Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Calculator

✖Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.ⓘ Taylor's Constant [C]			+10% -10%
✖Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Feed Rate is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate [f]			+10% -10%
✖Taylor's Exponent For Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.ⓘ Taylor's Exponent For Feed Rate in Taylors Theory [a]			+10% -10%
✖Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life in Taylors Theory [L]			+10% -10%
✖Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor Tool Life Exponent [y]			+10% -10%
✖Taylor's Exponent For Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.ⓘ Taylor's Exponent For Depth of Cut [b]			+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 for given Taylor's Tool Life, Cutting Velocity and Intercept [d]

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Formula

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Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept

Formula

`"d" = ("C"/("V"*"f"^"a"*"L"^"y"))^(1/"b")`

Example

`"0.015931m"=("85.13059"/("0.8333330m/s"*("0.70mm/rev")^"0.2"*("1.18h")^".8466244"))^(1/"0.24")`

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Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent For Depth of Cut)
d = (C/(V*f^a*L^y))^(1/b)
This formula uses 8 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.
Taylor's Constant - Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.
Cutting Velocity - (Measured in Meter per Second) - Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Taylor's Exponent For Feed Rate in Taylors Theory - Taylor's Exponent For Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.
Tool Life in Taylors Theory - (Measured in Second) - Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Taylor Tool Life Exponent - Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
Taylor's Exponent For Depth of Cut - Taylor's Exponent For Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.

STEP 1: Convert Input(s) to Base Unit

Taylor's Constant: 85.13059 --> No Conversion Required
Cutting Velocity: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Taylor's Exponent For Feed Rate in Taylors Theory: 0.2 --> No Conversion Required
Tool Life in Taylors Theory: 1.18 Hour --> 4248 Second (Check conversion here)
Taylor Tool Life Exponent: 0.8466244 --> No Conversion Required
Taylor's Exponent For Depth of Cut: 0.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (C/(V*f^a*L^y))^(1/b) --> (85.13059/(0.833333*0.0007^0.2*4248^0.8466244))^(1/0.24)

Evaluating ... ...

d = 0.0159309379133196

STEP 3: Convert Result to Output's Unit

0.0159309379133196 Meter --> No Conversion Required

FINAL ANSWER

0.0159309379133196 ≈ 0.015931 Meter <-- Depth of Cut

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Tool Life and Tool Wear » Taylor's Theory » Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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National Institute of Technology (NIT), Srinagar

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< 10+ Taylor's Theory Calculators

Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life

Go Taylor Tool Life Exponent = ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))/ln(Tool Life in Taylors Theory)

Taylor's Exponent of Depth of Cut

Go Taylor's Exponent For Depth of Cut = ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent)))/ln(Depth of Cut)

Taylor's Exponent of Feed

Go Taylor's Exponent For Feed Rate in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity*Depth of Cut^Taylor's Exponent For Depth of Cut*Maximum Tool Life^Taylor Tool Life Exponent))/ln(Feed Rate)

Taylor's Tool Life given Cutting Velocity and Taylor's Intercept

Go Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent)

Feed given Taylor's Tool Life, Cutting Velocity, and Intercept

Go Feed Rate = (Taylor's Constant/(Cutting Velocity*(Depth of Cut^Taylor's Exponent For Depth of Cut)*(Tool Life in Taylors Theory^Taylor Tool Life Exponent)))^(1/Taylor's Exponent For Feed Rate in Taylors Theory)

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept

Go Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent For Depth of Cut)

Taylor's Intercept given Cutting Velocity and Tool Life

Go Taylor's Constant = Cutting Velocity*(Tool Life in Taylors Theory^Taylor Tool Life Exponent)*(Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)

Taylor's Tool Life Exponent given Cutting Velocity and Tool Life

Go Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory

Taylor's Exponent if ratios of Cutting Velocities, Tool Lives are given in two machining conditions

Go Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives)

Taylor's Tool Life given Cutting Velocity and Intercept

Go Taylor's Tool Life = (Taylor's Constant/Cutting Velocity)^(1/Taylor Tool Life Exponent)

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Formula

Modified Taylor's Tool Life Equation and Effects of Depth of Cut on Tool Life

The modified Taylor's Tool Life equation is given as:
VTⁿf^ad^b=C
The main effects of Depth of Cut that can be seen on Tool Life:
1. Changing the depth of the cut doesn't effect tool life greatly.
2. Small depths of cut result in friction when cutting the hardened layer of a workpiece. Thus
tool life is shortened.

How to Calculate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept calculator uses Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent For Depth of Cut) to calculate the Depth of Cut, The Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept is Given is a method to determine the maximum Depth of Cut that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity. Depth of Cut is denoted by d symbol.

How to calculate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept using this online calculator? To use this online calculator for Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept, enter Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent For Feed Rate in Taylors Theory (a), Tool Life in Taylors Theory (L), Taylor Tool Life Exponent (y) & Taylor's Exponent For Depth of Cut (b) and hit the calculate button. Here is how the Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept calculation can be explained with given input values -> 0.015773 = (85.13059/(0.833333*0.0007^0.2*4248^0.8466244))^(1/0.24).

FAQ

What is Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

The Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept is Given is a method to determine the maximum Depth of Cut that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity and is represented as d = (C/(V*f^a*L^y))^(1/b) or Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent For Depth of Cut). Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating), Feed Rate is defined as the tool's distance travelled during one spindle revolution, Taylor's Exponent For Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life, Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear & Taylor's Exponent For Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.

How to calculate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

The Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept is Given is a method to determine the maximum Depth of Cut that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity is calculated using Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent For Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent For Depth of Cut). To calculate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept, you need Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent For Feed Rate in Taylors Theory (a), Tool Life in Taylors Theory (L), Taylor Tool Life Exponent (y) & Taylor's Exponent For Depth of Cut (b). With our tool, you need to enter the respective value for Taylor's Constant, Cutting Velocity, Feed Rate, Taylor's Exponent For Feed Rate in Taylors Theory, Tool Life in Taylors Theory, Taylor Tool Life Exponent & Taylor's Exponent For Depth of Cut and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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