{"id":101947,"date":"2024-07-23T22:36:30","date_gmt":"2024-07-23T20:36:30","guid":{"rendered":"https:\/\/www.linseis.com\/mierzone-zmienne\/wspolczynnik-rozszerzalnosci-liniowej\/"},"modified":"2026-01-16T10:22:45","modified_gmt":"2026-01-16T09:22:45","slug":"wspolczynnik-rozszerzalnosci-liniowej","status":"publish","type":"page","link":"https:\/\/www.linseis.com\/pl\/mierzone-zmienne\/wspolczynnik-rozszerzalnosci-liniowej\/","title":{"rendered":"Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"101947\" class=\"elementor elementor-101947 elementor-18948\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a3549cf e-flex e-con-boxed e-con e-parent\" data-id=\"a3549cf\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ac41c94 elementor-widget elementor-widget-image\" data-id=\"ac41c94\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-top-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a7b7feb e-con-full e-flex e-con e-child\" data-id=\"a7b7feb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-6100945 e-con-full e-flex e-con e-child\" data-id=\"6100945\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cc1182c elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"cc1182c\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:250}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\"><b>\nWsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej\n<\/b><\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6d91a43 e-con-full e-flex e-con e-child\" data-id=\"6d91a43\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d7d34fa elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"d7d34fa\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-1024x1024.png\" class=\"attachment-large size-large wp-image-35449\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-1024x1024.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-300x300.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-150x150.png 150w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-768x768.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-1536x1536.png 1536w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_CTE-Laengenausdehnung-2048x2048.png 2048w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4a6800 elementor-widget elementor-widget-image\" data-id=\"b4a6800\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-bottom-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7c8d6cc e-flex e-con-boxed e-con e-parent\" data-id=\"7c8d6cc\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d7b7522 e-flex e-con-boxed e-con e-parent\" data-id=\"d7b7522\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-449b6fd e-con-full e-flex e-con e-child\" data-id=\"449b6fd\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-031217d elementor-invisible elementor-widget elementor-widget-wp-widget-bcn_widget\" data-id=\"031217d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"wp-widget-bcn_widget.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"breadcrumbs\" vocab=\"https:\/\/schema.org\/\" typeof=\"BreadcrumbList\"><span property=\"itemListElement\" typeof=\"ListItem\"><a property=\"item\" typeof=\"WebPage\" title=\"Przejd\u017a do Linseis.\" href=\"https:\/\/www.linseis.com\/pl\/\" class=\"home\" aria-current=\"page\"><span property=\"name\">Linseis<\/span><\/a><meta property=\"position\" content=\"1\"><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-ed98f58 e-flex e-con-boxed e-con e-parent\" data-id=\"ed98f58\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-bbc47b3 e-con-full e-flex e-con e-child\" data-id=\"bbc47b3\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-71a1ec4 elementor-widget elementor-widget-text-editor\" data-id=\"71a1ec4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej CTE &#8211; zmienna mierzona w dylatometrii<\/h2><p>Wsp\u00f3\u0142czynniki rozszerzalno\u015bci (rozszerzalno\u015b\u0107 liniowa i rozszerzalno\u015b\u0107 przestrzenna) to w\u0142a\u015bciwo\u015bci materia\u0142u, kt\u00f3re s\u0105 okre\u015blane eksperymentalnie i wyra\u017cane w jednostkach mm\/m*K.<\/p><p>Kelwin jest jednostk\u0105 miary temperatury bezwzgl\u0119dnej i r\u00f3\u017cnic mi\u0119dzy temperaturami w skali Celsjusza.<\/p><h3>Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej<\/h3><p>Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej wskazuje r\u00f3\u017cnic\u0119 d\u0142ugo\u015bci w stosunku do ca\u0142kowitej d\u0142ugo\u015bci L, o jak\u0105 zmienia si\u0119 cia\u0142o sta\u0142e przy zmianie temperatury o jeden Kelwin.<\/p><p><img decoding=\"async\" class=\"alignnone wp-image-55637 size-medium\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/09\/Laengenausdehnungskoeffizient-Formel-300x83.png\" alt=\"\" width=\"300\" height=\"83\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/09\/Laengenausdehnungskoeffizient-Formel-300x83.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/09\/Laengenausdehnungskoeffizient-Formel.png 399w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p><p>L0 to d\u0142ugo\u015b\u0107 pr\u00f3bki, <sub>\u0394LT<\/sub> to zmiana d\u0142ugo\u015bci w temperaturze<sub>TT<\/sub><\/p><p>Dok\u0142adny pomiar rozszerzalno\u015bci liniowej jest przeprowadzany przy u\u017cyciu dylatometru. Pr\u00f3bki s\u0105 podgrzewane w piecu. Profil temperatury jest zgodny z precyzyjnie okre\u015blonym programem, kt\u00f3ry pozwala na wymagan\u0105 pr\u0119dko\u015b\u0107 ogrzewania, wymagane czasy utrzymywania temperatury i zdefiniowane procesy ch\u0142odzenia. Wymiary pr\u00f3bki s\u0105 stale rejestrowane podczas tego procesu. R\u00f3\u017cne dylatometry Linseis s\u0105 zoptymalizowane do specjalnych zada\u0144 i wyposa\u017cone w rozbudowane procedury oceny.    <\/p><h3>Wsp\u00f3\u0142czynnik rozszerzalno\u015bci pomieszczenia:<\/h3><p>Wsp\u00f3\u0142czynnik rozszerzalno\u015bci obj\u0119to\u015bciowej wskazuje, o ile obj\u0119to\u015b\u0107 cia\u0142a wzrasta lub maleje w stosunku do ca\u0142kowitej obj\u0119to\u015bci, gdy temperatura zmienia si\u0119 o jeden Kelwin.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-3473d73 e-flex e-con-boxed elementor-invisible e-con e-parent\" data-id=\"3473d73\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-11f930b elementor-widget elementor-widget-image\" data-id=\"11f930b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"800\" height=\"382\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Strasse-Risse-1024x489.png\" class=\"attachment-large size-large wp-image-34753\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Strasse-Risse-1024x489.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Strasse-Risse-300x143.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Strasse-Risse-768x366.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Strasse-Risse.png 1440w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8801439 e-flex e-con-boxed elementor-invisible e-con e-parent\" data-id=\"8801439\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-4fda86f e-con-full e-flex e-con e-child\" data-id=\"4fda86f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-fe6d621 elementor-widget elementor-widget-text-editor\" data-id=\"fe6d621\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>Ekspansja w codziennym \u017cyciu<\/h2><p>Substancje reaguj\u0105 na zmian\u0119 temperatury poprzez zmian\u0119 swojej obj\u0119to\u015bci lub d\u0142ugo\u015bci.<\/p><p>Ma to wp\u0142yw na wszystkie obszary technologii. W <strong><a href=\"https:\/\/www.linseis.com\/applikationen\/baustoffe\/\"><b>bran\u017cy budowlanej<\/b><\/a> oraz przy budowie dr\u00f3g, most\u00f3w i linii kolejowych<\/strong> nale\u017cy zaplanowa\u0107 dylatacje, kt\u00f3re b\u0119d\u0105 absorbowa\u0107 liniowe rozszerzanie si\u0119 materia\u0142\u00f3w budowlanych. <\/p><p><strong>Kompensatory<\/strong> s\u0105 dostarczane w ruroci\u0105gach w postaci wbudowanych kolanek rurowych. Linie napowietrzne dla <strong><a href=\"https:\/\/www.linseis.com\/applikationen\/nuklear-und-energie\/\"><b>dostarczania energii<\/b><\/a> <\/strong>musz\u0105 by\u0107 zaprojektowane w taki spos\u00f3b, aby przewody nie p\u0119ka\u0142y zim\u0105 i mia\u0142y wystarczaj\u0105c\u0105 odleg\u0142o\u015b\u0107 od ziemi latem. <\/p><p>Podstaw\u0105 oblicze\u0144 tych i wielu innych konstrukcji jest wsp\u00f3\u0142czynnik liniowej rozszerzalno\u015bci cieplnej.<\/p><p>Podczas przechowywania cieczy nale\u017cy utrzymywa\u0107 okre\u015blony maksymalny poziom nape\u0142nienia. Nad poziomem cieczy pozostaje wolna przestrze\u0144, kt\u00f3ra poch\u0142ania wahania obj\u0119to\u015bci. W obliczeniach takich problem\u00f3w wykorzystuje si\u0119 <strong>wsp\u00f3\u0142czynnik rozszerzalno\u015bci obj\u0119to\u015bciowej<\/strong>.  <\/p><p>Terminy te wynikaj\u0105 z faktu, \u017ce wi\u0119kszo\u015b\u0107 substancji rozszerza si\u0119 po podgrzaniu. W nielicznych wyj\u0105tkach, gdy substancje kurcz\u0105 si\u0119 po podgrzaniu, warto\u015bci obu zmiennych s\u0105 ujemne. <\/p><p>W przypadku materia\u0142\u00f3w izotropowych, kt\u00f3rych w\u0142a\u015bciwo\u015bci s\u0105 niezale\u017cne od rozwa\u017canego kierunku, wsp\u00f3\u0142czynnik rozszerzalno\u015bci obj\u0119to\u015bciowej jest trzykrotnie wi\u0119kszy od wsp\u00f3\u0142czynnika rozszerzalno\u015bci liniowej.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-aed7062 e-flex e-con-boxed elementor-invisible e-con e-parent\" data-id=\"aed7062\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-aae54ad elementor-widget elementor-widget-image\" data-id=\"aae54ad\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"382\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnungsfuge-Strasse-1024x489.png\" class=\"attachment-large size-large wp-image-34757\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnungsfuge-Strasse-1024x489.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnungsfuge-Strasse-300x143.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnungsfuge-Strasse-768x366.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnungsfuge-Strasse.png 1440w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-50adb82 e-flex e-con-boxed e-con e-parent\" data-id=\"50adb82\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej CTE &#8211; zmienna mierzona w dylatometrii Wsp\u00f3\u0142czynniki rozszerzalno\u015bci (rozszerzalno\u015b\u0107 liniowa i rozszerzalno\u015b\u0107 przestrzenna) to w\u0142a\u015bciwo\u015bci materia\u0142u, kt\u00f3re s\u0105 okre\u015blane eksperymentalnie i wyra\u017cane w jednostkach mm\/m*K. Kelwin jest jednostk\u0105 miary temperatury bezwzgl\u0119dnej i r\u00f3\u017cnic mi\u0119dzy temperaturami w skali Celsjusza. Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej Wsp\u00f3\u0142czynnik rozszerzalno\u015bci liniowej wskazuje r\u00f3\u017cnic\u0119 d\u0142ugo\u015bci w stosunku [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":101932,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-101947","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages\/101947","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/comments?post=101947"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages\/101947\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/pages\/101932"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pl\/wp-json\/wp\/v2\/media?parent=101947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}