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Shear Strength of Material on Shear Plane Formula

GoShear Strength given Coefficient of Friction in Metal Cutting Formula

GoShear Strength of Material given Total Frictional force in metal cutting Formula

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

τ = \frac{F s}{A s}

τ - Shear Strength of Material?F_s - Total Shear Force By Tool?A_s - Area of Shear?

Shear Strength of Material on Shear Plane Example

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Here is how the Shear Strength of Material on Shear Plane equation looks like with Values.

Here is how the Shear Strength of Material on Shear Plane equation looks like with Units.

Here is how the Shear Strength of Material on Shear Plane equation looks like.

426.9099 = \frac{971.22}{2.275}

426.9099N/mm² = \frac{971.22N}{2.275mm²}

426.9099 = \frac{971.22}{2.275}

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Shear Strength of Material on Shear Plane Solution

Follow our step by step solution on how to calculate Shear Strength of Material on Shear Plane?

FIRST Step Consider the formula

τ = \frac{F s}{A s}

Next Step Substitute values of Variables

∴

τ = \frac{971.22N}{2.275mm²}

Next Step Convert Units

∴

τ = \frac{971.22N}{2.3E-6m²}

Next Step Prepare to Evaluate

∴

τ = \frac{971.22}{2.3E-6}

Next Step Evaluate

∴

τ = 426909890.10989Pa

Next Step Convert to Output's Unit

∴

τ = 426.90989010989N/mm²

LAST Step Rounding Answer

∴

τ = 426.9099N/mm²

Shear Strength of Material on Shear Plane Formula Elements

Variables

Shear Strength of Material

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

Symbol: τ

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Strength of Material

Total Shear Force By Tool

Total Shear Force By Tool is the resultant shear force applied by the tool to the workpiece.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Shear Force By Tool

Area of Shear

Area of Shear is defined as the area of the section which is effective in resisting shear deformation.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Shear

Other Formulas to find Shear Strength of Material

Go Shear Strength given Coefficient of Friction in Metal Cutting

τ = μ \cdot σ y

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

τ = \frac{F f}{A r}

Other formulas in Shear category

Go Cutting Ratio for given Shear Angle of Continuous chip

r c = \frac{\tan (ϕ)}{\cos (γ ne) + (\tan (ϕ) \cdot \sin (γ ne))}

Go Area of Shear

A s = \frac{A c}{\sin (ϕ)}

Go Shear Force on Shear Plane

F shear = F r \cdot \cos ((ϕ + β - γ ne))

Go Shear Force on Shear Plane using Shear Strength

F s = τ \cdot \frac{A c}{\sin (ϕ)}

How to Evaluate Shear Strength of Material on Shear Plane?

Shear Strength of Material on Shear Plane evaluator uses Shear Strength of Material = Total Shear Force By Tool/Area of Shear to evaluate 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 evaluate Shear Strength of Material on Shear Plane using this online evaluator? To use this online evaluator 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.

FAQs on Shear Strength of Material on Shear Plane

What is the formula to find Shear Strength of Material on Shear Plane?

The formula of Shear Strength of Material on Shear Plane is expressed as Shear Strength of Material = Total Shear Force By Tool/Area of Shear. Here is an example- 0.000427 = 971.22/2.275E-06.

How to calculate Shear Strength of Material on Shear Plane?

With Total Shear Force By Tool (F_s) & Area of Shear (A_s) we can find Shear Strength of Material on Shear Plane using the formula - Shear Strength of Material = Total Shear Force By Tool/Area of Shear.

What are the other ways to Calculate Shear Strength of Material?

Here are the different ways to Calculate Shear Strength of Material-

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

Can the Shear Strength of Material on Shear Plane be negative?

No, the Shear Strength of Material on Shear Plane, measured in Pressure cannot be negative.

Which unit is used to measure Shear Strength of Material on Shear Plane?

Shear Strength of Material on Shear Plane is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Shear Strength of Material on Shear Plane can be measured.

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Shear Strength of Material on Shear Plane Formula

​GoShear Strength given Coefficient of Friction in Metal Cutting Formula

​GoShear Strength of Material given Total Frictional force in metal cutting Formula

Shear Strength of Material on Shear Plane Example

Shear Strength of Material on Shear Plane Solution

Shear Strength of Material on Shear Plane Formula Elements

Other Formulas to find Shear Strength of Material

Other formulas in Shear category

How to Evaluate Shear Strength of Material on Shear Plane?

FAQs on Shear Strength of Material on Shear Plane

Variable Name

GoShear Strength given Coefficient of Friction in Metal Cutting Formula

GoShear Strength of Material given Total Frictional force in metal cutting Formula