Force normal to shear force for given cutting force, thrust force, and shear angle Calculator

✖Cutting force in machining is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force in Machining [Fc]			+10% -10%
✖Shear angle in machining is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear Angle in Machining [ϕ]			+10% -10%
✖The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.ⓘ Axial Thrust [Pa]			+10% -10%

✖Normal force induced on job is the force which is normal to the shear force.ⓘ Force normal to shear force for given cutting force, thrust force, and shear angle [F_N]

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Force normal to shear force for given cutting force, thrust force, and shear angle

Formula

`"F"_{"N"} = ("Fc"*(sin("ϕ")))+("Pa"*(cos("ϕ")))`

Example

`"634.5N"=("772.3185N"*(sin("45°")))+("125N"*(cos("45°")))`

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Force normal to shear force for given cutting force, thrust force, and shear angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Force Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining)))
F_N = (Fc*(sin(ϕ)))+(Pa*(cos(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

Normal Force Induced on Job - (Measured in Newton) - Normal force induced on job is the force which is normal to the shear force.
Cutting Force in Machining - (Measured in Newton) - Cutting force in machining is the force in the direction of cutting, the same direction as the cutting speed.
Shear Angle in Machining - (Measured in Radian) - Shear angle in machining is the inclination of the shear plane with the horizontal axis at machining point.
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.

STEP 1: Convert Input(s) to Base Unit

Cutting Force in Machining: 772.3185 Newton --> 772.3185 Newton No Conversion Required
Shear Angle in Machining: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Axial Thrust: 125 Newton --> 125 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_N = (Fc*(sin(ϕ)))+(Pa*(cos(ϕ))) --> (772.3185*(sin(0.785398163397301)))+(125*(cos(0.785398163397301)))

Evaluating ... ...

F_N = 634.499996234074

STEP 3: Convert Result to Output's Unit

634.499996234074 Newton --> No Conversion Required

FINAL ANSWER

634.499996234074 ≈ 634.5 Newton <-- Normal Force Induced on Job

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< 4 Force Normal to Shear Calculators

Force normal to shear force for given cutting force, thrust force, and shear angle

Go Normal Force Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining)))

Shear angle for given Resultant force, force along shear force, friction, and normal rake angles

Go Shear Angle in Machining = Rake Angle in Machining-Friction Angle in Machining+(arccos(Force Along Shear Plane in Machining/Resultant Force in Machining))

Cutting Shear Force given Uncut Chip Thickness and Shear Angle

Go Shear Force in Machining = (Shear Stress Induced on Job*Thickness of Cut*Uncut Chip Thickness)/sin(Shear Angle in Machining)

Force normal to shear force for given mean normal shear stress and area of shear plane

Go Normal Force Induced on Job = Shear Stress*Shear Area

Force normal to shear force for given cutting force, thrust force, and shear angle Formula

Normal Force Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining)))
F_N = (Fc*(sin(ϕ)))+(Pa*(cos(ϕ)))

What is the 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 Force normal to shear force here?

Fn is the backing up force provided by the workpiece on the chip. Forces Fs and Fn act on the chip. R is the resultant of Fs and Fn. Shear angle is the degree of angle that changes at peak frictional force and at the commencement of the experiment.

How to Calculate Force normal to shear force for given cutting force, thrust force, and shear angle?

Force normal to shear force for given cutting force, thrust force, and shear angle calculator uses Normal Force Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining))) to calculate the Normal Force Induced on Job, The Force normal to shear force for given cutting force, thrust force, and shear angle is given from the orthogonal cutting process using Merchant theory. Normal Force Induced on Job is denoted by F_N symbol.

How to calculate Force normal to shear force for given cutting force, thrust force, and shear angle using this online calculator? To use this online calculator for Force normal to shear force for given cutting force, thrust force, and shear angle, enter Cutting Force in Machining (Fc), Shear Angle in Machining (ϕ) & Axial Thrust (Pa) and hit the calculate button. Here is how the Force normal to shear force for given cutting force, thrust force, and shear angle calculation can be explained with given input values -> 634.5 = (772.3185*(sin(0.785398163397301)))+(125*(cos(0.785398163397301))).

FAQ

What is Force normal to shear force for given cutting force, thrust force, and shear angle?

The Force normal to shear force for given cutting force, thrust force, and shear angle is given from the orthogonal cutting process using Merchant theory and is represented as F_N = (Fc*(sin(ϕ)))+(Pa*(cos(ϕ))) or Normal Force Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining))). Cutting force in machining is the force in the direction of cutting, the same direction as the cutting speed, Shear angle in machining is the inclination of the shear plane with the horizontal axis at machining point & The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.

How to calculate Force normal to shear force for given cutting force, thrust force, and shear angle?

The Force normal to shear force for given cutting force, thrust force, and shear angle is given from the orthogonal cutting process using Merchant theory is calculated using Normal Force Induced on Job = (Cutting Force in Machining*(sin(Shear Angle in Machining)))+(Axial Thrust*(cos(Shear Angle in Machining))). To calculate Force normal to shear force for given cutting force, thrust force, and shear angle, you need Cutting Force in Machining (Fc), Shear Angle in Machining (ϕ) & Axial Thrust (Pa). With our tool, you need to enter the respective value for Cutting Force in Machining, Shear Angle in Machining & Axial Thrust 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 Normal Force Induced on Job?

In this formula, Normal Force Induced on Job uses Cutting Force in Machining, Shear Angle in Machining & Axial Thrust. We can use 1 other way(s) to calculate the same, which is/are as follows -

Normal Force Induced on Job = Shear Stress*Shear Area

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