Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool Calculator

✖Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.ⓘ Time Proportion of Cutting Edge Engagement [Q]			+10% -10%
✖The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.ⓘ Cost of changing each Tool [C_CT]			+10% -10%
✖The Cost of a Tool is simply the cost of one tool being used for machining.ⓘ Cost of a Tool [C_t]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%
✖Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate [M]			+10% -10%

✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool [T]

⎘ Copy

👎

Formula

✖

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Formula

`"T" = "Q"*("C"_{"CT"}+"C"_{"t"})*(1-"n")/("n"*"M")`

Example

`"0.308379min"="0.5"*("25"+"100")*(1-"0.032362")/("0.032362"*"101")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)
T = Q*(C_CT+C_t)*(1-n)/(n*M)
This formula uses 6 Variables

Variables Used

Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Time Proportion of Cutting Edge Engagement - Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Cost of changing each Tool - The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

STEP 1: Convert Input(s) to Base Unit

Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Cost of changing each Tool: 25 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
Taylor's Tool Life Exponent: 0.032362 --> No Conversion Required
Machining and Operating Rate: 101 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = Q*(C_CT+C_t)*(1-n)/(n*M) --> 0.5*(25+100)*(1-0.032362)/(0.032362*101)

Evaluating ... ...

T = 18.5027467736577

STEP 3: Convert Result to Output's Unit

18.5027467736577 Second -->0.308379112894294 Minute (Check conversion here)

FINAL ANSWER

0.308379112894294 ≈ 0.308379 Minute <-- Tool Life

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Minimum Machining Cost » Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 14 Minimum Machining Cost Calculators

Taylor's Exponent for Minimum Machining Cost given Tool Life

Go Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion of Cutting Edge Engagement)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion of Cutting Edge Engagement))

Tool Life for minimum cost given Minimum Production Cost

Go Tool Life = Reference Tool Life*((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Reference Tool Life given Minimum Production Cost

Go Reference Tool Life = Tool Life/((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Non-Productive Time per component given Minimum Production Cost

Go Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))

Machining and Operating Rate given Minimum Production Cost

Go Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Reference Cutting Velocity given Minimum Production Cost

Go Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*((Production Cost of Each Component/Machining and Operating Rate)-Setup Time))

Minimum Production Cost per Component

Go Production Cost of Each Component = Machining and Operating Rate*(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Constant for Machining Operation given Minimum Production Cost

Go Constant For Machining Condition = ((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Go Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)

Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost

Go Cost of changing each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion of Cutting Edge Engagement*(1-Taylor's Tool Life Exponent)))-Cost of a Tool

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost

Go Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate)

Tool Life of One Tool for Minimum Machining Cost

Go Tool Life = Time Proportion of Cutting Edge Engagement*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent

Taylor's Exponent for Minimum Machining Cost per component

Go Taylor's Tool Life Exponent = 1-(Machining Time for Minimum Cost*Machining and Operating Rate/Machining and Operating Cost of Each Product)

Machining Time per component for Minimum Machining Cost

Go Machining Time for Minimum Cost = Machining and Operating Cost of Each Product*(1-Taylor's Tool Life Exponent)/Machining and Operating Rate

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool Formula

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool?

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool calculator uses Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate) to calculate the Tool Life, The Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when the Cost of Machining is minimum for a given Tool Life of Cutting Tool. Tool Life is denoted by T symbol.

How to calculate Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool using this online calculator? To use this online calculator for Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool, enter Time Proportion of Cutting Edge Engagement (Q), Cost of changing each Tool (C_CT), Cost of a Tool (C_t), Taylor's Tool Life Exponent (n) & Machining and Operating Rate (M) and hit the calculate button. Here is how the Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool calculation can be explained with given input values -> 0.00514 = 0.5*(25+100)*(1-0.032362)/(0.032362*101).

FAQ

What is Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool?

The Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when the Cost of Machining is minimum for a given Tool Life of Cutting Tool and is represented as T = Q*(C_CT+C_t)*(1-n)/(n*M) or Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate). Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece, The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour, The Cost of a Tool is simply the cost of one tool being used for machining, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

How to calculate Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool?

The Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when the Cost of Machining is minimum for a given Tool Life of Cutting Tool is calculated using Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate). To calculate Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool, you need Time Proportion of Cutting Edge Engagement (Q), Cost of changing each Tool (C_CT), Cost of a Tool (C_t), Taylor's Tool Life Exponent (n) & Machining and Operating Rate (M). With our tool, you need to enter the respective value for Time Proportion of Cutting Edge Engagement, Cost of changing each Tool, Cost of a Tool, Taylor's Tool Life Exponent & Machining and Operating Rate 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 Tool Life?

In this formula, Tool Life uses Time Proportion of Cutting Edge Engagement, Cost of changing each Tool, Cost of a Tool, Taylor's Tool Life Exponent & Machining and Operating Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tool Life = Time Proportion of Cutting Edge Engagement*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent

Home

FREE PDFs

🔍 Search