Chapter 3
Orthographic
Projection
Line convention
Multiview drawing
Projection theory
Contents
Projection
Thoery
Contents
Purpose
To graphically represent a 3-D object on 2-D media
(paper, screen etc.).
Object (3D) placing
on the paper (2D)
Transparent plate is placed
between object and
observer’s eyes.
Object’s features are transferred
through projection.
Inconvenient to
communicate
A view of an object on
2D media
Convenient to
communicate
Concept
A projection theory is based on 2 variables:
1) Line of sight
2) Plane of projection (image or picture plane)
Plane of projection
is an imaginary flat plane upon
which the image created by the
LOS is projected.
Line of sight (LOS)
is an imaginary ray of light
between an observer’s eye
and an object.
Line of sight
Lines of sight can be parallel or converge.
Converge projectionParallel projection
Play Play
Line of sight
The parallel projection lines can be normal (orthogonal)
or oblique to the plane of projection.
ObliqueOrthogonal
Play Play
In this course, we consider only a parallel and orthogonal
projection, i.e. orthographic projection.
Image on a projection plane.
Rotate
Tilt
Multiview drawing
shows a 2D view of
an object.
Axonometric drawing
shows a virtual 3D
view of an object.
View
View depends on a relative orientation between an
object and a plane.
Summary : Types of views
Projections
ConvergeParallel
Orthogonal Oblique
AxonometricMultiview
Pictorial drawing Perspective
drawing
Multiview drawing
(Later chapter)(This chapter)
View comparison
Pictorial drawing
Perspective drawing
Multiview drawing
Difficult to create
Easy to visualize. Shape and angle distortion
Object looks more
like what our eyes
perceive.
Size and shape
distortion
Right angle becomes
obtuse angle.
Circular hole
becomes ellipse
Distorted
width
Accurately presents
object’s details, i.e.
size and shape.
Require training
to visualization.
Advantage DisadvantageType
Multiview
drawing
Contents
Multiview drawing is a set of related images that are created
by viewing the object from a different direction.
Definition
Width Depth
Height
Width
Height
Depth
Depth
Adjacent view(s)
is needed to
fulfill the object
description.
1. Revolve the object with respect to observer
Methods
2. The observer moves around the object.
Front view Right side view
Top view
Right side
view
Top view
play play
Front
view
Glass box concept
Glass box : Revolution of the planes of projection
Bottom view
Left side view
Rear view
Height
Width
Depth
Relative orientation of views
Left side view Right side view
Bottom view
Top view
Rear view
Front view
Summary : Problem solving steps
1 2
3 4
Given
Object features
Edge is a line that represent the boundary between two
faces of an object.
Surface limit is a line that represents the last visible
part of the curve surface.
Prism Cylinder Sphere
No edges!
Surface is an area that are bounded by edges or surface
limit. Surface can be plane or curve.
These features will appear as lines in a multiview drawing.Note
Class activity : Object’s features
1
2
3
4
5
6
7
8
Identify name of the features
denoted by a NO. 1 to 9?
1
2
3
4
5
6
7
8
Edge Surface
limit
Surface
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B
AF BF BRAR
AT
BT
Projection of a normal line
A
Play
Glass box concept Multiview drawing
AR
BR
AT
BT
AF
BF
Projection of a normal plane
Play
Glass box concept Multiview drawing
Projection of an object
Play
Glass box concept Multiview drawing
Do the same procedures for
all remaining edges (or planes)
Hidden line is used
to show existence of
a hidden edge.
Projection of an inclined line
Play
Glass box concept Multiview drawing
AF
BF
AF
B
A
BF
AR
BR
AR
BR
AT
BT
AT
BT
Projection of an inclined plane
Play
Glass box concept Multiview drawing
Projection of an obliqued line
Play
Glass box concept Multiview drawing
AF
B
A
BF
AR
BR
AT
BT
AF
BF
AR
BR
AT
BT
Projection of an obliqued plane
Play
Glass box concept Multiview drawing
Projection of a curve line
Play
Glass box concept Multiview drawing
AFBF
CF
BR
AT
BT
CT
AR
CR
B
A
C
AFBF CF BRAR CR
AT
BT
CT
Projection of a curve surface
Play
Glass box concept Multiview drawing
Transferring a depth : Direct measurement
0123
27
0 1 2 3
Prefer space between
front and side views
27
Transferring a depth : miter line
Prefer space between
front and side views
miter line
45o
Projection of an object having
curved surface and plane
In the case of intersection, an edge exists and becomes a line
in a multiview drawing
Curved surface can either tangent or intersect with an
adjacent plane or curve surface.
In the case of tangential, there is no edge and line in a multiview
drawing
I
I
T
T
T
I
Examples
Play
2
3
Play
Play
4
Play
1
Examples
Play
5 6
Play
Examples
Play
Play
7 8
9
Play
Play
10
No line exists
3D representation
of an object
Suggestion for practicing 1
Given
Choose lines
(or areas)
Multiview
drawingRepresent
each features
by a line
2Choose
features
1
12 Match
each lines
(or areas)
to features
Identify line
(or plane) types,
i.e. normal,
inclined, and
obliqued.
3
Try to relate the object’s features to the lines in a multiview
drawing, i.e. interpret the meaning of lines.
Suggestion for practicing 2
Modify the object’s features of a given object, then observe
what’s changed on a multiview drawing.
Given
3D representation of a simple
object
Modified object
Self study : Type of planes
Normal plane
Click on any area
of a given object.
You will get the
type of plane.
Inclined plane
Curve surface
Skip
Line
convention
Contents
Line convention
Precedence of coincide lines
Hidden line drawing
Center line drawing
Precedence of line
When lines coincide with
each other, the more
important lines cover up
the other lines.
Order of importance
(highest to lowest)
- visible line
- hidden line
- center line
- construction line.
Line convention
Play
What is an appropriate line
type to replace the lines NO.
1-4?
1
2
3
V H C
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“V” denotes visible line
“H” denotes hidden line
“C” denotes center line
Class activity : Precedence of lines
1
2 3
4
4  
Hidden line drawing
Hidden line should join a visible line, except it extends
from a visible line.
join
space
join
space
space
space
Hidden line drawing
Intersection between hidden lines should form L, T, V or
Y corner.
L T
inside
V
Y
L T
A curve hidden line should start on a center line.
Hidden line drawing
Line convention
Center line drawing
In a circular view, short dash of a center line should cross
at the center of the circle or arc.
Center line should always start and end with long dash.
Center line should not extend between views.
Leave space Leave space
Play Play
3~4 mm
3~4 mm
Center line drawing
For a small hole, a center line is presented as a thin
continuous line.
Leave a gap when centerline forms a continuation with a
visible or a hidden line.
Play
Leave space Leave space Leave space
Line convention
Class activity : Hidden line drawing
correct wrong
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correct wrong
 
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Engineering drawing chapter 03 orthographic projection.

  • 1.
  • 2.
  • 3.
  • 4.
    Purpose To graphically representa 3-D object on 2-D media (paper, screen etc.). Object (3D) placing on the paper (2D) Transparent plate is placed between object and observer’s eyes. Object’s features are transferred through projection. Inconvenient to communicate A view of an object on 2D media Convenient to communicate
  • 5.
    Concept A projection theoryis based on 2 variables: 1) Line of sight 2) Plane of projection (image or picture plane) Plane of projection is an imaginary flat plane upon which the image created by the LOS is projected. Line of sight (LOS) is an imaginary ray of light between an observer’s eye and an object.
  • 6.
    Line of sight Linesof sight can be parallel or converge. Converge projectionParallel projection Play Play
  • 7.
    Line of sight Theparallel projection lines can be normal (orthogonal) or oblique to the plane of projection. ObliqueOrthogonal Play Play In this course, we consider only a parallel and orthogonal projection, i.e. orthographic projection.
  • 8.
    Image on aprojection plane. Rotate Tilt Multiview drawing shows a 2D view of an object. Axonometric drawing shows a virtual 3D view of an object. View View depends on a relative orientation between an object and a plane.
  • 9.
    Summary : Typesof views Projections ConvergeParallel Orthogonal Oblique AxonometricMultiview Pictorial drawing Perspective drawing Multiview drawing (Later chapter)(This chapter)
  • 10.
    View comparison Pictorial drawing Perspectivedrawing Multiview drawing Difficult to create Easy to visualize. Shape and angle distortion Object looks more like what our eyes perceive. Size and shape distortion Right angle becomes obtuse angle. Circular hole becomes ellipse Distorted width Accurately presents object’s details, i.e. size and shape. Require training to visualization. Advantage DisadvantageType
  • 11.
  • 12.
    Multiview drawing isa set of related images that are created by viewing the object from a different direction. Definition Width Depth Height Width Height Depth Depth Adjacent view(s) is needed to fulfill the object description.
  • 13.
    1. Revolve theobject with respect to observer Methods 2. The observer moves around the object. Front view Right side view Top view Right side view Top view play play Front view Glass box concept
  • 14.
    Glass box :Revolution of the planes of projection Bottom view Left side view Rear view
  • 15.
    Height Width Depth Relative orientation ofviews Left side view Right side view Bottom view Top view Rear view Front view
  • 16.
    Summary : Problemsolving steps 1 2 3 4 Given
  • 17.
    Object features Edge isa line that represent the boundary between two faces of an object. Surface limit is a line that represents the last visible part of the curve surface. Prism Cylinder Sphere No edges! Surface is an area that are bounded by edges or surface limit. Surface can be plane or curve. These features will appear as lines in a multiview drawing.Note
  • 18.
    Class activity :Object’s features 1 2 3 4 5 6 7 8 Identify name of the features denoted by a NO. 1 to 9? 1 2 3 4 5 6 7 8 Edge Surface limit Surface                 Skip test Next slideReset all
  • 19.
    B AF BF BRAR AT BT Projectionof a normal line A Play Glass box concept Multiview drawing AR BR AT BT AF BF
  • 20.
    Projection of anormal plane Play Glass box concept Multiview drawing
  • 21.
    Projection of anobject Play Glass box concept Multiview drawing Do the same procedures for all remaining edges (or planes) Hidden line is used to show existence of a hidden edge.
  • 22.
    Projection of aninclined line Play Glass box concept Multiview drawing AF BF AF B A BF AR BR AR BR AT BT AT BT
  • 23.
    Projection of aninclined plane Play Glass box concept Multiview drawing
  • 24.
    Projection of anobliqued line Play Glass box concept Multiview drawing AF B A BF AR BR AT BT AF BF AR BR AT BT
  • 25.
    Projection of anobliqued plane Play Glass box concept Multiview drawing
  • 26.
    Projection of acurve line Play Glass box concept Multiview drawing AFBF CF BR AT BT CT AR CR B A C AFBF CF BRAR CR AT BT CT
  • 27.
    Projection of acurve surface Play Glass box concept Multiview drawing
  • 28.
    Transferring a depth: Direct measurement 0123 27 0 1 2 3 Prefer space between front and side views 27
  • 29.
    Transferring a depth: miter line Prefer space between front and side views miter line 45o
  • 30.
    Projection of anobject having curved surface and plane In the case of intersection, an edge exists and becomes a line in a multiview drawing Curved surface can either tangent or intersect with an adjacent plane or curve surface. In the case of tangential, there is no edge and line in a multiview drawing I I T T T I
  • 31.
  • 32.
  • 33.
  • 34.
    3D representation of anobject Suggestion for practicing 1 Given Choose lines (or areas) Multiview drawingRepresent each features by a line 2Choose features 1 12 Match each lines (or areas) to features Identify line (or plane) types, i.e. normal, inclined, and obliqued. 3 Try to relate the object’s features to the lines in a multiview drawing, i.e. interpret the meaning of lines.
  • 35.
    Suggestion for practicing2 Modify the object’s features of a given object, then observe what’s changed on a multiview drawing. Given 3D representation of a simple object Modified object
  • 36.
    Self study :Type of planes Normal plane Click on any area of a given object. You will get the type of plane. Inclined plane Curve surface Skip
  • 37.
  • 38.
    Line convention Precedence ofcoincide lines Hidden line drawing Center line drawing
  • 39.
    Precedence of line Whenlines coincide with each other, the more important lines cover up the other lines. Order of importance (highest to lowest) - visible line - hidden line - center line - construction line. Line convention Play
  • 40.
    What is anappropriate line type to replace the lines NO. 1-4? 1 2 3 V H C       Skip test Next slideReset all “V” denotes visible line “H” denotes hidden line “C” denotes center line Class activity : Precedence of lines 1 2 3 4 4  
  • 41.
    Hidden line drawing Hiddenline should join a visible line, except it extends from a visible line. join space join space space space
  • 42.
    Hidden line drawing Intersectionbetween hidden lines should form L, T, V or Y corner. L T inside V Y L T
  • 43.
    A curve hiddenline should start on a center line. Hidden line drawing Line convention
  • 44.
    Center line drawing Ina circular view, short dash of a center line should cross at the center of the circle or arc. Center line should always start and end with long dash. Center line should not extend between views. Leave space Leave space Play Play 3~4 mm 3~4 mm
  • 45.
    Center line drawing Fora small hole, a center line is presented as a thin continuous line. Leave a gap when centerline forms a continuation with a visible or a hidden line. Play Leave space Leave space Leave space Line convention
  • 46.
    Class activity :Hidden line drawing correct wrong   correct wrong          Skip test Next slideReset all