Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone)
dcut = Pf/(C*ρwork piece*Vcutting*ac*θf)
This formula uses 7 Variables
Variables Used
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Rate of Heat Gen in Secondary Shear Zone - (Measured in Watt) - The Rate of Heat Gen in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip-tool contact region.
Specific Heat Capacity of Workpiece - (Measured in Joule per Kilogram per K) - The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Density of work piece - (Measured in Kilogram per Cubic Meter) - The Density of work piece is the mass per unit volume ratio of the material of workpiece.
Cutting Speed - (Measured in Meter per Second) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Average Temp Rise of Chip in Secondary Shear Zone - (Measured in Kelvin) - The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
STEP 1: Convert Input(s) to Base Unit
Rate of Heat Gen in Secondary Shear Zone: 400 Watt --> 400 Watt No Conversion Required
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K No Conversion Required
Density of work piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter No Conversion Required
Cutting Speed: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Undeformed Chip Thickness: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dcut = Pf/(C*ρwork piece*Vcutting*acf) --> 400/(502*7200*2*0.00025*88.5)
Evaluating ... ...
dcut = 0.00250098163529185
STEP 3: Convert Result to Output's Unit
0.00250098163529185 Meter -->2.50098163529185 Millimeter (Check conversion here)
FINAL ANSWER
2.50098163529185 2.500982 Millimeter <-- Depth of Cut
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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18 Temperatures in Metal Cutting Calculators

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone
Go Undeformed Chip Thickness = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Average Temperature Rise*Depth of Cut)
Density of Material using Average Temperature Rise of material under Primary Shear Zone
Go Density of work piece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Specific Heat given Average Temperature Rise of Material under Primary Shear Zone
Go Specific Heat Capacity of Workpiece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Average Temperature Rise*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone
Go Cutting Speed = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut)
Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone
Go Depth of Cut = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Average Temperature Rise)
Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation
Go Undeformed Chip Thickness = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Average Temp Rise of Chip in Secondary Shear Zone*Depth of Cut)
Specific Heat using Average Temperature Rise of Chip from Secondary Deformation
Go Specific Heat Capacity of Workpiece = Rate of Heat Gen in Secondary Shear Zone/(Average Temp Rise of Chip in Secondary Shear Zone*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation
Go Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone)
Density of Material using Average Temperature rise of Chip from Secondary Deformation
Go Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation
Go Cutting Speed = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Average Temp Rise of Chip in Secondary Shear Zone*Undeformed Chip Thickness*Depth of Cut)
Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone
Go Length of Heat Source per Chip Thickness = Thermal Number/((Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2)
Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone
Go Thermal Number = Length of Heat Source per Chip Thickness*((Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2)
Rate of Heat Conduction into Workpiece given Total Rate of Heat Generation
Go Rate of Heat Conduction into the Workpiece = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Transportation by Chip-Rate of Heat Conduction into the Tool
Rate of Heat Transportation by Chip given Total Rate of Heat Generation
Go Rate of Heat Transportation by Chip = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Conduction into the Workpiece-Rate of Heat Conduction into the Tool
Rate of Heat Conduction into Tool given Total Rate of Heat Generation
Go Rate of Heat Conduction into the Tool = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Transportation by Chip-Rate of Heat Conduction into the Workpiece
Initial Workpiece Temperature using Maximum Temperature in Secondary Deformation Zone
Go Initial Workpiece Temperature = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Secondary Deformation-Temperature Rise in Primary Deformation
Maximum temperature in secondary deformation zone
Go Max Temp in Chip in Secondary Deformation Zone = Temperature Rise in Secondary Deformation+Temperature Rise in Primary Deformation+Initial Workpiece Temperature
Rate of Energy Consumption using Rate of Heat Generation during Machining
Go Rate of Energy Consumption during Machining = Rate of Heat Generation in Primary Shear Zone+Rate of Heat Gen in Secondary Shear Zone

Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation Formula

Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone)
dcut = Pf/(C*ρwork piece*Vcutting*ac*θf)

What is depth of cut and how it is determined?

It is the total amount of metal removed per pass of the cutting tool. It is expressed in mm. It can vary and depend upon the type of tool and work material. Mathematically, it is half of the difference in diameters. The depth of cut (t) is the perpendicular distance measured from the machined surface to the uncut surface of the workpiece.

How to Calculate Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation?

Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation calculator uses Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone) to calculate the Depth of Cut, The Depth of cut using Average Temperature rise of chip from Secondary Deformation is the total amount of metal removed per pass of the cutting tool. Depth of Cut is denoted by dcut symbol.

How to calculate Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation using this online calculator? To use this online calculator for Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation, enter Rate of Heat Gen in Secondary Shear Zone (Pf), Specific Heat Capacity of Workpiece (C), Density of work piece work piece), Cutting Speed (Vcutting), Undeformed Chip Thickness (ac) & Average Temp Rise of Chip in Secondary Shear Zone f) and hit the calculate button. Here is how the Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation calculation can be explained with given input values -> 2500.982 = 400/(502*7200*2*0.00025*88.5) .

FAQ

What is Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation?
The Depth of cut using Average Temperature rise of chip from Secondary Deformation is the total amount of metal removed per pass of the cutting tool and is represented as dcut = Pf/(C*ρwork piece*Vcutting*acf) or Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone). The Rate of Heat Gen in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip-tool contact region, The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius, The Density of work piece is the mass per unit volume ratio of the material of workpiece, Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute), Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces & The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
How to calculate Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation?
The Depth of cut using Average Temperature rise of chip from Secondary Deformation is the total amount of metal removed per pass of the cutting tool is calculated using Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone). To calculate Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation, you need Rate of Heat Gen in Secondary Shear Zone (Pf), Specific Heat Capacity of Workpiece (C), Density of work piece work piece), Cutting Speed (Vcutting), Undeformed Chip Thickness (ac) & Average Temp Rise of Chip in Secondary Shear Zone f). With our tool, you need to enter the respective value for Rate of Heat Gen in Secondary Shear Zone, Specific Heat Capacity of Workpiece, Density of work piece, Cutting Speed, Undeformed Chip Thickness & Average Temp Rise of Chip in Secondary Shear Zone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Depth of Cut?
In this formula, Depth of Cut uses Rate of Heat Gen in Secondary Shear Zone, Specific Heat Capacity of Workpiece, Density of work piece, Cutting Speed, Undeformed Chip Thickness & Average Temp Rise of Chip in Secondary Shear Zone. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Depth of Cut = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Average Temperature Rise)
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