Constant for Machining Operation given Minimum Production Cost Calculator

✖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%
✖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 [T]			+10% -10%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [T_ref]			+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 Operation given Minimum Production Cost [K]

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Constant for Machining Operation given Minimum Production Cost

Formula

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

Example

`"186.0331m"=(("2.14"/"0.00283")-"300s")*"0.76m/s"*(1-"0.125")/(("3000s"/"60s")^"0.125")`

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Constant for Machining Operation given Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
K = ((C_pr/M)-t_s)*V_ref*(1-n)/((T/T_ref)^n)
This formula uses 8 Variables

Variables Used

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".
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Tool Life: 3000 Second --> 3000 Second No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = ((C_pr/M)-t_s)*V_ref*(1-n)/((T/T_ref)^n) --> ((2.14/0.00283)-300)*0.76*(1-0.125)/((3000/60)^0.125)

Evaluating ... ...

K = 186.033090757264

STEP 3: Convert Result to Output's Unit

186.033090757264 Meter --> No Conversion Required

FINAL ANSWER

186.033090757264 ≈ 186.0331 Meter <-- Constant For Machining Condition

(Calculation completed in 00.020 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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< 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

Constant for Machining Operation given Minimum Production Cost Formula

Significance of Constant for Machining Operation

Constant for Machining Operation is the measure of accurate length the cutting tool works on a workpiece. Its value for different Machining Operation such as Drilling, Milling is different even for similar jobs. It helps in determining the actual time for the tool engagement resulting in precise calculation of Tool Life.

How to Calculate Constant for Machining Operation given Minimum Production Cost?

Constant for Machining Operation given Minimum Production Cost calculator uses 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) to calculate the Constant For Machining Condition, The Constant for Machining Operation given Minimum Production Cost is a method to determine the actual length for which the cutting tool is engaged with the workpiece when the production cost of a component is minimum. Constant For Machining Condition is denoted by K symbol.

How to calculate Constant for Machining Operation given Minimum Production Cost using this online calculator? To use this online calculator for Constant for Machining Operation given Minimum Production Cost, enter 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), Tool Life (T) & Reference Tool Life (T_ref) and hit the calculate button. Here is how the Constant for Machining Operation given Minimum Production Cost calculation can be explained with given input values -> 186.0331 = ((2.14/0.00283)-300)*0.76*(1-0.125)/((3000/60)^0.125).

FAQ

What is Constant for Machining Operation given Minimum Production Cost?

The Constant for Machining Operation given Minimum Production Cost is a method to determine the actual length for which the cutting tool is engaged with the workpiece when the production cost of a component is minimum and is represented as K = ((C_pr/M)-t_s)*V_ref*(1-n)/((T/T_ref)^n) or 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). 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, 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 is the Tool Life of the tool obtained in the reference Machining Condition.

How to calculate Constant for Machining Operation given Minimum Production Cost?

The Constant for Machining Operation given Minimum Production Cost is a method to determine the actual length for which the cutting tool is engaged with the workpiece when the production cost of a component is minimum is calculated using 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). To calculate Constant for Machining Operation given Minimum Production Cost, you need 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), Tool Life (T) & Reference Tool Life (T_ref). With our tool, you need to enter the respective value for Production Cost of Each Component, Machining and Operating Rate, Setup Time, Reference Cutting Velocity, Taylor's Tool Life Exponent, Tool Life & Reference Tool Life 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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