Isometric projection - I.pptx

1. Healthy Brain Learning Center Pvt. Ltd.
CUBE
b c
a d
e
f g
h
b’
f’
c’
g’
e’ h’
a’ d’
30˚
30˚
30˚
D’
45˚
B
F G
C
A
E
D
Concept of Isometric Projection
Orthographic Projection Isometric Projection
All edges are equal in length
Edges are short in length of actual length
i.e. edges are apparent length
All edges makes an angle of 300 with
horizontal
In Isometric Projection of Cube ………
x
y
z
D
A C
B H
E G
F
B’
Axis x, y and z are called Isometric axis
All lines (edges) llel to these axis are
called Isometric lines
From ∆ OAD and ∆ OAD’
OA = AD cos 300 = AD’ cos 450
AD = (cos 450 / cos 300 ) AD’
AD = 0.816 AD’ = (9/11) AD’
Isometric Length = (9/11) Actual Length
O
F V
T V

2. Healthy Brain Learning Center Pvt. Ltd.
Isometric Projection and Isometric View
Isometric Projection Isometric View
A picture or an isometric drawing of an
object drawn by using Isometric length
along Isometric direction is called as
Isometric Projection of an object.
A picture or an isometric drawing of an
object drawn by using actual length
along Isometric direction is called as
Isometric View of an object.
Isometric View is a magnification of the
corresponding Isometric Projection.
The magnification factor is 11/9 (length
wise) and (11/9)3.
Isometric Scale
A
O
A1
30˚
45˚
OA = Actual length
OA1 = Isometric length

3. Healthy Brain Learning Center Pvt. Ltd.
Isometric View and Isometric Isometric of Basic Shapes
c’
d’
30
a’
b’ 40
x
y
z
30˚
30˚
a
b
c
d
x
z
B
C
A
D
x
y
z
30˚
30˚
B1
C1
A1
30
30x911
x
y
c’
d’
20
a’
b’ 40
y
z
30˚
30˚
a
b
c
d
x
z
B
z
30˚
30˚
B1
A1
x
y
D1
x
C
y
C1
D1
x
D
A

4. Healthy Brain Le3rning Center Pvt. Ltd.
Isometric View and Isometric Projection of Basic Shapes
c’
40
a’
b’
x
y
z
30˚
a
b c
x
z
2
3
1
4
x
y
z
30˚
3
1
4
20
20x911
x
y
1’
2’ 3’
4’
B
C
A
C1
A1
30˚ 30˚
2B1
a’
b’ c’ d’
e’
y
z
30˚
30˚
y
1
2 3
4
2
3
1
108˚
c
d
e
a
25
b
4
D
A
B
C
E
x
y
x
z
Isometric
Projection
?
Try
yourself

5. Healthy Brain Learning Center Pvt. Ltd.
Isometric View and Isometric Projection of Basic Shapes
a
b
c
d
b’
a’ d’ c’
y
z
30˚
30˚
x
1
2 3
4
2
3
1
3
x
y
x
z
B
A
5 6
C
D
Arc Centre
C D 2
A B 3
D A 5
B C 6
a
b
c
b’
a’ c’
y
z
30˚
30˚
2
3
1
4
1
2
3
4
B
C
A
5
6
Arc Centre
A C 5
C B 4
x

6. Healthy Brain Learning Center Pvt. Ltd.
1. A pentagonal prism with edge of base 25 mm and height 50 mm, resting on ground with one of the edge
perpendicular to VP. Draw its Orthographic an Isometric projection.
p’
50
1’ 2’ 5’ 3’
o’
a’ b’ e’ c’ d’
4’
30˚
30˚
x
y
z
x
y
x
z
1
2 3
4
2
3
4
1
C
2-C = 2-d
D
2
3
1
4
E
B
F
G
H
J
I
A
50
e
c
108˚
o
2
3
4
5
1
p
25
b
d
a

7. Healthy Brain Learning Center Pvt. Ltd.
1. A hexagonal prism with edge of base 25 mm and height 60 mm, resting on ground with one of the edge parallel
to VP. Draw its Orthographic an Isometric projection.
h’
60
g’ l’ i’
a’ b’ c’
k’
f’ e’ d’
j’
g
h i
j
k
l
a
b c
d
e
f
30˚
30˚
y
z
2
3
1
4
1
2 3
4
y
x
z
x
B
F
A
2
3
1
4
H
J
K
G
D
E
C
L
I
x
2-B = 2-b

8. 35
Healthy Brain Learning Center Pvt. Ltd.
1. A hexagonal prism with edge of base 25 mm and height 60 mm, resting on ground with one of the edge parallel
to VP. Draw its Orthographic an Isometric projection.
40
40 Ф
20
15
30˚
30˚
x
y
z
1
2 3
4
y
x
z
x
2
3
1
3
B
F
A
D
E
a
b c
d
e
f
2
3
1
3
O1
1
2 3
4
20
20
C

9. 1. A cube of 40 mm long edge is kept centrally on the cylindrical slab of 65 mm diameter and 25 mm thickness. On
the top of this cube rests a square pyramid of 35 mm height and side of base 25 mm. Draw the Isometric view of
the solid.
Healthy Brain Learning Center Pvt. Ltd.
65
Ф
25
40
35
40
sq
25
sq
30˚
30˚
x
y
z
1
2 3
4
2
3
4
1
x
y
x
z
2
3
4
1
a
b
c
d
2-B = 2-b
C
D
5 6
B
C
D
A
5 6
02
B
A

10. 1. A Draw the isometric projection of following assembly: A frustum of cone standing. On its base on ground. A
cube is resting centrally on the top of it and a hemisphere is resting centrally on top of cube. Dimensions are as
follows
Healthy Brain Learning Center Pvt. Ltd.
80
Ф
60
Ф
FRUSTRUM
OF CONE
30
50
sq
CONE
50
40
Ф
HEMISPHERE
20
30˚
30˚
x
y
z
1
2 3
4
x
y
x
z
a
b
c
d
2
3
4
1
B
2-B = 2-b
C
D
A
5 6
O1
O2
30
O2
50
O3
20 x 9/11