{"id":9851,"date":"2018-03-08T10:40:03","date_gmt":"2018-03-08T10:40:03","guid":{"rendered":"https:\/\/www.scsconcept.com\/?p=9851"},"modified":"2018-03-17T16:41:17","modified_gmt":"2018-03-17T16:41:17","slug":"controle-estatistico-de-processos","status":"publish","type":"post","link":"https:\/\/sitowebsmart.com\/pt-br\/controle-estatistico-de-processos\/","title":{"rendered":"Controle estat\u00edstico de processos"},"content":{"rendered":"<h2 class=\"widget-title\" style=\"font-size: 26px;\">Exemplo automotivo<\/h2>\n<p><strong>O que \u00e9 o controle estat\u00edstico de processos?<\/strong><\/p>\n<p>O controle estat\u00edstico de processos consiste de um conjunto de testes estat\u00edsticos realizados em um processo (por exemplo, uma linha de produ\u00e7\u00e3o). A meta \u00e9:<\/p>\n<ul>\n<li>Manter sob controle a qualidade de um processo<\/li>\n<li>Evitar erros<\/li>\n<li>Reduzir custos por problemas que ocorrem nas unidades vindas de um processo (ou uma linha de produ\u00e7\u00e3o)<\/li>\n<\/ul>\n<p>T\u00e9cnicas SPC avaliam a variabilidade de um processo, para identificar a probabilidade de n\u00e3o conformidades.<\/p>\n<p><em>Exemplo:<\/em><\/p>\n<p><em>Uma linha de produ\u00e7\u00e3o de ve\u00edculos tem parafusos cr\u00edticos, apertados por apertadeiras (ferramentas el\u00e9tricas, pneum\u00e1ticas, chaves). Um processo de aperto adequado \u00e9 vital para assegurar a qualidade dos ve\u00edculos.<\/em><\/p>\n<p><em>Com milhares de parafusos a ser apertados a cada dia, como a qualidade pode ser assegurada?<\/em><\/p>\n<p><em><img  title=\"Controle estat\u00edstico de processos\" fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-10735\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Problema-na-linha-de-produca\u0303o-de-controle-estatistico-de-processos-279x295.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"465\" height=\"492\" \/><img  title=\"Controle estat\u00edstico de processos\" class=\"aligncenter wp-image-3366 size-full\"  alt=\"Controle estat\u00edstico de processos\"  width=\"464\" height=\"476\" \/>No caso de um erro, como podemos saber o que aconteceu nos ve\u00edculos j\u00e1 produzidos?<br \/>\n<\/em><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h2 class=\"widget-title\" style=\"font-size: 26px;\">Capabilidade da m\u00e1quina (Cm, Cmk) e capabilidade do processo (Cp, Cpk)<\/h2>\n<ul>\n<li><strong>Cm e Cp<\/strong><\/li>\n<\/ul>\n<p>O \u00edndice Cm \u00e9 a capacidade da m\u00e1quina; \u00e9 o n\u00famero de vezes em que o espalhamento da m\u00e1quina se encaixa dentro da toler\u00e2ncia. Quanto maior o valor de Cm, melhor \u00e9 a m\u00e1quina.<\/p>\n<p>O Cp tem o mesmo significado, mas \u00e9 aplicado em um processo ao inv\u00e9s de uma m\u00e1quina.<\/p>\n<p><img  title=\"Controle estat\u00edstico de processos\" decoding=\"async\" class=\"wp-image-10741 size-full aligncenter\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-capacidade-da-maquina-Cm.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"633\" height=\"368\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-capacidade-da-maquina-Cm.jpg 633w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-capacidade-da-maquina-Cm-300x174.jpg 300w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>O Cm e Cp descreve a repetibilidade de uma m\u00e1quina ou processo para uma dada classe de toler\u00e2ncia, independentemente do fato que eles s\u00e3o centralizados no valor alvo.<\/p>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-10753 size-full aligncenter\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cm.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"890\" height=\"160\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cm.jpg 890w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cm-300x54.jpg 300w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cm-768x138.jpg 768w\" sizes=\"(max-width: 890px) 100vw, 890px\" \/><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong>Cmk\u00a0e Cpk<\/strong><\/li>\n<\/ul>\n<p>Para estudar a posi\u00e7\u00e3o da capacidade da m\u00e1quina ou processo em rela\u00e7\u00e3o ao valor alvo, usa-se o \u00edndice Cmk ou Cpk, que avalia a capacidade correta para a posi\u00e7\u00e3o.<\/p>\n<p>Um \u00edndice Cmk alto significa que a m\u00e1quina ou processo tem um espalhamento pequeno em rela\u00e7\u00e3o \u00e0 faixa de toler\u00e2ncia, e \u00e9 bem centralizado dentro dessa faixa.<\/p>\n<p><strong><br \/>\n<img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-10759 size-full aligncenter\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-capacidade-da-maquina-Cm-Cmk.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"717\" height=\"356\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-capacidade-da-maquina-Cm-Cmk.jpg 717w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-capacidade-da-maquina-Cm-Cmk-300x149.jpg 300w\" sizes=\"(max-width: 717px) 100vw, 717px\" \/><br \/>\n<img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-10765 size-full aligncenter\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cmk.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"898\" height=\"154\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cmk.jpg 898w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cmk-300x51.jpg 300w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/cmk-768x132.jpg 768w\" sizes=\"(max-width: 898px) 100vw, 898px\" \/><\/strong><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong>Interpreta\u00e7\u00e3o do Cm, Cmk\u00a0e Cp, Cpk<\/strong><\/li>\n<\/ul>\n<p>Um bom Cm ou Cp \u00e9 fundamental para a m\u00e1quina ou processo. Se o Cm ou Cp tem um valor baixo, a \u00fanica maneira de aceit\u00e1-lo sem reparar a m\u00e1quina ou processo \u00e9 tornar mais amplo o intervalo de toler\u00e2ncia:<\/p>\n<p>&nbsp;<\/p>\n<p><strong><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-10771 size-full aligncenter\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-Cm-e-limites-de-tolerancia-465x230.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"465\" height=\"230\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-Cm-e-limites-de-tolerancia-465x230.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-Cm-e-limites-de-tolerancia-465x230-300x148.jpg 300w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><\/strong><\/p>\n<p>Se o Cmk \u00e9 baixo, mas o Cm \u00e9 alto, a m\u00e1quina ou processo pode estar dentro de sua especifica\u00e7\u00e3o com uma simples recalibra\u00e7\u00e3o:<\/p>\n<p>&nbsp;<\/p>\n<p><strong><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-10777 size-full aligncenter\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-problema-465x200.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"465\" height=\"200\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-problema-465x200.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-problema-465x200-300x129.jpg 300w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><\/strong><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong>Exemplo de medi\u00e7\u00e3o do Cm, Cmk\u00a0e Cp, Cpk<\/strong><\/li>\n<\/ul>\n<p>O fabricante de ve\u00edculos decide monitorar os \u00edndices Cm, Cmk e Cp, Cpk em suas linhas de produ\u00e7\u00e3o.<\/p>\n<p>Medir o Cm, Cmk significa testar o par\u00e2metro de aperto (torque e \u00e2ngulo) de todas as ferramentas de montagem:<\/p>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10783\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-medida-de-Cm-Cmk-1-465x216.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"232\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-medida-de-Cm-Cmk-1-465x216.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-medida-de-Cm-Cmk-1-465x216-300x139.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Medir o Cp, Cpk significa testar o resultado do processo, no caso do torque residual no aperto da junta pela ferramenta de montagem:<\/p>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10789\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-medida-de-Cp-Cpk-1-465x188.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"202\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-medida-de-Cp-Cpk-1-465x188.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-medida-de-Cp-Cpk-1-465x188-300x121.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<hr \/>\n<p><strong>\u00a0<\/strong><\/p>\n<h2 class=\"widget-title\" style=\"font-size: 26px;\">Gr\u00e1ficos de controle (X, R)<\/h2>\n<p>A medi\u00e7\u00e3o de Cm\/Cmk e Cp\/Cpk algumas vezes exige muito tempo para ser executada diariamente em uma linha de produ\u00e7\u00e3o.<\/p>\n<p>Outra ferramenta poderosa de controle estat\u00edstico de processos \u00e9 construir gr\u00e1ficos de controle, baseados nos testes frequentes em alguns itens de produ\u00e7\u00e3o. Dessa forma, o teste pode ser realizado n\u00e3o perturbando a linha de produ\u00e7\u00e3o, criando gr\u00e1ficos dia a dia para monitorar o processo e evitar erros antes que ocorram.<\/p>\n<p>Tipicamente, cada conjunto \u00e9 composto por 3 a 10 testes. Para cada conjunto, os pontos de m\u00e9dia (X) e o intervalo (R) s\u00e3o registrados nos gr\u00e1ficos de controle:<\/p>\n<p style=\"text-align: justify;\"><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10795\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-graficos-X-e-R-377x295.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"391\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-graficos-X-e-R-377x295.jpg 377w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-graficos-X-e-R-377x295-300x235.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10801\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Alcance-maximo-465x77-1.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"83\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Alcance-maximo-465x77-1.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Alcance-maximo-465x77-1-300x50.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" class=\"wp-image-3340 size-full aligncenter\"  alt=\"Controle estat\u00edstico de processos\"  width=\"640\" height=\"69\" \/><\/p>\n<p>Onde D2 \u00e9 um coeficiente dependendo do n\u00famero de amostras para cada conjunto de testes.<\/p>\n<p>Os gr\u00e1ficos de controle fornecem uma imagem da m\u00e1quina ou tend\u00eancia do processo. A m\u00e1quina ou processo pode ser inspecionado\/ajustado antes que fique fora de controle. No exemplo a seguir, a m\u00e1quina ou processo est\u00e1 ainda na especifica\u00e7\u00e3o, mas est\u00e1 saindo do controle:<\/p>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10807\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-monitor-de-graficos-X-465x261.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"281\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-monitor-de-graficos-X-465x261.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-monitor-de-graficos-X-465x261-300x168.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h2 class=\"widget-title\" style=\"font-size: 26px;\">Exemplo de implementa\u00e7\u00e3o de controle estat\u00edstico de processos<\/h2>\n<p>Um fabricante de ve\u00edculos decide implementar o SPC em sua linha de produ\u00e7\u00e3o.<\/p>\n<ul>\n<li>Antes de adicionar uma nova ferramentas de aperto \u00e0 linha de produ\u00e7\u00e3o, e ent\u00e3o a cada m\u00eas, o teste de Cm-Cmk \u00e9 executado na ferramenta:<\/li>\n<\/ul>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10813\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-implementacao-de-Cm-Cmk-341x295.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"433\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-implementacao-de-Cm-Cmk-341x295.jpg 341w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-implementacao-de-Cm-Cmk-341x295-300x260.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<ul>\n<li>A cada dia, a ferramenta \u00e9 removida por alguns segundos da linha, e \u00e9 verificada atrav\u00e9s de um testes de controle estat\u00edstico, para criar gr\u00e1ficos X, R:<\/li>\n<\/ul>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10819\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-implementac\u0327a\u0303o-de-graficos-X-e-R-465x277.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"298\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-implementac\u0327a\u0303o-de-graficos-X-e-R-465x277.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-implementac\u0327a\u0303o-de-graficos-X-e-R-465x277-300x179.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<ul>\n<li>A cada dia, testes de torque residual s\u00e3o executados no final da linha de produ\u00e7\u00e3o, para verificar o processo (usando Cp-Cpk e\/ou gr\u00e1ficos X, R):<\/li>\n<\/ul>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10825\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatiostico-de-processos-implementacao-de-Cp-Cpk-465x260.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"280\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatiostico-de-processos-implementacao-de-Cp-Cpk-465x260.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatiostico-de-processos-implementacao-de-Cp-Cpk-465x260-300x168.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Todos os resultados dos gr\u00e1ficos Cm-Cmk, Cp-Cpk, X, R s\u00e3o armazenados em um banco de dados para an\u00e1lise, rastreabilidade e relat\u00f3rios:<\/li>\n<\/ul>\n<p><img  title=\"Controle estat\u00edstico de processos\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-10831\" src=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-estatistica-465x286.jpg\"  alt=\"Controle estat\u00edstico de processos\"  width=\"500\" height=\"308\" srcset=\"https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-estatistica-465x286.jpg 465w, https:\/\/sitowebsmart.com\/wp-content\/uploads\/2018\/03\/Controle-estatistico-de-processos-estatistica-465x286-300x185.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Il Controllo Statistico di Processo (SPC) consiste in un set di test statistici eseguiti su un processo (ad esempio una linea di produzione).<\/p>\n","protected":false},"author":5,"featured_media":15306,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[137],"tags":[351],"class_list":["post-9851","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-recursos-tecnicos-pt-br","tag-quality-control-pt-br"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Controle estat\u00edstico de processos - SCS Concept<\/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:\/\/sitowebsmart.com\/pt-br\/controle-estatistico-de-processos\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" 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