Exercicios - Geometria Descritiva - Reta

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GEOMETRIA DESCRITIVA UNIDADE 01

GEOMETRIA DESCRITIVA

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PLANO DE PROJEO

PHA ( ) _______________________PHP ( ) _______________________ I DIEDRO: _____________________PVS ( ) _______________________ II DIEDRO: ____________________PVI ( ) ________________________ III DIEDRO: ____________________LT ( ) ______________________ IV DIEDRO: ____________________


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Linha Terra ( LT ) _____________________________________________________________________________________________________________________________

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ngulo Diedro ________________________________________________________________________________________________________________________________

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PURA______________________________________________________________________

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PLANIFICAO DO SISTEMA


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ESTUDO DO PONTO

Um ponto pode ser representado por suas coordenadas descritas.A (X, Y, Z) sendo: X - ______________________________

Y - ______________________________Z - ______________________________

ABISCISSA:______________________________________________________________________

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AFASTAMENTO:

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COTA:______________________________________________________________________

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POSIES DE UM PONTO:

Exerccios:A (3,2,3) B (2,2,3) C (2,0,2) D (0,2,1) E (2,0,0) F (2,2,0)


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ESTUDO DA RETA______________________________________________________________________________

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REPRESENTAO DA RETA

Exerccios:

1)A (3,2,3)B (2,2,3)

2)C (2,2,3)D (2,1,3)

3)E (3,2,3)F (1,4,3)

4)G (2,3,2)

H (2,3,3)

5)I (4,2,3)

J (2,2,4)

6)L (3,3,1)

M (3,1,3)

Representao Plana

Representao Espacial

Representao em pura


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POSIES DA RETA

- Em relao a um plano:__________________________________________________________________________________________________________________________________________________________

A)_____________________________________________________________________B)_____________________________________________________________________C)_____________________________________________________________________

- Em relao aos planos de projeo:__________________________________________________________________________________________________________________________________________________________

1- Fronto-horizontal2- Reta horizontal (Reta de nvel)3- Reta frontal ou Reta de frente4- Reta de topo5- Reta vertical6- Reta de perfil7- Reta oblqua (Reta genrica ou Reta qualquer)


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1- Fronto-horizontal ou reta paralela linha de terra

Caractersticas:____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao em pura:A (4,2,3) B (1,2,3)

Trao de uma reta:_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


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2- Reta Horizontal (Reta de nvel)

Caractersticas:______________________________________________________________________

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Representao espacial e em pura:A (4,1,2) B (1,4,2)

3- Reta frontal ou reta de frente

Caractersticas:____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao espacial e em pura:

A (4,2,1) B (1,2,4)


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4- Reta de topo

Caractersticas:____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


5- Reta vertical

Caractersticas:____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



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6- Reta de perfil

Caractersticas:___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao em pura:A (3,4,1) B (3,1,4)A (3,1,3) B (3,4,4)


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7- Reta oblqua (reta genrica ou reta qualquer)

Caractersticas:

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RESUMO

Representao da reta em pura, no I DIEDRO


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POSIO RELATIVA DE DUAS RETAS

Duas retas no espao podem ser:1) Retas Coplanares:paralelas e concorrentes.2) Retas no-coplanares:reversas e reversas ortogonais.

RETAS PARALELASDuas retas so paralelas quando satisfazem as seguintes condies.

1- Quando as projees do mesmo nome se apresentam paralelas.

A (4,3,3) B (1,1,1)

C (4,2,4) D (1,0,2)

2-Quando as projees do mesmo nome so paralelas em um plano ecoincidentes em outro.

A (4,4,4) B (1,1,1)C (4,4,3) D (1,1,0)


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3-Quando as projees do mesmo nome so paralelas em um plano eacumuladas em outro.

A (4,4,4) B (4,1,4)C (2,4,3) D (2,1,3)

RETAS CONCORRENTESSo retas que esto contidas no mesmo plano e possuem um ponto em comum.

1- Quando as projees do mesmo nome se cortam, e as projees deste

ponto de interseo pertencem a mesma linha de chamada.

A (4,2,3) B (1,2,3)C (3,1,2) D (2,3,4)


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2- Quando as projees do mesmo nome so concorrentes e as do outroplano coincidentes.

A (4,2,3) B (1,2,3)C (4,1,3) D (1,4,3)

3- Quando as projees do mesmo nome so concorrentes e as do outrocoincidentes, sendo que uma delas PA.* As retas concorrentes podem ser perpendiculares ou oblquas.

A (1,3,3) B (3,1,1)C (2,2,1) D (2,2,4)


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RETAS REVERSASSo retas que esto contidas em planos diferentes e fazem entre si um nguloqualquer.

A (3,3,1) B (1,1,3)C (3,1,2) D (1,2,1)

RETAS ORTOGONAISSo retas reversas que fazem entre si um ngulo de 90.

A (5,3,4) B (2,3,4)C (4,4,3) D (4,4,5)


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PARALELISMO DE RETAS DE PERFIL

feita por intermdio do .

A (4,1,4) B (4,4,1) A (4,1,4) B (4,4,1)C (2,3,1) D (2,2,1) C (2,3,1) D (2,2,4)

RETAS COINCIDENTESSo retas que possuem todos os pontos em comum.

A (4,3,2) B (5,2,4)C (4,3,2) D (5,2,4)


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SLIDOS GEOMTRICOS NO 1 DIEDRO


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-Vista de frente ou frontal-Vista de cima ou superior-Vista lateral ou esquerda

Vistas ortogrficas principais

Projeo do slidono 1 Diedro

pura


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*Aps a definio das vistas as linhas auxiliares so eliminadas.

* * * * * * * * *

Vista Lateral Esquerda Vista Superior

Vista Frontal


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DESENHO PROJETIVO APLICADO NO DESENHO TCNICO

Seis vistas ortogrficas

Principais: Frontal, Superior e Lateral esquerda.

Auxiliares (em objetos complexos): Posterior, Inferior e Lateral direita.

O desenho tcnico desenvolvido apenas no 1 ou 3 diedro.

1 DiedroSistema europeu de projeo.3 Diedr oSistema americano de projeo.


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Leitura e interpretao: LINHAS

Linha para contorno de arestas visveis:

Linha para contorno de arestas no visveis:

Linha de centro:


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Exemplos:

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CORTE PLENO OU TOTAL

Corte significa diviso, separao.

Permite ver as partes internas da pea.Atinge a pea em toda a sua extenso.

Pode ser Vertical e Horizontal

PLANO DE CORTE VERTICAL


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PLANO DE CORTE HORIZONTAL


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INFORMAES E SIMBOLOGIAS

-A expresso corte AA colocada embaixo da vista hachurada.-As vistas no atingidas pelo corte permanecem com todas as linhas.-Na vista hachurada, as tracejadas podem ser omitidas, desde que no dificulte aleitura do desenho.


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REPRESENTAO DE CORTES

REPRESENTAO DE CORTES

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Exercicios - Geometria Descritiva - Reta