{"id":103486,"date":"2024-07-23T22:36:30","date_gmt":"2024-07-23T20:36:30","guid":{"rendered":"https:\/\/www.linseis.com\/variaveis-medidas\/coeficiente-de-expansao-linear\/"},"modified":"2026-01-12T10:20:39","modified_gmt":"2026-01-12T09:20:39","slug":"coeficiente-de-expansao-linear","status":"publish","type":"page","link":"https:\/\/www.linseis.com\/pt-pt\/variaveis-medidas\/coeficiente-de-expansao-linear\/","title":{"rendered":"Coeficiente de expans\u00e3o linear"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"103486\" class=\"elementor elementor-103486 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 fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/06\/linseis_scale-top-1.svg\" class=\"attachment-large size-large wp-image-29175\" alt=\"\" \/>\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>\nCoeficiente de expans\u00e3o linear\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 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-35450\" 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\" width=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/06\/linseis_scale-bottom-1.svg\" class=\"attachment-large size-large wp-image-29171\" alt=\"\" \/>\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=\"Go to Linseis.\" href=\"https:\/\/www.linseis.com\/pt-pt\/\" 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>Coeficiente de expans\u00e3o linear CTE &#8211; uma vari\u00e1vel medida em dilatometria<\/h2><p>Os coeficientes de expans\u00e3o (expans\u00e3o linear e expans\u00e3o espacial) s\u00e3o propriedades do material que s\u00e3o determinadas experimentalmente e expressas na unidade mm\/m*K.<\/p><p>Kelvin \u00e9 a unidade de medida da temperatura absoluta e das diferen\u00e7as entre temperaturas na escala Celsius.<\/p><h3>Coeficiente de expans\u00e3o linear<\/h3><p>O coeficiente de dilata\u00e7\u00e3o linear indica a diferen\u00e7a de comprimento, em rela\u00e7\u00e3o ao comprimento total L, que um corpo s\u00f3lido varia com uma varia\u00e7\u00e3o de temperatura de um Kelvin.<\/p><p><img loading=\"lazy\" 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 \u00e9 o comprimento da amostra, <sub>\u0394LT<\/sub> \u00e9 a varia\u00e7\u00e3o do comprimento \u00e0 temperatura<sub>TT<\/sub><\/p><p>A medi\u00e7\u00e3o exacta da expans\u00e3o linear \u00e9 realizada com um dilat\u00f3metro. As amostras s\u00e3o aquecidas num forno. A curva de temperatura segue um programa pr\u00e9-determinado com precis\u00e3o que permite a velocidade de aquecimento necess\u00e1ria, os tempos de manuten\u00e7\u00e3o de temperatura necess\u00e1rios e os processos de arrefecimento definidos. As dimens\u00f5es das amostras s\u00e3o registadas continuamente durante este processo. Os v\u00e1rios dilat\u00f4metros Linseis s\u00e3o otimizados para tarefas especiais e equipados com extensas rotinas de avalia\u00e7\u00e3o.    <\/p><h3>Coeficiente de expans\u00e3o da sala:<\/h3><p>O coeficiente de dilata\u00e7\u00e3o espec\u00edfico do volume indica a quantidade pela qual o volume de um corpo aumenta ou diminui em rela\u00e7\u00e3o ao volume total quando a temperatura varia um Kelvin.<\/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 loading=\"lazy\" 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-34754\" 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>Expans\u00e3o na vida quotidiana<\/h2><p>As subst\u00e2ncias reagem a uma mudan\u00e7a de temperatura alterando o seu volume ou comprimento.<\/p><p>Isto tem um impacto em todos os dom\u00ednios da tecnologia. Na <strong><a href=\"https:\/\/www.linseis.com\/applikationen\/baustoffe\/\"><b>ind\u00fastria da constru\u00e7\u00e3o<\/b><\/a> e na constru\u00e7\u00e3o de estradas, pontes e caminhos-de-ferro<\/strong>, as juntas de dilata\u00e7\u00e3o t\u00eam de ser planeadas para absorver a expans\u00e3o linear dos materiais de constru\u00e7\u00e3o. <\/p><p><strong>Os compensadores de expans\u00e3o<\/strong> s\u00e3o instalados nas condutas sob a forma de curvas de tubo incorporadas. Linhas a\u00e9reas para o <strong><a href=\"https:\/\/www.linseis.com\/applikationen\/nuklear-und-energie\/\"><b>fornecimento de energia<\/b><\/a> <\/strong>devem ser concebidas de modo a que os cabos n\u00e3o se partam no inverno e tenham uma dist\u00e2ncia suficiente do solo no ver\u00e3o. <\/p><p>A base para o c\u00e1lculo destas e de muitas outras constru\u00e7\u00f5es \u00e9 o coeficiente de expans\u00e3o t\u00e9rmica linear.<\/p><p>Ao armazenar l\u00edquidos, deve ser mantido um n\u00edvel de enchimento m\u00e1ximo especificado. Acima do n\u00edvel do l\u00edquido, fica um espa\u00e7o livre que absorve as flutua\u00e7\u00f5es de volume. O c\u00e1lculo de tais problemas utiliza o <strong>coeficiente de expans\u00e3o de volume<\/strong>.  <\/p><p>Os termos s\u00e3o derivados do facto de a maioria das subst\u00e2ncias se expandir quando aquecidas. Nas poucas excep\u00e7\u00f5es em que as subst\u00e2ncias se contraem quando aquecidas, os valores de ambas as vari\u00e1veis s\u00e3o negativos. <\/p><p>Para materiais isotr\u00f3picos cujas propriedades s\u00e3o independentes da dire\u00e7\u00e3o considerada, o coeficiente de expans\u00e3o de volume \u00e9 tr\u00eas vezes o coeficiente de expans\u00e3o linear.<\/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-34758\" 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>Coeficiente de expans\u00e3o linear Coeficiente de expans\u00e3o linear CTE &#8211; uma vari\u00e1vel medida em dilatometria Os coeficientes de expans\u00e3o (expans\u00e3o linear e expans\u00e3o espacial) s\u00e3o propriedades do material que s\u00e3o determinadas experimentalmente e expressas na unidade mm\/m*K. Kelvin \u00e9 a unidade de medida da temperatura absoluta e das diferen\u00e7as entre temperaturas na escala Celsius. Coeficiente [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":103471,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-103486","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/pages\/103486","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/comments?post=103486"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/pages\/103486\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/pages\/103471"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/pt-pt\/wp-json\/wp\/v2\/media?parent=103486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}