Shear Strength of Softer Metal given Frictional force Calculator

✖Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Force of Friction [F_friction]			+10% -10%
✖Real area of contact is defined as the actual or real area that is in actual contact with the other part.ⓘ Real Area of Contact [A_r]			+10% -10%
✖The proportion of area of metallic contact is defined as the proportion of the area supporting the load in which metal came in contact.ⓘ Proportion of Area of Metallic Contact [γ_m]			+10% -10%
✖Shear Strength of Softer Lubricant Layer is the shear strength of the softer material.ⓘ Shear Strength of Softer Lubricant Layer [τ₂]			+10% -10%

✖Shear Strength of Softer Metal is the shear strength of the softer metal.ⓘ Shear Strength of Softer Metal given Frictional force [τ₁]

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Formula

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Shear Strength of Softer Metal given Frictional force

Formula

`"τ"_{"1"} = (("F"_{"friction"}/"A"_{"r"})-(1-"γ"_{"m"})*"τ"_{"2"})/"γ"_{"m"}`

Example

`"0.03N/mm²"=(("25N"/"1250mm²")-(1-"0.5")*"0.01N/mm²")/"0.5"`

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Shear Strength of Softer Metal given Frictional force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
τ₁ = ((F_friction/A_r)-(1-γ_m)*τ₂)/γ_m
This formula uses 5 Variables

Variables Used

Shear Strength of Softer Metal - (Measured in Pascal) - Shear Strength of Softer Metal is the shear strength of the softer metal.
Force of Friction - (Measured in Newton) - Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Real Area of Contact - (Measured in Square Meter) - Real area of contact is defined as the actual or real area that is in actual contact with the other part.
Proportion of Area of Metallic Contact - The proportion of area of metallic contact is defined as the proportion of the area supporting the load in which metal came in contact.
Shear Strength of Softer Lubricant Layer - (Measured in Pascal) - Shear Strength of Softer Lubricant Layer is the shear strength of the softer material.

STEP 1: Convert Input(s) to Base Unit

Force of Friction: 25 Newton --> 25 Newton No Conversion Required
Real Area of Contact: 1250 Square Millimeter --> 0.00125 Square Meter (Check conversion here)
Proportion of Area of Metallic Contact: 0.5 --> No Conversion Required
Shear Strength of Softer Lubricant Layer: 0.01 Newton per Square Millimeter --> 10000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ₁ = ((F_friction/A_r)-(1-γ_m)*τ₂)/γ_m --> ((25/0.00125)-(1-0.5)*10000)/0.5

Evaluating ... ...

τ₁ = 30000

STEP 3: Convert Result to Output's Unit

30000 Pascal -->0.03 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.03 Newton per Square Millimeter <-- Shear Strength of Softer Metal

(Calculation completed in 00.017 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Shear Strength of Softer Metal given Frictional force

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 21 Cutting Force and Surface Roughness Calculators

Frictional Force required to continuously shear junction between surfaces

Go 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))

Shear Strength of Softer Lubricant layer given Frictional force

Go Shear Strength of Softer Lubricant Layer = ((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)

Area of contact given Frictional Force

Go Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))

Proportion of Area in which metallic contact occurs given Frictional Force

Go Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer)

Shear Strength of Softer Metal given Frictional force

Go 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

Working major cutting edge Angle given Roughness value

Go Working Major Cutting-Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))

Working minor cutting edge Angle given Roughness value

Go Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting-Edge Angle)))

Roughness Value

Go Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))

Feed given Roughness value

Go Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value

Rotational Frequency of Cutter given Roughness Value

Go Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed

Feed speed given Roughness value

Go Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter

Diameter of Cutter given Roughness Value

Go Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2)

Roughness value given feed speed

Go Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)

Cutting Force given Specific Cutting Energy in Machining

Go Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip

Cutting Force given Rate of Energy Consumption during Machining

Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed

Resultant Cutting Force using Force required to remove Chip

Go Resultant Cutting Force = Force Required to Remove Chip+Plowing Force

Force required to remove Chip and acting on Tool Face

Go Force Required to Remove Chip = Resultant Cutting Force-Plowing Force

Feed given Roughness Value and corner radius

Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)

Roughness value given corner radius

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Corner Radius given Roughness value

Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value

Roughness value of tool

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Shear Strength of Softer Metal given Frictional force Formula

What are disadvantages of friction?

Disadvantages of friction:
It always resists the motion, so extra energy is required to overcome it.
It causes wear and tear of machines.
It decreases the life expectancy of moving parts of vehicles.
Since friction is very useful in some cases while harmful in some cases, friction is called a necessary evil.

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

Shear Strength of Softer Metal given Frictional force calculator 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 calculate 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 calculate Shear Strength of Softer Metal given Frictional force using this online calculator? To use this online calculator for Shear Strength of Softer Metal given Frictional force, enter Force of Friction (F_friction), Real Area of Contact (A_r), Proportion of Area of Metallic Contact (γ_m) & Shear Strength of Softer Lubricant Layer (τ₂) and hit the calculate button. Here is how the Shear Strength of Softer Metal given Frictional force calculation can be explained with given input values -> 3E-8 = ((25/0.00125)-(1-0.5)*10000)/0.5.

FAQ

What is Shear Strength of Softer Metal given Frictional force?

The Shear Strength of Softer Metal given Frictional force is defined as the shear strength of the softer metal which is used in machining and is represented as τ₁ = ((F_friction/A_r)-(1-γ_m)*τ₂)/γ_m or 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. Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, Real area of contact is defined as the actual or real area that is in actual contact with the other part, The proportion of area of metallic contact is defined as the proportion of the area supporting the load in which metal came in contact & Shear Strength of Softer Lubricant Layer is the shear strength of the softer material.

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

The Shear Strength of Softer Metal given Frictional force is defined as the shear strength of the softer metal which is used in machining is calculated using 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 calculate Shear Strength of Softer Metal given Frictional force, you need Force of Friction (F_friction), Real Area of Contact (A_r), Proportion of Area of Metallic Contact (γ_m) & Shear Strength of Softer Lubricant Layer (τ₂). With our tool, you need to enter the respective value for Force of Friction, Real Area of Contact, Proportion of Area of Metallic Contact & Shear Strength of Softer Lubricant Layer and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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