EG UNIT-II PROJECTION OF LINES.ppt

VERY USEFUL

1. GE 8152 -ENGINEERING GRAPHICS
Dr.R.Ganesamoorthy.
Professor / Mechanical Engineering.
Chennai Institute of Technology.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
UNIT-II PROJECTION OF LINES
Object Line
It’s top view a, b
It’s front viewa’, b’
It’s side viewa’’, b’’

2. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
Theshortestdistancebetweenanytwopointsiscalleda"straightline".
Differentsurfacesandplanesformtheconfigurationorshapeofanyobject.
Thusastraightlineisthebasicconceptualfigureusingwhichanyobjectlikea
machinecomponentorastructuralelementisrepresented.
ThusprojectionofastraightlineisthefoundationofEngineeringDrawing.
Wehavestudiedtheprojectionsofgivenpoints,Joiningtherespective
projectionsoftwopointsthereforegivestheprojectionofthestraightline
joiningthetwopoints

3. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
Objectives-ProjectionofLines:
Definestraightline.
Drawtheprojectionsofastraightlinelocatedatdifferentpositionswithrespectto
theVPandtheHP.
Positionoflinearearrangedinplanes.

4. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
CoordinateSystem:

5. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
OrientationofLineinSpace:
Thepositionofstraightlineinspacecanbedescribedfollowing:
1.LinesparalleltoVPandperpendiculartoHP
2.LinesperpendiculartoVPandparalleltoHP
3.LinesparalleltobothVPandHP
4.LinesparalleltoVPandinclinedtoHP
5.LinesinclinedtoVPandparalleltoHP
6.LinesinclinedtobothVPandHP

6. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
NotationsofLinesinviews:
Followingnotationsshouldbefollowedwhilenamingdifferentviews
inprojections.
Object Line
It’s top viewa, b
It’s front viewa’, b’
It’s side viewa’’, b’’

7. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
Projectionofstraightlineonitsvariouspositions:
S. No Position of the line Front view Top view Traces
1
Lines parallel to both
VP and HP
True length and is
parallel to XY
True length and is
parallel to XY
NO
TRACES
2
Lines perpendicular
to VP and parallel to
HP
Point
True length and is
Perpendicular to XY
Only VT
No HT
3
Lines parallel to VP and
perpendicular to HP
True length and is
Perpendicular to XY
Point
Only HT
No VT
4
Lines parallel to HP
and inclined to VP
Shorter than true length
and is parallel to XY
Has true length and
true inclination
Only VT
No HT
5
Lines inclined to HP
and parallel to VP
Has true length and true
inclination
Shorter than true length and
is parallel to XY
Only HT
No VT
6
Lines inclined to both
VP and HP
Shorter than true length,
inclined to XY and angle is
not true inclination
Shorter than true
length, inclined to XY and
angle is not true inclination
Both HT
and VT

8. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
1.PerpendiculartotheHPandParalleltotheVP:

9. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
2.PerpendiculartotheVPandParalleltotheHP:

10. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.ThelinebothparallelVPandHP:

11. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.ParalleltotheHPandInclinedtotheVP:

12. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
5.ParalleltotheVPandInclinedtotheHP:

13. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
6.ThelinebothinclinedVPandHP:

14. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
6.ThelinebothinclinedVPandHP:

15. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
1.LinesparalleltobothVPandHP
1.AlineCD50mmlonghasitsendC,15mmabovetheHPand25mminfrontofthe
VP.ThelineiskeptparalleltobothHPandVP.drawitsprojections.

16. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
2.Linesperpendiculartooneplane
andparalleltoanotherplane
2.Aline55mmlonghasitsendE15mmabove
theHPand25mminfrontoftheVP.Thelineis
keptperpendiculartoHPandparalleltoVP.Draw
itsprojections.

17. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
2.Linesperpendiculartooneplane
andparalleltoanotherplane
3.AlineGH50mmlonghasitsendG20mm
abovetheHPand25mminfrontoftheVP.The
lineiskeptperpendiculartoVPandparallelto
HP.Drawitsprojections.

18. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.Lines inclined to one plane
and parallel to another plane
4.AlineAB55mmlongislyingontheHPand
makesanangleof35
0withtheVP.ItsendA
is25mminfrontofVP.Drawtheprojections
oftheline.

19. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.Lines inclined to one plane and
parallel to another plane
5.AlineAB50mmlonghasitsendA30mm
aboveHPand25mminfrontofVP.Theline
iskeptinclinedat40
0toHPandparalleltoVP.
Drawitsprojectionsandmakeitstraces.

20. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.Linesinclinedtooneplane
andparalleltoanotherplane
6.AlineAB50mmlonghasitsendA
25mmaboveHPand25mminfrontof
VP.Thelineisinclinedat45
0toVPand
paralleltoHP.Drawitsprojectionsand
alsomakeitstraces.

21. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.Lines inclined to one plane
and parallel to another plane:
7.AlineAB65mmlonghasitsendA20
mmaboveHPand30mminfrontofVP.
Itstopviewhasalengthof45mmand
parallelstoHP.Drawitsprojectionsand
findtheinclinationofthelinewithHP.
Answer:θ=46
0

22. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.Lines inclined to one plane
and parallel to another plane
8.AlineAB60mmlonghasitsendA30
mmaboveHPand15mminfrontofVP.
Itsfrontviewhasalengthof45mmand
parallelstoHP.Drawitsprojectionsand
findtheinclinationofthelinewithVP.
Answer:θ=46
0

23. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
3.Lines inclined to one plane
and parallel to another plane
9.AlineABhasitsendA30mmaboveHP
and20mminfrontofVP.Itisinclinedat
25
0totheVPandparallelstoHP.Drawits
projections,ifthedistancebetweenthe
endprojectorstobe55mm.Findthetrue
lengthofthelinealso.
Answer:TL=60mm.

24. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
10.Aline70mmlonghasoneend15mmabove
HPand30mminfrontofVP.Thelineisinclined
at35
0totheHP45
0totheVP.Drawthe
projectionoftheline.

25. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
11.OneendofalineAB70mmlong,is10mm
aboveHPand25mminfrontofVP.Thelineis
inclinedat25
0totheHP45
0totheVP.Drawthe
projectionsandfinditstraces.

26. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
12.AlineAB75mmlonghasoneendA20mm
aboveHPand25mminfrontofVP.TheendB
is50mmabovetheHPand60mminfrontofVP.
Drawtheprojectionofthelineandfindits
inclinationwithHPandVP.
Answer:θ=24
0
ϕ=28
0

27. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
13.OneendofalineABis10mmaboveHPand
20mminfrontofVP.Theotherendis45mm
aboveHPand65mminfrontofVPthedistance
betweentheendprojectoris40mm.Drawthe
projectionofthelineandfinditsinclinationand
length.
Answer:θ=30
0
ϕ=40
0
TL=70mm

28. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
14.AlineAB65mmlonginthefrontviewhasits
endA20mmaboveHPand15mminfrontof
VP.TheendBis45mminfrontofVP.Drawthe
projectionofthelineandfinditsinclinationwith
HPandVP.Thedistancebetweentheends
projectorspassingthroughtheendpointis50
mm.Drawtheprojectionofthelineandfindits
Inclination.Answer:θ=35
0
ϕ=25
0
TL=71mm

29. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
15.AlineAB80mmlonghasitsendA10mm,
aboveHPandintheVP.Drawtheprojectionof
thelinemakesanangleofinclinedat50
0
tothe
HPand30
0
totheVP.

30. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
16.OneendAofalineABis60mmlong30mm
aboveHPand25mminfrontofVP.Thetopand
frontviewhasalengthof35mmand55mm
respectively.Drawtheprojectionofthelineand
finditsinclination.
Answer:θ=55
0ϕ=25
0

31. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
17.AlineAB75mmlonghasoneofitsends
60mminfrontoftheVPand20mmabovethe
HPandtheotherendis20mminfrontofVPand
isaboveHP.Thetopviewofthelineis55mm
long.Drawtheprojection.

32. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
18.Thetopviewofalineis65mmlongandis
inclinedat30
0
tothereferenceline.Oneendis
20mmabovetheHPand10mminfrontofVP.
Theotherendis60mmabovetheHPandisfront
viewofVP.Drawtheprojectionofthelineand
finditsinclinationandlength.
Answer:
θ=32
0
ϕ = 25
0
TL = 76mm

33. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
19.OneendAofalineABis70mmlong15mm
aboveHPand20mminfrontofVP.Thetopand
frontviewhasalengthof35mmand55mm
respectively.Drawtheprojectionofthelineand
finditsinclination.
Answer: θ=21
0
ϕ = 41
0

34. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
20.OneendAofalineABis70mmlong20mm
aboveHPand25mminfrontofVP.Theline
inclinedat50
0
totheHPand30
0
totheVP.Draw
theprojectionofthelineandmarkthepointOon
it,whichis35mmawayfromoneendoftheline.

35. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
21.AlineAB60mmlonghasoneofitsends10
mminfrontoftheVPand20mmabovetheHP.
Thelineinclinedat40
0
totheHPand50
0
tothe
VP.Drawtheprojection.

36. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
22.AstraightlineABhasoneofitsends25mm
infrontoftheVPand20mmabovetheHPand
theotherendis60mmaboveHPandisinfront
ofVP.Theendsofthelinesareonthesame
Projector.Drawtheprojectionandfindthetrue
length, inclinations.
Answer:θ=45
0
ϕ = 45
0
TL = 57mm

37. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
23.Alinemeasuring65mmlonghasoneitsends
45mminfrontoftheVPand20mmabovethe
HP.Thetopviewofthelineis45mmlong.The
otherendisaboveHPandis20mminfrontofVP.
TheendsofthelinesareonthesameProjector.
Drawtheprojectionandfindthetruelength,
Inclinations
Answer:θ= 46
0 ϕ =23
0

38. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
24.ThefrontviewoflineABmeasures60mmand
makeanangleof45
0
withXYline.TheendAis
InHP.Theverticaltraceofthelineis10mmbelow
XY.Thetopviewisinclined30
0
toXY.Drawthe
projections,locateitstraces.
Answer:θ= 41
0
ϕ =26
0

39. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
MidpointsProblems
25.ThemidpointoflineAB70mmlong,is25mm
abovetheHPand40mminfrontofVP.It’s
inclinedat35
0
toHPand45
0
totheVP.Drawits
Projections.

40. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
MidpointsProblems
26.Theprojectionoflinemeasuring80mminthe
topviewand70mminthefrontviewthemid-
pointofthelineis45mm,infrontoftheVPand
35mmaboveHP.Oneendis10mminfrontof
VP
andnearertoit.TheotherendisnearertoHP.
Drawtheprojectionandfindthetruelength,
inclinations

41. GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF LINES
4.Linesinclinedtoboththeplane:
MidpointsProblems
27.AstraightlineABhasoneofitsendA,10mm
infrontoftheVPandnearertoit.Themid-point
mofthelineis50mm,infrontoftheVPand40mm
abovetheHP.Thefrontandtopviewmeasures
90mmand120mmrespectively.Drawthe
projectionandfindthetruelength,inclinations

42. GE8152-ENGINEERING GRAPHICS -UNIT-II PROJECTION OF LINES
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