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 For Slab is the outer diameter of the cutting part of the slab.ⓘ Diameter of A Cutting Tool For Slab [D_tslab]			+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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Formula

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

Formula

`"a"_{"e"} = (sin(("Q"-0.25)*2*pi)+1)*"D"_{"tslab"}/2`

Example

`"52mm"=(sin(("0.4"-0.25)*2*pi)+1)*"57.48979mm"/2`

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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 For Slab/2
a_e = (sin((Q-0.25)*2*pi)+1)*D_tslab/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 For Slab - (Measured in Meter) - Diameter of A Cutting Tool For Slab is the outer diameter of the cutting part of the slab.

STEP 1: Convert Input(s) to Base Unit

Time Proportion of Cutting Edge Engagement: 0.4 --> No Conversion Required
Diameter of A Cutting Tool For Slab: 57.48979 Millimeter --> 0.05748979 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_e = (sin((Q-0.25)*2*pi)+1)*D_tslab/2 --> (sin((0.4-0.25)*2*pi)+1)*0.05748979/2

Evaluating ... ...

a_e = 0.0520000035565235

STEP 3: Convert Result to Output's Unit

0.0520000035565235 Meter -->52.0000035565235 Millimeter (Check conversion here)

FINAL ANSWER

52.0000035565235 ≈ 52 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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< 10+ Slab and Slide Milling Calculators

Maximum Chip Thickness obtained in Slab Milling using Depth of Cut

Go Max Chip Thickness = 2*Feed Speed*sqrt(Depth of Cut in Milling/Diameter of Cutting Tool)/(Number of Teeth on Cutting Tool*Rotational Frequency)

Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle

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

Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling

Go Diameter of A Cutting Tool For Slab = 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 For Slab/2

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))

Minimum Length of Approach required in Slab Milling

Go Length of Approach = sqrt(Depth of Cut in Milling*(Diameter of Cutting Tool-Depth of Cut in Milling))

Tool Engagement Angle in Slab Milling using Depth of Cut

Go Tool Engagement Angle in Milling = acos(1-(2*Depth of Cut in Milling/Diameter of Cutting Tool))

Depth of Cut in Slab Milling using Tool Engagement Angle

Go Depth of Cut in Milling = (1-cos(Tool Engagement Angle in Milling))*Diameter of Cutting Tool/2

Feed Speed of Workpiece in Slab Milling

Go Feed Speed = Feed Rate*Frequency of Reciprocating Strokes

Feed in Slab Milling given Feed Speed

Go Feed Rate = Feed Speed/Frequency of Reciprocating Strokes

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 For Slab/2
a_e = (sin((Q-0.25)*2*pi)+1)*D_tslab/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 For Slab/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 For Slab (D_tslab) 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 -> 54676.02 = (sin((0.4-0.25)*2*pi)+1)*0.05748979/2.

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_tslab/2 or Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of A Cutting Tool For Slab/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 For Slab is the outer diameter of the cutting part of the slab.

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 For Slab/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 For Slab (D_tslab). With our tool, you need to enter the respective value for Time Proportion of Cutting Edge Engagement & Diameter of A Cutting Tool For Slab 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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