Normal rake angle for given Resultant force, force along shear, shear, and friction angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane))
α = ϕ+β-(arccos(Pn/Fs))
This formula uses 2 Functions, 5 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
arccos - Inverse trigonometric cosine function, arccos(Number)
Variables Used
Rake Angle - (Measured in Radian) - Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.
Shear angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.
Friction angle - (Measured in Radian) - The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β.
Resultant Force - (Measured in Newton) - The Resultant Force is defined as the total net force of various forces acting on an object.
Force along shear plane - (Measured in Newton) - Force along shear plane is the shear force along the shear plane.
STEP 1: Convert Input(s) to Base Unit
Shear angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Friction angle: 10 Radian --> 10 Radian No Conversion Required
Resultant Force: 10 Newton --> 10 Newton No Conversion Required
Force along shear plane: 26 Newton --> 26 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = ϕ+β-(arccos(Pn/Fs)) --> 0.785398163397301+10-(arccos(10/26))
Evaluating ... ...
α = 9.60939295630217
STEP 3: Convert Result to Output's Unit
9.60939295630217 Radian -->550.577660078959 Degree (Check conversion here)
FINAL ANSWER
550.577660078959 Degree <-- Rake Angle
(Calculation completed in 00.021 seconds)

Credits

Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
Shikha Maurya has created this Calculator and 100+ more calculators!
Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
Rushi Shah has verified this Calculator and 200+ more calculators!

10+ Merchant Force Circle (Mechanics of Orthogonal metal cutting) Calculators

Coefficient of friction for given thrust force, cutting force and normal rake angle
Coefficient of Friction = (Thrust force+Cutting Force*tan(Normal rake angle))/(Cutting Force-Thrust force*tan(Normal rake angle)) Go
Frictional force along tool rake face for given cutting and thrust forces, normal rake angle
Frictional force on the sleeve = (Cutting Force*(sin(Normal rake angle)))+(Axial Thrust*(cos(Normal rake angle))) Go
Force acting Normal to Rake Face given Cutting Force and Thrust Force
Normal Force = (Cutting Force*cos(Normal rake angle))-(Thrust force*sin(Normal rake angle)) Go
Area of shear plane for given shear angle, width of cut and uncut chip thickness
Area of shear plane = (Uncut Chip Thickness*Width of cut)/sin(Shear angle) Go
Width of cut for given shear angle, uncut chip thickness and area of shear plane
Width of cut = (Area of shear plane*sin(Shear angle))/Uncut Chip Thickness Go
Shear angle for given area of shear plane, width of cut and uncut chip thickness
Shear angle = asin(Width of cut*Uncut Chip Thickness/Area of shear plane) Go
Side cutting edge angle for given width of cut
Side Cutting Edge Angle = acos(Width of cut/Depth of cut) Go
Width of cut for given side cutting edge angle
Width of cut = Depth of Cut/cos(Side Cutting Edge Angle) Go
Coefficient of Friction given Forces Normal and along Tool Rake Face
Coefficient of Friction = Force of Friction/Normal Force Go
Coefficient of friction for given friction angle
Coefficient of Friction = tan(Angle of Friction) Go

Normal rake angle for given Resultant force, force along shear, shear, and friction angle Formula

Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane))
α = ϕ+β-(arccos(Pn/Fs))

What is Normal rake angle

Normal rake angle is a parameter used in various cutting and machining processes, describing the angle of the cutting face relative to the work. It is defined is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane

How to Calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle?

Normal rake angle for given Resultant force, force along shear, shear, and friction angle calculator uses Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane)) to calculate the Rake Angle, Normal rake angle for given Resultant force, force along shear, shear, and friction angles is defined as the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane. Rake Angle is denoted by α symbol.

How to calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle using this online calculator? To use this online calculator for Normal rake angle for given Resultant force, force along shear, shear, and friction angle, enter Shear angle (ϕ), Friction angle (β), Resultant Force (Pn) & Force along shear plane (Fs) and hit the calculate button. Here is how the Normal rake angle for given Resultant force, force along shear, shear, and friction angle calculation can be explained with given input values -> 550.5777 = 0.785398163397301+10-(arccos(10/26)).

FAQ

What is Normal rake angle for given Resultant force, force along shear, shear, and friction angle?
Normal rake angle for given Resultant force, force along shear, shear, and friction angles is defined as the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane and is represented as α = ϕ+β-(arccos(Pn/Fs)) or Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane)). Shear angle is the inclination of the shear plane with the horizontal axis at machining point, The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β, The Resultant Force is defined as the total net force of various forces acting on an object & Force along shear plane is the shear force along the shear plane.
How to calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle?
Normal rake angle for given Resultant force, force along shear, shear, and friction angles is defined as the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane is calculated using Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane)). To calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle, you need Shear angle (ϕ), Friction angle (β), Resultant Force (Pn) & Force along shear plane (Fs). With our tool, you need to enter the respective value for Shear angle, Friction angle, Resultant Force & Force along shear plane and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!