{"id":2525,"date":"2024-07-30T08:18:46","date_gmt":"2024-07-30T06:18:46","guid":{"rendered":"https:\/\/jureknawrocki.com\/?p=2525"},"modified":"2026-03-14T08:07:01","modified_gmt":"2026-03-14T07:07:01","slug":"obliczenia-rurociagow-z-pvc-cz-ii","status":"publish","type":"post","link":"https:\/\/jureknawrocki.com\/en\/obliczenia-rurociagow-z-pvc-cz-ii\/","title":{"rendered":"PVC Piping stress calculations Part II"},"content":{"rendered":"<p>The example below shows how little is needed for the loads on the nozzles to be exceeded. The installation temperature is 15C, and the design temperature is 30C. Code B31.3. With such a small temperature difference, which caused thermal elongation of only 1 mm, if the nozzles of two tanks were connected rigidly with a straight DN 100 pipe without any self-compensation, the forces and moments on these nozzles would be exceeded by about 150%. <\/p>\n\n\n\n<p>From this case, it is recommended to never connect to the nozzles with a straight section that is supported on one side by another nozzle or a fixed point. The sketch below shows just such a connection between the nozzles marked as two yellow collars.      <\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"597\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-1-1024x597.jpg\" alt=\"\" class=\"wp-image-2526\" style=\"width:739px;height:auto\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-1-1024x597.jpg 1024w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-1-980x572.jpg 980w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-1-480x280.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p>Here is a model of part of the installation. These are the nozzles at the bottom of the tanks at the end of their conical parts. <\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"599\" height=\"481\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-2.jpg\" alt=\"\" class=\"wp-image-2527\" style=\"width:621px;height:auto\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-2.jpg 599w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-2-480x385.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 599px, 100vw\" \/><\/figure>\n\n\n\n<p>The stress results are shown below and are as accurate as possible. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"461\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-3-1024x461.jpg\" alt=\"\" class=\"wp-image-2528\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-3-980x441.jpg 980w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-3-480x216.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p>The deformation results are shown below and do not raise any particular doubts.  <\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"513\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-4-1024x513.jpg\" alt=\"\" class=\"wp-image-2529\" style=\"width:823px;height:auto\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-4-980x491.jpg 980w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-4-480x240.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p>Finally, the results of exceedances at the nozzles. <\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"876\" height=\"452\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-5.jpg\" alt=\"\" class=\"wp-image-2530\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-5.jpg 876w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-5-480x248.jpg 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 876px, 100vw\" \/><\/figure>","protected":false},"excerpt":{"rendered":"<p>Na poni\u017cszym przyk\u0142adzie pokazano jak niewiele trzeba aby obci\u0105\u017cenia na kr\u00f3\u0107cach zosta\u0142y przekroczone. Temperatura monta\u017cu to 15C, a obliczeniowa 30C. Kod B31.3. Przy tak ma\u0142ej r\u00f3\u017cnicy temperatur, kt\u00f3ra spowodowa\u0142a wyd\u0142u\u017cenie termiczne zaledwie o 1mm, je\u017celi kr\u00f3\u0107ce dw\u00f3ch zbiornik\u00f3w zosta\u0142y po\u0142\u0105czone prost\u0105 rurk\u0105 DN 100 na sztywno bez \u017cadnej samokompensacji, to nast\u0105pi\u0105 przekroczenia si\u0142y i moment\u00f3w [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2527,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"off","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[123,15],"tags":[105,16,57],"class_list":["post-2525","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-obliczenia-wytrzymalosciowe-rur-i-aparatow","category-projekty","tag-autopipe","tag-naprezenia","tag-pvc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Obliczenia ruroci\u0105g\u00f3w z PVC cz. 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Przy tak ma\u0142ej r\u00f3\u017cnicy temperatur, kt\u00f3ra spowodowa\u0142a wyd\u0142u\u017cenie termiczne zaledwie o 1mm, je\u017celi kr\u00f3\u0107ce dw\u00f3ch zbiornik\u00f3w zosta\u0142y po\u0142\u0105czone prost\u0105 rurk\u0105 DN 100 na sztywno bez \u017cadnej samokompensacji, to nast\u0105pi\u0105 przekroczenia si\u0142y i moment\u00f3w [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jureknawrocki.com\/en\/obliczenia-rurociagow-z-pvc-cz-ii\/\" \/>\n<meta property=\"og:site_name\" content=\"Jerzy Nawrocki\" \/>\n<meta property=\"article:published_time\" content=\"2024-07-30T06:18:46+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-14T07:07:01+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/PVC-II-2.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"599\" \/>\n\t<meta property=\"og:image:height\" content=\"481\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\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=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/obliczenia-rurociagow-z-pvc-cz-ii\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/obliczenia-rurociagow-z-pvc-cz-ii\\\/\"},\"author\":{\"name\":\"Jerzy Nawrocki\",\"@id\":\"https:\\\/\\\/jureknawrocki.com\\\/#\\\/schema\\\/person\\\/b2567f392defa8e7698c6813f7930563\"},\"headline\":\"Obliczenia ruroci\u0105g\u00f3w z PVC cz. 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