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Frictional Force required to continuously Shear Junction between Surfaces Formula

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Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force. Check FAQs

F f = A c \cdot ((γ m \cdot τ 1) + ((1 - γ m) \cdot τ 2))

F_f - Force of Friction?A_c - Real Area of Contact?γ_m - Proportion of Area of Metallic Contact?τ₁ - Shear Strength of Softer Metal?τ₂ - Shear Strength of Softer Lubricant Layer?

Frictional Force required to continuously Shear Junction between Surfaces Example

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Here is how the Frictional Force required to continuously Shear Junction between Surfaces equation looks like with Values.

Here is how the Frictional Force required to continuously Shear Junction between Surfaces equation looks like with Units.

Here is how the Frictional Force required to continuously Shear Junction between Surfaces equation looks like.

25 = 1250 \cdot ((0.5 \cdot 0.03) + ((1 - 0.5) \cdot 0.01))

25N = 1250mm² \cdot ((0.5 \cdot 0.03N/mm²) + ((1 - 0.5) \cdot 0.01N/mm²))

25 = 1250 \cdot ((0.5 \cdot 0.03) + ((1 - 0.5) \cdot 0.01))

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Frictional Force required to continuously Shear Junction between Surfaces Solution

Follow our step by step solution on how to calculate Frictional Force required to continuously Shear Junction between Surfaces?

FIRST Step Consider the formula

F f = A c \cdot ((γ m \cdot τ 1) + ((1 - γ m) \cdot τ 2))

Next Step Substitute values of Variables

∴

F f = 1250mm² \cdot ((0.5 \cdot 0.03N/mm²) + ((1 - 0.5) \cdot 0.01N/mm²))

Next Step Convert Units

∴

F f = 0.0012m² \cdot ((0.5 \cdot 30000Pa) + ((1 - 0.5) \cdot 10000Pa))

Next Step Prepare to Evaluate

∴

F f = 0.0012 \cdot ((0.5 \cdot 30000) + ((1 - 0.5) \cdot 10000))

LAST Step Evaluate

∴

F f = 25N

Frictional Force required to continuously Shear Junction between Surfaces Formula Elements

Variables

Force of Friction

Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.

Symbol: F_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force of Friction

Real Area of Contact

Real Area of Contact is defined as the actual or real area that is in actual contact with the other part.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Real Area of Contact

Proportion of Area of Metallic Contact

Proportion of Area of Metallic Contact is defined as the proportion of the area supporting the load in which metal came in contact.

Symbol: γ_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportion of Area of Metallic Contact

Shear Strength of Softer Metal

Shear Strength of Softer Metal refers to the maximum stress that the metal can withstand when subjected to a shear force before it starts to deform or fail.

Symbol: τ₁

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Strength of Softer Metal

Shear Strength of Softer Lubricant Layer

Shear Strength of Softer Lubricant Layer refers to the maximum stress that the lubricant material can withstand before it undergoes shear deformation.

Symbol: τ₂

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Strength of Softer Lubricant Layer

Other formulas in Cutting Force and Surface Roughness category

Go Cutting Force given Rate of Energy Consumption during Machining

F c = \frac{Q c}{V c}

Go Cutting Force given Specific Cutting Energy in Machining

F c = Q sc \cdot A cs

Go Force required to remove Chip and Acting on Tool Face

F r = F rc - F p

Go Resultant Cutting Force using Force required to remove Chip

F rc = F r + F p

How to Evaluate Frictional Force required to continuously Shear Junction between Surfaces?

Frictional Force required to continuously Shear Junction between Surfaces evaluator uses Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)) to evaluate the Force of Friction, Frictional Force required to continuously Shear Junction between Surfaces formula is used to find the friction force required to shear the junction between surface asperities. Force of Friction is denoted by F_f symbol.

How to evaluate Frictional Force required to continuously Shear Junction between Surfaces using this online evaluator? To use this online evaluator for Frictional Force required to continuously Shear Junction between Surfaces, enter Real Area of Contact (A_c), Proportion of Area of Metallic Contact (γ_m), Shear Strength of Softer Metal (τ₁) & Shear Strength of Softer Lubricant Layer (τ₂) and hit the calculate button.

FAQs on Frictional Force required to continuously Shear Junction between Surfaces

What is the formula to find Frictional Force required to continuously Shear Junction between Surfaces?

The formula of Frictional Force required to continuously Shear Junction between Surfaces is expressed as Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)). Here is an example- 25 = 0.00125*((0.5*30000)+((1-0.5)*10000)).

How to calculate Frictional Force required to continuously Shear Junction between Surfaces?

With Real Area of Contact (A_c), Proportion of Area of Metallic Contact (γ_m), Shear Strength of Softer Metal (τ₁) & Shear Strength of Softer Lubricant Layer (τ₂) we can find Frictional Force required to continuously Shear Junction between Surfaces using the formula - Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)).

Can the Frictional Force required to continuously Shear Junction between Surfaces be negative?

No, the Frictional Force required to continuously Shear Junction between Surfaces, measured in Force cannot be negative.

Which unit is used to measure Frictional Force required to continuously Shear Junction between Surfaces?

Frictional Force required to continuously Shear Junction between Surfaces is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Frictional Force required to continuously Shear Junction between Surfaces can be measured.

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Frictional Force required to continuously Shear Junction between Surfaces Formula

Frictional Force required to continuously Shear Junction between Surfaces Example

Frictional Force required to continuously Shear Junction between Surfaces Solution

Frictional Force required to continuously Shear Junction between Surfaces Formula Elements

Other formulas in Cutting Force and Surface Roughness category

How to Evaluate Frictional Force required to continuously Shear Junction between Surfaces?

FAQs on Frictional Force required to continuously Shear Junction between Surfaces

Variable Name