Diameter of Drill Bit given Length of Approach Calculator

✖Approach Distance is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the Workpiece.ⓘ Approach Distance [A]			+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]			+10% -10%

✖Diameter of drill bit used in Langefors’ Formula for calculating burden.ⓘ Diameter of Drill Bit given Length of Approach [D]

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Formula

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Diameter of Drill Bit given Length of Approach

Formula

`"D" = 2*"A"/tan((pi/2)-("θ"/2))`

Example

`"60.35534mm"=2*"12.5mm"/tan((pi/2)-("135°"/2))`

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Diameter of Drill Bit given Length of Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of drill bit = 2*Approach Distance/tan((pi/2)-(Drill Point Angle/2))
D = 2*A/tan((pi/2)-(θ/2))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Diameter of drill bit - (Measured in Meter) - Diameter of drill bit used in Langefors’ Formula for calculating burden.
Approach Distance - (Measured in Meter) - Approach Distance is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the Workpiece.
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

Approach Distance: 12.5 Millimeter --> 0.0125 Meter (Check conversion here)
Drill Point Angle: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = 2*A/tan((pi/2)-(θ/2)) --> 2*0.0125/tan((pi/2)-(2.3561944901919/2))

Evaluating ... ...

D = 0.0603553390592894

STEP 3: Convert Result to Output's Unit

0.0603553390592894 Meter -->60.3553390592894 Millimeter (Check conversion here)

FINAL ANSWER

60.3553390592894 ≈ 60.35534 Millimeter <-- Diameter of drill bit

(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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National Institute Of Technology (NIT), Hamirpur

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< 8 Drilling Operation Calculators

Material Removal Rate during Drilling Operation using Feed

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

Material Removal Rate during Drilling Operation when Enlarging Existing Hole

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

Machining Time for Drilling Operation

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

Diameter of Drill Bit given Length of Approach

Go Diameter of drill bit = 2*Approach Distance/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*Rotational Frequency of Workpiece

Drill Point Angle for given Length of Approach

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

Length of Approach for Drilling Operation

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

Diameter of Drill Bit given Length of Approach Formula

Diameter of drill bit = 2*Approach Distance/tan((pi/2)-(Drill Point Angle/2))
D = 2*A/tan((pi/2)-(θ/2))

Why Drill is a Multi-Point Cutting Tool?

If a cutter contains more than one cutting edge that can simultaneously partake in material removal action during machining, then it is called a multipoint cutter. Sometimes drill is classified as a double-point cutting tool because common metal cutting drills contain only two cutting edges; however, drills may contain more than two (3 to 6) cutting edges also (for example, wood cutting twist drills).

How to Calculate Diameter of Drill Bit given Length of Approach?

Diameter of Drill Bit given Length of Approach calculator uses Diameter of drill bit = 2*Approach Distance/tan((pi/2)-(Drill Point Angle/2)) to calculate the Diameter of drill bit, The diameter of Drill Bit given Length of Approach is a method to determine the maximum size of the hole that can be made in the workpiece when the Length of the Approach of the Tool and the material of the Workpiece is known. Diameter of drill bit is denoted by D symbol.

How to calculate Diameter of Drill Bit given Length of Approach using this online calculator? To use this online calculator for Diameter of Drill Bit given Length of Approach, enter Approach Distance (A) & Drill Point Angle (θ) and hit the calculate button. Here is how the Diameter of Drill Bit given Length of Approach calculation can be explained with given input values -> 50698.48 = 2*0.0125/tan((pi/2)-(2.3561944901919/2)).

FAQ

What is Diameter of Drill Bit given Length of Approach?

The diameter of Drill Bit given Length of Approach is a method to determine the maximum size of the hole that can be made in the workpiece when the Length of the Approach of the Tool and the material of the Workpiece is known and is represented as D = 2*A/tan((pi/2)-(θ/2)) or Diameter of drill bit = 2*Approach Distance/tan((pi/2)-(Drill Point Angle/2)). Approach Distance is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the Workpiece & 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 Diameter of Drill Bit given Length of Approach?

The diameter of Drill Bit given Length of Approach is a method to determine the maximum size of the hole that can be made in the workpiece when the Length of the Approach of the Tool and the material of the Workpiece is known is calculated using Diameter of drill bit = 2*Approach Distance/tan((pi/2)-(Drill Point Angle/2)). To calculate Diameter of Drill Bit given Length of Approach, you need Approach Distance (A) & Drill Point Angle (θ). With our tool, you need to enter the respective value for Approach Distance & 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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