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SURFACE TEXTURE

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UNIT 4

SURFACE TEXTURE

OBJECTIVES

General Objectives:

Specific Objectives :

To understand the importance of surface texture in
engineering.
To understand the methods of calculating the surface
roughness.
At the end of this unit you will be able to:

Ø

Identify the surface finish symbols that appear on a
drawing.

Ø

Identify the surface texture terms/ definitions.

Ø

Calculate the arithmetic mean value, Ra.

Ø

Calculate the root-mean-square average, Rq.

Ø

Calculate the maximum roughness height, Rt.

Ø

Compare Ra and Rq.

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DEFINITION
Surface Texture is defined as a degree of finish conveyed to the machinist

by a system of symbols devised by a Standards Association, eg. ASA – American
Standards Association, BS – British Standards
Modern technology has demanded improved surface finishes to ensure
proper functioning and long life of machine parts. Pistons, bearings, and gears
depend to a great extent on a good surface finish for proper functioning and
therefore, require little or no break-in period.

Finer finishes often require

additional operation, such as lapping or honing. The higher finishes are not
always required on parts and only result in higher production costs. To prevent
overfinishing a part, the desired finish is indicated on the shop drawing.
Information specifying the degree of finish is conveyed to the machinist by a
system of symbols devised by Standards Associations, eg. ASA American
Standards Association and BS British Standards.

These symbols provide a

standard system of determining and indicating surface finish. The inch unit for
surface finish measurement is microinch (µin), while the metric unit is

micrometer (µm)

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INPUT

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4.1.

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SURFACE TEXTURE TERMS AND DEFINITIONS
Lay
direction
Flaw
Waviness
height

Roughness
Height, Rt
Roughness
spacing

Surface profile

Roughness
width cutoff

Waviness
width

Error of form

Waviness

Roughness

Figure 4.1. Standard terminology and symbols to describe surface finish
Regardless of the method of production, all surfaces have their own
characteristics, which are collectively referred to as surface texture, Fig. 4.1.
Certain guidelines have been established to identify surface texture in terms of
well-defined and measurable quantities (Figure 4.2)
4.1.1.

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Flaws

Flaws or defects, are random irregularities, such as scratches,
cracks, holes, depression, seams, tears or inclusions. These defects can be
caused during the machining or production process such as moulding,

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casting, crack and tears by forging and drawing process.
Lay

Lay or directionality, is the direction of the predominant surface
pattern caused by the machining process and it is usually visible to the
naked eye.
4.1.3.

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drawing, forging, machining, eg, holes cause by air bubbles during

4.1.2.

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Roughness

Roughness is defined as closely spaced, irregular deviation on a
scale smaller than that of waviness. It is caused by the cutting tool or the
abrasive grain action and the machine feed. Roughness may be
superimposed on waviness.
4.1.3.1.

Roughness height

Roughness height, Ra is the deviation to the centre line in
micro inches or micrometers.
4.1.3.2.

Roughness width

Roughness Width is the distance between successive
roughness peaks parallel to the nominal surface in inches or
millimeters.

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4.1.4. Waviness
Waviness is a recurrent deviation from a flat surface, much like
waves on the surface of water. It is measured and described in terms of
the surface between adjacent crests of the waves (waviness width) and
height between the crests and valleys of the waves (waviness height).
Waviness can be caused by:
a) deflection of tools, dies or the work piece
b) force or temperature sufficient to cause warping
c) uneven lubrication
d) vibration
e) any periodic mechanical or thermal variations on the system
during manufacturing operations.
4.1.5. Profile
The contour of a specified section through a surface.
4.1.6. Microinch and micrometer
The unit of measurement used to measure surface finish. The
microinch is equal to 0.000 001 inch and the micrometer equals to
0.000 001 meter.

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4.2. STANDARD SYMBOLS TO DESCRIBE SURFACE TEXTURE/FINISH

0.02 – 2
6.3
1.6

0.01

Figure 4.2 A sample of a surface texture/finish designation
Symbols’ definition:
0.02

–

Maximum waviness height (mm)

2

-

Maximum waviness width (mm)

6.3

-

Maximum roughness height (mm)

1.6

-

Minimum roughness height (mm)

0.01

-

Maximum roughness width (mm)

-

Lay symbol (Lay perpendicular to the line
representing the surface to which the symbol is
applied)

Sometimes, the roughness number is used as a substitute for the
roughness value eg. N7 is equals to 1.6 µm, (Table. 4.1). Table 4.2 shows an
average surface roughness produced by standard machining processes.

Table 4.1. Roughness number and value
µm
50
25 12.5
Roughness
N12 N11 N10
number

6.3

3.2

1.6

0.8

0.4

0.2

0.1

N9

N8

N7

N6

N5

N4

N3

0.05 0.025
N2

N1

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PROCESS
Turning
Drilling
Reaming
Grinding
Honing
Lapping

MICROINCHES
100 - 250
100 - 200
50 - 150
20 - 100
5 - 20
1 - 10

MICROMETERS
2.5 - 6.3
2.5 - 5.1
1.3 - 3.8
0.5 - 2.5
0.13 - 0.5
0.025 - 0.254

4.3. SYMBOLS FOR SURFACE ROUGHNESS
The following symbols indicate the direction of the lay (Table 4.3)

=

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Table 4.2 Average surface roughness produced by standard machining
processes

Lay
Symbol

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Interpretation

Lay parallel to the line representing the surface
to which the symbol is applied

Lay perpendicular to the line representing the
surface to which the symbol is applied.

X

Lay angular and both direction to line
representing the surface to which symbol is
applied

M

Lay multidirectional

Examples

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Lay
Symbol

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Interpretation

C

R

Examples

Lay approximately circular relative to the centre
of the surface to which the symbol is applied

Lay approximately radial relative to the centre
of the surface to which the symbol is applied

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Pitted, protuberant, porous, or particulate nondirectional lay

Figure 4.3. Standard lay symbols for engineering surfaces

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TEST YOUR UNDERSTANDING BEFORE CONTINUING TO THE
NEXT INPUT…!

Explain why present-day standards relating to surface texture are
very important to industry .

4.2.

List and explain the types of defects found on surfaces.

4.3.

Explain the following terms:
a) roughness
b) waviness
c) lay

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ACTIVITY 4A

4.1.

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The

present-day

standards

such

as

American

Standards

Association (ASA) and British Standards Association (BSA)
specifies the degree of finish on the drawing which is then conveyed
to the machinist. This is to prevent over finishing a component or
part and to be more cost-effective.
.
4.2.

Types of defects found on surfaces are scratches, cracks, holes,
depression, seams, tears or inclusions. These defects can be caused
during the machining or production process such as moulding,
drawing, forging, machining, eg, holes in casting can be caused by
air bubbles during casting, crack and tears by forging and drawing
processes.

4.3.

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FEEDBACK ON ACTIVITY 4A

4.1.

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a) Roughness
Roughness is defined as closely spaced, irregular deviation on a
scale smaller than that of waviness. It is caused by the cutting tool
or the abrasive grain action and the machine feed. Roughness may
be superimposed on waviness.

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b) Waviness
Waviness is a recurrent deviation from a flat surface, much like
waves on the surface of water. It is measured and described in
terms of the surface between adjacent crests of the waves (waviness
width) and height between the crests and valleys of the waves
(waviness height).
c) Lay
Lay or directionality, is the direction of the predominant surface
pattern caused by the machining process and it is usually visible to
the naked eye.

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INPUT

4.4 SURFACE ROUGHNESS
Surface roughness is generally described in two methods: arithmetic mean
value and root-mean-square average.
4.4.1 The Arithmetic Mean Value, Ra.
Ra, formerly identified as AA for arithmetic average or CLA for
centre-line average is based on the schematic illustration of a rough
surface, which is shown in (Figure 4.4). The arithmetic mean value, Ra, is
defined as
a + b + c + d + e + f + ...
(4.4.1)
n
Where, all ordinates, a, b, c, …, are absolute values, and n is the number
of readings

Ra =

4.4.2. The Root-Mean-Square Average, Rq.
Rq, formerly identified as RMS is defined as

a 2 + b 2 + c 2 + d 2 +...
Rq =
n

(4.4.2)

The datum line AB in figure 4.4 is located so that the sum of the
area above the line is equal to the sum of the areas below the line. The
units generally used for surface roughness are µm (micrometer, or micron)
or µin (microinch). ( Note, 1µm = 40 µin and 1µin = 0.025 µm ).

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f g h i j k
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B

b c d e
Centre line (datum line)

Figure 4.3. Coordinates used for surface – roughness using equations 4.4.1 &
4.4.2

3.4.3. Maximum Roughness Height, Rt
Maximum roughness height, Rt, is defined as the height from the
deepest trough to the highest peak. It indicates how much material has to
be removed in order to obtain a smooth surface by polishing or other
means

(h1 + h3 + h5 + h7 + h9 ) - (h2 + h4 + h6 + h8 + h10 )
x (4.4.3)
5

h1

h3
h2

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Rt =

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h6
h4

h5

h7

h8

h10

Figure 4.4. Maximum roughness height (Rt)

h9

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Where,
h1, h2…......hn
M

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- height of ordinates in mm
- magnification

4.5. COMPARISON OF Ra AND Rq
The arithmetic mean value, Ra was adopted internationally in the mid1950s and is used widely in engineering practice. Equations 4.4.1 and 4.4.2
show that there is a relationship between Rq and Ra, as shown by the ratio

Rq
.
Ra

The table 4.4 below gives this ratio for various surfaces:

Table 4.4 Ratio for various surfaces
Surface
Sine Curve
Machining by cutting
Grinding
Lapping and honing

Rq
Ra
1.1

1.1
1.2
1.4

In general, a surface cannot be describe by its Ra and Rq value alone,
since these values are averages. Two surfaces may have the same roughness
value but have actual topography which is very different. A few deep troughs on
an otherwise smooth surface, for example, do not affect the roughness values
significantly. However, the type of surface profile can be significant in terms of
friction, wear and fatigue characteristics of a manufactured product.
It is therefore, important to analyze the surface in great detail,
particularly for parts used in critical applications. Some 130 parameters have
been identified thus far for measuring surface roughness.

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4.6 USING A SURFACE TEXTURE COMPARATOR
A more elaborate device for measuring surface finish is the surface
analyzer (prolimeter surface measuring instrument).

It utilizes a recording

device to reproduce the surface irregularities on a graduated chart, providing an
ink-line record.
Although the surface indicator is the most common, other methods may be
used to measure surface finish with reasonable accuracy during machining
processes, including:
4.6.1. Comparison blocks.
Comparison blocks which are use for comparing the finish on the
work piece with the calibrated finish on a test block. Surface roughness
can be measured by comparison inspection or by direct measurement. In
comparison inspection the surface roughness can be estimated by
matching a work piece surface with blocks that display a series of
increasingly smooth surfaces, Fig. 4.5.
4.6.2. Commercial sets of standard finished specimens.
Commercial sets of standard finished specimens, which have up to
25 different surface finish samples.

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They consist of blocks or plates

having surface varying from the smoothest to the roughest likely to be
required.
These specimens ( Fig. 4.5. ) are used to check the finish of the
machined part against the sample finish to determine approximately the
finish produced of the part. It is often difficult to determine the finish

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visually. In such cases, the surfaces may be compared by moving the tip of
your fingernail over the two surfaces.

Figure 4.4. Maximum roughness height (Rt)

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ACTIVITY 4B

TEST YOUR UNDERSTANDING BEFORE CONTINUING WITH THE
NEXT INPUT…!

4.4.

What do Ra, Rq and Rt stand for?

4.5.

Describe how you would use the surface roughness comparator
gauge.

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4.4

a

f g h i j k
b c d e

B

Centre line (datum)

( i). The Arithmetic Mean Value, Ra.
The arithmetic mean value, Ra, is defined as

Ra =

a + b + c + d + e + f + ...
n

where all ordinates, a, b, c, …, are absolute values, and n is the
number of readings
( ii). The Root-Mean-Square Average, Rq.
Rq, is defined as

Rq =

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FEEDBACK ON ACTIVITY 4B

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ABB

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a 2 + b 2 + c 2 + d 2 +...
n

The datum line AB in the figure above is located so that the sum of
the area above the line is equal to the sum of the areas below the
line. The units generally used for surface roughness are µm

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= 40µin and 1µin = 0.025µm.
(iii). Maximum Roughness Height, Rt
Maximum roughness height, Rt, is defined as the height from the
deepest through to the highest peak. It indicates how much
material has to be removed in order to obtain a smooth surface by
polishing or other means
(h1 + h3 + h5 + h7 + h9 ) - (h2 + h4 + h6 + h8 + h10 )
5

h1

h3
h2

4.5.

bu
w

(micrometer, or micron) or µin (microinch). Note, for example 1µm

Rt =

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h6
h4

h5

h7

h8

h9

h10

Comparison blocks which are use for comparing the finish on the

workpiece with the calibrated finish on a test block. Surface roughness
can be measured by comparison inspection or by direct measureement. In
comparison inspection the surface roughness can be estimated by
matching a workpiece surface with blocks that display a series of
increasingly smooth surfaces.

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What is meant by surface texture of a component?
a. Name three (3) method of indicating quality or texture number of a
surface.
b. State the importance of surface texture in engineering.

2. Sketch a surface profile of a machined surface. Label five (5) main parts.
3.

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SELF-ASSESSMENT 4

1.

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Define the symbol on figure below.
0.03 – 1.5
3.2
1.6

0.01

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SURFACE TEXTURE

w

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A B B Y Y.c

FEEDBACK OF SELF-ASSESSMENT 4

1.
Surface Texture is defined as a degree of finish conveyed to the machinist
by a system of symbols.
(i) The Arithmetic Mean Value, Ra.
Ra, formerly identified as AA for arithmetic average or CLA for
centre-line average is based on the schematic illustration of a rough
surface, which is shown in figure below. The arithmetic mean value, Ra, is
defined as

A
a

f g h i j k
b c d e

B

Centre line (datum line)

a + b + c + d + e + f + ...
n
Where, all ordinates, a, b, c, …, are absolute values, and n is the number
of readings

Ra =

.(ii) The Root-Mean-Square Average, Rq.
Rq, formerly identified as RMS is defined as

Rq =

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2.0

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ABB

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a 2 + b 2 + c 2 + d 2 +...
n

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F T ra n sf o

Maximum roughness height, Rt, is defined as the height from the
deepest trough to the highest peak. It indicates how much material has to
be removed in order to obtain a smooth surface by polishing or other
means
(h1 + h3 + h5 + h7 + h9 ) - (h2 + h4 + h6 + h8 + h10 )
5

h1

h3
h2

bu
w

(iii) Maximum Roughness Height, Rt

Rt =

to
re
he
k
lic
C

SURFACE TEXTURE

rm

y

ABB

to
re
he

J3103/4/22

k
lic
C
w.

om

w

w

w

Y

2.0

2.0

bu

y

rm

er

Y

F T ra n sf o

ABB

PD

er

Y

h6
h4

h5

h7

h8

h10

Maximum roughness height (Rt)

(b) To ensure proper functioning, long life and interchangeability of machine
parts.

h9

w.

A B B Y Y.c

om
A B B Y Y.c

Y

PD

F T ra n sf o

bu
to
re
he
k
lic
C

SURFACE TEXTURE

rm

y

ABB

to
re
he

J3103/4/23

k
lic
C
w.

om

w

w

w

w

Y

2.0

2.0

bu

y

rm

er

Y

F T ra n sf o

ABB

PD

er

Y

w.

A B B Y Y.c

2.
4. 9.
Flaw
Waviness height
Lay direction

Roughness
height

Roughness
Spacing

Roughness width
cutoff
Waviness width

3.. Symbols’ definition:
0.02

–

Maximum waviness height (mm)

2

-

Maximum waviness width (mm)

6.3

-

Maximum roughness height (mm)

1.6

-

Minimum roughness height (mm)

0.01

-

Maximum roughness width (mm)

-

Lay symbol (Lay perpendicular to the line
representing the surface to which the symbol is
applied)

om

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Workshop Technology 2, Chapter 3

  • 1. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/1 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y UNIT 4 SURFACE TEXTURE OBJECTIVES General Objectives: Specific Objectives : To understand the importance of surface texture in engineering. To understand the methods of calculating the surface roughness. At the end of this unit you will be able to: Ø Identify the surface finish symbols that appear on a drawing. Ø Identify the surface texture terms/ definitions. Ø Calculate the arithmetic mean value, Ra. Ø Calculate the root-mean-square average, Rq. Ø Calculate the maximum roughness height, Rt. Ø Compare Ra and Rq. w. A B B Y Y.c om
  • 2. A B B Y Y.c Y PD F T ra n sf o DEFINITION Surface Texture is defined as a degree of finish conveyed to the machinist by a system of symbols devised by a Standards Association, eg. ASA – American Standards Association, BS – British Standards Modern technology has demanded improved surface finishes to ensure proper functioning and long life of machine parts. Pistons, bearings, and gears depend to a great extent on a good surface finish for proper functioning and therefore, require little or no break-in period. Finer finishes often require additional operation, such as lapping or honing. The higher finishes are not always required on parts and only result in higher production costs. To prevent overfinishing a part, the desired finish is indicated on the shop drawing. Information specifying the degree of finish is conveyed to the machinist by a system of symbols devised by Standards Associations, eg. ASA American Standards Association and BS British Standards. These symbols provide a standard system of determining and indicating surface finish. The inch unit for surface finish measurement is microinch (µin), while the metric unit is micrometer (µm) bu to re he k w INPUT 4.0 lic C SURFACE TEXTURE rm y ABB to re he J3103/4/2 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y w. A B B Y Y.c om
  • 3. A B B Y Y.c Y PD F T ra n sf o 4.1. bu to re he k w SURFACE TEXTURE TERMS AND DEFINITIONS Lay direction Flaw Waviness height Roughness Height, Rt Roughness spacing Surface profile Roughness width cutoff Waviness width Error of form Waviness Roughness Figure 4.1. Standard terminology and symbols to describe surface finish Regardless of the method of production, all surfaces have their own characteristics, which are collectively referred to as surface texture, Fig. 4.1. Certain guidelines have been established to identify surface texture in terms of well-defined and measurable quantities (Figure 4.2) 4.1.1. lic C SURFACE TEXTURE rm y ABB to re he J3103/4/3 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y Flaws Flaws or defects, are random irregularities, such as scratches, cracks, holes, depression, seams, tears or inclusions. These defects can be caused during the machining or production process such as moulding, w. A B B Y Y.c om
  • 4. A B B Y Y.c Y PD F T ra n sf o casting, crack and tears by forging and drawing process. Lay Lay or directionality, is the direction of the predominant surface pattern caused by the machining process and it is usually visible to the naked eye. 4.1.3. bu to re he k w drawing, forging, machining, eg, holes cause by air bubbles during 4.1.2. lic C SURFACE TEXTURE rm y ABB to re he J3103/4/4 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y Roughness Roughness is defined as closely spaced, irregular deviation on a scale smaller than that of waviness. It is caused by the cutting tool or the abrasive grain action and the machine feed. Roughness may be superimposed on waviness. 4.1.3.1. Roughness height Roughness height, Ra is the deviation to the centre line in micro inches or micrometers. 4.1.3.2. Roughness width Roughness Width is the distance between successive roughness peaks parallel to the nominal surface in inches or millimeters. w. A B B Y Y.c om
  • 5. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/5 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y 4.1.4. Waviness Waviness is a recurrent deviation from a flat surface, much like waves on the surface of water. It is measured and described in terms of the surface between adjacent crests of the waves (waviness width) and height between the crests and valleys of the waves (waviness height). Waviness can be caused by: a) deflection of tools, dies or the work piece b) force or temperature sufficient to cause warping c) uneven lubrication d) vibration e) any periodic mechanical or thermal variations on the system during manufacturing operations. 4.1.5. Profile The contour of a specified section through a surface. 4.1.6. Microinch and micrometer The unit of measurement used to measure surface finish. The microinch is equal to 0.000 001 inch and the micrometer equals to 0.000 001 meter. w. A B B Y Y.c om
  • 6. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/6 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y 4.2. STANDARD SYMBOLS TO DESCRIBE SURFACE TEXTURE/FINISH 0.02 – 2 6.3 1.6 0.01 Figure 4.2 A sample of a surface texture/finish designation Symbols’ definition: 0.02 – Maximum waviness height (mm) 2 - Maximum waviness width (mm) 6.3 - Maximum roughness height (mm) 1.6 - Minimum roughness height (mm) 0.01 - Maximum roughness width (mm) - Lay symbol (Lay perpendicular to the line representing the surface to which the symbol is applied) Sometimes, the roughness number is used as a substitute for the roughness value eg. N7 is equals to 1.6 µm, (Table. 4.1). Table 4.2 shows an average surface roughness produced by standard machining processes. Table 4.1. Roughness number and value µm 50 25 12.5 Roughness N12 N11 N10 number 6.3 3.2 1.6 0.8 0.4 0.2 0.1 N9 N8 N7 N6 N5 N4 N3 0.05 0.025 N2 N1 w. A B B Y Y.c om
  • 7. A B B Y Y.c Y PD F T ra n sf o PROCESS Turning Drilling Reaming Grinding Honing Lapping MICROINCHES 100 - 250 100 - 200 50 - 150 20 - 100 5 - 20 1 - 10 MICROMETERS 2.5 - 6.3 2.5 - 5.1 1.3 - 3.8 0.5 - 2.5 0.13 - 0.5 0.025 - 0.254 4.3. SYMBOLS FOR SURFACE ROUGHNESS The following symbols indicate the direction of the lay (Table 4.3) = bu to re he k w Table 4.2 Average surface roughness produced by standard machining processes Lay Symbol lic C SURFACE TEXTURE rm y ABB to re he J3103/4/7 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y Interpretation Lay parallel to the line representing the surface to which the symbol is applied Lay perpendicular to the line representing the surface to which the symbol is applied. X Lay angular and both direction to line representing the surface to which symbol is applied M Lay multidirectional Examples w. A B B Y Y.c om
  • 8. A B B Y Y.c Y PD F T ra n sf o Lay Symbol bu to re he k w Interpretation C R Examples Lay approximately circular relative to the centre of the surface to which the symbol is applied Lay approximately radial relative to the centre of the surface to which the symbol is applied P lic C SURFACE TEXTURE rm y ABB to re he J3103/4/8 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y Pitted, protuberant, porous, or particulate nondirectional lay Figure 4.3. Standard lay symbols for engineering surfaces C R P w. A B B Y Y.c om
  • 9. A B B Y Y.c Y PD F T ra n sf o TEST YOUR UNDERSTANDING BEFORE CONTINUING TO THE NEXT INPUT…! Explain why present-day standards relating to surface texture are very important to industry . 4.2. List and explain the types of defects found on surfaces. 4.3. Explain the following terms: a) roughness b) waviness c) lay bu to re he k w ACTIVITY 4A 4.1. lic C SURFACE TEXTURE rm y ABB to re he J3103/4/9 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y w. A B B Y Y.c om
  • 10. A B B Y Y.c Y PD F T ra n sf o The present-day standards such as American Standards Association (ASA) and British Standards Association (BSA) specifies the degree of finish on the drawing which is then conveyed to the machinist. This is to prevent over finishing a component or part and to be more cost-effective. . 4.2. Types of defects found on surfaces are scratches, cracks, holes, depression, seams, tears or inclusions. These defects can be caused during the machining or production process such as moulding, drawing, forging, machining, eg, holes in casting can be caused by air bubbles during casting, crack and tears by forging and drawing processes. 4.3. bu to re he k w FEEDBACK ON ACTIVITY 4A 4.1. lic C SURFACE TEXTURE rm y ABB to re he J3103/4/10 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y a) Roughness Roughness is defined as closely spaced, irregular deviation on a scale smaller than that of waviness. It is caused by the cutting tool or the abrasive grain action and the machine feed. Roughness may be superimposed on waviness. w. A B B Y Y.c om
  • 11. A B B Y Y.c Y F T ra n sf o b) Waviness Waviness is a recurrent deviation from a flat surface, much like waves on the surface of water. It is measured and described in terms of the surface between adjacent crests of the waves (waviness width) and height between the crests and valleys of the waves (waviness height). c) Lay Lay or directionality, is the direction of the predominant surface pattern caused by the machining process and it is usually visible to the naked eye. bu to re k he J3103/4/11 lic SURFACE TEXTURE rm y ABB PD C to re he k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y w. A B B Y Y.c om
  • 12. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/12 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y INPUT 4.4 SURFACE ROUGHNESS Surface roughness is generally described in two methods: arithmetic mean value and root-mean-square average. 4.4.1 The Arithmetic Mean Value, Ra. Ra, formerly identified as AA for arithmetic average or CLA for centre-line average is based on the schematic illustration of a rough surface, which is shown in (Figure 4.4). The arithmetic mean value, Ra, is defined as a + b + c + d + e + f + ... (4.4.1) n Where, all ordinates, a, b, c, …, are absolute values, and n is the number of readings Ra = 4.4.2. The Root-Mean-Square Average, Rq. Rq, formerly identified as RMS is defined as a 2 + b 2 + c 2 + d 2 +... Rq = n (4.4.2) The datum line AB in figure 4.4 is located so that the sum of the area above the line is equal to the sum of the areas below the line. The units generally used for surface roughness are µm (micrometer, or micron) or µin (microinch). ( Note, 1µm = 40 µin and 1µin = 0.025 µm ). w. A B B Y Y.c om
  • 13. A B B Y Y.c Y PD F T ra n sf o f g h i j k a B b c d e Centre line (datum line) Figure 4.3. Coordinates used for surface – roughness using equations 4.4.1 & 4.4.2 3.4.3. Maximum Roughness Height, Rt Maximum roughness height, Rt, is defined as the height from the deepest trough to the highest peak. It indicates how much material has to be removed in order to obtain a smooth surface by polishing or other means (h1 + h3 + h5 + h7 + h9 ) - (h2 + h4 + h6 + h8 + h10 ) x (4.4.3) 5 h1 h3 h2 bu w A Rt = to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/13 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y h6 h4 h5 h7 h8 h10 Figure 4.4. Maximum roughness height (Rt) h9 w. A B B Y Y.c om
  • 14. A B B Y Y.c Y PD F T ra n sf o Where, h1, h2…......hn M bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/14 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y - height of ordinates in mm - magnification 4.5. COMPARISON OF Ra AND Rq The arithmetic mean value, Ra was adopted internationally in the mid1950s and is used widely in engineering practice. Equations 4.4.1 and 4.4.2 show that there is a relationship between Rq and Ra, as shown by the ratio Rq . Ra The table 4.4 below gives this ratio for various surfaces: Table 4.4 Ratio for various surfaces Surface Sine Curve Machining by cutting Grinding Lapping and honing Rq Ra 1.1 1.1 1.2 1.4 In general, a surface cannot be describe by its Ra and Rq value alone, since these values are averages. Two surfaces may have the same roughness value but have actual topography which is very different. A few deep troughs on an otherwise smooth surface, for example, do not affect the roughness values significantly. However, the type of surface profile can be significant in terms of friction, wear and fatigue characteristics of a manufactured product. It is therefore, important to analyze the surface in great detail, particularly for parts used in critical applications. Some 130 parameters have been identified thus far for measuring surface roughness. w. A B B Y Y.c om
  • 15. A B B Y Y.c Y PD F T ra n sf o bu to re he k w 4.6 USING A SURFACE TEXTURE COMPARATOR A more elaborate device for measuring surface finish is the surface analyzer (prolimeter surface measuring instrument). It utilizes a recording device to reproduce the surface irregularities on a graduated chart, providing an ink-line record. Although the surface indicator is the most common, other methods may be used to measure surface finish with reasonable accuracy during machining processes, including: 4.6.1. Comparison blocks. Comparison blocks which are use for comparing the finish on the work piece with the calibrated finish on a test block. Surface roughness can be measured by comparison inspection or by direct measurement. In comparison inspection the surface roughness can be estimated by matching a work piece surface with blocks that display a series of increasingly smooth surfaces, Fig. 4.5. 4.6.2. Commercial sets of standard finished specimens. Commercial sets of standard finished specimens, which have up to 25 different surface finish samples. lic C SURFACE TEXTURE rm y ABB to re he J3103/4/15 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y They consist of blocks or plates having surface varying from the smoothest to the roughest likely to be required. These specimens ( Fig. 4.5. ) are used to check the finish of the machined part against the sample finish to determine approximately the finish produced of the part. It is often difficult to determine the finish w. A B B Y Y.c om
  • 16. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/16 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y visually. In such cases, the surfaces may be compared by moving the tip of your fingernail over the two surfaces. Figure 4.4. Maximum roughness height (Rt) w. A B B Y Y.c om
  • 17. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/17 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y ACTIVITY 4B TEST YOUR UNDERSTANDING BEFORE CONTINUING WITH THE NEXT INPUT…! 4.4. What do Ra, Rq and Rt stand for? 4.5. Describe how you would use the surface roughness comparator gauge. w. A B B Y Y.c om
  • 18. A B B Y Y.c Y PD F T ra n sf o 4.4 a f g h i j k b c d e B Centre line (datum) ( i). The Arithmetic Mean Value, Ra. The arithmetic mean value, Ra, is defined as Ra = a + b + c + d + e + f + ... n where all ordinates, a, b, c, …, are absolute values, and n is the number of readings ( ii). The Root-Mean-Square Average, Rq. Rq, is defined as Rq = bu to re he k w FEEDBACK ON ACTIVITY 4B A lic C SURFACE TEXTURE rm y ABB to re he J3103/4/18 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y a 2 + b 2 + c 2 + d 2 +... n The datum line AB in the figure above is located so that the sum of the area above the line is equal to the sum of the areas below the line. The units generally used for surface roughness are µm w. A B B Y Y.c om
  • 19. A B B Y Y.c Y PD F T ra n sf o = 40µin and 1µin = 0.025µm. (iii). Maximum Roughness Height, Rt Maximum roughness height, Rt, is defined as the height from the deepest through to the highest peak. It indicates how much material has to be removed in order to obtain a smooth surface by polishing or other means (h1 + h3 + h5 + h7 + h9 ) - (h2 + h4 + h6 + h8 + h10 ) 5 h1 h3 h2 4.5. bu w (micrometer, or micron) or µin (microinch). Note, for example 1µm Rt = to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/19 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y h6 h4 h5 h7 h8 h9 h10 Comparison blocks which are use for comparing the finish on the workpiece with the calibrated finish on a test block. Surface roughness can be measured by comparison inspection or by direct measureement. In comparison inspection the surface roughness can be estimated by matching a workpiece surface with blocks that display a series of increasingly smooth surfaces. w. A B B Y Y.c om
  • 20. A B B Y Y.c Y PD F T ra n sf o What is meant by surface texture of a component? a. Name three (3) method of indicating quality or texture number of a surface. b. State the importance of surface texture in engineering. 2. Sketch a surface profile of a machined surface. Label five (5) main parts. 3. bu to re he k w SELF-ASSESSMENT 4 1. lic C SURFACE TEXTURE rm y ABB to re he J3103/4/20 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y Define the symbol on figure below. 0.03 – 1.5 3.2 1.6 0.01 w. A B B Y Y.c om
  • 21. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE w w. A B B Y Y.c FEEDBACK OF SELF-ASSESSMENT 4 1. Surface Texture is defined as a degree of finish conveyed to the machinist by a system of symbols. (i) The Arithmetic Mean Value, Ra. Ra, formerly identified as AA for arithmetic average or CLA for centre-line average is based on the schematic illustration of a rough surface, which is shown in figure below. The arithmetic mean value, Ra, is defined as A a f g h i j k b c d e B Centre line (datum line) a + b + c + d + e + f + ... n Where, all ordinates, a, b, c, …, are absolute values, and n is the number of readings Ra = .(ii) The Root-Mean-Square Average, Rq. Rq, formerly identified as RMS is defined as Rq = rm y ABB to re he J3103/4/21 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y a 2 + b 2 + c 2 + d 2 +... n om
  • 22. A B B Y Y.c Y PD F T ra n sf o Maximum roughness height, Rt, is defined as the height from the deepest trough to the highest peak. It indicates how much material has to be removed in order to obtain a smooth surface by polishing or other means (h1 + h3 + h5 + h7 + h9 ) - (h2 + h4 + h6 + h8 + h10 ) 5 h1 h3 h2 bu w (iii) Maximum Roughness Height, Rt Rt = to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/22 k lic C w. om w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y h6 h4 h5 h7 h8 h10 Maximum roughness height (Rt) (b) To ensure proper functioning, long life and interchangeability of machine parts. h9 w. A B B Y Y.c om
  • 23. A B B Y Y.c Y PD F T ra n sf o bu to re he k lic C SURFACE TEXTURE rm y ABB to re he J3103/4/23 k lic C w. om w w w w Y 2.0 2.0 bu y rm er Y F T ra n sf o ABB PD er Y w. A B B Y Y.c 2. 4. 9. Flaw Waviness height Lay direction Roughness height Roughness Spacing Roughness width cutoff Waviness width 3.. Symbols’ definition: 0.02 – Maximum waviness height (mm) 2 - Maximum waviness width (mm) 6.3 - Maximum roughness height (mm) 1.6 - Minimum roughness height (mm) 0.01 - Maximum roughness width (mm) - Lay symbol (Lay perpendicular to the line representing the surface to which the symbol is applied) om