Proportion of Cutting Edge Engagement for Slab and Side Milling Calculator

✖Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.ⓘ Work Engagement [a_e]			+10% -10%
✖The Diameter of A Cutting Tool is the outer diameter of the cutting part of the tool.ⓘ Diameter of A Cutting Tool [D_ct]			+10% -10%

✖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.ⓘ Proportion of Cutting Edge Engagement for Slab and Side Milling [Q]

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Formula

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Proportion of Cutting Edge Engagement for Slab and Side Milling

Formula

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

Example

`"0.428992"=0.25+(asin((2*"52mm"/"54.67604mm")-1)/(2*pi))`

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Proportion of Cutting Edge Engagement for Slab and Side Milling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of A Cutting Tool)-1)/(2*pi))
Q = 0.25+(asin((2*a_e/D_ct)-1)/(2*pi))
This formula uses 1 Constants, 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
Work Engagement - (Measured in Meter) - Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.
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

Work Engagement: 52 Millimeter --> 0.052 Meter (Check conversion here)
Diameter of A Cutting Tool: 54.67604 Millimeter --> 0.05467604 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = 0.25+(asin((2*a_e/D_ct)-1)/(2*pi)) --> 0.25+(asin((2*0.052/0.05467604)-1)/(2*pi))

Evaluating ... ...

Q = 0.428992225265005

STEP 3: Convert Result to Output's Unit

0.428992225265005 --> No Conversion Required

FINAL ANSWER

0.428992225265005 ≈ 0.428992 <-- Time Proportion of Cutting Edge Engagement

(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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< 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 Maximum 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

Proportion of Cutting Edge Engagement for Slab and Side Milling Formula

Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of A Cutting Tool)-1)/(2*pi))
Q = 0.25+(asin((2*a_e/D_ct)-1)/(2*pi))

What causes flank wear?

Flank Wear is most commonly caused due to abrasive wear of the cutting edge against the machined surface. Flank Wear generally occurs when the speed of cutting is very high. It causes many losses but one of the most concerning is the increased roughness of the surface of the final product.

How to Calculate Proportion of Cutting Edge Engagement for Slab and Side Milling?

Proportion of Cutting Edge Engagement for Slab and Side Milling calculator uses Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of A Cutting Tool)-1)/(2*pi)) to calculate the Time Proportion of Cutting Edge Engagement, Proportion of Cutting Edge Engagement for Slab and Side Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Slab and Side Milling Operation. Time Proportion of Cutting Edge Engagement is denoted by Q symbol.

How to calculate Proportion of Cutting Edge Engagement for Slab and Side Milling using this online calculator? To use this online calculator for Proportion of Cutting Edge Engagement for Slab and Side Milling, enter Work Engagement (a_e) & Diameter of A Cutting Tool (D_ct) and hit the calculate button. Here is how the Proportion of Cutting Edge Engagement for Slab and Side Milling calculation can be explained with given input values -> 0.428992 = 0.25+(asin((2*0.052/0.05467604)-1)/(2*pi)).

FAQ

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

Proportion of Cutting Edge Engagement for Slab and Side Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Slab and Side Milling Operation and is represented as Q = 0.25+(asin((2*a_e/D_ct)-1)/(2*pi)) or Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of A Cutting Tool)-1)/(2*pi)). Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining & The Diameter of A Cutting Tool is the outer diameter of the cutting part of the tool.

How to calculate Proportion of Cutting Edge Engagement for Slab and Side Milling?

Proportion of Cutting Edge Engagement for Slab and Side Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Slab and Side Milling Operation is calculated using Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of A Cutting Tool)-1)/(2*pi)). To calculate Proportion of Cutting Edge Engagement for Slab and Side Milling, you need Work Engagement (a_e) & Diameter of A Cutting Tool (D_ct). With our tool, you need to enter the respective value for Work 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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