{"id":20562,"date":"2024-12-20T19:13:43","date_gmt":"2024-12-20T22:13:43","guid":{"rendered":"https:\/\/hangarmma.com.br\/blog\/?post_type=glossary&#038;p=20562"},"modified":"2024-12-20T19:13:57","modified_gmt":"2024-12-20T22:13:57","slug":"coeficientes-de-expansao","status":"publish","type":"glossary","link":"https:\/\/hangarmma.com.br\/blog\/coeficientes-de-expansao\/","title":{"rendered":"Coeficientes de expans\u00e3o"},"content":{"rendered":"<h1>Coeficientes de Expans&#xE3;o Linear<\/h1>\n    <p>\n        A expans&#xE3;o de um objeto devido a varia&#xE7;&#xF5;es de <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_d24adcde90e488bb88458b096212a94d\" data-link=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" href=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">temperatura<\/a> depende de tr&#xEA;s fatores principais: \n        o comprimento inicial, a eleva&#xE7;&#xE3;o da <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_d24adcde90e488bb88458b096212a94d\" data-link=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" href=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">temperatura<\/a> (diferen&#xE7;a entre temperaturas final e inicial), \n        e o coeficiente de expans&#xE3;o linear do material. Este coeficiente, representado pela letra &#x201C;K&#x201D; ou \n        pelo s&#xED;mbolo grego &#x201C;&#x3B1;&#x201D; (alfa), &#xE9; uma constante caracter&#xED;stica do material que indica quanto ele se \n        expande por unidade de comprimento e grau Celsius.\n    <\/p>\n    <p>\n        A f&#xF3;rmula geral para calcular a expans&#xE3;o linear &#xE9;:\n    <\/p>\n    <p>\n        <strong>e = K &#x22C5; L &#x22C5; (t<sub>2<\/sub> &#x2013; t<sub>1<\/sub>)<\/strong>\n    <\/p>\n    <ul>\n        <li><strong>e<\/strong> &#xE9; a expans&#xE3;o linear total;<\/li>\n        <li><strong>K<\/strong> &#xE9; o coeficiente de expans&#xE3;o linear do material (em &#xB0;C&#x207B;&#xB9;);<\/li>\n        <li><strong>L<\/strong> &#xE9; o comprimento inicial do objeto;<\/li>\n        <li><strong>t<sub>2<\/sub><\/strong> e <strong>t<sub>1<\/sub><\/strong> s&#xE3;o as temperaturas final e inicial, respectivamente.<\/li>\n    <\/ul>\n    <h2>Exemplo Pr&#xE1;tico<\/h2>\n    <p>\n        Considere uma haste met&#xE1;lica de 9 p&#xE9;s a uma <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_d24adcde90e488bb88458b096212a94d\" data-link=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" href=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">temperatura<\/a> de 21&#xB0;C, aquecida at&#xE9; 55&#xB0;C. O coeficiente \n        de expans&#xE3;o do material &#xE9; K = 10 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;. A expans&#xE3;o <strong>e<\/strong> &#xE9; calculada como:\n    <\/p>\n    <p>\n        <strong>e = (10 &#xD7; 10&#x207B;&#x2076;) &#x22C5; 9 &#x22C5; (55 &#x2013; 21)<\/strong>\n    <\/p>\n    <p>\n        <strong>e = 0,00001 &#x22C5; 9 &#x22C5; 34<\/strong>\n    <\/p>\n    <p>\n        <strong>e = 0,00306 p&#xE9;s<\/strong>\n    <\/p>\n    <p>\n        Portanto, o novo comprimento da haste &#xE9; <strong>9,00306 p&#xE9;s<\/strong>.\n    <\/p>\n    <h2>Aplica&#xE7;&#xF5;es e Considera&#xE7;&#xF5;es<\/h2>\n    <p>\n        Embora a expans&#xE3;o possa ser pequena em escala linear, em aplica&#xE7;&#xF5;es pr&#xE1;ticas, como engenharia \n        de estruturas, motores de aeronaves ou componentes eletr&#xF4;nicos, a incapacidade de acomodar \n        essa expans&#xE3;o pode gerar tens&#xF5;es significativas. Por isso, o projeto desses sistemas deve considerar \n        a <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_eda49589f46126c94192e463f87a8114\" data-link=\"https:\/\/hangarmma.com.br\/blog\/expansao-termica\/\" href=\"https:\/\/hangarmma.com.br\/blog\/expansao-termica\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">expans&#xE3;o t&#xE9;rmica<\/a>.\n    <\/p>\n    <h2>Coeficientes de Expans&#xE3;o de Materiais Comuns<\/h2>\n    <ul>\n        <li>Alum&#xED;nio: 24 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n        <li>Lat&#xE3;o: 19 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n        <li>A&#xE7;o: 11 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n        <li>Cobre: 17 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n        <li>Quartzo: 0,4 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n        <li>Vidro: 4-9 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n        <li>Zinco: 26 &#xD7; 10&#x207B;&#x2076; &#xB0;C&#x207B;&#xB9;<\/li>\n    <\/ul>\n    <h2>Aplica&#xE7;&#xE3;o em Termostatos<\/h2>\n    <p>\n        O princ&#xED;pio da expans&#xE3;o diferencial entre metais &#xE9; amplamente usado em dispositivos como termostatos. \n        Estes consistem em l&#xE2;minas bimet&#xE1;licas que se curvam com mudan&#xE7;as de <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_d24adcde90e488bb88458b096212a94d\" data-link=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" href=\"https:\/\/hangarmma.com.br\/blog\/temperatura\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">temperatura<\/a> devido aos diferentes \n        coeficientes de expans&#xE3;o dos metais que as comp&#xF5;em, acionando mecanismos de controle em motores e \n        sistemas de aquecimento.\n    <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Coeficientes de Expans\u00e3o Linear A expans\u00e3o de um objeto devido a varia\u00e7\u00f5es de temperatura depende de tr\u00eas fatores principais: o comprimento inicial, a eleva\u00e7\u00e3o da temperatura (diferen\u00e7a entre temperaturas final e inicial), e o coeficiente de expans\u00e3o linear do material. Este coeficiente, representado pela letra \u201cK\u201d ou pelo s\u00edmbolo grego \u201c\u03b1\u201d (alfa), \u00e9 uma constante [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"menu_order":0,"template":"","meta":{"_acf_changed":false,"footnotes":""},"glossary-categories":[],"glossary-tags":[],"class_list":["post-20562","glossary","type-glossary","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Coeficientes de expans\u00e3o - HANGAR MMA<\/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:\/\/hangarmma.com.br\/blog\/coeficientes-de-expansao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Coeficientes de expans\u00e3o - HANGAR MMA\" \/>\n<meta property=\"og:description\" content=\"Coeficientes de Expans\u00e3o Linear A expans\u00e3o de um objeto devido a varia\u00e7\u00f5es de temperatura depende de tr\u00eas fatores principais: o comprimento inicial, a eleva\u00e7\u00e3o da temperatura (diferen\u00e7a entre temperaturas final e inicial), e o coeficiente de expans\u00e3o linear do material. 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