Shear Strength given Coefficient of Friction in Metal Cutting Calculator

✖The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ]			+10% -10%
✖Yield Pressure of Softer Material is the magnitude of the stress at which an object ceases to be elastic and transforms to plastic.ⓘ Yield Pressure of Softer Material [σ_y]			+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 given Coefficient of Friction in Metal Cutting [τ]

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Formula

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Shear Strength given Coefficient of Friction in Metal Cutting

Formula

`"τ" = "μ"*"σ"_{"y"}`

Example

`"426.894N/mm²"="1.3"*"328.38N/mm²"`

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Shear Strength given Coefficient of Friction in Metal Cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material
τ = μ*σ_y
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.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Yield Pressure of Softer Material - (Measured in Pascal) - Yield Pressure of Softer Material is the magnitude of the stress at which an object ceases to be elastic and transforms to plastic.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 1.3 --> No Conversion Required
Yield Pressure of Softer Material: 328.38 Newton per Square Millimeter --> 328380000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = μ*σ_y --> 1.3*328380000

Evaluating ... ...

τ = 426894000

STEP 3: Convert Result to Output's Unit

426894000 Pascal -->426.894 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

426.894 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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Osmania University (OU), Hyderabad

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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 given Coefficient of Friction in Metal Cutting Formula

Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material
τ = μ*σ_y

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 given Coefficient of Friction in Metal Cutting?

Shear Strength given Coefficient of Friction in Metal Cutting calculator uses Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material to calculate the Shear Strength of Material, Shear Strength given coefficient of friction 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 given Coefficient of Friction in Metal Cutting using this online calculator? To use this online calculator for Shear Strength given Coefficient of Friction in Metal Cutting, enter Coefficient of Friction (μ) & Yield Pressure of Softer Material (σ_y) and hit the calculate button. Here is how the Shear Strength given Coefficient of Friction in Metal Cutting calculation can be explained with given input values -> 0.000427 = 1.3*328380000.

FAQ

What is Shear Strength given Coefficient of Friction in Metal Cutting?

Shear Strength given coefficient of friction 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 = μ*σ_y or Shear Strength of Material = Coefficient of Friction*Yield Pressure of Softer Material. The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & Yield Pressure of Softer Material is the magnitude of the stress at which an object ceases to be elastic and transforms to plastic.

How to calculate Shear Strength given Coefficient of Friction in Metal Cutting?

Shear Strength given coefficient of friction 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 = Coefficient of Friction*Yield Pressure of Softer Material. To calculate Shear Strength given Coefficient of Friction in Metal Cutting, you need Coefficient of Friction (μ) & Yield Pressure of Softer Material (σ_y). With our tool, you need to enter the respective value for Coefficient of Friction & Yield Pressure of Softer Material 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 Coefficient of Friction & Yield Pressure of Softer Material. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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