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20MEGO1 – Engineering Graphics
Prepared by:
M. Sundra Pandian, M.E., M.B.A.
Assistant Professor, Department of Mechanical Engineering,
Sri Ramakrishna Institute of Technology, Coimbatore - 10
Course Objective
The objectives of this course are to impart
knowledge to interpret engineering drawings
and to enable the students to communicate the
concepts, ideas, and basic designs through
graphical representations as per related
engineering conventions and standards.
Course Outcome
CO1: Ability to interpret and construct geometric
entities, orthographic projection of
engineering components
CO2: Ability to construct orthographic views of
points and straight lines
CO3: Ability to apply orthographic principles to
construct views of planes and solids
CO4: Ability to build orthographic projection of
section of solids and develop the lateral
surfaces of solids
CO5: Ability to develop isometric and
perspective projections of solids
Syllabus
Curve Constructions and Orthographic Projection (Module 1)
Lettering – Types of lines – Dimensioning – Conics-
Construction of ellipse, parabola and hyperbola by eccentricity
method-Construction of cycloid- Construction of involutes of
square and circle- Drawing of tangents and normal to these
curves. Principles of Orthographic projection – Layout of views
Orthographic projection of simple Engineering components
using first angle Projection. Drawing of multiple views from
pictorial views of objects.
Syllabus
Projection of Points, Lines and Plane Surfaces (Module 2)
Projection of points – Projection of straight lines (only
First angle projections) inclined to both the principal planes –
Determination of true lengths and true inclinations by rotating
line method and trapezoidal method and traces – Projection of
planes (polygonal and circular surfaces) inclined to both the
principal planes by rotating object method.
Syllabus
Projection of Solids (Module 3)
Projection of simple solids like prisms, pyramids, cylinder,
cone and truncated solids when the axis is inclined to one of the
principal planes by rotating object method and auxiliary plane
method.
Syllabus
Projection of Sectioned Solids and Development of Surfaces
(Module 4)
Sectioning of above solids in simple vertical position
when the cutting plane is inclined to the one of the principal
planes and perpendicular to the other – obtaining true shape of
section. Development of lateral surfaces of simple and sectioned
solids – Prisms, pyramids, cylinder and cone. Development of
lateral surfaces of solids with cut-outs and holes.
Syllabus
Isometric and Perspective Projections (Module 5)
Principles of isometric projection – isometric scale –
isometric projections of simple solids and truncated solids –
Prisms, pyramids, cylinders, cones – Perspective projection of
simple solids prisms, pyramids and cylinder by visual ray
method and vanishing point method.
References
1. Bhatt N.D. and Panchal V.M., “Engineering Drawing”,
Charotar Publishing House, 53rd Edition, 2014.
2. Gopalakrishna K.R., “Engineering Drawing” (Vol. I&II
combined), Subhas Publications, Bangalore, 2017.
3. Jolhe, D. A., Engineering drawing, Tata McGraw Hill, 2017.
4. Shah, M. B. and Rana, B. C., Engineering Drawing, Pearson
Education, 2009
5. K.V. Natarajan, A text book of Engineering Graphics,
Dhanalakshmi Publishers, Chennai, 2016.
References
6. Venugopal K. and Prabhu Raja V., “Engineering Graphics”,
New Age International (P)Limited, 2018.
7. Luzzader, Warren.J. and Duff,John M., “Fundamentals of
Engineering Drawing with an introduction to Interactive
Computer Graphics for Design and Production, Eastern
Economy Edition, Prentice Hall of India Pvt. Ltd, New Delhi,
2015.
8. Sekkilar.S.M., “Engineering Graphics” Alpha Science
International Ltd, 2018.
Introduction
Why Engineering Graphics?
We, Engineers communicate differently with
fellow engineers, than we communicate with
non technical people.
We talk with drawings, codes, symbols, etc. and
for easy and confusion free communication we
need to standardize our non verbal
communication.
Engineering Graphics
The graphical representation of objects used to
communicate the design to the manufacturer.
The designs are earlier manually drawn, then a
trial product is made and tested. This cycle is
continued until the final design is arrived.
Nowadays, modern software aids not only in
designing by also in analyzing the design for
optimum working.
Engineering Graphics
Manual
Drawing
Computerized
Drawing
Allocation of Internal Marks
Content Weightage Nos. Marks
Test 10 2 20
Experiments 2 10 20
Quiz - - -
Assignment - - -
Presentation - - -
PBL - - -
Mini Project - - -
Total 40
Standard Code
BIS Code
Drawing Tools
A3 size
Drawing Sheet Dimensions
Drawing Sheet Dimensions
Drawing Sheet Dimensions
Drawing Sheet Dimensions
Lettering
Uppercase Vertical
Lettering
Lowercase Vertical
Lettering
Numbers Vertical
Lettering
Uppercase Slanted
Lettering
Lowercase Slanted
Numbers Slanted
Lettering
Standard writing format for universal understanding
3mm
3mm
7mm
10
mm
10 mm 3 mm
Cap Line
Waist Line
Base Line
Drop Line
Lettering
Line Types
Line Types – Sample Drawing
Thick Lines
– Visible
Edges
Thin Lines –
Construction
Lines
Dashed Lines –
Hidden Edges
Thin Chain –
Axis Line
Dimensioning
The dimensioning is an important part of
drawing as it indicates the size and other details
of the components drawn.
The following 3 lines are the components
of dimensioning.
1. Dimension Line
2. Extension Line
3. Leader Line
Dimension Line
Extension Line
Leader Line
Leader Line: A straight inclined thin solid line
that is usually end by an arrowhead, dot or
without any features.
Arrow Heads
• Arrow heads are the terminators for
dimension lines.
• The standard ratio is 3:1
3 mm
1 mm
Arrow Heads
• Arrow heads are drawn between extension
lines normally. If space is smaller, it might be
drawn outside as shown.
Exercise: Identify the dimensioning mistakes.
Narrow spacing between
two dimension lines
Dimensioning within the
drawing
Missing
dimensioning
diameter ø
No gap at the Exension
Line
Misalignment and text
crossed by line
Corrected Dimensioning
Dimensioning Types
Aligned Dimensioning Unidirectional Dimensioning
Dimensioning Nomenclature
Title Block
NAME :
REG. NO. :
YEAR / SEM / SEC. :
DEPT. :
TITLE:
SCALE:
DATE:
MARKS: CHECKED BY:
150
3
10
Folding of A3 Drawing Sheet
1 2
Folding of A3 Drawing Sheet
4
3
Folding of A3 Drawing Sheet
5 6
Folding of A3 Drawing Sheet
7
Geometrical Construction
Point Line
Curve
Compound Line
Lines and Curves
P1
(x1,y1,z1)
P2
(x2,y2,z2)
Straight
Line
Regular
Curve
Irregular
Curves
Geometrical Construction
Geometrical Shapes
Geometrical Shapes
Square
90° 90°
A B
C D
Equilateral Triangle
A B
C
60° 60°
Geometrical Shapes
Pentagon
A B
72°
72°
Method 1 Method 2
A B
72°
E
E
D
C
90°
O
C
D
D
C
Geometrical Shapes
Hexagon
A B
O
C
D
E
F
A B
60°
60°
E
F
Method 1 Method 2
Hexagon
Note:
1. If the distance between the opposite corners / vertices is given, the hexagon is
inscribed in a circle of diameter equal to the given distance.
2. If the distance between the opposite sides is given, the hexagon is
circumscribed in a circle of diameter equal to the given distance.
Case 1:
Distance across
Corners is given
Dia. = Distance = d
Case 2:
Distance across
Sides is given
Dia. = Distance = d
Bisections and Dividing of Lines
Dividing of a Line into „n‟ Equal Parts
A line segment of known length can be easily divided
into desired smaller line segments if the total length is easily
divisible by the no. of parts to be divided.
For e.g. Dividing a 60 mm line into 6 segments or
parts and 75 mm line into 5 equal parts.
Let say, if the 60 mm line is to be divided into 8 equal
parts or 100 mm line to be divided into 13 parts.
It will then be difficult (although its not impossible) to
divide by using a ruler or a divider.
So the following method is adopted.
Let us divide the following line (of any length) into „n‟
equal parts.
If n = 7, then draw a line from „A‟ at any convenient
acute (< 90°) angle of length with length = n * 10 = 7*10 =
70 mm.
Dividing of a Line in „n‟ Equal Parts
A B
1 6 7
4 5
2 3
C
Scale
Scales are used when the actual drawing is too large or
too small to be drawn as per the given dimensions.
So the drawing has to be either “zoomed down” or
“zoomed up” according so that it fits the drawing sheet.
Suitable zooming ratio is chosen as twice, thrice bigger of
half, quarter or any other size smaller.
This technique of drawing a bigger object into a smalle
version and vice-versa is known as Scaling and the ratio of
zooming in or out is called Scale.
Scale = Size of Drawing / Actual Size
Scale – Scaled Down
Scale – Scaled Up
Scale
Scale = Size of Drawing / Actual Size
Conics
The sections obtained by intersection of a right circular
cone by a plane at different positions relative to the axis is
called Conics.
Cut Sections
Construction of Conics by Eccentricity Method
Eccentricity, e = distance of the point from the focus
distance of the point from the directrix
Focus Focus
Point
Directrix
Ellipse, e < 1 Parabola, e = 1 Hyperbola, e > 1
Construction of Conics - Ellipse
Construct an ellipse which has its focus 50 mm from the directrix and having
eccentricity as 2/3. Draw a tangent and a normal at any point on the curve.
F
Directrix
50
All dimensions are in mm
Given e = 2/3
Add numerator and
denominator, 2+3 =5
Divide CF into 5 equal parts.
C
From F jump backwards as
many times as numerator, i.e.,
From F jump backwards 2
times along FC & mark this
point as Vertex, V
V Axis
D‟
D
C‟
F
Directrix
50
All dimensions are in mm
C V
• Draw a  line at V
• With V as center and
VF as radius, cut two
arcs G and H.
G
H
• Join CG and extend.
Similarly join CH and
extend
Axis
• Divide the axis into
equal parts from F
and name it as 1, 2, 3
and so on.
1 2 3 4 5 6 7 8 9 10
• Draw vertical lines
through points
1,2,3,… and they cut
CG extended line at
1‟, 2‟,3‟ , … and they
cut the line CH at 1‟‟,
2‟‟, 3‟‟, ….
F
Directrix
50
All dimensions are in mm
C V
• With 1-1‟ as
radius and F as
center, cut arcs
in the 1‟-1” line.
G
H
Axis
1 2 3 4 5 6 7 8 9 10
1‟
2‟
3‟
4‟
5‟
6‟
7‟
8‟
9‟
10‟
1‟‟
2‟‟
3‟‟
4‟‟
5‟‟
6‟‟
7‟‟
8‟‟
9‟‟
10‟‟
• The arcs cut line
1-1‟ at P1‟ and 1-
1‟‟ at P1‟‟.
P1‟
P1‟‟
• Repeat this
process and get
points P2‟ &
P2‟‟, P3‟ & P3‟‟,
...
• Join all these
points with a
smooth curve.
To draw Tangent & Normal to Ellipse
F
Directrix
All dimensions are in mm
C V Axis
• Choose a random
point, P on the
ellipse.
P
• Join points F & P
.
• Draw a  to FP
@ F and it will
intersect the
directrix at Q.
Q
• Join QP and
extend. This is the
tangent to the
ellipse at point P.
Tangent
• Draw a  to this
tangent passing
through point P.
This is the Normal
to the ellipse at
point P.
Normal
N
T
To draw Tangent & Normal to Ellipse
F
Directrix
All dimensions are in mm
C V Axis
• Choose a random
point, P on the
ellipse.
P
• Join points F & P
.
• Draw a  to FP
and it with
intersect the
directrix at Q.
Q
• Join QP and
extend. This is the
Tangent to the
ellipse at point P.
Tangent
• Draw a  to this
tangent passing
through point P.
This is the Normal
to the ellipse at
point P.
Normal
To draw Tangent & Normal to Ellipse
F
Directrix
All dimensions are in mm
C V Axis
• Choose a random
point, P on the
ellipse.
P
• Join points F & P
.
• Draw a  to FP
and it with
intersect the
directrix at Q.
Q
• Join QP and
extend. This is the
Tangent to the
ellipse at point P.
Tangent
• Draw a  to this
tangent passing
through point P.
This is the Normal
to the ellipse at
point P.
Normal
Construction of Conics - Parabola
Construct a conics curve where the focus is 60 mm away
from the directrix and the eccentricity is 1. Also draw a tangent
and normal at any point on the curve.
Construction of Conics –
Parabola
F
Directrix
60
All dimensions are in mm
C V
• Eccentricity e = 1.
G
H
Axis
1 2 3 4 5 6 7 8 9
1‟
2‟
3‟
4‟
5‟
6‟
7‟
8‟
9‟
1‟‟
2‟‟
3‟‟
4‟‟
5‟‟
6‟‟
7‟‟
8‟‟
9‟‟
• So CF should be
divided into two
parts or bisected
because fore to be
„1‟ the Numerator
and Denominator
are same.
P1‟
P1‟‟
• Repeat the same
steps used for
ellipse to finish
the parabolic
curve.
• Repeat the same
steps used to
draw the
tangent and
normal to the
parabolic curve.
Construction of Conics - Parabola
Construct a conics curve where the focus is 70 mm away
from the directrix and the eccentricity is 4/3. Also draw a
tangent and normal at any point on the curve.
Construction of Conics –
Hyperbola
F
Directrix
70
All dimensions are in mm
C V
• Eccentricity e =
4/3.
G
H
Axis
1 2 3 4 5 6 7 8 9
1‟
2‟
3‟
4‟
5‟
6‟
7‟
8‟
9‟
1‟‟
2‟‟
3‟‟
4‟‟
5‟‟
6‟‟
7‟‟
8‟‟
9‟‟
• So CF should be
divided into 7
equal parts.
P1‟
• Repeat the same
steps used for
ellipse and
parabola
• Repeat the same
steps used for
ellipse and
parabola to
draw the
tangent and
normal.
Syllabus
Curve Constructions and Orthographic Projection (Module 1)
Lettering – Types of lines – Dimensioning – Conics-
Construction of ellipse, parabola and hyperbola by eccentricity
method-Construction of cycloid- Construction of involutes of
square and circle- Drawing of tangents and normal to these
curves. Principles of Orthographic projection – Layout of views
Orthographic projection of simple Engineering components
using first angle Projection. Drawing of multiple views from
pictorial views of objects.
Assignment 1
Exercise No. 1
Draw the alphabets- uppercase and lowercase and numbers
both in vertical and slanted modes.
Assignment 2
Exercise No. 1
Draw with neat dimensioning the following diagrams.
20
15
50
15
10
a.
b.
25
25
25
25
5
10
c.
60
20
20
20
5
20
d.
30 10
20
20
10
50
R?
?
50
Assignment 3
1. Construct a conics whose focus is 70 mm from the directrix
and the eccentricity is ¾. Also draw a tangent and normal to
any point on the curve.
2. Construct an ellipse whose focus is 60 mm from the directrix
and the eccentricity is 2/3. Also draw a tangent and normal to
any point on the curve.
3. Construct a conics whose focus is 70 mm from the directrix
and the eccentricity is 1 Also draw a tangent and normal to any
point on the curve.
Assignment 3
4. Construct a conics whose focus is 80 mm from the directrix
and the eccentricity is 1. Also draw a tangent and normal to any
point on the curve.
5. Construct a hyperbola whose focus is 60 mm from the
directrix and the eccentricity is 3/2. Also draw a tangent and
normal to any point on the curve.
6. Construct a conics whose focus is 70 mm from the directrix
and the eccentricity is 4/3. Also draw a tangent and normal to
any point on the curve.
Rough Draft
Major
Axis
Minor
Axis

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Eg unit 1 1

  • 1. 20MEGO1 – Engineering Graphics Prepared by: M. Sundra Pandian, M.E., M.B.A. Assistant Professor, Department of Mechanical Engineering, Sri Ramakrishna Institute of Technology, Coimbatore - 10
  • 2. Course Objective The objectives of this course are to impart knowledge to interpret engineering drawings and to enable the students to communicate the concepts, ideas, and basic designs through graphical representations as per related engineering conventions and standards.
  • 3. Course Outcome CO1: Ability to interpret and construct geometric entities, orthographic projection of engineering components CO2: Ability to construct orthographic views of points and straight lines CO3: Ability to apply orthographic principles to construct views of planes and solids CO4: Ability to build orthographic projection of section of solids and develop the lateral surfaces of solids CO5: Ability to develop isometric and perspective projections of solids
  • 4. Syllabus Curve Constructions and Orthographic Projection (Module 1) Lettering – Types of lines – Dimensioning – Conics- Construction of ellipse, parabola and hyperbola by eccentricity method-Construction of cycloid- Construction of involutes of square and circle- Drawing of tangents and normal to these curves. Principles of Orthographic projection – Layout of views Orthographic projection of simple Engineering components using first angle Projection. Drawing of multiple views from pictorial views of objects.
  • 5. Syllabus Projection of Points, Lines and Plane Surfaces (Module 2) Projection of points – Projection of straight lines (only First angle projections) inclined to both the principal planes – Determination of true lengths and true inclinations by rotating line method and trapezoidal method and traces – Projection of planes (polygonal and circular surfaces) inclined to both the principal planes by rotating object method.
  • 6. Syllabus Projection of Solids (Module 3) Projection of simple solids like prisms, pyramids, cylinder, cone and truncated solids when the axis is inclined to one of the principal planes by rotating object method and auxiliary plane method.
  • 7. Syllabus Projection of Sectioned Solids and Development of Surfaces (Module 4) Sectioning of above solids in simple vertical position when the cutting plane is inclined to the one of the principal planes and perpendicular to the other – obtaining true shape of section. Development of lateral surfaces of simple and sectioned solids – Prisms, pyramids, cylinder and cone. Development of lateral surfaces of solids with cut-outs and holes.
  • 8. Syllabus Isometric and Perspective Projections (Module 5) Principles of isometric projection – isometric scale – isometric projections of simple solids and truncated solids – Prisms, pyramids, cylinders, cones – Perspective projection of simple solids prisms, pyramids and cylinder by visual ray method and vanishing point method.
  • 9. References 1. Bhatt N.D. and Panchal V.M., “Engineering Drawing”, Charotar Publishing House, 53rd Edition, 2014. 2. Gopalakrishna K.R., “Engineering Drawing” (Vol. I&II combined), Subhas Publications, Bangalore, 2017. 3. Jolhe, D. A., Engineering drawing, Tata McGraw Hill, 2017. 4. Shah, M. B. and Rana, B. C., Engineering Drawing, Pearson Education, 2009 5. K.V. Natarajan, A text book of Engineering Graphics, Dhanalakshmi Publishers, Chennai, 2016.
  • 10. References 6. Venugopal K. and Prabhu Raja V., “Engineering Graphics”, New Age International (P)Limited, 2018. 7. Luzzader, Warren.J. and Duff,John M., “Fundamentals of Engineering Drawing with an introduction to Interactive Computer Graphics for Design and Production, Eastern Economy Edition, Prentice Hall of India Pvt. Ltd, New Delhi, 2015. 8. Sekkilar.S.M., “Engineering Graphics” Alpha Science International Ltd, 2018.
  • 11. Introduction Why Engineering Graphics? We, Engineers communicate differently with fellow engineers, than we communicate with non technical people. We talk with drawings, codes, symbols, etc. and for easy and confusion free communication we need to standardize our non verbal communication.
  • 12. Engineering Graphics The graphical representation of objects used to communicate the design to the manufacturer. The designs are earlier manually drawn, then a trial product is made and tested. This cycle is continued until the final design is arrived. Nowadays, modern software aids not only in designing by also in analyzing the design for optimum working.
  • 14. Allocation of Internal Marks Content Weightage Nos. Marks Test 10 2 20 Experiments 2 10 20 Quiz - - - Assignment - - - Presentation - - - PBL - - - Mini Project - - - Total 40
  • 27. Lettering Standard writing format for universal understanding 3mm 3mm 7mm 10 mm 10 mm 3 mm Cap Line Waist Line Base Line Drop Line
  • 30. Line Types – Sample Drawing Thick Lines – Visible Edges Thin Lines – Construction Lines Dashed Lines – Hidden Edges Thin Chain – Axis Line
  • 31. Dimensioning The dimensioning is an important part of drawing as it indicates the size and other details of the components drawn. The following 3 lines are the components of dimensioning. 1. Dimension Line 2. Extension Line 3. Leader Line
  • 34. Leader Line Leader Line: A straight inclined thin solid line that is usually end by an arrowhead, dot or without any features.
  • 35. Arrow Heads • Arrow heads are the terminators for dimension lines. • The standard ratio is 3:1 3 mm 1 mm
  • 36. Arrow Heads • Arrow heads are drawn between extension lines normally. If space is smaller, it might be drawn outside as shown.
  • 37. Exercise: Identify the dimensioning mistakes. Narrow spacing between two dimension lines Dimensioning within the drawing Missing dimensioning diameter ø No gap at the Exension Line Misalignment and text crossed by line
  • 39. Dimensioning Types Aligned Dimensioning Unidirectional Dimensioning
  • 41. Title Block NAME : REG. NO. : YEAR / SEM / SEC. : DEPT. : TITLE: SCALE: DATE: MARKS: CHECKED BY: 150 3 10
  • 42. Folding of A3 Drawing Sheet 1 2
  • 43. Folding of A3 Drawing Sheet 4 3
  • 44. Folding of A3 Drawing Sheet 5 6
  • 45. Folding of A3 Drawing Sheet 7
  • 50. Geometrical Shapes Square 90° 90° A B C D Equilateral Triangle A B C 60° 60°
  • 51. Geometrical Shapes Pentagon A B 72° 72° Method 1 Method 2 A B 72° E E D C 90° O C D
  • 52. D C Geometrical Shapes Hexagon A B O C D E F A B 60° 60° E F Method 1 Method 2
  • 53. Hexagon Note: 1. If the distance between the opposite corners / vertices is given, the hexagon is inscribed in a circle of diameter equal to the given distance. 2. If the distance between the opposite sides is given, the hexagon is circumscribed in a circle of diameter equal to the given distance. Case 1: Distance across Corners is given Dia. = Distance = d Case 2: Distance across Sides is given Dia. = Distance = d
  • 55. Dividing of a Line into „n‟ Equal Parts A line segment of known length can be easily divided into desired smaller line segments if the total length is easily divisible by the no. of parts to be divided. For e.g. Dividing a 60 mm line into 6 segments or parts and 75 mm line into 5 equal parts. Let say, if the 60 mm line is to be divided into 8 equal parts or 100 mm line to be divided into 13 parts. It will then be difficult (although its not impossible) to divide by using a ruler or a divider. So the following method is adopted.
  • 56. Let us divide the following line (of any length) into „n‟ equal parts. If n = 7, then draw a line from „A‟ at any convenient acute (< 90°) angle of length with length = n * 10 = 7*10 = 70 mm. Dividing of a Line in „n‟ Equal Parts A B 1 6 7 4 5 2 3 C
  • 57. Scale Scales are used when the actual drawing is too large or too small to be drawn as per the given dimensions. So the drawing has to be either “zoomed down” or “zoomed up” according so that it fits the drawing sheet. Suitable zooming ratio is chosen as twice, thrice bigger of half, quarter or any other size smaller. This technique of drawing a bigger object into a smalle version and vice-versa is known as Scaling and the ratio of zooming in or out is called Scale. Scale = Size of Drawing / Actual Size
  • 60. Scale Scale = Size of Drawing / Actual Size
  • 61. Conics The sections obtained by intersection of a right circular cone by a plane at different positions relative to the axis is called Conics.
  • 63. Construction of Conics by Eccentricity Method Eccentricity, e = distance of the point from the focus distance of the point from the directrix Focus Focus Point Directrix Ellipse, e < 1 Parabola, e = 1 Hyperbola, e > 1
  • 64. Construction of Conics - Ellipse Construct an ellipse which has its focus 50 mm from the directrix and having eccentricity as 2/3. Draw a tangent and a normal at any point on the curve. F Directrix 50 All dimensions are in mm Given e = 2/3 Add numerator and denominator, 2+3 =5 Divide CF into 5 equal parts. C From F jump backwards as many times as numerator, i.e., From F jump backwards 2 times along FC & mark this point as Vertex, V V Axis D‟ D C‟
  • 65. F Directrix 50 All dimensions are in mm C V • Draw a  line at V • With V as center and VF as radius, cut two arcs G and H. G H • Join CG and extend. Similarly join CH and extend Axis • Divide the axis into equal parts from F and name it as 1, 2, 3 and so on. 1 2 3 4 5 6 7 8 9 10 • Draw vertical lines through points 1,2,3,… and they cut CG extended line at 1‟, 2‟,3‟ , … and they cut the line CH at 1‟‟, 2‟‟, 3‟‟, ….
  • 66. F Directrix 50 All dimensions are in mm C V • With 1-1‟ as radius and F as center, cut arcs in the 1‟-1” line. G H Axis 1 2 3 4 5 6 7 8 9 10 1‟ 2‟ 3‟ 4‟ 5‟ 6‟ 7‟ 8‟ 9‟ 10‟ 1‟‟ 2‟‟ 3‟‟ 4‟‟ 5‟‟ 6‟‟ 7‟‟ 8‟‟ 9‟‟ 10‟‟ • The arcs cut line 1-1‟ at P1‟ and 1- 1‟‟ at P1‟‟. P1‟ P1‟‟ • Repeat this process and get points P2‟ & P2‟‟, P3‟ & P3‟‟, ... • Join all these points with a smooth curve.
  • 67. To draw Tangent & Normal to Ellipse F Directrix All dimensions are in mm C V Axis • Choose a random point, P on the ellipse. P • Join points F & P . • Draw a  to FP @ F and it will intersect the directrix at Q. Q • Join QP and extend. This is the tangent to the ellipse at point P. Tangent • Draw a  to this tangent passing through point P. This is the Normal to the ellipse at point P. Normal N T
  • 68. To draw Tangent & Normal to Ellipse F Directrix All dimensions are in mm C V Axis • Choose a random point, P on the ellipse. P • Join points F & P . • Draw a  to FP and it with intersect the directrix at Q. Q • Join QP and extend. This is the Tangent to the ellipse at point P. Tangent • Draw a  to this tangent passing through point P. This is the Normal to the ellipse at point P. Normal
  • 69. To draw Tangent & Normal to Ellipse F Directrix All dimensions are in mm C V Axis • Choose a random point, P on the ellipse. P • Join points F & P . • Draw a  to FP and it with intersect the directrix at Q. Q • Join QP and extend. This is the Tangent to the ellipse at point P. Tangent • Draw a  to this tangent passing through point P. This is the Normal to the ellipse at point P. Normal
  • 70. Construction of Conics - Parabola Construct a conics curve where the focus is 60 mm away from the directrix and the eccentricity is 1. Also draw a tangent and normal at any point on the curve.
  • 71. Construction of Conics – Parabola F Directrix 60 All dimensions are in mm C V • Eccentricity e = 1. G H Axis 1 2 3 4 5 6 7 8 9 1‟ 2‟ 3‟ 4‟ 5‟ 6‟ 7‟ 8‟ 9‟ 1‟‟ 2‟‟ 3‟‟ 4‟‟ 5‟‟ 6‟‟ 7‟‟ 8‟‟ 9‟‟ • So CF should be divided into two parts or bisected because fore to be „1‟ the Numerator and Denominator are same. P1‟ P1‟‟ • Repeat the same steps used for ellipse to finish the parabolic curve. • Repeat the same steps used to draw the tangent and normal to the parabolic curve.
  • 72. Construction of Conics - Parabola Construct a conics curve where the focus is 70 mm away from the directrix and the eccentricity is 4/3. Also draw a tangent and normal at any point on the curve.
  • 73. Construction of Conics – Hyperbola F Directrix 70 All dimensions are in mm C V • Eccentricity e = 4/3. G H Axis 1 2 3 4 5 6 7 8 9 1‟ 2‟ 3‟ 4‟ 5‟ 6‟ 7‟ 8‟ 9‟ 1‟‟ 2‟‟ 3‟‟ 4‟‟ 5‟‟ 6‟‟ 7‟‟ 8‟‟ 9‟‟ • So CF should be divided into 7 equal parts. P1‟ • Repeat the same steps used for ellipse and parabola • Repeat the same steps used for ellipse and parabola to draw the tangent and normal.
  • 74. Syllabus Curve Constructions and Orthographic Projection (Module 1) Lettering – Types of lines – Dimensioning – Conics- Construction of ellipse, parabola and hyperbola by eccentricity method-Construction of cycloid- Construction of involutes of square and circle- Drawing of tangents and normal to these curves. Principles of Orthographic projection – Layout of views Orthographic projection of simple Engineering components using first angle Projection. Drawing of multiple views from pictorial views of objects.
  • 75. Assignment 1 Exercise No. 1 Draw the alphabets- uppercase and lowercase and numbers both in vertical and slanted modes.
  • 76. Assignment 2 Exercise No. 1 Draw with neat dimensioning the following diagrams. 20 15 50 15 10 a. b. 25 25 25 25 5 10 c. 60 20 20 20 5 20 d. 30 10 20 20 10 50 R? ? 50
  • 77. Assignment 3 1. Construct a conics whose focus is 70 mm from the directrix and the eccentricity is ¾. Also draw a tangent and normal to any point on the curve. 2. Construct an ellipse whose focus is 60 mm from the directrix and the eccentricity is 2/3. Also draw a tangent and normal to any point on the curve. 3. Construct a conics whose focus is 70 mm from the directrix and the eccentricity is 1 Also draw a tangent and normal to any point on the curve.
  • 78. Assignment 3 4. Construct a conics whose focus is 80 mm from the directrix and the eccentricity is 1. Also draw a tangent and normal to any point on the curve. 5. Construct a hyperbola whose focus is 60 mm from the directrix and the eccentricity is 3/2. Also draw a tangent and normal to any point on the curve. 6. Construct a conics whose focus is 70 mm from the directrix and the eccentricity is 4/3. Also draw a tangent and normal to any point on the curve.