Projection of solids

Feb 12, 2021Download as PPTX, PDF0 likes10 views

Engineering drawing is an complicated subject when it comes to projection of 3-D objects. Here is a small effort made to help the students.

Prepared by: Er. Vikrant
Engineering Design And
Graphics
Projection of Solids
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Prepared by: Er. Vikrant
Solids
• Solids of Revolution
Cone
Cylinder
Sphere
• Polyhedron
Regular polyhedron
Irregular Polyhedron
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Prepared by: Er. Vikrant
Regular Polyhedron
• Tetrahedron: Four equal equilateral triangular
face
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Prepared by: Er. Vikrant
• Cube/hexahedron – six equal square faces
2/12/2021 4

Prepared by: Er. Vikrant
• Octahedron– eight equal equilateral
triangular faces
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Prepared by: Er. Vikrant
• Dodecahedron – twelve equal regular
pentagonal faces
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Prepared by: Er. Vikrant
• Icosahedrons – twenty equal equilateral
triangular faces
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Prepared by: Er. Vikrant
Irregular Polyhedrons
• Prism:
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Prepared by: Er. Vikrant
• Triangular Prism
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Prepared by: Er. Vikrant
• Square Prism
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Prepared by: Er. Vikrant
• Pentagonal prism
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Prepared by: Er. Vikrant
• Hexagonal Prism
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Prepared by: Er. Vikrant
• Pyramid
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Prepared by: Er. Vikrant
• Square Pyramid
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Prepared by: Er. Vikrant
• Triangular Pyramid
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Prepared by: Er. Vikrant
• Pentagonal Pyramid
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Prepared by: Er. Vikrant
• Hexagonal Pyramid
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Prepared by: Er. Vikrant
• Regular and Irregular Solids
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Prepared by: Er. Vikrant
• Right and Oblique Solids
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Prepared by: Er. Vikrant
• Frustum and Truncated Solids
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Prepared by: Er. Vikrant
Solids of Revolution
• Cylinder
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Prepared by: Er. Vikrant
• Cone
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• Sphere
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Projections of Solids in Different
Positions
1. Axis perpendicular to one of the Principal
plane and Parallel to other
2. Axis parallel to both HP and VP
3. Axis inclined to one of the Principal planes
and Parallel to other
4. Axis inclined to both HP and VP
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Prepared by: Er. Vikrant
Axis perpendicular to one of the
Principal plane and Parallel to other
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Prepared by: Er. Vikrant
Problem No. 1
• Draw the projections of a cone, resting in HP
on its base with base diameter 40mm and
height 60mm.
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Prepared by: Er. Vikrant
Φ40
60
2
1
O’
1’ 2’
O’ Y
X
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Prepared by: Er. Vikrant
Axis parallel to both HP and VP
2/12/2021 28

Prepared by: Er. Vikrant
Problem No. 2
• A right regular hexagonal prism, edge of base
30mm and length 50mm, lies on one of its
rectangular faces on HP, such that axis is
parallel to both HP and VP. Draw its
projection.
2/12/2021 29

Prepared by: Er. Vikrant
c
b,d
p’
a,e
f
3
2,4
p’
1,5
6
4’,5’
3’,6’
d’,e’
c’,f’
a’,b’
1’,2’
p”
6”,f”
5”,e” 4”,d”
3”,c”
2”,b”
1”,a”
Z
Y
X
Y
30
2/12/2021

Prepared by: Er. Vikrant
Axis inclined to one of the Principal
planes and Parallel to other
2/12/2021 31

Prepared by: Er. Vikrant
Problem No. 3
• A right regular hexagonal pyramid, edge of
base 30mm and axis 60mm long, has an edge
of its base in HP, such that its axis is inclined at
30° to the HP and parallel to the VP. Draw its
projections.
2/12/2021 32

Prepared by: Er. Vikrant
2/12/2021 33
X Y
1
6
5
4
3
2
1’,2’
3’,6’
o’
4’,5’
4₁’,5 ₁’
3 ₁’,6 ₁’
2 ₁’,1 ₁’
o ₁’
5 ₁
4 ₁
6 ₁
3 ₁
1 ₁
2 ₁
o ₁
0
60
30

Prepared by: Er. Vikrant
Axis inclined to both HP and VP
2/12/2021 34

Prepared by: Er. Vikrant
Problem No. 4
• A right regular pentagonal prism, side of base
30mm and height 70mm, rests on one of its
base corners on HP such that its long edge
containing the corner is inclined to the HP at
45° and the side of base opposite to the
corner is inclined at 45° to the VP. Draw its
projections.
2/12/2021 35

Prepared by: Er. Vikrant
2/12/2021 36
X Y
1,a
1’
5,e
4,d
2,b
3,c
3’,4’ 2’,5’
a’
b’,e’
c’,d’
3 ₁’,4 ₁’
2 ₁’,5 ₁’
1 ₁’
c ₁’,d ₁’
b ₁’,e ₁’
a ₁’
3 ₁
4 ₁
2 ₁
5 ₁
1 ₁
c₁
d₁
b₁
₁
e₁
a₁
1 ₂
2 ₂
3 ₂
4 ₂ 5 ₂
a ₂
b ₂
c₂
d ₂ e ₂
c₂’ d₂’
e₂
a₂’
b₂’
3₂’
2₂’
4₂’
1₂’
5₂’
o o₁’ o₁’
O ₂
o ₂
o ₂’
o ₂’

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Projection of solids

1. Prepared by: Er. Vikrant Engineering Design And Graphics Projection of Solids 2/12/2021 1

2. Prepared by: Er. Vikrant Solids • Solids of Revolution Cone Cylinder Sphere • Polyhedron Regular polyhedron Irregular Polyhedron 2/12/2021 2

3. Prepared by: Er. Vikrant Regular Polyhedron • Tetrahedron: Four equal equilateral triangular face 2/12/2021 3

4. Prepared by: Er. Vikrant • Cube/hexahedron – six equal square faces 2/12/2021 4

5. Prepared by: Er. Vikrant • Octahedron– eight equal equilateral triangular faces 2/12/2021 5

6. Prepared by: Er. Vikrant • Dodecahedron – twelve equal regular pentagonal faces 2/12/2021 6

7. Prepared by: Er. Vikrant • Icosahedrons – twenty equal equilateral triangular faces 2/12/2021 7

8. Prepared by: Er. Vikrant Irregular Polyhedrons • Prism: 2/12/2021 8

9. Prepared by: Er. Vikrant • Triangular Prism 2/12/2021 9

10. Prepared by: Er. Vikrant • Square Prism 2/12/2021 10

11. Prepared by: Er. Vikrant • Pentagonal prism 2/12/2021 11

12. Prepared by: Er. Vikrant • Hexagonal Prism 2/12/2021 12

13. Prepared by: Er. Vikrant • Pyramid 2/12/2021 13

14. Prepared by: Er. Vikrant • Square Pyramid 2/12/2021 14

15. Prepared by: Er. Vikrant • Triangular Pyramid 2/12/2021 15

16. Prepared by: Er. Vikrant • Pentagonal Pyramid 2/12/2021 16

17. Prepared by: Er. Vikrant • Hexagonal Pyramid 2/12/2021 17

18. Prepared by: Er. Vikrant • Regular and Irregular Solids 2/12/2021 18

19. Prepared by: Er. Vikrant • Right and Oblique Solids 2/12/2021 19

20. Prepared by: Er. Vikrant • Frustum and Truncated Solids 2/12/2021 20

21. Prepared by: Er. Vikrant Solids of Revolution • Cylinder 2/12/2021 21

22. Prepared by: Er. Vikrant • Cone 2/12/2021 22

23. Prepared by: Er. Vikrant • Sphere 2/12/2021 23

24. Prepared by: Er. Vikrant Projections of Solids in Different Positions 1. Axis perpendicular to one of the Principal plane and Parallel to other 2. Axis parallel to both HP and VP 3. Axis inclined to one of the Principal planes and Parallel to other 4. Axis inclined to both HP and VP 2/12/2021 24

25. Prepared by: Er. Vikrant Axis perpendicular to one of the Principal plane and Parallel to other 2/12/2021 25

26. Prepared by: Er. Vikrant Problem No. 1 • Draw the projections of a cone, resting in HP on its base with base diameter 40mm and height 60mm. 2/12/2021 26

27. Prepared by: Er. Vikrant Φ40 60 2 1 O’ 1’ 2’ O’ Y X 2/12/2021 27

28. Prepared by: Er. Vikrant Axis parallel to both HP and VP 2/12/2021 28

29. Prepared by: Er. Vikrant Problem No. 2 • A right regular hexagonal prism, edge of base 30mm and length 50mm, lies on one of its rectangular faces on HP, such that axis is parallel to both HP and VP. Draw its projection. 2/12/2021 29

30. Prepared by: Er. Vikrant c b,d p’ a,e f 3 2,4 p’ 1,5 6 4’,5’ 3’,6’ d’,e’ c’,f’ a’,b’ 1’,2’ p” 6”,f” 5”,e” 4”,d” 3”,c” 2”,b” 1”,a” Z Y X Y 30 2/12/2021

31. Prepared by: Er. Vikrant Axis inclined to one of the Principal planes and Parallel to other 2/12/2021 31

32. Prepared by: Er. Vikrant Problem No. 3 • A right regular hexagonal pyramid, edge of base 30mm and axis 60mm long, has an edge of its base in HP, such that its axis is inclined at 30° to the HP and parallel to the VP. Draw its projections. 2/12/2021 32

33. Prepared by: Er. Vikrant 2/12/2021 33 X Y 1 6 5 4 3 2 1’,2’ 3’,6’ o’ 4’,5’ 4₁’,5 ₁’ 3 ₁’,6 ₁’ 2 ₁’,1 ₁’ o ₁’ 5 ₁ 4 ₁ 6 ₁ 3 ₁ 1 ₁ 2 ₁ o ₁ 0 60 30

34. Prepared by: Er. Vikrant Axis inclined to both HP and VP 2/12/2021 34

35. Prepared by: Er. Vikrant Problem No. 4 • A right regular pentagonal prism, side of base 30mm and height 70mm, rests on one of its base corners on HP such that its long edge containing the corner is inclined to the HP at 45° and the side of base opposite to the corner is inclined at 45° to the VP. Draw its projections. 2/12/2021 35

36. Prepared by: Er. Vikrant 2/12/2021 36 X Y 1,a 1’ 5,e 4,d 2,b 3,c 3’,4’ 2’,5’ a’ b’,e’ c’,d’ 3 ₁’,4 ₁’ 2 ₁’,5 ₁’ 1 ₁’ c ₁’,d ₁’ b ₁’,e ₁’ a ₁’ 3 ₁ 4 ₁ 2 ₁ 5 ₁ 1 ₁ c₁ d₁ b₁ ₁ e₁ a₁ 1 ₂ 2 ₂ 3 ₂ 4 ₂ 5 ₂ a ₂ b ₂ c₂ d ₂ e ₂ c₂’ d₂’ e₂ a₂’ b₂’ 3₂’ 2₂’ 4₂’ 1₂’ 5₂’ o o₁’ o₁’ O ₂ o ₂ o ₂’ o ₂’

37. Prepared by: Er. Vikrant 2/12/2021 37

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Projection of solids

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Projection of solids