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ENGINEERING A Text Book on Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India CLASS XII Graphics

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Page 1: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

ENGINEERINGA Text Book on

Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India

CLASS

XII

Graphics

Page 2: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

A text book on Engineering Graphics, Class XII.

PRICE : Rs.

FIRST EDITION 2010 CBSE, India

COPIES:

PUBLISHED BY : The Secretary, Central Board of Secondary Education, Shiksha Kendra, 2, Community Centre, Preet Vihar,

Delhi-110092

DESIGN, LAYOUT : Multi Graphics, 5745/81, Reghar Pura, Karol Bagh,

New Delhi-110005, Phone : 25783846

PRINTED BY :

ii

"This book or part thereof may not be reproduced byany person or agency in any manner."

Page 3: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

Foreword Design is an integral aspect of the world around us. Every day, we are inundated

with images of current generation products such as automobiles, air crafts, and so on.

Design is crucial to each of these products.

Engineering Graphics is the language of communication for all engineers,

architects, interior decorators, apparel designers and many others. This is needed right

from conceiving the design of any product, upto the mass production stage and beyond

for modification and restructuring of Engineering Graphics finds its use in all fields

work relating to various products and their design.

As a first attempt, CBSE has prepared the text book for Class XI in Engineering

Graphics which has been published in June, 2010. Through Class XI text book you have

already gained an insight into the fundamentals of the subject Engineering Graphics.

In this book for class XII, you will learn about the representation of objects, such as

simple geometrical solids, simple machine blocks, in three dimension form i.e. Isometric

Projections of solids.

You will also begin to look afresh at the nature and function of several ordinary

household engineering hardware such as nuts, bolts, screws, washers, rivets etc. that are

essential to make a household run.

In addition, you will learn to assemble the various simple machine blocks correctly

in order to form a functional machine of appropriate use for household purposes or for

industry.

I would like to place on record my deep appreciation for all the subject experts and

practicing teachers who have put in their sincere efforts in the development of this

textbook. Appreciation is also due to Shri Shashi Bhushan, Director (Academics) & Dr.

(Smt.) Srijata Das, Education Officer for planning and execution of the work and

bringing out this publication.

It is hoped that students and teachers will benefit by making the best use of these

text books. Suggestions from the users for further improvement of these textbooks will

be highly appreciated.

VINEET JOSHI

CHAIRMAN

Page 4: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

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ge] Hkkjr ds yksx] Hkkjr dks ,d ¹lEiw.kZ izHkqRo&laiUu lektoknh iaFkfujis{k yksdra=kkRed x.kjkT;º cukus ds fy,] rFkk

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djus okyh ca/qrk c<+kus ds fy, n<+ladYi gksdj viuh bl lafo/ku lHkk esa vkt rkjh[k 26 uoEcj] 1949 bZñ dks ,rn~}kjk bl

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1-lafo/ku (c;kyhloka la'kks/u) vf/fu;e] 1976 dh /kjk 2 }kjk (3-1-1977) ls ¶izHkqRo&laiUu yksdra=kkRed x.kjkT; ds LFkku ij izfrLFkkfirA

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Page 5: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

THE CONSTITUTION OF INDIAPREAMBLE

1WE, THE PEOPLE OF INDIA, having solemnly resolved to constitute India into a SOVEREIGN SOCIALIST SECULAR DEMOCRATIC REPUBLIC and to secure to all its citizens :

JUSTICE, social, economic and political;

LIBERTY of thought, expression, belief, faith and worship;

EQUALITY of status and of opportunity; and to promote among them all

2FRATERNITY assuring the dignity of the individual and the [unity and integrity of the Nation];

IN OUR CONSTITUENT ASSEMBLY this twenty-sixth day of November, 1949, do HEREBY TO

OURSELVES THIS CONSTITUTION.

THE CONSTITUTION OF INDIA

Chapter IV A

Fundamental Duties

ARTICLE 51A

Fundamental Duties - It shall be the duty of every citizen of India-

(a) to abide by the Constitution and respect its ideals and institutions, the National Flag and the National Anthem;

(b) to cherish and follow the noble ideals which inspired our national struggle for freedom;

(c) to uphold and protect the sovereignty, unity and integrity of India;

(d) to defend the country and render national service when called upon to do so;

(e) To promote harmony and the spirit of common brotherhood amongst all the people of India transcending religious, linguistic and regional or sectional diversities; to renounce practices derogatory to the dignity of women;

(f) to value and preserve the rich heritage of our composite culture;

(g) to protect and improve the natural environment including forests, lakes, rivers, wild life and to have compassion for living creatures;

(h) to develop the scientific temper, humanism and the spirit of inquiry and reform;

(i) to safeguard public property and to abjure violence;

(j) to strive towards excellence in all spheres of individual and collective activity so that the nation constantly rises to higher levels of endeavour and achievement.

1. Subs, by the Constitution (Forty-Second Amendment) Act. 1976, sec. 2, for "Sovereign Democratic Republic (w.e.f. 3.1.1977)

2. Subs, by the Constitution (Forty-Second Amendment) Act. 1976, sec. 2, for "unity of the Nation (w.e.f. 3.1.1977)

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Page 7: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

CONTENTS

1ISOMETRIC PROJECTIONCHAPTER

1

40

87

108

135

150

165

MACHINE DRAWING

BEARINGS

ROD JOINTS

TIE-ROD AND PIPE JOINTS

SHAFT COUPLINGS

PULLEYS

CHAPTER

CHAPTER

CHAPTER

CHAPTER

CHAPTER

CHAPTER

2

3

4

5

6

7

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Page 9: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

1ENGINEERING GRAPHICS

1.1 INTRODUCTION

The objects we look, around us, are in 3-Dimensional form. When we try to communicate the

structure of objects to others then we take the help of pictures / pictorial drawings. These

pictorial drawings are 'one plane' drawings because our mode of communication is paper which

has only two dimensions and these drawings show the object approximately as it appears to the

viewer.

In engineering, one plane drawings are extensively used in addition to the orthographic views of

an object to give the best understanding. So the practice of drawing the objects in one plane,

pictorial view, from the orthographic views is essential. There are three methods to draw the

pictorial drawings i.e.

1. Perspective Projection 2. Oblique Projection 3. Axonometric Projection

Perspective projection is mostly used by the artists, professional designers and architects to

show the views as it appears to the human eye. It appears to converge at a point, called vanishing

point. The Oblique projection is mostly used by the mathematicians and furniture

manufacturers. They impart third dimension at an angle to the two dimensional images, to show

the depth. The Axonometric projection differs from the other one plane views on the basis of

rotation angle along one or more of its axes relative to the plane of projection. It is extensively

used in mechanical engineering to show the blocks, machine parts, assemblies etc. It shows an

image of an object from a skew direction.

On the basis of inclination angle of the three principal axes to the plane of projection, the

axonometric projection is classified among, isometric projection, diametric projection and

trimetric projection.In isometric projection, all the angles between principal axes are equal

while in diametric projection, only two angles between three principal axes are equal and over

90°and in trimetric projection, all the three angles are unequal and not less than 90°. As the

principal axes are inclined to the plane of projection so the measurement along them are also

foreshortened. But the most advantageous point of isometric projection is that it needs a single

scale to measure along each of the three axes. So in general, we use only isometric projection in

engineering practice.

CHAPTER 1ISOMETRIC PROJECTION

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2 ENGINEERING GRAPHICS

1.2 ISOMETRIC PROJECTION

The isometric projection of an object is a

one plane view drawn with the object so

placed with respect to the plane of

projection that all the three principal

axes appear to be inclined to each other

at an equal angle of 120°.

The isometric scale is used to measure

the foreshortened length of dimensions

of any object to draw the isometric

projection. The steps of construction of

isometric scale are given below ; refer

Fig. 1.2

(i) Draw a horizontal line PQ.

(ii) Draw the true lengths on a

line PM inclined at 45° to

the horizontal line (say up

to 70 mm )

(iii) Draw another line PA at

30° to the horizontal line.

(iv) D r a w t h e v e r t i c a l

projection of all the points

of true length from PM to

PA.

(v) Complete the scale with the details as shown in the figure.

The lengths shown at the line PA are the isometric lengths to be used to draw the isometric

projection.

1.2.1 ISOMETRIC SCALE

ISOMETRIC PROJECTION

Fig 1.2

ISOMETRIC SCALE

ISOMETRIC LENGTH

TRUE L

ENGTH

100

1020

3040

5060

70

10

0

10

20

30

40

50

60

70 m

m

45°

30°

M

QP

A

DIMETRIC

Fig 1.1 Types of Axonometric Projections

ISOMETRIC

120°

120°

120°

a

cb

TRIMETRIC

a

cb

a ≠ b ≠ c a ≠ b = c a = b = c

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3ENGINEERING GRAPHICS

1.2.2 POSITIONING OF SOLID

1.2.3 STEPS TO DRAW THE ISOMETRIC PROJECTION

The solids are mostly drawn by placing them as per their specific position with respect to vertical

plane (V.P.) and horizontal plane (H.P.), as discussed earlier in orthographic projections. If not

specified then they are drawn by placement in such a position which describes the shape of the

object in best manner. Here after drawing the isometric projection we can observe the two planes

i.e. vertical plane and profile plane on two sides of the object, so to specify the direction of

viewing we mark an arrow towards the assumed Front of object as per conditions.

Fig 1.3

1. Draw the base of the solid "with isometric scale" as per specified condition with

respect to V.P. and H.P. as per the rules of orthographic projection. It is called

Helping Figure.

2. Draw the centre of the helping figure and enclose the helping figure in a suitable

rectangle. Transfer the co-ordinates of centre to the sides of the enclosing rectangle

with centre lines.

3. Draw the three principal axes at 30°, 90° and 30° to the horizontal base line.

4. Copy the length of sides of helping figure's rectangle on the respective principal axis

and the height or length of the object on the third principal axis. It will give a box in

which the object will be perfectly/snugly fitted.

5. Copy the co-ordinates of centre and the vertices of the base on this box.

6. Join the visible edges by thick lines and Axis line by the centre line.

7. Complete the isometric projection with dimensioning and direction of viewing.

Now let us draw the isometric projection of regular solids.

ISOMETRIC PROJECTION

HORIZONTAL LINE

B

30º

HORIZONTAL LINE

VE

RT

ICA

L L

INE

O

F

C

30º

A

VP PP

SF

HP

Page 12: A Text Book on ENGINEERING Graphics - cbse.gov.incbse.gov.in/publications/FINAL_ENGINEERING_GRAPHICS... · A text book on Engineering Graphics, Class XII. PRICE : Rs. FIRST EDITION

4 ENGINEERING GRAPHICS

1.3 DRAWING OF ISOMETRIC PROJECTION

The isometric projection of different solids is drawn by keeping the three principal axis at 120° to

each other. The solids are drawn as per the specified condition with respect to V.P. and H.P. In

earlier class we have studied to draw the isometric projection of two dimensional laminae of

regular shapes. Here we will study to draw the isometric projection of single regular solids and

combination of two solids. As per the characteristics of regular solids, we can classify them as

follows:-

(i) Prisms

(ii) Pyramids

(iii) Cylinder and Cone

(iv) Frustum of Pyramids

(v) Sphere and Hemisphere

Prisms are the solids with two bases and rectangular faces. They can be kept horizontal by

resting on face or Vertical by resting on base. Let us consider some examples to

understand it better.

A hexagonal prism of base side 30 mm and height of 70 mm resting on its base on

H.P. with two of its base side parallel to V.P.

Refer Fig. 1.4

Steps (i) Draw the hexagon with isometric length of 30 mm.

(ii) Complete the helping figure by enclosing hexagon in snugly fitted rectangle and

centre lines of hexagon.

(iii) Draw the isometric box with OA length at the side of direction of viewing, OB

length at the opposite side and OC equal to 70mm, is length of height of prism on

vertical line.

(iv) Copy all the points of hexagon and centre on the box.

(v) Join the visible edges by thick lines and axis by centre lines.

(vi) Complete the isometric projection of hexagonal prism with dimensioning and

direction of viewing.

1.3.1 PRISMS

Example 1:

Solution :

ISOMETRIC PROJECTION

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5ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Fig 1.4

B

5 4

b

Oa

A

3

(i)HELPING FIGURE

(ii)

1 2

HORIZONTAL LINE

B

30º

HORIZONTAL LINE

VE

RT

ICA

L L

INE

O

F

C

30º

A

(iii)

OC = ISO 70mm

(iv) (v)

F

70

30

30º 3

BA

O

C

5

4 3

2a

F

1

6b

30º 3

30 70

FF

O

A

B

C

30º 3

O

30º 3

0º1

2

3

4

5

6

a

b

(v)(vi)

30

ISOMETRIC PROJECTION

ISOMETRIC PROJECTION

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6 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 2 :

Solution :

Let us consider more examples of the prisms with the same steps of construction.

Example 3:

Solution :

A hexagonal prism of base side 30 mm and height of 70 mm resting on its face on

H.P. with two of its bases are parallel to V.P. Then the isometric projection will be

drawn as under.

Refer Fig 1.4

Steps (i) and (ii) will be same as above in example 1.

(iii) Draw the box with OA length at the side of direction of viewing, OB length on the

vertical line and OC length equal to isometric length of height of prism on the third

principal axis.

(iv), (v) & (vi) will be same as above in example 1.

Draw the isometric projection of a cube of side 50 mm.

Refer Fig. 1.5

In cube all the sides have equal length. So take isometric 50 mm on each principal

axis and complete the cube with thick lines, dimensioning, center line and

direction of viewing.

Fig 1.5

50

30º 3

F

SQ. 50

ISOMETRIC PROJECTION

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7ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 4 :

Solution : (a)

Draw the isometric projection of square prism of 40 mm base edge and 60 mm axis

resting;

(a) On its base on H.P. keeping one of its base edge parallel to V.P.

(b) On its face on H.P. keeping its base perpendicular to V.P.

Refer Fig. 1.6 (a)

To draw the isometric projection of a vertical square prism with vertical axis and

one base side parallel to V.P. take OA & OB equal to 40 mm on each horizontal line

and OC equal to is 60 mm, on vertical line. Complete the isometric projection with

thick lines, dimensioning, center lines and direction of viewing.

Fig 1.6

(b) Refer fig 1.6(b)

To draw the isometric projection of a square prism with horizontal axis and base

perpendicular to V.P. take OB equal to 40 mm on the horizontal line on the side of

direction of viewing, OA equal to 60 mm on another horizontal line and OC equal to

40 mm on vertical line. Complete the isometric projection with thick lines,

dimensioning, center lines and direction of viewing.

(b)(a)

60

30º 3

40

60

40

30º 3

F

C

B A

O O

C

A

F

B

ISOMETRIC PROJECTION ISOMETRIC PROJECTION

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8 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 5:

Solution :

Example 6:

Solution:

Draw the isometric projection of an equilateral triangular prism of 50 mm base

side and 75 mm axis resting on its base in H.P. with one of its base edge parallel to

V.P. in front.

Refer Fig 1.7

Steps (i) Draw the helping figure of triangle with iso 50 mm length with one of its base edge

parallel to V.P. in front.

(ii) Draw the isometric box with OA and OB from helping figure and OC equal to

isometric 75 mm.

(iii) Copy the points of triangle and co-ordinates of center to isometric box.

(iv) Join the visible edges by thick lines and axis by center lines.

(v) Complete the isometric projection with dimensioning and direction of viewing.

An equilateral triangular prism of 50 mm base side and 70 mm long resting on one

of its face on H.P. with axis of it perpendicular to V.P. Draw its isometric projection.

Refer Fig. 1.8

Fig 1.7

O A50

HELPING FIGURE

B 75

50

F

30º 3

O

AB

C

ISOMETRIC PROJECTION

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9ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Steps (i) Draw the helping figure of triangle with iso 50 mm length with one of its base edge

in H.P.

(ii) Draw the isometric box with OA on the horizontal line towards the direction of

viewing, OB on the vertical line and OC equal to isometric 70 mm on another

horizontal line.

(iii) Copy the points of triangle and co-ordinates of centre to isometric box.

(iv) Join the visible edges by thick lines and axis by centre line.

(v) Complete the isometric projection with dimensioning and direction of viewing.

Draw the isometric projection of a pentagonal prism of 30 mm base side and 65 mm

of axis. The axis of the prism is perpendicular to H.P. and one of its base edge is

perpendicular to the V.P.

Refer Fig. 1.9

(i) Draw the helping figure of pentagon with iso 30 mm of its base edge perpendicular

to V.P.

(ii) Draw the isometric box with OA & OB from helping figure and OC equal to iso 65

mm.

(iii) Copy the points of pentagon and co-ordinates of centre to isometric box.

Example 7:

Solution:

Steps

Fig 1.8

O A50

HELPING FIGURE

B

50

F

70

A

O

BC

30º 3

ISOMETRIC PROJECTION

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10 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

(iv) Join the visible edges by thick lines and axis by center line.

(v) Complete the isometric projection with dimensioning and direction of viewing.

A Pentagonal prism of base side of 25 mm and axis length of 55 mm is resting on its

face with its axis parallel to both H.P and V.P. Draw its isometric projection.

Refer fig 1.10

Example 8:

Solution:

Fig 1.9

O A

30

HELPING FIGURE B

C

A

B

ISOMETRIC PROJECTION

65

F

30

30º 3

O

Fig 1.10

O

B

HELPING FIGURE

30º

30º

A

O

B

A

25 55

C

25

ISOMETRIC PROJECTION

F

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11ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Steps (i) Draw the helping figure of pentagon with iso 25 mm length as one of its base edge

in H.P.

(ii) Draw the isometric box with OA on the horizontal line parallel to the direction of

viewing, OB on the vertical line and OC equal to iso 55 mm on another horizontal

line.

(iii) Complete the isometric projection of pentagonal prism in this isometric box by the

same step discussed in earlier examples.

Pyramids are the solids with a base and slant triangular faces. These faces meet at a point

called apex of the pyramid. In pyramids if they are kept on their base then they are called

upright / vertical pyramids but if they are kept on their vertex on H.P. then they are called

inverted pyramids.

Let us draw some examples.

Draw the isometric projection of a pentagonal pyramid of base side 30 mm and axis of 60

mm resting on its base on H.P. with one of its base side parallel to V.P. and nearer to the

observer.

Refer Fig. 1.11

Steps (i) Draw the pentagon with iso 30 mm and one of its base edge parallel to V.P. and

nearer to the observer.

(ii) Complete the helping view figure by enclosing rectangle and center lines of

pentagon.

(iii) Copy the dimensions of helping figure i.e. OA and OB on the horizontal line as

shown and draw the center lines of Pentagon in it.

(iv) Draw the vertical axis in upright position from the center of pentagon equal to iso

60 mm.

(v) Join the visible edges, starting from the vertex to base corners by thick lines.

(vi) Complete the isometric projection of pentagonal pyramid with direction of

viewing and dimensioning.

Draw the isometric projection of an inverted pentagonal pyramid of base side 30

mm and axis of 60 mm resting on its base on H.P. with one of its base side parallel to

V.P. and nearer to the observer.

1.3.2 PYRAMIDS

Example 9:

Solution :

Example 10:

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12 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

HORIZONTAL LINEHORIZONTAL LIN

E

VE

RT

ICA

L L

INE

(iii)

30º 3

O

B

30º 3

75

35

F

O

AB

30º 3

75

F

35 O A

B

A

F

A

30º 3

35

O

B

75

F

A

30º 3

O

B

75

Fig. 1.11

(ii)(i)

(iv)(v)

(vi)(vii)

ISOMETRIC PROJECTION

ISOMETRIC PROJECTION

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13ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Solution :

Example 11:

Solution :

Example12:

Solution:

Refer Fig. 1.11

Steps (i) to (iii) will be same as above.

(iv) Draw the vertical axis in downward direction from the center of pentagon equal to

iso 60 mm.

(v) & (vi) will be same.

Draw the isometric projection of a square pyramid of base edge 50 mm and axial

height of 80 mm kept in inverted position with two of its base side parallel to V.P.

Refer Fig 1.12

A right triangular pyramid of base edge 50 mm and axial height of 80 mm is kept on

its base keeping one of its base side parallel to V.P. and away from it. Draw its

isometric projection.

Refer Fig. 1.13

Fig 1.12

80

50

F

30°3

ISOMETRIC PROJECTION

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14 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Fig 1.13

Draw the isometric projection of an inverted triangular pyramid of base side 50

mm and axis of 80 mm keeping one of its base side parallel to V.P. and nearer the

observer.

Refer Fig. 1.14

Example:13:

Solution :

HELPING FIGURE

A

b

O

B

50 B

O

A

ab30° 3

F

50

80

Fig 1.14

80

F

50

aC

A

b

O

Ba

HELPING FIGURE

50

A

O

B

C

a

b

ISOMETRIC PROJECTION

30° 3

ISOMETRIC PROJECTION

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15ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 14:

Solution:

Example 15 :

Solution:

Draw the isometric projection of a hexagonal pyramid having base edge of 40 mm

and axis 70 mm resting on its base keeping two of its base side parallel to the V.P.

Refer Fig. 1.15

Fig 1.15

Draw the isometric projection of an inverted hexagonal pyramid of base edge 30

mm and height of 60 mm keeping two of its base side parallel to the V.P.

Refer Fig. 1.16

40

HELPING FIGURE

70

40

F

30°3

HELPING FIGURE

60

30

F

Fig 1.16

30°3

30

ISOMETRIC PROJECTION

ISOMETRIC PROJECTION

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16 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

1.3.3 FRUSTUM OF PYRAMID

Example 16 :

Solution :

Example 17 :

Solution:

We are well aware about the frustum of pyramids that they are the truncated lower

portion of the pyramid. So frustum of pyramid is having one shorter base edge end and

another longer base edge end. To draw the isometric projection of the frustum of

pyramid, we have to draw the helping views for both the ends.

Let us draw some examples.

Draw the isometric projection of a frustum of square pyramid of shorter base

edge 30 mm and longer base edge 50 mm with the axial height of 60 mm, kept on

H.P. on its longer end and two of its base edges are parallel to V.P.

Refer Fig 1.17

Steps (i) Draw the helping figures of both the base ends with iso 30 mm and iso 50 mm.

(ii) Complete the helping figures by enclosing rectangle and centre lines.

(iii) Draw the isometric box with OA length on the side of direction of viewing, OB

length on the another horizontal line and OC equal to iso 60 mm, height of

frustum of pyramid on vertical line.

(iv) Draw the center lines on the upper end of the isometric box and mark centre as M.

(v) Copy the lengths of helping figures of shorter end 'oa' and 'ob' by placing 'm' on 'M'.

(vi) Mark all the points of shorter end helping figure on the upper end of isometric box

and all the points of longer end helping figure on the lower end of isometric box.

(vii) Join the visible edges by thick lines and axis by center line.

(viii) Complete the isometric projection of frustum of square pyramid with

dimensioning and direction of viewing.

Draw the isometric projection of a frustum of square pyramid of shorter base

edge 30 mm and longer base edge 50 mm with the axial height of 60 mm, kept on

H.P. on its shorter end and two of its base edges are parallel to V.P.

Refer Fig 1.17

Steps (i) to (iii) will be same as above.

(iv) Draw the center lines of the lower end of the isometric box as the shorter end of

the given frustum of pyramid is at lower end and mark center as M.

(v) to (viii) will be same as above.

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17ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Fig 1.17

HORIZONTAL LINEHORIZONTAL LIN

E

VE

RT

ICA

L L

INE

30º 3

a

30

b

o

50

A

B

O

30

50

60

F30º

F30º

AB

m (M)

O

30º3

0º30

60

50

F

30º3

F

Mm

HELPING FIGURE

HELPING FIGURE

ab

o

C

m (M) ab

o

AB

O

C

(i)(ii)

(iii)

(iv)(v)

(vi) (vii)

30º

30º

ISOMETRIC PROJECTION

ISOMETRIC PROJECTION

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18 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 18 :

Solution:

Example 19 :

Solution:

Draw the isometric projection of the frustum of triangular pyramid having top

base edge 40 mm and bottom base edge 50 mm with a height of 75 mm resting on

its longer base keeping one of its base side parallel to the V.P. and nearer to the

observer.

Refer Fig 1.18

Fig 1.18

A frustum of an inverted hexagonal pyramid of shorter base side 20 mm and

longer base side 40 mm and axial height of 65 mm resting on its shorter end on

H.P. with two of its base sides perpendicular to the V.P. Draw its isometric

projection.

Refer Fig 1.19

HELPING FIGURE HELPING FIGURE

75

40

50

F

30º3

5040

Fig 1.19

65

F

20

20

40

30º3

40HELPING FIGURE

HELPING FIGURE

ISOMETRIC PROJECTION

ISOMETRIC PROJECTION

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19ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 20 :

Solution :

1.3.4 CYLINDER AND CONE

Example 21:

Solution:

Draw the isometric projection of frustum of pentagonal pyramid having longer

base side 40 mm and shorter base side 30 mm with axis of 70 mm resting on its

longer side base keeping one of its base side parallel to the V.P. and nearer to the

observer.

Refer Fig. 1.20

Fig 1.20

Cylinder and cone are the solids in which base is a circle. In our earlier class we have

studied that the circle is drawn in isometric projection by different methods. We can use

the "four centre method" or "circular arc method" to draw the circle in isometric

projection. The cylinders and cones are drawn with the same steps of prism and pyramids

except one additional step for drawing the circle.

Let us draw some examples.

Draw the isometric projection of a cylinder of diameter 40 mm and axial length of

70 mm lying on the H.P. keeping its axis parallel to H.P. and V.P. both.

Refer Fig 1.21

HELPING FIGURE

30

4070

30

40

F

30º

30º

HELPING FIGUREISOMETRIC PROJECTION

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20 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Steps (i) Draw the isometric box of a square prism of 40 mm base side and 70 mm axis by

keeping the axis parallel to both H.P. and V.P.

(ii) In the two rhombuses draw the ellipse by four center method.

(iii) Draw two common tangents to the two ellipses.

(iv) Draw the visible lines and curves by thick lines.

(v) Complete the isometric projection of cylinder with dimensioning and direction of

viewing.

Fig 1.21

Draw the isometric projection of a cylinder of height of 75 mm and diameter of 50

mm resting on its base keeping the axis parallel to V.P.

Refer Fig 1.22

Example 22 :

Solution:

70

∅ 40

F

30°3

ISOMETRIC PROJECTION

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21ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Fig 1.22

Draw the isometric projection of cone of diameter 40 mm and axis of 60 mm

resting on its base perpendicular to H.P.

Refer Fig 1.23

Example 23 :

Solution :

75

∅ 50

30°3

F

Fig 1.23

60

∅ 40

F

30°3

ISOMETRIC PROJECTION

ISOMETRIC PROJECTION

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22 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example24 :

Solution:

Example 25 :

Solution:

Draw the isometric projection of an inverted cone of diameter 50 mm and axis of

80 mm keeping its axis perpendicular to H.P.

Refer Fig 1.24

Fig 1.24

Draw the isometric projection of a frustum of a cone of diameter 30 mm at

smaller end, diameter 50 mm at bigger end and the axial height is 70 mm. It is

resting on its bigger end on H.P. keeping its axis vertical.

Refer Fig 1.25

Fig 1.25

80

∅ 50

F

30°3

80

∅ 50

∅ 30

30°3

ISOMETRIC PROJECTION

ISOMETRIC PROJECTIONF

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23ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

1.3.5 SPHERES AND HEMISPHERES

Example 26 :

Solution :

Spheres are the solids without any edge or vertex. When they are visualized from any

direction they look like a circle. Due to this unique characteristic of sphere, they have

only one point of contact with the plane of rest. This point of contact will not be visible in

isometric projection of sphere.

Let us draw some examples.

Draw the isometric projection of a sphere of diameter 50 mm.

Refer Fig. 1.26

Steps (i) Draw isometric projection of square in horizontal plane with side of iso 50 mm

length.

(ii) Draw the center lines of this square.

(iii) Take a point O in vertically upward direction equal to iso 25 mm i.e. Isometric

length of radius of spheres from the center of the square drawn in step 2.

(iv) Taking this point O as a center and true 25 mm as the radius, draw a circle.

(v) This drawn circle is the isometric projection of the given sphere.

Note: Isometric view of a sphere is always a circle of true-radius whose centre is

obtained with isometric radius height.

Fig 1.26

o

30o

30

r =

IS

O 2

5

R=TRUE 25O

o

30o

30

FISOMETRIC PROJECTION

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24 ENGINEERING GRAPHICS

ISOMETRIC PROJECTION

Example 27 :

Solution:

Draw the isometric projection of a hemisphere of 60 mm diameter resting on its

curved surface on H.P.

Refer Fig 1.27

Steps (i) Draw the isometric projection of a circle of 60 mm diameter ie. ellipse by four

center method in H.P. (as learnt in class XI).

(ii) Draw an arc with O as center and half of the major axis of ellipse as radius towards

lower half of the ellipse.

(iii) Complete the hemisphere with dimensioning, center lines and direction of

viewing. Using conventional lines.

1. Draw an isometric projection of a triangular prism having base edge of 65 mm and axial

height of 85 mm, resting on one of its rectangular faces on H.P. keeping its base

perpendicular to V.P.

2. Draw an isometric projection of a pentagonal prism of base side of 35 mm and axial length

of 60 mm kept on one of its face on H.P. with one rectangular face parallel to H.P. on top

and axis is perpendicular to V.P.

3. A square pyramid is resting on its base, having base edge 60 mm and axial height of 70 mm

with its base edge parallel to V.P. Draw its isometric projection.

4. Draw an isometric projection of a hexagonal pyramid having base edge 35 mm and axis of

65 mm resting on its base on H.P. Keep two of its base side perpendicular to V.P.

EXERCISE

∅ 60

F

Fig 1.27

O

o

30o

30

ISOMETRIC PROJECTION

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25ENGINEERING GRAPHICS

5. Draw an isometric projection of a frustum of hexagonal pyramid of shorter base side of 25

mm and longer base side of 45 mm and height of 75 mm resting on its larger base on H.P.

with two of its base sides parallel to V.P.

6. Draw an isometric projection of a hemisphere of 50 mm diameter kept with circular face

on H.P.

We have already studied and learnt the isometric projection of single geometrical solids in

vertical position and horizontal position by using box method from the helping view of the solid.

Now we will learn the two geometrical solids placed together i.e. one resting (either vertical or

horizontal) on top of the other solid in isometric position (either vertical or horizontal). This is

known as 'combination of solids'. As per the course content in our syllabus we are going to restrict

our combination using two solids only.

The study of the combination of solids will help us in understanding the machine blocks to be done

in isometric position and assembly drawings of the functional machine components at a later

stage in Engineering Graphics.

Draw an Isometric Projection of a square prism having side of the square = 30 mm

and height = 54 mm standing (upright) and centrally on a flat square slab of

thickness = 26 mm and its base side = 52 mm.

Fig 1.28

1.4 COMBINATION OF TWO SOLIDS

Example : 1.21

ISOMETRIC PROJECTION

26

SQ52

o30

o30

F

SQ 30

54

O

ISOMETRIC PROJECTION

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26 ENGINEERING GRAPHICS

Steps:

Example: 1.22

1. Draw an isometric projection of the square slab.

2. Indicate the center of the top face with centre lines.

3. Around the centre 'O' draw the rhombus of the square prism and lift it upto its

required height.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their common axis using convention lines.

Draw an Isometric Projection of 32 mm cube resting centrally on the top face of

an equilateral triangular prism having 50 mm base side and height = 30 mm. One

rectangular face of the prism is away from the observer and kept parallel to the

V.P.

Fig 1.29

ISOMETRIC PROJECTION

50

HELPING FIGURE

32

32

O

30

30°

50

ISOMETRIC PROJECTION

30°

F

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27ENGINEERING GRAPHICS

Steps:

Example: 1.23

1. Draw an isometric projection of the box that encloses an equilateral triangular

prism having one of its rectangular face at the back.

2. Indicate the centre of the top face with convention lines.

3. Around the centre 'O' draw the rhombus of the square of cube and lift it upto its

height equal to the side of cube.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their common axis using conventional lines.

Draw an Isometric Projection of a square pyramid resting vertically and centrally

on the top pentagon face of a pentagonal prism, having one rectangular face

parallel to V.P. while closer to the observer. Side of the square base = 30 mm,

height of pyramid = 50 mm, side of the pentagon = 34 mm and height of the prism

= 52 mm.

Fig 1.30

ISOMETRIC PROJECTION

HELPING FIGURE

34

O

30

34

o30

o30

52

50

O

F

ISOMETRIC PROJECTION

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28 ENGINEERING GRAPHICS

Steps:

Example:1.24

1. Draw an isometric projection of the box that encloses pentagonal prism having

one of its rectangular face, in front, parallel to V.P.

2. Indicate the centre of the top face with conventional lines.

3. Around the centre 'O' draw the rhombus of the square base of the pyramid. Draw

the axis of the pyramid from the centre to apex.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their common axis using conventional lines.

Draw an Isometric Projection of an equilateral triangular pyramid resting

vertically and centrally with one base edge, at the back, parallel to V.P. on the

top face of a hexagonal prism having two of its rectangular faces parallel to V.P.

Side of the triangle = 34 mm, height of pyramid = 50 mm, side of the hexogen = 30

mm and height of the prism = 60 mm.

Fig 1.31

ISOMETRIC PROJECTION

34

O

30

HELPING FIGURE

60

30

o30 o

30

ISOMETRIC PROJECTION

F

50

O

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29ENGINEERING GRAPHICS

Steps:

Example: 1.25

1. Draw an isometric projection of the box that encloses hexagonal prism having

two faces parallel to V.P.

2. Indicate the centre of the top hexagon face with conventional lines.

3. Around the centre 'O' draw the equilateral triangle base of the pyramid. Raise the

axis of the pyramid from the center to apex.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their common axis using conventional lines.

Draw an Isometric Projection of a vertical regular pentagonal pyramid resting

centrally, having one base edge away from the observer parallel to V.P., on top of

a vertical cylinder. Side of the pentagon = 32 mm, height of pyramid = 50 mm,

diameter of cylinder = 76 mm and height of cylinder = 40 mm.

Fig 1.32

ISOMETRIC PROJECTION

HELPING FIGURE

32

50

O

ISOMETRIC PROJECTION

40

F

O

Ø76 o30

o

30

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30 ENGINEERING GRAPHICS

Steps:

Example: 1.26

1. Draw an isometric projection of the box that encloses a cylinder. Use four centre

method to form the top elliptical face of the cylinder.

2. Indicate the centre of the top face with conventional lines.

3. Around the centre 'O' draw a pentagonal base of the pyramid. Draw the axis of the

pyramid from the centre to apex.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their common axis using conventional lines.

Draw an Isometric Projection of a right circular cone resting vertically and

centrally on the top of pentagonal slab having one of its rectangular face

perpendicular to the observer. Side of pentagon = 46 mm, thickness of slab = 30

mm, diameter of cone = 40 mm and height of cone = 60 mm.

Fig 1.33

ISOMETRIC PROJECTION46 O

30

o30

o

30

F

ISOMETRIC PROJECTION

Ø 40

O

60

HELPING FIGURE

46

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31ENGINEERING GRAPHICS

Steps:

Exmple : 1.27

1. Draw an isometric projection of the box that encloses a pentagonal prism having

one rectangular face perpendicular to V.P.

2. Indicate the centre of the top pentagonal face with conventional lines.

3. Around the centre 'O' draw a rhombus for the circular base of cone. Using four

centre method draw an ellipse inside. Draw the axis of the cone from the centre

of base to apex.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their common axis using conventional lines.

Draw an Isometric Projection of hemisphere resting centrally on its curved

surface, on the top horizontal rectangular face of an equilateral triangular prism,

keeping two triangular faces parallel to the V.P. Side of equilateral triangle = 50

mm, length of the prism = 70 mm and diameter of the hemisphere = 60 mm.

Fig 1.34

ISOMETRIC PROJECTION

50

O

ISOMETRIC PROJECTION

HELPING FIGURE

70

o30

o

30

01

ISO

30

50

O

Ø60

F

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32 ENGINEERING GRAPHICS

Steps:

Example: 1.28

1. Draw an isometric projection of the horizontal box that encloses an equilateral

triangular prism with a rectangular face on top.

2. Indicate the centre of the top rectangular face with conventional lines.

3. From the centre 'O' draw the axis equal to isometric radius of the hemishphere to

01. Around the centre 'O' 1 draw rhombus. Use four center method to form the top

elliplical face. Draw an arc to complete the curved surface.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their axes as applicable, using conventional lines.

Draw an Isometric Projection of a sphere resting centrally on a rectangular face

of a horizontal hexagonal prism having its hexagonal ends perpendicular to V.P..

Side of hexagon = 30 mm, length of the prism = 80 mm and diameter of sphere = 60

mm.

Fig 1.35

ISOMETRIC PROJECTION

30

ISOMETRIC PROJECTION

HELPING FIGURE

ISO

30

80F

TRUE 30O1

O

30

30°3

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33ENGINEERING GRAPHICS

Steps:

Example: 1.29

1. Draw an isometric projection of the horizontal box that encloses a hexagonal

prism having rectangular face on top.

2. Indicate the centre of the top rectangular face with conventional lines.

3. Form the centre 'O' draw the axis equal to isometric radius of sphere to point 'O1'.

From the centre 'O1' draw a full circle equal to true radius of sphere.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their axes, as applicable, using conventional lines.

Draw an Isometric Projection of a right circular cone resting vertically and

centrally on the top horizontal rectangle of a pentagonal prism having its axis

parallel to H.P. and V.P. both. Side of pentagon = 34 mm, length of the prism = 80

mm, diameter of the cone = 44 mm and height of cone = 60 mm.

Fig 1.36

ISOMETRIC PROJECTION

34

HELPING FIGURE

O

O

ISOMETRIC PROJECTION

60

34

80

F

30°30

°

Ø44

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34 ENGINEERING GRAPHICS

Steps:

Example: 1.30

1. Draw an isometric projection of horizontal box that encloses a pentagonal prism

having one rectangular face on top.

2. Indicate the centre of the top rectangular face with conventional lines.

3. Around the centre 'O' draw a rhombus of the circular base of cone. Using four

centre method draw an ellipse inside. Draw the axis of cone from the centre of

apex.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their axes as applicable, using conventional lines.

Draw an Isometric Projection of a vertical regular hexagonal pyramid resting

vertically and centrally having two of its base edges perpendicular to V.P.. On the

top rectangular face of a horizontal square prism with its square ends

perpendicular to V.P.. Side of the square = 50 mm, length of the prism =100 mm,

side of the hexagon = 30 mm and height of the pyramid = 60 mm

Fig 1.37

ISOMETRIC PROJECTION

HELPING FIGURE

30

O

O

ISOMETRIC PROJECTION

F

60

SQ

50

100

30

30°3

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35ENGINEERING GRAPHICS

Steps:

1. Draw an isometric projection of square prism in horizontal position.

2. Indicate the centre of the top rectangular face with conventional lines.

3. Around the centre 'O' draw hexagonal base of the pyramid. Draw the axis of the

pyramid from the centre to the apex.

4. Join all the visible edges (no hidden lines) of the two solids by using thick lines.

5. Complete the isometric projection of the two solids with dimensioning, direction

of viewing and their axes, as applicable, using conventional lines.

1. BELOW: HEMISPHERE 2. BELOW: HEXAGONAL SLAB

ABOVE: CYLINDER ABOVE: PENTAGONAL PRISM

COMMON AXIS: VERTICAL COMMON AXIS: VERTICAL

ISOMETRIC PROJECTION

62

Ø 42

25

45

25

50

MORE TO DO

Ø 80

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36 ENGINEERING GRAPHICS

3. BELOW: CIRCULAR SLAB 4. BELOW: CIRCULAR SLAB

ABOVE: HEXAGONAL PRISM ABOVE: PENAGONAL PRISM

COMMON AXIS : VERTICAL AXIS: VERTICAL AND HORIZONTAL

5. BELOW: CIRCULAR SLAB 6. BELOW: CUBE

ABOVE: EQUILATERAL TRIANGULAR PRISM ABOVE: CONE

AXIS: VERTICAL AND HORIZONTAL COMMON AXIS: VERTICAL

ISOMETRIC PROJECTION40

25

70

20

25Ø 80 20

Ø 80

30

Ø 90

50

40

70 70

Ø 50

70

70

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37 ENGINEERING GRAPHICS

7. BELOW: CIRCULAR SLAB 8. BELOW: EQUILATERAL HORIZONTAL

TRIANGULAR PRISM

ABOVE: HEXAGONAL PRISM ABOVE: SQUARE PYRAMID

AXIS: VERTICAL AND HORIZONTAL AXIS: HORIZONTAL AND VERTICAL

9. BELOW: EQUILATERAL TRIANGULAR SLAB 10. BELOW: HEXAGONAL SLAB.

ABOVE: CYLINDER ABOVE: HEMISPHERE

COMMON AXIS : VERTICAL COMMON AXIS : VERTICAL

ISOMETRIC PROJECTION

66

25

Ø 92

82

60

5654

70

Ø 54

66

Ø 88

42

40

R

44

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38 ENGINEERING GRAPHICS

11. BELOW: CIRCULAR SLAB 12. BELOW: HORIZONTAL HEXAGONAL PRISM

ABOVE: PENTAGONAL AND PYRAMID ABOVE: CYLINDER

COMMON AXIS : VERTICAL AXIS: HORIZONTAL AND VERTICAL

13. BELOW: EQUILATERAL TRIANGULAR SLAB 14. BELOW: HEMISPHERE

ABOVE: HEXAGONAL PYRAMID ABOVE: SPHERE

COMMON AXIS : VERTICAL COMMON AXIS : VERTICAL

ISOMETRIC PROJECTION

62

Ø 84

44

50

10230

Ø 42

86

32

66

R 25

40

Ø 80

32

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39ENGINEERING GRAPHICS

15. BELOW: CIRCULAR SLAB 16. BELOW: HORIZONTAL HEXAGONAL PRISM

ABOVE: HEXAGONAL PYRAMID ABOVE: RIGHT CIRCULAR CONE

COMMON AXIS : VERTICAL AXIS: HORIZONTAL AND VERTICAL

ISOMETRIC PROJECTION

30

66

32

78

Ø 60

72

30

Ø 78

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40 ENGINEERING GRAPHICS

A. DRAWING OF MACHINE PARTS

2.1 INTRODUCTION

2.2 SCREW THREAD

In our day to day life, we come across many objects where bolts and nuts are used to join two

pieces together. For example we use wooden furnitures like desks, stools, tables etc. in school,

showing bolts, nuts and screws. Such machine parts which are used to connect two pieces

together are called as fasteners. There are two types of fasteners, viz, temporary fasteners and

permanent fasteners. Threaded fasteners like bolt and nut are temporary fasteners. The process

of joining different machine parts of machine or engineering products is called as fastening.

Permanent fastening such as welding, riveting etc. join two parts together permanently and they

cannot be separated without breaking the fastening, but in the case of temporary fastening, the

parts are joined together temporarily and can be separated easily without breaking the

fastening.

Fig 2.1 a

Recall that we have studied helix in class XI. A continuous helical groove cut along the outer

circumference of a cylindrical surface is called a screw thread. A screw thread is an operating

element of temporary fastening. Screw thread occurs on practically all engineering products.

FIG.2.1 shows a screw thread/helical groove on a cylindrical rod.

MACHINE DRAWING

CHAPTER 2

HELICAL SCREW THREAD

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ENGINEERING GRAPHICS 41

Fig 2.1 b :

Screw threads are widely used for temporary fastening as well as for transmission of power from

one machine parts to another

The various terms in connection with screw threads are given below. Refer Fig.2.2

2.3 TERMS USED IN THREADS / SCREW THREADS

Fig.2.2

Outside dia. Depth

Lead

Flank

Angle

Root or core dia.

Slope

Crest

Root

Pitch

(A) EXTERNAL RIGHT HAND THREAD

(B) INTERNAL LEFT HAND THREAD

(C) EXTERNAL LEFT HAND THREAD

MACHINE DRAWING

Nominal Dia.

Axis

SCREW THREAD

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42 ENGINEERING GRAPHICS

MACHINE DRAWING

(i) EXTERNAL THREAD

It is a continuous helical groove or ridge cut along the external surface of the

cylinder, e.g. threads on bolts studs, screws etc. FIG 2.2(a) shows an external

thread.

(ii) INTERNAL THREAD

It is a thread on the internal surface of a hollow cylinder. FIG 2.2(b) shows the

internal threads, e.g. threads of a nut.

(iii) SCREW PAIR

The bolt and nut together called as screw pair. One or more such pairs are used to

join two parts.

(iv) PARALLEL AND TAPER THREAD

A thread formed on the surface of a cylinder is called as parallel or straight thread.

Refer Fig 2.3(a)

Fig 2.3

A thread formed on the surface of a cone called as taper thread. Refer FIG 2.3(b)

(B) TAPER THREAD

(A) PARALLEL THREAD

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ENGINEERING GRAPHICS 43

(v) RIGHT HAND AND LEFT HAND THREADS

Consider any nut and bolt. Hold the bolt firmly in left hand and rotate the nut

clockwise by the right hand, the nut will screw on the bolt of the threads are right

handed. It is abbreviated as RH thread. A left hand screws thread when assembled

with a stationary mating bolt, screws off the bolt for clockwise rotation. It is

abbreviated as LH thread.

Observe that mostly the bolts and nuts that we use in daily life have RH thread.

Also we can observe that all the jewellery mating pieces have LH thread.

(vi) PITCH, P

It is "the distance between the corresponding points on the adjacent threads,

measured parallel to the axis". Refer FIG2.2 (a)

(vii) LEAD,L

It is "the distance moved by a nut or bolt in the axial direction in one complete

rotation".

(viii) SINGLE START AND MULTI START THREADS

When only one helix, forming the thread runs on a cylinder, it is called as single

start thread. If more then one helices run on a cylinder, it is called as multi start

threads.

i.e. L=P in the case of single start

L=2P in the case of double start

L=3P for triple start and so on.

(ix) CREST

It is the edge of the thread surface farthest from the axis, in case of external

thread and nearest to the axis, in case of internal thread

(x) ROOT

It is the edge of the thread surface nearest to the axis in case of external thread

and farthest from the axis, in case of internal thread.

(xi) FLANK

The surface connecting crest and root is called as flank.

(xii) THREAD ANGLE

It is "the angle between the flanks measured in an axial plane".

MACHINE DRAWING

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44 ENGINEERING GRAPHICS

MACHINE DRAWING

(xiii) MAJOR DIAMETER OR OUTSIDE DIAMETER

It is the diameter of an imaginary coaxial cylinder just touching the crest of

external threads or roots of internal threads. It is the largest diameter of a screw

thread.

(xiv) MINOR DIAMETER OR ROOT DIAMETER OR CORE DIAMETER

It is the diameter of an imaginary co-axial cylinder just touching the roots of

external threads or crest of internal threads.

(xv) NOMINAL DIAMETER

It is the diameter of the cylinder from which external threads are cut out. The

screw/bolt is specified by this diameter.

(xvi) FORM / PROFILE OF SCREW THREAD

Fig 2.4

The section of a thread cut by a plane containing the axis is known as the form of

the screw thread. It is also called the profile of the thread. Refer FIG 2.4

SECTION

P P

PROFILE OF SCREW THREAD

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ENGINEERING GRAPHICS 45

MACHINE DRAWING

2.4 STANDARD PROFILE / FORM OF SCREW THREADS

There are two basic screw thread profiles. viz.

(a) Triangular or 'V' thread

(b) Square thread.

When the thread has a triangular or V-cross section, it is called as V-threads. All types of V-

threads have inclined flanks making an angle between them. In the practical use of the

threads, a clearance must be provided between the external and internal threads. V

threads are used "to tighten two parts together" as in bolts and nuts, studs and nuts,

screws etc.

For interchangeability between the screws and nuts of the same nominal diameter and

form, various countries have standardized V-thread profiles. A few such standard thread

forms are given in our syllabus namely

(i) B.S.W. thread

(ii) Metric thread

When the thread has square cross section it is called as square thread. Flanks of square

threads are vertical and parallel to each other. "square threads are used for power

transmission" on feed mechanism of machine tools, screw jacks etc, when less friction

means saving of power as they offer less frictional resistance. In our syllabus we are going

to study about the standard profile/ form of a few square threads viz.

(i) Square thread

(ii) Knuckle thread

British standard whitworth (B.S.W.) thread is the most widely used form in British

practice. Let us now learn to draw the standard profile of B.S.W. thread.

Draw to scale 1:1, standard profile of B.S.W. thread, taking pitch = 40 mm. Give

standard dimensions.

(a) TRIANGULAR OR 'V' THREAD

(b) SQUARE THREAD

2.4.1 PROFILE OF B.S.W. THREAD

Example 1:

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46 ENGINEERING GRAPHICS

MACHINE DRAWING

Solution

Steps Involved

Fig 2.5

(i) Draw vertical centre lines separated by the distance of P/2, (P/2=20 mm).

(ii) Draw two horizontal lines separated by a distance of major diameter D=0.96P.

(iii) One sixth of 'D' is cut off parallel to the axis of the screw at top and bottom, to draw

the horizontals for minor diameter, d= 0.64P.

(iv) Draw the basic or fundamental triangles within the D lines, such that the angle

between the flanks is 55°.

(v) Draw arcs at crest and roots, to make it round by any suitable method. The method

is shown clearly in FIG 2.5, or radius of the arc can be taken as r= 0.137P.

(vi) Complete the profile and hatching is done as shown in FIG 2.5, to represent the

external thread.

(vii) Standard dimensions are to be done as shown in the above figure.

BRITISH STANDARD WHITWORTH THREAD (B.S.W. THREAD)

P 0.5 P

d =

0.6

4 P

D =

0.9

6 P

D 6D 6

P

40

D

38.4

d

25.6

D/6

6.5

55°

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ENGINEERING GRAPHICS 47

MACHINE DRAWING

2.4.2 METRIC THREAD

Example 2:

The Bureau of Indian standards (BIS) has recommended the adoption of ISO (INTERNATIONAL

ORGANISATION FOR STANDARDISATION) profile with the metric screw thread system. In metric

thread, the external and internal thread vary in shape. It can also be called as unified thread. In

general, this ISO-metric thread will be specified using the basic designation. The basic

designation consist of the letter M followed by the nominal size (major diameter in mm) and

followed by the pitch in mm.

For example

M20 x 1.5 means the major diameter of the metric thread is 20mm and the pitch is 1.5mm. Let us

now draw the standard profiles of metric screw thread

Draw to scale 1:1, the standard profile of metric screw thread (external) taking

enlarged pitch as 50mm. Give standard dimensions.

Fig 2.6

d =

0.6

1 P

D =

0.8

66 P

METRIC SCREW THREAD PROFILE

D 6

D 8

EXTERNAL THREAD

60º

P

50

0.86P

43

0.61P

30.5

D/8

6.3

D/6

8.3

P 0.5 P

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48 ENGINEERING GRAPHICS

MACHINE DRAWING

Solution:

Example 3 :

Solution :

(i) Draw vertical centre lines P/2 apart i.e. 50/2=25mm apart.

(ii) Draw horizontals to indicate D, D=0.866, apart.

(iii) Cut off one eighth of D at the top and one sixth of D at the bottom or draw

horizontals to indicate d=0.61P with the 'D'.

(iv) Draw the slanting lines representing the sides of the thread. Here the angle

between the flanks is 60°.

(v) Make the crest flat and roots round. Roots are made round by any suitable method.

(vi) Hatching is done as shown in fig.2.6. This lower hatched profile shows the basic

form of the bolt.

(vii) Dimensioning is done as shown is FIG 2.6

Draw to scale 1:1, the standard profile of metric screw thread (internal) taking

enlarged pitch as 50mm. Give standard dimensions.

Refer Fig 2.7

Fig 2.7

d =

0.5

4 P

D =

0.8

66 P

D 8

INTERNAL THREAD

P 0.5 P

60º

D 4

P

50

D=0.86P

43

d=0.54P

27

D/8

6.3

D/4

12.5

METRIC SCREW THREAD PROFILE

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ENGINEERING GRAPHICS 49

MACHINE DRAWING

Steps involved are similar to the previous example. Here the upper hatched profile shows the

basic form of nut.

Mechanisms of machine tools, valves, spindles, vice screws etc. are generally provided with

square threads. A "square thread (SQ) is specified by nominal diameter and pitch". For example a

square thread of nominal diameter = 40 mm and pitch = 4mm is designated as SQ 40x4

Let us now learn to draw the standard profile of a square thread, taking enlarged pitch as 60mm.

Refer Fig 2.8

(i) Draw two horizontals, P/2 apart i.e. 60/2= 30mm apart.

(ii) Draw a number of perpendiculars, 30mm apart so as to have a row of squares.

(iii) Hatching and dimensioning is done as shown in fig 2.8

Fig 2.8

Knuckle thread is a modified form of square thread. Knuckle thread is a special purpose thread. It

is used in railway carriage coupling screws and on the neck of glass bottles.

Let us now draw the standard profile of Knuckle thread.

2.4.3 SQUARE THREAD

Solution :

Steps Involved

2.4.4 KNUCKLE THREAD

P 0.5P

0.5

P

90º

P

60

0.5P

30

ANGLE

90°

PROFILE OF SQUARE SCREW THREAD

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50 ENGINEERING GRAPHICS

MACHINE DRAWING

Example 5 :

Solution :

Steps Involved

Exercises

Draw to scale, 1:1, the standard profile of a Knuckle thread, taking enlarged pitch

as 40mm

Refer Fig.2.10

Fig 2.10

(i) Draw a thin centre line.

(ii) On either side of the centre line draw a row of tangential semi circles as shown

clearly in fig 2.10 Care should be taken in free flowing of semi circles into one

another.

(iii) Hatching and dimensioning is done as shown in fig 2.10

1. Draw to scale 1:1, the standard profile of BSW thread, taking enlarged pitch as

30mm. Give standard dimensions.

2. Draw to scale 1:1, the standard profile of metric thread (external) taking enlarged

pitch as 60mm. Give standard dimensions.

3. Draw to scale 1:1, the standard profile of metric thread (internal) taking enlarged

pitch as 60mm. Give standard dimensions.

4. Draw to scale 1:1, the standard profile of square thread, taking enlarged pitch as

60mm. Give standard dimensions.

5. Draw to scale 1:1, the standard profile of knuckle thread, taking enlarged pitch as

40mm. Give standard dimensions.

P 0.5P

0.5P

P

40

0.5P

20

0.25P

10

R=0.25P

PROFILE OF A KNUCKLE SCREW THREAD

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ENGINEERING GRAPHICS 51

MACHINE DRAWING

2.5 BOLTS

In day to day life, we can observe many machine parts joined by bolt and nut. Now, let us study

about the bolts.

A bolt consists of a cylindrical body with one end threaded and the other end converted into a

head. It is passed through clearance holes (diameter slightly more than nominal diameter of bolt)

in two or more aligned parts. A nut is screwed on the threaded end of the bolt to tighten the parts

together. Different types of bolts are used for different purposes. The shape of the head also

depends upon the purpose for which the bolt is used. The length of a bolt is its total length,

"excluding the height or thickness of bolt head". Bolt has external thread. An external thread is

represented by "discontinuous, minor diameter circle".

Fig 2.11a

We are going to study about the following types of bolts

(i) Hexagonal headed bolt

(ii) Square headed bolt

(iii) Tee headed bolt

(iv) Hook bolt

It is the most commonly used form of the bolt. The head of a

hexagonal head bolt is a hexagonal prism with a conical

chamfer rounded off at an angle of 30° on the outer end face.

All dimensions of a hexagonal head bolt and hexagonal nut are

same except the height or thickness of the hexagonal head. The

approximate height/thickness of the bolt head is 0.8d (d is the

diameter of the bolt). A little portion (about 3 mm) of the

threaded end should remain outside the nut.

Let us now learn to draw the views of a hexagonal headed bolt.

2.5.1 HEXAGONAL HEADED BOLT

THREADED LENGTH

T LENGTH OF THE BOLT

THICKNESS OF THE BOLT HEAD

SQUARE BOLT

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52 ENGINEERING GRAPHICS

MACHINE DRAWING

EXAMPLE 6:

Solution:

Steps Involved

Draw to scale 1:1, the front view and side view of a hexagonal headed bolt of

diameter 30mm, keeping the axis parallel to H.P and V.P. The length of the bolt is

120mm.

Refer Fig. 2.12a

Fig 2.12a

(i) "Start with the view where circles are seen". Here the side view shows the circles

representing the shank. So, start with the side view.

(ii) Draw a circle of given diameter, d= 30mm

(iii) Draw another circle of diameter 0.8d (24mm), which is shown as

broken/discontinuous circle. (Broken part is shown in III quadrant) 'This inner

broken circle indicates that the thread on the bolt is an external thread'.

(iv) Draw another circle of diameter 1.5d+3 mm

(48 mm) indicate the chamfering circle.

(v) Circumscribe hexagon around the chamfering

circle as in Fig. 2.12b using 30°-60° degree

set square and minidrafter.

(vi) After completing the side view, the front view

will be drawn by taking projections. Project

the shank diameter (d= 30 mm) from the side

view. Draw a rectangle of size 30x120 mm for

the shank (120 mm is the length of the shank)

1.5d+3

LEFT HAND SIDE VIEW

0.8d SHANK LENGTH

2d+6

0.8d

R = d

Ø 3

0

60°

60°

60°

30°

d

30

0.8d

24

1.5d+3

48

2d+6

66

FRONT VIEW

Fig 2.12 b

30º30º

HEXAGONAL BOLT

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ENGINEERING GRAPHICS 53

MACHINE DRAWING

(vii) The end of the bolt is rounded and is done with the radius equal to the diameter of

the bolt. (R = d = 30mm)

(viii) Indicate the threaded portion (by projecting the 0.8d = 24mm circle with "thin

continuous lines") at the end of the shank for the length of 2d+6 mm =66mm

(ix) Draw the head of the bolt in the front view, by projecting the hexagon from the

side view. Size A/C (across corners) will be projected to get the width of the head.

Height of the head is taken as 0.8d= 24mm.

(x) The three faces of the hexagonal head with chamfering arcs is drawn by any of the

appropriate method.

(xi) The centers of chamfering arcs for the three faces may be located as shown in the

Fig 2.12a

Keep in your mind that, on elevation showing "three faces" of the hexagonal head,

show the upper corners of the head chamfered. On elevations showing "two faces"

of the hexagonal head, show the upper corners square.

It is also the common form of the bolt and is

generally used where the head of the bolt is to be

accommodated in a recess. The recess itself is in the

form of square in which the head rests having a little

clearance. "The square recess prevents the head

from rotating" when the nut is screwed on or off.

When the square head of the bolt projects outside

the parts to be joined, it is provided with a square

nut. The dimensions of the square head are as those

of the square nut "except the height or thickness"

Let us now learn how to draw the views of a square

headed bolt.

Draw to scale 1:1 the Front view and Plan of a square head bolt when it axis is

perpendicular to H.P. Take the diameter of the bolt as 24mm, and length as 110

mm.

Refer Fig 2.14

2.5.2 SQUARE HEADED BOLT

Example 7 :

Solution :

Fig 2.13

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54 ENGINEERING GRAPHICS

MACHINE DRAWING

Steps Involved

(i) Since the circles are seen in the top

view, start with the top view. Draw a

circle of diameter, d= 24 mm.

(ii) Within the'd' circle, draw an another

discontinuous/broken circle of

diameter = 0.8d say 19.2 mm to the

bolt.

(iii) Draw the chamfering circle of

diameter =1.5d+3 mm, say 39 mm.

(iv) Circumscribe square around the

chamfering circle.

(v) Project the Front view from the top

view. Construct a rectangle of size

Ød x length of the bolt, 24x110mm.

The end of the bolt is rounded and is

done with the radius equal to the

diameter of the bolt. (R = d = 24 mm)

Indicate the threaded portion at the

end of the shank for the length of 2d+6

mm = 54 mm.

(vi) Bolt head is drawn by projecting the

front view. Construct a rectangle of

(1.5d+3)x0.8d say 39x19.2 mm.

(vii) Chamfering arc is drawn with radius of

R = 2d = 48 mm.

(viii) All the standard dimensions are given

as shown in the Fig. 2.14

1.5

d+

30.8

dS

HA

NK

LE

NG

TH

R=

d

0.8

d

R=

2d

2d

+6

Fig. 2.14

d

24

0.8d

19.2

1.5d+3

39

2d+6

54

2d

48

Ø d

FRONT VIEW

SQUARE BOLT

TOP VIEW

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ENGINEERING GRAPHICS 55

MACHINE DRAWING

2.5.3 T-BOLT

Example 8 :

Solution:

Fig 2.15

The head of this bolt is just like the English alphabet 'T' Fig 2.15(i). It is "used in machine

tool tables". Corresponding T-slots are cut into the table [see Fig 2.15 (ii)] to

accommodate the T-head of the bolt. A square neck is usually provided with the head.

Draw to scale 1:1, the front view and side view of a T-Headed bolt of diameter

20mm. Keep the axis parallel to V.P and H.P.

Refer Fig. 2.16

Fig. 2.16

(I) T-BOLT (II) T-SLOT

R = d

2d+60.7d0.7d

Ød

0.8

d

S IDE VIEW FRONT VIEW

d

20

0.7d

14

0.85d

17

1.8d

36

1.8

d

T-HEADED BOLT

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56 ENGINEERING GRAPHICS

MACHINE DRAWING

Steps Involved

2.5.4 HOOK BOLT/J-BOLT

Example 9 :

Solution :

(i) Start with the side view where circles are seen. Draw outer and inner circle of

diameter, d= 25 mm and 0.8d= 20 mm respectively, with inner circle discontinuous

or broken.

(ii) Then the front view is drawn with the shank and bolt head as shown clearly in the

Fig. 2.16

Observe that the square cross section is shown by drawing thin cross lines

(iii) Then complete the side view by projecting the T-head.

(iv) Dimensioning is done as shown in the Fig. 2.16

Fig 2.17

Fig 2.17(b) shows the pictorial view of a hook bolt. It is segment of a circular plate form of

the bolt of which the head projects only in the side of the shank. The shank of the bolt

passes through a hole in one part only. The other part to be joined comes under the head of

the bolt. A hook bolt is usually provided with a square neck to prevent its rotation while

tightening.

Draw to scale 1:1, the front view and plan of hook bolt with diameter 20 mm,

keeping the axis vertical. Give standard dimensions.

Refer Fig 2.18

d

0.8

d

d

R = 0.9d

(b) PICTORIAL VIEW OF A J BOLT(a) J -BOLT I N POSITION

HOOK BOLT / J-BOLT

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ENGINEERING GRAPHICS 57

MACHINE DRAWING

Steps Involved

Exercises

(i) Start with the view having

circles. Here start with the

top view. Draw centre lines

and draw outer and inner

circle of diameter d= 20mm

and 0.8d= 16mm respectively.

To indicate the external

thread of the bolt, 0.8d circle

is drawn broken.

(ii) Complete the shank portion of

the front view as shown

clearly in the Fig. 2.18

(iii) Head portion of the front view

is complete and the square

cross section is shown as thin

cross lines.

(iv) Complete the hook portion of

the top view by projecting the

front view.

(v) Dimensioning is done as

shown in the Fig 2.18

NOTE: Assume missing dimensions proportionately

1. Draw to scale 1:1, the Front view, Top view and side view of a hexagonal head bolt of

diameter 24mm, keeping the axis parallel to H.P and V.P. The two opposite sides of the

hexagonal head is parallel to V.P. The length of the bolt is 120 mm.

2 Draw to scale 1:1, the Front elevation and Side view of a hexagonal headed bolt of

diameter 20mm, keeping the axis parallel to V.P and H.P. Give standard dimensions.

3 Draw to scale 1:1, the Front elevation and Plan of a hexagonal head bolt of M3O size,

keeping the axis vertical. Give standard dimensions.

4 Draw to scale 1:1, the Front view and Side view of a hexagonal headed bolt of diameter

24mm, keeping the axis parallel to V.P and H.P. Two opposite sides of the hexagonal head is

perpendicular to V.P. Take the following dimensions.

Length of the bolt = 120mm

Threaded length of the bolt = 80mm

TOP VIEW

FRONT VIEW

0.7

d2

d+

6Radius = 0.9d

Ød

R =

d

d 20

0.7d 14

0.8d 16

0.9d 18

HOOK BOLT / J-BOLTFig 2.18

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58 ENGINEERING GRAPHICS

MACHINE DRAWING

5 Draw to scale full size, the Front view, Top view and Side view of a square head bolt of

diameter 24mm, keeping its axis horizontal.

6 Draw to scale 1:1, the Elevation and Plan of a square head bolt of diameter 30mm, when

its axis is perpendicular to H.P. Give standard dimensions.

7 Draw to scale 1:1, the Front view and Side view of a T-head bolt of diameter 20mm. keep

the axis of the bolt parallel to V.P and H.P.

8 Draw to scale 1:1, the Front elevation and Plan of a tee head bolt of diameter 24mm,

keeping the axis perpendicular to H.P.

9 Draw to scale full size, the Elevation and Plan of a hook bolt with diameter = 20mm,

keeping the axis vertical. Give standard dimensions.

10 Draw to scale 1:1, the Front view, Side view of a hook bolt with diameter 25mm, when its

axis parallel to V.P and H.P. Give standard dimensions.

A nut is a machine element having a threaded hole that engages with the threaded end of the bolt.

There are different types of nuts in use. In our syllabus, we are going to study about hexagonal nut

and square nut.

Refer Fig 2.19

The most commonly used type of nut is the

hexagonal nut. It is a hexagonal prism

provided with a threaded hole. Upper

corners of a nut are "chamfered" or

"rounded- off". Chamfering is done to

remove sharp corners to ensure the safety

of the user. The angle of chamfer is usually

"30° with the base of the nut". The

chamfering gives arcs on the vertical faces

of the nut and circle on the top surface of

the nut. The chamfering circle on the top

surface touches the mid points of all the

side of the nut which can be seen in the

top view.

Let us now learn to draw the views of a hexagonal nut.

2.6 NUTS

2.6.1 HEXAGONAL NUT

Fig 2.19

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ENGINEERING GRAPHICS 59

MACHINE DRAWING

Example 10 :

Solution

Steps Involved

Draw to scale 1:1, the front view, top view and side view of a hexagonal nut of size

M30, keeping the axis perpendicular to H.P. Give standard dimensions.

Refer Fig 2.20

Fig 2.20

(i) Start with the top view, where circles are

seen. Draw a circle of diameter d = 30mm.

Describe this circle as discontinuous circle to

indicate the internal thread of a nut.

(ii) Draw an another circle of diameter 0.8d =

24mm

(iii) Draw the third circle which is of chamfering

circle of diameter 1.5d+3 = 48mm.

(iv) Circumscribe a hexagon around the

chamfering circle using the 30°- 60° degree

set square and mini drafter as shown in fig

2.21.Fig 2.21

TOP VIEW

FRONT VIEW

Ød

60°

60°

30°

d1.5

d+

3

0.8d

R =

d

LEFT HAND SIDE VIEW

NOTE : The size of chamfer

circle can be taken 1.5d

or 1.5d+3 in square / hex.

head bolt and nut.

d 30

0.8d 24

1.5d+3 48

30º30º

HEXAGONAL NUT

HEXAGONAL NUT

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60 ENGINEERING GRAPHICS

MACHINE DRAWING

(v) Project the top view to get front view. Front view has three faces if nut is placed

across corner (A/C) and front view has two faces if the nut is placed across flats

(A/F). This is the common position for the nut.

(vi) Chamfering arcs in the front view may be done by any suitable method. One of the

methods is clearly shown in figure 2.20.

The alternate method is given below for your reference.

• On the front view, describe arc ABC [fig.2.22] of radius 1.2d = 3mm. It cuts

the verticals in A and C. Here d = 25mm.

• Bisect the chord between D and A and between C and E.

• On the bisectors we shall expect to find the center of the arcs which flow

through DKA and CE.

• Join DK and bisect at right angles, thus locating the center of arc DKA.

Note that arc CE will also have the same radius.

(vii) Side view is projected from front view and top view. Side view and front view have

same height but different width.

(viii) Give the standard dimensions as shown in fig 2.20.

Fig 2.22

SIZE ACROSS CORNERS

K

D A B C E

30°

d

R =

1.2

d

d 25

1.2d 30

1.5d+3 40.5

Ød

HEXAGONAL NUT

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ENGINEERING GRAPHICS 61

MACHINE DRAWING

2.6.2 SQUARE NUTS

Example 11:

Solution:

Steps Involved

Fig 2.23

A square nut is also one of the main forms of nuts. It is a square prism provided with a

threaded hole. The upper corners of a square nut are chamfered in the same way as of

hexagonal nut. Now, let us learn to draw the view of a square nut.

Draw to scale 1:1, the Front elevation and Plan of a square nut of diameter 25mm,

keeping its axis vertical and two of the opposite edges of the square face parallel

to V.P.

Refer Fig 2.24

(i) Start with the top view. With same point as center, draw three circles of diameter d

= 25 mm, 0.8d = 20 mm, 1.5d =37.5 mm respectively.

Indicate the internal thread of the nut by drawing Ød circle discontinuous.

(ii) Circumscribe square around the chamfering circle of diameter 1.5d (37.5 mm)

(iii) Project the top view to get the front view. Front view is a rectangle of size

(1.5dxd) 37.5x25 mm.

(v) Chamfering arc in the front view is drawn with the radius R = 2d = 50 mm.

NOTE: that if one face the square nut is seen in the front view, make the corners squared.

(at 90° degree)

(v) Dimensioning is done as shown in Fig. 2.24

SQUARE NUTS

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62 ENGINEERING GRAPHICS

MACHINE DRAWING

Fig 2.24

Draw to scale full size the Front View and Top View of a square nut of diameter

25mm, keeping its axis vertical with the diagonal on the square face parallel to V.P.

Example 12 :

Fig 2.25

d

R =

2d

FRONT VIEW1.5

d

TOP VIEW

0.8dØdd 25

0.8d 20

1.5d 37.5

d

37.5

0.8d

20

1.5d

25

FRONT VIEW

1.5 d

TOP VIEW

0.8d

Ød

60°60°

30°

d

SQUARE NUT ACROSS FLAT

SQUARE NUT ACROSS CORNER

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ENGINEERING GRAPHICS 63

MACHINE DRAWING

Solution :

Steps Involved :

Exercises :

Refer Fig. 2.25

(i) Start with the top view. Describe three circles of diameter d = 25mm, 0.8d =

20mm, 1.5d = 37.5mm respectively. (Ød circle is broken to represent the internal

thread of the nut.)

(ii) Circumscribe square around the chamfering circle as shown in Fig 2.25

(iii) Project the Top View to draw the Front View

(iv) Complete the Front View as shown in Fig. 2.25.

NOTE: that when two faces of square nut are seen in front view, the corners are

chamfered.

ADDITIONAL INFORMATION

The hexagonal nut takes preference over the other nuts. A spanner is used to turn

the nut on or off the bolt. The jaws of the spanner come across the opposite flats of

the nut. The angle through which the spanner will have to be turned to get another

hold is only 60 in case of a hexagonal nut but 90° for a square nut. Though the angle

is 45 in case of the octagonal nut, it is rarely used due to its complicated process of

construction. So, it is more convenient to screw on a hexagonal nut than a square

nut in a limited space for turning the spanner.

NOTE : Assume missing dimensions proportionately

1. Draw to scale 1:1, the front elevation and plan of a hexagonal nut keeping axis

vertical, when two of the opposite sides of the hexagon are parallel to V.P. Give

standard dimensions.

2. Draw to scale 1:1, the Plan and Front View of a hexagonal nut, taking nominal

diameter of the bolt = 30mm, keeping the axis perpendicular to H.P and two

opposite sides of the hexagon perpendicular to V.P. Give standard dimensions.

3. Draw to scale 1:1, the Front View and Plan of square nut, taking nominal diameter

= 30mm, keeping the axis perpendicular to H.P and two opposite sides of the

square parallel to V.P. Give standard dimensions.

4. Draw to scale 1:1, the Front View and Top View of a square nut, taking nominal

diameter =30mm, keeping the axis perpendicular to H.P and two opposite sides of

the square perpendicular to V.P. Give standard dimensions.

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64 ENGINEERING GRAPHICS

MACHINE DRAWING

5. Draw to scale 1:1, the front view and plan of a square nut, taking d = 30mm,

keeping the axis perpendicular to H.P and the diagonal of the square face parallel

to V.P. Give standard dimensions.

You must have seen the circular plate called washer fitted in your mini drafter. Even, in jewellery

item like ear tops/studs, washer may be used to tighten the screw. There are two main kinds of

washer used in machinery, namely

(i) Plain washer.

(ii) Spring washer.

We are going to study only about the plain washer in our syllabus.

A plain washer see fig. 2.26 is a circular plate

having a hole in its centre. It is placed below the

nut to provide "a flat smooth bearing surface".

The use of a washer is recommended where the

surface of the machine part is rough for a nut to

seat. Washer also prevents the nut from cutting

into the metal thus allowing the nut to be

screwed more tightly.

Draw to scale 1:1, the front view and top view of a washer, taking the nominal

diameter of the bolt on which the washer is used = 25mm. Keep the circular face of

the washer parallel to V.P

Refer Fig 2.27

2.7 WASHER

2.7.1 PLAIN WASHER

Example 13:

Solution:

Fig 2.26

Fig 2.27

D+1

D8

2D+3mm

D

3

2D+3

53

D/8

25

PLAIN WASHER

WASHER

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ENGINEERING GRAPHICS 65

MACHINE DRAWING

Steps Involved

Example 14:

Solution:

(i) Start with the Front View, which comprises two circles with diameter D+1 = 26mm,

2D+3 = 53mm.

(ii) Project the front view to get the Top View which is a rectangle of size,[(2D+3) x

D/8], 53x3 mm. Complete the Top View as shown in the Fig 2.27

In common machineries used at home, we might have observed the assembly of bolt, nut and

washer to connect two parts together. See Fig 2.28

Fig 2.28

In the earlier topics, we learnt how to draw the views of bolt, nut and washer separately. Here,

we expect to understand the views of the assembly of bolt, nut and washer.

Draw to scale 1:1, the Front View, Top View and side view of a hexagonal headed

bolt of diameter 25mm with hexagonal nut and washer, keeping the axis parallel to

V.P and H.P

Refer Fig 2.29

2.8 COMBINATION OF BOLT, NUT AND WASHER FOR ASSEMBLING TWO

PARTS TOGETHER

Bolt

Nut

Washer

NUT, BOLT AND WASHER

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66 ENGINEERING GRAPHICS

MACHINE DRAWING

Fig 2.29

(i) Since the axis is parallel to both V.P and H.P, the side view reveals more

information about the shape of the object. So start with side view, where circles

are seen.

(ii) Draw two circles of diameter d = 25mm and 0.8d = 20mm, in dotted lines to

indicate the invisible feature from left side.

(iii) Draw the chamfering circle of diameter, 1.5d + 3mm =40.5mm

(iv) Circumscribe hexagon around the chamfering circle, using set-square and

minidrafter.

(v) Then draw a circle of diameter 2d + 3mm = 53mm for washer.

(vi) Project the side view to front view and top-view.

(vii) Both the views are completed as shown in the Fig 2.29

Steps Involed:

TOP VIEW

W

FRONT VIEW

W

WASHERBOLT UPTO 2d+6

NUT

0.8d

R = d

SIDE VIEW

Ø2

d

Ød

Ø2

d+

3

d

COMBINATION OF HEXAGONAL HEADED BOLT WITH HEXAGONAL NUT & WASHER

30°

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ENGINEERING GRAPHICS 67

MACHINE DRAWING

Example 15:

Solution:

Example 16:

Solution:

Draw to scale 1:1, the Front View and Side View of an assembly of hexagonal bolt of

diameter 24mm bolt length = 90mm and a hexagonal nut, keeping the axis parallel

to H.P and V.P

Refer Fig 2.30

The steps involved are similar to the previous example.

Fig 2.30

Draw to scale 1:1, the Front View and Side View of an assembly of a square bolt of

diameter 25 mm and a square nut, keeping the axis parallel to V.P and H.P. Take

length of the bolt as 100 mm.

Refer Fig 2.31

The figure is self explanatory.

1.2 d

RIGHT SIDE VIEW FRONT VIEW

2d+60.8d

L

d

28.8 39 54

0.8d

19.2

1.2d 1.5d+3 2d+6

24

SIDE VIEW FRONT VIEW1.5 d 0.8 d

R = 2d

Ø d

d

L

Fig 2.31

d

37.5 50 56

0.8d

20

1.5d 2d 2d+6

25

Ø1.5d+3Ød

Ø0.8d

0.8

d

COMBINATION OF HEXAGONAL HEADED BOLT WITH HEXAGONAL NUT

SQUARE BOLT AND SQUARE NUT IN POSITION

Ød

90

L

90

L

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68 ENGINEERING GRAPHICS

MACHINE DRAWING

Exercises:

NOTE: Assume missing dimensions proportionately

1. Draw to scale 1:1, the front view, top view and side view of an assembly of

hexagonal headed bolt of 30mm diameter with hexagonal nut and washer, keeping

the axis parallel to V.P and H.P. Give standard dimensions.

2. Draw to scale 1:1, the front view and side view of an assembly of a hexagonal bolt

of diameter 30mm and a hexagonal nut, keeping the axis parallel to V.P and H.P.

3. Draw to scale 1:1, the front view and side view of a square headed bolt of size M24,

fitted with a square nut, keeping their common axis parallel to V.P and H.P.

4. Draw to scale 1:1, the front view and side view of the assembly of square headed

bolt with a hexagonal nut and a washer, with the diameter of bolt as 30mm,

keeping their axis parallel to V.P and H.P and two of the opposite sides of the

square head of the bolt and of the hexagonal nut, parallel to V.P.

We are familiar with riveted joints with our kitchen wares likes pressure cooker and frying pan. In

pressure cooker, the handle is joined to the body by means of rivets. We can even notice the rivets

fitted, in shoes belts etc.

Rivets are one of the permanent fasteners and is used widely in steel structures. Rivets are used in

bridges, boilers and other engineering works. A rivet is a simple round rod having head at its one

end (see fig 2.32)

Fig 2.32

and the other end is made in the form of head when it is assembled to fasten the parts.

Rivet heads are of many shapes. The most common and easiest form of rivet is "snap head rivet"

(see Fig 2.32 (i)). It is also known as "cup head" or "spherical-head" rivet.

2.9 RIVETS AND RIVETED JOINTS.

(i) (ii)

RIVETS

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ENGINEERING GRAPHICS 69

MACHINE DRAWING

Riveted joints are of two types namely

(i) Lap joint

(ii) Butt joint

Lap joints may be single, double and multiple riveted. In class XII, we are going to study the views

of "single" riveted lap joint.

In single riveted lap joint, the plates to be joined together overlap each other and "a single

row of rivets" passes through both the plates.

Fig, 2.33

Let us now learn how to draw the views of single riveted lap joint.

Draw to scale 1:1, the top view and sectional front view of single riveted lap joint,

when the thickness of the plates to be joined = 16mm.

Refer Fig. 2.34

2.9.1 ORTHOGRAPHIC VIEWS OF SINGLE RIVETED LAP JOINT

Example 17:

Solution:

Fig, 2.34

m=1.5d

010

FRONT VIEW IN SECTION AT AA

TOP VIEW

AA

d t 25

d=6 t√ 24

m=1.5d

P=3d

36

72

PITCH

R=0.8d

0.7

d

t

t

m=1.5d

P=3

d

SINGLE RIVETED LAP JOINT.

SINGLE RIVETED LAP JOINT

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70 ENGINEERING GRAPHICS

MACHINE DRAWING

Steps Involved:

Exercises

Before starting the view, the standard dimensions are to be calculated as follows.

Let't' be the thickness of the plates to be be joined. Here t =16mm

The empirical formula for calculating the diameter'd' of the rivet to be used is given as

d = 6√t mm

So, d = √16

= 6x4 mm

d = 24 mm is the diameter of the rivet to be used in this case.

The margin 'm' is "the distance from the centre of the rivet to the nearest edge of the

plate", and is taken as m = 1.5d

= 1.5x24

= 36 mm

The pitch 'p' is the distance between the centres of the adjacent rivets, and is taken as

P = 3d

= 3x24

= 72mm

The angle 10 degree is made by the fullering tool (a special punch or chisel) to make the

joint leak proof. (The process of fullering is beyond the scope of this book.)

Then the top view and the sectional front view are to be done as shown clearly in fig 2.34.

The edges of the plates in the top view are shown in wavy lines to represent that "a part of

plates" are shown.

NOTE: Assume the missing dimensions proportionately

1. Draw to scale full size, the full sectional front view of a single riveted lap joint,

taking thickness of the plates as 09mm. Give standard dimensions.

2. Draw to scale 1:1, the front view in section and plan of a single riveted lap joint,

taking the thickness of the plates as 25mm. Give standard dimensions.

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ENGINEERING GRAPHICS 71

MACHINE DRAWING

2.10 INTRODUCTION

2.11 CONVENTIONAL REPRESENTATION OF THREADS

FREE HAND SKETCHES OF MACHINE PARTS

2.11.1CONVENTIONAL REPRESENTATION OF EXTERNAL V-THREADS

In freehand sketches of machine parts, the students must do the drawing without the use

of scale, instrument etc., Appropriate measurement is taken and correspondingly a table

for each figure must be made showing calculated values. The figure must show the

dimensions in terms of diameter 'd'.

In actual projection, the edges of threads would be represented by helical curves. It takes a lot of

time to draw helical curves. So, for convenience sake threads are generally shown by

conventional methods recommended by B.I.S

The Bureau of Indian standards has recommended a very simple method of representing V-

threads. Fig 2.35 shows the simplified representation of external V-threads. According to

this convention, two continuous thick lines and two continuous thin lines are drawn to

represent crest and roots of the thread respectively. The limit of useful length of the

thread is indicated by a thick line perpendicular to the axis.

Fig 2.35

The other way of representing external V-thread is as follows.

(i) Draw a rectangle (see fig 2.36) representing a cylinder with diameter equal to the

nominal diameter of the bolt.

(ii) Draw a line AB perpendicular to the bolt.

(iii) Make a point B' such that BB' = 0.5xpitch. BB is called as slope = 0.5P for a single

start thread. B' is located on the lower line for a right hand thread (RH thread)

Fig 2.36RIGHT HAND V-THREAD

A

B B'

SLOPE = 0.5 P

P

CONVENTIONAL REPRESENTATION OF EXTERNAL V-THREADS

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72 ENGINEERING GRAPHICS

MACHINE DRAWING

(iv) Fig 2.36 is the representation of RH thread. In the case of RH thread, for a

clockwise rotation, the thread is screwed on.

(v) Draw two thin lines parallel to the axis representing the roots of the thread.

(vi) On the thick line, mark the divisions equal to pitch. On the thin line, mark the

divisions = (p/2) such that they form the shape of 'V'

(vii) Join root to root points with thick lines and crest to crest points with thin lines

(viii) The side view has two circles representing the crest and root of the thread. Crest

circle is thick and continuous, whereas root circle is drawn thin and incomplete to

represent the external thread.

Similarly the LH-external V-thread can be represented as follows. Note that the

slope point is located on the top line and inclination of the line is opposite of

RH thread. see fig 2.37

Fig 2.37

Fig 2.38 shows the representation of internal V-threads. It shows the sectional view of a

threaded hole in the front view. Thick line indicates the crest and thin line indicates the

root. Section (hatching) lines are extended up to thick lines. The side view shows a thick

circle representing the crest and roots by thin incomplete circle

Fig 2.38

2.11.2CONVENTIONAL REPRESETATION OF INTERNAL V-THREADS

FRONT VIEW SIDE VIEW

A

B B'Slope = 0.5P

LEFT HAND V-THREAD

CONVENTIONAL REPRESENTATION OF INTERNAL V-THREADS

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ENGINEERING GRAPHICS 73

MACHINE DRAWING

2.11.3CONVENTIONAL REPRESENTATION OF EXTERNAL SQUARE THREADS

2.11.4CONVENTIONAL REPRESENTATION OF INTERNAL SQUARE THREADS

Fig 2.39(i) shows the conventional representation of external RH square threads. The

figure is self explanatory. Fig 2.39(ii) shows the LH square threads.

Fig 2.40(i) shows the representation of RH internal square threads and fig 2.40(ii) shown

LH internal square thread.

P

RIGHT HAND SQUARE THREAD

P

Slope = 0.5 P

Fig 2.39(i)

Fig 2.39(ii)

Fig 2.40 (i)

LEFT HAND THREAD (INTERNAL)

Fig 2.40 (ii)

RIGHT HAND THREAD (INTERNAL)

LEFT HAND SQUARE THREAD

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74 ENGINEERING GRAPHICS

MACHINE DRAWING

Exercises

Note: Take p = 5mm and other dimensions suitably

1. Sketch freehand the conventional representation of internal and external 'V'

threads.

2. Sketch freehand the single start conventional LH external square threads.

3. Sketch freehand the single start conventional RH external square threads.

4. Sketch freehand the conventional representation of internal and external square

threads.

A stud is a cylindrical piece of metal having

threads at both ends and is plain cylinder or

square cross section/ square neck or plain

cylinder or with collar in the central portion.

For connecting two parts, one end (metal end) of

the stud is screwed into a threaded hole in one part and the other end (nut end) is passed through

a clearance hole in the other part, so that the plain portion of the stud remains within this hole. A

nut is screwed on the open end of the stud. The portion of the stud where nut is screwed on is

called nut end and the other end of the stud is called metal end or stud end.

Stud is a headless bolt and is used where sufficient space for bolt head is not available. The

following fig 2.42 shows the view of a plain stud, stud with square neck and stud with collar.

2.12 STUDS

ØdØd

(i) PLAIN STUD

Ø d

(ii) STUD WITH SQUARE NECK

2d

+6

1.5 d

0.4

d

d

(iii) STUD WITH COLLAR

Fig 2.41

NUT END

METAL END

STUD

d

Fig 2.42

d t

o 1

.5d

2d

+6

d t

o 1

.5d

2d

+6

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ENGINEERING GRAPHICS 75

MACHINE DRAWING

Example 18:

Solution:

Steps Involved:

Example 19:

Solution

Sketch freehand the Front view and

Top view of a Plain stud of diameter =

20mm, keeping its axis vertical.

Fefer Fig 2.43

(i) Calculate the values of standard

dimensions.

(ii) Draw free hand two circles of

diameters d =20mm and 0.85d = 17

mm as top view.

(iii) Draw a rectangle for the front view

with approximate measurements.

(iv) The metal end is chamfered and the

nut end is either chamfered or

rounded.

(v) Dimension the views in term of 'd'.

Sketch free hand the Front view and Side view of a collar stud with diameter 20

mm, when its axis is parallel to V.P and H.P. Give standard dimensions.

NU

T E

ND

SID

E

2d

+6

AN

Y

ME

TA

L

EN

D S

IDE

d t

o 1

.5 d

0.85 d

Ø d

FRONT VIEW

d 20

0.85d 17

1.5d 30

2d+6 46

TOP VIEW

PLAIN STUDFig 2.43

COLLAR STUD Fig 2.44

d

20

1.5d

30

2d+6

46

0.4d

08

FRONT VIEW

2d+6

0.4d

SIDE VIEW

Ø d

Ø 1

.5 d

R=d

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76 ENGINEERING GRAPHICS

MACHINE DRAWING

Exercises:

NOTE: Assume missing dimensions proportionately

1. Sketch freehand the Front view and Top view of a Plain stud of diameter = 25mm,

keeping its axis perpendicular to H.P. Give standard dimensions.

2. Sketch freehand the Front elevation and Side view of a Plain stud of diameter d =

25mm, with its axis parallel to V.P and H.P.Give standard dimensions.

3. Sketch freehand the Front view and Top view of a stud with a square neck, keeping

the axis perpendicular to H.P. Give standard dimensions.

4. Sketch freehand the Front elevation and Side view of a stud with a square neck,

keeping the axis parallel to V.P.Give standard dimensions.

5. Sketch freehand, the Front view and Plan of a stud with collar, keeping the axis

vertical. Give standard dimensions.

A screw is a bolt which is threaded throughout its length. Generally it is

screwed into a threaded hole/tapped hole. Screws or machine screws are

available with different shapes of heads. The commonly used types of machine

screws are shown in fig 2.46

2.13 MACHINE SCREWS

TOP VIEW

FRONT VIEW FRONT VIEW

TOP VIEW

ROUND CUP HEAD COUNTERSUNK HEAD GRUB SCREWCHEESE HEAD

0.85d

FRONT VIEW

0.8

d 0.4d

0.2dR-0.9d

0.85d

0.2d

Ø 1.5d

0.8

d

0.2

5d

0.25d

0.2d

Ø 1.8d

0.1

2d

0.85d

0.6d

FRONT VIEW

0.25d 0.13d

R=d

45°

45°

Fig 2.45

L

L L

0.85d

SCREW

Ød = 10

MACHINE SCREWS Fig 2.46

Ø dØ d Ø d Ø d

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ENGINEERING GRAPHICS 77

MACHINE DRAWING

Example 20:

Solution:

Sketch freehand the front view and top view of a cheese head screw of size M2O,

keeping its axis vertical. Give standard dimensions.

Refer Fig 2.47

SOCKET HEAD SCREW

Fig 2.46

0.8

d

LEFT SIDE VIEW

L

0.8

5d

Ø d

d

FRONT VIEW

0.5d

0.12d

Ø 1

.5 d

Fig 2.47

FRONT VIEW

1.5d

0.2d

0.8

d

0.2

5d

0.85d

Ø d

TOP VIEW

d 20

0.2d

0.85d

04

17

0.25d

0.8d

05

16

1.5d 30

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78 ENGINEERING GRAPHICS

MACHINE DRAWING

Example 21:

Solution:

Example 22:

Sketch freehand the front view and top view of a 90° flat counter sunk machine

screw of size M2O, keeping its axis vertical. Give standard dimensions.

Refer Fig 2.48

Fig 2.48

Sketch freehand the front view and top view of a socket head machine screw of

size M10, keeping its axis perpendicular to H.P. Give standard dimensions.

d 20

0.2d 4

0.25d 5

d/8 2.5

0.85d 17

1.8d 36

d 10

0.8d 8

0.85d 8.5

1.5d 15

0.12d 1.2

0.5d 5

SOCKET HEAD

MACHINE SCREWFig 2.49

TOP VIEW

0.85d

1.8d

45°

0.2

5d

0.2d

Ø d

FRONT VIEW

90° FLAT CSK SCREW

0.85d

Ø d

0.8d

TOP VIEW

0.85d

FRONT VIEW

0.1

2d

0.5

d

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ENGINEERING GRAPHICS 79

MACHINE DRAWING

Exercises

NOTE: Assume missing dimensions proportionately

1. Sketch freehand the Front view and Side view of a round head screw of size M10,

keeping its axis horizontal. Give standard dimensions.

2. Sketch freehand the Front view and Top view of cheese head machine screw of size

M10, keeping its axis vertical. Give standard dimensions.

3. Sketch freehand the Front view and Top view of a 90 degree flat counter sunk

machine screw of size M10, keeping its axis vertical. Give standard dimensions.

4. Sketch freehand the Front view and Side view of a hexagonal socket head machine

screw of size M2O, keeping its axis parallel to V.P and H.P. Give standard

dimensions.

5. Sketch freehand the Front view and Top view of a grub screw of size M10, keeping

its axis vertical. Give standard dimensions.

6. Sketch freehand the Front view and Top view of a grub screw of size M2O, keeping

its axis vertical. Give standard dimensions.

We already know that, a rivet is a small cylindrical piece of metal having a head, body and a tail.

While adjoining two parts, the tail is made into the form of head. The commonly used types of

rivet heads are shown in fig 2.50

2.14 RIVET HEADS

TYPES OF RIVETSFig 2.50

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80 ENGINEERING GRAPHICS

MACHINE DRAWING

Fig 2.51 shows views of some of the types of rivets given in our syllabus.

Fig 2.51

Sketch freehand the Front view and Top view of a snap head rivet of diameter

20mm, keeping its axis vertical. Give standard dimensions.

Refer Fig 2.52

Example 23:

Solution:

0.7

d

0.7

d

R=0.8d

Ød

FRONT VIEW

TOP VIEWTOP VIEW

SNAP HEAD PAN HEAD 60° CSK HEAD

FLAT HEAD

FRONT VIEW

Ød

Ød

Ø1.6d

0.5d

FRONT VIEW

Ød

Ø1.5d

0.2

5d

Ø2d

60°

FRONT VIEW

Ød

TOP VIEW

TOP VIEW

Ød

Ø1.6d

TOP VIEW

0.7

d

FRONT VIEW

R=0.8d

d 20

0.7d 14

0.8d

1.6d 32

16

SNAP HEAD RIVETFig 2.52

RIVET HEADS

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ENGINEERING GRAPHICS 81

MACHINE DRAWING

Example 24:

Solution:

EXERCISES

Sketch freehand the front view and top view of a pan head rivet of diameter

20mm, keeping its axis vertical. Give standard dimensions.

Refer Fig 2.53

Fig 2.53

Note: Assume missing dimensions proportionately

1. Sketch freehand the Front view and Top view of a snap head rivet of diameter

25mm, keeping its axis vertical. Give standard dimensions.

2. Sketch freehand the Front elevation and Plan of a pan head rivet of diameter

25mm, keeping its axis vertical. Give standard dimensions.

3. Sketch freehand the Front view and Top view of a 60° counter sunk flat head rivet

of diameter 20mm, keeping its axis vertical. Give standard dimensions.

4. Sketch freehand the Front view and Top view of a flat head rivet of diameter

20mm, keeping its axis vertical. Give standard dimensions.

Key is piece of metal which is used to fasten two parts together,

specially to join two circular parts together. For example,

pulleys, flywheels etc. are joined to the shaft by means of a key.

See fig 2.54. Key is also used to prevent the relative movement

between the shaft and the parts mounted on it. Whenever

required, it can be removed easily. So key is one of the

temporary fasteners. The groove cut on the shaft to

accommodate a key is called key seat and the corresponding

groove in the matting piece is called key way.

2.15 KEYS

Fig 2.54

PAN HEAD RIVET

KEY IN POSITION

0.7

d

TOP VIEW

FRONT VIEW

Ød

Ød

Ø1.6d

d 20

0.7d 14

1.6d 32

KEYSEAT KEY

KEYWAY

SHAFT

HUB

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82 ENGINEERING GRAPHICS

MACHINE DRAWING

2.15.1 TYPES OF SUNK KEYS

2.15.1.1 RECTANGULAR TAPER KEY

A sunk key is designated by its width x thickness x

length. (w x T x L) see fig 2.55

Sunk keys means, half of the thickness (0.5T)

(measured at the side not on centre line) k within the

key seat and the other half thickness (0.5T) is within

the keyway (see fig 2.57). There are different types

of sunk keys viz.

(i) rectangular taper key

(ii) woodruff key

(iii) double head feather key

Let us now learn how to draw the views of these sunk keys.

Rectangular sunk taper key is of rectangular cross section, with the thickness not uniform

throughout the length of the key. See fig 2.56

Fig 2.56

Drawing proportions for a rectangular taper key are as follows.

Let 'D' be the diameter of the shaft, then width of the key, W=D/4

Thickness of the key, T=D/6

Length=1.5D to 2D, Taper = 1 in 100

The taper key prevent relative rotational as well as axial movement between the two

mating piece. Generally, the upper surface of the key is tapered and hence the keyway is

also correspondingly tapered. The tapered end is hammered to remove the key from the

joint.

W L

T

Fig 2.55

TAPER 1 IN 100

FRONT VIEW

TW(i) RECTANGULAR TAPER KEY

L

TOP VIEW

VIEWS OF A RECTANGULAR TAPER KEY

SIDE VIEW

W L

T

RECTANGULAR SUNK KEY

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ENGINEERING GRAPHICS 83

MACHINE DRAWING

Example 24:

Solution

2.15.1.2 WOODRUFF KEY

Sketch free hand a rectangular taper key, in position, on a shaft of diameter

40mm, keeping the axis of the shaft parallel to V.P and H.P, showing upper half

sectional front elevation. Give standard dimensions.

Refer Fig 2.57

Fig 2.57

Woodruff key is a special sunk key. It looks like a segment of a circular disc. The key seat is

semi circular in shape but the keyway is rectangular. The keyway is smaller in size than the

key seat. The advantage of woodruff key is that it can be easily adjusted in the recess. It is

largely used in machine tools and automobile work.

40

D

10 6.7 60

1.5D 2D

80

W=D4

T=D6

1.5DTAPER 1 IN 100

2D

PARALLELTO AXIS

ØD

L

FRONT VIEW

0.5

TW

LEFT SIDE VIEW

WOODRUFF KEY

Fig 2.58

0.5

T

RECTANGULAR TAPER KEY IN POSITION

WOODRUFF KEY WITH KEY SLOT IN SHAFT

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84 ENGINEERING GRAPHICS

MACHINE DRAWING

Example 26:

Solution:

Example 27:

Solution:

Sketch freehand the Front view, Top view and Side view of a woodruff key, suitable

for a shaft of diameter 40mm. Give standard dimensions.

Refer Fig 2.59

Fig 2.59

Sketch freehand a woodruff-key in position, on a shaft of diameter 60mm, keeping

the axis of the shaft parallel to V.P and H.P. Give standard dimensions.

Refer Fig 2.60

0.25tt t

R=2t

TOP VIEW

FRONT VIEWR=2t

WOODRUFF KEY

SIDE VIEW

40

D

6.7 13.4 10

0.25tt =D6

R = 2t

Ød

R=2t

SECTIONAL SIDE VIEWFRONT VIEW

WOODRUFF KEY WITH SHAFT

0.2

5t

0.5

t

td 60

10t

0.25t

0.5t

2t 20

5

2.5

Fig 2.60

WOODRUFF KEY

0.2

5t

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ENGINEERING GRAPHICS 85

MACHINE DRAWING

2.15.1.3 DOUBLE HEADED FEATHER KEY WITH GIB HEAD

Example 28:

Solution:

Feather key is a kind of sunk parallel key.

In parallel key, the thickness remains

same throughout the length of the key. Fig

2.61 shows a feather key with gib head. A

double head feather key with gib head on

both ends grips the hub between its

heads.

Sketch freehand the front view, side view and plan of a double-head gib key for a

shaft of diameter 60mm. Give standard dimensions.

Refer Fig 2.62

Fig 2.61

FEATHER KEY

W

L

1.5t

1.7

5tt

45°

W

TOP VIEW

RIGHT SIDE VIEW FRONT VIEW

45°

L

1.7

5t

d 60

15

10

W

t

1.5t

1.75t 17.5

15

Fig 2.62

t

1.5t

DOUBLE HEADED GIB HEADED FEATHER KEY

DOUBLE HEADED GIB HEADED FEATHER KEY

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86 ENGINEERING GRAPHICS

MACHINE DRAWING

Example 29:

Solution:

Exercises:

Sketch freehand a double head gib key, in position on a shaft of diameter 60mm,

keeping the axis of the shaft parallel to V.P and H.P. Give standard dimensions.

Refer Fig 2.63

Fig 2.63

Note: Assume missing dimensions proportionately

1. Sketch freehand the Front view, Side view and Plan of a rectangular taper key for a

shaft of diameter 40mm. Give standard dimensions.

2. Sketch freehand the Front view, Side view and Plan of a woodruff key for a shaft of

60mm. diameter. Give standard dimensions.

3. Sketch freehand the Front view, Top view and Side view of a double head gib key

for a shaft of 40 mm. diameter. Give standard dimensions.

4. Sketch freehand a rectangular taper key in position, on a shaft of 60 mm diameter,

keeping the axis of the shaft parallel to V.P and H.P. Give standard dimensions.

5. Sketch freehand a woodruff key in position, on a shaft of diameter, 48 mm, keeping

the axis of the shaft parallel to V.P and H.P. Give standard dimensions.

6. Sketch freehand a double head gib key in position, for a shaft of 40 mm diameter,

keeping the axis of the shaft parallel to V.P and H.P. Give standard dimensions.

SHAFT

FRONT VIEW LEFT SIDE VIEW

1.5t

KEY

HUB

45°

1.7

5t

W

0.7

5t

d

w

t

0.5t 05

1.5t

1.75t 17.5

15

10

15

Ød

60

DOUBLE HEADED GIB HEADED FEATHER KEY IN POSITION

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87ENGINEERING GRAPHICS

All of you have seen a bicycle and most of you may know how to ride it. With the help of paddles

you may have driven it. It needs very little effort to run a bicycle. Do you know why a bicycle runs

so smoothly and easily? The reason is that friction is greatly reduced by using bearings in the

moving parts and you must have oiled/ greased these bearings from time to time.

In the industry also the bearings are used to help in smooth running of the shafts. As we all know

that the friction is a necessary evil. The friction generates heat and opposes the free movement

of the moving parts. We can not eliminate the friction together but we can reduce it to a large

extent by using some suitable lubricant.

The meaning of bearing as given in the Dictionary is a part of a machine which support another

part that turns round a wheel' or it can be defined as the support and guide for a rotating

,oscillating or sliding shaft, pivot or wheel' .

Bearings are used as a mechanical component to a certain part and this is done by utilizing the

small frictional force of the bearings, which makes them rotate easily, all the while with the force

and load acting against them.

There are two types of bearings according to the type of motion:

1. Plain bearings and 2. Anti-Friction bearings or Rolling Bearings

We will learn that plain bearings are such that they primarily support sliding, radial and

thrust loads and linear motions also.

1. Plain Journal Bearings: These support radial loads at right angles to the shaft axis.

2. Spherical Bearings: These are used where the loads are not aligned and are radial.

3. Thrust Bearings: These bearings support axial and radial loads.

4. Linear Bearings: These bearings only help in linear motion.

5. Pivot Bearings or Foot Step Bearings: These bearings are used where the thrust is only

axial.

CLASSIFICATION OF BEARINGS

Plain bearings may further be classified as:

CHAPTERCHAPTERCHAPTER 3BEARINGS

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88 ENGINEERING GRAPHICS

ANTI-FRICTION OR ROLLER BEARINGS

These bearings can be:

1. Needle Bearings.

2. Ball Bearings and

3. Roller Bearings.

The bearings mentioned above can be rearranged according to the loading conditions as:

1. Journal Bearings: In this bearing the bearing pressure is perpendicular to the axis of the

shaft.

2. Thrust Bearing or Collar Bearing: In this bearing the pressure is parallel to the axis of the

shaft.

3. Pivot Bearing: In this bearing the bearing pressure is parallel to the axis of the shaft and

the end of the shaft, rests on the bearing surface.

4. Linear Bearings

5. Spherical Bearings.

In this chapter, we shall learn more about the Journal Bearings, which forms the sleeve around the

shaft and supports a bearing at right angles to the axis of the bearing. The portion of the shaft in

the sleeve is called the journal. The journal bearings are used to support only the perpendicular

or radial load. i.e., the load acting perpendicular to the shaft axis.

JOURNAL BEARING

Fig: 3.1

The examples of Journal Bearings are:

1. Open Bearing.

2. Bushed Bearing.

BEARINGS

SHAFT

JOURNAL

BEARING

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89ENGINEERING GRAPHICS

3. Plummer Block or Pedestal Bearing.

4. Pivot Bearing or Foot Step Bearing.

In our syllabus the Assembly and Dis-assembly of the following Bearings are prescribed, so let us

learn more about these in detail:

It is a journal bearing in which a bush made of some soft material such as: brass, bronze or gun

metal is used. This bearing is useful for higher loads at medium speed. These brasses can be

changed with the new brasses when worn out. These brasses (bushes) are tightly fitted into a

bored hole in the body of the bearing. The inside of the bush is bored as a fit for the shaft. These

brasses (bushes) are prevented from rotating or sliding by the use of a grub-screw or a dowel-pin

inserted half inside the bush and half in the body of the bearing. The other method is the use of a

snug. In this bearing the base plate or sole is recessed up to 3 mm leaving a standing material all

around, known as padding which helps in the stability of the sole on the resting surface and also

reduces the machining area. A counter bore sunk hole is drilled at the top of the body to hold the

lubricant which facilitates to reduce the friction between the shaft and bush. Oval drilled holes

are provided in the sole plate to facilitate any misalignment or lateral adjustments of bolts while

fitting the bearing in position on base / floor. This bearing is generally placed only at or near the

ends of the shaft, because in this the shaft can be inserted end wise only. (See fig: 3.2)

BUSHED BEARING

BEARINGS

Fig: 3.2

o90

53

OIL HOLE

90

50

1020

10

R560

80

OIL HOLE FOR LUBRICATION

CAST IRONBODY

10

R 5

HOLE FOR FOUNDATION BOLT (2 OFF) 20X12

R25 4

0 BUSH

40R

3 60

A

BUSHED BEARING

15 30

R 5

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90 ENGINEERING GRAPHICS

Now let us solve some questions:

The isometric view of a Bushed Bearing is shown below (fig: 3.3) Draw the

following views to scale 1:1:-

a. Sectional front view, showing right half in section.

b. Side view as viewed from left.

c. Top view.

Print title and scale used. Give 8 important dimensions.

Question:

BEARINGS

Fig: 3.3

40

Ø 4

06

R 4

0

50

2020

10

10

(2 OFF)

20X16 HOLES

BUSHED BEARING

80

60

22

184

A

oOIL HOLE Ø4, C'SUNK 3, 45

3

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91ENGINEERING GRAPHICS

Question: The isometric view of a Bushed Bearing is shown below (Fig. 3.5). Draw the

following views to scale 1:1:-

a. Sectional front view, showing right half in section.

b. Top view,

Print title and scale used. Give 8 important dimensions.

BEARINGS

Fig: 3.4

10 1080

LH SIDE VIEW22

50

10

OIL HOLE Ø4, oCSK 3, 45

Ø 52

Ø 40

20

10184

3

R 40

FRONT VIEW RIGHT HALF IN SEC.

A

60

A

10

16

20

TOP VIEW

BUSHED BEARING

SCALE 1:1

Answer of Fig. 3.3

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92 ENGINEERING GRAPHICS

Fig: 3.5

Answer of fig. 3.5

BEARINGS

Fig: 3.6

200

55

20

90

OIL HOLE Ø8oCSK-3, 90

65

15

A

15

BOLT HOLE (2 OFF)20X12

70 BUSHR 30

45

35Ø 4

0

10

o90

8

OIL HOLE

R5

20

15

R 10

R 40o90

55

15200

15

Ø 60

Ø 40

TOP VIEW

100

06

Ø 8BOLT HOLES (2 OFF) 20x12

65

35

70

A

A

BUSHED BEARING

FRONT VIEW RIGHT HALF IN SECTION

R 5

10

10

BODY

PICTORIAL VIEW OF A BUSH BEARING (RIGHT HALF IN SECTION)

SCALE 1:1

R 10

R40

5

3

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93ENGINEERING GRAPHICS

Question: The figure given below shows the assembled front view and the side view of a

Bushed Bearing. Disassemble (fig:3.7) the body and the bush and draw the

following views to a scale 1:1, keeping the same position of both the body and the

bush, with respect to H.P. and V.P.

a. Front view of the body, showing right half in section and its top view.

b. Front view of the bush, showing left half in section and its top view. Print titles of

both and scale used. Draw the projection symbol. Give 8 important dimensions.

Note : Take: R4 Radius For All Fillets And Rounds

Fig: 3.7

Fig: 3.8

BEARINGS

10

4120180

25

15

Ø40Ø30BUSH

BODYØ60

BUSHED BEARINGFRONT VIEW

Ø5

1060

SIDE VIEW

Ø 20

Ø10

70

25

Ø40

Ø10

Ø5Ø60

Ø40

25

Ø30

16

FRONT VIEW SECTIONED AT BB

Ø5

70

B

120180

4 10

FRONT VIEW (SECTION AT AA)

OIL HOLE

BOLT HOLES

SCALE 1:1

A

25

60

70 20

ATOP VIEW

BTOP VIEW

BUSHED BEARING

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94 ENGINEERING GRAPHICS

OPEN BEARING

This bearing consists of a 'U' shaped cast iron body with the similar shaped collared brass, bronze

or gun metal bush. The sole is recessed for better stability on the surface. This bearing is used for

linear and zigzag shafts. The holes for the bolts in the sole plate are elongated towards the width.

This bearing is useful for shafts rotating at slow speeds. Now, let us understand the different parts

shown in the (fig : 3.9)

Fig 3.9

The figure given below (fig:3.10) shows the details of an 'Open bearing'. Assemble

these parts correctly and then draw its following views to scale1 :1 :

a. Front view, right half in section.

b. Top view.

c. Side view as viewed from left.

Write heading and scale used. Draw projection symbol. Give '6' important dimensions.

Question:

BEARINGS

OPEN BEARING

24

R 5

R 8

BODY

80

54

30

R6BUSH

HOLES FOR BOLT (2 OFF) 24x15

50

1568

15

6

6

2001444 8

42

28

15

A

8

9

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95ENGINEERING GRAPHICS

Answer of fig. (3.10)

BEARINGS

Fig: 3.10

Fig: 3.11

7842

R21

24

16

R6

2 HOLES FOR BOLTS24X16

R6R5

FRONT VIEW SIDE VIEW

6

BUSH (GM) 1 - OFF

DETAILS OF OPEN BEARING

FRONT VIEW

Ø60 60

192136 4

15

70

15

8 8

SIDE VIEW

48

R15R21

BODY (C.I.) 1 - OFF

8

TOP VIEWA

6

42

20

60

25

A

60

FRONT VIEW RIGHT HALF IN SECTION

136192

CRS

15

15

78 R6

R6

R15

R5

OPEN BEARING

8

6

SCALE 1:1

55

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96 ENGINEERING GRAPHICS

Question: The figure given below (fig 3.12) shows the assembly of an 'Open Bearing'.

Disassemble the parts and draw the following views to scale 1:1 :

(a) BODY

(i) Front view, left half in section.

(ii) Top view, without section.

(b) BUSH

(i) Front view, left half in section.

(ii) Side view, viewing from left.

Print titles of both and the scale used. Draw the projection symbol. Give '6' important

dimensions.

BEARINGS

fig 3.12

R-25

R-15

R5

150

78

200

75

15

FRONT VIEW RIGHT HALF IN SECTION

TOP VIEW

OPEN BUSH BEARING

6

60

R5

6

2 HOLES (25X20)

R-2

0

A

A

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97ENGINEERING GRAPHICS

PLUMMER BLOCK OR PEDESTAL BEARING

The Plummer Block is also known as Pedestal Bearing. This bearing is widely used in textile,

marine and some other industries. This bearing is useful for long shafts requiring Intermediate

supports; these bearings are preferred in place of ordinary bush bearings. It was named after its

inventor 'PLUMMER'. This bearing can be placed any where along the shaft length. It is used for

shafts rotating at high speed and needing frequent replacement of brasses (also known as steps)

due to the wear and tear of the brasses, which are made up of brass, phosphor- bronze or gun

metal having raised collars at two ends for the prevention of the brasses from sliding along the

axis, with the shaft. The shaft is made of mild steel. These brasses are made into two halves just

to facilitate the easy assembly and disassembly of brasses and shaft. A snug at the bottom, fitting

inside a corresponding hole in the body, prevents their rotation. The body is made up of cast iron

with rectangular sole plate having elongated holes for the adjustment. In two long holes square

mild steel bolts with hexagonal nuts and check nuts are used to tighten the cap and brasses. The

cap is made up of cast iron. The cap while resting on the upper brass fits inside the body with its

body cap at its sides "but does not sit on it". These brasses are made into two halves and are

prevented from rotating by the use of a snug in the middle of the brasses. A counter sunk hole is

provided in the top cap and brass to hold lubricant which is necessary for reducing the friction

between the shaft and the brasses, which are collared to avoid axial movement. Please examine

the given figure for understanding these details.

BEARINGS

fig 3.13

LEFT SIDE VIEW

606 6R 25

SECTIONAL FRONT VIEW

BODY

R5

R5 R5

R20

78

20

40

15

25

150

200

CRS

FRONT VIEW LEFT HALF IN SECTION

SECTION AT AA

60

20

A

A

TOP VIEW

BUSH

OPEN BEARING

R15

SCALE 1:1

Answer of fig 3.12

25

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98 ENGINEERING GRAPHICS

DETAILS OF PLUMMER BLOCK OR PEDESTAL BEARING.

Fig 3.14

Fig 3.15

BEARINGS

OIL HOLE LOCK NUT

NUT

CAP

BODY ORCASTING

BRASSES OR STEPS

SOLE OR BASE PLATE

PLUMMER BLOCK

WASHER

SNUG

MILD STEELSQ. BOLT

BOLT HOLE

SQ 27 12

SQ HEADED BOLT

R 40

Ø 3 OIL HOLE

UPPER BRASS (G.M.)

R 2566

10

10

LOCK NUT

HEXAGONAL NUT

WASHER (C.I.)

BASE BLOCK

Ø50

SHAFT (M.S)132 Ø16

LOWER BRASS (G.M.)

10

66

10

Ø 50

Ø 64

Ø 80

20

125

SQ 30

100 CRS

100R 32

125

22

65

6672

2 HOLES Ø 18

EXPLODED VIEW OF A PLUMMER BLOCK

R 75

R32

33

150

CAP

Ø 6X18OIL HOLE

100 CRS

66

20

22

3

72

R 50

Ø 18 (2 BOLT HOLES)

30

2 HOLES 16X24

NOTE : SNUG 6X12

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99ENGINEERING GRAPHICS

NOTE : As per our syllabus, we are going to only draw the front view of the Plummer Block.

The figure given below (fig : 3.16) shows the details of a Plummer Block. Assemble

the parts correctly and then draw to scale 1:1, the front view, right half in section.

Print title and scale used. Give '8' important dimensions.

Fig 3.16

Question:

BEARINGS

Ø20

Ø8

18

3

R2510

R40CAP

R30

60

100

Ø8

60

Ø6

Ø40

Ø50

Ø60

5

BRASSES (2-OFF)

PLUMMER BLOCK

M18

SQUARE HEADED BOLT AND HEXAGONAL NUT (2-OFF)

90

13

SQ 28

60

BASE OR BODY

R25

18

R 5

20

50

15

250

Ø15

SQ

30

Ø6x4

R30

20

100

Ø20

18

OIL HOLE

55

R 5

70

SNUG 6x4

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100 ENGINEERING GRAPHICS

Answer of fig. 3.16

FRONT VIEW (RIGHT HALF IN SECTION)

PLUMMER BLOCK (ASSEMBLY)

FIG: 3.17

BEARINGS

R 3

0R

20

3

Ø20

R 4

0

Ø8

M18

Ø15, 2 H

OLE

S

20

20

100

250

Ø6 x

430

10 3 18 50 20

R5

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101ENGINEERING GRAPHICS

Question: The figure given below (fig:3.18) shows a Pictorial view of a Plummer Block. Draw

the sectional front view showing left half in section. Print title, scale used and give

'8' important dimensions.

PLUMMER BLOCK

FIG: 3.18

Answer of (Fig: 3.18)

BEARINGS

105 CRS

OIL HOLE Ø6, 20DEEP, THEN Ø3

R 58

20

68

8

63

2

Ø50

R 3

8

Ø63

Ø16

Ø19 33

13

0

2 HOLES 22x16

22

SQ28

12

SQ30105

14

105

260

SNUG Ø610 LONG

LEFT HALF SEC. FRONT VIEW

PLUMMER BLOCKFig. 3.19

144

CAP63

R72

105 CRS

Ø6x20 deep

OIL HOLE BLOCK

2

16

10

Ø3

Ø50

R58

3

19

63

14

105SQ 30

22

88

12

130

20

M16

SQ 28

NUTS AND BOLTS (2 OFF)

6

105

130

22

SNUGØ6.10 LONG

63

R38

BRASSES

A

Ø63

SCALE 1:1

36

130

3

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102 ENGINEERING GRAPHICS

FOOTSTEP BEARING OR PIVOT BEARING

This bearing is used for supporting the lower end of the vertical shaft. This bearing is made up of a

cast iron body with a rectangular or square recessed sole to reduce machining area. Generally,

the sole is provided with four oval or elongated holes for the adjustment of the bearing. A Gun

Metal hollow bush having a collar at its top end is placed and is prevented from rotation by the use

of a grub screw or a snug just below the neck of the collar. This collar serves two purposes, one it

prevents the hollow round bush to go further down in the body of the bearing and secondly it

provides a round vessel at the neck of the round bush to hold lubricant. The bearing body and the

hollow bush are recessed so as to form fitting strips. A concave or convex hardened steel disc is

placed below this round hollow bush to support the shaft. This disc is also prevented from rotation

by the use of a snug or a pin which is half inserted in the body of the bearing and half in the disc but

away from the centre. The only draw back of this bearing is that there is no proper lubrication,

thus unequal wear and tear is there on the bottom round disc. Examine the details as shown

below.

FIG: 3.20

BEARINGS

LUBRICANT OIL POUREDHERE SHAFT

BUSH WITH BRASSCOLLAR

BODY OR (C.I.) BLOCK

CONVEX OR CONCAVE DISC

EMBOSSED HOLE

SOLE

SNUG

PIN OR SNUG

DETAILS OF A FOOTSTEP BEARING

SCALE 1:1

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103ENGINEERING GRAPHICS

EXPLODED VIEW OF A FOOT STEP OR PIVOT BEARING.

FIG. 3.21

BEARINGS

COLLARED BUSH OF BRASS OR GUN METAL

CAST IRON BODY

4 HOLES FOR FOUNDATION BOLTS

RECESSED SOLE

SNUG OR PIN

MILD STEEL SHAFT

MILD STEEL CONVEX OR CONCAVE DISC OR PAD

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104 ENGINEERING GRAPHICS

BEARINGS

20

Ø30

Ø94

14

Ø68

62

30

Ø15

Ø64 15

Ø5

7070

100 100

15

62

4

NOTE: As per our syllabus guide lines, we are supposed to draw the front view of the assembly of

Foot Step Bearing'.

The figure given below (fig: 3.22) shows the parts of a Foot Step Bearing. Assemble

these parts correctly and then draw the Front View, left half in section to a scale

full size. Print title and scale used. Give '8'important dimensions.

Question:5

15

FOOT STEP BEARING

Ø84

Ø 445 Ø56

BUSH1

0 1

5

Ø 44PAD

15

45

8

Ø5

15

12

5

Ø60

Ø64

Ø78

85 BASE 4

0

Ø5

15

1510

PIN

12

8Ø64

R5Ø 44

SHAFT

78

41

5

8

FIG. 3.22

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105ENGINEERING GRAPHICS

BEARINGS

51

515

40

15

15

10

Ø44

15

70

20070

FRONT VIEW (LEFT HALF IN SEC.)

FOOTSTEP BEARING

Answer of (Fig: 3.22) FRONT VIEW

Fig 3.23

SCALE 1:1

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106 ENGINEERING GRAPHICS

BEARINGS

Question: The figure given below (fig:3.24) shows the parts of a Foot Step Bearing. Assemble

the parts correctly and then draw the Front View, showing right half in section,

using the scale 1:1;

Print title and scale used. Give '8' important dimensions.

DETAILS OF A FOOT STEP BEARING

Ø85BUSH

Ø92

10

20

15 10

Ø87SNUG

45

Ø60

Ø5

12

Ø92

Ø106Ø60

SHAFT

Ø60

15

5

Ø5

20Ø5

PADØ3

PIN

16

1

Ø85

35

12515

Ø97Ø92

35

Ø120

15

90

90

125

Ø5

NOTE : TAKE R-4 RADIUS FOR ALL FILLETS AND ROUNDS

24

20180

Ø5

20

15

15

4

30 3

95

BASE

45

15 10

3

Fig 3.24

TOP VIEW

FRONT VIEW

4 HOLES Ø15x20

15

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107

BEARINGS

Fig 3.25

ENGINEERING GRAPHICS

Ø 8

5

Ø 9

2

Ø 9

7

Ø 8

7 20

12

180

250

4

312

15

45

10

15

Ø 1

20

Ø 1

06

Ø 6

0

FO

OT

ST

EP

BE

AR

ING

FR

ON

T V

IEW

RIG

HT

HA

LF

IN

SE

CT

ION

AN

SW

ER

OF

(F

IG : 3

.24)

SC

ALE

1:1

20

3

95

10

20

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All of you have seen a tractor and its trolley/ trailer. The trolley can be easily joined or removed

from the tractor as per the need. Have you ever noticed that how this trolley is joined or detached

from the tractor? This work is made so simple by a joint between the tractor and the trolley using

a pin or a cotter. A fork end is there at the back of the tractor and an eye end is there in front of the

trolley and a round rod is inserted in between these two to make the joint. In industry also

different cotter joints are used some of these we shall learn in the following paragraphs. First of

all we shall learn about the cotter.

Fig 4.1

A cotter is a flat rectangular cross section wedge-shaped piece or bar of mild steel block which is

uniform in thickness but tapering in width on one side in general. It is used to connect rigidly two

rods, whose axes are collinear and which transmit motion in the axial direction (tensile or

compressive forces) without rotation. The cotter is inserted perpendicular to the axes of the

shafts which are subjected to tensile forces. Cotter provides rigid joint support.

COTTER:

CHAPTER 4ROD JOINTS

108 ENGINEERING GRAPHICS

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ENGINEERING GRAPHICS 109

ROD JOINTS

DIMENSIONS OF A COTTER:

Let 'D' be the diameter of connecting rods.

Average dimension of the cotter (d) = 1.3D

Thickness of cotter (t) =0.3D

Length of cotter (l) = 3.5D to 4D.

Fig 4.2

These types of joints are simple in design and need very less application of tools. These are used

to connect the end of a rod of a shaft. The end of the bar has a hole in it and it is called a lug. The

shaft carries a hole. This shaft is locked in place by a smaller pin that passes through the side of

the lug and partly or completely through the shaft itself. This locking pin is named as a cotter,

which sometimes is also applied to the whole joint. The cotter joint is a temporary fastening,

which allows the assembly and disassembly of a unit without damaging the fastened elements of

connecting components. In this type of joint the parts are held together by frictional force.

The obvious example is of a bicycle where both pedal bars separately locked by a cotter pin, on

their common driving shaft having the sprocket to the wheel.

Steel is the most common material used for this application.

Typical applications of the cotter joint are fastening of piston rods and cross heads

in steam engines, yokes in rods, tool fixtures and for services of similar kinds etc.

Examples:

SHAFT

D

SIDE VIEW FRONT VIEW

TOP VIEW

COTTER

8

tTAPER 1:30 ON THIS SIDE

33

t

d

L

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ENGINEERING GRAPHICS110

ROD JOINTS

USE OF COTTER JOINT

USE OF TAPER IN COTTER JOINT:

The joint is useful in the following conditions:

(i) To connect a rod directly with a machine, so as to transmit a force to the machine

through the rod or vice- versa.

(ii) When it is desired to increase the length of the rod.

(iii) To connect two rods rigidly in the direction of their length.

The taper in the cotter is provided to take the advantage of wedging action (friction locking). The

taper also keeps the joint alive even after some wear in the joint has taken place as the gap

generated due to the wear automatically filled up by the self travel of the cotter. This travel is

assisted due to the taper given in the cotter. Taper helps in insertion into the position and

withdrawal and lateral adjustment of connected parts. The taper should not be too large causing

self removal of the cotter under the external load, but if the large taper is essential, in a case

when frequent disassembly is required, locking devices such as set screw/lock pin etc. become

necessary to secure the cotter in position against the slackening or removal of the cotter from its

position. Generally, the taper of 1: 30 is given and is decided on the basis of the angle of friction

between cotter and rods material. The taper angle should not be greater than the angle of

friction. The thickness of the cotter is generally kept equal to one fourth and one fifth of its width

in the centre. The width of the slot is made 3 to 5 mm bigger than the cotter. When the cotter fits

into the slot, the central portion of the cotter comes in contact with spigot and pushes it into the

socket. These forces on the contacting surfaces prestress the joint and provide the required force

for friction locking of the bearing surfaces. Finally, the edges of the cotter and the edges of the

slot are rounded.

In our syllabus the assembly and disassembly of cotter joints for circular and square rod are there.

We shall learn that there are three cotter joints for connecting the circular rods:

a. Sleeve and Cotter joint

b. Socket and Spigot joint and

c. Knuckle joint (only sectional front view is in our syllabus).

Also in our syllabus there is only one cotter joint for joining square or rectangular rods and

it is called:

d. Gib and cotter joint.

Now, let us learn more about the Sleeve and Cotter Joint

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ENGINEERING GRAPHICS 111

ROD JOINTS

SLEEVE AND COTTER JOINT:

Sleeve and cotter joint is used to connect two round rods or sometimes to connect two

pipes/tubes. The rods are forged and increased in diameter to some length just to compensate for

the loss of material, for making rectangular hole, accommodate the rectangular tapered cotter in

each rod. The ends of both the rods are chamfered to avoid burring and easy insertion in the

hollow steel sleeve (socket/cylinder/muff). Both the rods are of the same dimensions. A hollow

sleeve is passed over both the rods and has two rectangular holes for the insertion of cotter at

right angle to the axes of the rods. The cotters are automatically adjusted due to the extra margin

given for the clearance in the rod and the sleeve. The relative position of slots is such that the

driving in of the cotters tends to force the rods towards each other in socket or hollow sleeve.

When sleeve and rods are subjected to axial tensile force then the cotter is subjected to shearing

force, these joints are useful for light transmission of axial loads.

Fig 4.3

SLEEVE

COTTER

ROD B

ROD A

SLEEVE AND COTTER JOINT

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ENGINEERING GRAPHICS112

ROD JOINTS

Dimensions of a Sleeve and Cotter Joint in terms of diameter of the rods (d)

Fig 4.4

Figure given below (fig : 4.5) shows the parts of a Sleeve and Cotter Joint.

Assemble the parts correctly and then draw the following views to a scale 1 : 1

(a) Front view, upper half in section.

(b) Side view, viewing from the left.

Print title and scale used. Draw the projection symbol. Give '8' important dimensions.

Question:

3.3d

CLEARANCE X,Y AND Z=3mmTAPER 1:30

3.3d 3mm

Ø2.4d

Ø1.2dØ3

.5d

.3d

1.3dd d

X

Y

1.2

d

2.4

d

TAPER ON THIS SIDE

Z

Ød

H

110 110

Ø 2

5

42 SHAFT-A SHAFT-B 42

4

Ø25

8Ø35

Ø70

110

Ø35

32

8

37

5

835

100100

35

SLEEVE WITH COTTER SLOTS

SLEEVE AND COTTER JOINTS

NOTE : FIG. NOT TO SCALE.USE DIMENSIONS GIVEN FOR DRAWING SOLUTIONS.

COTTER (2-OFF)

SLEEVE AND COTTER JOINT

H

FRONT VIEWLEFT SIDE VIEW

Fig 4.5

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ENGINEERING GRAPHICS 113

ROD JOINTS

Solution of fig :

Question:

4.5

Fig: 4.6

The figure given below (fig: 4.7) shows the assembly of a Sleeve and Cotter Joint

Disassemble the following parts and draw the following views to a full size scale.

(a) F.E. of the sleeve and S.E. viewing from left.

(b) F.E. of Rod A and Rod B and S.E. viewing from left.

(c) F.E. of cotter in vertical position and the plan.

Print titles and scale used. Draw the projection of symbol. Give 8 important dimensions.

110

35 37

100 100110

Ø2

5

Ø3

5

110

Ø70

A

A

8

542

8

LEFT SIDE VIEW

32

SLEEVE AND COTTER JOINT

FRONT VIEW UPPER HALF IN SECTION (SECTION AT AA)

Fig 4.7

SCALE 1:1NOTE : ALL FILLETS AND ROUNDS : R4

SLEEVE AND COTTER JOINT ASSEMBLYFRONT VIEW FULL IN SECTION

3

32

R

50

32

3Ø 2

4

Ø24

Ø30

Ø66810

3028

90

4

90

2830

10 R

3

50

3

LEFT SIDE VIEW

A

A

TAPER 1:30

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ENGINEERING GRAPHICS114

ROD JOINTS

Answer of fig 4.7

Fig 4.8

Figure given below (fig: 4.9) shows the exploded drawing of a Sleeve and Cotter

Joint. Assemble the parts correctly and then draw the following views to scale 1:1

(a) Front view full in section.

(b) Side view, viewing from the left.

Print title and scale used. Draw the projection symbol. Give '8' important dimensions.

Question:

ROD-AFRONT VIEW

100ROD-B

Ø30

L.SIDE VIEW

Ø24

A

Ø30

32

8

100

B

Ø66

Ø30

8

37

A

Ø24

Ø66

Ø30

3090

28

COTTER

FR

ON

T V

IEW

TOP VIEW

C

8

SLEEVE AND COTTER JOINT

Fig 4.9

40 100

3

8 2

100

40

Ø30

8 32

50

28 50

C

Ø24

Ø24

Ø30

30

3B

Ø66

8

3

30

Ø30

90

F

'B' IS A SLEEVE WITH SLOTS FOR COTTEREACH SLOT INCLUDES CLEARANCE=3mm.

C-COTTER

TWO SHAFTS WITH SLOTS FOR COTTERS

COTTER

10037

9030

3

90

SLEEVE WITH COTTER HOLES

35

32

A

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ENGINEERING GRAPHICS 115

ROD JOINTS

Answer of fig. 4.9

Fig 4.10

Socket and Spigot Cotter Joint is

connecting two rods in such a way

that it can transfer axial

compression or tensile load. In

this case one end of the first rod is

enlarged in diameter to some

length, just to compensate the

loss of material due to rectangular

hole made in it to accommodate a

cotter. A collar is provided at the

end of the enlarged end of the

spigot. The one end of the second

rod is formed into a socket or box

having an appropriate inner

diameter to fit the spigot along

with a collar, for a very simple

construction socket can be considered as a hollow pipe having one side solid and the other hollow,

while the spigot is a solid rod, the solid spigot is nearly of the size of the internal radii of the

socket, where it can fit. Once they are fit, consider that a rectangular cavity of tapering

construction through both the parts, i.e., spigot and socket. This cavity or slot is kept slightly out

SOCKET AND SPIGOT JOINT

FRONT VIEW

332R

50

3 32

33Ø 2

4

Ø2

4

Ø30

Ø668

402890

4

902840

10R

A

FRONT VIEW FULL IN SECTION LEFT SIDE VIEW

ROD-A

SOCKET

COTTER

COLLAR-A

COLLAR-B

SPIGOT

ROD-B

SOCKET AND SPIGOT JOINTFig 4.11

50

10

SCALE 1:1

SLEEVE AND COTTER JOINT FULL IN SECTION

ATAPER 1:30

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ENGINEERING GRAPHICS116

ROD JOINTS

of alignment so that driving in of the cotter tends to pull the slots in a line, thus making the joint

perfectly tight and rigid. A clearance of 2 to 3 mm is made in these joints for the proper

functioning of the cotter.

Fig 4.12

Ø1.5

2.5

d

Ø d

1.3d

3 mm gap

1 2

3

Ø1.2

d

Ø1.7

5d

Ø d

Z Y

0.4d

X

G

0.3d

SECTION AT GG3.3d-6mm

3.5

d T

O 4

d

PARALLEL

FRONT VIEW LEFT SIDE VIEW

CLEARANCE X,Y AND Z=3mm

TAPER 1:30

TOP VIEW

SOCKET AND SPIGOT JOINT

G d

RR

TAPER

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ENGINEERING GRAPHICS 117

ROD JOINTS

Question: The details of a socket and spigot joint are shown in fig 4.13. Assemble these parts

correctly and then draw its following views to scale full size.

(a) Front view upper half in section.

(b) Side view, as viewed from right.

Print heading and scale used. Draw projection symbol. Give six important dimensions

70

SPIGOT (1-OFF)

183418

8

84

31 TAPER 1:30

COTTER (1-OFF)

DETAILS OF A SOCKET AND SPIGOT COTTER JOINT

12

3

Ø24

Ø36

Ø29

Fig 4.13

Ø29

31

73

3

21

Ø24

Ø42

12

24

SOCKET (1-OFF)

FRONT VIEW FRONT VIEW

FRONT VIEW

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ENGINEERING GRAPHICS118

ROD JOINTS

Answer of fig. 4.13

Fig 4.14

7

A8573

1224

21Ø

36

Ø 2

4

Ø 2

9

3 31 3 318 Ø 2

4

Ø 4

2

TAPER 1:30

Ø 60

RIGHT SIDE VIEW

SOCKET AND SPIGOT JOINT

FRONT VIEW UPPER HALF IN SECTION

SCALE 1:1

A

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ENGINEERING GRAPHICS 119

ROD JOINTS

Exercise: The three views of a Sleeve and Cotter Joint are given. Disassemble the parts as

given below and draw the following views :

(a) SPIGOT

(i) Front view. (ii) Side view from right

(b) SOCKET

(i) Front view (ii) Right side view.

Print headings and scale used. Draw projection symbol. Give 8 important dimensions

SLEEVE AND COTTER JOINTFig 4.15

Ø 2

5

35

1225

18

3

10

30

34

3312

18

3

TAPER 1:30

Ø 4

0

10

10

Ø 6

0

Ø 2

5

FRONT VIEW

RIGHT SIDE VIEW

90

TOP VIEW

A

A

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ENGINEERING GRAPHICS120

ROD JOINTS

Exercise: The pictorial views of a Socket and Spigot Joint are given .Disassemble the parts as

given below and draw the following views. Refer Fig. 4.16

(a) SPIGOT

(i) Front view lower half in section (ii) Side view from left

(b) SOCKET

(i) Front view upper half in section (ii) Left side view.

(c) COTTER

(i) Front View (ii) Top View

Print headings of the above and scale used. Draw projection symbol. Give 8 important

dimensions.

SPIGOT AND SOCKET JOINT FIG : 4.16

TAKE ALL FILLETS ANDROUNDS, R3

12

25

94 88

18SOCKET END

ROD-2

Ø 2

4R24

R15

3

6

3

R2

8

R22

140

R12

Ø24

ROD-1

COLLAR

VERTICAL SIDE

SPIGOT END

30CLEARANCE

TAPER ON THIS SIDE ONLY

COTTER

A19

5

82

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ENGINEERING GRAPHICS 121

ROD JOINTS

KNUCKLE JOINT OR PIN JOINT

A knuckle joint is generally used to connect rods not positioned in a straight line and subjected to

axial tensile load. This joint is not rigid. Sometimes, if it is required to be used to support

compressive loading, a guide may be provided to constrain the motion of two fastened

components (rods). In this joint the end of one rod is forged to form an eye while the other is made

in the form of a fork having double eyes and this is called as eye end and fork end respectively. Eye

end is inserted in fork end and a cylindrical pin is inserted through common holes in them. The

cylindrical pin is kept in position by a round collar through which a transverse taper pin is

inserted. The rods are quite free to rotate about the cylindrical pin. The end of the rods is made

rectangular to some distance for firm grip and then these are made into a hexagonal or octagonal

in shape (for an easy adjustment with the help of a spanner or a wrench), before it is forged into

eye and fork shapes. This type of joint is widely used in practice to connect rods, which, for

various reasons, cannot be fitted with a rigid joint. It is commonly used when a reciprocating

motion is to be converted into a rotary motion or vice-versa. This joint is used for connecting D-

slide valve, and eccentric rod of a steam engine, air brake of locomotives and many kinds of levers

and rod connections, tie bars of trusses, links of suspension chains and many other links. The

knuckle joint is also used for fastening more than two rods intersecting at a single points.

PIN 1 IN 30TAPER

Ø40

14

FORK END

COLLAR

Ø25

105

R15

1235

30

20

30

20

Ø50

90

Ø40

14

KUNCKLE PIN

EYE END

80

36

Ø50

30

30

CIRCULARPIN

KNUCKLE - JOINTASSEMBLY

EYE END

TAPER PIN

COLLARFORK END

Fig: 4.17

KNUCKLE JOINT OR PIN JOINT PARTS

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ENGINEERING GRAPHICS122

ROD JOINTS

Dimensions of a Knuckle Joint or Pin Joint in terms of the diameter(d) of the rods to be

connected.

Fig: 4.18

Fig: 4.19

OCTAGONAL

R=1.2d+0.75d

R=0.75d

0.7

5d

Ødd14

.4d

0.7

1.2

d0

.7d

Ød

1.5d

0.4

d

4d

Ø1.5d

1.2d

R=1.2d

5d

R=0.6d

1.5d

KNUCKLE JOINT

Ø1

.2d

Ød

Ø1.2d

EYE END

SECTIONAL ASSEMBLY OF A KNUCKLE JOINT

PIN

EYE END

COLLAR TAPER PIN

FORK END

R = 0.75d

0.7

5d

R=d+0.75d

Ø1.5d

TAPER PIN DIA =0.25d

Ø2d

ROUND ROD-AROUND ROD-B

FORK END

COLLAR

TAPER PIN

PIN

SCALE 1:1

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ENGINEERING GRAPHICS 123

ROD JOINTS

Question: fig 4.19(a) shows the parts of a KUNCKLE JOINT. Assemble the parts correctly and

then draw the front view, showing upper half in section using the scale 1:1

Print title and scale used. Give 6 important dimensions.

12

Ø 4

0Ø 24

FR

ON

T V

IEW

FO

RK

EN

D

35

R 3

3

SQ 30R

15

Ø6

0

35

18 30 18

TA

PE

R P

IN 4

4 L

ON

6 x

Ø4

CO

LL

AR14

Ø4

0

Ø2

4

Ø2

4

82

PIN

35

30

90

30

FR

ON

T V

IEW

12

0

TO

P V

IEW

EY

E E

ND

KN

UC

KL

E J

OIN

TFig

: 4.1

9(a

)

Ø2

4

SQ 30

Ø24

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ENGINEERING GRAPHICS124

ROD JOINTS

Answer of fig 4.19 (a)

Ø24

35

R 3

3

R 1

5

Ø2

4

14

18

90

SQ30

18

12

Ø4

0

5

KN

UC

KL

E J

OIN

T

12

0

35

SQ30

Fig

: 4.2

0

SC

ALE

1:1

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ENGINEERING GRAPHICS 125

ROD JOINTS

Question: The figure 4.21 shows the parts of a Knuckle joint. Assemble these parts correctly

and then draw the Front view, bottom half in section, to a scale full size.

Print title and scale used. Give six important dimensions.

KN

UC

KL

E-J

OIN

T

Ø4

0TA

PE

R P

IN

CO

LL

AR

30

)2615

10

Ø315

KN

UC

KL

E P

IN Ø20 R

14

R 2

5

R14

FO

RK

EN

D R

OD

Ø30

10

Ø20

76

10Ø4

Ø40

70

Ø2

0

EY

E E

ND

RO

D

OC

TA

GO

NA

L E

ND

36

Ø20

SQ25 R14

Ø20

35

36

SQ25SQ25

36

60

Ø 20 Ø 20

Fig

: 4.2

1

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ENGINEERING GRAPHICS126

ROD JOINTS

Answer of fig 4.21

SQ 25

Ø 20

35

R30

R25

R13

10

Ø3

Ø 4

0

Ø 3

5

76

35

Ø30

10

70

35

Ø 20

SQ 25

Ø 2

0

HE

LP

ING

VIE

W

FR

ON

T V

IEW

(LO

WE

R H

ALF

IN

SE

CT

ION

)

SC

AL

E 1

:1

KN

UC

KL

E J

OIN

TFig

: 4.2

2

Ø4

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ENGINEERING GRAPHICS 127

ROD JOINTS

Exercises: The three views of a Knuckle Joint are given in (fig.4.23). Disassemble and draw

the parts as given below.

(a) FORK END

(i) Front view upper half in section

(b) EYE END

(i) Front view lower half in section

(c) CIRCULAR PIN

(i) FRONT VIEW

Print headings of the above views and scale used. Draw projection symbol. Give six

important dimensions

Fig 4.23

18

12

8

28

18

12

Ø 38

Ø 32

15

R15

R 30

28

R12

44

Ø2

5

Ø 38

Ø 25

R12

100

Ø 6

130

SCALE 1:1

Ø2

5

44

FRONT VIEW FULL IN SECTION

TOP VIEW

Ø 3

ASSEMBLY OF KNUCKLE JOINT

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ENGINEERING GRAPHICS128

ROD JOINTS

GIB AND COTTER JOINT

This joint is used to join two rods of square or rectangular in cross section. The end of one rod is

forged in the from of a fork or strap. The height of the other rod is increased for compensating the

loss of material in making the slot for cotter. The Gib is made up of mild steel and has the same

thickness as that of the cotter. the Gib has projections at the top and bottom ends which act like

hooks. While connecting two rods the Gib is inserted first and pushed towards the end of the fork

and then the cotter is hammered over. The tapering sides of the Gib and the cotter mate with

each other, while their outer sides are parallel to each and perpendicular to the common axis of

the rods. Hence, when a Gib is used with a cotter, the opposite faces of the slots in the rods are

parallel to each other. The Gib acts like a counter part of the socket/strap. The Gib increases the

tearing area of the cotter and prevents slackening of the joint besides holding the jaws of the

strap or fork from opening wide when the cotter is inserted. The use of Gib and Cotter enables the

parallel holes to be used. When Gib is used the taper is provided in the Gib. This joint is useful to

fasten connecting rod of a steam engine or marine engine.

Fig. 4.25

COTTER

FORK

SECTIONAL VIEW OF GIB AND COTTER JOINT

ROD END

TAPER ONTHIS SIDE

COTTER

RECTANGULARSLOT

GIB

Fig. 4.24

FORK END

GIB

FORK END

EYE END

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ENGINEERING GRAPHICS 129

ROD JOINTS

Dimensions of a Gib and Cotter Joint in terms of the side (s) of the rods to be connected.

Fig. 4.26

The figure 4.27 shows the exploded pictorial View of a Gib and Cotter Joint.

Assemble these parts correctly and then draw the following views to scale 1:1.

(a) Front View, full in section

(b) Right side view

(c) Top view.

Print title and scale used. Give six important dimensions.

Question:

FRONT VIEW FULL IN SECTION

GIB AND COTTER JOINT FOR SQUARE RODS

0.3

6B

SQ

S

B/4

Z

L M

EYE ENDGIB

A B

COTTER

C D

X

2S

SQ

S

A=C=D=0.75SB=1.3SL=0.55BM=0.45B

H

L=

3.5

S

SQ

S

0.3S

Y = 3mm

CLEARANCE X,Y AND Z = 3mmTAPER 1:20

Fig : 4.27

FORK END

H

LEFT SIDE VIEW

TOP VIEW

A

B30

35

10

112

SQ30

R5

20

10

10

35

27

30F

R5

SQ30

50

C

53

20 12

53

50

10

76

10

TAPER ON THIS SIDE

10

DETAILS OF GIB AND COTTER JOINT

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ENGINEERING GRAPHICS130

ROD JOINTS

Answer: of fig (4.27)

Fig. 4.28

The figure 4.29 shows the detail drawings of different parts of a Gib and Cotter

Joint for joining two square rods. Assemble all the parts correctly and draw the

following views to scale 1:1

(a) Front view, upper half in section.

(b) Side view, viewing from the left hand side.

(c) Print title, scale used and draw the projection symbol. Give '6' important

dimensions.

Question:

10

30

TOP VIEW

RIGHT SIDE VIEW FRONT VIEW FULL IN SECTION

20 30

112

53

Taper

10

53

3

1220

10

76

10

B

C 30 X

10

SQ

30

A. 3X

ASSEMBLY OF A GIB AND COTTER JOINT

SCALE 1:1

A

A

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ENGINEERING GRAPHICS 131

ROD JOINTS

DETAILS OF A GIB AND COTTER JOINT

FIG: 4.29

SQ

40

SQ

40

3855

FRONT VIEW

EYE END

10

TOP VIEWSQ. ROD

42 55 35

162

R10

SQ

40

FORK ENDFRONT VIEW

13

40

13

SQ

40

FORK TOP VIEW

TOP VIEW OF COTTER

10

TOP VIEW OF GIB

12

96

66 26

COTTER

GIB

15

0

32

FRONT VIEW

26

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ENGINEERING GRAPHICS132

ROD JOINTS

Answer of fig 4.29

FIG

: 4.3

0

32

12

15

26

26

R10

SQ40

66

TA

PE

R 1

:30

HA

LF

SE

CT

ION

AL F

RO

NT

VIE

W

40

A

10

LE

FT

SID

E V

IEW

3

3

SQ40

SC

ALE

1:1

A

AS

SE

MB

LY

OF

A G

IB A

ND

CO

TT

ER

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ENGINEERING GRAPHICS 133

ROD JOINTS

Exercise: The two views of a Gib and Cotter Joint are given. Disassemble the parts as give

below: Fig : 4.31

(a) FORK END

(i) Front view upper half in section and top view without section.

(b) EYE END

(i) Front lower half in section and top view.

(c) GIB

(i) Front view and top view

(d) COTTER

(i) Front and top view.

Print headings of the above views and scale used. Draw projection symbol. Give six

important dimensions.

28

14 3

3 22 22 41

12

SQ

40

12

100

152

SQ

40

GIB AND COTTER JOINT Fig 4.31

12

FRONT VIEW UPPER HALF IN SECTION

TOP VIEW

TAPER 1:30

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ENGINEERING GRAPHICS134

ROD JOINTS

Exercises

Q.1. What is cotter?

Q.2. What are dimensions of a cotter in terms of the diameter of the shafts to be joined?

Q.3. Why clearance is necessary in a cotter joint?

Q.4. What do you understand by the self locking of the cotter?

Q.5. Why a Gib is used along with a cotter in a Gib and cotter joint?

Q.6. Where knuckle joint is used?

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ENGINEERING GRAPHICS 135

Machines use various parts which are joined in several ways for the machine to function as whole.

We have learnt about some devices like fasteners (temporary & permanent) and some simple

joints to join two rods in the previous chapters. Let us now learn some more miscellaneous joints

which are commonly used, viz.

(a) TIE-ROD JOINT/TURNBUCKLE

(b) FLANGED PIPE JOINT

In our day to day life, we may come across rods/machine parts which are subjected to push and

pull and this joints need to be tightened or loosened as in the case of wires of electric poles,

cables, a sailboat's standing, rigging wires or even in boxing rings.

5.1 TIE-ROD JOINT

CHAPTERCHAPTER 5TIE-ROD AND PIPE JOINTS

(a) In cables/ guy wires (c) In boxing rings

USE OF TURNBUCKLE Fig.5.1

(b) In electric poles.

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ENGINEERING GRAPHICS136

TIE-ROD AND PIPE JOINTS

In such cases, an adjustable joint known as 'turnbuckle' is used. It serves as a joining device

between the ropes and the posts or rods.

COMMERCIAL TYPE TURNBUCKLE.

Fig 5.2

The 'turnbuckle' consists of an elongated metal tube (body) which is cylindrical in shape

and has tapered ends. Its central portion has a slot to aid tightening and loosening of rods

by tomy bar. Each tapered end of the body has threaded holes with opposite internal

screw threads, i.e. Right hand (RH) threads at one end and left-hand (LH) threads at the

other, as shown in Fig 5.3 (a)

5.1.1 FEATURES:

DETAILS OF A TURNBUCKLE Fig 5.3

Central Slot

LH InternalScrew Threads

RH InternalScrew Threads

Tapered End(a) Body

LH

RH

(c) Right - hand Threaded Rod(b) Left - hand Threaded Rod

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ENGINEERING GRAPHICS 137

TIE-ROD AND PIPE JOINTS

(We have discussed about the conventional representation of screw threads (RH & LH) in the

previous chapter, refer section 3).

Even the two rods / ring bolts have threads of opposite hand, which are screwed in and out of the

body simultaneously to adjust the pull/ push (tension) or length, without twisting the wires or

attached cables.

ASSEMBLY OF A TURNBUCKLE (PICTORIAL VIEW)

Fig 5.4

Now, let us understand their orthographic views, with the help of an example and move on

to assembly of different parts of the `Turnbuckle' and then drawing of the required

sectional views.

The fig 5.5 shows details of the parts of a Turnbuckle. Assemble these parts

correctly and then draw its following views to scale 1:1, inserting 50mm

threaded portion of each rod inside the body of Turnbuckle.

(a) Front view, upper half in section.

(b) Top view.

(c) Side view as viewed from left.

Write heading and scale used. Draw projection symbol. Give important

dimensions.

5.1.2 Orthographic views

Example 1

ROD END (RH)

ROD END (LH)

SOCKET / BODY

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ENGINEERING GRAPHICS138

TIE-ROD AND PIPE JOINTS

Fig 5.5

The above fig 5.5 shows orthographic views of different parts of a Turnbuckle".

Let us assemble them correctly to obtain/ draw the required views.

The internal diameter of threaded holes of the body and diameter of the rods are

same, so the LH (Left-hand) Threaded rod will be fitted from the left- side of the

body and similarly the RH Threaded rod from the right side.

(1) Only 50mm of the threaded portion of the rods will be inside the turnbuckle, the

remaining 30mm portion will be shown outside the body as can be seen in the

Fig. 5.6 below.

Solutions:

Point to remember :

150Ø

25

20 10

Ø 2

5

10 20

22

14

14

32

SEC. SIDE VIEW

Ø50

M 12

SEC. FRONT VIEW

M 12X2 LH

80

FRONT VIEW

M 12X2 RH

80

FRONT VIEW

UPPER HALF SECTIONAL FRONT VIEW

Ø 2

5

20 10

150

10 20

14

30

22

50 3050

M 12Ø 50

32

LEFT SIDE VIEW

M 12x2 LH M 12x2 RH

A

A

TOP VIEW

TURNBUCKLE SCALE 1:1

ASSEMBLY OF A TURNBUCKLE (ORTHOGRAPHIC VIEWS)

Fig 5.6

DETAILS OF A TURNBUCKLE

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ENGINEERING GRAPHICS 139

TIE-ROD AND PIPE JOINTS

(2) It can also be noticed that the width of the edges of the slots can be obtained

from the side view.

(3) In the sectional front view, the rods need not be locally sectioned as no intricate

inner details are present, as in the previous chapter.

Let us consider another example, and draw the orthographic views of the assembled

parts.

The fig 5.7 shows the details of the parts of a Turnbuckle. Assemble these parts

correctly, and then draw its following views to scale 1:1, inserting 60mm

threaded portion of each rod inside the body of the Turnbuckle.

(a) Front view, lower half in section.

(b) Side- view as viewed from the right.

Print title and scale used. Draw projection symbol. Give six important

dimensions.

Example 2:

DETAILS OF A TURNBUCKLEFig 5.7

80 80

Ø3

0

Ø3

0

2x45°

ROD-A LH THREADS ROD-B RH THREADS

Ø30

LH

TH

Ø4

0

Ø6

0

25 15 15 25180

TURNBUCKLE

Ø30

RH

TH

35

2x45°

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ENGINEERING GRAPHICS140

TIE-ROD AND PIPE JOINTS

Solution:

Exercise 5.1

In the fig 5.7 given, orthographic views of the parts of a Turnbuckle" are shown.

Let us assemble them correctly and obtain the orthographic views as shown

below in fig 5.8

ASSEMBLED ORTHOGRAPHIC VIEWS OF A TURNBUCKLE.

Fig 5.8

1. Figure 5.9 and 5.10 shows the disassembled views of the parts of a Turnbuckle.

Assemble the parts correctly, and then draw the following views to scale 1:1,

keeping the same position with respect to HP and VP:

(a) Half sectional elevation, upper half in section.

(b) Plan.

6080

25 15 2515

180

6080

Ø 30 LH THREADS Ø 30 RH THREADSØ60

FRONT VIEW (LOWER HALF IN SECTION)

25

30 15 3015120

45

TOP VIEW

Ø6

0

Ø 4

0

X

X

35

RH SIDE VIEW

Ø 3

0

Ø 4

0

SCALE 1:1

LEFT SIDE VIEW

FRONT VIEW UPPER HALF IN SECTION

Ø20 A

A

(a) TURNBUCKLEFig 5.9

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ENGINEERING GRAPHICS 141

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ORTHOGRAPIC VIEWS OF DETAILS OF A TURNBUCKLE Fig.5.10

Print the title and scale used. Give six important dimensions.

Those long hollow cylinders or 'pipes' are a regular feature, be it the pipes that bring water from

treatment plants to your home or the drainage pipes or even the roadside long gas pipe-line.

5.2 PIPE-JOINTS

125

Ø 20 LH

(b) ROD-A

125

Ø 20 RH

(c) ROD-B

LH SIDE VIEW

(a) A GAS PIPELINE

FRONT VIEW

FRONT VIEWRH SIDE VIEW

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ENGINEERING GRAPHICS142

TIE-ROD AND PIPE JOINTS

Fig 5.11

Since ages, we know pipes have been extensively used as carriers of fluids like water, oil, steam

gas, waste, for water supply systems, oil refineries, chemical plants, sewage piping system etc.

And these pipes may be made of different materials like cast-iron, steel, wrought iron, plastic or

concrete as per the requirement; but they "can't be made of a desired length" for a particular use,

due to constraints of manufacturing, transportation, storing and handling difficulties. So pipes of

standard length are taken and joined together, depending upon the material and purpose for

which it is used.

The most common among them is the 'Cast Iron Flange Joint' which we will discuss in detail.

As the name suggests, this type of joint is used for cast-iron (C.I.) pipes, which are usually

of large diameter not less then 50 mm and used mostly for low-pressure applications, such

as underground sewer pipes, water and gas lines and drainage in buildings. We can also see

this type of joint in the water outlet pipes installed in several schools as a fire safety

measure.

(a) Gas Production Plant (b) Water Pipe

Fig. 5.12

5.2.1 CAST-IRON FLANGE PIPE JOINT

(b) Discharge from a factory (c) Drinking from a water pipe

USES OF PIPES

SOME APPLICATIONS OF FLANGE JOINT

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ENGINEERING GRAPHICS 143

TIE-ROD AND PIPE JOINTS

5.2.1.1 FEATURES:

In this type of joint, both the hollow cylindrical pipes have a projected circular ring/

flared rim on their ends, which is known as 'flange', as shown in fig 5.13. It serves to hold

the pipe in place, give it strength and also attach to another flange. The flanges are made

thicker than the pipe-walls for strength. Greater strength may be required when pressure

is high; so the thickness of the pipe-walls is increased for short lengths in steps, as

indicated in the fig 5.13. We also know pipes carry liquids and gases and they need to be

tight and leak-proof. In order to do so, a mechanism similar to the one, we use in pressure

cookers is utilized i.e., here also we have a similar thin circular packing ring/gasket of soft

material, such as Indian rubber, canvas etc. coated with red lead. This is placed in

between the faces of the two flanges. For perfect alignment, these faces are machined at

right angle to the axes of the pipes. Then these flanges with the gasket in between are

connected together by means of nuts and bolts which are fitted through the holes in the

flanges. (The bolts and nuts may be square-headed or hexagonal-headed in shape.)

RUBBER GASKET

PACKING MATERIAL

(b) GASKET

THICK FLANGE WALLS

INCREASED THICKNESS OF WALLS IN STEPS

RIGHTFLANGE (C.I.)

(c) RIGHT FLANGED PIPE

4 HOLES (TO ACCOMODATE4 BOLTS & NUTS)

LEFTFLANGE(C.I.)

(a) LEFT FLANGED PIPE

(e) NUT

HEX, NUT (4 OFF)

SQ. HEADED BOLT (4-OFF)

(d) BOLT

DETAILS OF A FLANGE PIPE JOINT (HALF SECTIONAL PICTORIAL VIEW)Fig. 5.13

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ENGINEERING GRAPHICS144

TIE-ROD AND PIPE JOINTS

Thus, it can be seen that flange joints help in easy and fast disassembly to withstand

higher pressures.

ASSEMBLY OF CAST - IRON FLANGED JOINT

(HALF IN SECTION - PICTORIAL VIEW)

Fig. 5.14

Let us now understand the orthographic views of different parts of the Flanged Pipe Joint

and learn to assemble them correctly. And then draw the sectional view & other

orthographic views of the assembly.

Figure 5.15 shows the details of the parts of a Flanged Pipe Joint. Assemble these

parts correctly and then draw to scale 1:1, its following views:

(a) Front view, upper half in section.

(b) Side view, as viewed from left.

Write heading and scale used. Draw projection symbol. Give six important

dimensions

5.2.1.2 ORTHOGRAPHIC VIEWS

Example 1:

4 HEX. NUTS FASTENED WITH4 SQ. BOLTS

LEFT FLANGE (C.I.)

RIGHT FLANGE (C.I.)

GASKET (RUBBER)

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ENGINEERING GRAPHICS 145

TIE-ROD AND PIPE JOINTS

DETAILS OF A FLANGED PIPE JOINT

Fig 5.15

In the figure 5.15, the front view of all the parts of the Flanged Pipe Joint are

shown. Let us assemble these parts as learnt in the previous section.

1. As discussed earlier, the gasket is placed between the two flanges. (It can be

seen, the inner diameters of all the three parts i.e. the two flanges and the

gasket are same (Ø62) and all will be in a line.)

Solution:

(4) SQ HEADED BOLTM.S.– 4 OFF

Ø 6

2

Ø 9

0

12 20

R3(2) FLANGE C.I.- 1 0FF

Ø 6

2

Ø 7

4

Ø 8

0

R 20

20

42 8M 1

0

Ø 1

32

Ø 1

06

3

(3) GASKETINDIAN RUBBER - 1 OFF

20 12

R3(1) FLANGE C.I.- 1 0FF

Ø 6

2

Ø 7

4

Ø 8

0

Ø 1

32

Ø 1

06

10

(5) HEX. NUT M.S. - 4 OFF

4 HOLES Ø 12 ON 106P.C.D. AT EQUAL ANGLES

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ENGINEERING GRAPHICS146

TIE-ROD AND PIPE JOINTS

ASSEMBLY OF A FLANGED PIPE JOINTFig 5.16

2. Then, the four square (SQ) headed bolts are fitted in the holes as shown in the

flanges centrally; the distance between the axes of holes being Ø106 (PCD). (It

can be seen, the holes are of Ø12 and the bolts & nuts have diameter 10mm, so a

gap (clearance) of 1mm is present around and is shown in the top and bottom of

the shank of the bolt, placed in the holes, in the front view.) Refer Fig 5.16.

3. Since, sectional front view (upper half in section) is asked, so both the flanged

pipes are sectioned in opposite directions, as they are different machine parts.

The gasket, being a thin section, may be shown entirely black as per SP-46 :

(2003) BIS specifications (10.2.3). Notice the cross-section of the pipe (to

represent a hollow cylindrical section.)

4. In the side view, which is a complete view, all the bolts and nuts (bolt head in

hidden lines) are shown on the ring of diameter 106, i.e. PCD (pitch circle

diameter).

M 10 10 12 3 12

42 20

8

R3

R20Ø 132

Ø 74

A4 HOLES Ø 12

ON PCD = 106

Ø 90

Ø 80

Ø 62

A

LH SIDE VIEWTOP HALF SEC. FRONT VIEW

SCALE 1:1

(THREADED LENGTH = 20)

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ENGINEERING GRAPHICS 147

TIE-ROD AND PIPE JOINTS

Let us consider another example, to understand the assembled views correctly.

Fig 5.17 shows the details of a Flanged Pipe Joint. Assemble these parts

correctly, and then draw the following views to a scale full size:

(a) Front view, showing bottom half in section

(b) Side view as seen, from the right.

Print title and scale used. Draw the projection symbol. Give important

dimensions.

DETAILS OF A FLANGED PIPE JOINT

Fig. 5.17

Example 2

Ø 1

40

Ø 1

10

R 3

Ø 5

68

Ø 7

8

25

R 5

15

NUTS (4 OFF)

25

Ø 1

40

Ø 1

10

R 5 R 3

4 HOLES Ø 10

Ø 5

68

Ø 7

8

4 HOLES Ø 10

15

3

FLANGED PIPE JOINT

R12

M 86

22

52

BOLTS (4 OFF)

Ø 5

80

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ENGINEERING GRAPHICS148

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Solution:

Exercise 5.2

In the above given fig 5.17, the orthographic (front) views of different parts are

given. Let us assemble them properly and then draw the required views, as

shown in the fig 5.18

ASSEMBLY OF A FLANGED PIPE JOINTFig 5.18

Figure 5.19 shows the details of parts of the Flanged Pipe Joint. Assemble these

parts correctly and then draw the following views to full-size scale:

(a) Upper half sectional front view

(b) Left-hand side view.

Print title and the scale used. Draw the projection symbol. Give six important

dimensions.

Ø 110

Ø 140

Ø 68

X

X

DETAILS OF A FLANGED PIPE JOINTFig 5.19

Ø 7

8

R3R5

6 8

25 25 15 15 3

R12

6 2252

M8

RH SIDE VIEW FRONT VIEW (BOTTOM HALF IN SECTION) AT X-X

FLANGES (2-OFF)

Ø 1

26

Ø 1

20

Ø 1

00

Ø 20, 4 HOLES

35 20

Ø 1

70

PC

21

0

Ø 1

00

Ø 1

44

3

GASKET (1-OFF)

HEX. HEADED BOLT (4-OFF)

12 60

30M 16X2

NOTE : FILLETS AND ROUNDS R-3

HEX. NUT (4-OFF)

15

Ø 58

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ENGINEERING GRAPHICS 149

TIE-ROD AND PIPE JOINTS

WHAT HAVE WE LEARNT

1. Turnbuckle/Tie-rod Joint is an adjustable temporary joint, which connects the ends of

two rods axially when they are subjected to push/pull (tensile) forces.

2. It consists of:

(a) Body: A hollow cylinder with tapered ends having threaded holes & a central

slot.

(b) Left-hand (LH) threaded rod: The rod end as left-hand threads.

(c) RH-threaded rod: This rod end has opposite hand threads (i.e. right-hand screw

threads)

3. The threaded rod ends are screwed in or out of the body to tighten or loosen the joint or

adjust the length.

4. Turnbuckle is used in the guy ropes, wires of electric poles, rigging wires of ship, wrestling

rings etc.

5. 'Pipes' are used to transfer liquids or gas from one place to another, and are made of

various materials like cast iron, steel, copper, concrete, plastic etc.

6. Pipes are connected to each other in different ways; known as 'Pipe Joints' to increase the

length or to connect two different fittings.

7. Several type of pipe joints are available, which depend upon the material and type of

service.

8. 'Flange Pipe Joint' is used to connect large diameter pipes, especially cast-iron pipes.

9. It consists of:

(a) Flanged pipes: The pipes have integral flared rim at the ends (flange) and may

have thicker walls in steps for strength.

(b) Gasket: A circular thin ring of soft material, placed between the flanges to keep

the joint leak-proof.

(c) Nuts & bolts: Used to fasten the two flanges. May be hexagonal or square

headed.

10. The two cast iron pipes with integral flanges are connected together by means of bolts and

nuts, and the gasket/packing material in between the flanges, to keep it tight & leak-

proof.

11 Flange Pipe Joint can be seen in underground water system, gas lines, drainage systems

etc.

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ENGINEERING GRAPHICS150

Shafts as we have learnt in the previous chapters, mechanical/machine parts that are commonly

used to transmit power from one end of the machine/unit to another. But what, if these ends are

distance apart. Moreover the shafts are made of limited lengths for ease of transport arts, so in

such a case, we would connect the shafts to form a long transmission shaft, as we have done in

case of joints in the earler chapter.

Similarly Even in case of power transmission between different machine to unit, as seen, between

a motor and a generator or pump, the shafts need to be joined together a to transmit rotary

motion between shafts of same unit, as well as of different machines / unit. And to do so, we have

devices known as "couplings" which are used to "join two shafts".

(a) In an automobile (b) under a locomotive

(Connecting shafts of Different machines) (Connecting shafts of the same unit)

Fig. 6.1

Several types of couplings are available depending upon the type of transmission and relative

position of the shaft. In this book, we will be discussing only the widely used type i.e. Flange

Coupling.

SHAFT COUPLINGS

CHAPTER 6

SHAFT COUPLINGS

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ENGINEERING GRAPHICS

6.1 FLANGE COUPLINGS

This is a standard form of coupling and is extensively used. It can be seen in large power machines

and is used for heavy loads.

It is classified into two types depending upon its shape:

a. Unprotected Flange Coupling

b. Protected Flange Coupling.

(a) Unprotected (b) Protected

Fig 6.2

Let us study these type of Flange Couplings in detail.

As the name suggests, this type of coupling also has flanges (projected rim ) and resembles the

Flange Pipe Joint learnt in the previous chapter. Let us know more about its parts and see, why it

is called as 'unprotected'.

Fig 6.3

6.1.1 UNPROTECTED FLANGE COUPLING

DIFFERENT TYPES OF FLANGE COUPLINGS

THE UNPROTECTED FLANGE COUPLING CONNECTS

THE SHAFTS FROM A PUMP TO THAT OF A ENGINE

151

SHAFT COUPLINGS

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ENGINEERING GRAPHICS152

SHAFT COUPLINGS

6.1.1.1 Features:

The Unprotected Flange Coupling has two similar cast iron flanges, ( left & right ) with the

shape similar to the flanges in the 'flanged pipe joint'. But these flanges have keyways in

the hubs, so that the ends of the shafts to be connected can be keyed to the flanges with

separate rectangular sunk type keys. Even the shafts also have keyways, which are

assembled at right angles, so that the key of one shaft does not slide into the other. These

keys are usually driven from inside faces of the flanges for easy fitting.

Fig 6.4

Here also, the faces of the flanges are kept at right angles to the axis for proper alignment.

Now, to get the perfect alignment of shafts, one of the flanges may have a projected

circular extension on the outside and thus the other flange will, have a corresponding slot

/ recess. This gives the flanges a perfect fit and this kind of arrangement being similar to

the spigot and socket joint, is termed as 'spigot and socket centring'. There may also be

some clearance (gap) between this kind of fit, to adjust the shaft.

The faces of the two flanges are then held together with the help of bolts and nuts (4 or

more ). These may be square headed or hexagonal headed. The bolts should be an exact

fit, so that the power can be transmitted properly from one shaft and flange to another.

4 HOLES

4 holes to accomodate 4 Bolts & Nuts

KEY WAY (Shaft)

SHAFT (M.S.)

KEY (M.S.) (2-OFF)(Rectangular Sunk-Taper)

LEFT - FLANGE (C.I)

HEX. BOLT & NUT4-OFF

KEY WAY

(Flange)

RIGHT

FLANGE (C.I.)

KEY WAY (Shaft)

KEY WAY (Hub of Flange)

SHAFT (M.S.)

DETAILS OF AN UNPROTECTED FLANGE COUPLING

(HALF SEC. PICTORIAL VIEW)

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ENGINEERING GRAPHICS 153

SHAFT COUPLINGS

It can also be noticed, as shown in Fig. 6.5 that the bolt and nuts lie outside, (exposed) and

during rotation of shafts, as well as flanges, they are not visible to the workers, and thus

might hurt them or their clothes, may get entangled. Hence this flange coupling get the

name as Unprotected Flanges Coupling.

Fig 6.5

To avoid such mishaps, the shape of the flange is slightly modified, which will be discussed

further in the next type of flange coupling.

With the help of an example, let us learn to assemble the different parts of the

'Unprotected Flange Coupling' and draw the required orthographic views, including the

sectional view.

Fig 6.6 shows the details of an 'Unprotected Flange Coupling'. Assemble the details

and draw the following views of the assembly using scale full size.

a. Front view, top half in section.

b. Left side view.

Print title and scale used. Draw the projection symbol. Give important dimensions

In fig 6.6, the orthographic views of different parts are shown. Let us assemble

them as learnt and then draw the orthographic views.

6.1.1.2 Orthographic Views

Example 1:

Solution:

SHAFT 1

LEFT FLANGE(C.I.)

RIGHT FLANGE(C.I.)

SHAFT 2TAPER KEY(at right angles to the other key)

(Assembled)HEX. BOLT AND NUT

(4 OFF)

TAPER KEY(inside the keyway)

ASSEMBLY OF AN UNPROTECTED FLANGE COUPLING

(HALF IN SECTIONAL PICTORIAL VIEW)

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ENGINEERING GRAPHICS154

SHAFT COUPLINGS

(i) It can be seen flange is given as (2-OFF), i.e. two flanges of same dimensions.

Similarly, the shafts, keys and even bolts and nuts have same dimensions.

Fig 6.6

(ii) Also note, the two flanges are arranged in a socket and spigot arrangement with a

recess / extension of 2 mm.

(iii) Even the keys are rotated at right angles to each other. One is placed on top of the

shaft and the other near the axis, centrally. Also notice, the width of the keys

drawn in the front view vary as shown in fig 6.7.

(i) The keys may not be more than 3 mm beyond the bosses of the flanges and the

keyways need not extend more than 15 mm beyond the ends of the keys.

SIDE VIEW

6 2

Ø25

FRONT VIEW

SHAFT (2-OFF)

KEY (6x4) (2-OFF)

TAPER 1:100

A

Ø100

Ø6, 4 HOLES ON 75 PCD

LH SIDE VIEW FLANGE (2 OFF)

HALF SEC. FRONT VIEW

2

Ø25

Ø50

28

12

M6

6 4

Ø40

34

A

HEX. HEADED BOLT AND NUT (4 OFF)

DETAILS OF AN UNPROTECTED FLANGE COUPLING

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ENGINEERING GRAPHICS 155

SHAFT COUPLINGS

ASSEMBLED VIEW OF AN UNPROTECTED FLANGE COUPLING. Fig 6.7

Let us consider another example and draw the assembled views properly.

Fig 6.8 shows the parts of an Unprotected Flange Coupling ( having socket and

spigot arrangement). Assemble these parts correctly and then draw the following

views to a scale full size:

a. Front view, upper half in section

b. Side view, as seen from right.

Print title and scale used. Draw the projection symbol. Gives important

dimensions.

Example 2 :

A

4

A

Ø6 4 NUTSON 75 PCD

LH SIDE VIEW

6

FLANGE 'A'

SEC. FRONT VIEW

40 40

12 12

6 4

TAPER 1:100

SHAFT 'A' SHAFT 'B'

6Ø100

Ø75

Ø50

Ø25

FLANGE 'B'

SCALE 1:1

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ENGINEERING GRAPHICS156

SHAFT COUPLINGS

DETAILS OF AN UNPROTECTED FLANGE COUPLING. Fig 6.8

Similar to the previous example, we will assemble the various parts correctly and

then obtain the required orthographic views, including the sectional view as

shown in the below fig 6.9.

Solution:

40

25

Ø8

Ø50

Ø11

0

Ø30

5 Ø

30

Ø80

45

7.5

15 15

40 40

5

3

Ø4

0

8

HEX. NUTS (4-OFF)

KEYWAY 7.5X5

SHAFT-B

NOTE : R-3 is to be used for

All Fillets and Rounds

FLANGE - AHEX. BOLTS (4-OFF)

SHAFT - A

KEYS (2-OFF)

FLANGE - B

A

AØ110

5

Ø 80

SIDE VIEW

40 40

15 15

45

7.5

Ø 3

0

40

FRONT VIEW (upper half in section)

Scale 1:1

ASSEMBLED VIEWS OF AN UNPROTECTED FLANGE COUPLING Fig 6.9.

Ø8

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ENGINEERING GRAPHICS 157

SHAFT COUPLINGS

Exercise 6.1

6.1.2 Protected Flange Coupling

Fig 6.10 shows details of an unprotected Flange Coupling. This figure shows one view, each

of the part no. 1, 2 and 3 and two views of part no.4. Draw to a scale 1:1, the following

orthographic views.

a. Elevation, upper half in section

b. Right hand side view, without section.

Show the dimensions properly. Print title and scale used and draw the projection symbol.

DETAILS OF AN UNPROTECTED FLANGE COUPLING

Fig 6.10

We know, the pervious type of flange coupling (Unprotected) has a shortcoming which is

overcome in this type of Flange Coupling. To do so, we need to shield/cover the protruding

nuts or bolt heads. And this can be done by slightly altering the shape of the flanges. So the

flanges have a flared and flattened rim i.e. a projected outer ring (shroud) as shown in the

figure. This overhangs over the bolt heads and nuts and thus minimizes accidents and

ensures safety, Hence it is named as a 'Protected Flange Coupling'.

95

35 35

120120

Ø 1

70

Ø 9

0

Ø 2

40

Ø 3

10

Ø 9

0

Ø 2

0

WT

LW=25T=15 L=130 (2 OFF)

HEX. HEADED BOLT AND NUT M20X2.5 (4 OFF)

SHAFT (2 OFF)

FLANGE (2 OFF)

KEY

3

5

Ø 1

80

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ENGINEERING GRAPHICS158

SHAFT COUPLINGS

PROTECTED FLANGE COUPLING IN A DIESEL ENGINE Fig 6.11

This type of coupling may be sometimes used as belt pulley.

The 'protected' type Flange Coupling contains the same parts and is assembled in the same

way as an 'Unprotected type Flange Coupling'. The only difference lies in the shape of the

flange with its projected ring (shroud) as shown in fig.6.12.

6.1.2.1 Features

EXPLODED VIEW OF DETAILS OF A PROTECTED FLANGE COUPLING (HALF IN SECTION)

Fig 6.12

SHAFT-1 (M.S.)

4 HOLES

KEY WAY (Shaft)

KEY (M.S.) 2-OFF

HEX. BOLT & NUT (M.S.) 4-OFF

Shaft-2 (M.S.)

KEY WAY

KEY WAY

BOSS

SOCKET

SHROUDSPIGOT

RIGHTFLANGE (C.I.)

LEFT - FLANGEC.I

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ENGINEERING GRAPHICS 159

SHAFT COUPLINGS

ASSEMBLED PICTORIAL VIEW OF A PROTECTED PLANGE COUPLING (HALF IN SECTION)

Fig.6.13

Let us learn to assemble different parts of a 'Protected Flange Coupling' and draw the

respective orthographic views, with the help of an example:

fig 6.14 shows details of the parts of a 'protected typed flange coupling'. Assemble

the parts correctly and then draw the following views to scale full size:

a. Half sectional front view (upper half in section).

b. Side view, as seen from left.

c. Print title and scale used. Draw the projection symbol. Give dimensions.

6.1.2.2 Orthographic Views

Example 3:

LEFT FLANGE RIGHT

FLANGE

SHROUDSOCKET

BOLT AND NUT

SPIGOTSHAFT-2

TAPER KEY

SHAFT-1

DETAILS OF A PROTECTED FLANGE COUPLING Fig 6.14

Ø 1

89

Ø 7

5

Ø 4

8

Ø 9

3

Ø 1

38

79

38

21

7 5

15

4

Ø 4

8

Ø 9

3

Ø 1

89

79

38

21

5

KEYWAY12X8

Ø 1

38

3

FLANGE - A FLANGE - B

KEY- (2-OFF)12X8

HEX. BOLT AND NUT (4-OFF)

42

20

M1

5

Ø 7

5

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ENGINEERING GRAPHICS160

SHAFT COUPLINGS

Solution: Details of the Protected Flange Coupling are shown in Fig 6.14. Let us assemble

them properly and draw the required orthographic views.

1. Here also, it can be seen that the flanges have 'spigot and socket arrangement'.

2. The parts are assembled in the similar manner as we had done for the questions

based on 'Unprotected Flange Coupling'.

3. The only variation which can be seen here is that bolt and nut are not visible in the

lower half which is without section in the front view.

4. The side view also has an extra circular ring for the 'shrouded flanges.

ASSEMBLY OF A PROTECTED FLANGE COUPLING

Fig 6.15

38 38

21 21

15

5

4

75D

IA.

48

DIA

.

13

8 P

CD

93

DIA

.

18

9 D

IA.

158

FRONT VIEW (UPPER HALF IN SECTION)

8

12

LH SIDE VIEW

Scale 1:1

12

3

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ENGINEERING GRAPHICS 161

SHAFT COUPLINGS

Let us take another example, and draw the required assembled views.

Figure 6.16 shows details of the parts of a Protected Flange Coupling. Assemble

these parts correctly and draw the following views to scale full- size:

a. Elevation. Top - half in section

b. End view, as seen from right.

Print title, scale used. Draw the projection symbol. Give main dimension.

Example 4:

FLANGE - B

22

FLANGE - A

22

3

6

6

80

40 40

80

Ø 2

12

Ø 1

12

Ø 9

2

Ø 1

60

Ø 5

6

100KEY WAY (16X6)

Ø56

SHAFT (2-OFF)KEY (2-OFF)

90

12

16

TAPER 1:100

16 44

62

M16

HEX HEADED BOLT AND NUT(4-OFF)

DETAILS OF A PROTECTED FLANGE COUPLING Fig 6.16

Ø 9

2

KEY WAY (16X6)

4 HOLES (Ø16)

14

8

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ENGINEERING GRAPHICS162

SHAFT COUPLINGS

Solution: Let us assemble the different parts and draw required views in the similar manner

as done in the previous example.

A slight variation is seen in the spigot and socket arrangement. It can be seen that a

gap Clearance of 3 mm is present between them as shown in fig 6.17)

ASSEMBLY OF A PROTECTED FLANGE COUPLING

Fig 6.17

16

12

A

80 80

40 40

22 22

M16

8

Ø 5

6

PC

D

16

0

Ø

Ø 9

2Ø 1

12

3

SEC. FRONT VIEWRH SIDE VIEW

A

Scale 1:1

Ø 2

12

6

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ENGINEERING GRAPHICS 163

SHAFT COUPLINGS

Exercise 6.2

1. FIG 6.18 shows the details of the parts of a 'Protected Flange Coupling'. Assemble

them correctly and draw the following views to scale 1:1.

a. Half - sectional Front view, lower half in section

b. Left hand side view

Print the title and scale used. Draw the projection symbol. Give important dimensions

60

20

80

80

40

22

22

5

Ø 16

51

0

Ø 56

Ø 112

Ø 92

Ø 214

Ø 158

FL

AN

GE

-A (

1-

OF

F)

FL

AN

GE

B (

1-O

FF

)

SH

AF

T-A

(1

-OF

F)

BO

LT

S (

4-O

FF

)N

UT

S (

4-

OF

F)

SH

AF

T-B

(1

-OF

F)

KE

Y 1

5X

10

(2

-OF

F)

40

Ø 56

M 16

DE

TA

ILS

OF

A P

RO

TE

CT

ED

FLA

NG

E C

OU

PLIN

G

Fig

6.1

8

7

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ENGINEERING GRAPHICS164

SHAFT COUPLINGS

WHAT WE HAVE LEARNT

1. Coupling are devices used to join two shafts end to end. This may be done to increase the

length of the shaft or to connect shafts of different machines.

2. Flange Coupling is a type of shaft coupling which is widely used.

3. 'Flange Coupling' uses two 'Flanges' (one for each shaft), fixed with keys (sunk taper) and

joined with bolts and nuts (square or hexagonal).

4. There are two type of Flange Coupling

a. Protected

b. Unprotected.

5. 'Protected Flange Coupling' is Provided with an extended protruding ring in the flange to

cover the heads of bolts & nuts, to avoid any injury from them while rotating.

6. A step of 2-3 mm on one flange and groove in the other (Spigot and socket arrangement) is

also provided for good alignment.

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ENGINEERING GRAPHICS 165

7.1 INTRODUCTION

In every machine or toy, we use power to operate and perform its function. This power is obtained

mostly by the motor, run on electricity or battery. To transfer the power from the motor to the

operational part of the machine, we use a combination of pulleys and belt (flexible connector).

Pulleys are used in very small sizes to be fitted in wrist watches and tape recorders, as well as

quite big in size as in ships.

The pulley used, with the motor shaft is called driver and with machine shaft is called driven. The

size of driver and driven pulleys define the ratio of speed transferred as reduced or increased. If

both the driver and driven pulley are of same diameter then the speed of the shaft / spindle will

be same, if driver is of small diameter with respect to driven then the speed will be reduced at

operating shaft and vice versa.

CHAPTER 7PULLEYS

TYPES OF PULLEYS Fig 7.1

PARTS OF A PULLEY Fig 7.2

HUBKEY WAY

WEB

RIM

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ENGINEERING GRAPHICS166

PULLEYS

Outer cylindrical surface of the pulley used to hold

the belt is called RIM, while the inner cylindrical

part to be mounted on the shaft is called HUB. The

RIM and the HUB are joined together with solid

web or spokes or splines depending upon the size

of the pulley. In the pulleys of diameter up to 200

mm a solid web is provided. The pulley is attached

to the shaft either by the key or by a set screw of

the suitable size and type.

The driver pulley and driven pulley are connected

with different type of endless belts i.e. Flat Belt,

Rope Belt, V-Belt etc. The material of the belt

must be strong in tension yet flexible and

relatively light in weight i.e. canvas, leather,

rubber and so on.

Pulley - drive is very easy to install and require

minimum maintenance. The power is transmitted

from one shaft to another by means of friction

between the belt and the rim. The losses in power

transmission are negligible in V-belt pulley rather

than flat-belt pulley. However power transmission

capacity reaches its limit when the belt starts to

slip.

Now we understand that pulleys allow us to

1. Lift loads up, down and sideways.

2. Rotate things at different speeds.

Pulleys are classified as follows :

FLAT BELT DRIVE

V-BELT DRIVE

ROPE DRIVEFig 7.3

Pulleys

Type of BeltNo. of

Groove

Flat-Belt

Pulley

Rope

Pulley

Single Groove

Pulley

Double Groove

Pulley

Multiple Groove

Pulley

V-Belt

Pulley

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ENGINEERING GRAPHICS 167

PULLEYS

So pulley is a simple machine used in our day to day life to complete the work with less efforts. In

this class we will study Flat Belt and V-Belt pulleys, upto 200 mm diameter in detail.

The rim of the flat belt pulley is not flat it is slightly

convex and this is known as the crowning. Actually the

rotating belt around the pulley has a tendency to rise to

the highest point of the rim. In case of a flat rim, there

are chances of the slipping off of belt along the side of

the pulley. But the crowning (convex curvature) tends to

keep the belt in the middle of the rim.

The pulley is rigidly held to the shaft by key. The keyway

is cut with half thickness in hub and half in shaft. The

hub is having thickness to bear the rotational torque of

pulley. The out side of the hub and the inside of the rim

are slightly tapered to facilitate the removal of the

pattern from the mould at the time of casting.

7.2 FLAT BELT (SOLID C.I.) PULLEY

SOLID WEB CAST IRON PULLEY

Fig 7.3

DETAIL OF RIM

R44

2CROWN

2-CROWNING

RIM2-DRAW

52 BOSS Ø192

64

68

Ø56

Ø14 DRILL

KEYWAY 8X3

8

Ø 30

F

SOLID WEB (C.I.) PULLEY

2

4

34

Fig 7.4

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ENGINEERING GRAPHICS168

PULLEYS

Example 1 :

Draw the following Orthographic Views of the properly assembled Solid C.I. pulley, shaft and

Rectangular Taper Key. As shown in Fig 7.5

(a) Front View, upper half in section.

(b) Side View.

Write title and scale used. Draw projection symbol. Give '6' important dimensions.

Fig 7.5

DETAILS OF A SOLID CAST IRON PULLEY

CROWN-3

Ø144

Ø126

Ø11

8

Ø50

Ø58

74

4t

5

TAPER 1:100

RECT. TAPER KEY

w

3

Ø 20

SHAFT

5

2

WALL : 6 THICK ONE HOLE Ø 10

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ENGINEERING GRAPHICS 169

PULLEYS

Solution :

Exercise 1 :

Fig 7.6

The pictorial view of a Solid Web Cast Iron Pulley has been shown in Fig 7.4. Draw its following

Views :

1. Front View with upper half in section.

2. Side View looking from left side.

Write title and scale used. Draw projection symbol. Give '6' important dimensions.

SOLID C.I. PULLEY

SCALE 1:1ALL DIMS. ARE IN MM

Ø10

Ø58

Ø50

6

4

AØ2

0

99

50

2TAPER 1:100

CROWN 3

Ø11

8

Ø1

26

Ø1

44

A

HALF SEC. FRONT VIEW SIDE VIEW (L)

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ENGINEERING GRAPHICS170

PULLEYS

7.3 V- BELT PULLEY:

In the V- belt pulley, there is a wedge shaped groove ( V- groove

) provided on the rim of pulley to carry the belt of V- shaped

cross section. These are extensively used in our daily life as

well as in industries due to the high efficiency in power

transmission.

The endless belt of V- shape are specially made of rubber and

fibre to withstand high tensile force. In general, a groove of

40° is selected. But it must be adjusted in relation to the pulley

diameter. The pictorial view of a V- belt pulley with single

groove is shown in Fig 7.8. Detail of the V-groove along with the

section are also shown in the figure for better understanding of

it.

Fig 7.7

V- BELT PULLEY

SINGLE GROOVE V-BELT PULLEYFig 7.8

o30

R6

Ø 200Ø 168

Ø 128Ø 96

Ø60

R12

68

288

8

F

KEY WAY 15X5

o30

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ENGINEERING GRAPHICS 171

PULLEYS

Example 3 :

Solution :

Draw the Front View with upper half in section and Side View looking from left side for the

Assembly of pulley shown in Fig. 7.8 with shaft and key of proper size.

Write title and scale used. Draw projection symbol. Give '6' important dimensions.

28

Ø 1

28

Ø 2

00

Ø 1

68

Ø 9

6

Ø 6

0

FRONT VIEW UPPER HALF IN SECTION

SIDE VIEWFROM LEFT END

SCALE 1:2Fig 7.9

30°

A

A

V - BELT PULLEY

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ENGINEERING GRAPHICS172

PULLEYS

EXERCISE 4 : Fig 7.10 shows the orthographic views of a single groove V-belt pulley. Draw its

following views with shaft and key of proper size :

(i) Front View, upper half in section

(ii) Side View looking from left side.

Write title and scale used. Draw projection symbol. Give '6' important dimensions.

Ø 25, 4 HOLES ON Ø 125 PITCH CIRCLE

KEYWAY 8x3

Ø 5

0

Ø 2

50

18

25

4

20

30

Ø 3

0

A

A

30°

Fig 7.10

SINGLE GROOVE V - BELT PULLEY

60

SIDE VIEW SECTIONAL FRONT VIEW