Work Engagement given Proportion of Edge Engagement for Face Milling Calculator

✖Time Proportion of Cutting Edge Engagement Milling is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.ⓘ Time Proportion of Cutting Edge Engagement Milling [Q_c]			+10% -10%
✖Cutting Tool Diameter in Milling is the outer diameter of the cutting part of the tool.ⓘ Cutting Tool Diameter in Milling [D_cut]			+10% -10%

✖Work Engagement in Milling is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.ⓘ Work Engagement given Proportion of Edge Engagement for Face Milling [A_e]

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Formula

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Work Engagement given Proportion of Edge Engagement for Face Milling

Formula

`"A"_{"e"} = sin("Q"_{"c"}*pi)*"D"_{"cut"}`

Example

`"53mm"=sin("0.16666667"*pi)*"106mm"`

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Work Engagement given Proportion of Edge Engagement for Face Milling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Engagement in Milling = sin(Time Proportion of Cutting Edge Engagement Milling*pi)*Cutting Tool Diameter in Milling
A_e = sin(Q_c*pi)*D_cut
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Work Engagement in Milling - (Measured in Meter) - Work Engagement in Milling is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.
Time Proportion of Cutting Edge Engagement Milling - Time Proportion of Cutting Edge Engagement Milling is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Cutting Tool Diameter in Milling - (Measured in Meter) - Cutting Tool Diameter in Milling is the outer diameter of the cutting part of the tool.

STEP 1: Convert Input(s) to Base Unit

Time Proportion of Cutting Edge Engagement Milling: 0.16666667 --> No Conversion Required
Cutting Tool Diameter in Milling: 106 Millimeter --> 0.106 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_e = sin(Q_c*pi)*D_cut --> sin(0.16666667*pi)*0.106

Evaluating ... ...

A_e = 0.0530000009613137

STEP 3: Convert Result to Output's Unit

0.0530000009613137 Meter -->53.0000009613137 Millimeter (Check conversion here)

FINAL ANSWER

53.0000009613137 ≈ 53 Millimeter <-- Work Engagement in Milling

(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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< 8 Face and Vertical Milling Calculators

Proportion of Cutting Edge Engagement for Face Milling

Go Time Proportion of Cutting Edge Engagement Milling = asin(Work Engagement in Milling/Cutting Tool Diameter in Milling)/pi

Diameter of Tool given Proportion of Edge Engagement for Face Milling

Go Cutting Tool Diameter in Milling = Work Engagement in Milling/sin(Time Proportion of Cutting Edge Engagement Milling*pi)

Work Engagement given Proportion of Edge Engagement for Face Milling

Go Work Engagement in Milling = sin(Time Proportion of Cutting Edge Engagement Milling*pi)*Cutting Tool Diameter in Milling

Maximum Chip Thickness in Vertical Milling

Go Maximum Chip Thickness Milling = Feed Speed in Milling/(Number of Teeth on Cutting Tool in Milling*Rotational Frequency in Milling)

Feed Speed in Vertical Milling given Maximum Chip Thickness

Go Feed Speed in Milling = Maximum Chip Thickness Milling*Number of Teeth on Cutting Tool in Milling*Rotational Frequency in Milling

Machining Time for Shaping Operation

Go Machining Time = Width of Workpiece/(Feed Rate in Milling*Reciprocating Strokes Frequency)

Machining Time for Milling Operation

Go Machining Time = (Length of Workpiece+Length of Approach in Milling)/Feed Speed in Milling

Minimum Length of Approach required in Face Milling

Go Length of Approach in Milling = Cutting Tool Diameter/2

Work Engagement given Proportion of Edge Engagement for Face Milling Formula

Work Engagement in Milling = sin(Time Proportion of Cutting Edge Engagement Milling*pi)*Cutting Tool Diameter in Milling
A_e = sin(Q_c*pi)*D_cut

Significance of Work Engagement in Milling

Milling is a dynamic machining process in which the in-process workpiece geometry and the instantaneous cutting situation for the cutter change continuously. Cutter-workpiece engagement (CWE) plays an important role in machining process simulation and directly affects the calculation of the predicted cutting forces and torques.

How to Calculate Work Engagement given Proportion of Edge Engagement for Face Milling?

Work Engagement given Proportion of Edge Engagement for Face Milling calculator uses Work Engagement in Milling = sin(Time Proportion of Cutting Edge Engagement Milling*pi)*Cutting Tool Diameter in Milling to calculate the Work Engagement in Milling, The Work Engagement given Proportion of Edge Engagement for Face Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Face Milling Operation. Work Engagement in Milling is denoted by A_e symbol.

How to calculate Work Engagement given Proportion of Edge Engagement for Face Milling using this online calculator? To use this online calculator for Work Engagement given Proportion of Edge Engagement for Face Milling, enter Time Proportion of Cutting Edge Engagement Milling (Q_c) & Cutting Tool Diameter in Milling (D_cut) and hit the calculate button. Here is how the Work Engagement given Proportion of Edge Engagement for Face Milling calculation can be explained with given input values -> 26500 = sin(0.16666667*pi)*0.106.

FAQ

What is Work Engagement given Proportion of Edge Engagement for Face Milling?

The Work Engagement given Proportion of Edge Engagement for Face Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Face Milling Operation and is represented as A_e = sin(Q_c*pi)*D_cut or Work Engagement in Milling = sin(Time Proportion of Cutting Edge Engagement Milling*pi)*Cutting Tool Diameter in Milling. Time Proportion of Cutting Edge Engagement Milling is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece & Cutting Tool Diameter in Milling is the outer diameter of the cutting part of the tool.

How to calculate Work Engagement given Proportion of Edge Engagement for Face Milling?

The Work Engagement given Proportion of Edge Engagement for Face Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Face Milling Operation is calculated using Work Engagement in Milling = sin(Time Proportion of Cutting Edge Engagement Milling*pi)*Cutting Tool Diameter in Milling. To calculate Work Engagement given Proportion of Edge Engagement for Face Milling, you need Time Proportion of Cutting Edge Engagement Milling (Q_c) & Cutting Tool Diameter in Milling (D_cut). With our tool, you need to enter the respective value for Time Proportion of Cutting Edge Engagement Milling & Cutting Tool Diameter in Milling 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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