Gd vol 2 - cap 3 - rebatimento
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Transcript of Gd vol 2 - cap 3 - rebatimento
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Prof. Marcelo Gitirana (Design – UDESC)
Geometria Descritiva MÉTODOS DESCRITIVOS
Prof. Marcelo Gitirana
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Prof. Marcelo Gitirana (Design – UDESC)
SumárioMudança de planos
Estudo do ponto
Estudo da reta
Estudo do plano
Rotação
Estudo do ponto
Estudo da reta
Estudo do plano
Rebatimento
Estudo do ponto
Estudo da reta
Estudo do plano
Porções úteis de um plano
Alçamento
Projeções de figuras planas
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoIntrodução
()
()
(R)
(S)
(A)
AB
(A1)
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoEstudo do Ponto
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoRegra do Triângulo Retângulo
“O rebatimento de um ponto em torno de uma horizontal, situa-se sobre a
perpendicular traçada da projeção horizontal do ponto à projeção horizontal
da charneira e a uma distância desta igual ao raio de rebatimento. O raio de rebatimento é a hipotenusa de um
triângulo retângulo cujos catetos são a cota do ponto e a perpendicular traçada da
projeção horizontal do ponto à projeção horizontal da charneira”.
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Prof. Marcelo Gitirana (Design – UDESC)
Exemplo (Épura)
A
A’
r
r’
d
A
d
H
(A)1
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Prof. Marcelo Gitirana (Design – UDESC)
Projeção Horizontal sobre Charneira
A
A’
r
r’
(A)1
d
d
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento sobre um Plano Paralelo ao Plano ()
A
A’
r
r’
d
A
d
H
(A)1
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento sobre o Plano (’)
A’
A
r
r’
A’
d
d
H
(A)1
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoEstudo da Reta
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento de uma Reta Qualquer
r
r’
H
B
A
d
d
(A)1
(B)1
A charneira sendo coplanar com a reta
(A)(B)
H’
A
A’
B’
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Prof. Marcelo Gitirana (Design – UDESC)
Charneira Passando sobre a Projeção da Reta
H’
H
r
r’
A
A’
B’
B
d2
d2
(B)1
d1
d1
(A)1
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento sobre um Plano Paralelo a ()
B’
A’
B
A
r
r’
d
d
B
H
(B)1
(A)1
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Prof. Marcelo Gitirana (Design – UDESC)
r
r’ H’
Se Não Houver um Pt. Comum à Reta e à Charneira...
A
A’
B’
H
B
A
d
d
(A)1
(B)1
Exerc.: 78, 81 e
82
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoEstudo do Plano
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento de uma Figura Plana
r
r’
A
A’
B’
B
C’
C
H’ H’1
H
H1
B
(B)1
(C)1
(A)1
VG
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Prof. Marcelo Gitirana (Design – UDESC)
(’)1
Rebatimento de um Plano em
’
M’
M
M
(M)1
o
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Prof. Marcelo Gitirana (Design – UDESC)
(’)1
Rebatimento de um Ponto (A) de () em
’
M’
M
o
A
A’
r
r'
(A)1
(M)1
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento de um Plano em ’
’
oM’
M
(M)1
()1
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento de um Plano de Topo em
’
M’
M
(M)1
o(’)1’
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento de um Plano Vertical em
’
o
M’
M
(M)1
(’)1
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Prof. Marcelo Gitirana (Design – UDESC)
Rebatimento de um Plano Paralelo à LT
M’
M
’
H
M’1
(M)1
(’)1
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoPorções Úteis do Plano
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Prof. Marcelo Gitirana (Design – UDESC)
Porções Úteis1 Diedro
’
V’
V
(’)1
o
(V)1 1
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Prof. Marcelo Gitirana (Design – UDESC)
Porções ÚteisDemais Diedros
’
V’
V
(’)1
o
(V)1 1
2
3
4
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoAlçamento
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Prof. Marcelo Gitirana (Design – UDESC)
Alçamento dePlano Projetado em
’
(’)1
o
(M)1
V
H
M
V’
(A)1
A
r
r' A’
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Prof. Marcelo Gitirana (Design – UDESC)
RebatimentoProjeções de fig. planas
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Prof. Marcelo Gitirana (Design – UDESC)
VG de uma Figura PlanaSituada em um Plano de Topo
’
o
A’
B’
C’
A
B
C
(’)1
(A)1
(B)1
(C)1
VG
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Prof. Marcelo Gitirana (Design – UDESC)
VG de uma Figura PlanaSituada em um Plano de Perfil
’
A’
B’
C’
B
A
C
(’)1
(A)1
(C)1
(B)1
VG
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Prof. Marcelo Gitirana (Design – UDESC)
VG de uma Figura PlanaSituada em um Plano // à LT
’
A’
C’B’
A
CB
V1’V’
H1
H1’
H
H’V1
V
(’)1
(B)1
(A)1
(A)1VG
Exerc.: 84, 87 e
91
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Prof. Marcelo Gitirana (Design – UDESC)
Fim