Constant for Machining Operation given Minimum Production Cost Calculator

✖Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.ⓘ Production Cost of Each Component [C_p]			+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 [R]			+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 refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.ⓘ Reference Cutting Velocity [V]			+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 refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.ⓘ Reference Tool Life [L]			+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 "Meter".ⓘ Constant for Machining Operation given Minimum Production Cost [K]

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Formula

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Constant for Machining Operation given Minimum Production Cost

Formula

K = (\frac{C p}{R} - t s) \cdot V \cdot \frac{1 - n}{{(\frac{T}{L})}^{n}}

Example

168.9469 m = (\frac{5000}{7} - 300 s) \cdot 0.76 m/s \cdot \frac{1 - 0.125}{{(\frac{3000 s}{60 s})}^{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_p/R-t_s)*V*(1-n)/((T/L)^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 "Meter".
Production Cost of Each Component - Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.
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 refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.
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 refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.

STEP 1: Convert Input(s) to Base Unit

Production Cost of Each Component: 5000 --> No Conversion Required
Machining and Operating Rate: 7 --> 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_p/R-t_s)*V*(1-n)/((T/L)^n) --> (5000/7-300)*0.76*(1-0.125)/((3000/60)^0.125)

Evaluating ... ...

K = 168.946948749017

STEP 3: Convert Result to Output's Unit

168.946948749017 Meter --> No Conversion Required

FINAL ANSWER

168.946948749017 ≈ 168.9469 Meter <-- Constant For Machining Condition

(Calculation completed in 00.004 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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< Minimum Machining Cost Calculators

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))))

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)))

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)

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_p), Machining and Operating Rate (R), Setup Time (t_s), Reference Cutting Velocity (V), Taylor's Tool Life Exponent (n), Tool Life (T) & Reference Tool Life (L) 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 -> 168.9469 = (5000/7-300)*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_p/R-t_s)*V*(1-n)/((T/L)^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 refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process, 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 refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process, 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 refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.

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_p), Machining and Operating Rate (R), Setup Time (t_s), Reference Cutting Velocity (V), Taylor's Tool Life Exponent (n), Tool Life (T) & Reference Tool Life (L). 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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