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Metal cutting and CNC
machine
Mr. Rajeev Gupta
Asst.Prof.
Department of Mechanical Engineering
Turning Operations
L a t h e
Turning Operations
 Machine Tool – LATHE
 Job (workpiece) – rotary motion
 Tool – linear motions
“Mother of Machine Tools “
Cylindrical and flat surfaces
Some Typical Lathe Jobs
Turning/Drilling/Grooving/
Threading/Knurling/Facing...
The Lathe
Head stock
Spindle
Feed rod
Bed
Compound rest
and slide(swivels)
Carriage
Apron
selector
Feed change
gearbox
Spindle
speed
Lead screw
Cross slide
Dead center
Tool post
Guide ways
Tailstock quill
Tailstock
Handle
The Lathe
Bed
Head
Stock Tail Stock
CarriageFeed/Lead
Types of Lathes
 Engine Lathe
 Speed Lathe
 Bench Lathe
 Tool Room Lathe
 Special Purpose Lathe
 Gap Bed Lathe
…
Size of Lathe
Workpiece Length Swing
Workholding Devices
 Equipment used to hold
 Workpiece – fixtures
 Tool - jigs
Securely HOLD or Support while machining
Chucks
Three jaw Four Jaw
WorkholdingDevices..
Centers
Workpiece
Headstock center
(Live Centre)
Tailstock center
(Dead Centre)
WorkholdingDevices..
Operating/Cutting Conditions
1. Cutting Speed v
2. Feed f
3. Depth of Cut d
Workpiece
Tool
Chip
Tool post
S
peripheral
speed (m/min)
N (rev/min)
D
Operating Conditions
Workpiece
Tool
Chip
Tool post
S
peripheral
speed
(m/min)
N (rev/min)
D
NDSspeedperipheral
D



rotation1intraveltoolrelative
Cutting Speed
The Peripheral Speed of Workpiece past the
Cutting Tool
=Cutting Speed
OperatingConditions..
m/min
1000
ND
v


D – Diameter (mm)
N – Revolutions per Minute (rpm)
Feed
f – the distance the tool advances for every
rotation of workpiece (mm/rev)
OperatingConditions..
f
Feed
DD 21
Depth of Cut
perpendicular distance between machined
surface and uncut surface of the
Workpiece
d = (D1 – D2)/2 (mm)
OperatingConditions..
d Depth
of Cut
DD 21
3 Operating Conditions
Chip
Machined
surface
Workpiece
Depth of cutTool
Chuck
N
Feed (f )
Cutting speed
Depth of cut (d)
Selection of ..
 Workpiece Material
 Tool Material
 Tool signature
 Surface Finish
 Accuracy
 Capability of Machine Tool
OperatingConditions..
Material Removal Rate
MRR
Volume of material removed in one
revolution MRR =  D d f mm3
• Job makes N revolutions/min
MRR =  D d f N (mm3/min)
 In terms of v MRR is given by
MRR = 1000 v d f (mm3/min)
OperationsonLathe..
MRR
dimensional consistency by
substituting the units
OperationsonLathe..
MRR: D d f N 
(mm)(mm)(mm/rev)(rev/min)
= mm3/min
Operations on Lathe
Turning
Facing
knurling
Grooving
Parting
Chamfering
Taper turning
Drilling
Threading
OperationsonLathe..
Turning
Cylindrical job
OperationsonLathe..
Turning ..
Cylindrical job
Cutting
speed
Chip
Workpiece
Depth of cut (d)
Depth of cut
Tool
FeedChuck
N
Machined
surface
OperationsonLathe..
Turning ..
 Excess Material is
removed to reduce
Diameter
Cutting Tool: Turning Tool
a depth of cut of 1 mm will
reduce diameter by 2 mm
OperationsonLathe..
Facing
Flat Surface/Reduce length
Depth of
cut
Feed
WorkpieceChuck
Cutting
speed
Tool
d
Machined
Face
OperationsonLathe..
Facing ..
 machine end of job  Flat surface
or to Reduce Length of Job
 Turning Tool
 Feed: in direction perpendicular to
workpiece axis
Length of Tool Travel = radius of
workpiece
 Depth of Cut: in direction parallel to
workpiece axis
OperationsonLathe..
Facing ..OperationsonLathe..
Eccentric Turning
Axis of job
Ax
Eccentric peg
(to be turned)
4-jaw
chuck
Cutting
speed
OperationsonLathe..
Knurling
 Produce rough textured surface
 For Decorative and/or Functional Purpose
 Knurling Tool
 A Forming Process
 MRR~0
OperationsonLathe..
Knurling
OperationsonLathe..
Knurling tool
Tool post
Feed
Cutting
speed
Movement
for depth
Knurled surface
Knurling ..OperationsonLathe..
Grooving
Produces a Groove on
workpiece
Shape of tool  shape of
groove
Carried out using Grooving
Tool  A form tool
Also called Form Turning
OperationsonLathe..
Grooving ..
OperationsonLathe..
Shape produced
by form tool Groove
Grooving
tool
Feed or
depth of cutForm tool
Parting
 Cutting workpiece into Two
 Similar to grooving
 Parting Tool
 Hogging – tool rides over – at slow feed
 Coolant use
OperationsonLathe..
Parting ..OperationsonLathe..
FeedParting tool
ChamferingOperationsonLathe..
Chamfering tool
Feed
Chamfer
Chamfering
 Beveling sharp machined edges
 Similar to form turning
 Chamfering tool – 45°
 To
○ Avoid Sharp Edges
○ Make Assembly Easier
○ Improve Aesthetics
OperationsonLathe..
Taper Turning
 Taper:
 C
B
A L
D
90°
 2D1
OperationsonLathe..
L
DD
2
tan 21 

Taper Turning..
Methods
 Form Tool
 Swiveling Compound Rest
OperationsonLathe..
Conicity
L
DD
K 21 

Taper Turning ..
By Form Tool
OperationsonLathe..

TaperWorkpiece
Straight
cutting edge
Direction
of feed
Form
tool
Taper Turning ,,
By Compound Rest
OperationsonLathe..
Face plate
Dog

Tail stock quill
Tail stock
Mandrel
Direction of feed
Compound rest
Slide
Compound rest
Hand crank
Tool post &
Tool holder
Cross slide
Drilling
Drill – cutting tool – held in TS – feed from
TS
OperationsonLathe..
Feed
Drill
Quill
clamp moving
quill
Tail stock clamp
Tail stock
Process Sequence
 How to make job from raw material 45
long x 30 dia.?
20 dia
40
15
OperationsonLathe..
Steps:
•Operations
•Sequence
•Tools
•Process
Process Sequence ..
Possible Sequences
 TURNING - FACING - KNURLING
 TURNING - KNURLING - FACING
 FACING - TURNING - KNURLING
 FACING - KNURLING - TURNING
 KNURLING - FACING - TURNING
 KNURLING - TURNING – FACING
What is an Optimal Sequence?
OperationsonLathe..
X
X
X
X
Machining Time
Turning Time
 Job length Lj mm
 Feed f mm/rev
 Job speed N rpm
 f N mm/min
min
Nf
L
t
j

OperationsonLathe..
Manufacturing Time
Manufacturing Time
= Machining Time
+ Setup Time
+ Moving Time
+ Waiting Time
OperationsonLathe..
Example
A mild steel rod having 50 mm diameter and
500 mm length is to be turned on a lathe.
Determine the machining time to reduce
the rod to 45 mm in one pass when
cutting speed is 30 m/min and a feed of
0.7 mm/rev is used.
Example
calculate the required spindle speed as: N =
191 rpm
m/min
1000
ND
v


Given data: D = 50 mm, Lj = 500 mm
v = 30 m/min, f = 0.7 mm/rev
Substituting the values of v and D in
Example
Can a machine has speed of
191 rpm?
Machining time:
min
Nf
L
t
j

t = 500 / (0.7191)
 = 3.74 minutes
Example
 Determine the angle at which the
compound rest would be swiveled
for cutting a taper on a workpiece
having a length of 150 mm and
outside diameter 80 mm. The
smallest diameter on the tapered
end of the rod should be 50 mm
and the required length of the
tapered portion is 80 mm.
Example
 Given data: D1 = 80 mm, D2 = 50
mm, Lj = 80 mm (with usual
notations)
tan  = (80-50) / 280
 or  = 10.620
 The compound rest should be
swiveled at 10.62o
Example
 A 150 mm long 12 mm diameter
stainless steel rod is to be reduced in
diameter to 10 mm by turning on a
lathe in one pass. The spindle rotates
at 500 rpm, and the tool is traveling at
an axial speed of 200 mm/min.
Calculate the cutting speed, material
removal rate and the time required for
machining the steel rod.
Example
 Given data: Lj = 150 mm, D1 = 12
mm, D2 = 10 mm, N = 500 rpm
 Using Equation (1)
 v = 12500 / 1000
 = 18.85 m/min.
 depth of cut = d = (12 – 10)/2 = 1
mm
Example
 feed rate = 200 mm/min, we get the feed f in
mm/rev by dividing feed rate by spindle rpm.
That is
 f = 200/500 = 0.4 mm/rev
 From Equation (4),
 MRR = 3.142120.41500 = 7538.4
mm3/min
 from Equation (8),
 t = 150/(0.4500) = 0.75 min.
Example
 Calculate the time required to
machine a workpiece 170 mm
long, 60 mm diameter to 165 mm
long 50 mm diameter. The
workpiece rotates at 440 rpm,
feed is 0.3 mm/rev and maximum
depth of cut is 2 mm. Assume
total approach and overtravel
distance as 5 mm for turning
operation.
Example
 Given data: Lj = 170 mm, D1 = 60 mm, D2 =
50 mm, N = 440 rpm, f = 0.3 mm/rev, d= 2
mm,
 How to calculate the machining time when
there is more than one operation?
Example
 Time for Turning:
 Total length of tool travel = job length + length of approach
and overtravel
 L = 170 + 5 = 175 mm
 Required depth to be cut = (60 – 50)/2 = 5 mm
 Since maximum depth of cut is 2 mm, 5 mm cannot be cut
in one pass. Therefore, we calculate number of cuts or
passes required.
 Number of cuts required = 5/2 = 2.5 or 3 (since cuts
cannot be a fraction)
 Machining time for one cut = L / (fN)
 Total turning time = [L / (fN)]  Number of cuts
 = [175/(0.3440)]  3= 3.97
min.
Example
 Time for facing:
 Now, the diameter of the job is
reduced to 50 mm. Recall that in case
of facing operations, length of tool
travel is equal to half the diameter of
the job. That is, l = 25 mm.
Substituting in equation 8, we get
 t = 25/(0.3440)
 = 0.18 min.
Example
 Total time:
 Total time for machining = Time
for Turning + Time for Facing
 = 3.97 + 0.18
 = 4.15 min.
 The reader should find out the total
machining time if first facing is
done.
Example
 From a raw material of 100 mm length
and 10 mm diameter, a component
having length 100 mm and diameter 8
mm is to be produced using a cutting
speed of 31.41 m/min and a feed rate
of 0.7 mm/revolution. How many times
we have to resharpen or regrind, if
1000 work-pieces are to be produced.
In the taylor’s expression use constants
as n = 1.2 and C = 180
Example
 Given D =10 mm , N = 1000 rpm,
v = 31.41 m/minute
 From Taylor’s tool life expression,
we have vT n = C
 Substituting the values we get,
 (31.40)(T)1.2 = 180
 or T = 4.28 min
Example
 Machining time/piece = L / (fN)
 = 100 / (0.71000)
 = 0.142 minute.
 Machining time for 1000 work-pieces
= 1000  0.142 = 142.86 min
 Number of resharpenings = 142.86/
4.28
 = 33.37 or 33 resharpenings
Example
 6: While turning a carbon steel cylinder bar of
length 3 m and diameter 0.2 m at a feed rate of 0.5
mm/revolution with an HSS tool, one of the two
available cutting speeds is to be selected. These two
cutting speeds are 100 m/min and 57 m/min. The
tool life corresponding to the speed of 100 m/min is
known to be 16 minutes with n=0.5. The cost of
machining time, setup time and unproductive time
together is Rs.1/sec. The cost of one tool re-
sharpening is Rs.20.
 Which of the above two cutting speeds should be
selected from the point of view of the total cost of
producing this part? Prove your argument.
Example
 Given T1 = 16 minute, v1 = 100 m/minute, v2 = 57
m/minute, D = 200mm, l = 300 mm, f = 0.5 mm/rev
 Consider Speed of 100 m/minute
 N1 = (1000  v) / (  D) = (1000100) / (200) =
159.2 rpm
 t1 = l / (fN) = 3000 / (0.5 159.2) = 37.7 minute
 Tool life corresponding to speed of 100 m/minute is
16 minute.
 Number of resharpening required = 37.7 / 16 = 2.35

 or number of resharpenings = 2
Example
 Total cost =
 Machining cost + Cost of resharpening
 Number of resharpening
 = 37.7601+ 202
 = Rs.2302
Example
 Consider Speed of 57 m/minute
 Using Taylor’s expression T2 = T1  (v1 /
v2)2 with usual notations
 = 16  (100/57)2 = 49 minute
 Repeating the same procedure we get t2 = 66
minute, number of reshparpening=1 and total
cost = Rs. 3980.

 The cost is less when speed = 100 m/minute.
Hence, select 100 m/minute.
Example
 Write the process sequence to be used
for manufacturing the component
from raw material of 175 mm length
and 60 mm diameter
Mr. Rajeev Gupta
Asst.Prof.
Department of Mechanical Engineering

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Lathe Machine Metal Cutting

  • 1. Metal cutting and CNC machine Mr. Rajeev Gupta Asst.Prof. Department of Mechanical Engineering
  • 3. Turning Operations  Machine Tool – LATHE  Job (workpiece) – rotary motion  Tool – linear motions “Mother of Machine Tools “ Cylindrical and flat surfaces
  • 4. Some Typical Lathe Jobs Turning/Drilling/Grooving/ Threading/Knurling/Facing...
  • 5. The Lathe Head stock Spindle Feed rod Bed Compound rest and slide(swivels) Carriage Apron selector Feed change gearbox Spindle speed Lead screw Cross slide Dead center Tool post Guide ways Tailstock quill Tailstock Handle
  • 6. The Lathe Bed Head Stock Tail Stock CarriageFeed/Lead
  • 7. Types of Lathes  Engine Lathe  Speed Lathe  Bench Lathe  Tool Room Lathe  Special Purpose Lathe  Gap Bed Lathe …
  • 8. Size of Lathe Workpiece Length Swing
  • 9. Workholding Devices  Equipment used to hold  Workpiece – fixtures  Tool - jigs Securely HOLD or Support while machining
  • 10. Chucks Three jaw Four Jaw WorkholdingDevices..
  • 11. Centers Workpiece Headstock center (Live Centre) Tailstock center (Dead Centre) WorkholdingDevices..
  • 12. Operating/Cutting Conditions 1. Cutting Speed v 2. Feed f 3. Depth of Cut d Workpiece Tool Chip Tool post S peripheral speed (m/min) N (rev/min) D
  • 13. Operating Conditions Workpiece Tool Chip Tool post S peripheral speed (m/min) N (rev/min) D NDSspeedperipheral D    rotation1intraveltoolrelative
  • 14. Cutting Speed The Peripheral Speed of Workpiece past the Cutting Tool =Cutting Speed OperatingConditions.. m/min 1000 ND v   D – Diameter (mm) N – Revolutions per Minute (rpm)
  • 15. Feed f – the distance the tool advances for every rotation of workpiece (mm/rev) OperatingConditions.. f Feed DD 21
  • 16. Depth of Cut perpendicular distance between machined surface and uncut surface of the Workpiece d = (D1 – D2)/2 (mm) OperatingConditions.. d Depth of Cut DD 21
  • 17. 3 Operating Conditions Chip Machined surface Workpiece Depth of cutTool Chuck N Feed (f ) Cutting speed Depth of cut (d)
  • 18. Selection of ..  Workpiece Material  Tool Material  Tool signature  Surface Finish  Accuracy  Capability of Machine Tool OperatingConditions..
  • 19. Material Removal Rate MRR Volume of material removed in one revolution MRR =  D d f mm3 • Job makes N revolutions/min MRR =  D d f N (mm3/min)  In terms of v MRR is given by MRR = 1000 v d f (mm3/min) OperationsonLathe..
  • 20. MRR dimensional consistency by substituting the units OperationsonLathe.. MRR: D d f N  (mm)(mm)(mm/rev)(rev/min) = mm3/min
  • 23. Turning .. Cylindrical job Cutting speed Chip Workpiece Depth of cut (d) Depth of cut Tool FeedChuck N Machined surface OperationsonLathe..
  • 24. Turning ..  Excess Material is removed to reduce Diameter Cutting Tool: Turning Tool a depth of cut of 1 mm will reduce diameter by 2 mm OperationsonLathe..
  • 25. Facing Flat Surface/Reduce length Depth of cut Feed WorkpieceChuck Cutting speed Tool d Machined Face OperationsonLathe..
  • 26. Facing ..  machine end of job  Flat surface or to Reduce Length of Job  Turning Tool  Feed: in direction perpendicular to workpiece axis Length of Tool Travel = radius of workpiece  Depth of Cut: in direction parallel to workpiece axis OperationsonLathe..
  • 28. Eccentric Turning Axis of job Ax Eccentric peg (to be turned) 4-jaw chuck Cutting speed OperationsonLathe..
  • 29. Knurling  Produce rough textured surface  For Decorative and/or Functional Purpose  Knurling Tool  A Forming Process  MRR~0 OperationsonLathe..
  • 32. Grooving Produces a Groove on workpiece Shape of tool  shape of groove Carried out using Grooving Tool  A form tool Also called Form Turning OperationsonLathe..
  • 33. Grooving .. OperationsonLathe.. Shape produced by form tool Groove Grooving tool Feed or depth of cutForm tool
  • 34. Parting  Cutting workpiece into Two  Similar to grooving  Parting Tool  Hogging – tool rides over – at slow feed  Coolant use OperationsonLathe..
  • 37. Chamfering  Beveling sharp machined edges  Similar to form turning  Chamfering tool – 45°  To ○ Avoid Sharp Edges ○ Make Assembly Easier ○ Improve Aesthetics OperationsonLathe..
  • 38. Taper Turning  Taper:  C B A L D 90°  2D1 OperationsonLathe.. L DD 2 tan 21  
  • 39. Taper Turning.. Methods  Form Tool  Swiveling Compound Rest OperationsonLathe.. Conicity L DD K 21  
  • 40. Taper Turning .. By Form Tool OperationsonLathe..  TaperWorkpiece Straight cutting edge Direction of feed Form tool
  • 41. Taper Turning ,, By Compound Rest OperationsonLathe.. Face plate Dog  Tail stock quill Tail stock Mandrel Direction of feed Compound rest Slide Compound rest Hand crank Tool post & Tool holder Cross slide
  • 42. Drilling Drill – cutting tool – held in TS – feed from TS OperationsonLathe.. Feed Drill Quill clamp moving quill Tail stock clamp Tail stock
  • 43. Process Sequence  How to make job from raw material 45 long x 30 dia.? 20 dia 40 15 OperationsonLathe.. Steps: •Operations •Sequence •Tools •Process
  • 44. Process Sequence .. Possible Sequences  TURNING - FACING - KNURLING  TURNING - KNURLING - FACING  FACING - TURNING - KNURLING  FACING - KNURLING - TURNING  KNURLING - FACING - TURNING  KNURLING - TURNING – FACING What is an Optimal Sequence? OperationsonLathe.. X X X X
  • 45. Machining Time Turning Time  Job length Lj mm  Feed f mm/rev  Job speed N rpm  f N mm/min min Nf L t j  OperationsonLathe..
  • 46. Manufacturing Time Manufacturing Time = Machining Time + Setup Time + Moving Time + Waiting Time OperationsonLathe..
  • 47. Example A mild steel rod having 50 mm diameter and 500 mm length is to be turned on a lathe. Determine the machining time to reduce the rod to 45 mm in one pass when cutting speed is 30 m/min and a feed of 0.7 mm/rev is used.
  • 48. Example calculate the required spindle speed as: N = 191 rpm m/min 1000 ND v   Given data: D = 50 mm, Lj = 500 mm v = 30 m/min, f = 0.7 mm/rev Substituting the values of v and D in
  • 49. Example Can a machine has speed of 191 rpm? Machining time: min Nf L t j  t = 500 / (0.7191)  = 3.74 minutes
  • 50. Example  Determine the angle at which the compound rest would be swiveled for cutting a taper on a workpiece having a length of 150 mm and outside diameter 80 mm. The smallest diameter on the tapered end of the rod should be 50 mm and the required length of the tapered portion is 80 mm.
  • 51. Example  Given data: D1 = 80 mm, D2 = 50 mm, Lj = 80 mm (with usual notations) tan  = (80-50) / 280  or  = 10.620  The compound rest should be swiveled at 10.62o
  • 52. Example  A 150 mm long 12 mm diameter stainless steel rod is to be reduced in diameter to 10 mm by turning on a lathe in one pass. The spindle rotates at 500 rpm, and the tool is traveling at an axial speed of 200 mm/min. Calculate the cutting speed, material removal rate and the time required for machining the steel rod.
  • 53. Example  Given data: Lj = 150 mm, D1 = 12 mm, D2 = 10 mm, N = 500 rpm  Using Equation (1)  v = 12500 / 1000  = 18.85 m/min.  depth of cut = d = (12 – 10)/2 = 1 mm
  • 54. Example  feed rate = 200 mm/min, we get the feed f in mm/rev by dividing feed rate by spindle rpm. That is  f = 200/500 = 0.4 mm/rev  From Equation (4),  MRR = 3.142120.41500 = 7538.4 mm3/min  from Equation (8),  t = 150/(0.4500) = 0.75 min.
  • 55. Example  Calculate the time required to machine a workpiece 170 mm long, 60 mm diameter to 165 mm long 50 mm diameter. The workpiece rotates at 440 rpm, feed is 0.3 mm/rev and maximum depth of cut is 2 mm. Assume total approach and overtravel distance as 5 mm for turning operation.
  • 56. Example  Given data: Lj = 170 mm, D1 = 60 mm, D2 = 50 mm, N = 440 rpm, f = 0.3 mm/rev, d= 2 mm,  How to calculate the machining time when there is more than one operation?
  • 57. Example  Time for Turning:  Total length of tool travel = job length + length of approach and overtravel  L = 170 + 5 = 175 mm  Required depth to be cut = (60 – 50)/2 = 5 mm  Since maximum depth of cut is 2 mm, 5 mm cannot be cut in one pass. Therefore, we calculate number of cuts or passes required.  Number of cuts required = 5/2 = 2.5 or 3 (since cuts cannot be a fraction)  Machining time for one cut = L / (fN)  Total turning time = [L / (fN)]  Number of cuts  = [175/(0.3440)]  3= 3.97 min.
  • 58. Example  Time for facing:  Now, the diameter of the job is reduced to 50 mm. Recall that in case of facing operations, length of tool travel is equal to half the diameter of the job. That is, l = 25 mm. Substituting in equation 8, we get  t = 25/(0.3440)  = 0.18 min.
  • 59. Example  Total time:  Total time for machining = Time for Turning + Time for Facing  = 3.97 + 0.18  = 4.15 min.  The reader should find out the total machining time if first facing is done.
  • 60. Example  From a raw material of 100 mm length and 10 mm diameter, a component having length 100 mm and diameter 8 mm is to be produced using a cutting speed of 31.41 m/min and a feed rate of 0.7 mm/revolution. How many times we have to resharpen or regrind, if 1000 work-pieces are to be produced. In the taylor’s expression use constants as n = 1.2 and C = 180
  • 61. Example  Given D =10 mm , N = 1000 rpm, v = 31.41 m/minute  From Taylor’s tool life expression, we have vT n = C  Substituting the values we get,  (31.40)(T)1.2 = 180  or T = 4.28 min
  • 62. Example  Machining time/piece = L / (fN)  = 100 / (0.71000)  = 0.142 minute.  Machining time for 1000 work-pieces = 1000  0.142 = 142.86 min  Number of resharpenings = 142.86/ 4.28  = 33.37 or 33 resharpenings
  • 63. Example  6: While turning a carbon steel cylinder bar of length 3 m and diameter 0.2 m at a feed rate of 0.5 mm/revolution with an HSS tool, one of the two available cutting speeds is to be selected. These two cutting speeds are 100 m/min and 57 m/min. The tool life corresponding to the speed of 100 m/min is known to be 16 minutes with n=0.5. The cost of machining time, setup time and unproductive time together is Rs.1/sec. The cost of one tool re- sharpening is Rs.20.  Which of the above two cutting speeds should be selected from the point of view of the total cost of producing this part? Prove your argument.
  • 64. Example  Given T1 = 16 minute, v1 = 100 m/minute, v2 = 57 m/minute, D = 200mm, l = 300 mm, f = 0.5 mm/rev  Consider Speed of 100 m/minute  N1 = (1000  v) / (  D) = (1000100) / (200) = 159.2 rpm  t1 = l / (fN) = 3000 / (0.5 159.2) = 37.7 minute  Tool life corresponding to speed of 100 m/minute is 16 minute.  Number of resharpening required = 37.7 / 16 = 2.35   or number of resharpenings = 2
  • 65. Example  Total cost =  Machining cost + Cost of resharpening  Number of resharpening  = 37.7601+ 202  = Rs.2302
  • 66. Example  Consider Speed of 57 m/minute  Using Taylor’s expression T2 = T1  (v1 / v2)2 with usual notations  = 16  (100/57)2 = 49 minute  Repeating the same procedure we get t2 = 66 minute, number of reshparpening=1 and total cost = Rs. 3980.   The cost is less when speed = 100 m/minute. Hence, select 100 m/minute.
  • 67. Example  Write the process sequence to be used for manufacturing the component from raw material of 175 mm length and 60 mm diameter
  • 68. Mr. Rajeev Gupta Asst.Prof. Department of Mechanical Engineering