Diameter of Tool given Proportion of 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%
✖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 Tool given Proportion of Edge Engagement for Slab and Side Milling [D_tslab]

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Formula

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

Formula

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

Example

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of A Cutting Tool For Slab = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)
D_tslab = 2*a_e/(sin((Q-0.25)*2*pi)+1)
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Work Engagement: 52 Millimeter --> 0.052 Meter (Check conversion here)
Time Proportion of Cutting Edge Engagement: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_tslab = 2*a_e/(sin((Q-0.25)*2*pi)+1) --> 2*0.052/(sin((0.4-0.25)*2*pi)+1)

Evaluating ... ...

D_tslab = 0.0574897860680044

STEP 3: Convert Result to Output's Unit

0.0574897860680044 Meter -->57.4897860680044 Millimeter (Check conversion here)

FINAL ANSWER

57.4897860680044 ≈ 57.48979 Millimeter <-- Diameter of A Cutting Tool For Slab

(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 Maximum Chip Thickness = 2*Feed Speed*sqrt(Depth of Cut/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)/(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*(Diameter of Cutting Tool-Depth of Cut))

Tool Engagement Angle in Slab Milling using Depth of Cut

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

Depth of Cut in Slab Milling using Tool Engagement Angle

Go Depth of Cut = (1-cos(Tool Engagement Angle))*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

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

Diameter of A Cutting Tool For Slab = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)
D_tslab = 2*a_e/(sin((Q-0.25)*2*pi)+1)

Ideal Capacity of a Machine Tool

The desired characteristics of a Machine Toole are:
1. Powerful and high Strength
2. Rigid and Stable
3. Tools allows much higher Cutting Velocity, if required and permissible
4. Low wear

How to Calculate Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling?

Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling calculator uses Diameter of A Cutting Tool For Slab = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1) to calculate the Diameter of A Cutting Tool For Slab, Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the Diameter of the Cutting Tool to be used in a Slab and Side Milling Operation when there is a limit on the Fraction of Cutting Edge Engagement Time. Diameter of A Cutting Tool For Slab is denoted by D_tslab symbol.

How to calculate Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling using this online calculator? To use this online calculator for Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling, enter Work Engagement (a_e) & Time Proportion of Cutting Edge Engagement (Q) and hit the calculate button. Here is how the Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling calculation can be explained with given input values -> 57489.79 = 2*0.052/(sin((0.4-0.25)*2*pi)+1).

FAQ

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

Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the Diameter of the Cutting Tool to be used in a Slab and Side Milling Operation when there is a limit on the Fraction of Cutting Edge Engagement Time and is represented as D_tslab = 2*a_e/(sin((Q-0.25)*2*pi)+1) or Diameter of A Cutting Tool For Slab = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1). Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining & 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.

How to calculate Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling?

Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the Diameter of the Cutting Tool to be used in a Slab and Side Milling Operation when there is a limit on the Fraction of Cutting Edge Engagement Time is calculated using Diameter of A Cutting Tool For Slab = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1). To calculate Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling, you need Work Engagement (a_e) & Time Proportion of Cutting Edge Engagement (Q). With our tool, you need to enter the respective value for Work Engagement & Time Proportion of Cutting Edge Engagement 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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