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Lecture – 6 http://home.iitk.ac.in/~mukesh/

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Lecture – 6

http://home.iitk.ac.in/~mukesh/

PRACTICE

PRACTICE

3-D to Orthographic Projection

Orthographic Projection – 3D

(i) Axonometric – Isometric(ii) Oblique(iii)Perspective

Why do we need 3-D Pictorial Drawings?

Parallel to Picture plane(only one face seen)

Rotated about vertical axis(two faces seen)

Rotated about vertical & profile Axes (three faces seen)

Can get Infinite 3-d views – needs uniformity and standardization

R,U

R,S

S

T

SR

U

T

First Position – one face seen

Rotate about Vertical axis by 450

Two faces seen

Then Rotate about profile axis by 350

(three faces seen)

Projections are still orthographicWhat these rotations have done?SR, RU, RT all foreshortened but byequal lengths

Three mutually perpendicularEdges, SR, RU and RT now make equal angle of 120o

with each other and are calledISOMETRIC AXES

S

R,U

T

S R

U

T

U

T

Schematic presentation of concept

30o30o

One Can draw isometric Figure with the help of Isometric box

Two types : (i) Isometric Projection – Take lines as foreshortened(ii) Isometric drawing - Disregard foreshortening take actual length

IsometricAxes

A B

Quiz:How much AB is foreshortened?

A. Isometric projection: foreshortened (81/100)B. Isometric drawing: No foreshortening (100/100)

No difference in shape - Isometric drawing larger inLinear proportion of 1.23:1.

Most common form is to use isometric drawing

A B

Important

• All lines parallel to isometric axes – Isometric lines

• All isometric lines are foreshortened equally (81/100)

• All other non-isometric lines may or may not foreshorten

• Foreshortening ratio of such lines may vary disproportionately

• Projections of parallel lines are parallel.

• All measurements can only be marked on isometric lines

Make Isometric scale : foreshortened to 81/100 to Be used in Isometric projection

0

0

1

2

3

4

1

2

3

4 450

300

Regular

Scale

Isometric Scale

ISOMETRIC SCALE

20

12

10

20

10

12

A

B

C

Decide width and depth directions – height direction is fixed.

AB

CD

A

B

C

D

Boxing Method

Now start drawingIsometric

Front

Top

Right Side

Identify hidden lines

Now erase the hidden linesFront

Top

Right Side

300300

Now erase hidden portion of ellipse Front

Top

Right Side

Isometric Front

Top

Right Side

Now start drawingIsometric

Front

Top

Right Side

Identify hidden lines and erase

Draw base as in previous isometric

Now draw the additional surface

Smoothly join both ellipses Front

Top

Right Side

Isometric Front

Top

Right Side

56

20

Ø40

Ø56

49

98

FRONT

TOP

RIGHT SIDE

L3 - 3.1

32

56

20

Ø40

Ø56

49

98

FRONT

TOP

RIGHT SIDE

L3 - 3.1

32

56

20

Ø40

Ø56

49

98

FRONT

TOP

RIGHT SIDE

L3 - 3.1

32