Planes Presentation-R.SURYA KIRAN ,Asssistant Professor ,GITAM UNIVERSITY

8/12/2019 Planes Presentation-R.SURYA KIRAN ,Asssistant Professor ,GITAM UNIVERSITY

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PLANES


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R. SURYA KIRAN, Asst. Professor & A. RAVINDRA, Tech. Asst., GIT, GITAM University

Introduction

A plane is a visual surface has only twodimensions length & breadth but has nothickness.

A plane may be represented by

Three collinear points.

A line and a point not on the line.

Two intersecting lines.

Two parallel lines


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X

Y

1STQuad.2nd Quad.

3rd Quad. 4thQuad.

X Y

VP

HP

Observer


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HP

VP

a

a

A

POINTAIN

1STQUADRANT

OBSERVER

VP

HP

POINTAIN

2NDQUADRANT

OBSERVER

a

a

A

OBSERVER

a

a

POINTAIN

3RD QUADRANT

HP

VP

A

OBSERVER

a

aPOINTAIN

4TH QUADRANT

HP

VP

A

PROJECTION OF POINTON THE PLANES


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Q. Draw the projections of the following points on acommon XY line. Keep the distance between thetwo consecutive projectors as 20mm

A, 30mmabove the HP and 40mmin front of VP. B, 80mmabove the HP and 40mmbehind the VP. C, 30mmabove the HP and 40mmbehind the VP. D, 30mm below the Hp and 40mm in front of the

VP.

E, In the HP and 40mmin front of VP. F, In the VP and 40mmbelow the HP. G, In both the HP and the VP.


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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 bFv

Tv

For Tv

For Tv

A Line

Perpendicular to Hp

&

Parallel to Vp

A Line

Parallel to to Hp&

Parallel to Vp


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A LineInclined to HP

&

parallel to VP

X

Y

A

B

b

a

b

a

A LineInclined to VP

&parallel to HP

a b

a

b

BA

X Y

H.P.

V.P.

T.V.a b

a

b

X Y

H.P.

V.P.

a

b

a b

Tv

Fv


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Q. A regular hexagonal lamina, 20mm,rests on one of its sides on HP suchthat it is perpendicular to VP and is

inclined to HP at 450. Its cornernearest to the VP is 15mmaway fromthe VP. Draw its projections in the first

angle.


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X Y

45o


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Q. A regular hexagonal lamina of 20mmside rests on one of its sides on HP. Itis parallel to and 11 mm away from

VP and it is in first quadrant. Draw itsprojections.


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Q. A circular plate of 50mm dia is heldsuch that its plane is perpendicular toHP and inclined at 300 to VP with itscenter 30mm above the HP and 20mmin front of VP. Draw its projections.


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X Y

60o


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Q. A square lamina ABCD, of 30mm side,rests on its corner C in HP. Its plane isinclined at 450to the XY line such thatits diagonal DB is parallel to the HP andinclined at 300 to the VP Draw itsprojections when its corner D is

towards the VP and 15 mm in front ofit.


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Q. A thin circular plate of dia 64 mm has ahole of 32 mm side, cut centrallythrough it. Draw its projections whenthe plate is resting on the HP with itssurface inclined at 300 to the HP andan edge of square hole perpendicular to

the VP.


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Q. A square lamina ABCD of 30mm siderests on one of its corners on theground.Its plane is inclined at anangle of 300to the ground plane anddiagonal BD inclined at 600to the VPand parallel to the HP. Draw its

projections.


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Planes Presentation-R.SURYA KIRAN ,Asssistant Professor ,GITAM UNIVERSITY

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