{"id":885,"date":"2023-02-20T08:26:12","date_gmt":"2023-02-20T07:26:12","guid":{"rendered":"http:\/\/www.jureknawrocki.com\/?p=885"},"modified":"2026-03-14T08:11:50","modified_gmt":"2026-03-14T07:11:50","slug":"jak-oszacowac-sztywnosc-kroccow","status":"publish","type":"post","link":"https:\/\/jureknawrocki.com\/en\/jak-oszacowac-sztywnosc-kroccow\/","title":{"rendered":"Jak oszacowa\u0107 sztywno\u015b\u0107 kr\u00f3\u0107c\u00f3w"},"content":{"rendered":"<p>W przypadku typowych aparat\u00f3w stosuje si\u0119 znane i uznane metody obliczeniowe. Ale co zrobi\u0107 z wymiennikiem ze stali nierdzewnej, kt\u00f3rego p\u0142aszcza ma 2 mm grubo\u015bci, a dennica 3mm ? Zostaje tylko symulacje MES.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1652\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-1.webp\" alt=\"\" width=\"712\" height=\"556\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-1.webp 712w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-1-480x375.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 712px, 100vw\" \/><\/p>\n<p>Na przyk\u0142ad:<\/p>\n<ul>\n<li>wymuszenie si\u0142\u0105 osiow\u0105 w kierunku X w lokalnym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych daje sztywno\u015b\u0107 63 kN\/mm<\/li>\n<li>wymuszenie obrotem o 1 stopie\u0144 w kierunku X w lokalnym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych daje sztywno\u015b\u0107 23 kN\/m deg<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1653\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-2.webp\" alt=\"\" width=\"903\" height=\"585\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-2.webp 903w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-2-480x311.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 903px, 100vw\" \/><\/p>","protected":false},"excerpt":{"rendered":"<p>W przypadku typowych aparat\u00f3w stosuje si\u0119 znane i uznane metody obliczeniowe. Ale co zrobi\u0107 z wymiennikiem ze stali nierdzewnej, kt\u00f3rego p\u0142aszcza ma 2 mm grubo\u015bci, a dennica 3mm ? Zostaje tylko symulacje MES. Na przyk\u0142ad: wymuszenie si\u0142\u0105 osiow\u0105 w kierunku X w lokalnym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych daje sztywno\u015b\u0107 63 kN\/mm wymuszenie obrotem o 1 stopie\u0144 w [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":1655,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[123,15],"tags":[32,16],"class_list":["post-885","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-obliczenia-wytrzymalosciowe-rur-i-aparatow","category-projekty","tag-mes","tag-naprezenia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Jak oszacowa\u0107 sztywno\u015b\u0107 kr\u00f3\u0107c\u00f3w - Jerzy Nawrocki<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jureknawrocki.com\/en\/jak-oszacowac-sztywnosc-kroccow\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak oszacowa\u0107 sztywno\u015b\u0107 kr\u00f3\u0107c\u00f3w - Jerzy Nawrocki\" \/>\n<meta property=\"og:description\" content=\"W przypadku typowych aparat\u00f3w stosuje si\u0119 znane i uznane metody obliczeniowe. Ale co zrobi\u0107 z wymiennikiem ze stali nierdzewnej, kt\u00f3rego p\u0142aszcza ma 2 mm grubo\u015bci, a dennica 3mm ? Zostaje tylko symulacje MES. Na przyk\u0142ad: wymuszenie si\u0142\u0105 osiow\u0105 w kierunku X w lokalnym uk\u0142adzie wsp\u00f3\u0142rz\u0119dnych daje sztywno\u015b\u0107 63 kN\/mm wymuszenie obrotem o 1 stopie\u0144 w [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jureknawrocki.com\/en\/jak-oszacowac-sztywnosc-kroccow\/\" \/>\n<meta property=\"og:site_name\" content=\"Jerzy Nawrocki\" \/>\n<meta property=\"article:published_time\" content=\"2023-02-20T07:26:12+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-14T07:11:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Jak-oszacowac-sztywnosc-kroccow-3.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"761\" \/>\n\t<meta property=\"og:image:height\" content=\"616\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Jerzy Nawrocki\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jerzy Nawrocki\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/jak-oszacowac-sztywnosc-kroccow\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/jak-oszacowac-sztywnosc-kroccow\\\/\"},\"author\":{\"name\":\"Jerzy Nawrocki\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#\\\/schema\\\/person\\\/b2567f392defa8e7698c6813f7930563\"},\"headline\":\"Jak oszacowa\u0107 sztywno\u015b\u0107 kr\u00f3\u0107c\u00f3w\",\"datePublished\":\"2023-02-20T07:26:12+00:00\",\"dateModified\":\"2026-03-14T07:11:50+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/jak-oszacowac-sztywnosc-kroccow\\\/\"},\"wordCount\":80,\"publisher\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/jak-oszacowac-sztywnosc-kroccow\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/jureknawrocki.com\\\/wp-content\\\/uploads\\\/Jak-oszacowac-sztywnosc-kroccow-3.webp\",\"keywords\":[\"MES\",\"Napr\u0119\u017cenia\"],\"articleSection\":[\"Obliczenia wytrzyma\u0142o\u015bciowe rur i aparat\u00f3w\",\"Z \u017cycia rzeczoznawcy\"],\"inLanguage\":\"en-GB\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/jak-oszacowac-sztywnosc-kroccow\\\/\",\"url\":\"https:\\\/\\\/jureknawrocki.com\\\/jak-oszacowac-sztywnosc-kroccow\\\/\",\"name\":\"Jak oszacowa\u0107 sztywno\u015b\u0107 kr\u00f3\u0107c\u00f3w - 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