Work Engagement given Proportion of Edge Engagement for Face Milling Calculator

✖Time Proportion of Cutting Edge Engagement 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 [Q]			+10% -10%
✖Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.ⓘ Diameter of a Cutting Tool [D_cut]			+10% -10%

✖Work Engagement 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 \cdot π) \cdot D cut

Example

51.99426 mm = \sin (0.4 \cdot π) \cdot 54.67 mm

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Work Engagement given Proportion of Edge Engagement for Face Milling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Engagement = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool
a_e = sin(Q*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 - (Measured in Meter) - Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.
Time Proportion of Cutting Edge Engagement - Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Diameter of a Cutting Tool - (Measured in Meter) - Diameter of a Cutting Tool 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: 0.4 --> No Conversion Required
Diameter of a Cutting Tool: 54.67 Millimeter --> 0.05467 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_e = sin(Q*pi)*D_cut --> sin(0.4*pi)*0.05467

Evaluating ... ...

a_e = 0.051994259745856

STEP 3: Convert Result to Output's Unit

0.051994259745856 Meter -->51.994259745856 Millimeter (Check conversion here)

FINAL ANSWER

51.994259745856 ≈ 51.99426 Millimeter <-- Work Engagement

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< Face and Vertical Milling Calculators

Maximum Chip Thickness in Vertical Milling

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

Machining Time for Milling Operation

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

Machining Time for Shaping Operation

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

Minimum Length of Approach required in Face Milling

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

Work Engagement given Proportion of Edge Engagement for Face Milling Formula

Work Engagement = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool
a_e = sin(Q*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 = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool to calculate the Work Engagement, 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 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 (Q) & Diameter of a Cutting Tool (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 -> 100812 = sin(0.4*pi)*0.05467.

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*pi)*D_cut or Work Engagement = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool. Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece & Diameter of a Cutting Tool 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 = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool. To calculate Work Engagement given Proportion of Edge Engagement for Face Milling, you need Time Proportion of Cutting Edge Engagement (Q) & Diameter of a Cutting Tool (D_cut). With our tool, you need to enter the respective value for Time Proportion of Cutting Edge Engagement & Diameter of a Cutting 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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