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Introduction to PROJECTION
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PROJECTION is defined as an image or a drawing of an object made on a plane.
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To convey the external as well as internal features of objects in terms of shape and size.
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Principles of Projection.
All drawings used in the field of engineering are based on the Principles of Projection.
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Pictorial View to reveal all three directions of space in one picture.
PROJECTION is defined as an image or a drawing of an object made on a plane. Pictorial View to reveal all three directions of space in one picture.
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It is capable of conveying the external as well as internal features of objects in terms of shape and size.
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PROJECTION METHOD Light
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Line of sight is an imaginary ray between an observer’s eye and an object.
There are 2 types of LOS : parallel and diverging Parallel projection Perspective projection Line of sight Line of sight
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1) It is difficult to create.
Perspective projection is not used by engineer for manufacturing of parts, because… 1) It is difficult to create. 2) It does not reveal exact shape and size. Width is distorted
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Plane of projection is an imaginary flat plane which
the image is created. The image is produced by connecting the points where the LOS pierce the projection plane. Parallel projection Plane of projection
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PROJECTION THEORY The projection theory is used to graphically represent 3-D objects on 2-D media (paper, computer screen). The projection theory is based on two variables: 1) Line of sight 2) Plane of projection (image plane or picture plane)
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PROJECTION METHOD Perspective Parallel Oblique Orthographic
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Orthographic Projection
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MEANING Orthographic projection is a parallel projection technique
in which the parallel lines of sight are perpendicular to the projection plane 1 2 5 3 4
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ORTHOGRAPHIC VIEW Two dimensions of an object is shown.
Orthographic view depends on relative position of the object to the line of sight. Rotate Two dimensions of an object is shown. Tilt More than one view is needed to represent the object. Multiview drawing Three dimensions of an object is shown. Axonometric drawing
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OBJECT REPRESENTATION
Orthographic projection technique can produce…. Axonometric projection ~ that shows all three dimensions of an object in one view. Multiview projection ~ that each view show an object in two dimensions. Both drawing types are used in technical drawing for communication.
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PROJECTION METHOD Perspective Parallel Oblique Orthographic
Axonometric Multiview
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Perspective / Axonometric / Oblique Projection
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MULTIVIEW PROJECTION Three principle dimensions of an object …
… can be presented only two in each view. Depth Height Adjacent view(s) is needed to fulfill the size description. Depth Width Height Width Depth
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TO OBTAIN MULTIVIEW REPRESENTATION OF AN OBJECT
Revolve the object with respect to observer. The observer move around the object.
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REVOLVE THE OBJECT Top view Front view Right side view
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Top view Front view Right side view
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Top view Front view Right side view
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THE GLASS BOX CONCEPT Rear view Left side view Bottom view
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History Depth Height Width
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2nd Quadrant F.V. 1st Quadrant Y X 3rdQuadrant Observer 4th Quadrant
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POINT A IN 2ND QUADRANT POINT A IN 1ST QUADRANT HP VP VP HP a’ A A a’
OBSERVER OBSERVER a a HP VP HP VP OBSERVER OBSERVER a a’ A a’ POINT A IN 3RD QUADRANT A POINT A IN 4TH QUADRANT
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Orthographic Pattern For Tv (Pictorial Presentation) V.P. X Y H.P. V.P. a’ b’ a b Fv Tv Note: FV is a vertical line Showing True Length & TV is a point. a’ b’ B A 1. FV A Line perpendicular to Hp & // to Vp X Y For Fv a (b) TV Orthographic Pattern (Pictorial Presentation) X Y V.P. Note: Fv & Tv both are // to xy & both show T. L. X Y H.P. V.P. a b a’ b’ Fv Tv For Tv 2. b’ a’ A Line // to Hp & // to Vp F.V. A B For Fv b a T.V.
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(Pictorial presentation)
X Y V.P. X Y H.P. V.P. F.V. T.V. a b a’ b’ Fv inclined to xy Tv parallel to xy. 3. b’ a’ F.V. A Line inclined to Hp and parallel to Vp (Pictorial presentation) A B b a T.V. Orthographic Projections V.P. Tv inclined to xy Fv parallel to xy. X Y H.P. V.P. Ø a b a’ b’ Tv Fv 4. A Line inclined to Vp and parallel to Hp (Pictorial presentation) a’ b’ F.V. Ø B A Ø a b T.V.
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3. TRACE X Y V.P. b’ a’ F.V. A B b a T.V.
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TRACE 4. V.P. a’ b’ Ø B A Ø a b
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line inclined to HP II to VP.wmv line inclined to VP II to HP.wmv
X Y a b1 a’ b1’ X Y φ a b2 a’ b2’ X Y φ a b2 b2’ b1 a’ b1’ P P Q Q R S R S ab1= is length of TV PQ = locus of b’ ab’2= is length of FV RS = locus of b line inclined to HP II to VP.wmv line inclined to VP II to HP.wmv From II to VP to inclined to VP.wmv From II to HP to inclined to HP.wmv
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PICTORIAL PRESENTATION
Projection of Planes SURFACE II TO HP & ┴ TO VP PICTORIAL PRESENTATION For T.V. FV-1 D C A B For F.V. T V-1 TV-True Shape FV- Line // to xy
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PICTORIAL PRESENTATION
Projection of Planes SURFACE II TO VP & ┴ TO HP PICTORIAL PRESENTATION For T.V. FV-1 For F.V. T V-1 TV-True Shape FV- Line // to xy
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Projection of Planes SURFACE ┴ TO HP & ┴ TO VP
ORTHOGRAPHIC PRESENTATION PICTORIAL PRESENTATION For T.V. SV FV FV A B D For SV . C For F.V. T V T V TV-Line ┴ to xy FV- Line ┴ to xy
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