ge 2111 - engineering graphics -...
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GE 2111 - ENGINEERING GRAPHICS
(Common to all branches of B.E. / B.Tech. Programmes) AIM
To develop graphic skills in students.
OBJECTIVES
To develop in students graphic skill for communication of concepts, ideas and design of engineering products and expose them to existing national standards related to technical drawings.
Concepts and conventions (Not for Examination) 1 Importance of graphics in engineering applications – Use of drafting instruments –BIS conventions and specifications – Size, layout and folding of drawing sheets –Lettering and dimensioning. UNIT I PLANE CURVES AND FREE HAND SKETCHING 15 Curves used in engineering practices: Conics – Construction of ellipse, Parabola and hyperbola by eccentricity method –Construction of cycloid – construction of involutes of squad and circle – Drawing of tangents and normal to the above curves. Free hand sketching: Representation of Three Dimensional objects – General principles of orthographic projection – Need for importance of multiple views and their placement – First angle projection – layout views – Developing visualization skills through free hand sketching of multiple views from pictorial views of objects. UNIT II PROJECTION OF POINTS, LINES AND PLANE SURFACES 14 Projection of points and straight lines located in the first quadrant – Determination of true lengths and true inclinations – Projection of polygonal surface and circular lamina inclined to both reference planes. UNIT III PROJECTION OF SOLIDS 15 Projection of simple solids like prisms, pyramids, cylinder and cone when the axis is inclined to one reference plane by change of position method.
UNIT IV SECTION OF SOLIDS AND DEVELOPMENT OF SURFACES 15 Sectioning of above solids in simple vertical position by cutting planes inclined to one reference plane and perpendicular to the other – Obtaining true shape of section. Development of lateral surfaces of simple and truncated solids – Prisms, pyramids, cylinders and cones – Development of lateral surfaces of solids with cylindrical cutouts, perpendicular to the axis. UNIT V ISOMETRIC AND PERSPECTIVE PROJECTIONS 15 Principles of isometric projection – isometric scale – isometric projections of simple solids, truncated prisms, pyramids, cylinders and cones. Perspective projection of prisms, pyramids and cylinders by visual ray method.
TOTAL: 75 PERIODS TEXT BOOKS: 1. N.D. Bhatt, “Engineering Drawing” Charotar Publishing House, 46th Edition, (2003). 2. Modeling software packages like solid edge, unigraphics and Auto CAD REFERENCES:
1. Dhananjay A.Jolhe, “Engineering Drawing with an introduction to AutoCAD” Tata McGraw Hill Publishing Company Limited (2008).
2. Basant Agarwal and Agarwal C.M., “Engineering Drawing”, Tata McGraw Hill Publishing Company Limited, New Delhi, (2008).
3. K. R. Gopalakrishnana, “Engineering Drawing” (Vol. I & II), Subhas Publications (1998). 4. K. V. Natrajan, “A text book of Engineering Graphics”, Dhanalakshmi Publishers, Chennai
(2006).
Publication of Bureau of Indian Standards: 1. IS 10711 – 2001: Technical products Documentation – Size and lay out of drawing sheets.
2. IS 9609 (Parts 0 & 1) – 2001: Technical products Documentation – Lettering.
3. IS 10714 (Part 20) – 2001 & SP 46 – 2003: Lines for technical drawings.
4. IS 11669 – 1986 & SP 46 – 2003: Dimensioning of Technical Drawings.
5. IS 15021 (Parts 1 to 4) – 2001: Technical drawings – Projection Methods.
Department of Mechanical Engineering
GE 2111 - Engineering Graphics
Unit – 1
1. Draw an ellipse given the following Distance of the focus from the directrix = 40mm Eccentricity = 3/4
Draw the tangent and normal
Q
C
D
D
M
N
P
1 3 5 7 9
P
P P
P
P1
3 5
7
9
P'
P' P'P'
P'1
3 57
9S
V2V1F
T
Y
X
1'
2'
3'
4'
5'
6'
7'
8'
9'
45°
45°
D'
D'
C'F21
40
2. Draw a parabola given the distance of the focus from the directrix as 45mm. Draw the tangent and normal
F
VC
X
Y
90°
N
M
Q
D
D
45°
S
1 2 3 4 5 6 7
8
1'
2'
3'
4'
5'
6'
7'
8'
P
P'
1
2
3
4
56
7
P
P
PP
PP
1
2
3
4
56
7
P'
P'
P'
P'P'
P'
45
3. Draw a hyperbola given the distance of focus from the directrix is 40mm and eccentricity as 3/2. Draw the tangent and normal
CV
90°
FA
N
M
P
Q
1
2
3
4
5
S
X
Y
1 2 3 4 5
1'
2'
3'
4'
5'
P'
P'
P'
P'
P'
1
2
3
4
5
40D
P
P
P
P
P
45°
90°
4. Draw a cycloid of given the diameter of the generating circle as 40 mm. Draw the
tangent and normal
1
2
3
4
57
6
8
9
10
1112 P Q
PP
P
P
P1
4
5
6
C
2
C C C C C1 3 5 7 9 11
C C'
E
N
T
T
D
O40
5. Draw the involute of a hexagon of side 15mm. Draw the tangent and normal
INVOLUTE OF A HEXAGON
A
B
C D
E
F
M
NT
T
O
12
3
4
5
6
15
PP
P
PP
P
PERIMETER = 90
6. Draw the involute of a circle of diameter 30mm. Draw the tangent and normal
1
2
3
4
56
9
10
1' 2' 3' 4' 5' 6' 7' 8' 9' 10' 11' 12'
7
8
P
P
PP
P
P
P
P
P
P
P
P
PQ
1
24
5
6
3
7
8
9
10
11
12
T
T
C
O
B
N
M
INVOLUTE OF A CIRCLEO 30
Unit - 2
1. A straight line AB of 75mm long is inclined at 30o to H.P. and 45o to V.P. The end A is 15mm in front of V.P. and 20mm above H.P. Draw the projections of the line.
2015
30°
45°
X Y
a
a'
b
b'
b1'
b1
b2
b2'
75
75
Locus of b'
Locus of a'
Locus of a
Locus of b
VP
HP
2. A straight line 85mm long has one end 15mm in front of V.P. and 10mm above H.P. , While the other end is 60mm in front of V.P. and 45mm above H.P. Draw the plan and elevation of the line . Determine the inclinations of the line to H.P. and V.P.
Y
VP
HP
TL
TL
a'
a
b' b1'
b2'
b1
b2b
4560
29°
36°
X
3. A line AB of 75mm long has one of its ends 60mm in front of V.P. and 20mm above H.P. the other end is 20mm in front of V.P. and is above H.P. The top view of the line is 55mm long. Draw the front view.
X
55
2060
Y20
TL
b' b1'
b
a'
a b1
H.P
V.P
4. A line measuring 80mm long has one of its end 60mm above H.P. and 20mm in front of V.P. The other end is 15mm above H.P. and in front of V.P. The front view of the line is 60mm long. Draw the top view.
X Y
V.P
H.P
60
6020
15
80
Front View Length a'b1'
b'
a
b1 b
TL
5. A line PQ 60mm long has its end P, 15mm above HP and 20mm in front of VP. Its top view and front view measures 50mm and 40mm respectively. Draw its projections and determine its true inclinations with HP and VP.
X Y
V.P
H.P
q' q1' Locus of q'
p
p'
q q2
q1
q2'
1520
40
50Top View Length
Front View Length
Locus of p'
Locus of p
Locus of q
TL
TL
33°
48°
6. A line AB has its end A 15mm above HP and 20mm in front of VP. The end B is 60mm above HP and the line is inclined at 300 to HP. The distance between the end projectors of the line is 55mm. Draw the projections and find its inclination with VP.
X Y
V.P
H.P
Locus of b
Locus of b'
Locus of a
Locus of a'
TL
a
a'
b2
b1
b2'
b1'b'
b
60
1520
55
45°38°
30°
39°
7. A regular pentagonal lamina of 25mm side has its one edge parallel to and 20mm above
XY. One of its sides making an angle of 25o with vertical plane and the lamina is perpendicular to VP. Draw its projections.
p
q r
s
t
p' s'r't'q'
p
qr
s
t
p' q' t' r's' s'
25°
25
X Y
8. An equilateral triangle of side 30mm stands on HP and one of its edges is inclined at 15 o to HP. The lamina is parallel to VP and 20mm in front of it. Draw its projections.
15°
30q
r
p
p'
q' r'
p'
r'
q'
q p r
p"
r"
q"X Y
9. A square lamina of 50mm side is perpendicular to both VP and HP. One of its edges is 30mm above HP and 25mm in front of VP. Draw its projections.
10. Draw the projections of rhombus having diagonals 100mm and 40mm long when the smaller diagonal of which is perpendicular to VP and other diagonal is inclined at 300 to HP.
11. A regular hexagonal lamina of 40mm side is resting on its one of its corner on HP. Its surface is inclined at 45o to HP. The plan of the diagonal through the corner which on hp makes an angle of 45o with XY. Draw is projections.
Unit - 3
1. Hexagonal prism of base side 30mm and axis 60mm is resting on HP on one of its base side with its axis inclined at 400 to HP and parallel to VP. Draw its projections.
2. Draw the projection of a tetrahedron of base side 30mm is kept such that a face is perpendicular to both HP and VP and one of its edges in HP and perpendicular to VP.
3. Draw the projections of a square pyramid of 40mm side and axis 60mm long when its lies
on the HP with its slant edge and axis parallel to VP.
4. A cylinder of base diameter 50mm and altitude 70mm is tilted until the axis makes an angle of 600 with the HP and parallel to VP. Draw the projections of the cylinder.
5. Draw the projections of a cylinder 75mmdiameter and 100mm long, lying on the HP with its axis inclined at 30o to the VP and parallel to the HP.
6. A cone of base diameter 50mm and axis height 65mm is resting on HP on a point on the circumference of the base with its axis inclined at 40o to VP and parallel to HP. Draw its projections.
Unit - 4
1. A cube of side 25mm rests on the HP on its faces with a vertical face inclined at 350 to the VP. A plane perpendicular to the HP and inclined at 500 to the VP cuts the cube, 3mm away from the axis. Draw the top view and sectional front view.
25°
a
b
c
d
30
p
q
r
s
40°
60
a' b' c' d'
p' q' r' s'X
Y
2. A right circular cone of base diameter 40mm and axis length 60mm rests on its base on the HP. It is cut by a plane perpendicular to the HP and inclined at 450 to the VP. The shortest distance between the cutting plane and the plan of the axis is 10mm. Draw the plan and sectional elevation
45°
30°
o'
a
b
c
d
o
X Ya' b' (d') c'
60
25
30
3. A pentagonal pyramid of base side 20mm and altitude 55mm rests its base on the HP with
one of the base edges perpendicular to the VP. It is cut by a plane inclined at 50% to the base. The cutting plane meets the axis at 15mm above the base. Draw the front view and sectional top view
a c
de
o
o'
a' (e') b' (d') c'XY
35°
75
35
4. A cylinder of diameter 45mm and height 65mm rests on its base on the HP. It is cut a plane perpendicular to the VP and inclined at 300 to the HP. The cutting plane meets the axis at a distance of 30mm from the base. Draw the front view and sectional top view
30
65
a
b
c
d
e
f
gh
p
q r
st
u
v
w
a' b' c' e' f'
(h') (g') (f')
p' q' r' s' t'
(u')(v')(w')
30°
X Y
O45
5. A cone of base diameter 50mm and axis 75mm resting on HP on its base. It is cut by a plane inclined at 45o to HP and perpendicular to VP and is bisecting the axis. Draw the front view and sectional top view.
a
b
c
d
e
f
gh
o
o'
a' b' c' d' e'
(f')(g')(h')
45°
75
37,5
X Y
O 50
6. A cone of base diameter 50mm and axis length 60mm stands with its base on HP and it is cut by a plane of 50o to HP and perpendicular to VP and passing through a point on the base circle of a cone. Draw the sectional top view and front view.
X Y
oa
b
c
d
e
f
gh
o'
a' b' c' d'e'
(f')(g')(h')
50°
60
7. A hexagonal prism of base 20mm axis 50mm rest with base on H.P. such that one of its rectangular face is parallel to V.P. and it is cut by a plane inclined at 450 to H. P. and passing that the right corner of top face of the prism & develop the truncated prism.
8. A pentagonal pyramid of base 30mm and axis 50mm rest with base on H.P. one of the edge is parallel to V.P. and it is cut by a plane inclined at 300 & passing through the axis 30mm above the base.
9. Draw the development of the lower portion of a cylinder of diameter 50mm and axis 70mm when sectioned by a plane inclined at 400 to HP and perpendicular to VP and bisecting the axis.
a
b
c
d
e
f
gh
c1
a1
b1d1
e1
f1g1
h1
a1' b1' c1' d1' e1'
h1' g1' f1'
a' b' c' d' e'
f'g'h'
40°
35
a b c d e f g h a
a1 b1 c1 d1 e1 f1 g1 h1 a1
1'
2'
3'
4'
5'
6'
7'
8'
O50
10. A cylinder of base diameter 50mm and axis 70mm is resting on HP on its base. A cylindrical hole of 40mm diameter is drilled on the surface of the cylinder. The axis of the hole intersects with the axis of the cylinder at right angles and bisects axis of this cylinder. Draw the development of the lateral surface of the cylinder.
11. A cone of base diameter 50mm and axis length 70mm rests with its base on HP. A section plane perpendicular to VP and inclined at 350 to HP and bisects the axis of the cone. Draw the development of the truncated cone.
35°
a
b
c
d
e
f
gh
a' b' c' d' e'
f'h' g'
o'
o
12
34
5
67
8
74,33
35
70
a
bc
d
e
f
g
h
a
1 23
45
67
8
1
O
120°
O 50
12. A cone of base diameter 50mm and height 70mm is resting on its base on HP. It is cut by a plane perpendicular to both VP & HP at a distance 15mm to the left of the axis. Draw the development of the lateral surface of the right remaining portion.
Unit – 5
1. A hexagonal prism of base side 30mm and height 60mm has square hole of 20mm at the centre. The axes of the square and hexagon coincide. One of the faces of the square hole is parallel to the face the hexagon. Draw the isometric view of the prism with hole to full face.
p
q r
s
tu
(p')
(q') (r')
(s')
(t')(u')
a(a') b(b')
c(c')d(d')
(1)
(2) (3)
(4)
p u(q) t(r) s
X Y
a(d) c(b)
p' u'(q') s't'(r')
P
Q
R S
T
U
AB
CD
P1
Q1
R1S1
T1
U1
A1B1
C1D1
1
2
3
450
25
30°
2. A pentagonal pyramid, base20mm and height 65mm stand with its base on HP. An edge of
the base is parallel to VP and nearer to it. A horizontal section plane cuts the pyramid and passes through the point on the axis at the distance of 25mm from the apex. Draw the isometric view of the frustum of the pyramid.
1
3
2
45
1
2
3
45
a c
de
AB
C
D
E
P
Q
R
S1
1
1
1
P
Q
R
S
p(p ) q(q )
r(r )s(s )
1 1
1 1
o
a' b' c'(e') (d')
X Y
O'
S P1' 2' 3'(4')(5')
65
25
30°
40
tu
v
x
x t
uv
3. Draw the isometric view of a hexagonal pyramid of base side 30mm and height 70mm rests on its base on HP with a base edge parallel to VP. It is cut by a plane perpendicular to VP inclined at 45o to HP and meeting the axis at 40mm from the base.
45°
a
b c
d
ef
p q
rs
1
2
41
2 3
3
1
1 1
2 2
X Y
1'2'
3'
4'
0'
1 2 3 4
B
CD
E
T
U
P
Q
R
21
22
31
32
41
12
34
t'
u'
30
4. A cone of base diameter 60mm and 75mm height resting on the ground on its base. It is cut by a plane perpendicular to VP, inclined at 30o to HP and meeting the axis at 25 mm from the apex. Draw the isometric view of the truncated cone.
a
b
c
d
e
f
g
h
1
23
4
5
678
p q
rs
o
a' b' c' d' e'
g' f'h'
o'
1'2'
3'4' 5'(6')
(7')(8')
X Y
1 2
3
456
78
30°
P
QS
75
25 30°
O60
5. A cylinder of 50mm diameter 60mm height stands on HP. A section plane perpendicular to VP inclined at 55o to HP cuts the cylinder passing through a point on the axis at a height of 45mm above the base. Draw the isometric view of the truncated portion of the cylinder such that the cut surface is clearly visible to the observer.
a
b
c
d
e
f
g
h
p q
rs
o
1'
2'
3'
4'
(7')
(6')
(5')
a' b' c' d' e'(h') (g') (f')
1
7
45Q
P R
S
1
2
3
4
5
6
7
A
B CD
E
F
GH
K
L
60O
5055°
6. A cylindrical slab 50mm in diameter and 45mm height surmounted by a cube of 30mm edge. A square pyramid of altitude 45mm and side of 25mm rests, on the top of the cube with the side of its base parallel to the side of the top of cube. The axes of the solids are collinear. Draw the Isometric view.
a
b c
d
(1)
(2) (3)
(4)
e
f g
h
o
o'
b'(a') c'(d')
2'(1') 3'(4')
f'(e') g'(h')
A
B
C
D
1
2
3
4
O
50
4530
45
O50
30
4530
45
25
Solved university question papers
B.E./ B.Tech. DEGREE EXAMINATIONS, JANUARY 2012 (FN)
First Semester GE 2111 – ENGINEERING GRAPHICS
(Common to all branches) (Regulations 2008)
Time: Three hours Maximum: 100 marks
Answer ALL questions (5 X 20 = 100 marks)
1. (a) Draw the involute of a circle of diameter 50mm when a string is unwound in the clockwise direction. Draw a tangent and normal at a point located on the involute.
O50
157
1 2 3 4 5 6 7 8 9 10 11 12P1
P2P3P4
P5
P6
P7
P8
P10
P11
P9
T
TN
C
INVOLUTE
(OR)
1. (b) Make free hand sketches of the front, top and right side views of the object shown below.
FRONT VIEW
TOP VIEW
RIGHT SIDE VIEW
60
15
11
88
25
19
35
2. (a) The front view of a line AB 90mm long is inclined at 450 to XY line. The front view measures 65mm long. Point A is located 15mm above HP and is in VP. Draw the projections and find its true inclinations.
45°
65
90
90
63
Locus of a'
Locus of b'
Locus of b
xy
a'
b'
a
b
b1'
b1
(OR)
2. (b). A hexagonal lamina of side 30mm rests on one of its edges on HP. This edge is
parallel to VP. The surface of the lamina is inclined 600 to HP. Draw its projections.
a
b c
d
ef
a' b'(f') c'(e') d'
60°
a'
b'(f')
c'(e')
d'
a
b c
d
ef
30
Y
3. (a). A hexagonal prism of side of base 25mm and axis 60mm long is freely suspended from a corner of the base. Draw the projections by the change of position method.
a(1)
b(2)
c (3)
d(4)
e (5)
f(6)
1'(6') 2'(5') 3'(4')
a'(f') b'(e') c'(d')
g
11'(61')
21'(51')
31'(41')
g
a1'(f1')
b1'(e1')
c1'(d1')
31
41
61
11
21
a1
b1
c1
d1
e1
f1
60
15
25
51
XY
(OR)
3. (b). A cylinder, diameter of base 60mm and height 70mm, is having a point of its
periphery of base on HP. With axis of the cylinder inclined to HP at 45o and parallel to
VP. Draw the projections of the cylinder.
45°
70
O 60
a (1)
b(2)
c (3)
d (4)
e (5)
f (6)
g (7)h(8)
1' 2'(8') 3'(7') 4'(6') 5'
a' b' (h') c'(g') d'(f') e'
11'
41'(61')51'
3'1(71')
21'(81')
a'1
b1' (h1')
c1'(g1')
d1'(f'1)
e'1
11
21
31
41
51
61
71
81
a1
b1
c1
d1
e1
f1
g1
h1
X Y
4. (a) A cone of base 75mm diameter and axis 80mm long is resting on its base on the HP. It is cut by a section plane perpendicular to the VP and parallel to and 12mm away from one of its end generators. Draw its front view, sectional top view and true shape of the section.
80
D75
12
a
b
c
d
e
f
g
h
o
a b'(h') c'(g') d'(f') e'
o'
12(7)
3(6)
4(5)
1
2
3
4
5
6
7
X Y
(OR)
4. (b). A regular hexagonal pyramid side of base 30mm and height 60mm is resting
vertically on its base on HP such that two of its sides of the base are perpendicular to
VP. It is cut by a plane inclined at 400 to HP and perpendicular to VP. The cutting
plane bisects the axis of the pyramid. Obtain the development of the lateral surface
of the truncated pyramid.
30
SL
SL
a
b
c
d
e
f
o
a'(b') c'(f') d'(e')
o'60
1(6)
2(5)
3(4)3"(4")
2"(5")
1"(6")
O
A
B
C
D
E
F
A
1
2
3
4
5
6
1
DEVELOPMENT OF SURFACES
5. (a) A cone of diameter of base 60mm and height 65mm rests with its base on HP. A cutting plane perpendicular to VP and inclined at 300 to HP cuts the cone such that it passes through a point on the axis at a distance of 30mm above the base of the cone. Draw the isometric projection of the truncated cone showing the cut surface.
p i j k l m q
s rP
Q
R
S
1'2'(8')
3'(7')
4'(6') 5'
1
23 4
5
67
8
9,61
47,14
(OR)
5. (b) A square prism of base 25X25mm and height 40mm is resting on the GP on its square base with a right side rectangular face making 600 with picture plane. The corner
nearest to the PP is 40mm to the left of the station point and 20mm behind the PP. The
station point is 60mm above the GP and 50mm in front of the PP. Draw the perspective
view of the prism by using Visual Ray Method.
60°
25
40
q(2)
r(3)
p
e'
e
1 2 3 4
p q r s
PQ
R
S
1
2
3
4
PP
GP
p(1)
q(4)
6050
B.E./ B.Tech. DEGREE EXAMINATIONS, JANUARY 2012 (AN) First Semester
GE 2111 – ENGINEERING GRAPHICS (Common to all branches)
(Regulations 2008) Time: Three hours Maximum: 100 marks
Answer ALL questions (5 X 20 = 100 marks)
1. (a) Draw the locus of a point P which moves in a plane in such a way that the ratio of its distances from a fixed point F and a fixed straight line AB is always 2/3. The distance between the fixed point F and fixed straight line is 50mm. Also draw a tangent and normal on a point on the locus at a horizontal distance of 55mm from the fixed straight line.
Q
C
D
D
M
N
P
1 3 5 7 9
P
P P
P
P1
3 5
7
9
P'
P' P'P'
P'1
3 57
9S
V2V1F
T
Y
X
1'
2'
3'
4'
5'
6'
7'
8'
9'
45°
45°
D'
D'
C'F21
50
(OR)
1. (b) Draw the free hand sketches of the front view, top view and right side view of the
machine component given belowinfigure.
2. (a) A line PQ measuring 70mm is inclined to HP at 300 and to VP at 450 with the end P
20mm above HP and 15mm in front of VP. Draw its projections.
30°
45°
45°
55°
70
70
p'
p
q'
q
q1'
q2'
q1
q2
XY
cd
gh
a b
e f
2015
Locus of q'
Locus of q
p'q' = Final Front View
p q = Final Top View
(OR)
2. (b) A rectangular plate of side 50 X 25mm is resting on its shorter side on HP and inclined at 300 to VP. Its surface is inclined at 600 to HP. Draw its projections.
a b
cd
a' (d') b' (c') a' (d')
b' (c')
d
a b
c
X Y
a
d
b
c
b' c'
a' d'
30°
60°
VP
HP
3. (a) Draw the projections of a pentagonal prism of 30mm base edges and axis 60mm long
when the axis is inclined at 750 to the HP and parallel to the VP with an edge of the base on the HP.
30
b
c
d
e
a
a'b' (e') c' (d')
(1)
(2)
(3)
(4)(5)
1' 2' (5') 3' (4')
1' 2' (5')
3' (4')
c' (d')
b' (e')a'
1
5
2
(3)
(4)
a
b
c
d
e
Final Front view
Final Top view
X Y
VP
HP
75°
(OR)
3. (b) A right regular hexagonal pyramid, edge of base 25mm and height 50mm, rests on one of its base edges on HP with its axis parallel to VP. Draw the projections of the pyramid when its base makes an angle of 450 to the HP.
25
1
2
3
4
5
6
0
0'
1' (6') 2'(5') 3' (4')
1' (6')
0'
3' (4')
2'(5')
1
2
3
4
5
6
0
X Y
Final Top view
Final Front view
VP
HP
45°
4. (a) A square pyramid base 40mm side and axis 65mmlong has its base on HP and all the
edges of the base are equally inclined to VP. It is cut by a section plane perpendicular to VP and inclined at 450 to HP and bisecting the axis. Draw its sectional top view, and the true shape of the section.
a
b
c
d
a' b' (d') c'
o
o
1'
2" 3"2'3'
1
2
3
YXX1
Y1
4'
45°
5'
4
5
1
2
3
45
65
VP
HP
Sectional Top View
True shape of the Section
40
H
T
Section Plane
Auxillary Plane Parallelto the cutting plane (HT)
(OR)
4. (b) Draw the development of the lateral surface of the lower portion of a cylinder of diameter 50mm and axis 70mm. the solid is cut by a section plane inclined at 400 to HP and perpendicular to VP and passing through the midpoint of the axis.
a (1)
b (2)
c (3)
d (4)
e (5)
f (6)
g (7)
h (8)
1'
a'b' (h') c' (g') d' (f') e'
2' (8') 3' (7') 4' (6') 5'
p'q'
r'
s'
t'
(v')
(u')
(w')
1 2 3 4 5 6 7 8 1
a b c d e f g h a
p
q
r
st
u
v
w
p
157
40°O50
70
5. (a) Draw the isometric projection of the object from the views shown below.
72
10,1
2426
101630
10
10
(OR)
5. (b) A rectangular pyramid, base 30mm X 20mm and axis 35mm long, is placed on the ground plane on its base, with the longer edge of the base parallel to and 30mm behind the picture plane. The central plane is 30mm to the left of the apex and station point is 50mm in front of the picture plane and 25mm above the ground plane. Draw the perspective view of the pyramid.
a' (d') b' (c")
o'
a b
cd
o
e
e'
d1 a1 01 c1 b1
A'
D'
B'
C'
O'
30
15
30
20
5025
35
PP
GL
HL
B.E./ B.Tech. DEGREE EXAMINATIONS, JANUARY 2010
First Semester
GE 2111 – ENGINEERING GRAPHICS (Common to all branches)
(Regulations 2008)
Time: Three hours Maximum: 100 marks Answer ALL questions
(5 X 20 = 100 marks)
1. (a) The focus of a conic is 50mm from the directrix. Draw the locus of a point P moving in such a way that its distance from the directrix is equal to its distance from the focus. Name the curve, Draw a tangent to the curve at a point 60mm from the directrix.
CV F
A
P
Q
1
2
3
4
5
S
X
Y
1 2 3 4 5
1'
2'
3'
4'
5'
P'
P'
P'
P'
P'
1
2
3
4
5
D
P
P
P
P
P
90°
20
NT
T
N
(OR)
1. (b). Make free hand sketched of the front, top and right side views of the object shown below.
130
2010
70
70
R 7,5
O14
R 20
30
20
15 40 15
Front View
Top View
Right Side View
2. (a) The projections of a line measure 80mm in the top view and 70mm in the front view. The mid-point of the line is 45mm in front of VP and 35mm above HP. One end is 10mm in front of VP and nearer to it. The other end is nearer to HP. Draw the projections of thye line. Find the ture length and true inclinations.
s
t
s'
t'
s1
X Y
s1'
t1
t1'
s2'
s2
t2'
t2
m
m'
VP
HP
e f
a b
Locus of T in the Front view
Locus of T in the Top View
c d
g h
4535
10
98,99
45°
36°
(OR)
2. (b). Draw the projections of a circle of 70mm diameter resting on the HP on a point A of
the circumference. The plane is inclined to the HP such that the top view of it is an ellipse of minor axis 40mm. The top view of the diameter through the point A is making an angle of 450 with the VP. Determine the inclination of the plane with the HP.
70
a
a' b' (d') c' a'
b
c
d
a c
b
d
c
b' (d')
b
a
c
d
X YVP
HPa'
d'b'
c'
45°
40
55°
3. (a) An equilateral triangular prism 20mm side of base and 50mm long rests with one of its
shorter edges on HP such that the rectangular face containing the edge on which the prism rests is inclined at 300 to HP. The shorter edge resting on HP is perpendicular to VP.
a (1)
b (2)
c (3)
1'
a' b' (c')
2' (3')
1'
a'
b' (c')
2' (3')
1'
2'
3'
a'
b'
c'
X YVP
HP
50
20
30°
Final Front View
Final Top View
(OR)
3. (b). Draw the projections of a hexagonal pyramid with side of the base 30mm and axis
70mm long, when it is resting with one of the base sides on HP such that the triangular face containing that side is perpendicular to HP and axis is parallel to VP.
a
b
c
d
e
f
o
a' (f') b' (e') c' (d')
o'
a' (f') b' (e')
c' (d')
o'
a
f
e
b
d
c
o
X YVP
HP
Final Front View
Final Top View
30
70
4. (a) A vertical cylinder 40mm diameter is cut by a vertical section plane making 300 to VP in
such a way that the true shape of the section is a rectangle of 25mm and 60mm sides. Draw the projections and true shape of the section.
30°
60
25
XY
1
2
1,'
2,'
3,'
4,'
1'2'
3'4'
(3)
(4)
60
O 40
(OR)
4. (b). A rectangular hexagonal pyramid side of base 30mm and height 60mm is resting vertically on its base on HP such that, two of its sides of the base are perpendicular to VP. It is cut by a plane inclined at 400 to HP and perpendicular to VP. The cutting plane bisects the axis of the pyramid. Obtain the development of the lateral surface of the truncated pyramid.
a
b
c
d
e
f
a' (f') b' (e') c' (d')a1'
1' (2')
3' (4')
5' (6')
1
2
3
4
5
6
o'
23,41
10,14
25,62
A
B
C
DE
F
A
O1
13
5
6
4
2
30
30
60
5. (a) A cylinder of 50mm diameter and 75mm height stands with its base on HP. It is cut by a
section plane inclined at 450 to HP and perpendicular to VP passing through a point on the axis 20mm below the top end. Draw the isometric projection of the truncated cylinder.
a
b
c
d
e
f
g
h
p q
rs
o
1'
2'
3'
4'
(7')
(6')
(5')
a' b' c' d' e'(h') (g') (f')
1
7
55
Q
P R
S
1
2
3
4
5
6
7
A
B CD
E
F
GH
K
L
75O
5045°
(OR)
5. (b). Draw the perspective projection of a cube of 25mm edge, lying on a face on the ground plane, with an edge touching the picture plane and all vertical faces equally inclined to the picture plane. The station point is 50mm in front of the picture plane, 35mm above the ground plane and lies in a central plane which is 10mm to the left of the centre of the cube.
a(1)
b(2)
c(3)
d(4)
2'(4') 3'
a' b'(d')c'
a dc
b
A
1
D
4
B
2
3
C
1'
e'
e
50
35
25
25
10
PP
GP
B.E./ B.Tech. DEGREE EXAMINATIONS, JANUARY 2010 (AN)
First Semester GE 2111 – ENGINEERING GRAPHICS
(Common to all branches) (Regulations 2008)
Time: Three hours Maximum: 100 marks
Answer ALL questions (5 X 20 = 100 marks)
1. (a) Draw a hyperbola when the distance between its focus and directrix is 50mm and
eccentricity is 3/2. Also draw the tangent and normal at a point 25mm from the directrix.
CV F
A
P
Q
1
2
3
4
5
S
X
Y
1 2 3 4 5
1'
2'
3'
4'
5'
P'
P'
P'
P'
P'
1
2
3
4
5
D
P
P
P
P
P
90°
20
NT
T
N
(OR)
1. (b). Make free hand sketches of front, top and right side views of the 3D object shown below.
R.S.VIEW FRONT VIEW
TOP VIEW
60 20
O10
50
20
20
2. (a) A line PQ has its end P, 10mm above thr HP and 20mm in front of the VP. The end Q is 35mm in front of the VP. The front view of the line measures 75mm. The distance between the end projectors is 50mm. Draw the projections of the line and find its true length and its true inclinations with the VP and HP.
X Y
Locus of q'
Locus of p'
Locus of p
Locus of q
p
q q1
p'
q' q1'
47°
48°
11°
17°
TRUE LENGTH = 76.5mm
75
52,2
50
(OR)
2. (b) Draw the projections of a circle of 70mm diameter resting on the HP on a point A of the circumference. The plane is inclined to the HP such that the top view of it is an ellipse of minor axis 40mm. The top view of the diameter , through the point A is making an angle of 450 with the VP. Determine the inclination of the plane with the HP.
70
a
a' b' (d') c' a'
b
c
d
a c
b
d
c
b' (d')
b
a
c
d
X YVP
HPa'
d'b'
c'
45°
40
55°
3. (a) An equilateral triangular prism 20mm side of base and 50mm long rests with one of its shorter edges on HP such that the rectangular face containing the edge on which the prism rests is inclined at 300 to HP. The shorter edge resting on HP is perpendicular to VP.
a (1)
b (2)
c (3)
1'
a' b' (c')
2' (3')
1'
a'
b' (c')
2' (3')
1'
2'
3'
a'
b'
c'
X YVP
HP
50
20
30°
Final Front View
Final Top View
(OR)
3. (b). A square pyramid of base 40mm and axis 70mm long has one of its triangular faces on VP and the edge of base containing by that face perpendicular to HP . Draw its projections.
o
(p)q r(s)
p'q'
r's'
s1'p1'
q1'r1'
o1'
r1(s1)
q1(p1)
o1
3050
X Y
4. (a). A hexagonal prism of side of base 35mm and axis length 55mm rests with its base on
HP such that two of the vertical surfaces are perpendicular to VP. It is cut by a plane inclined at 500 to HP and perpendicular to VP and passing through a point on the axis at a distance 15mm from the top. Draw its front view, sectional top view and true shape of section.
90°
1
2
3
4
5
6
55
35
a(p)
b(q)
c(r)
d(s)
e(t)
f(u)
q'(p') r'(u') s'(t')
b'(a') c'(f') d'(e')
XX
YY
1(2)
3(6)
5(4)
55
55°
1 2
3
4
56
(OR)
4. (b). Draw the development of the lateral surface of the lower portion of a cylinder of
diameter 50mm and axis 70mm. The solid is cut by a section plane inclined at 400 to HP and perpendicular to VP and passing through the mid-point of the axis.
a (1)
b (2)
c (3)
d (4)
e (5)
f (6)
g (7)
h (8)
1'
a'b' (h') c' (g') d' (f') e'
2' (8') 3' (7') 4' (6') 5'
p'q'
r'
s'
t'
(v')
(u')
(w')
1 2 3 4 5 6 7 8 1
a b c d e f g h a
p
q
r
st
u
v
w
p
157
40°O50
70
5. (a). Draw the isometric projection of the object from the views shown in fig.
72
10,1
2426
101630
10
10
(OR)
5. (b). Draw the perspective projection of a cube of 25mm edge, lying on a face on the ground plane, with an edge touching the picture plane and all vertical faces equally inclined to the picture plane. The station point is 50mm in front of the picture plane, 35mm above the ground plane and lies in a central plane which is 10mm to the left of the centre of the cube.
a(1)
b(2)
c(3)
d(4)
2'(4') 3'
a' b'(d')c'
a dc
b
A
1
D
4
B
2
3
C
1'
e'
e
50
35
25
25
10
PP
GP
B.E./ B.Tech. DEGREE EXAMINATIONS, JANUARY 2009 (AN)
First Semester
GE 2111 – ENGINEERING GRAPHICS (Common to all branches)
(Regulations 2008) Time: Three hours Maximum: 100 marks
Answer ALL questions (5 X 20 = 100 marks)
1. (a). Draw the locus of a curve traced by a point, when the distance of the foucs from the directrix is equal to 35mm and eccentricity is 4/3. Also draw the tangent and normal ot the curve at any point on the curve.
CV
90°
FA
N
N
P
Q
1
2
3
4
5
S
X
Y
1 2 3 4 5
1'
2'
3'
4'
5'
P'
P'
P'
P'
P'
1
2
3
4
5
D
P
P
P
P
P
45°
90°
35
(OR)
1. (b). Draw the plan, elevation and right side view of the following object.
653515
O 15
45
O25
15
15 35
15
RIGHT SIDE VIEWFRONT VIEW
TOP VIEW
2. (a1) Draw the projection of the following points along a common reference line.
i) Point A 20mm below HP and 25mm behindd VP. ii) Point B 25mm away from the reference planes and is in IV quadrant. iii) Point C 20mm above HP and the same distance behind VP.
2520 25
20
X Y
a
a' b,b'
c,c'
2. (a2). The plan of a line AB is 80mm long and makes 350 with XY. Its elevation makes 450 with XY and the line intersects XY at A. Find its true length and inclinations to HP and VP.
26°
35°
39°
45°
80
a'
b'
a
b b1
b'1
X Y
Locus of b'
Locus of b
(OR)
2. (b). Draw the projections of a circular lamina of diameter 60mm resting on the ground
on a point on the circumference. Its plane inclined at 450 to HP and plan of the diameter making 300 with VP.
a
b
c
d
e
f
g
h
a' b'(h') c'(g') d'(f') e'
45°
30°
a1
b1
c1
d1
e1
f1
g1
h1
a1'
b1'(h1')
c1'(g1')
d1'(f1')
e1'
O60
3. (a). A cone of 30mm diameter and 70mm height rests on the ground on one of its base circle point such that the apex is 20mm and the nearest base circle point is 50mm in front of VP and the base is perpendicular to HP. Draw the projections.
O30
70a'
b'
c'
d'
e'
f'g'
h'
o'
o
a b(h) c(g) d(f)e
50
20
a1'
b1'
c1'
g1'
e1'o1'
o1
a,
b,(h,)c,(g,)
d,(f,)
e,
(OR)
3. (b). Draw the projections of a square prism of size 30mm X 60mm with a solid diagonal vertical.
30
60
SOLID DIAGONAL
a(1)
b(2)
c(3)
d(4)
1 2(4) 3
a' b'(d') c'
45° 31'
21'(41')
11'
a1'
b1'(d1')
c1'
1
2
3
4
a
b
c
d
4. (a). A pentagonal prism of base edge 35mm and axis 65mm lies on HP with its base edge parallel to VP. It is cut by a plane perpendicular to HP and inclined at 300 to VP passes through a point 8mm away from the axis. Draw the sectional elevation and true shape of the section.
a(p)
b(q)
c(r)
d(s)e(t)
p' t' q' s' r'
a'e' d' c'1' 2'
3' 4'
1
2
3
4XX
YY
3565
34°X
Y
(OR)
4. (b). A lamp shape is formed by cutting a cone of 70mm diameter and 90mm height by a
horizontal cutting plane at a distance of 36mm from the apex and another cutting plane inclined at 30o to HP, passing through the lower left corner of the base. Draw the development of the shade.
O
70
a
b
c
d
e
f
g
h
36
90
o'
a' b'(h') c'(g') d'(f') e'
p' q'
1' 2'(8')
3'(7')
4'(6')
5'
O
P
Q
A
BC D
E
F
G
H
A
1
2
3
4
5
6
7
8
1
DEVELOPMENT OF SURFACES
5. (a). A square prism of base side 30mm and 50mm height rests on its base on HP with its
vertical faces equally inclined to VP. It is cut by a cutting plane perpendicular to VP, inclined at 300 to HP and bisecting the axis. Draw the isometric view of the truncated prism.
a(p)
b(q)
c(r)
d(s)
p' q'(s') r'
a' b'(d') c'
25
1'
2'
3'
30°
A
B
C
D1
2
3
4
P
Q
R
S
30
50
(OR)
5. (b). A pentagonal pyramid of 25mm base side and axis height 40mm is standing on its base on the ground with base side parallel to and 30mm behind PP. The central plane is 30mm to the left of the apex and the station point is 45mm in front of PP and 20mm above the ground plane. Draw the perspective view of the pyramid.
t1
t' p' s' q' r'
40
2025
30
45
QPT
e' S
O
R
p q
r
s
t
o'
PP
HL
GP
CP
e