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Shear Strength of Softer Metal given Frictional force Formula

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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. Check FAQs

τ 1 = \frac{(\frac{F f}{A c}) - (1 - γ m) \cdot τ 2}{γ m}

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

Shear Strength of Softer Metal given Frictional force Example

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Here is how the Shear Strength of Softer Metal given Frictional force equation looks like with Values.

Here is how the Shear Strength of Softer Metal given Frictional force equation looks like with Units.

Here is how the Shear Strength of Softer Metal given Frictional force equation looks like.

0.03 = \frac{(\frac{25}{1250}) - (1 - 0.5) \cdot 0.01}{0.5}

0.03N/mm² = \frac{(\frac{25N}{1250mm²}) - (1 - 0.5) \cdot 0.01N/mm²}{0.5}

0.03 = \frac{(\frac{25}{1250}) - (1 - 0.5) \cdot 0.01}{0.5}

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Shear Strength of Softer Metal given Frictional force Solution

Follow our step by step solution on how to calculate Shear Strength of Softer Metal given Frictional force?

FIRST Step Consider the formula

τ 1 = \frac{(\frac{F f}{A c}) - (1 - γ m) \cdot τ 2}{γ m}

Next Step Substitute values of Variables

∴

τ 1 = \frac{(\frac{25N}{1250mm²}) - (1 - 0.5) \cdot 0.01N/mm²}{0.5}

Next Step Convert Units

∴

τ 1 = \frac{(\frac{25N}{0.0012m²}) - (1 - 0.5) \cdot 10000Pa}{0.5}

Next Step Prepare to Evaluate

∴

τ 1 = \frac{(\frac{25}{0.0012}) - (1 - 0.5) \cdot 10000}{0.5}

Next Step Evaluate

∴

τ 1 = 30000Pa

LAST Step Convert to Output's Unit

∴

τ 1 = 0.03N/mm²

Shear Strength of Softer Metal given Frictional force Formula Elements

Variables

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

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 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 Shear Strength of Softer Metal given Frictional force?

Shear Strength of Softer Metal given Frictional force evaluator uses Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact to evaluate the Shear Strength of Softer Metal, The Shear Strength of Softer Metal given Frictional force is defined as the shear strength of the softer metal which is used in machining. Shear Strength of Softer Metal is denoted by τ₁ symbol.

How to evaluate Shear Strength of Softer Metal given Frictional force using this online evaluator? To use this online evaluator for Shear Strength of Softer Metal given Frictional force, enter Force of Friction (F_f), Real Area of Contact (A_c), Proportion of Area of Metallic Contact (γ_m) & Shear Strength of Softer Lubricant Layer (τ₂) and hit the calculate button.

FAQs on Shear Strength of Softer Metal given Frictional force

What is the formula to find Shear Strength of Softer Metal given Frictional force?

The formula of Shear Strength of Softer Metal given Frictional force is expressed as Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact. Here is an example- 3E-8 = ((25/0.00125)-(1-0.5)*10000)/0.5.

How to calculate Shear Strength of Softer Metal given Frictional force?

With Force of Friction (F_f), Real Area of Contact (A_c), Proportion of Area of Metallic Contact (γ_m) & Shear Strength of Softer Lubricant Layer (τ₂) we can find Shear Strength of Softer Metal given Frictional force using the formula - Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact.

Can the Shear Strength of Softer Metal given Frictional force be negative?

No, the Shear Strength of Softer Metal given Frictional force, measured in Stress cannot be negative.

Which unit is used to measure Shear Strength of Softer Metal given Frictional force?

Shear Strength of Softer Metal given Frictional force is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear Strength of Softer Metal given Frictional force can be measured.

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Shear Strength of Softer Metal given Frictional force Formula

Shear Strength of Softer Metal given Frictional force Example

Shear Strength of Softer Metal given Frictional force Solution

Shear Strength of Softer Metal given Frictional force Formula Elements

Other formulas in Cutting Force and Surface Roughness category

How to Evaluate Shear Strength of Softer Metal given Frictional force?

FAQs on Shear Strength of Softer Metal given Frictional force

Variable Name