Maximalni_napeti_v_ohybu\"><\/span>Maxim\u00e1ln\u00ed nap\u011bt\u00ed v ohybu<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=\"Maximalni_sila_pruziny\"><\/span>Maxim\u00e1ln\u00ed s\u00edla pru\u017einy<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=\"Pojezd_pruziny_pruhyb\"><\/span>Pojezd pru\u017einy (pr\u016fhyb)<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> pro obd\u00e9ln\u00edkovou listovou pru\u017einu (varianta 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> pro lichob\u011b\u017en\u00edkovou listovou pru\u017einu (varianta 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=\"Maximalni_pruhyb_pruziny_pruhyb\"><\/span>Maxim\u00e1ln\u00ed pr\u016fhyb pru\u017einy (pr\u016fhyb)<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=\"Maximalni_tloustka_listu_pruziny\"><\/span>Maxim\u00e1ln\u00ed tlou\u0161\u0165ka listu pru\u017einy<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> pro obd\u00e9ln\u00edkovou listovou pru\u017einu (varianta 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> pro lichob\u011b\u017en\u00edkovou listovou pru\u017einu (varianta 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=\"Federrate\"><\/span>Federrate<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 = \u0161\u00ed\u0159ka listov\u00e9 pru\u017einy (mm)<\/p>\n<p>b2 = men\u0161\u00ed \u0161\u00ed\u0159ka lichob\u011b\u017en\u00edkov\u00e9 listov\u00e9 pru\u017einy (mm)<\/p>\n<p>E = modul pru\u017enosti<\/p>\n<p>F = s\u00edla pru\u017einy (N)<\/p>\n<p>h = tlou\u0161\u0165ka materi\u00e1lu pru\u017einov\u00e1 deska \/ list pru\u017einy (mm)<\/p>\n<p>L = d\u00e9lka listov\u00e9 pru\u017einy (mm)<\/p>\n<p>s = zdvih pru\u017einy (mm)<\/p>\n<p>&nbsp;<\/p>\n<p>Gutekunst Formfedern vyv\u00edj\u00ed a vyr\u00e1b\u00ed jednotliv\u00e9 produkty<a href=\"https:\/\/info.formfedern.com\/cs\/tvarove-pruziny-listove-pruziny-a-ploche-pruziny\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Listov\u00e9 pru\u017einy<\/a> ,<a href=\"https:\/\/info.formfedern.com\/cs\/ploche-pruziny\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Ploch\u00e9 pru\u017einy<\/a> a<a href=\"https:\/\/info.formfedern.com\/cs\/tvarove-pruziny-listove-pruziny-a-ploche-pruziny\/\"> Tvarov\u00e9 pru\u017einy<\/a> jako vzorky, prototypy, v<a href=\"https:\/\/info.formfedern.com\/stanzteile-kleinserien\/\"> Mal\u00e1 mno\u017estv\u00ed<\/a> a velk\u00e9 s\u00e9rie. Pokud m\u00e1te z\u00e1jem, jednodu\u0161e n\u00e1m za\u0161lete pod n\u00e1sleduj\u00edc\u00ed<a href=\"https:\/\/info.formfedern.com\/formfedern-anfrage\/\" target=\"_blank\" rel=\"noopener noreferrer\"> Tla\u010d\u00edtko popt\u00e1vky<\/a> nebo prost\u0159ednictv\u00edm e-mailu<a href=\"mailto:info@gutekunst-formfedern.de\"> info@gutekunst-formfedern.de<\/a> data po\u017eadovan\u00e9 tvarovan\u00e9 pru\u017einy s podrobnostmi o po\u010dtu kus\u016f a v\u00fdkresu nebo CAD data. V kr\u00e1tk\u00e9 dob\u011b v\u00e1m d\u00e1me nez\u00e1vaznou nab\u00eddku.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left;\"><a class=\"maxbutton-9 maxbutton maxbutton-spring-request-cz\" target=\"_blank\" rel=\"noopener\" href=\"\/cs\/jarni-pozadavek\/\"><span class='mb-text'>Popt\u00e1vka<\/span><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><em>Dal\u0161\u00ed informace viz:<\/em><\/p>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/cs\/tvarove-pruziny-listove-pruziny-a-ploche-pruziny\/\">Tvarov\u00e9 pru\u017einy, ploch\u00e9 pru\u017einy a listov\u00e9 pru\u017einy<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/cs\/pruzinova-ocel-a-plechy-z-pruzinove-oceli-ze-skladu\/\">Pru\u017einov\u00e1 ocel a plechy z pru\u017einov\u00e9 oceli ze skladu<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/cs\/prehled-typu-pruzin\/\">P\u0159ehled typ\u016f pru\u017ein<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/cs\/pruzinove-spony-pro-kazdou-aplikaci\/\">Pru\u017einov\u00e9 spony pro ka\u017edou aplikaci<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/federstahlklammer\/\">Spony z pru\u017einov\u00e9 oceli pozinkovan\u00e9 a vyroben\u00e9 z nerezov\u00e9 oceli<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/info.formfedern.com\/cs\/laserove-dily-v-expresni-vyrobe\/\">Objednejte si laserov\u00e9 d\u00edly rychle a snadno<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>Kdy\u017e je listov\u00e1 pru\u017eina nebo ploch\u00e1 pru\u017eina upnuta na jedn\u00e9 stran\u011b, lze maxim\u00e1ln\u00ed nap\u011bt\u00ed v ohybu, s\u00edlu pru\u017einy, pr\u016fhyb pru\u017einy (pr\u016fhyb), tlou\u0161\u0165ku listu pru\u017einy a rychlost pru\u017einy vypo\u010d\u00edtat n\u00e1sledovn\u011b. Nap\u011bt\u00ed v ohybu se line\u00e1rn\u011b zvy\u0161uje s listovou pru\u017einou nebo plochou<\/p>\n","protected":false},"author":6,"featured_media":5768,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[691,694,692,695,693,684],"tags":[1337,1335,1333,1332,1339,1340,1334,1336,1338],"class_list":["post-5766","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-listove-pruziny","category-pasove-pruziny","category-ploche-pruziny","category-pruzne-podlozky","category-tvarovane-pruziny","category-znalost","tag-berechnen-cs","tag-biegespannung-cs","tag-blattfeder-cs","tag-blattfeder-berechnung-cs","tag-federblattstaerke-cs","tag-federrate-cs","tag-flachfeder-cs","tag-formeln-cs","tag-sila-pruziny"],"_links":{"self":[{"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/posts\/5766","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/comments?post=5766"}],"version-history":[{"count":12,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/posts\/5766\/revisions"}],"predecessor-version":[{"id":10889,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/posts\/5766\/revisions\/10889"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/media\/5768"}],"wp:attachment":[{"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/media?parent=5766"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/categories?post=5766"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/info.formfedern.com\/cs\/wp-json\/wp\/v2\/tags?post=5766"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}