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© rkm2003
Theory of Metal
Cutting
Chapter 4
© rkm2003
Typical Metal
Cutting Operation
© rkm2003
Machining or Metal
Cutting
Removing unwanted material
Cutting/chipping/machining/
metal cutting
To get desired
Shape
Size
Surface finish
© rkm2003
Typical Machining Example
(a) RawMaterial
Unwanted material
to be removed
(b) Finished Product
Changing shape/size/finish
© rkm2003
Metal Cutting: features
Closer dimensional accuracy
Surface texture/finish
Economical
Complex shape
Size
© rkm2003
Metal Cutting: features
Material loss (~50%)
Scarcity of materials
Special equipment
Skilled operators
Time required
All materials cannot be machined
© rkm2003
Essentials of Metal
Cutting Operation
• Machine Tool
• Cutting Tool
• Method
• Operator A typical
Cutting Tool
© rkm2003
Machine Tool
Machine used for metal cutting
provision for holding workpiece
provision for holding tool
relative motion between them
providing power/energy
© rkm2003
Typical Machine tool
Ram
Tool
Workpiece
Vise
Base
v
Table
f or d
Tool head
d or f
Column
© rkm2003
Different Machine Tools
Type of surface –
flat/circular/complex
Metal Cutting Machine Tools
Metal Forming Machine Tools
© rkm2003
Classification of
Machine Tools
degree of specialization
general/special
surface
cylidrical/flat
motion
recipocatory/rotary
duty cycle
L/M/H
automation
manual/semi-auto/auto
energy
conventional/non-conventional
Mechanism of Metal
Cutting
Tool & Workpiece interaction
Force
Tool
Workpiece
Tool penetration
(depth of cut)
Relative motion
between tool and
workpiece (cutting speed)
Chip
© rkm2003
Cutting Tools
Requirements
Common materials
Alloying
Types
Tool geometry
sharp edge/strong/hard/tough
shape/size/method of holding
© rkm2003
Types of Tools
Single Point
Multipoint
© rkm2003
Metal Cutting ..
Basics
Features
Essentials
Machine Tools
Different
Classification
Mechanism of Metal Cutting
Cutting Tools
Requirements
Tool Materials
Types of tools
© rkm2003
Geometry of Single Point Tool..
Tool Signature
8 – 14 – 6 – 8 – 8 – 19 – 1
8 – Back Rake Angle
14 – Side Rake Angle
6 – End-relief Angle
8 – Side Relief Angle
8 – End Cutting Edge Angle
19 – Side Cutting Edge Angle
1 – Nose Radius
© rkm2003
Geometry of Single Point Tool..
RH & LH Tool
Right hand tool Left hand tool
Side cutting
Edge
Side cutting
Edge
© rkm2003
Orthogonal and Oblique
Cutting
Orthogonal cutting Oblique cutting
Cutting edge
at 90°
Machined
Motion of
W orkpiece
Motion of
W orkpiece
Chip Chip
Tool
Tool
Cutting edge
inclined
© rkm2003
Types of Chips
Built-up
edge
Tool
Workpiece
Chip
Chip
Continuous
chip
Discontinuous
chip
© rkm2003
Types of Chips ..
Workpiece material
Tool geometry
Cutting conditions
• Continuous Chip – chip breaker
• Discontinuous Chip
• Chip with Built-up Edge
© rkm2003
Thermal Aspects in
Machining
Heat generated in cutting operation
depends:
Rate of Cutting
cutting conditions
Workpiece material
effects:
1.Tool
2.Workpiece
3.Machine tool
• Surface
• accuracy
© rkm2003
Thermal Aspects in Machining..
Distribution of Heat
heat generated in machining
operation
chips+tool+workpiece+environment
Q = Q1 + Q2 + Q3 + Q4
Q1=heat taken away by the chips
Q2=heat conducted in to tool
Q3=heat conducted in to workpiece
Q4=heat dissipated in environment
© rkm2003
Thermal Aspects in Machining..
Distribution of Heat..
Heat dissipation
• depends on cutting speed
Cutting Speed v
%Heat
Tool 10%
Work 10%
Chips 80%
To keep cutting
zone temperature
low
Cooling
Cutting Fluid
© rkm2003
Cutting Fluids
absorb and carry away the heat
cool the workpiece and tool.
reduce the friction
wash away the chips.
carry away the built-up edges
formed.
give very fine surface finish
prevent corrosion
© rkm2003
Operating Conditions
Conditions (motions) required for
metal cutting to take place
Operating or Cutting Conditions
Cutting Speed v – m/s
Feed f – mm/s or mm/rev or
mm/min
Depth of Cut d – mm
Material Removal Rate MRR – m3/s
Machining/Cutting Time
© rkm2003
Tool Life
Wear of sharp edge dull tool
time between two successive
resharpenings
Time for which tool cuts effectively
Influencing Factors
1. Operating/cutting
conditions
2. Workpiece material
3. Tool material
4. Geometry of tool
5. Use of Coolant
© rkm2003
Tool Life ..
Cutting Speed (v)
tool life (T)
log v
log T
θ
Intercept (log C)
Slope (n)
1
2
0
Taylor’s
Expression
or
Tool Life
Equation
© rkm2003
Tool Life..
Taylor’s Expression
vT n
=C
v = Cutting Speed (m/min)
T = Tool Life (min)
n, C are constants. C = Intercept
n = Slope of line
21
21
loglog
loglog
tan
TT
vv
n
−
−
== θ
© rkm2003
Tool Life..
Typical n & C VALUES
Work
material
Tool
material
n C
Steel
HSS 0.1-0.16 160-190
Carbide 0.18-0.2 220-290
Cast Iron
HSS 0.08-0.1 100-180
Carbide 0.2-0.28 250-325
© rkm2003
Tool Life..
Effect of depth of cut and feed on tool
life
log v
log f
log d
log T
d
v
θ1
θ1 > θ2 > θ3
θ2
f
θ3
CdfvT nnn
=21
© rkm2003
Machinability
Ease of machining
• Tool life
• Cutting Speed
• Force/power
• Accuracy/finish
A relative measure
•Cutting Forces/power
•specific cutting speed – CS for
tool life T
© rkm2003
Machinability ..
Machinability= (vt /vs) x 100%
vs – specific CS for standard material
vt – specific CS for test material
Machinability is affected by
• Condition of machine/tool
• Cutting conditions
• Type of operation
• work material
© rkm2003
EXAMPLE 4.1
While machining carbon steel by a tungsten
based steel tool, tool life of 50 minutes
was observed when machined with a
cutting speed of 100 m/min. Determine
(a) General Taylor’s tool life equation and
(b) tool life for a cutting speed of
80 m/min. Assume n = 0.09.
Work material: carbon steel
Tool material: tungsten based tool steel
© rkm2003
EXAMPLE 4.1 ..
Solution
Given: v =100 m/min, T =50 min, n =0.09
Taylor’s Eqn. vT n
=C
or Log v + n log T = log C
or Log 100+ 0.09 log 50 = log C
or C = 142.20
Hence: vT 0.09=142.2
© rkm2003
EXAMPLE 4.1 ..
Solution
(b)
Given: vT 0.09=142.2, v = 80 m/min,
T = ?
80 .T 0.09=142.2
or T= 596.57 min
EXAMPLES
Example 4.3 A carbide-cutting tool
when machined with mild steel
workpiece material at a cutting speed of
50 m/min lasted for 100 minutes.
Determine the life of the tool when the
cutting speed is increased by 25%. At
what speed the tool is to be used to get
a tool life of 180 minute. Assume n =
0.26 in the Taylor’s expression.
EXAMPLES
Solution: Given data: v1 = 50 m/min,
T1 = 100 min, n = 0.26
For 20% higher speed
v2 = 1.25v1 = 62.5 m/min
We know that v1 T1^n = v2 T2^n
Substituting the values, we get
T2 = 42.39 minutes
EXAMPLES
(b) Let v3 be the cutting speed for tool
life of 180-min.
We know that
v1T1^n = v3T3^n
Substituting the values, we get
v3 = 42.91 m/min
EXAMPLES
Example 4.4 In assessing
machinability of different workpiece
materials, the following data were
obtained during machining:
Work mat Tool life Cutting speed
A 25 100
10 150
B 40 200
20 250
EXAMPLES
Estimate the relative machinability,
considering material A as standard material
and tool life as cutting speed of 50 m/min as
criteria.
Solution Consider material A
V1=100 m/min. t1=25 min V2=150 m/min
t2=10 min.
We know that
log V + n log t = log C
EXAMPLES
Substituting we get
log 100 + n log 25 = log C
log 150 + n log 10 = log C
Solving equations (1) and (2), we get
n = 0.43 and C = 403.55
Hence, tool life equation is V t0.43 = 403.55
EXAMPLES
To find speed at t = 50 min.
Substitute t = 50 min equation (3) we get
V60= 75 m/min.
Repeating the same procedure for material B
we get
n=0.33 ,C=631 and V60 = 173.53 m/min.
Relative machinability = [V60 for test material
/ V60 for standard material] × 100
= [173.53/75] × 100
= 231.37%

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Theoryofmetalcutting 130628042955-phpapp02

  • 1. © rkm2003 Theory of Metal Cutting Chapter 4
  • 3. © rkm2003 Machining or Metal Cutting Removing unwanted material Cutting/chipping/machining/ metal cutting To get desired Shape Size Surface finish
  • 4. © rkm2003 Typical Machining Example (a) RawMaterial Unwanted material to be removed (b) Finished Product Changing shape/size/finish
  • 5. © rkm2003 Metal Cutting: features Closer dimensional accuracy Surface texture/finish Economical Complex shape Size
  • 6. © rkm2003 Metal Cutting: features Material loss (~50%) Scarcity of materials Special equipment Skilled operators Time required All materials cannot be machined
  • 7. © rkm2003 Essentials of Metal Cutting Operation • Machine Tool • Cutting Tool • Method • Operator A typical Cutting Tool
  • 8. © rkm2003 Machine Tool Machine used for metal cutting provision for holding workpiece provision for holding tool relative motion between them providing power/energy
  • 9. © rkm2003 Typical Machine tool Ram Tool Workpiece Vise Base v Table f or d Tool head d or f Column
  • 10. © rkm2003 Different Machine Tools Type of surface – flat/circular/complex Metal Cutting Machine Tools Metal Forming Machine Tools
  • 11. © rkm2003 Classification of Machine Tools degree of specialization general/special surface cylidrical/flat motion recipocatory/rotary duty cycle L/M/H automation manual/semi-auto/auto energy conventional/non-conventional
  • 12. Mechanism of Metal Cutting Tool & Workpiece interaction Force Tool Workpiece Tool penetration (depth of cut) Relative motion between tool and workpiece (cutting speed) Chip
  • 13. © rkm2003 Cutting Tools Requirements Common materials Alloying Types Tool geometry sharp edge/strong/hard/tough shape/size/method of holding
  • 14. © rkm2003 Types of Tools Single Point Multipoint
  • 15. © rkm2003 Metal Cutting .. Basics Features Essentials Machine Tools Different Classification Mechanism of Metal Cutting Cutting Tools Requirements Tool Materials Types of tools
  • 16. © rkm2003 Geometry of Single Point Tool.. Tool Signature 8 – 14 – 6 – 8 – 8 – 19 – 1 8 – Back Rake Angle 14 – Side Rake Angle 6 – End-relief Angle 8 – Side Relief Angle 8 – End Cutting Edge Angle 19 – Side Cutting Edge Angle 1 – Nose Radius
  • 17. © rkm2003 Geometry of Single Point Tool.. RH & LH Tool Right hand tool Left hand tool Side cutting Edge Side cutting Edge
  • 18. © rkm2003 Orthogonal and Oblique Cutting Orthogonal cutting Oblique cutting Cutting edge at 90° Machined Motion of W orkpiece Motion of W orkpiece Chip Chip Tool Tool Cutting edge inclined
  • 19. © rkm2003 Types of Chips Built-up edge Tool Workpiece Chip Chip Continuous chip Discontinuous chip
  • 20. © rkm2003 Types of Chips .. Workpiece material Tool geometry Cutting conditions • Continuous Chip – chip breaker • Discontinuous Chip • Chip with Built-up Edge
  • 21. © rkm2003 Thermal Aspects in Machining Heat generated in cutting operation depends: Rate of Cutting cutting conditions Workpiece material effects: 1.Tool 2.Workpiece 3.Machine tool • Surface • accuracy
  • 22. © rkm2003 Thermal Aspects in Machining.. Distribution of Heat heat generated in machining operation chips+tool+workpiece+environment Q = Q1 + Q2 + Q3 + Q4 Q1=heat taken away by the chips Q2=heat conducted in to tool Q3=heat conducted in to workpiece Q4=heat dissipated in environment
  • 23. © rkm2003 Thermal Aspects in Machining.. Distribution of Heat.. Heat dissipation • depends on cutting speed Cutting Speed v %Heat Tool 10% Work 10% Chips 80% To keep cutting zone temperature low Cooling Cutting Fluid
  • 24. © rkm2003 Cutting Fluids absorb and carry away the heat cool the workpiece and tool. reduce the friction wash away the chips. carry away the built-up edges formed. give very fine surface finish prevent corrosion
  • 25. © rkm2003 Operating Conditions Conditions (motions) required for metal cutting to take place Operating or Cutting Conditions Cutting Speed v – m/s Feed f – mm/s or mm/rev or mm/min Depth of Cut d – mm Material Removal Rate MRR – m3/s Machining/Cutting Time
  • 26. © rkm2003 Tool Life Wear of sharp edge dull tool time between two successive resharpenings Time for which tool cuts effectively Influencing Factors 1. Operating/cutting conditions 2. Workpiece material 3. Tool material 4. Geometry of tool 5. Use of Coolant
  • 27. © rkm2003 Tool Life .. Cutting Speed (v) tool life (T) log v log T θ Intercept (log C) Slope (n) 1 2 0 Taylor’s Expression or Tool Life Equation
  • 28. © rkm2003 Tool Life.. Taylor’s Expression vT n =C v = Cutting Speed (m/min) T = Tool Life (min) n, C are constants. C = Intercept n = Slope of line 21 21 loglog loglog tan TT vv n − − == θ
  • 29. © rkm2003 Tool Life.. Typical n & C VALUES Work material Tool material n C Steel HSS 0.1-0.16 160-190 Carbide 0.18-0.2 220-290 Cast Iron HSS 0.08-0.1 100-180 Carbide 0.2-0.28 250-325
  • 30. © rkm2003 Tool Life.. Effect of depth of cut and feed on tool life log v log f log d log T d v θ1 θ1 > θ2 > θ3 θ2 f θ3 CdfvT nnn =21
  • 31. © rkm2003 Machinability Ease of machining • Tool life • Cutting Speed • Force/power • Accuracy/finish A relative measure •Cutting Forces/power •specific cutting speed – CS for tool life T
  • 32. © rkm2003 Machinability .. Machinability= (vt /vs) x 100% vs – specific CS for standard material vt – specific CS for test material Machinability is affected by • Condition of machine/tool • Cutting conditions • Type of operation • work material
  • 33. © rkm2003 EXAMPLE 4.1 While machining carbon steel by a tungsten based steel tool, tool life of 50 minutes was observed when machined with a cutting speed of 100 m/min. Determine (a) General Taylor’s tool life equation and (b) tool life for a cutting speed of 80 m/min. Assume n = 0.09. Work material: carbon steel Tool material: tungsten based tool steel
  • 34. © rkm2003 EXAMPLE 4.1 .. Solution Given: v =100 m/min, T =50 min, n =0.09 Taylor’s Eqn. vT n =C or Log v + n log T = log C or Log 100+ 0.09 log 50 = log C or C = 142.20 Hence: vT 0.09=142.2
  • 35. © rkm2003 EXAMPLE 4.1 .. Solution (b) Given: vT 0.09=142.2, v = 80 m/min, T = ? 80 .T 0.09=142.2 or T= 596.57 min
  • 36. EXAMPLES Example 4.3 A carbide-cutting tool when machined with mild steel workpiece material at a cutting speed of 50 m/min lasted for 100 minutes. Determine the life of the tool when the cutting speed is increased by 25%. At what speed the tool is to be used to get a tool life of 180 minute. Assume n = 0.26 in the Taylor’s expression.
  • 37. EXAMPLES Solution: Given data: v1 = 50 m/min, T1 = 100 min, n = 0.26 For 20% higher speed v2 = 1.25v1 = 62.5 m/min We know that v1 T1^n = v2 T2^n Substituting the values, we get T2 = 42.39 minutes
  • 38. EXAMPLES (b) Let v3 be the cutting speed for tool life of 180-min. We know that v1T1^n = v3T3^n Substituting the values, we get v3 = 42.91 m/min
  • 39. EXAMPLES Example 4.4 In assessing machinability of different workpiece materials, the following data were obtained during machining: Work mat Tool life Cutting speed A 25 100 10 150 B 40 200 20 250
  • 40. EXAMPLES Estimate the relative machinability, considering material A as standard material and tool life as cutting speed of 50 m/min as criteria. Solution Consider material A V1=100 m/min. t1=25 min V2=150 m/min t2=10 min. We know that log V + n log t = log C
  • 41. EXAMPLES Substituting we get log 100 + n log 25 = log C log 150 + n log 10 = log C Solving equations (1) and (2), we get n = 0.43 and C = 403.55 Hence, tool life equation is V t0.43 = 403.55
  • 42. EXAMPLES To find speed at t = 50 min. Substitute t = 50 min equation (3) we get V60= 75 m/min. Repeating the same procedure for material B we get n=0.33 ,C=631 and V60 = 173.53 m/min. Relative machinability = [V60 for test material / V60 for standard material] × 100 = [173.53/75] × 100 = 231.37%