Side Rake Angle for Orthogonal Cutting Calculator

✖Back Rake Angle in ASA system is the angle between the top surface of the cutting tool and a line perpendicular to the machined surface. It plays a crucial role in cutting performance parameters.ⓘ Back Rake Angle [α_b]			+10% -10%
✖The Side Cutting Edge Angle for Orthogonal Cutting is defined as the angle between the side cutting edge and the side of the shank of the cutting tool. It is often referred to as the lead angle.ⓘ Side Cutting Edge Angle for Orthogonal Cutting [ψ_s]			+10% -10%

✖The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.ⓘ Side Rake Angle for Orthogonal Cutting [α_s]

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Formula

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Side Rake Angle for Orthogonal Cutting

Formula

`"α"_{"s"} = atan((tan("α"_{"b"})*cos("ψ"_{"s"}))/(sin("ψ"_{"s"})))`

Example

`"23.51401°"=atan((tan("32°")*cos("55.1501°"))/(sin("55.1501°")))`

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Side Rake Angle for Orthogonal Cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting)))
α_s = atan((tan(α_b)*cos(ψ_s))/(sin(ψ_s)))
This formula uses 4 Functions, 3 Variables

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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Side Rake Angle - (Measured in Radian) - The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.
Back Rake Angle - (Measured in Radian) - Back Rake Angle in ASA system is the angle between the top surface of the cutting tool and a line perpendicular to the machined surface. It plays a crucial role in cutting performance parameters.
Side Cutting Edge Angle for Orthogonal Cutting - (Measured in Radian) - The Side Cutting Edge Angle for Orthogonal Cutting is defined as the angle between the side cutting edge and the side of the shank of the cutting tool. It is often referred to as the lead angle.

STEP 1: Convert Input(s) to Base Unit

Back Rake Angle: 32 Degree --> 0.55850536063808 Radian (Check conversion here)
Side Cutting Edge Angle for Orthogonal Cutting: 55.1501 Degree --> 0.962550827803944 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_s = atan((tan(α_b)*cos(ψ_s))/(sin(ψ_s))) --> atan((tan(0.55850536063808)*cos(0.962550827803944))/(sin(0.962550827803944)))

Evaluating ... ...

α_s = 0.410396842768344

STEP 3: Convert Result to Output's Unit

0.410396842768344 Radian -->23.5140070161246 Degree (Check conversion here)

FINAL ANSWER

23.5140070161246 ≈ 23.51401 Degree <-- Side Rake Angle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Geometry of Turning Process » Side Rake Angle for Orthogonal Cutting

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PSG College of Technology (PSGCT), Coimbatore

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< 10+ Geometry of Turning Process Calculators

Side Rake Angle for Orthogonal Cutting

Go Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting)))

Back Rake Angle for Orthogonal Cutting

Go Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle for Orthogonal Cutting))

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining)

Uncut Chip Thickness

Go Uncut Chip Thickness = Feed*cos(Side Cutting Edge Angle for Orthogonal Cutting)

Machine Feed

Go Feed = Uncut Chip Thickness/cos(Side Cutting Edge Angle for Orthogonal Cutting)

Radial Force

Go Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting)

Feed Force

Go Feed Force = Thrust Force*cos(Side Cutting Edge Angle for Orthogonal Cutting)

Number of Jobs Revolution per Unit Time

Go Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)

Initial Diameter of Job in Turning

Go Initial Diameter of Workpiece = Cutting Speed/(pi*Number of Revolutions)

Cutting Speed

Go Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions

Side Rake Angle for Orthogonal Cutting Formula

Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting)))
α_s = atan((tan(α_b)*cos(ψ_s))/(sin(ψ_s)))

What is geometry of single point cutting tool?

In a single-point tool, there are various angles. Each angle has a definite purpose. It comprises of back rake angle, side rake angle, end relief angle, etc.

What is side rake angle for orthogonal cutting?

The side rake angle for orthogonal cutting is denoted α s. Side rake is negative if the slope is towards the cutting edge. It also guides the direction chip away from the job and the amount of bending of a chip depends upon the angle.

How to Calculate Side Rake Angle for Orthogonal Cutting?

Side Rake Angle for Orthogonal Cutting calculator uses Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting))) to calculate the Side Rake Angle, The side rake angle for orthogonal cutting is the angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge. Side Rake Angle is denoted by α_s symbol.

How to calculate Side Rake Angle for Orthogonal Cutting using this online calculator? To use this online calculator for Side Rake Angle for Orthogonal Cutting, enter Back Rake Angle (α_b) & Side Cutting Edge Angle for Orthogonal Cutting (ψ_s) and hit the calculate button. Here is how the Side Rake Angle for Orthogonal Cutting calculation can be explained with given input values -> 1996.752 = atan((tan(0.55850536063808)*cos(0.962550827803944))/(sin(0.962550827803944))).

FAQ

What is Side Rake Angle for Orthogonal Cutting?

The side rake angle for orthogonal cutting is the angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge and is represented as α_s = atan((tan(α_b)*cos(ψ_s))/(sin(ψ_s))) or Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting))). Back Rake Angle in ASA system is the angle between the top surface of the cutting tool and a line perpendicular to the machined surface. It plays a crucial role in cutting performance parameters & The Side Cutting Edge Angle for Orthogonal Cutting is defined as the angle between the side cutting edge and the side of the shank of the cutting tool. It is often referred to as the lead angle.

How to calculate Side Rake Angle for Orthogonal Cutting?

The side rake angle for orthogonal cutting is the angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge is calculated using Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting))). To calculate Side Rake Angle for Orthogonal Cutting, you need Back Rake Angle (α_b) & Side Cutting Edge Angle for Orthogonal Cutting (ψ_s). With our tool, you need to enter the respective value for Back Rake Angle & Side Cutting Edge Angle for Orthogonal Cutting 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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