Minimum Length of Approach required in Slab Milling Calculator

✖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 [d_cut]			+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%

✖Length of Approach is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the WOrkpiece.ⓘ Minimum Length of Approach required in Slab Milling [A]

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Minimum Length of Approach required in Slab Milling

Formula

`"A" = sqrt("d"_{"cut"}*("D"_{"t"}-"d"_{"cut"}))`

Example

`"20.39608mm"=sqrt("13mm"*("45mm"-"13mm"))`

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Minimum Length of Approach required in Slab Milling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut))
A = sqrt(d_cut*(D_t-d_cut))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Length of Approach - (Measured in Meter) - Length of Approach is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the WOrkpiece.
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.
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

Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)
Diameter of Cutting Tool: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = sqrt(d_cut*(D_t-d_cut)) --> sqrt(0.013*(0.045-0.013))

Evaluating ... ...

A = 0.0203960780543711

STEP 3: Convert Result to Output's Unit

0.0203960780543711 Meter -->20.3960780543711 Millimeter (Check conversion here)

FINAL ANSWER

20.3960780543711 ≈ 20.39608 Millimeter <-- Length of Approach

(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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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

Minimum Length of Approach required in Slab Milling Formula

Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut))
A = sqrt(d_cut*(D_t-d_cut))

Cutter-Workpiece Engagement

Cutter-workpiece engagement (CWE) is the instantaneous contact geometry between the cutter and the in-process workpiece during machining. It plays an important role in machining process simulation and directly affects the calculation of the predicted cutting forces and torques.

How to Calculate Minimum Length of Approach required in Slab Milling?

Minimum Length of Approach required in Slab Milling calculator uses Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut)) to calculate the Length of Approach, The Minimum Length of Approach required in Slab Milling formula is used to determine the minimum distance the Cutting Tool has to cover to reach maximum engagement with the workpiece since their first contact during Slab Milling. Length of Approach is denoted by A symbol.

How to calculate Minimum Length of Approach required in Slab Milling using this online calculator? To use this online calculator for Minimum Length of Approach required in Slab Milling, enter Depth of Cut (d_cut) & Diameter of Cutting Tool (D_t) and hit the calculate button. Here is how the Minimum Length of Approach required in Slab Milling calculation can be explained with given input values -> 20396.08 = sqrt(0.013*(0.045-0.013)).

FAQ

What is Minimum Length of Approach required in Slab Milling?

The Minimum Length of Approach required in Slab Milling formula is used to determine the minimum distance the Cutting Tool has to cover to reach maximum engagement with the workpiece since their first contact during Slab Milling and is represented as A = sqrt(d_cut*(D_t-d_cut)) or Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut)). 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 & The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.

How to calculate Minimum Length of Approach required in Slab Milling?

The Minimum Length of Approach required in Slab Milling formula is used to determine the minimum distance the Cutting Tool has to cover to reach maximum engagement with the workpiece since their first contact during Slab Milling is calculated using Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut)). To calculate Minimum Length of Approach required in Slab Milling, you need Depth of Cut (d_cut) & Diameter of Cutting Tool (D_t). With our tool, you need to enter the respective value for Depth of Cut & 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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