Cutting Force given Thrust Force and Normal Rake Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Force = (Normal Force+Thrust force*sin(Normal Rake Angle))/cos(Normal Rake Angle)
Fc = (Fn+Ft*sin(αnormal))/cos(αnormal)
This formula uses 2 Functions, 4 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)
Variables Used
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
Thrust force - (Measured in Newton) - Thrust force acting perpendicular to job piece.
Normal Rake Angle - (Measured in Radian) - The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
STEP 1: Convert Input(s) to Base Unit
Normal Force: 57.3 Newton --> 57.3 Newton No Conversion Required
Thrust force: 12.5 Newton --> 12.5 Newton No Conversion Required
Normal Rake Angle: 2.01 Degree --> 0.0350811179650794 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fc = (Fn+Ft*sin(αnormal))/cos(αnormal) --> (57.3+12.5*sin(0.0350811179650794))/cos(0.0350811179650794)
Evaluating ... ...
Fc = 57.7739711640097
STEP 3: Convert Result to Output's Unit
57.7739711640097 Newton --> No Conversion Required
FINAL ANSWER
57.7739711640097 57.77397 Newton <-- Cutting Force
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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6 Cutting Force Calculators

Cutting force for shear stress, width of cut, uncut chip thickness, friction, rake and shear angles
Go Cutting Force = ((Average Shear Stress on Shear Plane*Width of cut*Uncut Chip Thickness)*sin(Friction Angle-Rake Angle))/(sin(Shear angle)*cos(Shear angle+Friction Angle-Rake Angle))
Cutting force for given force along shear force, shear, friction and normal rake angles
Go Cutting Force = Force along shear plane*cos(Friction Angle-Rake Angle)/cos(Shear angle+Friction Angle-Rake Angle)
Cutting Force for Frictional Force along Tool Rake Face and Thrust Force
Go Cutting Force = (Frictional Force on Sleeve-(Axial Thrust*(cos(Normal Rake Angle))))/(sin(Normal Rake Angle))
Cutting Force given Thrust Force and Normal Rake Angle
Go Cutting Force = (Normal Force+Thrust force*sin(Normal Rake Angle))/cos(Normal Rake Angle)
Cutting Force given Shear Force and Thrust Force
Go Cutting Force = (Shear Force+(Axial Thrust*(sin(Shear angle))))/(cos(Shear angle))
Cutting force for given resultant force in merchant circle, friction angle and normal rake angle
Go Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle))

Cutting Force given Thrust Force and Normal Rake Angle Formula

Cutting Force = (Normal Force+Thrust force*sin(Normal Rake Angle))/cos(Normal Rake Angle)
Fc = (Fn+Ft*sin(αnormal))/cos(αnormal)

Calculating the cutting force acting on job piece.

Cutting force act in direction of cutting velocity, this is used to find the normal force and thrust force acting on the job piece

How to Calculate Cutting Force given Thrust Force and Normal Rake Angle?

Cutting Force given Thrust Force and Normal Rake Angle calculator uses Cutting Force = (Normal Force+Thrust force*sin(Normal Rake Angle))/cos(Normal Rake Angle) to calculate the Cutting Force, The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle. Cutting Force is denoted by Fc symbol.

How to calculate Cutting Force given Thrust Force and Normal Rake Angle using this online calculator? To use this online calculator for Cutting Force given Thrust Force and Normal Rake Angle, enter Normal Force (Fn), Thrust force (Ft) & Normal Rake Angle normal) and hit the calculate button. Here is how the Cutting Force given Thrust Force and Normal Rake Angle calculation can be explained with given input values -> 60.38803 = (57.3+12.5*sin(0.0350811179650794))/cos(0.0350811179650794).

FAQ

What is Cutting Force given Thrust Force and Normal Rake Angle?
The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle and is represented as Fc = (Fn+Ft*sin(αnormal))/cos(αnormal) or Cutting Force = (Normal Force+Thrust force*sin(Normal Rake Angle))/cos(Normal Rake Angle). Normal Force is the force which is normal to the shear force, Thrust force acting perpendicular to job piece & The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
How to calculate Cutting Force given Thrust Force and Normal Rake Angle?
The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle is calculated using Cutting Force = (Normal Force+Thrust force*sin(Normal Rake Angle))/cos(Normal Rake Angle). To calculate Cutting Force given Thrust Force and Normal Rake Angle, you need Normal Force (Fn), Thrust force (Ft) & Normal Rake Angle normal). With our tool, you need to enter the respective value for Normal Force, Thrust force & Normal Rake Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Cutting Force?
In this formula, Cutting Force uses Normal Force, Thrust force & Normal Rake Angle. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Cutting Force = (Shear Force+(Axial Thrust*(sin(Shear angle))))/(cos(Shear angle))
  • Cutting Force = (Frictional Force on Sleeve-(Axial Thrust*(cos(Normal Rake Angle))))/(sin(Normal Rake Angle))
  • Cutting Force = Resultant Force*(cos(Friction Angle-Rake Angle))
  • Cutting Force = Force along shear plane*cos(Friction Angle-Rake Angle)/cos(Shear angle+Friction Angle-Rake Angle)
  • Cutting Force = ((Average Shear Stress on Shear Plane*Width of cut*Uncut Chip Thickness)*sin(Friction Angle-Rake Angle))/(sin(Shear angle)*cos(Shear angle+Friction Angle-Rake Angle))
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