GE 8152 -ENGINEERING GRAPHICS
Dr.R.Ganesamoorthy.
Professor / Mechanical Engineering.
Chennai Institute of Technology.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
UNIT-II PROJECTION OF PLANES
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
What is Projection of Planes:
Aplaneisatwodimensionalobjecthavinglengthandbreadthonly.It’sthickness
isalwaysneglected.
Variousshapesofplanefiguresareconsideredsuchassquare,rectangle,circle,
pentagon,hexagon,etc.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Projection of Planes :
MeaningofTraceofaPlane:
Itisdefinedastheextensionofagivenplaneshapetothereferenceplane(HPorVP)
towhichitisperpendicularorinclined.
TheplanemeetstheHPorVPasaline.Thislineiscalledtraceofaplane.
HorizontalTrace(HT)&VerticalTrace(VT)aplane:
ThelineinwhichtheplaneshapemeetstheHPiscalledHT.
ThelineinwhichtheplaneshapemeetstheVPiscalledasVT.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Orientation of Planes in Space:
ThefollowingpositionofPlanesinspace:
PlanesParalleltoVPandPerpendiculartoHP.
PlanesPerpendiculartoVPandParalleltoHP.
PlanesParalleltobothVPandHPorbothPerpendicularVPandHP.
PlanesPerpendiculartoVPandInclinedtoHP.
PlanesInclinedtoVPandPerpendiculartoHP.
PlanesInclinedtobothVPandHP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Notations of object in Planes :
Followingnotationsshouldbefollowedwhilenamingdifferentviewsprojectionsof
planes.
Object Point
It’s top viewa , b, c ,…
It’s front viewa’ , b’, c’,…
It’s side viewa’’, b’’, c’’,…
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
1.AplaneperpendiculartoHPandparalleltoVP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
2.AplaneperpendiculartoVPandparalleltoHP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
3.AplaneperpendiculartobothVPandHPorPlanesParalleltobothVPandHP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
4.AplaneinclinedtoHPandperpendicularVP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
5.AplaneinclinedtoVPandperpendicularHP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
6.AplaneinclinedtobothVPandHP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
6.AplaneinclinedtobothVPandHP:
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
A plane resting on one of its base side on HP
A plane resting on one of its base side on VP
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Position in Projection of Planes :
A plane resting on one of its corner on HP
A plane resting on one of its corner on VP
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
Plane is perpendicular to HP and parallel to VP :
2.AnequilateraltriangleABCof50mmsideis
paralleltoVPand15mminfrontofV.P,itsbase
ABisparalleland75mmaboveH.P.Drawthe
projectionsofthetrianglewhenthecorneris
neartheH.P
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
Plane is perpendicular to VP and parallel toHP:
3.AsquarelaminaABCDofside40mmis
perpendiculartoVPandparalleltoHP.Drawits
projections
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
Plane is perpendicular to VP and parallel toHP:
4.AnequilateraltriangleABCof50mmsidehas
itsplaneparalleltoH.PandsideABparallelto
V.PDrawitsprojectionswhenthecornerCis15
mmfromH.Pand45mmfromtheV.P
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
A plane inclined to HP and parallel toVP
5.ArectangleABCDofsize40x25hasthecorner
A,10mmaboveHPand15mminfrontofVP.All
thesidesoftherectangleareinclinedat45
0toHP
andparalleltoVP.Drawtheprojectionoflamina.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
A plane inclined to HP and parallel toVP
6.Apentagonalplateofside30mmisplacedwith
onesideontheHPandthesurfaceinclinedat
50
0toHPandperpendiculartoVP.Drawthe
projectionoflamina.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
A plane inclinedtoHP and perpendicularVP:
7.Acircularplateofdiameter50mmisrestingnon
theHPonapointonthecircumferencewithits
surfaceinclinedat45
0toHPandperpendicularto
VP.Drawtheprojectionoflamina.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
A plane inclinedtoHP and perpendicularVP:
8.Acircleofdiameter50mminclinedat30
0toHPandperpendiculartoVP.Hasits
centre30mminfrontofVP.Drawtheprojectionoflaminaandsideview.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
A plane inclinedtoHP and perpendicularVP:
9.Aregularhexagonof25mmsideandHasitsalaminaisperpendiculartoVPand
inclinedat40
0HP.Drawthethreeviews.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
A plane inclinedtoHP and perpendicularVP:
10.Apentagonalplateofside30mmisplaced
withonesideontheHPandthesurface
inclinedat50
0toHPandperpendiculartoVP.
Drawtheprojectionoflamina.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtoVPandperpendicularHP
11.Ahexagonalplateofside30mmsidehasa
cornerat20mmfromVPand50mmfromHP.
Itssurfaceisinclinedat50
0toVPand
perpendiculartoHP.Drawtheprojectionof
lamina.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtoVPandperpendicularHP
12.Drawtheprojectionsofacircularlaminaof30mmdiameter.Thelaminaisinclinedaan
angleof45°toV.Pand25mmaboveHPincentreofcircularlaminaand15mminfrontofVP
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtoHPandperpendicularVP
13.ArectangleABCD30x60isperpendiculartoVPandinclinedat45
0HPDrawthe
projectionoflamina.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtoVPandperpendicularHP
14.Drawtheprojectionsofacircularlaminaof50mmdiameter.Thelaminaisinclined
aanangleof40°toV.Pandliesinaplane.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtoVPandperpendicularHP
15.Drawtheprojectionsofahexagonallaminaof30mmsidehasacornerat20mm
fromtheVPand50mmfromtheHP.Itssurfaceisinclinedat45°toV.Pand
perpendicularHP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneperpendicularbothVPandHP
16.AsquarelaminaPQRSofside40mmisperpendiculartoVPandHP.Drawits
projections
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneperpendicularbothVPandHP
17.Asemicircleofdiameter,CD=50iskeptin
the1stquadrantsuchthatitsdiameteris
perpendiculartoV.PandH.P,Drawits
projections,whenthediameterisnearV.P,
distanceofdiameterfromH.Pis15mmand
fromV.Pis20mm
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
18.Rectangle30mmand50mmsidesisrestingonHPononesmallsidewhichisat
30°inclinedtoVP.whilethesurfaceoftheplanemakesat45°inclinationwithHP.
Drawit’sprojections.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
19.Aregularpentagonof30mmsidesisrestingonHPononeofit’ssideswithit’s
surface45°inclinedtoHP.Drawit’sprojectionswhenthesideinHPmakes30°angle
withVP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
20.Arectangularplateof60x40mmhasoneofitsshorteredgeintheVPandinclined
40°totheHP.Drawitstopviewisasquareofside40mm.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
21.Aregularpentagonof30mmsidesisrestingonHPononeofit’ssideswhileit’s
oppositevertex(corner)is30mmaboveHP.DrawprojectionswhensideinHPis
30°inclinedtoVP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
22.AsquareplateABCDof50mmsidehasoneofitscornerAontheground,its
diagonalACinclinedat30°totheHPandthediagonalBDinclinedat45°totheVP
andparalleltotheHP.Drawitsprojection.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
23.AsquareplateABCDof40mmsidehasoneofitscornerAontheground,its
diagonalACinclinedat45°totheHPandapparentlyinclinedat30°totheVP.Draw
itsprojection.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
24.Apentagonallaminaof30mmsidehasoneedgeinHPandinclinedat30°to
theVP.Drawitsprojectionwhenitssurfaceisinclinedat45°totheHP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
25.Drawtheprojectionsofahexagonofside30mmhavingoneofitssidesinHPand
topviewinclinedat65°totheVPandthesurfacesinclinedat35°totheHP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
26.Acircularplateofdiameter60mmhastheendAofthediameterABintheHPand
theplateisinclinedat45°totheHP.DrawitsprojectionswhenthediameterAB
appearstobeinclinedat60°totheVPinthetopview.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
27.Anisoscelestriangleof40mmlongbaseside,60mmlongaltitudeisfreely
suspendedfromonecornerofBaseside.It’splaneis45°inclinedtoVP.Drawit’s
projections.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
28.Athincircularplatewith60mmdiameterappearsinthefrontviewasanellipseof
majorandminoraxes60mmand40mmlengthrespectively.Drawtheprojectionof
circularplatewhenoneofthediametersisparalleltoboththereferenceplanes.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
29.Aregularhexagonallaminaof25mmsidehasacentralsquareholeof20mm
size.Drawthefrontandtopviewswhenthesurfaceofthelaminaisinclinedat45
0to
theHP.Asideoflaminaisinclinedat35
0toVP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
30.Acircularlaminaofdiameter60mmhastheendAofthediameterABintheHP
andtheendBontheVP.Drawitsprojectionswhenthesurfaceinclinedat40
0tothe
HPand50
0toVP.
GE8152-ENGINEERING GRAPHICS UNIT-II PROJECTION OF PLANES
Problems in Projection of Planes:
AplaneinclinedtobothVPandHP
31.Drawtheprojectionsofapentagonalsheetof25mmsiderestingonVPhavingits
surfaceinclinedat30
0toVP.itsonesideisparalleltoVPandinclinedat45
0toHP.
GE8152-ENGINEERING GRAPHICS -UNIT-II PROJECTION OF PLANES
Thank you