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%
✖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%
✖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 [L_max]			+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%
✖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]			+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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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*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent)))/ln(Depth of Cut)
b = ln(C/(V*(f^a)*(L_max^y)))/ln(d)
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 - (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.
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 - Taylor Tool Life Exponent 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: 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
Maximum Tool Life: 4500 Second --> 4500 Second No Conversion Required
Taylor Tool Life Exponent: 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*(f^a)*(L_max^y)))/ln(d) --> 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 00.007 seconds)

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Created by Kumar Siddhant

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

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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< Taylor's Theory Calculators

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

LaTeX 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 Intercept given Cutting Velocity and Tool Life

LaTeX 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 Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions

LaTeX 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

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

Taylor's Exponent of Depth of Cut Formula

LaTeX Go

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*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent)))/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 (V), Feed Rate (f), Taylor's Exponent for Feed Rate in Taylors Theory (a), Maximum Tool Life (L_max), Taylor Tool Life Exponent (y) & Depth of Cut (d) 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*(f^a)*(L_max^y)))/ln(d) or 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 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, 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 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*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent)))/ln(Depth of Cut). To calculate Taylor's Exponent of Depth of Cut, you need Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent for Feed Rate in Taylors Theory (a), Maximum Tool Life (L_max), Taylor Tool Life Exponent (y) & Depth of Cut (d). 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, Maximum Tool Life, Taylor Tool Life Exponent & 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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