Side Rake Angle for Orthogonal Cutting Calculator

✖Back rake angle is the angle between rake face and line parallel to base of tool measured in a plane perpendicular to the base. It is an important parameters in tool geometry for machining operations.ⓘ Back Rake Angle [α_b]			+10% -10%
✖Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.ⓘ Side Cutting Edge Angle [ψ]			+10% -10%

✖Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.ⓘ 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"))/(sin("ψ")))`

Example

`"0.410397rad"=atan((tan("0.558505rad")*cos("0.9625508278rad"))/(sin("0.9625508278rad")))`

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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))/(sin(Side Cutting Edge Angle)))
α_s = atan((tan(α_b)*cos(ψ))/(sin(ψ)))
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) - Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.
Back Rake Angle - (Measured in Radian) - Back rake angle is the angle between rake face and line parallel to base of tool measured in a plane perpendicular to the base. It is an important parameters in tool geometry for machining operations.
Side Cutting Edge Angle - (Measured in Radian) - Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.

STEP 1: Convert Input(s) to Base Unit

Back Rake Angle: 0.558505 Radian --> 0.558505 Radian No Conversion Required
Side Cutting Edge Angle: 0.9625508278 Radian --> 0.9625508278 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_s = atan((tan(α_b)*cos(ψ))/(sin(ψ))) --> atan((tan(0.558505)*cos(0.9625508278))/(sin(0.9625508278)))

Evaluating ... ...

α_s = 0.410396549184481

STEP 3: Convert Result to Output's Unit

0.410396549184481 Radian --> No Conversion Required

FINAL ANSWER

0.410396549184481 ≈ 0.410397 Radian <-- 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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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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National Institute Of Technology (NIT), Hamirpur

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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))/(sin(Side Cutting Edge Angle)))

Back Rake Angle for Orthogonal Cutting

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

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 Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)

Uncut Chip Thickness

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

Machine Feed

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

Radial Force

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

Feed Force

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

Side Rake Angle for Orthogonal Cutting Formula

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

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))/(sin(Side Cutting Edge Angle))) to calculate the Side Rake Angle, Side rake angle for orthogonal cutting is a critical parameter in orthogonal cutting that affects chip formation, cutting forces, tool wear, surface finish, and heat generation. Selecting the appropriate SRA based on the specific material and cutting conditions is essential for optimizing the cutting process, improving tool life, and achieving the desired surface quality. Understanding the role and impact of the side rake angle allows for more effective and efficient metal cutting operations. 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 (ψ) and hit the calculate button. Here is how the Side Rake Angle for Orthogonal Cutting calculation can be explained with given input values -> -0.108272 = atan((tan(0.558505)*cos(0.9625508278))/(sin(0.9625508278))).

FAQ

What is Side Rake Angle for Orthogonal Cutting?

Side rake angle for orthogonal cutting is a critical parameter in orthogonal cutting that affects chip formation, cutting forces, tool wear, surface finish, and heat generation. Selecting the appropriate SRA based on the specific material and cutting conditions is essential for optimizing the cutting process, improving tool life, and achieving the desired surface quality. Understanding the role and impact of the side rake angle allows for more effective and efficient metal cutting operations and is represented as α_s = atan((tan(α_b)*cos(ψ))/(sin(ψ))) or Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle))). Back rake angle is the angle between rake face and line parallel to base of tool measured in a plane perpendicular to the base. It is an important parameters in tool geometry for machining operations & Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.

How to calculate Side Rake Angle for Orthogonal Cutting?

Side rake angle for orthogonal cutting is a critical parameter in orthogonal cutting that affects chip formation, cutting forces, tool wear, surface finish, and heat generation. Selecting the appropriate SRA based on the specific material and cutting conditions is essential for optimizing the cutting process, improving tool life, and achieving the desired surface quality. Understanding the role and impact of the side rake angle allows for more effective and efficient metal cutting operations is calculated using Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle))). To calculate Side Rake Angle for Orthogonal Cutting, you need Back Rake Angle (α_b) & Side Cutting Edge Angle (ψ). With our tool, you need to enter the respective value for Back Rake Angle & Side Cutting Edge 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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