Total Shear force by tool Calculator

✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force [F_c]			+10% -10%
✖Shear angle is the inclination of the shear plane with the horizontal axis at machining point.ⓘ Shear angle [ϕ]			+10% -10%
✖Thrust force is in the radial direction, i.e., in the direction perpendicular to the generated surface. It may be considered due to the reaction between the tool and the workpiece.ⓘ Thrust force [F_t]			+10% -10%

✖Total Shear Force by Tool is the resultant shear force applied by the tool to the workpiece.ⓘ Total Shear force by tool [F_s]

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Formula

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Total Shear force by tool

Formula

`"F"_{"s"} = ("F"_{"c"}*cos("ϕ"))+("F"_{"t"}*sin("ϕ"))`

Example

`"972.1977N"=("901N"*cos("11.406°"))+("450N"*sin("11.406°"))`

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Total Shear force by tool Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle))
F_s = (F_c*cos(ϕ))+(F_t*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

Total Shear Force by Tool - (Measured in Newton) - Total Shear Force by Tool is the resultant shear force applied by the tool to the workpiece.
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.
Thrust force - (Measured in Newton) - Thrust force is in the radial direction, i.e., in the direction perpendicular to the generated surface. It may be considered due to the reaction between the tool and the workpiece.

STEP 1: Convert Input(s) to Base Unit

Cutting Force: 901 Newton --> 901 Newton No Conversion Required
Shear angle: 11.406 Degree --> 0.199072254482436 Radian (Check conversion here)
Thrust force: 450 Newton --> 450 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = (F_c*cos(ϕ))+(F_t*sin(ϕ)) --> (901*cos(0.199072254482436))+(450*sin(0.199072254482436))

Evaluating ... ...

F_s = 972.197670900927

STEP 3: Convert Result to Output's Unit

972.197670900927 Newton --> No Conversion Required

FINAL ANSWER

972.197670900927 ≈ 972.1977 Newton <-- Total Shear Force by Tool

(Calculation completed in 00.004 seconds)

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Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 9 Shear Calculators

Cutting Ratio for given Shear Angle of Continuous chip

Go Cutting Ratio = tan(Shear angle)/(cos(Working Normal Rake)+(tan(Shear angle)*sin(Working Normal Rake)))

Shear Angle of Continuous Chip Formation

Go Shear angle = atan((Cutting Ratio*cos(Working Normal Rake))/(1-(Cutting Ratio*sin(Working Normal Rake))))

Total Shear force by tool

Go Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle))

Shear Force on Shear Plane

Go Shear Force = Resultant Cutting Force*cos((Shear angle+Mean Friction Angle on Tool Face-Working Normal Rake))

Shear Force on Shear Plane using Shear Strength

Go Total Shear Force by Tool = Shear Strength of Material*Cross-sectional Area of Uncut Chip/sin(Shear angle)

Area of Shear

Go Area of Shear = Cross-sectional Area of Uncut Chip/sin(Shear angle)

Shear Strength given Coefficient of Friction in Metal Cutting

Go Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material

Shear Strength of Material given Total Frictional force in metal cutting

Go Shear Strength of Material = Total Frictional Force by Tool/Area of Contact

Shear Strength of Material on Shear Plane

Go Shear Strength of Material = Total Shear Force by Tool/Area of Shear

Total Shear force by tool Formula

Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle))
F_s = (F_c*cos(ϕ))+(F_t*sin(ϕ))

What is the Significance of Shear Angle?

The shear angle is of fundamental importance in chip formation. The smaller the shear angle the larger the strain, the machining forces, and the power requirements. There is nothing in the geometry of the tool that dictates what the shear angle should be.

How to Calculate Total Shear force by tool?

Total Shear force by tool calculator uses Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle)) to calculate the Total Shear Force by Tool, Total Shear force by tool is the actual resultant shear force applied by the tool to the workpiece. Total Shear Force by Tool is denoted by F_s symbol.

How to calculate Total Shear force by tool using this online calculator? To use this online calculator for Total Shear force by tool, enter Cutting Force (F_c), Shear angle (ϕ) & Thrust force (F_t) and hit the calculate button. Here is how the Total Shear force by tool calculation can be explained with given input values -> 972.1977 = (901*cos(0.199072254482436))+(450*sin(0.199072254482436)).

FAQ

What is Total Shear force by tool?

Total Shear force by tool is the actual resultant shear force applied by the tool to the workpiece and is represented as F_s = (F_c*cos(ϕ))+(F_t*sin(ϕ)) or Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust 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 & Thrust force is in the radial direction, i.e., in the direction perpendicular to the generated surface. It may be considered due to the reaction between the tool and the workpiece.

How to calculate Total Shear force by tool?

Total Shear force by tool is the actual resultant shear force applied by the tool to the workpiece is calculated using Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle)). To calculate Total Shear force by tool, you need Cutting Force (F_c), Shear angle (ϕ) & Thrust force (F_t). With our tool, you need to enter the respective value for Cutting Force, Shear angle & Thrust 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 Total Shear Force by Tool?

In this formula, Total Shear Force by Tool uses Cutting Force, Shear angle & Thrust force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Shear Force by Tool = Shear Strength of Material*Cross-sectional Area of Uncut Chip/sin(Shear angle)

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