{"id":576,"date":"2021-11-16T12:00:35","date_gmt":"2021-11-16T11:00:35","guid":{"rendered":"http:\/\/www.jureknawrocki.com\/?p=576"},"modified":"2026-03-14T08:13:49","modified_gmt":"2026-03-14T07:13:49","slug":"trzy-naprezenia-trzy-rozwiazane-klopoty","status":"publish","type":"post","link":"https:\/\/jureknawrocki.com\/en\/trzy-naprezenia-trzy-rozwiazane-klopoty\/","title":{"rendered":"Trzy napr\u0119\u017cenia &#8211; Trzy rozwi\u0105zane k\u0142opoty"},"content":{"rendered":"<p>Przypu\u015bcimy, ze naszym kodem projektowym jest ASME B31 \u2013 3. Naszym zadaniem jest por\u00f3wna\u0107 napr\u0119\u017cenia normowe pochodz\u0105ce z oblicze\u0144 analitycznych z pochodz\u0105cymi z symulacji. Zajmujemy si\u0119 opisem rury DN 250 273 x 7,1 o d\u0142ugo\u015bci 500 mm pod ci\u015bnieniem 2 MPa.<\/p>\n<p>Napr\u0119\u017cenie obwodowe oblicza si\u0119 zgodnie z klasyczn\u0105 teori\u0105 Laplace\u2019a podan\u0105 w \u00a0punktem A842.2.2.\u00a0 Napr\u0119\u017cenie wzd\u0142u\u017cne oblicza si\u0119 zgodnie z punktem A842.2.2. Napr\u0119\u017cenie osiowe oblicza si\u0119 zgodnie z klasyczn\u0105 teori\u0105 Laplace\u2019a. Napr\u0119\u017cenie radialne jest pomijane dla cienko\u015bciennej rurki ale dla porz\u0105dku te\u017c je obliczy\u0142em.<\/p>\n<p style=\"text-align: center;\">Potem dla sprawdzenia wykona\u0142em symulacj\u0119 tych warto\u015bci, kt\u00f3re s\u0105 podane na poni\u017cszym rysunku. R\u00f3\u017cni\u0105 si\u0119 one troch\u0119 od wyliczonych analitycznie ale generalnie jest OK.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1754\" src=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Trzy-naprezenia-1-scaled.webp\" alt=\"\" width=\"2560\" height=\"1106\" srcset=\"https:\/\/jn.proklik.pl\/wp-content\/uploads\/Trzy-naprezenia-1-scaled.webp 2560w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Trzy-naprezenia-1-1280x553.webp 1280w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Trzy-naprezenia-1-980x423.webp 980w, https:\/\/jn.proklik.pl\/wp-content\/uploads\/Trzy-naprezenia-1-480x207.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) and (max-width: 1280px) 1280px, (min-width: 1281px) 2560px, 100vw\" \/><\/p>\n<p style=\"text-align: center;\">","protected":false},"excerpt":{"rendered":"<p>Przypu\u015bcimy, ze naszym kodem projektowym jest ASME B31 \u2013 3. Naszym zadaniem jest por\u00f3wna\u0107 napr\u0119\u017cenia normowe pochodz\u0105ce z oblicze\u0144 analitycznych z pochodz\u0105cymi z symulacji. Zajmujemy si\u0119 opisem rury DN 250 273 x 7,1 o d\u0142ugo\u015bci 500 mm pod ci\u015bnieniem 2 MPa. Napr\u0119\u017cenie obwodowe oblicza si\u0119 zgodnie z klasyczn\u0105 teori\u0105 Laplace\u2019a podan\u0105 w \u00a0punktem A842.2.2.\u00a0 Napr\u0119\u017cenie [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":1753,"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":[123,125,15],"tags":[32,16],"class_list":["post-576","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-obliczenia-wytrzymalosciowe-rur-i-aparatow","category-mes","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>Trzy napr\u0119\u017cenia - Trzy rozwi\u0105zane k\u0142opoty - 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\/trzy-naprezenia-trzy-rozwiazane-klopoty\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Trzy napr\u0119\u017cenia - Trzy rozwi\u0105zane k\u0142opoty - Jerzy Nawrocki\" \/>\n<meta property=\"og:description\" content=\"Przypu\u015bcimy, ze naszym kodem projektowym jest ASME B31 \u2013 3. Naszym zadaniem jest por\u00f3wna\u0107 napr\u0119\u017cenia normowe pochodz\u0105ce z oblicze\u0144 analitycznych z pochodz\u0105cymi z symulacji. Zajmujemy si\u0119 opisem rury DN 250 273 x 7,1 o d\u0142ugo\u015bci 500 mm pod ci\u015bnieniem 2 MPa. Napr\u0119\u017cenie obwodowe oblicza si\u0119 zgodnie z klasyczn\u0105 teori\u0105 Laplace\u2019a podan\u0105 w \u00a0punktem A842.2.2.\u00a0 Napr\u0119\u017cenie [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jureknawrocki.com\/en\/trzy-naprezenia-trzy-rozwiazane-klopoty\/\" \/>\n<meta property=\"og:site_name\" content=\"Jerzy Nawrocki\" \/>\n<meta property=\"article:published_time\" content=\"2021-11-16T11:00:35+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-14T07:13:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Trzy-naprezenia-2.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"142\" \/>\n\t<meta property=\"og:image:height\" content=\"80\" \/>\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\\\/trzy-naprezenia-trzy-rozwiazane-klopoty\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/trzy-naprezenia-trzy-rozwiazane-klopoty\\\/\"},\"author\":{\"name\":\"Jerzy Nawrocki\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#\\\/schema\\\/person\\\/b2567f392defa8e7698c6813f7930563\"},\"headline\":\"Trzy napr\u0119\u017cenia &#8211; 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