Thrust force for given cutting force, shear angle and force along shear force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle))
Paxial = ((Fc*(cos(ϕ)))-Fs)/(sin(ϕ))
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
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Shear angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
STEP 1: Convert Input(s) to Base Unit
Cutting Force: 647.55 Newton --> 647.55 Newton No Conversion Required
Shear angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Shear Force: 48.5 Newton --> 48.5 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Paxial = ((Fc*(cos(ϕ)))-Fs)/(sin(ϕ)) --> ((647.55*(cos(0.785398163397301)))-48.5)/(sin(0.785398163397301))
Evaluating ... ...
Paxial = 578.960642225086
STEP 3: Convert Result to Output's Unit
578.960642225086 Newton --> No Conversion Required
FINAL ANSWER
578.960642225086 578.9606 Newton <-- Axial Thrust
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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4 Thrust Force Calculators

Thrust force for given frictional force along tool rake face, cutting force and normal rake angle
Go Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle)
Thrust Force given Cutting Force and Normal Rake Angle
Go Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle)
Thrust force for given cutting force, shear angle and force normal to shear force
Go Axial Thrust = (Normal Force-(Cutting Force*(sin(Shear angle))))/(cos(Shear angle))
Thrust force for given cutting force, shear angle and force along shear force
Go Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle))

Thrust force for given cutting force, shear angle and force along shear force Formula

Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle))
Paxial = ((Fc*(cos(ϕ)))-Fs)/(sin(ϕ))

What is Force Relationship in Orthogonal Cutting?

Merchant's Circle Diagram is constructed to ease the analysis of cutting forces acting during orthogonal (Two Dimensional) cutting of workpiece. Merchant’s Theory is also used to consider properties and parameters of cutting tools to decrease wear and optimize efficiency and quality.

What is the thrust force in this relation?

Forces Fs and Fn act on the chip, Fs along the shear plane, and Fn normal to the shear plane. It acts normal to the direction of cutting. From Merchant theory, the horizontal component is the cutting force Fc and the vertical component is the thrust force Ft.

How to Calculate Thrust force for given cutting force, shear angle and force along shear force?

Thrust force for given cutting force, shear angle and force along shear force calculator uses Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle)) to calculate the Axial Thrust, Thrust force for given cutting force, shear angle and force along shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer. Axial Thrust is denoted by Paxial symbol.

How to calculate Thrust force for given cutting force, shear angle and force along shear force using this online calculator? To use this online calculator for Thrust force for given cutting force, shear angle and force along shear force, enter Cutting Force (Fc), Shear angle (ϕ) & Shear Force (Fs) and hit the calculate button. Here is how the Thrust force for given cutting force, shear angle and force along shear force calculation can be explained with given input values -> 578.9606 = ((647.55*(cos(0.785398163397301)))-48.5)/(sin(0.785398163397301)).

FAQ

What is Thrust force for given cutting force, shear angle and force along shear force?
Thrust force for given cutting force, shear angle and force along shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer and is represented as Paxial = ((Fc*(cos(ϕ)))-Fs)/(sin(ϕ)) or Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle)). Cutting Force is the force in the direction of cutting, the same direction as the cutting speed, Shear angle is the inclination of the shear plane with the horizontal axis at machining point & Shear Force is the force which causes shear deformation to occur in the shear plane.
How to calculate Thrust force for given cutting force, shear angle and force along shear force?
Thrust force for given cutting force, shear angle and force along shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer is calculated using Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle)). To calculate Thrust force for given cutting force, shear angle and force along shear force, you need Cutting Force (Fc), Shear angle (ϕ) & Shear Force (Fs). With our tool, you need to enter the respective value for Cutting Force, Shear angle & Shear Force 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 Axial Thrust?
In this formula, Axial Thrust uses Cutting Force, Shear angle & Shear Force. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Axial Thrust = (Normal Force-(Cutting Force*(sin(Shear angle))))/(cos(Shear angle))
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