Constant for Machining Operation given Production Cost per Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))
K = (Cp-M*NPT)/(M*1/V+(1/(Lref*Vref^(1/n)))*(M*tc+Ct)*(V^((1-n)/n)))
This formula uses 10 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.
Non-Productive Time - (Measured in Second) - Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Reference Tool Life - (Measured in Second) - Reference Tool Life is the tool life of the tool obtained in the reference machining condition.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition.
Taylors Tool Life Exponent - Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Cost of A Tool - The Cost of A Tool is simply the cost of one tool being used for machining.
STEP 1: Convert Input(s) to Base Unit
Production Cost of Each Component: 5.655323 --> No Conversion Required
Machining And Operating Rate: 0.00283 --> No Conversion Required
Non-Productive Time: 20 Minute --> 1200 Second (Check conversion ​here)
Cutting Velocity: 0.28 Meter per Second --> 0.28 Meter per Second No Conversion Required
Reference Tool Life: 2 Minute --> 120 Second (Check conversion ​here)
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required
Taylors Tool Life Exponent: 0.125 --> No Conversion Required
Time to Change One Tool: 5 Minute --> 300 Second (Check conversion ​here)
Cost of A Tool: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = (Cp-M*NPT)/(M*1/V+(1/(Lref*Vref^(1/n)))*(M*tc+Ct)*(V^((1-n)/n))) --> (5.655323-0.00283*1200)/(0.00283*1/0.28+(1/(120*0.76^(1/0.125)))*(0.00283*300+100)*(0.28^((1-0.125)/0.125)))
Evaluating ... ...
K = 203.068050537538
STEP 3: Convert Result to Output's Unit
203.068050537538 Meter --> No Conversion Required
FINAL ANSWER
203.068050537538 203.0681 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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National Institute of Technology (NIT), Srinagar
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Production Cost per Component Calculators

Machining and Operating Rate given Production Cost per Component
​ LaTeX ​ Go Machining And Operating Rate = (Production Cost of Each Component-((Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))))/(Non-Productive Time+Constant For Machining Condition/Cutting Velocity+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*Time to Change One Tool*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))
Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation
​ LaTeX ​ Go Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))
Nonproductive Time given Production Cost per Component
​ LaTeX ​ Go Setup Time = (Production Cost of Each Component-((Machining And Operating Rate*Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylors Tool Life Exponent))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/(Reference Tool Life*Cutting Velocity))))/Machining And Operating Rate
Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost
​ LaTeX ​ Go Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Cost of Changing Each Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))

Constant for Machining Operation given Production Cost per Component Formula

​LaTeX ​Go
Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))
K = (Cp-M*NPT)/(M*1/V+(1/(Lref*Vref^(1/n)))*(M*tc+Ct)*(V^((1-n)/n)))

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 Production Cost per Component?

Constant for Machining Operation given Production Cost per Component calculator uses Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))) to calculate the Constant For Machining Condition, The Constant for Machining Operation given Production Cost per Component is a method to determine the actual length for which the cutting tool is engaged with the workpiece in terms of cost it took to produce one component. Constant For Machining Condition is denoted by K symbol.

How to calculate Constant for Machining Operation given Production Cost per Component using this online calculator? To use this online calculator for Constant for Machining Operation given Production Cost per Component, enter Production Cost of Each Component (Cp), Machining And Operating Rate (M), Non-Productive Time (NPT), Cutting Velocity (V), Reference Tool Life (Lref), Reference Cutting Velocity (Vref), Taylors Tool Life Exponent (n), Time to Change One Tool (tc) & Cost of A Tool (Ct) and hit the calculate button. Here is how the Constant for Machining Operation given Production Cost per Component calculation can be explained with given input values -> 203.0681 = (5.655323-0.00283*1200)/(0.00283*1/0.28+(1/(120*0.76^(1/0.125)))*(0.00283*300+100)*(0.28^((1-0.125)/0.125))).

FAQ

What is Constant for Machining Operation given Production Cost per Component?
The Constant for Machining Operation given Production Cost per Component is a method to determine the actual length for which the cutting tool is engaged with the workpiece in terms of cost it took to produce one component and is represented as K = (Cp-M*NPT)/(M*1/V+(1/(Lref*Vref^(1/n)))*(M*tc+Ct)*(V^((1-n)/n))) or Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors 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, Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Reference Tool Life is the tool life of the tool obtained in the reference machining condition, Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition, Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear, Time to Change One Tool is the measure of time it takes to change one tool during machining & The Cost of A Tool is simply the cost of one tool being used for machining.
How to calculate Constant for Machining Operation given Production Cost per Component?
The Constant for Machining Operation given Production Cost per Component is a method to determine the actual length for which the cutting tool is engaged with the workpiece in terms of cost it took to produce one component is calculated using Constant For Machining Condition = (Production Cost of Each Component-Machining And Operating Rate*Non-Productive Time)/(Machining And Operating Rate*1/Cutting Velocity+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))). To calculate Constant for Machining Operation given Production Cost per Component, you need Production Cost of Each Component (Cp), Machining And Operating Rate (M), Non-Productive Time (NPT), Cutting Velocity (V), Reference Tool Life (Lref), Reference Cutting Velocity (Vref), Taylors Tool Life Exponent (n), Time to Change One Tool (tc) & Cost of A Tool (Ct). With our tool, you need to enter the respective value for Production Cost of Each Component, Machining And Operating Rate, Non-Productive Time, Cutting Velocity, Reference Tool Life, Reference Cutting Velocity, Taylors Tool Life Exponent, Time to Change One Tool & Cost of A Tool 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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