theory of projections [compatibility mode]

23
Chapter-3 Theory of Projection Theory of Projection

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Page 1: Theory of Projections [Compatibility Mode]

Chapter-3

Theory of ProjectionTheory of Projection

Page 2: Theory of Projections [Compatibility Mode]

Engineering Graphics

AutoCAD Theory of Projections

3

Projections

Multiview projections

Single view projections

Page 3: Theory of Projections [Compatibility Mode]

Axonometric and Perspective View

To draw in perspective, draw a horizon line and draw a vanishing point anywhere on the horizon. Lines which are parallel in real life are drawn to intersect

Page 4: Theory of Projections [Compatibility Mode]

Axonometric and Perspective View

Page 5: Theory of Projections [Compatibility Mode]

Systems of Projection

Projection

Multi view projection Single view projection

(Orthographic projection) (isometric projection)

Page 6: Theory of Projections [Compatibility Mode]

Natural / Direct View Method

Page 7: Theory of Projections [Compatibility Mode]

Glass Box Approach

• Place the object in a glass box

• Freeze the view from each

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• Freeze the view from eachdirection (each of the sixsides of the box) and unfoldthe box

Page 8: Theory of Projections [Compatibility Mode]

� Project all key pointsto get front view

Glass Box Approach

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to get front view

Page 9: Theory of Projections [Compatibility Mode]

� Project all key pointsto get top view

Glass Box Approach

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to get top view

Page 10: Theory of Projections [Compatibility Mode]

� Project all key pointsto get right side view

Glass Box Approach

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to get right side view

Page 11: Theory of Projections [Compatibility Mode]

� Now unfold the glassbox

Glass Box Approach

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box

Page 12: Theory of Projections [Compatibility Mode]

Glass Box Approach

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� Object in a glass box � Unfolded glass box

Page 13: Theory of Projections [Compatibility Mode]

Elements of projection

Page 14: Theory of Projections [Compatibility Mode]

Planes of projections

• Basically 2 planes

• Intersecting at right angles

• V.P (Vertical Plane) & H.P. (Horizontal plane)

• Reference line xy• Reference line xy

• Front View (FV) or Elevation

• Top View (TV) or Plan

• Third is the PP (Profile Plane)

Page 15: Theory of Projections [Compatibility Mode]

DIRECTION OF

VISION FOR TV

VPIST

IIND

III RD

IVTHX

Page 16: Theory of Projections [Compatibility Mode]

Four quadrants

• Position of the object is described by above,

below, behind, in front of

• Planes are assumed to be transparent

• Can the object be situated in any of the • Can the object be situated in any of the

quadrants??

• If object in II or IV quadrant, TV and FV will

overlap.

Page 17: Theory of Projections [Compatibility Mode]

L (X) D (Z) H (Y)

Page 18: Theory of Projections [Compatibility Mode]

1st Angle Method of Method of Projection

Page 19: Theory of Projections [Compatibility Mode]

3rd Angle Method of Method of Projection

Page 20: Theory of Projections [Compatibility Mode]

I.S.I. Code of Practice

• The method of first-angle projection is the Britishstandard practice.

• The third-angle projection is the standardpractice followed in America and in the continent ofEurope.

• In our country, the first-angle projection methodwas formerly in use. The Indian StandardInstitution (I.S.I.), in its earlier versions of ‘IndianStandard Code of Practice for General Drawing’published in 1955 and revised in 1960 hadrecommended the use of third-angle projectionmethod.

Page 21: Theory of Projections [Compatibility Mode]

In the second revised version of thisstandard published in December 1973, thecommittee responsible for its preparation has leftthe option of selecting first or third-angleprojection method to the users.

Contd….

Persons engaged in engineering professionmay come across drawings from industries andorganizations following any one method.

It is therefore necessary for them to beperfectly conversant with both the methods.

Page 22: Theory of Projections [Compatibility Mode]

Example

Page 23: Theory of Projections [Compatibility Mode]

Symbolic Representation