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
ae = (sin((Q-0.25)*2*pi)+1)*Dt/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) - The Diameter of a Cutting Tool 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: 52 Millimeter --> 0.052 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ae = (sin((Q-0.25)*2*pi)+1)*Dt/2 --> (sin((0.4-0.25)*2*pi)+1)*0.052/2
Evaluating ... ...
ae = 0.0470344418537486
STEP 3: Convert Result to Output's Unit
0.0470344418537486 Meter -->47.0344418537486 Millimeter (Check conversion here)
FINAL ANSWER
47.0344418537486 47.03444 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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6 Milling Calculators

Proportion of Cutting Edge Engagement for Slab and Side Milling
Go Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi))
Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling
Go Diameter of a Cutting Tool = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)
Work Engagement given Proportion of Edge Engagement for Slab and Side Milling
Go Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2
Proportion of Cutting Edge Engagement for Face Milling
Go Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi
Diameter of Tool given Proportion of Edge Engagement for Face Milling
Go Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi)
Work Engagement given Proportion of Edge Engagement for Face Milling
Go Work Engagement = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool

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

Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2
ae = (sin((Q-0.25)*2*pi)+1)*Dt/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 ae 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 (Dt) 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 -> 47034.44 = (sin((0.4-0.25)*2*pi)+1)*0.052/2.

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 ae = (sin((Q-0.25)*2*pi)+1)*Dt/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 & The Diameter of a Cutting Tool 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 (Dt). 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.
How many ways are there to calculate Work Engagement?
In this formula, Work Engagement uses Time Proportion of Cutting Edge Engagement & Diameter of a Cutting Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Work Engagement = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool
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