Work Engagement given Proportion of Edge Engagement for Slab and Side 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 Slab and Side Milling [a_e]

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Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2
a_e = (sin((Q-0.25)*2*pi)+1)*D_cut/2
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-0.25)*2*pi)+1)*D_cut/2 --> (sin((0.4-0.25)*2*pi)+1)*0.05467/2

Evaluating ... ...

a_e = 0.0494494795412392

STEP 3: Convert Result to Output's Unit

0.0494494795412392 Meter -->49.4494795412392 Millimeter (Check conversion here)

FINAL ANSWER

49.4494795412392 ≈ 49.44948 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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< Slab and Slide Milling Calculators

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Feed Speed of Workpiece in Slab Milling

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Feed in Slab Milling given Feed Speed

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Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Formula

LaTeX Go

Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2
a_e = (sin((Q-0.25)*2*pi)+1)*D_cut/2

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 Slab and Side Milling?

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling calculator uses Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2 to calculate the Work Engagement, The Work Engagement given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Slab and Side Milling Operation. Work Engagement is denoted by a_e symbol.

How to calculate Work Engagement given Proportion of Edge Engagement for Slab and Side Milling using this online calculator? To use this online calculator for Work Engagement given Proportion of Edge Engagement for Slab and Side 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 Slab and Side Milling calculation can be explained with given input values -> 49449.48 = (sin((0.4-0.25)*2*pi)+1)*0.05467/2.

FAQ

What is Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

The Work Engagement given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Slab and Side Milling Operation and is represented as a_e = (sin((Q-0.25)*2*pi)+1)*D_cut/2 or Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2. 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 Slab and Side Milling?

The Work Engagement given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Slab and Side Milling Operation is calculated using Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2. To calculate Work Engagement given Proportion of Edge Engagement for Slab and Side 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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