Shear Strength of Material given Total Frictional force in metal cutting Calculator

✖The Total Frictional Force by Tool is the total amount of friction force generated while machining.ⓘ Total Frictional Force by Tool [F_f]			+10% -10%
✖Area of Contact is defined as the area which is in the contact with the surface of the tool.ⓘ Area of Contact [A_r]			+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 given Total Frictional force in metal cutting [τ]

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Formula

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Shear Strength of Material given Total Frictional force in metal cutting

Formula

`"τ" = "F"_{"f"}/"A"_{"r"}`

Example

`"426.9006N/mm²"="772.69N"/"1.81mm²"`

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Shear Strength of Material given Total Frictional force in metal cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength of Material = Total Frictional Force by Tool/Area of Contact
τ = F_f/A_r
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 Frictional Force by Tool - (Measured in Newton) - The Total Frictional Force by Tool is the total amount of friction force generated while machining.
Area of Contact - (Measured in Square Meter) - Area of Contact is defined as the area which is in the contact with the surface of the tool.

STEP 1: Convert Input(s) to Base Unit

Total Frictional Force by Tool: 772.69 Newton --> 772.69 Newton No Conversion Required
Area of Contact: 1.81 Square Millimeter --> 1.81E-06 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = F_f/A_r --> 772.69/1.81E-06

Evaluating ... ...

τ = 426900552.486188

STEP 3: Convert Result to Output's Unit

426900552.486188 Pascal -->426.900552486188 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

426.900552486188 ≈ 426.9006 Newton per Square Millimeter <-- Shear Strength of Material

(Calculation completed in 00.004 seconds)

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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 given Total Frictional force in metal cutting Formula

Shear Strength of Material = Total Frictional Force by Tool/Area of Contact
τ = F_f/A_r

What is Shear Strength?

In engineering, shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

How to Calculate Shear Strength of Material given Total Frictional force in metal cutting?

Shear Strength of Material given Total Frictional force in metal cutting calculator uses Shear Strength of Material = Total Frictional Force by Tool/Area of Contact to calculate the Shear Strength of Material, The Shear Strength of Material given Total Frictional force in metal cutting is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. Shear Strength of Material is denoted by τ symbol.

How to calculate Shear Strength of Material given Total Frictional force in metal cutting using this online calculator? To use this online calculator for Shear Strength of Material given Total Frictional force in metal cutting, enter Total Frictional Force by Tool (F_f) & Area of Contact (A_r) and hit the calculate button. Here is how the Shear Strength of Material given Total Frictional force in metal cutting calculation can be explained with given input values -> 0.000427 = 772.69/1.81E-06.

FAQ

What is Shear Strength of Material given Total Frictional force in metal cutting?

The Shear Strength of Material given Total Frictional force in metal cutting is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear and is represented as τ = F_f/A_r or Shear Strength of Material = Total Frictional Force by Tool/Area of Contact. The Total Frictional Force by Tool is the total amount of friction force generated while machining & Area of Contact is defined as the area which is in the contact with the surface of the tool.

How to calculate Shear Strength of Material given Total Frictional force in metal cutting?

The Shear Strength of Material given Total Frictional force in metal cutting is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear is calculated using Shear Strength of Material = Total Frictional Force by Tool/Area of Contact. To calculate Shear Strength of Material given Total Frictional force in metal cutting, you need Total Frictional Force by Tool (F_f) & Area of Contact (A_r). With our tool, you need to enter the respective value for Total Frictional Force by Tool & Area of Contact 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 Frictional Force by Tool & Area of Contact. 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 Shear Force by Tool/Area of Shear

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