Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone Calculator

✖Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.ⓘ Fraction of Heat Conducted into The Workpiece [Γ]			+10% -10%
✖The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.ⓘ Rate of Heat Generation in Primary Shear Zone [P_s]			+10% -10%
✖Density of Work Piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work Piece [ρ_wp]			+10% -10%
✖The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.ⓘ Specific Heat Capacity of Workpiece [C]			+10% -10%
✖Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).ⓘ Cutting Speed [V_cut]			+10% -10%
✖Average Temperature Rise is defined as the actual amount of increase in the temperature.ⓘ Average Temperature Rise [θ_avg]			+10% -10%
✖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.ⓘ Depth of Cut [d_cut]			+10% -10%

✖Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.ⓘ Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone [a_c]

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Formula

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Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone

Formula

a c = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot V cut \cdot θ avg \cdot d cut}

Example

0.25 mm = \frac{(1 - 0.1) \cdot 1380 W}{7200 kg/m³ \cdot 502 J/(kg*K) \cdot 2 m/s \cdot 274.9 °C \cdot 2.5 mm}

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Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
a_c = ((1-Γ)*P_s)/(ρ_wp*C*V_cut*θ_avg*d_cut)
This formula uses 8 Variables

Variables Used

Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Fraction of Heat Conducted into The Workpiece - Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.
Rate of Heat Generation in Primary Shear Zone - (Measured in Watt) - The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.
Density of Work Piece - (Measured in Kilogram per Cubic Meter) - Density of Work Piece is the mass per unit volume ratio of the material of workpiece.
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.
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).
Average Temperature Rise - (Measured in Kelvin) - Average Temperature Rise is defined as the actual amount of increase in the temperature.
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.

STEP 1: Convert Input(s) to Base Unit

Fraction of Heat Conducted into The Workpiece: 0.1 --> No Conversion Required
Rate of Heat Generation in Primary Shear Zone: 1380 Watt --> 1380 Watt No Conversion Required
Density of Work Piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K No Conversion Required
Cutting Speed: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Average Temperature Rise: 274.9 Degree Celsius --> 274.9 Kelvin (Check conversion here)
Depth of Cut: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = ((1-Γ)*P_s)/(ρ_wp*C*V_cut*θ_avg*d_cut) --> ((1-0.1)*1380)/(7200*502*2*274.9*0.0025)

Evaluating ... ...

a_c = 0.000250000362319366

STEP 3: Convert Result to Output's Unit

0.000250000362319366 Meter -->0.250000362319366 Millimeter (Check conversion here)

FINAL ANSWER

0.250000362319366 ≈ 0.25 Millimeter <-- Undeformed Chip Thickness

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Temperatures in Metal Cutting » Temperature Rise » Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone

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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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< Temperature Rise Calculators

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)

Average Temperature Rise of Material under Primary Deformation Zone

Go Average Temperature Rise = ((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*Depth of Cut)

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone Formula

What is Undeformed Chip Thickness?

The undeformed chip thickness in milling is defined as the distance between two consecutive cut surfaces. It varies during cutting and is measured in the direction perpendicular to the preceding cut surface.

How to Calculate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone calculator uses 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) to calculate the Undeformed Chip Thickness, The Undeformed Chip Thickness given Average Temperature rise of material under Primary Shear Zone is defined as the distance between two consecutive cut surfaces. Undeformed Chip Thickness is denoted by a_c symbol.

How to calculate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone using this online calculator? To use this online calculator for Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone, enter Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Average Temperature Rise (θ_avg) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone calculation can be explained with given input values -> 249.9022 = ((1-0.1)*1380)/(7200*502*2*274.9*0.0025).

FAQ

What is Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

The Undeformed Chip Thickness given Average Temperature rise of material under Primary Shear Zone is defined as the distance between two consecutive cut surfaces and is represented as a_c = ((1-Γ)*P_s)/(ρ_wp*C*V_cut*θ_avg*d_cut) or 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). Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip, The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining, Density of Work Piece is the mass per unit volume ratio of the material of workpiece, The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius, Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute), Average Temperature Rise is defined as the actual amount of increase in the temperature & 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.

How to calculate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone?

The Undeformed Chip Thickness given Average Temperature rise of material under Primary Shear Zone is defined as the distance between two consecutive cut surfaces is calculated using 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). To calculate Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone, you need Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Average Temperature Rise (θ_avg) & Depth of Cut (d_cut). With our tool, you need to enter the respective value for 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 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 Undeformed Chip Thickness?

In this formula, Undeformed Chip Thickness uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

Undeformed Chip Thickness = Rate of Heat Generation 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)

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