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

✖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%
✖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 [R]			+10% -10%
✖Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.ⓘ Time Proportion [t_q]			+10% -10%
✖Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.ⓘ Cost of a Tool [C]			+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.ⓘ Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost [C_ct]

⎘ Copy

👎

Formula

✖

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

Formula

C ct = (T \cdot n \cdot \frac{R}{t q \cdot (1 - n)}) - C

Example

5900 = (3000 s \cdot 0.125 \cdot \frac{7}{0.5 s \cdot (1 - 0.125)}) - 100

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool
C_ct = (T*n*R/(t_q*(1-n)))-C
This formula uses 6 Variables

Variables Used

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.
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.
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.
Time Proportion - (Measured in Second) - Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Cost of a Tool - Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.

STEP 1: Convert Input(s) to Base Unit

Tool Life: 3000 Second --> 3000 Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Machining and Operating Rate: 7 --> No Conversion Required
Time Proportion: 0.5 Second --> 0.5 Second No Conversion Required
Cost of a Tool: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_ct = (T*n*R/(t_q*(1-n)))-C --> (3000*0.125*7/(0.5*(1-0.125)))-100

Evaluating ... ...

C_ct = 5900

STEP 3: Convert Result to Output's Unit

5900 --> No Conversion Required

FINAL ANSWER

5900 <-- Cost of Changing Each Tool

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal Machining Economics » Production Cost » Minimum Machining Cost » Tool Changing Cost per Tool given Tool Life for Minimum Machining 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!

< 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)

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

Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool
C_ct = (T*n*R/(t_q*(1-n)))-C

How is Tool-Changing Cost generated?

The tool-changing cost is generated on the processes that basically include changing or re-sharpening the tool. These do not result in any productivity or profit whatsoever. But as the time is consumed by the operator to perform these tasks, when paid by the hour, the operators cost plants this time too.

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

Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost calculator uses Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool to calculate the Cost of Changing Each Tool, The Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost is a way to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour, based on the Minimum Machining Cost when Tool Life of Cutting Tool is known. Cost of Changing Each Tool is denoted by C_ct symbol.

How to calculate Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost using this online calculator? To use this online calculator for Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost, enter Tool Life (T), Taylor's Tool Life Exponent (n), Machining and Operating Rate (R), Time Proportion (t_q) & Cost of a Tool (C) and hit the calculate button. Here is how the Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost calculation can be explained with given input values -> 5900 = (3000*0.125*7/(0.5*(1-0.125)))-100.

FAQ

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

The Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost is a way to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour, based on the Minimum Machining Cost when Tool Life of Cutting Tool is known and is represented as C_ct = (T*n*R/(t_q*(1-n)))-C or Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool. Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, 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, Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece & Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.

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

The Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost is a way to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour, based on the Minimum Machining Cost when Tool Life of Cutting Tool is known is calculated using Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool. To calculate Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost, you need Tool Life (T), Taylor's Tool Life Exponent (n), Machining and Operating Rate (R), Time Proportion (t_q) & Cost of a Tool (C). With our tool, you need to enter the respective value for Tool Life, Taylor's Tool Life Exponent, Machining and Operating Rate, Time Proportion & 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.

Home

FREE PDFs

🔍 Search