Chapter 3 Orthographic Projection PDF

Chapter 3 Orthographic Projection  Contents Projection theory Multiview drawing Line convention Projection Thoery Contents  Purpose To graphically represent a 3-D object on 2-D media (paper, screen etc.). Object (3D) placing Transparen...

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