Depth of Cut in Slab Milling using Tool Engagement Angle Calculator

✖Tool Engagement Angle is the angle made by the portion of the tool that engages with the workpiece during machining process.ⓘ Tool Engagement Angle [θ]			+10% -10%
✖The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.ⓘ Diameter of Cutting Tool [D_t]			+10% -10%

✖Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.ⓘ Depth of Cut in Slab Milling using Tool Engagement Angle [d_cut]

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Formula

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Depth of Cut in Slab Milling using Tool Engagement Angle

Formula

`"d"_{"cut"} = (1-cos("θ"))*"D"_{"t"}/2`

Example

`"1.945227mm"=(1-cos("24°"))*"45mm"/2`

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Depth of Cut in Slab Milling using Tool Engagement Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2
d_cut = (1-cos(θ))*D_t/2
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Tool Engagement Angle - (Measured in Radian) - Tool Engagement Angle is the angle made by the portion of the tool that engages with the workpiece during machining process.
Diameter of Cutting Tool - (Measured in Meter) - The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.

STEP 1: Convert Input(s) to Base Unit

Tool Engagement Angle: 24 Degree --> 0.41887902047856 Radian (Check conversion here)
Diameter of Cutting Tool: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_cut = (1-cos(θ))*D_t/2 --> (1-cos(0.41887902047856))*0.045/2

Evaluating ... ...

d_cut = 0.00194522720304076

STEP 3: Convert Result to Output's Unit

0.00194522720304076 Meter -->1.94522720304076 Millimeter (Check conversion here)

FINAL ANSWER

1.94522720304076 ≈ 1.945227 Millimeter <-- Depth of Cut

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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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

Depth of Cut in Slab Milling using Tool Engagement Angle Formula

Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2
d_cut = (1-cos(θ))*D_t/2

Tool Engagement Controlled Milling

The goal of tool engagement controlled milling is to achieve the highest possible productivity. This requires gaining complete control of the cutting environment in order to cut optimally everywhere along the toolpath.

How to Calculate Depth of Cut in Slab Milling using Tool Engagement Angle?

Depth of Cut in Slab Milling using Tool Engagement Angle calculator uses Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2 to calculate the Depth of Cut, The Depth of Cut in Slab Milling using Tool Engagement Angle is a method to determine the maximum Depth of Cut possible for a given Engagement of Tool and Workpiece. Depth of Cut is denoted by d_cut symbol.

How to calculate Depth of Cut in Slab Milling using Tool Engagement Angle using this online calculator? To use this online calculator for Depth of Cut in Slab Milling using Tool Engagement Angle, enter Tool Engagement Angle (θ) & Diameter of Cutting Tool (D_t) and hit the calculate button. Here is how the Depth of Cut in Slab Milling using Tool Engagement Angle calculation can be explained with given input values -> 1945.227 = (1-cos(0.41887902047856))*0.045/2.

FAQ

What is Depth of Cut in Slab Milling using Tool Engagement Angle?

The Depth of Cut in Slab Milling using Tool Engagement Angle is a method to determine the maximum Depth of Cut possible for a given Engagement of Tool and Workpiece and is represented as d_cut = (1-cos(θ))*D_t/2 or Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2. Tool Engagement Angle is the angle made by the portion of the tool that engages with the workpiece during machining process & The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.

How to calculate Depth of Cut in Slab Milling using Tool Engagement Angle?

The Depth of Cut in Slab Milling using Tool Engagement Angle is a method to determine the maximum Depth of Cut possible for a given Engagement of Tool and Workpiece is calculated using Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2. To calculate Depth of Cut in Slab Milling using Tool Engagement Angle, you need Tool Engagement Angle (θ) & Diameter of Cutting Tool (D_t). With our tool, you need to enter the respective value for Tool Engagement Angle & Diameter of 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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