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Chapter Two
Traditional Machining
Processes
2/29/2024 Manufacturing Engineering I 1
2. Traditional machining processes
2.1. Mechanics of machining
What is machining?
Machining is a general term describing a group of processes that
consist of the removal of material and modification of the
surfaces of a workpiece after it has been produced
β„’
Machining involves both in traditional and nontraditional
machining operations such as turning, boring, drilling, milling,
planing, shaping, broaching, and grinding, ultrasonic machining;
chemical, electrical electrochemical machining; and high-energy-
beam machining.
2/29/2024 Manufacturing Engineering I 2
β€’ Workpieces are brought to its required shape and size by
removing unwanted material from workpiece material in the
form of chips.
2/29/2024 Manufacturing Engineering I 3
Machining processes involves
 Cutting
 Abrasive processes
 Advance machining processes
Cutting processes remove material from the surface of workpiece
by producing chips
β€’ Turning: a tool remove a layer of material from a rotating
workpiece
β€’ Cutting-off operation, where the cutting tool moves radially
inward and separates the right piece
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β€’ Slab-milling: rotating cutting tool removes a layer of material
from the surface of workpiece
β€’ End-milling: a rotating cutter travels along a certain depth in
the workpiece and produces a cavity
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Working Principle of machine tools
Machining operation takes place by the relative movement of tool
and work piece. Either tool move (milling, drilling, shaping) or
workpiece move (lathe, planing)
Machine tool produces geometrical surfaces
β€’ Flat surfaces
β€’ Cylindrical surfaces
β€’ Contour surfaces
2/29/2024 Manufacturing Engineering I 6
Milling operation Lathe operation
Cont.
The tool will cut the metal, provided by
β€’ The tool is harder than the work metal
β€’ The tool is properly shaped so that its edge can be effective in
cutting the metal
β€’ The tool is strong enough to resist cutting pressure but keen
enough to severe the metal
β€’ Movement of tool relative to workpiece
2/29/2024 Manufacturing Engineering I 7
Depth of cut, feed and cutting velocity
β€’ The basic elements of machining operations:
1. Workpiece
2. Tool
3. Chip
Depth of cut(d): the amount of diameter to be reduced
Feed (f): amount of length reduced per revolution
Cutting speed(v): the measure of cutting tool how it rotates.
2/29/2024 Manufacturing Engineering I 8
2.2. Mechanism of chip formation
The fig. shows shaping operation
οƒΌ Metal gets compressed severely
as tool reciprocates results in
shear stress
οƒΌ Stress is maximum along the
plane called shear plane
If job is ductile, the material flows
plastically along the shear plane
forming chip, which flows upwards
along the face of the tool
2/29/2024 Manufacturing Engineering I 9
β€’ A cutting tool moves to the left along the workpiece at a
constant velocity V, and a depth of cut t
β€’ A chip is produced a head of the tool by plastically deforming
and shearing the material continuously along the shear plane.
2/29/2024 Manufacturing Engineering I 10
Types of chips
a) Continuous chips
b) Discontinuous or segmental chips
c) Continuous chips with built-up edge
2/29/2024 Manufacturing Engineering I 11
Cont.
a) Continuous chips
 It is continuous plastic deformation of metal ahead of the tool, the
chip moving smoothly up the tool face
 These type of chip is produce while
machining ductile material like mild
steel under favorable condition
 Bigger rake angle, finer feed and
keen cutting edge
2/29/2024 Manufacturing Engineering I 12
Cont.
b) Discontinuous chip
 These chips are produced in the form of small segment during
machining of brittle material like cast iron
 These also produced in machining of
ductile material when low cutting
Speed without adequate lubrication
 These results wear of tool and poor
surface finish
2/29/2024 Manufacturing Engineering I 13
Cont.
c) Continuous chips with built up edge
 While machining ductile material when high friction exists at tool –
chip interface results a continuous chip with built up edge
 Reaction of the chip on tool rises an
extensively high temperature and
compressed metal adjacent to tool
nose gets welded to it
 The extra metal welded to the tool is called built up edge
2/29/2024 Manufacturing Engineering I 14
Orthogonal and oblique cutting
Orthogonal cutting: in which the cutting edge is normal to workpiece
(angle = 90Β°)
Oblique cutting: in which the cutting action is inclined with the job by
a certain angle called inclination angle
2/29/2024 Manufacturing Engineering I 15
2.3. Tool geometry
β€’ Tool geometry is basically referred to some specific angles or slope
of the salient faces and edges of the tools at their cutting point.
Both material and geometry of the cutting tools play a big roles on the
effectiveness, efficiency and economics of machining
β€’ Tool geometry affects mechanics of chip formation, cutting
temperature, wear and product accuracy and finish.
Cutting tools classified based on number of major cutting edges
1. Single point cutting tools : Examples: turning tools, shaping,
planning and slotting tools and boring tools
2/29/2024 Manufacturing Engineering I 16
Cont.
1. Double or Two point cutting tools : Example : drills
2. Multipoint (more than two) cutting tool: Example: Milling cutters,
Broaching tools, Hobs, Gear shaping cutters etc.
2/29/2024 Manufacturing Engineering I 17
Single point Double point cutting tool multi point cutting
tool
Geometry of Single point cutting tool (SPCT)
Angles
i) Back rake angle
It is the angle between the face of the tool and a line parallel with
base of the tool measured in a perpendicular plane through the
side cutting edge.
2/29/2024 Manufacturing Engineering I 18
ii) Side rake angle
It is the angle by which the
face of tool is inclined side
ways.
iii) End relief angle
It is the angle that allows the tool to cut without rubbing on the
work- piece
iv) Side relief angle
It is the angle between the portion of the side flank immediately
below the side edge and a line perpendicular to the base of the
tool measured at right angles to the side.
2/29/2024 Manufacturing Engineering I 19
Geometry of Single point cutting tool (SPCT)
v) End cutting edge angle
It is the angle between the end cutting edge and a line
perpendicular to the shank of the tool. It provides clearance
between tool cutting edge and work piece.
vi) Side cutting edge angle
It is the angle between straight cutting edge on the side of tool
and the side of the shank. It is also known as lead angle. It is
responsible for turning the chip away from the finished surface
vii) Nose radius
It is the nose point connecting the side cutting edge and end
cutting edge
2/29/2024 Manufacturing Engineering I 20
Geometry of single point cutting tool
Face or rake surface, which is the surface of cutting tool along which
the chips move
Flank surface that face the workpiece. There are two flank surfaces,
namely principal and auxiliary flank surfaces.
Cutting edge that remove material from the workpiece.
Corner or cutting point, which is meeting point of the principal and
auxiliary cutting edges. Often a nose
radius is provided to avoid a sharp
corner
2/29/2024 Manufacturing Engineering I 21
2.3.1 Concept of rake and clearance angle
β€’ Rake and clearance angle of a cutting tool are the most important
feature of cutting tool
Rake angle (𝜸): inclination of rake surface from reference plane
Clearance angle (Ξ±): Angle of inclination of clearance or flank surface
from the finished surface
Rake and clearance angles of cutting tools
2/29/2024 Manufacturing Engineering I 22
Cont.
Function of rake angle
β€’ It allows the chip to flow in convenient direction
β€’ Reduce cutting force and hence reduce power consumption
β€’ Increase tool life and Improve surface finish
Rake angle may be positive, or negative or even zero as shown in Figure
2/29/2024 Manufacturing Engineering I 23
Relative advantage of rake angle
οƒ˜ Positive rake – helps reduce cutting force and thus cutting power
requirement
οƒ˜ Negative rake – to increase edge-strength and life of the tool
οƒ˜ Zero rake – to simplify design and manufacture of the form tools
Clearance angle is essentially provided to avoid rubbing of the tool
(flank) with the machined surface which causes loss of energy and
damages of both the tool and the job surface. Hence, clearance
angle is must be positive (3 ~ 15Β° depending upon tool-work
materials and type of the machining operations)
2/29/2024 Manufacturing Engineering I 24
Geometry of double point cutting tool
2/29/2024 Manufacturing Engineering I 25
Description system of single point cutting tool
1. Tool - in - hand system
2. Machine reference system – ASA system
3. Tool reference system
Orthogonal rake system (ORS)
Normal rake system (NRS)
4. Work reference system (WRS)
2/29/2024 Manufacturing Engineering I 26
1. Tool-in-hand system
This system of description is where only the salient features of the
cutting tool point are identified or visualized as shown in Fig. There is
no quantitative information, i.e., value of the angles.
2/29/2024 Manufacturing Engineering I 27
Cont.
2. Machine reference system (ASA system)
Geometry of a cutting tool refers mainly its salient working surfaces
and cutting edges. Those angles are expressed with respect to some
planes of reference
In Machine Reference System (ASA), the three planes of reference and
the coordinates are chosen based on the configuration and axes of the
machine tool concerned
2/29/2024 Manufacturing Engineering I 28
Cont.
Planes and axes of references in ASA system are as shown below.
οƒΌ πœ‹π‘… βˆ’Reference plane – plane perpendicular to velocity vector
οƒΌ πœ‹π‘‹ βˆ’Machine longitudinal plane – plane perpendicular to πœ‹π‘… and in
the direction of longitudinal feed
2/29/2024 Manufacturing Engineering I 29
Cont.
οƒΌ πœ‹π‘Œ βˆ’ Machine transverse plane – Plane Perpendicular to
both πœ‹π‘… π‘Žπ‘›π‘‘ πœ‹π‘‹
β€’ The axes π‘‹π‘š, π‘Œπ‘š and π‘π‘š are in the direction of longitudinal feed,
cross feed and cutting velocity respectively.
2/29/2024 Manufacturing Engineering I 30
Cont.
Definition of angles in ASA system
β€’ 𝛾𝑦 = back rake: angle of inclination of the rake surface from the
reference plane and measured on Machine Transverse plane, πœ‹π‘¦
β€’ Ξ³x = side/axial rake: angle of inclination of the rake surface from the
reference plane (Ο€R) and measured on Machine Ref. Plane, Ο€X
β€’ Ξ±x = side clearance: angle of inclination of the principal flank from
the machined surface (or Vc) and measured on Ο€X plane.
β€’ Ξ±y = back clearance: same as Ξ±x but measured on Ο€y plane
2/29/2024 Manufacturing Engineering I 31
Cont.
β€’ βˆ…π‘’ = end cutting edge angle: angle between the end cutting edge
(its projection on πœ‹π‘…) from πœ‹π‘₯ and measured on πœ‹π‘…
β€’ βˆ…π‘  = approach angle: angle between the principal cutting edge (its
projection on πœ‹π‘…) and πœ‹π‘¦ and measured on πœ‹π‘…
β€’ Nose radius, r (in inch) curvature of the tool tip
The order of angles in machine reference system (ASA) is
𝛾𝑦, 𝛾π‘₯, 𝛼𝑦, 𝛼π‘₯, βˆ…π‘’, βˆ…π‘ , π‘Ÿ(π‘–π‘›π‘β„Ž)
2/29/2024 Manufacturing Engineering I 32
3. Tool geometry in tool reference system
Orthogonal rake system (ORS) [also called ISO - old]
In ORS system configuration of tool geometry is taken as a reference
The planes of reference and the co-ordinate axes used for expressing
the tool angles in ORS are: πœ‹π‘… βˆ’ πœ‹π‘ βˆ’ πœ‹π‘œ π‘Žπ‘›π‘‘ 𝑋𝑂 βˆ’ π‘Œπ‘‚ βˆ’ 𝑍𝑂
2/29/2024 Manufacturing Engineering I 33
Cont.
β€’ where,
πœ‹π‘… = Reference plane perpendicular to the cutting velocity vector, 𝑉
𝑐
πœ‹π‘ = cutting plane; plane perpendicular to πœ‹π‘… and taken along the
principal cutting edge
πœ‹π‘‚ = Orthogonal plane; plane perpendicular to both πœ‹π‘… and πœ‹π‘
and the axes;
Xo = along the line of intersection of πœ‹π‘… and πœ‹π‘œ
Yo = along the line of intersection of πœ‹π‘… and πœ‹π‘
Zo = along the velocity vector, i.e., normal to both Xo and Yo axes
2/29/2024 Manufacturing Engineering I 34
Cont.
β€’ The main geometrical angles used to express tool geometry in
Orthogonal Rake System (ORS) and their definitions will be clear
from figure below
2/29/2024 Manufacturing Engineering I 35
Cont.
Definition of angles:
οƒ˜ πœΈπ’ = orthogonal rake: angle of inclination of the rake surface from
Reference plane, πœ‹π‘… and measured on the orthogonal plane, πœ‹π‘œ
οƒ˜ Ξ» = inclination angle; angle between πœ‹π‘ from the direction of assumed
longitudinal feed [πœ‹π‘‹] and measured on πœ‹π‘
οƒ˜ π›Όπ‘œ= orthogonal clearance of the principal flank: angle of inclination of the
principal flank from πœ‹π‘ and measured on πœ‹π‘œ
2/29/2024 Manufacturing Engineering I 36
Cont.
β€’ π›Όπ‘œβ€² = auxiliary orthogonal clearance: angle of inclination of the
auxiliary flank from auxiliary cutting plane, πœ‹π‘β€² and measured on
auxiliary orthogonal plane, πœ‹π‘β€² as indicated in Fig. below
2/29/2024 Manufacturing Engineering I 37
Cont.
β€’ Ο† = principal cutting edge angle: angle between πœ‹π‘ and the
direction of assumed longitudinal feed or πœ‹π‘‹ and measured
on πœ‹π‘…
β€’ Ο†1 = auxiliary cutting angle: angle between πœ‹π‘β€² and πœ‹π‘‹ and
measured on πœ‹π‘…
β€’ Nose radius, r (mm) r = radius of curvature of tool tip
ORS System – Ξ», π›Ύπ‘œ, π›Όπ‘œ, π›Όπ‘œβ€™, Ο†1, Ο†, r (mm)
2/29/2024 Manufacturing Engineering I 38
2.4. Forces analysis using merchants’ circle diagram
Knowing the cutting forces are required for :
β€’ Estimation of cutting power consumption, for proper selection of
the power source(s)
β€’ Structural design of the machine – fixture – tool system
β€’ Evaluation of role of the various machining parameters ( process –
cutting velocity 𝑉
𝑐, feed(π‘ π‘œ), depth of cut(𝑑), tool – material and
geometry, environment – cutting fluid) on cutting forces
β€’ Study of machinability characterization of the work materials
β€’ Condition monitoring of the cutting tools and machine tools
2/29/2024 Manufacturing Engineering I 39
Cont.
The relationship among cutting forces were established
by Merchant with the following assumptions:
β€’ The cutting velocity remains always constant
β€’ Cutting edge of the tool remains sharp throughout the cutting
β€’ There is no side ways of flow of chip
β€’ Only continuous chip is produced
β€’ There is no built up edge
β€’ No consideration is made of the inertia force of the chip
2/29/2024 Manufacturing Engineering I 40
Cutting force components
The single point cutting tools characterized by having one cutting force
during machining. But that force is resolved into three components for
ease of analysis
β€’ 𝑭𝒁: main or major component as it is the largest in magnitude
β€’ 𝑭𝒀: not large in magnitude but is
responsible for causing dimensional
inaccuracy and vibration.
β€’ 𝑭𝑿: larger than πΉπ‘Œ, and least
significant.
2/29/2024 Manufacturing Engineering I 41
Cont.
Vector sum of force component, where R is resultant force
β€’ 𝑅 = 𝐹𝑋 + πΉπ‘Œ +𝐹𝑍
β€’ πΉπ‘‹π‘Œ = 𝐹𝑋 + πΉπ‘Œ
β€’ 𝑅 = πΉπ‘‹π‘Œ + 𝐹𝑍
2/29/2024 Manufacturing Engineering I 42
Cont.
Relation between various forces and angle
𝐹𝑐 βˆ’Horizontal cutting force exerted by tool on the workpiece
𝐹𝑑 βˆ’vertical or tangential force which helps in holding the
tool in position and acts on the tool nose
𝐹 βˆ’Shear force due to tool-chip interface
𝑁 βˆ’normal to the chip force
𝐹𝑠 βˆ’shear force along shear plane
𝑁𝑠 βˆ’force acting normal to shear
plane
2/29/2024 Manufacturing Engineering I 43
Cont.
Fz is cutting force also
denoted by Fc
𝐹π‘₯𝑦 =Ft
𝐹𝑠 = 𝐹𝑐 cos βˆ… βˆ’ 𝐹𝑑 sin βˆ…
𝑁𝑠 = 𝐹𝑐 sin βˆ… + 𝐹𝑑 cos βˆ…
π‘π‘œπ‘’π‘“π‘“π‘–π‘π‘–π‘’π‘›π‘‘ π‘œπ‘“ π‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘›
πœ‡ = π‘‘π‘Žπ‘›π›½ =
𝐹
𝑁
𝐹 = 𝐹𝑑 cos 𝛾 + 𝐹𝑐 sin 𝛾
𝑁 = 𝐹𝑐 cos 𝛾 βˆ’ 𝐹𝑑 sin 𝛾
2/29/2024 Manufacturing Engineering I 44
2.5. Tool wear and tool life
Tool failure
A properly designed cutting tool is expected to perform the metal
cutting operation
If it is not giving a satisfactory performance it is indicator of the tool
failure and these are observed by the following effect during operation:
β€’ Poor surface finish
β€’ Higher consumption of power
β€’ Overheating of cutting tool
β€’ Appearance of burnishing band on the work surface
2/29/2024 Manufacturing Engineering I 45
Cont.
β€’ During the operation, a cutting tool may fail due to one or more of
the following reasons:
1. Thermal cracking and softening
2. Mechanical chipping
3. Gradual wear
2/29/2024 Manufacturing Engineering I 46
Tool failure due to Thermal cracking and softening
β€’ Although the cutting tool is quit hard to withstand high
temperature, still every tool material has a certain limit to which it
can withstand the elevated temperature without losing its hardness
β€’ If that limit crossed, the tool material starts deforming plastically at
the tip and at the cutting edge under the action of cutting pressure
and the high temperature
β€’ The main factors responsible for creating such condition of tool
failure are cutting speed, high feed rate, excessive depth of cut,
smaller nose radius and improper selection of tool material
2/29/2024 Manufacturing Engineering I 47
Cont.
Source of heat generation
Heat is generated in three main region
o Around shear plane
o Tool chip interface
o Tool work piece interface
2/29/2024 Manufacturing Engineering I 48
Cont.
β€’ The temperature ranges within which the common tool materials
can successfully operate without losing their hardness are:
πΆπ‘Žπ‘Ÿπ‘π‘œπ‘› π‘‘π‘œπ‘œπ‘™ 𝑆𝑑𝑒𝑒𝑙𝑠 200℃ βˆ’ 250℃
π»π‘–π‘”β„Ž 𝑠𝑝𝑒𝑒𝑑 𝑠𝑑𝑒𝑒𝑙𝑠 560℃ βˆ’ 600℃
πΆπ‘’π‘šπ‘’π‘›π‘‘π‘’π‘‘ πΆπ‘Žπ‘Ÿπ‘π‘–π‘‘π‘’ 800℃ βˆ’ 1000℃
Fluctuation of temperature on the cutting tool subjected to local
expansion and contraction leads to thermal cracking
2/29/2024 Manufacturing Engineering I 49
Tool failure due to mechanical chipping
β€’ Mechanical chipping of the nose and/or the cutting edge fail due to
high cutting pressure, mechanical impact, excessive wear, too high
vibration and chatter, weak tip and cutting edge, etc.
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Tool failure due to gradual wear
β€’ When a tool is in use for sometime it is found to have lost some
weight or mass, implying that it has lost some material from it, which
is due to wear
Types of wears βˆ’crater wear
βˆ’Flank wear
2/29/2024 Manufacturing Engineering I 51
Cont.
Crater wear
Crater wear is created due to pressure of hot chip sliding up the
face of the tool
The metal from the tool is supposed to transferred sliding chip in
the form of diffusion
Higher feed and lack of cutting fluids increase the rate of crate
wear
2/29/2024 Manufacturing Engineering I 52
Cont.
Flank wear
β€’ It occurs due to abrasion between tool flank and work piece and
excessive heat generation
β€’ The magnitude of these wear is depend on tool material hardness
when a tool is subjected to such type of wear:
οƒ˜ Work piece loses its dimensional accuracy
οƒ˜ Energy consumption/power requirement is increased
οƒ˜ Poor surface finish of work piece
2/29/2024 Manufacturing Engineering I 53
Mechanism of wear
1. Abrasion
2. Adhesion
3. Diffusion
4. Chemical wear
2/29/2024 Manufacturing Engineering I 54
Abrasion
The material of the tool face is softened due to high temperature; and
hard particles present on the underside of the chip may be:
β€’ Fragments of hard tool material
β€’ Broken pieces of built-up edge which are strain hardened
β€’ Extremely hard constituents
fragment of hard tool material plough into relatively softer
material of tool face and remove metal particles by mechanical
action
2/29/2024 Manufacturing Engineering I 55
Adhesion
β€’ Due to excessive pressure high friction occurs between the sliding
surface of the chip and the tool face
β€’ This gives rise in temperature, causing metallic bond between the
material of tool face and the chip
β€’ When the chip slides, these small
small welds are broken. But this
separation is not along the line of
contact
2/29/2024 Manufacturing Engineering I 56
Diffusion
Solid sate diffusion, which consists of transfer of atoms in metal crystal
lattice, at elevated temperature
The amount of diffusion depends on
o Temperature at the contact between the tool face and chip
o Period of contact between the tool face and chip
o The bonding affinity between the material of the tool and the
chip
2/29/2024 Manufacturing Engineering I 57
Chemical wear
 These occurs when cutting fluid is chemically active to the material
of the tool
 Chemical reaction taking places between the cutting fluid and the
tool material, leading to a change in chemical composition of
material of tool
2/29/2024 Manufacturing Engineering I 58
Tool Life
β€’ Tool life is a time interval for which tool works satisfactorily
Tool life is expressed in
οƒΌ Time period in minutes between two successive grindings
οƒΌ Number of components machined between two successive grindings
οƒΌ Volume of material removed between two successive grindings
2/29/2024 Manufacturing Engineering I 59
Cont.
Volume of material removed per unit time
πœ‹. 𝐷. 𝑑. 𝑓. π‘π‘šπ‘š3
π‘šπ‘–π‘›
Where, D diameter of work piece in mm
t depth of cut in mm
f feed rate in mm/rev
N number of revolution of workpiece per minute
The total volume of metal removed to tool failure
πœ‹. 𝐷. 𝑑. 𝑓. 𝑁. 𝑇 π‘šπ‘š3
T time in minute to tool failure
2/29/2024 Manufacturing Engineering I 60
Cont.
Cutting speed
𝑉 =
πœ‹π·π‘
1000
π‘š π‘šπ‘–π‘›
Total volume of metal removed to tool failure
𝑉. 1000. 𝑑. 𝑓. 𝑇 π‘šπ‘š3
2/29/2024 Manufacturing Engineering I 61
Taylor’s tool life equation
β€’ Taylor’s tool life equation
𝑉𝑇𝑛 = 𝐢
Where, V – cutting speed
T – tool life in min
C – constant
n – taylor exponent: depends on tool and workpiece material and
cutting workpiece
2/29/2024 Manufacturing Engineering I 62
Cont.
Values of n in different materials
Tool life curves for variety cutting tool
material
2/29/2024 Manufacturing Engineering I 63
Example1
1. Using Taylor equation for tool life and letting n=0.5 and C=120,
calculate the percentage increase in tool life when the cutting speed is
reduced by 50%
2/29/2024 Manufacturing Engineering I 64
Example2
If in turning of a steel rod by a given cutting tool (material and geometry)
at a given machining condition (π‘ π‘œ π‘Žπ‘›π‘‘ 𝑑) under a given environment
(cutting fluid application), the tool life decreases from 80 min to 20 min.
due to increase in cutting velocity, 𝑉
𝑐 from 60 m/min to 120 m/min., then
at what cutting velocity the life of that tool under the same condition and
environment will be 40 min.?
2/29/2024 Manufacturing Engineering I 65
Economics of Machining
οƒ˜ In manufacturing activity the cost of manufacturing is great
importance.
οƒ˜ The parameters to be considered in the evaluation of cost
production.
 Low production cost
 high production rate
 large quantity of production
2/29/2024 Manufacturing Engineering I 66
Economics of Machining
2/29/2024 Economics of Machining 67
β€’ To maximize the rate of production , high speed and feed can be
used. But higher speed and feed reduces tool life
οƒΌ results in frequent tool change.
β€’ Even though tool life is longer with low speed and feed , the rate of
production will be too small.
β€’ There exists optimum cutting condition for minimum production
time and minimum production cost.
Economics of Machining
2/29/2024 Economics of Machining 68
Cutting speed
Cost
Total cost
Material
handling
Raw Material
Machining Tool
Tool
changing
.
opt
V
Cost of a single pass turning
2/29/2024 Economics of Machining 69
1) Cost of labour
 salaries of workers
2) Cost of operating a machine
Interest
depreciation cost
 cost for power consumption
cost of maintenance
2/29/2024 Economics of Machining 70
3) Overhead Cost
 Cost of establishment which includes: building , land , office
equipment and staff salaries.
4) Job handling cost
Cost due to loading and unloading
5) Cost of a tool
6) Cost of resetting of Tool
Included cost of resetting and regrind
Cont.
2/29/2024 Economics of Machining 71
Cont.
 Cost of cutting action
Machining time per piece
N
f
l
Tm
.
ο€½
V
N
f
L Length of work piece
Feed
Number of rotation (rpm)
Cutting speed
min
1000
m
DN
V

ο€½
V
f
Dl
Tm
.
1000

ο€½
u
C Cost of operating a machine(including cost of labour) per unit time
Cost of cutting action m
uT
C
ο€½

Cost of a single pass turning
2/29/2024 Economics of Machining 72
 Job handling cost
Let be time of loading and unloading
h
T
 Cost of tool per job
Let denote the cost per cutting edge of the tool
e
C
οƒ˜ For throw-away carbide bits
Number of cutting edges/bit
ο€½
e
C
Cost of a bit
οƒ˜ For regrind able tools
Number of times the tool can be reground
ο€½
e
C
Cost of the tool
+ Cost of regrinding
h
uT
C
ο€½
Job handling cost

Cont.
2/29/2024 Economics of Machining 73

T
T
C m
e
ο€½
Cost of tool per job is tool life
T
 Tool setting cost
Let be time required for setting the tool
s
T
s
m
u T
T
T
C
ο€½
Cost of tool per job
2/29/2024
Economics of Machining
74
Cont.
Total machining cost
Let the total cost of turning per piece
p
C
T
T
C
T
T
T
C
T
C
T
C
C m
e
s
m
u
h
u
m
u
p 


ο€½
Cont.
2/29/2024 Economics of Machining 75
The total machining time per piece is given by:
0
T
T
T
T
T
T
T s
m
h
m 

ο€½
0
Let denote the rate of production. it is
expressed by the reciprocal of machining time
per piece
p
R
T
T
T
T
T
T
T
T
T
T
T
R
s
m
h
m
s
m
h
m
o
p


ο€½
οƒΊ

οƒΉ
οƒͺ




ο€½
ο€½
ο€­
1
1
1
Optimum cutting speed for minimum cost in
turning
2/29/2024
Economics of Machining
76
T
T
C
T
T
T
C
T
C
T
C
C m
e
s
m
u
h
u
m
u
p 


ο€½
T
T
C
T
T
T
T
T
C
C m
e
s
m
h
m
u
p 
οƒΊ

οƒΉ
οƒͺ




ο€½
V
f
Dl
Tm
.
1000

ο€½
Keeping constant to analyze the effect of cutting speed
f
Constant(B)
V
B
Tm ο€½ f
DL
B
1000

ο€½
C
VT n
ο€½
n
V
C
T
/
1
οƒ·
οƒΈ
οƒΆ



ο€½
Cont.
2/29/2024 Economics of Machining 77
T
T
C
T
T
T
T
T
C
C m
e
s
m
h
m
u
p 
οƒΊ

οƒΉ
οƒͺ




ο€½
Optimum cutting speed for minimum cost opc
V
0
ο€½
ο‚Ά
ο‚Ά
V
C p
 
n
u
e
s
opc
C
C
T
n
C
V
οƒΊ

οƒΉ
οƒͺ



οƒ·
οƒΈ
οƒΆ



ο€­
ο€½
/
1
1
 
 
n
n
e
n
n
s
h
u
p
C
BV
C
V
C
BT
T
V
B
C
C /
1
1
/
1
1
/
1
/
1
ο€­
ο€­

οƒΊ

οƒΉ
οƒͺ




ο€½
 
u
e
C
C
s
opc T
n
T 
οƒ·
οƒΈ
οƒΆ



ο€­
ο€½ 1
1
Tool life for optimum cutting speed for minimum cost opc
T
Thank you
2/29/2024 Manufacturing Engineering I 78

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Traditional Machining Processes presentation

  • 2. 2. Traditional machining processes 2.1. Mechanics of machining What is machining? Machining is a general term describing a group of processes that consist of the removal of material and modification of the surfaces of a workpiece after it has been produced β„’ Machining involves both in traditional and nontraditional machining operations such as turning, boring, drilling, milling, planing, shaping, broaching, and grinding, ultrasonic machining; chemical, electrical electrochemical machining; and high-energy- beam machining. 2/29/2024 Manufacturing Engineering I 2
  • 3. β€’ Workpieces are brought to its required shape and size by removing unwanted material from workpiece material in the form of chips. 2/29/2024 Manufacturing Engineering I 3
  • 4. Machining processes involves  Cutting  Abrasive processes  Advance machining processes Cutting processes remove material from the surface of workpiece by producing chips β€’ Turning: a tool remove a layer of material from a rotating workpiece β€’ Cutting-off operation, where the cutting tool moves radially inward and separates the right piece 2/29/2024 Manufacturing Engineering I 4
  • 5. β€’ Slab-milling: rotating cutting tool removes a layer of material from the surface of workpiece β€’ End-milling: a rotating cutter travels along a certain depth in the workpiece and produces a cavity 2/29/2024 Manufacturing Engineering I 5
  • 6. Working Principle of machine tools Machining operation takes place by the relative movement of tool and work piece. Either tool move (milling, drilling, shaping) or workpiece move (lathe, planing) Machine tool produces geometrical surfaces β€’ Flat surfaces β€’ Cylindrical surfaces β€’ Contour surfaces 2/29/2024 Manufacturing Engineering I 6 Milling operation Lathe operation
  • 7. Cont. The tool will cut the metal, provided by β€’ The tool is harder than the work metal β€’ The tool is properly shaped so that its edge can be effective in cutting the metal β€’ The tool is strong enough to resist cutting pressure but keen enough to severe the metal β€’ Movement of tool relative to workpiece 2/29/2024 Manufacturing Engineering I 7
  • 8. Depth of cut, feed and cutting velocity β€’ The basic elements of machining operations: 1. Workpiece 2. Tool 3. Chip Depth of cut(d): the amount of diameter to be reduced Feed (f): amount of length reduced per revolution Cutting speed(v): the measure of cutting tool how it rotates. 2/29/2024 Manufacturing Engineering I 8
  • 9. 2.2. Mechanism of chip formation The fig. shows shaping operation οƒΌ Metal gets compressed severely as tool reciprocates results in shear stress οƒΌ Stress is maximum along the plane called shear plane If job is ductile, the material flows plastically along the shear plane forming chip, which flows upwards along the face of the tool 2/29/2024 Manufacturing Engineering I 9
  • 10. β€’ A cutting tool moves to the left along the workpiece at a constant velocity V, and a depth of cut t β€’ A chip is produced a head of the tool by plastically deforming and shearing the material continuously along the shear plane. 2/29/2024 Manufacturing Engineering I 10
  • 11. Types of chips a) Continuous chips b) Discontinuous or segmental chips c) Continuous chips with built-up edge 2/29/2024 Manufacturing Engineering I 11
  • 12. Cont. a) Continuous chips  It is continuous plastic deformation of metal ahead of the tool, the chip moving smoothly up the tool face  These type of chip is produce while machining ductile material like mild steel under favorable condition  Bigger rake angle, finer feed and keen cutting edge 2/29/2024 Manufacturing Engineering I 12
  • 13. Cont. b) Discontinuous chip  These chips are produced in the form of small segment during machining of brittle material like cast iron  These also produced in machining of ductile material when low cutting Speed without adequate lubrication  These results wear of tool and poor surface finish 2/29/2024 Manufacturing Engineering I 13
  • 14. Cont. c) Continuous chips with built up edge  While machining ductile material when high friction exists at tool – chip interface results a continuous chip with built up edge  Reaction of the chip on tool rises an extensively high temperature and compressed metal adjacent to tool nose gets welded to it  The extra metal welded to the tool is called built up edge 2/29/2024 Manufacturing Engineering I 14
  • 15. Orthogonal and oblique cutting Orthogonal cutting: in which the cutting edge is normal to workpiece (angle = 90Β°) Oblique cutting: in which the cutting action is inclined with the job by a certain angle called inclination angle 2/29/2024 Manufacturing Engineering I 15
  • 16. 2.3. Tool geometry β€’ Tool geometry is basically referred to some specific angles or slope of the salient faces and edges of the tools at their cutting point. Both material and geometry of the cutting tools play a big roles on the effectiveness, efficiency and economics of machining β€’ Tool geometry affects mechanics of chip formation, cutting temperature, wear and product accuracy and finish. Cutting tools classified based on number of major cutting edges 1. Single point cutting tools : Examples: turning tools, shaping, planning and slotting tools and boring tools 2/29/2024 Manufacturing Engineering I 16
  • 17. Cont. 1. Double or Two point cutting tools : Example : drills 2. Multipoint (more than two) cutting tool: Example: Milling cutters, Broaching tools, Hobs, Gear shaping cutters etc. 2/29/2024 Manufacturing Engineering I 17 Single point Double point cutting tool multi point cutting tool
  • 18. Geometry of Single point cutting tool (SPCT) Angles i) Back rake angle It is the angle between the face of the tool and a line parallel with base of the tool measured in a perpendicular plane through the side cutting edge. 2/29/2024 Manufacturing Engineering I 18 ii) Side rake angle It is the angle by which the face of tool is inclined side ways.
  • 19. iii) End relief angle It is the angle that allows the tool to cut without rubbing on the work- piece iv) Side relief angle It is the angle between the portion of the side flank immediately below the side edge and a line perpendicular to the base of the tool measured at right angles to the side. 2/29/2024 Manufacturing Engineering I 19
  • 20. Geometry of Single point cutting tool (SPCT) v) End cutting edge angle It is the angle between the end cutting edge and a line perpendicular to the shank of the tool. It provides clearance between tool cutting edge and work piece. vi) Side cutting edge angle It is the angle between straight cutting edge on the side of tool and the side of the shank. It is also known as lead angle. It is responsible for turning the chip away from the finished surface vii) Nose radius It is the nose point connecting the side cutting edge and end cutting edge 2/29/2024 Manufacturing Engineering I 20
  • 21. Geometry of single point cutting tool Face or rake surface, which is the surface of cutting tool along which the chips move Flank surface that face the workpiece. There are two flank surfaces, namely principal and auxiliary flank surfaces. Cutting edge that remove material from the workpiece. Corner or cutting point, which is meeting point of the principal and auxiliary cutting edges. Often a nose radius is provided to avoid a sharp corner 2/29/2024 Manufacturing Engineering I 21
  • 22. 2.3.1 Concept of rake and clearance angle β€’ Rake and clearance angle of a cutting tool are the most important feature of cutting tool Rake angle (𝜸): inclination of rake surface from reference plane Clearance angle (Ξ±): Angle of inclination of clearance or flank surface from the finished surface Rake and clearance angles of cutting tools 2/29/2024 Manufacturing Engineering I 22
  • 23. Cont. Function of rake angle β€’ It allows the chip to flow in convenient direction β€’ Reduce cutting force and hence reduce power consumption β€’ Increase tool life and Improve surface finish Rake angle may be positive, or negative or even zero as shown in Figure 2/29/2024 Manufacturing Engineering I 23
  • 24. Relative advantage of rake angle οƒ˜ Positive rake – helps reduce cutting force and thus cutting power requirement οƒ˜ Negative rake – to increase edge-strength and life of the tool οƒ˜ Zero rake – to simplify design and manufacture of the form tools Clearance angle is essentially provided to avoid rubbing of the tool (flank) with the machined surface which causes loss of energy and damages of both the tool and the job surface. Hence, clearance angle is must be positive (3 ~ 15Β° depending upon tool-work materials and type of the machining operations) 2/29/2024 Manufacturing Engineering I 24
  • 25. Geometry of double point cutting tool 2/29/2024 Manufacturing Engineering I 25
  • 26. Description system of single point cutting tool 1. Tool - in - hand system 2. Machine reference system – ASA system 3. Tool reference system Orthogonal rake system (ORS) Normal rake system (NRS) 4. Work reference system (WRS) 2/29/2024 Manufacturing Engineering I 26
  • 27. 1. Tool-in-hand system This system of description is where only the salient features of the cutting tool point are identified or visualized as shown in Fig. There is no quantitative information, i.e., value of the angles. 2/29/2024 Manufacturing Engineering I 27
  • 28. Cont. 2. Machine reference system (ASA system) Geometry of a cutting tool refers mainly its salient working surfaces and cutting edges. Those angles are expressed with respect to some planes of reference In Machine Reference System (ASA), the three planes of reference and the coordinates are chosen based on the configuration and axes of the machine tool concerned 2/29/2024 Manufacturing Engineering I 28
  • 29. Cont. Planes and axes of references in ASA system are as shown below. οƒΌ πœ‹π‘… βˆ’Reference plane – plane perpendicular to velocity vector οƒΌ πœ‹π‘‹ βˆ’Machine longitudinal plane – plane perpendicular to πœ‹π‘… and in the direction of longitudinal feed 2/29/2024 Manufacturing Engineering I 29
  • 30. Cont. οƒΌ πœ‹π‘Œ βˆ’ Machine transverse plane – Plane Perpendicular to both πœ‹π‘… π‘Žπ‘›π‘‘ πœ‹π‘‹ β€’ The axes π‘‹π‘š, π‘Œπ‘š and π‘π‘š are in the direction of longitudinal feed, cross feed and cutting velocity respectively. 2/29/2024 Manufacturing Engineering I 30
  • 31. Cont. Definition of angles in ASA system β€’ 𝛾𝑦 = back rake: angle of inclination of the rake surface from the reference plane and measured on Machine Transverse plane, πœ‹π‘¦ β€’ Ξ³x = side/axial rake: angle of inclination of the rake surface from the reference plane (Ο€R) and measured on Machine Ref. Plane, Ο€X β€’ Ξ±x = side clearance: angle of inclination of the principal flank from the machined surface (or Vc) and measured on Ο€X plane. β€’ Ξ±y = back clearance: same as Ξ±x but measured on Ο€y plane 2/29/2024 Manufacturing Engineering I 31
  • 32. Cont. β€’ βˆ…π‘’ = end cutting edge angle: angle between the end cutting edge (its projection on πœ‹π‘…) from πœ‹π‘₯ and measured on πœ‹π‘… β€’ βˆ…π‘  = approach angle: angle between the principal cutting edge (its projection on πœ‹π‘…) and πœ‹π‘¦ and measured on πœ‹π‘… β€’ Nose radius, r (in inch) curvature of the tool tip The order of angles in machine reference system (ASA) is 𝛾𝑦, 𝛾π‘₯, 𝛼𝑦, 𝛼π‘₯, βˆ…π‘’, βˆ…π‘ , π‘Ÿ(π‘–π‘›π‘β„Ž) 2/29/2024 Manufacturing Engineering I 32
  • 33. 3. Tool geometry in tool reference system Orthogonal rake system (ORS) [also called ISO - old] In ORS system configuration of tool geometry is taken as a reference The planes of reference and the co-ordinate axes used for expressing the tool angles in ORS are: πœ‹π‘… βˆ’ πœ‹π‘ βˆ’ πœ‹π‘œ π‘Žπ‘›π‘‘ 𝑋𝑂 βˆ’ π‘Œπ‘‚ βˆ’ 𝑍𝑂 2/29/2024 Manufacturing Engineering I 33
  • 34. Cont. β€’ where, πœ‹π‘… = Reference plane perpendicular to the cutting velocity vector, 𝑉 𝑐 πœ‹π‘ = cutting plane; plane perpendicular to πœ‹π‘… and taken along the principal cutting edge πœ‹π‘‚ = Orthogonal plane; plane perpendicular to both πœ‹π‘… and πœ‹π‘ and the axes; Xo = along the line of intersection of πœ‹π‘… and πœ‹π‘œ Yo = along the line of intersection of πœ‹π‘… and πœ‹π‘ Zo = along the velocity vector, i.e., normal to both Xo and Yo axes 2/29/2024 Manufacturing Engineering I 34
  • 35. Cont. β€’ The main geometrical angles used to express tool geometry in Orthogonal Rake System (ORS) and their definitions will be clear from figure below 2/29/2024 Manufacturing Engineering I 35
  • 36. Cont. Definition of angles: οƒ˜ πœΈπ’ = orthogonal rake: angle of inclination of the rake surface from Reference plane, πœ‹π‘… and measured on the orthogonal plane, πœ‹π‘œ οƒ˜ Ξ» = inclination angle; angle between πœ‹π‘ from the direction of assumed longitudinal feed [πœ‹π‘‹] and measured on πœ‹π‘ οƒ˜ π›Όπ‘œ= orthogonal clearance of the principal flank: angle of inclination of the principal flank from πœ‹π‘ and measured on πœ‹π‘œ 2/29/2024 Manufacturing Engineering I 36
  • 37. Cont. β€’ π›Όπ‘œβ€² = auxiliary orthogonal clearance: angle of inclination of the auxiliary flank from auxiliary cutting plane, πœ‹π‘β€² and measured on auxiliary orthogonal plane, πœ‹π‘β€² as indicated in Fig. below 2/29/2024 Manufacturing Engineering I 37
  • 38. Cont. β€’ Ο† = principal cutting edge angle: angle between πœ‹π‘ and the direction of assumed longitudinal feed or πœ‹π‘‹ and measured on πœ‹π‘… β€’ Ο†1 = auxiliary cutting angle: angle between πœ‹π‘β€² and πœ‹π‘‹ and measured on πœ‹π‘… β€’ Nose radius, r (mm) r = radius of curvature of tool tip ORS System – Ξ», π›Ύπ‘œ, π›Όπ‘œ, π›Όπ‘œβ€™, Ο†1, Ο†, r (mm) 2/29/2024 Manufacturing Engineering I 38
  • 39. 2.4. Forces analysis using merchants’ circle diagram Knowing the cutting forces are required for : β€’ Estimation of cutting power consumption, for proper selection of the power source(s) β€’ Structural design of the machine – fixture – tool system β€’ Evaluation of role of the various machining parameters ( process – cutting velocity 𝑉 𝑐, feed(π‘ π‘œ), depth of cut(𝑑), tool – material and geometry, environment – cutting fluid) on cutting forces β€’ Study of machinability characterization of the work materials β€’ Condition monitoring of the cutting tools and machine tools 2/29/2024 Manufacturing Engineering I 39
  • 40. Cont. The relationship among cutting forces were established by Merchant with the following assumptions: β€’ The cutting velocity remains always constant β€’ Cutting edge of the tool remains sharp throughout the cutting β€’ There is no side ways of flow of chip β€’ Only continuous chip is produced β€’ There is no built up edge β€’ No consideration is made of the inertia force of the chip 2/29/2024 Manufacturing Engineering I 40
  • 41. Cutting force components The single point cutting tools characterized by having one cutting force during machining. But that force is resolved into three components for ease of analysis β€’ 𝑭𝒁: main or major component as it is the largest in magnitude β€’ 𝑭𝒀: not large in magnitude but is responsible for causing dimensional inaccuracy and vibration. β€’ 𝑭𝑿: larger than πΉπ‘Œ, and least significant. 2/29/2024 Manufacturing Engineering I 41
  • 42. Cont. Vector sum of force component, where R is resultant force β€’ 𝑅 = 𝐹𝑋 + πΉπ‘Œ +𝐹𝑍 β€’ πΉπ‘‹π‘Œ = 𝐹𝑋 + πΉπ‘Œ β€’ 𝑅 = πΉπ‘‹π‘Œ + 𝐹𝑍 2/29/2024 Manufacturing Engineering I 42
  • 43. Cont. Relation between various forces and angle 𝐹𝑐 βˆ’Horizontal cutting force exerted by tool on the workpiece 𝐹𝑑 βˆ’vertical or tangential force which helps in holding the tool in position and acts on the tool nose 𝐹 βˆ’Shear force due to tool-chip interface 𝑁 βˆ’normal to the chip force 𝐹𝑠 βˆ’shear force along shear plane 𝑁𝑠 βˆ’force acting normal to shear plane 2/29/2024 Manufacturing Engineering I 43
  • 44. Cont. Fz is cutting force also denoted by Fc 𝐹π‘₯𝑦 =Ft 𝐹𝑠 = 𝐹𝑐 cos βˆ… βˆ’ 𝐹𝑑 sin βˆ… 𝑁𝑠 = 𝐹𝑐 sin βˆ… + 𝐹𝑑 cos βˆ… π‘π‘œπ‘’π‘“π‘“π‘–π‘π‘–π‘’π‘›π‘‘ π‘œπ‘“ π‘“π‘Ÿπ‘–π‘π‘‘π‘–π‘œπ‘› πœ‡ = π‘‘π‘Žπ‘›π›½ = 𝐹 𝑁 𝐹 = 𝐹𝑑 cos 𝛾 + 𝐹𝑐 sin 𝛾 𝑁 = 𝐹𝑐 cos 𝛾 βˆ’ 𝐹𝑑 sin 𝛾 2/29/2024 Manufacturing Engineering I 44
  • 45. 2.5. Tool wear and tool life Tool failure A properly designed cutting tool is expected to perform the metal cutting operation If it is not giving a satisfactory performance it is indicator of the tool failure and these are observed by the following effect during operation: β€’ Poor surface finish β€’ Higher consumption of power β€’ Overheating of cutting tool β€’ Appearance of burnishing band on the work surface 2/29/2024 Manufacturing Engineering I 45
  • 46. Cont. β€’ During the operation, a cutting tool may fail due to one or more of the following reasons: 1. Thermal cracking and softening 2. Mechanical chipping 3. Gradual wear 2/29/2024 Manufacturing Engineering I 46
  • 47. Tool failure due to Thermal cracking and softening β€’ Although the cutting tool is quit hard to withstand high temperature, still every tool material has a certain limit to which it can withstand the elevated temperature without losing its hardness β€’ If that limit crossed, the tool material starts deforming plastically at the tip and at the cutting edge under the action of cutting pressure and the high temperature β€’ The main factors responsible for creating such condition of tool failure are cutting speed, high feed rate, excessive depth of cut, smaller nose radius and improper selection of tool material 2/29/2024 Manufacturing Engineering I 47
  • 48. Cont. Source of heat generation Heat is generated in three main region o Around shear plane o Tool chip interface o Tool work piece interface 2/29/2024 Manufacturing Engineering I 48
  • 49. Cont. β€’ The temperature ranges within which the common tool materials can successfully operate without losing their hardness are: πΆπ‘Žπ‘Ÿπ‘π‘œπ‘› π‘‘π‘œπ‘œπ‘™ 𝑆𝑑𝑒𝑒𝑙𝑠 200℃ βˆ’ 250℃ π»π‘–π‘”β„Ž 𝑠𝑝𝑒𝑒𝑑 𝑠𝑑𝑒𝑒𝑙𝑠 560℃ βˆ’ 600℃ πΆπ‘’π‘šπ‘’π‘›π‘‘π‘’π‘‘ πΆπ‘Žπ‘Ÿπ‘π‘–π‘‘π‘’ 800℃ βˆ’ 1000℃ Fluctuation of temperature on the cutting tool subjected to local expansion and contraction leads to thermal cracking 2/29/2024 Manufacturing Engineering I 49
  • 50. Tool failure due to mechanical chipping β€’ Mechanical chipping of the nose and/or the cutting edge fail due to high cutting pressure, mechanical impact, excessive wear, too high vibration and chatter, weak tip and cutting edge, etc. 2/29/2024 Manufacturing Engineering I 50
  • 51. Tool failure due to gradual wear β€’ When a tool is in use for sometime it is found to have lost some weight or mass, implying that it has lost some material from it, which is due to wear Types of wears βˆ’crater wear βˆ’Flank wear 2/29/2024 Manufacturing Engineering I 51
  • 52. Cont. Crater wear Crater wear is created due to pressure of hot chip sliding up the face of the tool The metal from the tool is supposed to transferred sliding chip in the form of diffusion Higher feed and lack of cutting fluids increase the rate of crate wear 2/29/2024 Manufacturing Engineering I 52
  • 53. Cont. Flank wear β€’ It occurs due to abrasion between tool flank and work piece and excessive heat generation β€’ The magnitude of these wear is depend on tool material hardness when a tool is subjected to such type of wear: οƒ˜ Work piece loses its dimensional accuracy οƒ˜ Energy consumption/power requirement is increased οƒ˜ Poor surface finish of work piece 2/29/2024 Manufacturing Engineering I 53
  • 54. Mechanism of wear 1. Abrasion 2. Adhesion 3. Diffusion 4. Chemical wear 2/29/2024 Manufacturing Engineering I 54
  • 55. Abrasion The material of the tool face is softened due to high temperature; and hard particles present on the underside of the chip may be: β€’ Fragments of hard tool material β€’ Broken pieces of built-up edge which are strain hardened β€’ Extremely hard constituents fragment of hard tool material plough into relatively softer material of tool face and remove metal particles by mechanical action 2/29/2024 Manufacturing Engineering I 55
  • 56. Adhesion β€’ Due to excessive pressure high friction occurs between the sliding surface of the chip and the tool face β€’ This gives rise in temperature, causing metallic bond between the material of tool face and the chip β€’ When the chip slides, these small small welds are broken. But this separation is not along the line of contact 2/29/2024 Manufacturing Engineering I 56
  • 57. Diffusion Solid sate diffusion, which consists of transfer of atoms in metal crystal lattice, at elevated temperature The amount of diffusion depends on o Temperature at the contact between the tool face and chip o Period of contact between the tool face and chip o The bonding affinity between the material of the tool and the chip 2/29/2024 Manufacturing Engineering I 57
  • 58. Chemical wear  These occurs when cutting fluid is chemically active to the material of the tool  Chemical reaction taking places between the cutting fluid and the tool material, leading to a change in chemical composition of material of tool 2/29/2024 Manufacturing Engineering I 58
  • 59. Tool Life β€’ Tool life is a time interval for which tool works satisfactorily Tool life is expressed in οƒΌ Time period in minutes between two successive grindings οƒΌ Number of components machined between two successive grindings οƒΌ Volume of material removed between two successive grindings 2/29/2024 Manufacturing Engineering I 59
  • 60. Cont. Volume of material removed per unit time πœ‹. 𝐷. 𝑑. 𝑓. π‘π‘šπ‘š3 π‘šπ‘–π‘› Where, D diameter of work piece in mm t depth of cut in mm f feed rate in mm/rev N number of revolution of workpiece per minute The total volume of metal removed to tool failure πœ‹. 𝐷. 𝑑. 𝑓. 𝑁. 𝑇 π‘šπ‘š3 T time in minute to tool failure 2/29/2024 Manufacturing Engineering I 60
  • 61. Cont. Cutting speed 𝑉 = πœ‹π·π‘ 1000 π‘š π‘šπ‘–π‘› Total volume of metal removed to tool failure 𝑉. 1000. 𝑑. 𝑓. 𝑇 π‘šπ‘š3 2/29/2024 Manufacturing Engineering I 61
  • 62. Taylor’s tool life equation β€’ Taylor’s tool life equation 𝑉𝑇𝑛 = 𝐢 Where, V – cutting speed T – tool life in min C – constant n – taylor exponent: depends on tool and workpiece material and cutting workpiece 2/29/2024 Manufacturing Engineering I 62
  • 63. Cont. Values of n in different materials Tool life curves for variety cutting tool material 2/29/2024 Manufacturing Engineering I 63
  • 64. Example1 1. Using Taylor equation for tool life and letting n=0.5 and C=120, calculate the percentage increase in tool life when the cutting speed is reduced by 50% 2/29/2024 Manufacturing Engineering I 64
  • 65. Example2 If in turning of a steel rod by a given cutting tool (material and geometry) at a given machining condition (π‘ π‘œ π‘Žπ‘›π‘‘ 𝑑) under a given environment (cutting fluid application), the tool life decreases from 80 min to 20 min. due to increase in cutting velocity, 𝑉 𝑐 from 60 m/min to 120 m/min., then at what cutting velocity the life of that tool under the same condition and environment will be 40 min.? 2/29/2024 Manufacturing Engineering I 65
  • 66. Economics of Machining οƒ˜ In manufacturing activity the cost of manufacturing is great importance. οƒ˜ The parameters to be considered in the evaluation of cost production.  Low production cost  high production rate  large quantity of production 2/29/2024 Manufacturing Engineering I 66
  • 67. Economics of Machining 2/29/2024 Economics of Machining 67 β€’ To maximize the rate of production , high speed and feed can be used. But higher speed and feed reduces tool life οƒΌ results in frequent tool change. β€’ Even though tool life is longer with low speed and feed , the rate of production will be too small. β€’ There exists optimum cutting condition for minimum production time and minimum production cost.
  • 68. Economics of Machining 2/29/2024 Economics of Machining 68 Cutting speed Cost Total cost Material handling Raw Material Machining Tool Tool changing . opt V
  • 69. Cost of a single pass turning 2/29/2024 Economics of Machining 69 1) Cost of labour  salaries of workers 2) Cost of operating a machine Interest depreciation cost  cost for power consumption cost of maintenance
  • 70. 2/29/2024 Economics of Machining 70 3) Overhead Cost  Cost of establishment which includes: building , land , office equipment and staff salaries. 4) Job handling cost Cost due to loading and unloading 5) Cost of a tool 6) Cost of resetting of Tool Included cost of resetting and regrind Cont.
  • 71. 2/29/2024 Economics of Machining 71 Cont.  Cost of cutting action Machining time per piece N f l Tm . ο€½ V N f L Length of work piece Feed Number of rotation (rpm) Cutting speed min 1000 m DN V  ο€½ V f Dl Tm . 1000  ο€½ u C Cost of operating a machine(including cost of labour) per unit time Cost of cutting action m uT C ο€½ 
  • 72. Cost of a single pass turning 2/29/2024 Economics of Machining 72  Job handling cost Let be time of loading and unloading h T  Cost of tool per job Let denote the cost per cutting edge of the tool e C οƒ˜ For throw-away carbide bits Number of cutting edges/bit ο€½ e C Cost of a bit οƒ˜ For regrind able tools Number of times the tool can be reground ο€½ e C Cost of the tool + Cost of regrinding h uT C ο€½ Job handling cost 
  • 73. Cont. 2/29/2024 Economics of Machining 73  T T C m e ο€½ Cost of tool per job is tool life T  Tool setting cost Let be time required for setting the tool s T s m u T T T C ο€½ Cost of tool per job
  • 74. 2/29/2024 Economics of Machining 74 Cont. Total machining cost Let the total cost of turning per piece p C T T C T T T C T C T C C m e s m u h u m u p    ο€½
  • 75. Cont. 2/29/2024 Economics of Machining 75 The total machining time per piece is given by: 0 T T T T T T T s m h m   ο€½ 0 Let denote the rate of production. it is expressed by the reciprocal of machining time per piece p R T T T T T T T T T T T R s m h m s m h m o p   ο€½ οƒΊ  οƒΉ οƒͺ     ο€½ ο€½ ο€­ 1 1 1
  • 76. Optimum cutting speed for minimum cost in turning 2/29/2024 Economics of Machining 76 T T C T T T C T C T C C m e s m u h u m u p    ο€½ T T C T T T T T C C m e s m h m u p  οƒΊ  οƒΉ οƒͺ     ο€½ V f Dl Tm . 1000  ο€½ Keeping constant to analyze the effect of cutting speed f Constant(B) V B Tm ο€½ f DL B 1000  ο€½ C VT n ο€½ n V C T / 1 οƒ· οƒΈ οƒΆ    ο€½
  • 77. Cont. 2/29/2024 Economics of Machining 77 T T C T T T T T C C m e s m h m u p  οƒΊ  οƒΉ οƒͺ     ο€½ Optimum cutting speed for minimum cost opc V 0 ο€½ ο‚Ά ο‚Ά V C p   n u e s opc C C T n C V οƒΊ  οƒΉ οƒͺ    οƒ· οƒΈ οƒΆ    ο€­ ο€½ / 1 1     n n e n n s h u p C BV C V C BT T V B C C / 1 1 / 1 1 / 1 / 1 ο€­ ο€­  οƒΊ  οƒΉ οƒͺ     ο€½   u e C C s opc T n T  οƒ· οƒΈ οƒΆ    ο€­ ο€½ 1 1 Tool life for optimum cutting speed for minimum cost opc T

Editor's Notes

  1. Manufacturing engineering