Tool Life for minimum cost given Minimum Production Cost Calculator

✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [T_ref]			+10% -10%
✖Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.ⓘ Production Cost of Each Component [C_pr]			+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%
✖Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.ⓘ Setup Time [t_s]			+10% -10%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+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%
✖Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Metre".ⓘ Constant For Machining Condition [K]			+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 for minimum cost given Minimum Production Cost [T]

⎘ Copy

👎

Formula

✖

Tool Life for minimum cost given Minimum Production Cost

Formula

`"T" = "T"_{"ref"}*(((("C"_{"pr"}/"M")-"t"_{"s"})*"V"_{"ref"}*(1-"n")/"K")^(1/"n"))`

Example

`"2999.999s"="60s"*(((("2.14"/"0.00283")-"300s")*"0.76m/s"*(1-"0.125")/"186.0331m")^(1/"0.125"))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Tool Life for minimum cost given Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
T = T_ref*((((C_pr/M)-t_s)*V_ref*(1-n)/K)^(1/n))
This formula uses 8 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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Production Cost of Each Component - Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Constant For Machining Condition - (Measured in Meter) - Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Metre".

STEP 1: Convert Input(s) to Base Unit

Reference Tool Life: 60 Second --> 60 Second No Conversion Required
Production Cost of Each Component: 2.14 --> No Conversion Required
Machining and Operating Rate: 0.00283 --> No Conversion Required
Setup Time: 300 Second --> 300 Second No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Constant For Machining Condition: 186.0331 Meter --> 186.0331 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = T_ref*((((C_pr/M)-t_s)*V_ref*(1-n)/K)^(1/n)) --> 60*((((2.14/0.00283)-300)*0.76*(1-0.125)/186.0331)^(1/0.125))

Evaluating ... ...

T = 2999.99880760136

STEP 3: Convert Result to Output's Unit

2999.99880760136 Second --> No Conversion Required

FINAL ANSWER

2999.99880760136 ≈ 2999.999 Second <-- 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 for minimum cost given Minimum Production Cost

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))

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))

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))))

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 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 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 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 for minimum cost given Minimum Production Cost Formula

Advantages of Constant-Cutting-Speed Operation

Constant Surface Speed provides at least four advantages:
1. It simplifies programming.
2. It provides a consistent workpiece finish.
3. It optimizes Tool Life - Tools will always machine at the appropriate speed.
4. It optimizes Machining Time - Cutting conditions will always be properly set, which translates to minimal machining time.

How to Calculate Tool Life for minimum cost given Minimum Production Cost?

Tool Life for minimum cost given Minimum Production Cost calculator uses 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)) to calculate the Tool Life, The Tool Life for minimum cost given Minimum Production Cost is a method to determine the time for which a tool can last when machining under a Constant Surface Speed condition when operating for the minimum cost of production. Tool Life is denoted by T symbol.

How to calculate Tool Life for minimum cost given Minimum Production Cost using this online calculator? To use this online calculator for Tool Life for minimum cost given Minimum Production Cost, enter Reference Tool Life (T_ref), Production Cost of Each Component (C_pr), Machining and Operating Rate (M), Setup Time (t_s), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n) & Constant For Machining Condition (K) and hit the calculate button. Here is how the Tool Life for minimum cost given Minimum Production Cost calculation can be explained with given input values -> 2999.999 = 60*((((2.14/0.00283)-300)*0.76*(1-0.125)/186.0331)^(1/0.125)).

FAQ

What is Tool Life for minimum cost given Minimum Production Cost?

The Tool Life for minimum cost given Minimum Production Cost is a method to determine the time for which a tool can last when machining under a Constant Surface Speed condition when operating for the minimum cost of production and is represented as T = T_ref*((((C_pr/M)-t_s)*V_ref*(1-n)/K)^(1/n)) or 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 is the Tool Life of the tool obtained in the reference Machining Condition, Production Cost of Each Component is the total amount that it takes to produce a single component from scratch, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Metre".

How to calculate Tool Life for minimum cost given Minimum Production Cost?

The Tool Life for minimum cost given Minimum Production Cost is a method to determine the time for which a tool can last when machining under a Constant Surface Speed condition when operating for the minimum cost of production is calculated using 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)). To calculate Tool Life for minimum cost given Minimum Production Cost, you need Reference Tool Life (T_ref), Production Cost of Each Component (C_pr), Machining and Operating Rate (M), Setup Time (t_s), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n) & Constant For Machining Condition (K). With our tool, you need to enter the respective value for Reference Tool Life, Production Cost of Each Component, Machining and Operating Rate, Setup Time, Reference Cutting Velocity, Taylor's Tool Life Exponent & Constant For Machining Condition and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search