Force acting Normal to Rake Face given Cutting Force and Thrust Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Force = (Cutting Force*cos(Normal Rake Angle))-(Thrust force*sin(Normal Rake Angle))
Fn = (Fc*cos(αnormal))-(Ft*sin(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
Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
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.
Thrust force - (Measured in Newton) - Thrust force acting perpendicular to job piece.
STEP 1: Convert Input(s) to Base Unit
Cutting Force: 647.55 Newton --> 647.55 Newton No Conversion Required
Normal Rake Angle: 2.01 Degree --> 0.0350811179650794 Radian (Check conversion here)
Thrust force: 12.5 Newton --> 12.5 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fn = (Fc*cos(αnormal))-(Ft*sin(αnormal)) --> (647.55*cos(0.0350811179650794))-(12.5*sin(0.0350811179650794))
Evaluating ... ...
Fn = 646.713151845723
STEP 3: Convert Result to Output's Unit
646.713151845723 Newton --> No Conversion Required
FINAL ANSWER
646.713151845723 646.7132 Newton <-- Normal Force
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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6 Resultants and Stress Calculators

Shear stress given cutting force, cut size, uncut chip thickness, friction, rake and shear angles
Go Average Shear Stress on Shear Plane = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/((Width of cut*Uncut Chip Thickness)*cos(Friction Angle-Rake Angle))
Force acting Normal to Rake Face given Cutting Force and Thrust Force
Go Normal Force = (Cutting Force*cos(Normal Rake Angle))-(Thrust force*sin(Normal Rake Angle))
Normal rake angle for given Resultant force, force along shear, shear, and friction angle
Go Rake Angle = Shear angle+Friction Angle-(arccos(Resultant Force/Force along shear plane))
R in merchant circle for given force along shear force, shear, friction and normal rake angles
Go Resultant Force = (Force along shear plane)*(sec(Shear angle+Friction Angle-Rake Angle))
Resultant force in merchant circle for given cutting force, friction and normal rake angles
Go Resultant Force = Cutting Force*(sec(Friction Angle-Rake Angle))
Mean normal stress in shear plane for given normal force and shear area
Go Normal Stress = Normal Force/Shear Area

Force acting Normal to Rake Face given Cutting Force and Thrust Force Formula

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

Calculation of normal force acting on a job piece.

normal force is the force acting normally to the rake angle of job, can be used for calculation of thrust force and cutting force

How to Calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force?

Force acting Normal to Rake Face given Cutting Force and Thrust Force calculator uses Normal Force = (Cutting Force*cos(Normal Rake Angle))-(Thrust force*sin(Normal Rake Angle)) to calculate the Normal Force, The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle. Normal Force is denoted by Fn symbol.

How to calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force using this online calculator? To use this online calculator for Force acting Normal to Rake Face given Cutting Force and Thrust Force, enter Cutting Force (Fc), Normal Rake Angle normal) & Thrust force (Ft) and hit the calculate button. Here is how the Force acting Normal to Rake Face given Cutting Force and Thrust Force calculation can be explained with given input values -> 635.5417 = (647.55*cos(0.0350811179650794))-(12.5*sin(0.0350811179650794)).

FAQ

What is Force acting Normal to Rake Face given Cutting Force and Thrust Force?
The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle and is represented as Fn = (Fc*cos(αnormal))-(Ft*sin(αnormal)) or Normal Force = (Cutting Force*cos(Normal Rake Angle))-(Thrust force*sin(Normal Rake Angle)). Cutting Force is the force in the direction of cutting, the same direction as the cutting speed, 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 & Thrust force acting perpendicular to job piece.
How to calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force?
The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle is calculated using Normal Force = (Cutting Force*cos(Normal Rake Angle))-(Thrust force*sin(Normal Rake Angle)). To calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force, you need Cutting Force (Fc), Normal Rake Angle normal) & Thrust force (Ft). With our tool, you need to enter the respective value for Cutting Force, Normal Rake Angle & Thrust force 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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