{"id":8014,"date":"2024-03-01T16:06:18","date_gmt":"2024-03-01T16:06:18","guid":{"rendered":"http:\/\/boyanmfg.com\/?p=8014"},"modified":"2024-05-27T17:11:08","modified_gmt":"2024-05-27T17:11:08","slug":"insights-gear-common-normal-involute-line","status":"publish","type":"post","link":"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/","title":{"rendered":"Explorando a Normal Comum das Engrenagens: Perspectivas sobre a Mec\u00e2nica da Linha Involuta"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"8014\" class=\"elementor elementor-8014\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-83ad5df elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"83ad5df\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3d2c9ca\" data-id=\"3d2c9ca\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2d63993 elementor-widget elementor-widget-heading\" data-id=\"2d63993\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_78 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u00cdndice<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Alternar o \u00edndice\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Alternar<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#Measurement_of_Common_Normal_Length_in_Gear_Inspection_Methods\" >Medi\u00e7\u00e3o do comprimento normal comum nos m\u00e9todos de inspe\u00e7\u00e3o de engrenagens<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#The_Basic_Concept_of_Involute\" >O conceito b\u00e1sico de Involute<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#Introduction_to_Involute_Simplified_Understanding_and_Basic_Knowledge\" >Introdu\u00e7\u00e3o \u00e0 Involute: compreens\u00e3o simplificada e conhecimentos b\u00e1sicos<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#The_Concept_of_Pressure_Angle_%CE%B1_and_Its_Variability\" >O conceito de \u00e2ngulo de press\u00e3o \u03b1 e a sua variabilidade<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#Common_Normal_Function\" >Fun\u00e7\u00e3o normal comum<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#The_Concept_of_the_Gears_Common_Normal\" >O conceito de normal comum da engrenagem<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#spanned_tooth_number\" >n\u00famero do dente estendido<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#Conclusion\" >Conclus\u00e3o<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/#If_youre_looking_for_plastic_gear_solutions_we_might_be_able_to_assist_Let_us_know_how_we_can_help\" >Se est\u00e1 \u00e0 procura de solu\u00e7\u00f5es para engrenagens de pl\u00e1stico, talvez possamos ajud\u00e1-lo. Diga-nos como o podemos ajudar.<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Measurement_of_Common_Normal_Length_in_Gear_Inspection_Methods\"><\/span>Medi\u00e7\u00e3o do comprimento normal comum nos m\u00e9todos de inspe\u00e7\u00e3o de engrenagens<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a360d85 elementor-widget elementor-widget-text-editor\" data-id=\"a360d85\" data-element_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<p class=\"translation-block\">Ao discutir os m\u00e9todos de inspe\u00e7\u00e3o de engrenagens, a medi\u00e7\u00e3o do <strong>comprimento da linha normal comum<\/strong> apresenta uma t\u00e9cnica simples e econ\u00f3mica amplamente utilizada na <strong>produ\u00e7\u00e3o de engrenagens<\/strong> e nas <strong>inspec\u00e7\u00f5es de engenharia inversa. <\/strong><\/p><p class=\"translation-block\">Este m\u00e9todo, em compara\u00e7\u00e3o com a medi\u00e7\u00e3o tradicional da espessura de cada dente, n\u00e3o s\u00f3 simplifica a opera\u00e7\u00e3o, como tamb\u00e9m evita eficazmente quest\u00f5es relacionadas com a deforma\u00e7\u00e3o el\u00e1stica local causada pelo contacto pontual, aumentando assim a precis\u00e3o das medi\u00e7\u00f5es. Na medi\u00e7\u00e3o da espessura dent\u00e1ria com <strong>calibradores de vernier de dentes de engrenagem<\/strong>, \u00e9 essencial garantir que os calibradores permane\u00e7am paralelos \u00e0 superf\u00edcie do dente, o que, sem d\u00favida, aumenta a dificuldade de medi\u00e7\u00e3o. Al\u00e9m disso, a utiliza\u00e7\u00e3o de um equipamento CNC (Controlo Num\u00e9rico Computadorizado) para a medi\u00e7\u00e3o \u00e9 precisa, mas tamb\u00e9m dispendiosa e trabalhosa.<\/p><p class=\"translation-block\">Este artigo come\u00e7ar\u00e1 por introduzir o conceito b\u00e1sico da <strong>linha involuta<\/strong>, aprofundando gradualmente o conceito de <strong>normal comum da engrenagem.<\/strong> No final deste artigo, dever\u00e1 ter uma compreens\u00e3o abrangente do mesmo e ser capaz de aplicar este conhecimento eficazmente no seu trabalho.<\/p>\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e301cae elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e301cae\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4099f72\" data-id=\"4099f72\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fdfd19d elementor-widget elementor-widget-menu-anchor\" data-id=\"fdfd19d\" data-element_type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"involute\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b30397 elementor-widget elementor-widget-heading\" data-id=\"6b30397\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"The_Basic_Concept_of_Involute\"><\/span>O conceito b\u00e1sico de Involute<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c235c49 elementor-widget elementor-widget-text-editor\" data-id=\"c235c49\" data-element_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<h3><span class=\"ez-toc-section\" id=\"Introduction_to_Involute_Simplified_Understanding_and_Basic_Knowledge\"><\/span>Introdu\u00e7\u00e3o \u00e0 Involute: compreens\u00e3o simplificada e conhecimentos b\u00e1sicos<span class=\"ez-toc-section-end\"><\/span><\/h3><p class=\"translation-block\">A involuta, um conceito frequentemente mencionado em matem\u00e1tica e engenharia, pode ser compreendida atrav\u00e9s de uma experi\u00eancia simples: imagine que temos um fio fino n\u00e3o el\u00e1stico enrolado num objeto circular (pense nele como um c\u00edrculo perfeito). Quando come\u00e7amos a desenrolar lentamente esta corda, mantendo-a esticada, o caminho que a extremidade da corda percorre forma o que se chama um <a href=\"https:\/\/mathworld.wolfram.com\/Involute.html\" target=\"_blank\" rel=\"noopener\">involuto<\/a>. Neste processo, o objeto circular \u00e9 referido como o \u201c<strong>c\u00edrculo base<\/strong>\u201d e a corda que se desenrola \u00e9 conhecida como a \u201c<strong>linha geradora<\/strong>\u201d.\u201d<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-4303449 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4303449\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-ad74522\" data-id=\"ad74522\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c535d14 elementor-widget elementor-widget-image\" data-id=\"c535d14\" data-element_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=\"500\" height=\"375\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/forming-of-involute.gif\" class=\"attachment-large size-large wp-image-8023\" alt=\"a forma\u00e7\u00e3o da linha involuta\">\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<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-7c34e51\" data-id=\"7c34e51\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c76c67e elementor-widget elementor-widget-image\" data-id=\"c76c67e\" data-element_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=\"500\" height=\"375\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/composition-of-involute.jpg\" class=\"attachment-large size-large wp-image-8031\" alt=\"A composi\u00e7\u00e3o de um involuto\" srcset=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/composition-of-involute.jpg 500w, https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/composition-of-involute-300x225.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\">\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-4817a1b elementor-widget elementor-widget-text-editor\" data-id=\"4817a1b\" data-element_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<p class=\"translation-block\">Nesta a\u00e7\u00e3o, a <strong>linha geradora<\/strong> permanece <strong>tangente ao c\u00edrculo base<\/strong>, e em qualquer ponto do involuto, \u00e9 <strong>perpendicular \u00e0 curva<\/strong>. Este \u00e2ngulo, a que chamamos <strong>\u00e2ngulo de involu\u00e7\u00e3o \u03b8 (\u2220KOK<sub>0<\/sub>)<\/strong>, \u00e9 o \u00e2ngulo formado pela reta que liga o ponto da involuta <strong>(<code>K<\/code>)<\/strong> ao centro do c\u00edrculo base <strong>(<code>O<\/code>)<\/strong> a partir do ponto inicial da involuta <strong>(<code>K<sub>0<\/sub><\/code>)<\/strong>.<\/p><p class=\"translation-block\">Vale a pena notar que, como o comprimento da corda n\u00e3o muda, <strong>o comprimento do arco no c\u00edrculo base (arco NK<sub>0<\/sub>) e o comprimento da linha geradora (NK) s\u00e3o numericamente iguais<\/strong>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e8a4a6f elementor-widget elementor-widget-text-editor\" data-id=\"e8a4a6f\" data-element_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<h3><span class=\"ez-toc-section\" id=\"The_Concept_of_Pressure_Angle_%CE%B1_and_Its_Variability\"><\/span>O conceito de \u00e2ngulo de press\u00e3o \u03b1 e a sua variabilidade<span class=\"ez-toc-section-end\"><\/span><\/h3><p class=\"translation-block\">Aprofundando, vamos discutir um conceito intimamente relacionado com o involuto - o<strong> \u00e2ngulo de press\u00e3o \u03b1<\/strong>. O \u00e2ngulo de press\u00e3o \u00e9 o \u00e2ngulo entre a normal em qualquer ponto do involuto (ou seja, a linha perpendicular ao involuto) e a dire\u00e7\u00e3o da velocidade atrav\u00e9s desse ponto. \u00c9 importante notar que o \u00e2ngulo de press\u00e3o varia em cada ponto ao longo da involuta, come\u00e7ando em zero no in\u00edcio da involuta e aumentando gradualmente \u00e0 medida que se move para fora.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e6e90fd elementor-widget elementor-widget-image\" data-id=\"e6e90fd\" data-element_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=\"550\" height=\"413\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/pressure-angle-involute-line.jpg\" class=\"attachment-large size-large wp-image-8036\" alt=\"\u00e2ngulo de press\u00e3o da linha involuta\" srcset=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/pressure-angle-involute-line.jpg 550w, https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/pressure-angle-involute-line-300x225.jpg 300w\" sizes=\"(max-width: 550px) 100vw, 550px\">\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 class=\"elementor-element elementor-element-df49fcb elementor-widget elementor-widget-text-editor\" data-id=\"df49fcb\" data-element_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<p class=\"translation-block\">Adicionalmente, a dist\u00e2ncia de um ponto K no involuto ao centro do c\u00edrculo, <code>r<sub>k<\/sub><\/code>, pode ser calculada utilizando a f\u00f3rmula <code>r<sub>k<\/sub> = r<sub>b<\/sub> \/ cos(\u03b1<sub>k<\/sub>)<\/code>, em que <code>r<sub>b<\/sub><\/code> \u00e9 o raio do c\u00edrculo base e <code>\u03b1<sub>k<\/sub><\/code> \u00e9 o \u00e2ngulo de press\u00e3o no ponto K.<\/p>\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ddbf1ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ddbf1ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-051d0f8\" data-id=\"051d0f8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b540e37 elementor-widget elementor-widget-heading\" data-id=\"b540e37\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Common_Normal_Function\"><\/span>Fun\u00e7\u00e3o normal comum<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6809c6b elementor-widget elementor-widget-text-editor\" data-id=\"6809c6b\" data-element_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<p class=\"translation-block\">A rela\u00e7\u00e3o funcional entre o \u00e2ngulo de desenrolamento \u03b8 e o \u00e2ngulo de press\u00e3o \u03b1 \u00e9 designada por fun\u00e7\u00e3o involuta, denotada por <code>inv(\u03b1)<\/code>.<\/p><p class=\"translation-block\">Como mostra o diagrama abaixo, <code>\u03b8<sub>k<\/sub> = \u2220NOK<sub>0<\/sub> - \u03b1<sub>k<\/sub><\/code><\/p><p class=\"translation-block\">Onde, o <code>\u2220NOK<sub>0<\/sub><\/code> \u00e9 igual ao <code>comprimento de arco NK<sub>0<\/sub><\/code> dividido pelo raio <code>r<sub>b<\/sub><\/code>, medido em unidades de comprimento de arco, que tamb\u00e9m pode ser convertido em graus.<\/p><p class=\"translation-block\">Como o comprimento do arco NK<sub>0<\/sub> = NK, ent\u00e3o <code>= NK \/ r<sub>b<\/sub> = tg(\u03b1<sub>k<\/sub>)<\/code><\/p><p class=\"translation-block\">Assim, temos <code>\u03b8<sub>k<\/sub> = tg(\u03b1<sub>k<\/sub>) - \u03b1<sub>k<\/sub><\/code><\/p><p class=\"translation-block\">O que significa <code>inv(\u03b1<sub>k<\/sub>) = tg(\u03b1<sub>k<\/sub>) - \u03b1<sub>k<\/sub><\/code><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8e2d772 elementor-widget elementor-widget-image\" data-id=\"8e2d772\" data-element_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=\"600\" height=\"450\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/Common-Normal-Function-explained.jpg\" class=\"attachment-large size-large wp-image-8042\" alt=\"Explica\u00e7\u00e3o da fun\u00e7\u00e3o normal comum\" srcset=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/Common-Normal-Function-explained.jpg 600w, https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/Common-Normal-Function-explained-300x225.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\">\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4e1d3b0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4e1d3b0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3613489\" data-id=\"3613489\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0e2f3e4 elementor-widget elementor-widget-heading\" data-id=\"0e2f3e4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"The_Concept_of_the_Gears_Common_Normal\"><\/span>\nO conceito de normal comum da engrenagem<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d4377e elementor-widget elementor-widget-text-editor\" data-id=\"3d4377e\" data-element_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<p class=\"translation-block\">Tendo compreendido o conceito b\u00e1sico de involuto, podemos agora aprofundar o conceito de normal comum da engrenagem. Ela se refere a qualquer <strong>linha tangente ao c\u00edrculo base<\/strong> que <strong>intercepta os perfis das engrenagens em pontos separados por v\u00e1rios dentes<\/strong>. Devido \u00e0s carater\u00edsticas do involuto, sabemos que esta linha \u00e9 perpendicular aos involutos que formam estes dois perfis de engrenagens, e \u00e9 por isso que \u00e9 chamada de normal comum.<\/p><p class=\"translation-block\">A partir das ilustra\u00e7\u00f5es, podemos observar que o <strong>comprimento da normal comum <code>(AB)<\/code><\/strong>, aninhada entre esses dois perfis de engrenagens, <strong>\u00e9 igual<\/strong> ao <strong>comprimento do arco<code>ab<\/code><\/strong> no c\u00edrculo base. Mesmo que o \u00e2ngulo da normal comum mude, seu comprimento permanece constante. Esta carater\u00edstica proporciona uma vantagem significativa nas medi\u00e7\u00f5es. Significa que, mesmo que haja algum desvio na posi\u00e7\u00e3o da ferramenta de medi\u00e7\u00e3o, este n\u00e3o afectar\u00e1 o resultado da medi\u00e7\u00e3o.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-03a15da elementor-widget elementor-widget-image\" data-id=\"03a15da\" data-element_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=\"600\" height=\"450\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/common-normal-length-explained.jpg\" class=\"attachment-large size-large wp-image-8047\" alt=\"comprimento normal comum explicado\" srcset=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/common-normal-length-explained.jpg 600w, https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/common-normal-length-explained-300x225.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\">\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 class=\"elementor-element elementor-element-8fa1353 elementor-widget elementor-widget-heading\" data-id=\"8fa1353\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"spanned_tooth_number\"><\/span>n\u00famero do dente estendido<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f9a388c elementor-widget elementor-widget-text-editor\" data-id=\"f9a388c\" data-element_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<p class=\"translation-block\">O n\u00famero de dentes abrangidos pelo comprimento normal comum da engrenagem \u00e9 chamado de \u201cn\u00famero de dentes abrangidos\u201d, que pode ser determinado a partir da normal comum desenhada na planta. Existe uma f\u00f3rmula para o calcular, mas o processo de c\u00e1lculo pode ser um pouco complicado, tornando a observa\u00e7\u00e3o direta a partir da planta mais simples e direta. A f\u00f3rmula \u00e9 a seguinte:<\/p><p class=\"translation-block\"><code>k = z\u03b1 \/ 180\u00b0 + 0,5<\/code><\/p><p class=\"translation-block\">Onde:<\/p><ul><li><code>k<\/code> \u00e9 o n\u00famero do dente de comprimento total,<\/li><li><code>z<\/code> \u00e9 o n\u00famero de dentes,<\/li><li><code>\u03b1<\/code> \u00e9 o \u00e2ngulo de press\u00e3o da engrenagem no c\u00edrculo de circunfer\u00eancia, que \u00e9 de 20\u00b0 na maioria dos casos<\/li><li><code>x<\/code> \u00e9 a engrenagem <a href=\"http:\/\/boyanmfg.com\/gear-terminology-teeth-calculation-formulas-easy-guide\/#profile_shift\">coeficiente de desloca\u00e7\u00e3o do perfil.<\/a><\/li><\/ul>\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-19df150 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"19df150\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-af7754d\" data-id=\"af7754d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4af1dbc elementor-widget elementor-widget-text-editor\" data-id=\"4af1dbc\" data-element_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<p class=\"translation-block\">O comprimento da normal comum tamb\u00e9m pode ser obtido a partir de desenhos CAD, mas tamb\u00e9m pode ser calculado atrav\u00e9s de uma f\u00f3rmula. Para engrenagens com um coeficiente de modifica\u00e7\u00e3o <code>x = 0<\/code>, a f\u00f3rmula para calcular a dist\u00e2ncia entre os dentes \u00e9:<\/p><p class=\"translation-block\"><code>L = m cos \u03b1 [(k - 0,5)\u03c0 + z inv \u03b1]<\/code><\/p><p class=\"translation-block\">Onde:<\/p><ul><li><code>L<\/code> \u00e9 o comprimento da normal comum,<\/li><li><code>\u03b1<\/code> \u00e9 o \u00e2ngulo de press\u00e3o no<a href=\"http:\/\/boyanmfg.com\/gear-terminology-teeth-calculation-formulas-easy-guid#reference_circle\"> c\u00edrculo de refer\u00eancia<\/a>,<\/li><li><code>k<\/code> \u00e9 o n\u00famero do dente de comprimento total.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c7a22a3 elementor-widget elementor-widget-image\" data-id=\"c7a22a3\" data-element_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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"375\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/common-normal-length-stable.jpg\" class=\"attachment-large size-large wp-image-8050\" alt=\"o comprimento normal comum mant\u00e9m-se est\u00e1vel\" srcset=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/common-normal-length-stable.jpg 500w, https:\/\/boyanmfg.com\/wp-content\/uploads\/2024\/03\/common-normal-length-stable-300x225.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\">\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"> Embora o \u00e2ngulo da normal comum possa variar, o seu comprimento permanece o mesmo.<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ebb67af elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ebb67af\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b29a0e7\" data-id=\"b29a0e7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b85407c elementor-widget elementor-widget-text-editor\" data-id=\"b85407c\" data-element_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<p class=\"translation-block\">As f\u00f3rmulas mencionadas acima s\u00e3o calculadas com base no coeficiente de modifica\u00e7\u00e3o <code>x = 0<\/code>, onde a espessura do dente no c\u00edrculo de passo <code>s = zm\/2<\/code>, que \u00e9 metade do passo. No entanto, se <code>x &gt; 0<\/code>, a espessura do dente no c\u00edrculo de passo aumenta, levando a um aumento de <code>L<\/code>, e, inversamente, <code>L<\/code> diminui se <code>x &lt; 0<\/code>. Portanto, a medi\u00e7\u00e3o do comprimento da normal comum \u00e9 um m\u00e9todo eficaz para a engenharia reversa de engrenagens, permitindo a estimativa do coeficiente de modifica\u00e7\u00e3o da engrenagem de amostra.<\/p>\n\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-927f8d3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"927f8d3\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5f9e00e\" data-id=\"5f9e00e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-09020d1 elementor-widget elementor-widget-heading\" data-id=\"09020d1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span>Conclus\u00e3o<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2578ff2 elementor-widget elementor-widget-text-editor\" data-id=\"2578ff2\" data-element_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<p class=\"translation-block\">Para manter este artigo conciso, n\u00e3o vamos aprofundar a deriva\u00e7\u00e3o destas f\u00f3rmulas aqui, mas elas ser\u00e3o abordadas noutros artigos.<\/p><p class=\"translation-block\">Esperamos que este artigo lhe d\u00ea uma ideia clara do que \u00e9 o normal comum. Se tiver alguma d\u00favida, deixe os seus coment\u00e1rios abaixo.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5fbcfb4 elementor-widget elementor-widget-spacer\" data-id=\"5fbcfb4\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-536b71d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"536b71d\" data-element_type=\"section\" data-settings='{\"background_background\":\"classic\"}'>\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6fafede\" data-id=\"6fafede\" data-element_type=\"column\" data-settings='{\"background_background\":\"classic\"}'>\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-adae672 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"adae672\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-af517ad\" data-id=\"af517ad\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5726eca elementor-widget elementor-widget-image\" data-id=\"5726eca\" data-element_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=\"300\" height=\"273\" src=\"https:\/\/boyanmfg.com\/wp-content\/uploads\/2019\/04\/plastic-gear-with-spline-shaft.png\" class=\"attachment-large size-large wp-image-4622\" alt=\"engrenagem de pl\u00e1stico com veio estriado\">\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<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-67cd013\" data-id=\"67cd013\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7569708 elementor-widget elementor-widget-heading\" data-id=\"7569708\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"If_youre_looking_for_plastic_gear_solutions_we_might_be_able_to_assist_Let_us_know_how_we_can_help\"><\/span>Se est\u00e1 \u00e0 procura de solu\u00e7\u00f5es para engrenagens de pl\u00e1stico, talvez possamos ajud\u00e1-lo. Diga-nos como o podemos ajudar.<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-0c88463\" data-id=\"0c88463\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7d53280 elementor-align-center elementor-mobile-align-justify elementor-widget elementor-widget-button\" data-id=\"7d53280\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"http:\/\/boyanmfg.com\/enquiry-plastic-injection-molding\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pedir um or\u00e7amento<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\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<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Medi\u00e7\u00e3o do Comprimento da Normal Comum nos M\u00e9todos de Inspe\u00e7\u00e3o de Engrenagens Ao discutir m\u00e9todos de inspe\u00e7\u00e3o de engrenagens, a medi\u00e7\u00e3o do comprimento da linha normal comum apresenta uma t\u00e9cnica simples e econ\u00f3mica amplamente utilizada na produ\u00e7\u00e3o de engrenagens e inspe\u00e7\u00f5es de engenharia reversa. Este m\u00e9todo, em compara\u00e7\u00e3o com a medi\u00e7\u00e3o tradicional da espessura individual dos dentes, n\u00e3o s\u00f3 simplifica a opera\u00e7\u00e3o como tamb\u00e9m\u2026&nbsp;<a href=\"https:\/\/boyanmfg.com\/pt\/insights-gear-common-normal-involute-line\/\" rel=\"bookmark\">Ler mais \u00bb<span class=\"screen-reader-text\">Explorando a Normal Comum das Engrenagens: Perspectivas sobre a Mec\u00e2nica da Linha Involuta<\/span><\/a><\/p>","protected":false},"author":1,"featured_media":8058,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"on","neve_meta_content_width":93,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","neve_meta_reading_time":"","_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[55],"tags":[],"class_list":["post-8014","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-manufacturing-knowledge"],"acf":[],"_links":{"self":[{"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/posts\/8014","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/comments?post=8014"}],"version-history":[{"count":0,"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/posts\/8014\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/media\/8058"}],"wp:attachment":[{"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/media?parent=8014"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/categories?post=8014"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/boyanmfg.com\/pt\/wp-json\/wp\/v2\/tags?post=8014"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}