Shear Strength of Material on Shear Plane Calculator

✖Total Shear Force by Tool is the resultant shear force applied by the tool to the workpiece.ⓘ Total Shear Force by Tool [F_s]			+10% -10%
✖Area of Shear is defined as the area of the section which is effective in resisting shear deformation.ⓘ Area of Shear [A_s]			+10% -10%

✖Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.ⓘ Shear Strength of Material on Shear Plane [τ]

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Formula

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Shear Strength of Material on Shear Plane

Formula

`"τ" = "F"_{"s"}/"A"_{"s"}`

Example

`"426.9099N/mm²"="971.22N"/"2.275mm²"`

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Shear Strength of Material on Shear Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength of Material = Total Shear Force by Tool/Area of Shear
τ = F_s/A_s
This formula uses 3 Variables

Variables Used

Shear Strength of Material - (Measured in Pascal) - Shear Strength of Material is the maximum amount of shear stress that can be tolerated by material before its failure by shear mode.
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.
Area of Shear - (Measured in Square Meter) - Area of Shear is defined as the area of the section which is effective in resisting shear deformation.

STEP 1: Convert Input(s) to Base Unit

Total Shear Force by Tool: 971.22 Newton --> 971.22 Newton No Conversion Required
Area of Shear: 2.275 Square Millimeter --> 2.275E-06 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = F_s/A_s --> 971.22/2.275E-06

Evaluating ... ...

τ = 426909890.10989

STEP 3: Convert Result to Output's Unit

426909890.10989 Pascal -->426.90989010989 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

426.90989010989 ≈ 426.9099 Newton per Square Millimeter <-- Shear Strength of Material

(Calculation completed in 00.006 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Theory of Ernst and Merchant » Shear » Shear Strength of Material on Shear Plane

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< 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

Shear Strength of Material on Shear Plane Formula

Shear Strength of Material = Total Shear Force by Tool/Area of Shear
τ = F_s/A_s

What is shear strength of material?

Shear Strength of Material on the Shear PLane is the maximum amount of shear stress that can be tolerated by the material before its failure by shear mode.

How to Calculate Shear Strength of Material on Shear Plane?

Shear Strength of Material on Shear Plane calculator uses Shear Strength of Material = Total Shear Force by Tool/Area of Shear to calculate the Shear Strength of Material, Shear Strength of Material on Shear Plane is the maximum amount of shear stress that can be tolerated by the material before its failure by shear mode. Shear Strength of Material is denoted by τ symbol.

How to calculate Shear Strength of Material on Shear Plane using this online calculator? To use this online calculator for Shear Strength of Material on Shear Plane, enter Total Shear Force by Tool (F_s) & Area of Shear (A_s) and hit the calculate button. Here is how the Shear Strength of Material on Shear Plane calculation can be explained with given input values -> 0.000427 = 971.22/2.275E-06.

FAQ

What is Shear Strength of Material on Shear Plane?

Shear Strength of Material on Shear Plane is the maximum amount of shear stress that can be tolerated by the material before its failure by shear mode and is represented as τ = F_s/A_s or Shear Strength of Material = Total Shear Force by Tool/Area of Shear. Total Shear Force by Tool is the resultant shear force applied by the tool to the workpiece & Area of Shear is defined as the area of the section which is effective in resisting shear deformation.

How to calculate Shear Strength of Material on Shear Plane?

Shear Strength of Material on Shear Plane is the maximum amount of shear stress that can be tolerated by the material before its failure by shear mode is calculated using Shear Strength of Material = Total Shear Force by Tool/Area of Shear. To calculate Shear Strength of Material on Shear Plane, you need Total Shear Force by Tool (F_s) & Area of Shear (A_s). With our tool, you need to enter the respective value for Total Shear Force by Tool & Area of Shear 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 Shear Strength of Material?

In this formula, Shear Strength of Material uses Total Shear Force by Tool & Area of Shear. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material
Shear Strength of Material = Total Frictional Force by Tool/Area of Contact

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