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Orthographic Projection of Lines

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We must locate a hinge line parallel to one of the oblique lines and project it into that plane. ... F, P, and any auxiliary view hinged to the Horizontal plane. ... – PowerPoint PPT presentation

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Title: Orthographic Projection of Lines


1
Orthographic Projection of Lines
  • Definition A line may be defined as the path
    or locus of a point moving through space.
  • A straight line segment is the shortest distance
    between its end points.

2
Classification of Lines
  • Lines are classified according to the plane or
    planes of projection to which they are parallel.
  • The classifications are Horizontal, Front,
    Profile, Vertical, and Oblique, lines.

3
Classification of Lines
  • A Horizontal line is parallel to the Horizontal
    plane of projection.

4
Classification of Lines
  • A Front line is parallel to the Frontal plane of
    projection.

5
Classification of Lines
  • A Profile line is parallel to the Profile plane
    of projection.

6
Classification of Lines
  • A Vertical line is parallel to the Frontal and
    Profile planes of projection.

7
Classification of Lines
  • A Oblique line is not parallel to any of the
    principal planes of projection.

8
True Length of a line
  • An Oblique line can not be measured in either of
    the given views because it is not true length.

9
True length of a line
  • The true length of any line in space is found
    only upon a plane of projection parallel to the
    line.
  • We must locate a hinge line parallel to one of
    the oblique lines and project it into that plane.

10
True Length of a line
  • Place the hinge line parallel to FH and GH.

11
True Length of a line
  • Project perpendicular to the Auxiliary 1 plane.

12
True Length of a line
  • Locate F1 and G1 in the auxiliary plane.

13
Point View of a Line
  • The Point View of a line is found on a plane that
    is perpendicular to the true length image of the
    line.

14
Point View of a Line
  • Construct a hinge line perpendicular to the TL
    line and project into that plane.

15
Point View of a Line
  • Project perpendicular to the hinge line.

16
Point View of a Line
  • Measure distance from a Related Plane.

17
Bearing of a Line
  • Bearing is the deviation of a line from the
    North-South direction.
  • We will define the bearing as the acute angle
    between the line and a North-South line through
    the origin of the line.
  • The bearing of a straight line can be measured
    only in the horizontal projection of the line.
  • We will select the origin point of a line
    alphabetically. For example, given line AF,
    BFAF would be the origin because it comes first
    in the alphabet.

18
Bearing of a Line
19
Bearing of a Line
N 30 E
Origin
20
Bearing of a Line
N 72 W
Origin
21
Bearing of a Line
S 14 E
Origin
22
Bearing of a Line
S 51 W
Origin
23
Angle of a line.
  • Inclination is the deviation of a line from the
    horizontal.
  • The inclination of a line may be measured only in
    an ELEVATION view which shows the line in TRUE
    LENGTH.
  • The elevation views are F, P, and any auxiliary
    view hinged to the Horizontal plane.
  • Inclination is expressed as slope angle, slope,
    and percent grade.

24
Angle of a line.
  • The angle is positive () if inclined upward or
    negative (-) if inclined downward from its
    origin.
  • The Slope Angle of a line is the acute angle
    formed between the TL image and a horizontal
    plane through its origin.

25
Angle of a line.
  • The angle is positive () if inclined upward or
    negative (-) if inclined downward from its origin.

26
Angle of a line.
  • The angle is positive () if inclined upward or
    negative (-) if inclined downward from its origin.

27
Angle of a line.
  • Can the angle of line D,C be obtained from the
    given views?

28
Angle of a line.
  • ANSWER No. The line is in an elevation plane
    but is not from a TL line.

29
Angle of a line.
  • The true angle of a line can only be measure from
    an elevation plane and a TL line.

NOT TL
30
Angle of a line.
  • An Oblique line can not be measured in either of
    the given views because it is not true length.

31
Angle of a line.
  • Find TL in auxiliary plane 1. Measure from a
    horizontal line.

32
Slope of a line.
  • SLOPERISE RUN
  • Slope is the tangent of the slope angle

33
Slope of a line.
  • Find TL in auxiliary plane 1. Measure from a
    horizontal line.
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