Taylor's Exponent of Depth of Cut 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%
✖The Cutting Velocity or Tangential Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity or Tangential Velocity [V_ct]			+10% -10%
✖Feed Rate in Taylors Theory is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate in Taylors Theory [f_rate]			+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%
✖Maximum Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Maximum Tool Life [T_max]			+10% -10%
✖Taylor Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor Tool Life Exponent in Taylors Theory [y]			+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%

✖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 of Depth of Cut [b]

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Formula

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Taylor's Exponent of Depth of Cut

Formula

`"b" = ln("C"/("V"_{"ct"}*("f"_{"rate"}^"a")*("T"_{"max"}^"y")))/ln("d"_{"cut"})`

Example

`"0.239999"=ln("85.13059"/("0.8333330m/s"*(("0.70mm/rev")^"0.2")*(("4500s")^".8466244")))/ln("0.013m")`

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Taylor's Exponent of Depth of Cut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Exponent For Depth of Cut = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent in Taylors Theory)))/ln(Depth of Cut)
b = ln(C/(V_ct*(f_rate^a)*(T_max^y)))/ln(d_cut)
This formula uses 1 Functions, 8 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
Taylor's Constant - Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.
Cutting Velocity or Tangential Velocity - (Measured in Meter per Second) - The Cutting Velocity or Tangential Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).
Feed Rate in Taylors Theory - (Measured in Meter Per Revolution) - Feed Rate in Taylors Theory 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.
Maximum Tool Life - (Measured in Second) - Maximum Tool Life 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 in Taylors Theory - Taylor Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.
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

Taylor's Constant: 85.13059 --> No Conversion Required
Cutting Velocity or Tangential Velocity: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Feed Rate in Taylors Theory: 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
Maximum Tool Life: 4500 Second --> 4500 Second No Conversion Required
Taylor Tool Life Exponent in Taylors Theory: 0.8466244 --> No Conversion Required
Depth of Cut: 0.013 Meter --> 0.013 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = ln(C/(V_ct*(f_rate^a)*(T_max^y)))/ln(d_cut) --> ln(85.13059/(0.833333*(0.0007^0.2)*(4500^0.8466244)))/ln(0.013)

Evaluating ... ...

b = 0.239998834629592

STEP 3: Convert Result to Output's Unit

0.239998834629592 --> No Conversion Required

FINAL ANSWER

0.239998834629592 ≈ 0.239999 <-- Taylor's Exponent For 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 » Taylor's Exponent of Depth of Cut

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

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

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

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

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

Taylor's Intercept given Cutting Velocity and Tool Life

Go Taylor's Constant = Cutting Velocity or Tangential Velocity*(Tool Life in Taylors Theory^Taylor Tool Life Exponent in Taylors Theory)*(Feed Rate in Taylors Theory^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 or Tangential 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 in Taylors Theory = (-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 or Tangential Velocity)^(1/Taylor Tool Life Exponent in Taylors Theory)

Taylor's Exponent of Depth of Cut 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 Taylor's Exponent of Depth of Cut?

Taylor's Exponent of Depth of Cut calculator uses Taylor's Exponent For Depth of Cut = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent in Taylors Theory)))/ln(Depth of Cut) to calculate the Taylor's Exponent For Depth of Cut, Taylor's exponent of Depth of Cut is a method to determine the experimental exponent for Depth of Cut after practical data of tool machining have been tabulated. Taylor's Exponent For Depth of Cut is denoted by b symbol.

How to calculate Taylor's Exponent of Depth of Cut using this online calculator? To use this online calculator for Taylor's Exponent of Depth of Cut, enter Taylor's Constant (C), Cutting Velocity or Tangential Velocity (V_ct), Feed Rate in Taylors Theory (f_rate), Taylor's Exponent For Feed Rate in Taylors Theory (a), Maximum Tool Life (T_max), Taylor Tool Life Exponent in Taylors Theory (y) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Taylor's Exponent of Depth of Cut calculation can be explained with given input values -> 0.239999 = ln(85.13059/(0.833333*(0.0007^0.2)*(4500^0.8466244)))/ln(0.013).

FAQ

What is Taylor's Exponent of Depth of Cut?

Taylor's exponent of Depth of Cut is a method to determine the experimental exponent for Depth of Cut after practical data of tool machining have been tabulated and is represented as b = ln(C/(V_ct*(f_rate^a)*(T_max^y)))/ln(d_cut) or Taylor's Exponent For Depth of Cut = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent in Taylors Theory)))/ln(Depth of Cut). Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, The Cutting Velocity or Tangential Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating), Feed Rate in Taylors Theory 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, Maximum Tool Life 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 in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear & 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 Taylor's Exponent of Depth of Cut?

Taylor's exponent of Depth of Cut is a method to determine the experimental exponent for Depth of Cut after practical data of tool machining have been tabulated is calculated using Taylor's Exponent For Depth of Cut = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent in Taylors Theory)))/ln(Depth of Cut). To calculate Taylor's Exponent of Depth of Cut, you need Taylor's Constant (C), Cutting Velocity or Tangential Velocity (V_ct), Feed Rate in Taylors Theory (f_rate), Taylor's Exponent For Feed Rate in Taylors Theory (a), Maximum Tool Life (T_max), Taylor Tool Life Exponent in Taylors Theory (y) & Depth of Cut (d_cut). With our tool, you need to enter the respective value for Taylor's Constant, Cutting Velocity or Tangential Velocity, Feed Rate in Taylors Theory, Taylor's Exponent For Feed Rate in Taylors Theory, Maximum Tool Life, Taylor Tool Life Exponent in Taylors Theory & 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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