Length of Approach for Drilling Operation Calculator

✖Diameter of drill bit used in Langefors’ Formula for calculating burden.ⓘ Diameter of drill bit [d_b]			+10% -10%
✖Drill Point Angle is the angle measured between the two opposite cutting edges of a Drill Bit at the top of the Flank.ⓘ Drill Point Angle [θ_drill-tip]			+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.ⓘ Length of Approach for Drilling Operation [A]

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Formula

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Length of Approach for Drilling Operation

Formula

`"A" = 0.5*"d"_{"b"}*cot("θ"_{"drill-tip"}/2)`

Example

`"0.62132mm"=0.5*"3mm"*cot("135°"/2)`

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Length of Approach for Drilling Operation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2)
A = 0.5*d_b*cot(θ_drill-tip/2)
This formula uses 1 Functions, 3 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

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.
Diameter of drill bit - (Measured in Meter) - Diameter of drill bit used in Langefors’ Formula for calculating burden.
Drill Point Angle - (Measured in Radian) - Drill Point Angle is the angle measured between the two opposite cutting edges of a Drill Bit at the top of the Flank.

STEP 1: Convert Input(s) to Base Unit

Diameter of drill bit: 3 Millimeter --> 0.003 Meter (Check conversion here)
Drill Point Angle: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 0.5*d_b*cot(θ_drill-tip/2) --> 0.5*0.003*cot(2.3561944901919/2)

Evaluating ... ...

A = 0.000621320343560034

STEP 3: Convert Result to Output's Unit

0.000621320343560034 Meter -->0.621320343560034 Millimeter (Check conversion here)

FINAL ANSWER

0.621320343560034 ≈ 0.62132 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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< 8 Drilling Operation Calculators

Material Removal Rate during Drilling Operation when Enlarging Existing Hole

Go Material Removal Rate in Drilling = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4

Material Removal Rate during Drilling Operation using Feed

Go Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Rate*Rotational Frequency/4

Machining Time for Drilling Operation

Go Machining Time = (Length of Cut+Length of Approach)/(Feed Rate*Rotational Frequency)

Diameter of Drill Bit given Length of Approach

Go Diameter of drill bit = 2*Length of Approach/tan((pi/2)-(Drill Point Angle/2))

Material Removal Rate during Drilling Operation

Go Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Speed/4

Length of Cut using Machining Time

Go Length of Cut = Feed Rate*Machining Time*Angular Velocity of Job or Workpiece

Drill Point Angle for given Length of Approach

Go Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach)

Length of Approach for Drilling Operation

Go Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2)

Length of Approach for Drilling Operation Formula

Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2)
A = 0.5*d_b*cot(θ_drill-tip/2)

Common Drill Point Angles

The point angle is located on the head of the twist drill. The most used Drill Point Angles are:
1. 90° - for Softer Materials
2. 118° - for Soft to Medium Hard Material
3. 135° - for Harder Materials

How to Calculate Length of Approach for Drilling Operation?

Length of Approach for Drilling Operation calculator uses Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2) to calculate the Length of Approach, The Length of Approach for Drilling Operation is the required length the drill needs to move to achieve maximum engagement since the beginning of Tool-Workpiece contact. Length of Approach is denoted by A symbol.

How to calculate Length of Approach for Drilling Operation using this online calculator? To use this online calculator for Length of Approach for Drilling Operation, enter Diameter of drill bit (d_b) & Drill Point Angle (θ_drill-tip) and hit the calculate button. Here is how the Length of Approach for Drilling Operation calculation can be explained with given input values -> 621.3203 = 0.5*0.003*cot(2.3561944901919/2).

FAQ

What is Length of Approach for Drilling Operation?

The Length of Approach for Drilling Operation is the required length the drill needs to move to achieve maximum engagement since the beginning of Tool-Workpiece contact and is represented as A = 0.5*d_b*cot(θ_drill-tip/2) or Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2). Diameter of drill bit used in Langefors’ Formula for calculating burden & Drill Point Angle is the angle measured between the two opposite cutting edges of a Drill Bit at the top of the Flank.

How to calculate Length of Approach for Drilling Operation?

The Length of Approach for Drilling Operation is the required length the drill needs to move to achieve maximum engagement since the beginning of Tool-Workpiece contact is calculated using Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2). To calculate Length of Approach for Drilling Operation, you need Diameter of drill bit (d_b) & Drill Point Angle (θ_drill-tip). With our tool, you need to enter the respective value for Diameter of drill bit & Drill Point Angle 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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