Metrologia
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Metrologia ©SENAI-SP, 2007
2ª Edição, atualização para adaptar a nova editoração do SENAI-SP, 2007; formatação das folhas, tabelas e figuras; inclusão de novos exercícios. Trabalho editorado pela Escola SENAI “Gaspar Ricardo Junior”, Núcleo da Educação Continuada Escola. Diretor
Jocilei Oliveira
Coordenação Helio Antonio Massagardi Atualização Editoração Correção
Jaime Tadeu Zoppi Julio Rafael Corrêa da Silva
1ª Edição. Elaboração, 2006. Trabalho elaborado e editorado pela Escola SENAI “Gaspar Ricardo Junior”, Núcleo da Educação Continuada Escola. Diretor: Coordenação:
Fernando Manoel Gonçalves Helio Antonio Massagardi
Elaboração:
Nilson Ribeiro Rosa
Editoração:
Julio Rafael Corrêa da Silva
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SENAI Serviço Nacional de Aprendizagem Industrial Escola SENAI “Gaspar Ricardo Júnior” Praça Roberto Mange, 30 - Santa Rosália CEP 18090-110 - Sorocaba - SP Telefone (0XX15) (0XX15) 3233-5144 Fax (0XX15) 3233-5144 ramais 215 / 219 SENAI on-line 0800-55-1000 0800-55-1000 E-mail
[email protected] Home page www.sp.senai.br
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Metrologia
Sumário
Metrologia
7
Medidas lineares
15
Régua graduada
31
Paquímetro
43
Micrometro
69
Micrômetros internos
85
Tolerância Dimensional
91
Relógio Comparador
127
Medidas Angulares
147
Goniômetro
157
Calibradores
163
Referências Bibliográficas
173
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Metrologia
Metrologia
Metrologia e indústria
Toda organização comercial, industrial ou de prestação de serviços tem sua sobrevivência ligada à qualidade de seus produtos. Esta dependência é cada vez maior devido ao crescente número de concorrentes e nível de exigência dos consumidores consumidores (consumidor mal atendido pode se dirigir a outro fornecedor). Como toda empresa além de sua sobrevivência quer garantir uma posição de destaque no mercado, ela terá que investir em tecnologia e no envolvimento dos trabalhadores no aperfeiçoamento do processo produtivo. Esses dois fatores formam o controle da qualidade, que tem por finalidade aumentar a produção e baixar os custos, sem comprometer a qualidade dos produtos. É que o controle da qualidade, ao contrário da inspeção, age sobre a totalidade do processo produtivo para prevenir a ocorrência de defeitos (e não apenas separar as peças boas das ruins no final da fabricação). De acordo com a norma DIN 55350/11, “qualidade é caracterizada pelas condições de uma unidade, com relação à sua aptidão para satisfazer necessidades necessidades definidas e pressupostas”. A qualidade manifesta-se em características que podem ser: Propriedades Propriedades físicas; Propriedades Propriedades químicas; •
•
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Metrologia
O controle de medidas consiste na aplicação de processos que permitam manter os erros de fabricação dentro de limites aceitáveis, previamente estabelecidos e que recebem o nome de tolerância. Portanto, no controle de medidas torna-se necessário conhecer: O que é medir por comparação direta (com instrumentos de medida); O que é medir por comparação indireta (com instrumentos de verificação); Instrumentos de medida e seu uso; Conceito de tolerância e sua aplicação no projeto e na fabricação; Instrumentos de verificação. •
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Medição
Toda medição é feita comparando-se uma grandeza com outra de mesma espécie, considerada como unidade. Se o comprimento de um corredor é igual a três metros, é porque nele a unidade de comprimento metro cabe três vezes. Seguindo o mesmo procedimento, procedimento, para medir uma superfície temos de usar unidades de área (cm 2, m2, etc.); por sua vez, o volume de um corpo é determinado pelas unidades de volume (m 3, cm3, litros, etc.) e assim por diante. Cada grandeza é medida com unidades apropriadas dessa mesma grandeza. Não é possível medir comprimento em litros.
Unidades
As unidades estabelecidas para medir uma determinada grandeza são fixadas por definição. Não dependem de quaisquer condições físicas, como temperatura, pressão, grau de umidade, etc.
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Metrologia
Por isso, os padrões só expressam, com rigor, a unidade que representam se estiverem dentro de condições específicas. Até 1960, o metro padrão era uma barra de platina e irídio, que sofria uma dilatação muito pequena com a variação da temperatura. Nesse protótipo, conservado em Sèvres, na França, o metro é determinado pela distância entre dois traços nessa barra, na temperatura de zero grau Celsius. No Brasil vigora outro padrão para o metro, estabelecido estabelecido pelo INMETRO (Instituto Nacional de Metrologia, Normalização e Qualidade Industrial), órgão brasileiro de normalização. Esse padrão está baseado na velocidade da luz e será explicado no próximo capítulo.
Princípios básicos de controle
O sucessivo aumento de produção e a melhoria da qualidade requerem um desenvolvimento desenvolvimento e um aperfeiçoamento contínuo da técnica de medição. Quanto maiores as exigências de qualidade e rendimento, maiores serão as necessidades necessidades de aparatos, instrumentos de medição e profissionais habilitados. habilitados. Quando efetuamos uma medida qualquer, é preciso considerar três elementos fundamentais: o método, o instrumento de medição e o operador.
Método
A medição pode ser direta ou indireta por comparação. A medição direta é feita mediante instrumentos, aparelhos e máquinas de medir.
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Metrologia
Emprega-se a medição direta na confecção de peças-protótipo, isto é, peças originais que se utilizam como referência ou ainda em produção de pequena quantidade de peças. A medição indireta por comparação consiste em confrontar a peça que se quer medir com aquela de padrão ou dimensão aproximada. Assim, um eixo pode ser controlado, por medida indireta, utilizando-se um calibrador para eixos. Um calibrador para eixos, tipo boca fixa, possui duas bocas. O eixo a ser medido deve passar pela boca maior, ou seja, pelo lado "passa", mas não pode passar pela boca menor (que é o lado "não passa", pintado de vermelho).
Calibrador para eixo “passa não passa” de boca fixa
Outro calibrador do tipo "passa não passa" é o tampão para furos, em que o lado "não passa" é o mais curto. Seu funcionamento é semelhante ao do calibrador fixo para eixos.
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Metrologia
O relógio comparador é um instrumento comum de medição por comparação. As diferenças percebidas nele pelo apalpador são amplificadas mecanicamente e vão movimentar movimentar o ponteiro rotativo dianteiro da escala.
Relógio comparador
Instrumento de medição
Para se ter uma medida precisa, é indispensável que o instrumento corresponda ao padrão adotado. É necessário, também, que ele possibilite executar a medida com a tolerância exigida. Em suma, a medição correta depende da qualidade do instrumento
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Metrologia
Laboratório de metrologia.
Tanto as medidas como os padrões de medida estão sujeitos às variações de temperatura, pressão, etc. Por isso, para medidas de alta precisão, faz-se necessária uma climatização do local. O laboratório de metrologia deve, portanto, satisfazer às seguintes exigências: Temperatura constante de 20 oC; Umidade relativa 55% Ausência de vibrações e oscilações; Espaço suficiente; Iluminação adequada e limpeza. A temperatura de aferição dos instrumentos destinados a verificar dimensões ou formas foi fixada em 20 oC pela Conferência Internacional do ex - comitê ISA. Essa deve ser a temperatura do laboratório, mas tolera-se a variação de mais ou menos 1oC. Daí a necessidade de o laboratório possuir reguladores de temperatura automáticos. A porcentagem da umidade relativa do ar não deve ultrapassar a 55%. A temperatura e a umidade do ar no laboratório deverão ser medidas por um termohidrômetro. Na falta de reguladores automáticos, usa - se o cloreto de cálcio industrial, que absorve uma pequena porcentagem de umidade do ar. As vibrações e oscilações são evitadas instalando as máquinas de medir ou aparelhos •
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Metrologia
No laboratório, o espaço deve ser suficiente para acomodar em armários todos os instrumentos e, ainda, proporcionar bem estar aos que nele trabalham. A iluminação deve ser uniforme, constante e disposta de maneira a evitar o ofuscamento. Nenhum dispositivo de precisão deve ficar exposto ao pó. Isso pode provocar desgastes e prejudicar as partes ópticas pelas constantes limpezas. O local de trabalho deve ser o mais limpo e organizado possível, evitando-se que as peças fiquem umas sobre as outras.
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Metrologia
Medidas lineares
Padrões O Homem, já nos tempos pré-históricos, deve ter sentido necessidade de avaliar o tamanho de uma árvore, de um animal abatido, de uma distância a ser percorrida, etc. Mais tarde passou a efetuar medidas utilizando, inicialmente, unidades naturais: pé, braço, passo, etc. Essas unidades davam origem a padrões que variavam de um local a outro. O desenvolvimento comercial aumentou o intercâmbio entre os povos e exigiu padrões mais objetivos e precisos. Padrões que reproduzissem unidades de valor fixo, conhecido e utilizado por todos.
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Metrologia
Estabeleceu-se, então, que a nova unidade deveria ser igual à décima milionésima parte de um quarto meridiano terrestre.
Globo terrestre destacando ¼ do meridiano
Essa nova unidade passou a ser chamada metro (o termo grego “metron" significa medir). Os astrônomos Delambre e Mechain foram incumbidos de medir o meridiano. Utilizando a toesa como unidade, mediram a distância entre Dunkerque e Montjuich, perto de Barcelona. Feitos os cálculos, chegou-se a uma distância que foi materializada materializada numa barra de platina de secção retangular de 25 x 4,05mm. O comprimento dessa barra era equivalente ao comprimento da unidade padrão metro,
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Metrologia
Estabeleceu-se, então, um prazo de dez anos para que os padrões antigos fossem inteiramente substituídos. Com exigências tecnológicas maiores, decorrentes do avanço científico, notou-se que o Metro dos Arquivos apresentava certo inconveniente. Por exemplo, o paralelismo das faces não era assim tão perfeito. O material, relativamente mole poderia se desgastar, e a barra também não era suficientemente rígida. Para aperfeiçoar o sistema, fez-se um outro padrão que recebeu: • Seção transversal em X, para ter maior estabilidade. Uma adição de 10% de irídio, para tornar seu material mais durável. • Dois traços em seu plano neutro, de forma a tornar a medida mais perfeita. perfeita. •
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Metrologia
Ocorreram, ainda, outras modificações. Hoje, o padrão do metro em vigor no Brasil é recomendado pelo INMETRO, baseado na velocidade da luz, de acordo com decisão da 17ª Conferência Geral dos Pesos e Medidas de 1983. O INMETRO, em sua resolução 3/84, assim definiu o metro: “Metro é o comprimento do trajeto percorrido pela luz no vácuo, durante o intervalo de tempo de
1 299.792.458
do segundo”.
É importante observar que todas essas definições somente estabeleceram com maior precisão o valor de uma mesma unidade: o metro.
Padrões do metro no Brasil
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Metrologia
Múltiplos e submúltiplos do metro NOME Exametro Peptametro Terametro Gigametro Megametro Quilômetro Hectômetro Decâmetro Metro Decímetro Centímetro
SÍMBOLO Em Pm Tm Gm Mm Km hm dam m dm cm
FATOR PELO QUAL A UNIDADE É MULTIPLICADA 1018 = 1 000 000 000 000 000 000m 1015 = 1 000 000 000 000 000m 1012 = 1 000 000 000 000m 109 = 1 000 000 000m 106 = 1 000 000m 103 = 1 000m 102 = l00m 101 = 10m 1 = 1m 10-1 = 0,1m 10-2 = 0,01m
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Metrologia
A polegada divide-se em frações ordinárias de denominadores iguais a: 2, 4, 8, 16, 32, 64, 128... Temos, então, as seguintes divisões da polegada: 1" 2
(meia polegada)
1" (um quarto de polegada) 4 1" 8 1"
(um oitavo de polegada)
16 1" 32 1" 64 1"
(um dezesseis avos de polegada) (um trinta e dois avos de polegada) (um sessenta e quatro avos de polegada) (um cento e vinte e oito avos de polegada)
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Metrologia
Exemplo: Exemplo: • 1,003" = 1 polegada e 3 milésimos 1,1247" = 1 polegada e 1 247 décimos de milésimos • .725" = 725 milésimos de polegada • Nas medições em que se requer mais precisão, utiliza-se a divisão de milionésimos de polegada, também chamada de micropolegada. Em inglês, “micro inch", representada por μ inch. Observação: Observação : Os valores em polegada decimais inferiores a uma polegada utilizam ponto no lugar da vírgula. vírgula. Exemplo: Exemplo: .001" = 1 milésimo de polegada • • .000 001" = 1 μinch .028" = 28 milésimos de polegada •
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Metrologia
Exemplo A: A: Converter 12,7mm em polegada fracionária
(12,7 ÷ 25,4)x128 128 64" 128
=
0,5x128 128
Simplificando Simplificando temos:
=
32" 64
=
16" 32
=
8" 16
=
4" 8
=
=
2" 4
64" 128 =
1" 2
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Metrologia
Observação: Observação :
O valor 5,04 foi encontrado pela relação
128 25,4
=
5,03937 ≅ 5,04 (arredondada na
segunda casa decimal é igual a 5,04.
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Metrologia
Exemplo A: A: Converter
3" em polegada decimal. 8
3" 8
= 3 ÷ 8 = .375"
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Metrologia
A equivalência equivalência entre os diversos sistemas de medidas, vistos até agora, pode ser mais bem compreendida graficamente:
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Metrologia
Regras de arredondamento (NBR 5891/77) Quando o algarismo imediatamente seguinte ao último algarismo a ser conservado é inferior a 5, o último algarismo a ser conservado permanecerá sem modificação. Exemplo: Exemplo: Se arredondarmos 1,34625 à terceira casa decimal teremos 1,346.
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Metrologia
Exercícios de conversão de medidas
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Metrologia
2) Converter as medidas em milímetro para polegada fracionária
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Metrologia
3) Converter polegada decimal em polegada fracionária
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Metrologia
5) Converter polegada decimal em milímetro
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Metrologia
Para maior segurança nas medições, as superfícies de medição das orelhas devem coincidir com a linha de centro do furo.
Deve-se tomar a máxima leitura para diâmetros internos e a mínima leitura para faces planas internas. Medidas de profundidade devem ser feitas apoiando o paquímetro corretamente
sobre a peça, evitando que ele fique inclinado.
Medidas de profundidade
Nas medidas de ressaltos, deve-se colocar a parte do paquímetro, apropriada para ressaltos, perpendicular perpendicular à superfície de referência da peça. Não se deve usar a vareta de profundidade para este tipo de medição.
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Metrologia
Conservação
• •
• • •
Manejar o paquímetro sempre com todo cuidado, evitando choques; Não deixar o paquímetro em contato com ferramentas, o que pode lhe causar danos; Evitar arranhaduras ou entalhes; isto pode prejudicar a graduação; Ao realizar a medição, não pressionar o cursor além do recomendado; Limpar e guardar o paquímetro em local apropriado, após sua utilização.
Exercícios
1 – Leia cada uma das medidas em polegada fracionária e escreva a medida na linha abaixo de cada desenho.
a) Leitura
b) Leitura
c) Leitura
d) Leitura
e) Leitura
f) Leitura
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Metrologia
Exercícios continuação.
i) Leitura
j) Leitura
k) Leitura
l) Leitura
m) Leitura
n) Leitura
o) Leitura
p) Leitura
2 – Leia cada uma das medidas em polegada decimal e escreva a medida na linha abaixo de cada desenho.
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Metrologia
Exercícios continuação.
c) Leitura =
d) Leitura =
e) Leitura =
f) Leitura =
g) Leitura =
h) Leitura =
i) Leitura =
j) Leitura =
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Metrologia
Exercícios de leitura de medida – Tabela 2
1 – Encontre as medidas do desenho e preencha a tabela abaixo
Peça A B C D E F G H I J K
1
2
3
4
5
6
7
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Metrologia
2 – Encontre as medidas do desenho e marque na tabela abaixo.
Unidade Milímetro Polegada ordinária Polegada decimal
A
B
C
D
E
F
G
H
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Metrologia
Micrômetro
Introdução
O micrômetro é um instrumento que possibilita medições medições mais rigorosas do que o paquímetro. O princípio de funcionamento do micrômetro é o sistema parafuso e porca. Assim, se em uma rosca fixa um parafuso der uma volta completa, haverá um deslocamento igual ao seu passo.
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Metrologia
Da mesma forma, dividindo a "cabeça" do parafuso pode-se avaliar rotações menores que uma volta e, com isso, medir comprimentos menores do que o passo do parafuso.
Divisões em partes iguais
A figura seguinte mostra os componentes de um micrômetro.
Componentes do micrômetro
1. 2. 3.
Arco plaqueta de isolamento térmico haste fixa
13. porca de regulagem 14. tambor de medição 15. parafuso de regulagem e fixação
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Metrologia
Vejamos as características dos principais componentes de um micrômetro •
•
•
•
• •
• •
O arco é constituído de aço especial tratado termicamente termicamente para eliminar as tensões. O protetor antitérmico, fixado ao arco, evita sua dilatação porque isola o calor das mãos. O parafuso micrométrico é construído com aço especial temperado e retificado para garantir alta precisão do passo da rosca. Os contatos tocam a peça a ser medida e, para isso, se apresentam rigorosamente planos e paralelos. Em alguns instrumentos, os contatos são de metal duro, de alta resistência ao desgaste. A porca de ajuste permite o ajuste micrométrico, quando isso é necessário. O tambor é onde se localiza a escala centesimal. Gira ligado ao parafuso micrométrico, portanto, a cada volta seu deslocamento é igual ao passo do parafuso micrométrico. A catraca ou fricção assegura uma pressão de medição constante. O fixador ou trava permite a fixação das medidas.
Tipos de micrômetros
Os micrômetros caracterizam-se pela: • • •
Capacidade; Aproximação de leitura; Aplicação.
Pela capacidade, os micrômetros variam de:
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Metrologia
Veja figura do micrômetro
Escala do micrômetro fechado
Pelas diferentes aplicações , temos os seguintes tipos de micrômetros: •
•
•
De profundidade: conforme a profundidade a ser medida, utilizam-se hastes de
extensão, que são fornecidas juntamente com o micrômetro; Com arco profundo: serve para medições de espessuras de bordas ou partes salientes das peças; Com disco nas hastes: o disco aumenta a área de contato possibilitando a medição de papel, cartolina, couro, borracha, pano, etc. Também é empregado para medir dentes de engrenagens;
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Metrologia
Cálculo da aproximação
Vejamos agora como se faz o cálculo da aproximação em um micrômetro. A cada volta do tambor, o parafuso micrométrico avança uma distância chamada passo que no sistema métrico é igual a 0,5 mm. A aproximação de uma medida tomada em um micrômetro corresponde ao menor deslocamento do seu parafuso, e é determinada dividindo-se o passo pelo número de divisões do tambor. Aproximaçã o =
passo da rosca do parafuso micrométri co número de divisões do tambor
Exemplo:
Se o passo da rosca é de 0,5mm e o tambor tem 50 divisões, a resolução será: 0,5 50
=
0,01mm
Assim, girando o tambor, cada divisão provocará um deslocamento de 0,01mm no encosto móvel.
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Metrologia
2) Verifica-se Verifica-se qual traço das divisões do tambor coincide com a reta de referência da
bainha.
17,00 mm ⇒ (escala dos milímetros da bainha + 0,50 mm ⇒ (escala dos meios milímetros da bainha 0,32 mm ⇒ (escala centesimal do tambor 17,82 mm ⇒ (Leitura total) Leitura no sistema métrico
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Metrologia
Exemplo:
A seguir, estão apresentadas as escalas cilíndricas do micrômetro, rebatidas no plano do papel.
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Metrologia
Exercícios de leitura de micrometro – 1 Nota:É importante que você aprenda a medir com o micrômetro. Para isso, leia as
medidas indicadas nas figuras.
a) leitura =
b) leitura =
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Metrologia
Exercícios continuação. continuação.
g) leitura =
h) leitura =
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Metrologia
Exercícios continuação.
m) leitura =
n) leitura =
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Metrologia
Assim a aproximação será:
a=
passo número divisão tambor
=
.025" = .001" 25
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Metrologia
Micrômetro com nônio
Para a leitura no micrômetro de 0.0001" , na bainha, além das graduações normais (40 divisões, portanto .025” por divisão), e um tambor com 25 divisões, há também um nônio com dez divisões. A aproximação do micrômetro é: Tambor → aproximação =
Passo .025" = = .001” 25 Nº de Divisões do Tambor
Nônio → aproximação =
Aproximaçã o do tambor .001" = = .0001” 10 Nº de Divisões do Noˆ nio
Para medir, basta somar as leituras da bainha, do tambor e do nônio.
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Metrologia
Para os micrômetros cuja capacidade é de 0 a 25mm, ou de 0 a 1", devem-se: •
•
Limpar os contatos e fechar o micrômetro com a catraca, até o funcionamento desta; Observar, em seguida, se o zero da bainha coincide com o zero do tambor.
Para aferir micrômetros de maior capacidade, ou seja, de 25 a 50mm, de 50 a 75mm, etc. ou de 1" a 2", de 2" a 3", etc., utiliza-se da barra-padrão. barra-padrão.
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Metrologia
Exercícios de leitura de micrometro – 2
1 – Escreva as medidas de cada ilustração a seguir:
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Metrologia
Exercícios de leitura de medida – Tabela 3
2– Encontre as medidas do desenho e complete a tabela abaixo
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Metrologia
Micrômetros internos
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Metrologia
Sua leitura é feita na escala da própria bainha graduada, no sentido contrário ao do micrômetro externo.
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Metrologia
A leitura do Tri-o-bor é feita através de um visor na bainha e no tambor graduado.
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Metrologia
Micrômetro tipo paquímetro paquímetro
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Metrologia
Exercícios continuação.
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Metrologia
Exercício 1 – Sistema de Tolerância ISO
Calcular para:
Fórmula
D. Máximo D. Mínimo A. Superior A. Inferior Tolerância D. Ideal Tipo de ajuste Folga máxima Folga mínima Folga ideal Interfer. máxima Interfer. mínima Interfer. Ideal
---------------------------------------------------
Furo 80 H7
Eixo 80 p6
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Metrologia
Exercícios 2 – Sistema de Tolerância ISO
Calcular para:
Fórmula
D. Máximo D. Mínimo A. Superior A. Inferior Tolerância D. Ideal Tipo de ajuste Folga máxima Folga mínima Folga ideal Interfer. máxima Interfer. mínima Interfer. Ideal
-----------------------------------------------------
Furo 70 H7
Eixo 70 j6
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Metrologia
Exercício 3 – Sistema de Tolerância ISO
Calcular para:
Fórmula
D. Máximo D. Mínimo A. Superior A. Inferior Tolerância D. Ideal Tipo de ajuste
-----------------------------------------------------
Furo 45 H7
Eixo 45 f7
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Metrologia
Exercício 3 – Folga e interferência
Folga máxima Folga mínima Folga ideal Interfer. máxima Interfer. mínima Interfer. Ideal
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Metrologia
Relógio comparador
Introdução
O relógio comparador é um instrumento de medição por comparação, dotado de uma escala e um ponteiro ligado por mecanismos diversos a uma ponta de contato. É um instrumento de controle dos mais sofisticados e de grande versatilidade. Medir a grandeza de uma peça por comparação é determinar a diferença da grandeza existente entre ela e um padrão de dimensão predeterminado. predeterminado. Daí originou-se o termo medição indireta.
Dimensão da peça = Dimensão do padrão ± diferença
Também se pode tomar como padrão uma peça original, de dimensões conhecidas, que é utilizada como referência.
Relógio comparador centesimal
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Metrologia
Se o ponteiro girar em sentido anti-horário, a diferença será negativa , ou seja, a peça apresenta menor dimensão que a estabelecida. Existem vários modelos de relógios comparadores. comparadores. Os mais utilizados possuem resolução de 0,01 mm. O curso do relógio também varia de acordo com o modelo, porém os mais comuns são de 1 mm, 10 mm, .250" ou 1".
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Metrologia
Caso apresentem um curso que implique mais de uma volta, os relógios comparadores possuem, além do ponteiro normal, outro ponteiro menor, denominado contador de voltas do ponteiro principal.
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Metrologia
As próximas figuras mostram esses dispositivos destinados à medição de profundidade e de espessuras de chapas.
Medidores de profundidade
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Metrologia
Os relógios comparadores também podem ser utilizados para furos. Uma das vantagens de seu emprego é a constatação, rápida e em qualquer ponto, da dimensão do diâmetro ou de defeitos, como conicidade, ovalização etc.
Medidor interno com relógio comparador comparador
Consiste basicamente num mecanismo que transforma o deslocamento radial de uma ponta de contato em movimento axial transmitido a um relógio comparador, no qual pode-se obter a leitura da dimensão. O instrumento deve ser previamente calibrado em relação a uma medida-padrão de referência. Esse dispositivo é conhecido como medidor interno com relógio comparador ou súbito.
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Metrologia
Exemplo de medição interna com relógio comparador
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Metrologia
Exemplo de relógio eletrônico
Relógio comparador eletrônico
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Metrologia
Na figura abaixo, exemplo de amplificação por engrenagens.
Amplificação por engrenagem
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Metrologia
Amplificação por alavanca
O princípio da alavanca aplica-se a aparelhos simples, chamados indicadores com alavancas, cuja capacidade de medição é limitada pela pequena amplitude do sistema basculante. Assim, temos:
Relação de amplificação =
compriment o do ponteiro (a) distaˆ ncia entre os cutelos (b)
Relação de amplificação
Durante a medição, a haste que suporta o cutelo móvel desliza, a despeito do esforço em contrário produzido pela mola de contato. O ponteiro-alavanca, mantido em contato com os dois cutelos pela mola de chamada, gira em frente à graduação. A figura abaixo representa a montagem clássica de um aparelho com capacidade de ± 0,06mm e leitura de 0,002mm por divisão.
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Metrologia
Amplificação mista
É o resultado da combinação entre alavanca e engrenagem. Permite levar a sensibilidade até 0,001mm, sem reduzir a capacidade de medição.
Condições de uso
Antes de medir uma peça, devemos nos certificar de que o relógio se encontra em boas condições de uso. A verificação de possíveis erros é feita da seguinte maneira: com o auxílio de um suporte de relógio, tomam-se as diversas medidas nos blocos-padões. Em seguida, deve-se observar se as medidas obtidas no relógio correspondem às dos blocos. São encontrados também calibradores específicos para relógios comparadores.
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Metrologia
Aplicações dos relógios comparadores comparadores Verificação de paralelismo
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Metrologia
Verificação Verificação de concentricidade
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Metrologia
Verificação de superfícies planas
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Metrologia
O mostrador é giratório com resolução de 0.01mm, 0.002mm, .001" ou .0001".
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Metrologia
Controles internos
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Metrologia
Condições de uso O relógio comparador tem que ser utilizado em comparações que tenham, no máximo, a metade de sua amplitude. A aferição do relógio é feita no início da comparação, girando-se o aro do mostrador até que o zero da escala periférica coincida com o ponteiro maior. O posicionamento correto do instrumento implica maior confiança na medida. A superfície por medir tem que estar limpa, pois, em caso contrário, trará resultado duvidoso.
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Metrologia
Exercícios continuação
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Metrologia •
2) O ponteiro do relógio comparador é ajustado ao zero da escala por meio de: a( ) Limitador de tolerância; tolerância ; b( ) Aro giratório; c( ) Ponta de contato; d( ) Alavanca. 3) Nos relógios comparadores comuns, cada volta completa do ponteiro equivale a 1mm. Como o mostrador tem 100 divisões, cada divisão vale em mm: a( ) 0,01;
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Metrologia
Nas ilustrações abaixo, a esquerda relógio no 3º traço e a direita relógio no 67º traço.
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Metrologia
Exercícios de leitura de relógio comparador em polegada
O início da seta no mostrador pequeno mostra a carga inicial ou de medição. Deve ser registrado o valor da variação e se a variação é negativa ou positiva.
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Metrologia
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Metrologia
Símbolos utilizados
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Metrologia
O ângulo reto padrão de extremidades é representado representado por um cilindro cil indro perfeito
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Metrologia
Ângulo raso
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Metrologia
Ângulos suplementares suplementares
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