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ENGINEERING GRAPHICS
Topic:
Projection of Lines
UNIT- 2
SIMPLE CASES OF THE LINE
1. A VERTICAL LINE ( LINE PERPENDICULAR TO HP & // TO VP)
2. A VERTICAL LINE ( LINE PERPENDICULAR TO VP & // TO HP)
3. LINE PARALLEL TO BOTH HP & VP.
4. LINE INCLINED TO HP & PARALLEL TO VP.
5. LINE INCLINED TO VP & PARALLEL TO HP.
STUDY ILLUSTRATIONS GIVEN ON NEXT PAGE
SHOWING CLEARLY THE NATURE OF FV & TV
OF LINES LISTED ABOVE AND NOTE RESULTS.
PROJECTIONS OF STRAIGHT LINES.
INFORMATION REGARDING A LINE means
IT’S LENGTH,
POSITION OF IT’S ENDS WITH HP & VP
IT’S INCLINATIONS WITH HP & VP WILL BE GIVEN.
AIM:- TO DRAW IT’S PROJECTIONS - MEANS FV & TV.
X
Y
X
Y
b’
a’
b
a
a b
a’
b’
B
A
TV
FV
A
B
X Y
H.P.
V.P.
a’
b’
a b
Fv
Tv
X Y
H.P.
V.P.
a b
a’ b’
Fv
Tv
For Tv
For Tv
Note:
Fv is a vertical line
Showing True Length
&
Tv is a point.
Note:
Fv & Tv both are
// to xy
&
both show T. L.
1.
2.
A Line
perpendicular
to Hp
&
// to Vp
A Line
// to Hp
&
// to Vp
Orthographic Pattern
Orthographic Pattern
(Pictorial Presentation)
(Pictorial Presentation)
A Line inclined to Hp
and
parallel to Vp
(Pictorial presentation)
X
Y
A
B
b’
a’
b
a


A Line inclined to Vp
and
parallel to Hp
(Pictorial presentation)
Ø
a b
a’
b’
B
A
Ø
X Y
H.P.
V.P.
T.V.
a b
a’
b’

X Y
H.P.
V.P.
Ø
a
b
a’ b’
Tv
Fv
Tv inclined to xy
Fv parallel to xy.
3.
4.
Fv inclined to xy
Tv parallel to xy.
Orthographic Projections
Projections of Line mechanical engineering and .ppt
X
Y
b’
a’
b
a
A
B
For Tv
Note:
Fv & Tv both are
// to xy
&
both show T. L.
1. A Line // to HP & // to VP
Q: A line AB = 50 mm long. Endpoints A & B are 30 mm above HP & 20 mm in front
of VP. Draw Projections.
ANSWER
(Pictorial Presentation)
A Line inclined to HP and parallel to VP
Q: A line AB = 50 mm long is inclined to HP at 30 degree. Endpoints A & B are
20 mm in front of VP. Endpoint A is 30 mm above HP. Draw projections. And
also draw trace of the line.
X
Y
A
B
b’
a’
b
a


2.
Fv inclined to xy
Tv parallel to xy.
(Pictorial Presentation) ANSWER
A Line inclined to VP and parallel to HP
Q: A line AB = 50 mm long is inclined to VP at 45 degree. The endpoints A & B
are 30 mm above HP. Endpoint A is 20 mm in front of VP. Draw projections.
Also locate the trace of the line.
Ø
a b
a’
b’
B
A
Ø
Tv inclined to xy
Fv parallel to xy.
3.
ANSWER
(Pictorial Presentation)
X
Y
b(a)
b’
a’
A
B
TV
FV
For Tv
Note:
Fv is a vertical line
Showing True Length
&
Tv is a point.
4.
A Line perpendicular to HP & // to VP
Q: A line AB = 50 mm long is perpendicular to HP. The end points A & B are 20
mm in front of VP. Endpoint A is 15 mm above HP. Draw Projections & also
locate the trace of the line.
ANSWER
(Pictorial Presentation)
5.
A Line perpendicular to VP & // to HP
Q: A line AB = 50 mm long is perpendicular to VP. The end points A & B are 20
mm above HP. Endpoint A is 15 mm in front of VP. Draw Projections & also
locate the trace of the line.
6. A Line in VP
Q: A line AB = 50 mm long is in VP. The end points A & B are 30 mm above HP.
Draw Projections.
7. A Line in HP
Q: A line AB = 50 mm long is in HP. The end points A & B are 20 mm in front of
VP. Draw Projections.
THANKS

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Projections of Line mechanical engineering and .ppt

  • 2. SIMPLE CASES OF THE LINE 1. A VERTICAL LINE ( LINE PERPENDICULAR TO HP & // TO VP) 2. A VERTICAL LINE ( LINE PERPENDICULAR TO VP & // TO HP) 3. LINE PARALLEL TO BOTH HP & VP. 4. LINE INCLINED TO HP & PARALLEL TO VP. 5. LINE INCLINED TO VP & PARALLEL TO HP. STUDY ILLUSTRATIONS GIVEN ON NEXT PAGE SHOWING CLEARLY THE NATURE OF FV & TV OF LINES LISTED ABOVE AND NOTE RESULTS. PROJECTIONS OF STRAIGHT LINES. INFORMATION REGARDING A LINE means IT’S LENGTH, POSITION OF IT’S ENDS WITH HP & VP IT’S INCLINATIONS WITH HP & VP WILL BE GIVEN. AIM:- TO DRAW IT’S PROJECTIONS - MEANS FV & TV.
  • 3. X Y X Y b’ a’ b a a b a’ b’ B A TV FV A B X Y H.P. V.P. a’ b’ a b Fv Tv X Y H.P. V.P. a b a’ b’ Fv Tv For Tv For Tv Note: Fv is a vertical line Showing True Length & Tv is a point. Note: Fv & Tv both are // to xy & both show T. L. 1. 2. A Line perpendicular to Hp & // to Vp A Line // to Hp & // to Vp Orthographic Pattern Orthographic Pattern (Pictorial Presentation) (Pictorial Presentation)
  • 4. A Line inclined to Hp and parallel to Vp (Pictorial presentation) X Y A B b’ a’ b a   A Line inclined to Vp and parallel to Hp (Pictorial presentation) Ø a b a’ b’ B A Ø X Y H.P. V.P. T.V. a b a’ b’  X Y H.P. V.P. Ø a b a’ b’ Tv Fv Tv inclined to xy Fv parallel to xy. 3. 4. Fv inclined to xy Tv parallel to xy. Orthographic Projections
  • 6. X Y b’ a’ b a A B For Tv Note: Fv & Tv both are // to xy & both show T. L. 1. A Line // to HP & // to VP Q: A line AB = 50 mm long. Endpoints A & B are 30 mm above HP & 20 mm in front of VP. Draw Projections. ANSWER (Pictorial Presentation)
  • 7. A Line inclined to HP and parallel to VP Q: A line AB = 50 mm long is inclined to HP at 30 degree. Endpoints A & B are 20 mm in front of VP. Endpoint A is 30 mm above HP. Draw projections. And also draw trace of the line. X Y A B b’ a’ b a   2. Fv inclined to xy Tv parallel to xy. (Pictorial Presentation) ANSWER
  • 8. A Line inclined to VP and parallel to HP Q: A line AB = 50 mm long is inclined to VP at 45 degree. The endpoints A & B are 30 mm above HP. Endpoint A is 20 mm in front of VP. Draw projections. Also locate the trace of the line. Ø a b a’ b’ B A Ø Tv inclined to xy Fv parallel to xy. 3. ANSWER (Pictorial Presentation)
  • 9. X Y b(a) b’ a’ A B TV FV For Tv Note: Fv is a vertical line Showing True Length & Tv is a point. 4. A Line perpendicular to HP & // to VP Q: A line AB = 50 mm long is perpendicular to HP. The end points A & B are 20 mm in front of VP. Endpoint A is 15 mm above HP. Draw Projections & also locate the trace of the line. ANSWER (Pictorial Presentation)
  • 10. 5. A Line perpendicular to VP & // to HP Q: A line AB = 50 mm long is perpendicular to VP. The end points A & B are 20 mm above HP. Endpoint A is 15 mm in front of VP. Draw Projections & also locate the trace of the line.
  • 11. 6. A Line in VP Q: A line AB = 50 mm long is in VP. The end points A & B are 30 mm above HP. Draw Projections.
  • 12. 7. A Line in HP Q: A line AB = 50 mm long is in HP. The end points A & B are 20 mm in front of VP. Draw Projections.