Shear Strain in Machining Calculator

✖Shear Angle plane is defined as the angle made by the shear plane with the direction of tool travel.ⓘ Shear Angle Plane [φ]			+10% -10%
✖Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.ⓘ Rake Angle [α]			+10% -10%

✖Shear Strain Machining is the ratio of displacement to an object's original dimensions due to stress.ⓘ Shear Strain in Machining [γ]

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Formula

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Shear Strain in Machining

Formula

`"γ" = tan("φ"-"α")+cos("φ")`

Example

`"2.552091"=tan("75°"-"8.56°")+cos("75°")`

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Shear Strain in Machining Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane)
γ = tan(φ-α)+cos(φ)
This formula uses 2 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Shear Strain Machining - Shear Strain Machining is the ratio of displacement to an object's original dimensions due to stress.
Shear Angle Plane - (Measured in Radian) - Shear Angle plane is defined as the angle made by the shear plane with the direction of tool travel.
Rake Angle - (Measured in Radian) - Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

STEP 1: Convert Input(s) to Base Unit

Shear Angle Plane: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
Rake Angle: 8.56 Degree --> 0.149400183970687 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = tan(φ-α)+cos(φ) --> tan(1.3089969389955-0.149400183970687)+cos(1.3089969389955)

Evaluating ... ...

γ = 2.55209129960395

STEP 3: Convert Result to Output's Unit

2.55209129960395 --> No Conversion Required

FINAL ANSWER

2.55209129960395 ≈ 2.552091 <-- Shear Strain Machining

(Calculation completed in 00.004 seconds)

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Credits

Created by Kaki Varun Krishna

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Kaki Varun Krishna has created this Calculator and 25+ more calculators!

Verified by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

Abhinav Gupta has verified this Calculator and 8 more calculators!

< 20 Metal Cutting Calculators

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Go Total Minimum Cost = (Minimum Cost/((Tool Cost/Machine Cost+Tool Changing Time)*(1/Number of Rotation-1))^Number of Rotation)

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Go Shear Angle Metal = arctan((Chip Ratio*cos(Rake Angle))/(1-Chip Ratio*sin(Rake Angle)))

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Go Shear Angle Metal = atan(Width*cos(Theta)/(1-Width*sin(Theta)))

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Go Normal Force = Centripetal Force*sin(Theta)+Tangential Force*cos(Theta)

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Go Maximum Production Rate = Cost of metal cutting/(((1/Number of Rotations-1)*Tool Changing Time)^Number of Rotations)

Shear Strain in Machining

Go Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane)

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Go Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)

Bend Allowance

Go Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness of metal)

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Go Volumetric Removal Rate = Atomic Weight*Current Value/(Material Density*Valency*96500)

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Go Electro Discharge Machining = Voltage*(1-e^(-Time/(Resistance*Capacitance)))

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Extrusion and Wire Drawing

Go Extrusion and Wire Drawing = Stretch factor in Drawing operation*ln(Ratio of Area)

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Go Shear Yield Strength = Width*Feed*cosec(Shear Angle)

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Go Mass Removal Rate = Weight*Current Magnitude/(Valency*96500)

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Go Cutting Speed = pi*Diameter*Angular Speed

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Go Shear Strain = Tangential Displacement/Initial Length

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Go Maximum Profit Rate = 1/(Feed*Rotation Speed)

Peak to Valley Height given Feed and Radius

Go Peak to Valley Height = (Feed^2)/8*Radius

Shear Strain in Machining Formula

Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane)
γ = tan(φ-α)+cos(φ)

What is Shear Velocity?

Shear Velocity is the velocity with which metal of the work-piece shears along the shear plane. It is also called the velocity of the chip relative to work-piece

How to Calculate Shear Strain in Machining?

Shear Strain in Machining calculator uses Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane) to calculate the Shear Strain Machining, The Shear Strain in Machining formula is defined as Shear strain is relative to the deformation of material in shearing. Shear Strain Machining is denoted by γ symbol.

How to calculate Shear Strain in Machining using this online calculator? To use this online calculator for Shear Strain in Machining, enter Shear Angle Plane (φ) & Rake Angle (α) and hit the calculate button. Here is how the Shear Strain in Machining calculation can be explained with given input values -> 2.552091 = tan(1.3089969389955-0.149400183970687)+cos(1.3089969389955).

FAQ

What is Shear Strain in Machining?

The Shear Strain in Machining formula is defined as Shear strain is relative to the deformation of material in shearing and is represented as γ = tan(φ-α)+cos(φ) or Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane). Shear Angle plane is defined as the angle made by the shear plane with the direction of tool travel & Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

How to calculate Shear Strain in Machining?

The Shear Strain in Machining formula is defined as Shear strain is relative to the deformation of material in shearing is calculated using Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane). To calculate Shear Strain in Machining, you need Shear Angle Plane (φ) & Rake Angle (α). With our tool, you need to enter the respective value for Shear Angle Plane & Rake Angle 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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