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Shear Strain in Machining Formula

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Shear Strain Machining is the ratio of displacement to an object's original dimensions due to stress. Check FAQs

γ = \tan (φ - α) + \cos (φ)

γ - Shear Strain Machining?φ - Shear Angle Plane?α - Rake Angle?

Shear Strain in Machining Example

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Here is how the Shear Strain in Machining equation looks like with Values.

Here is how the Shear Strain in Machining equation looks like with Units.

Here is how the Shear Strain in Machining equation looks like.

2.5521 = \tan (75 - 8.56) + \cos (75)

2.5521 = \tan (75° - 8.56°) + \cos (75°)

2.5521 = \tan (75 - 8.56) + \cos (75)

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Shear Strain in Machining Solution

Follow our step by step solution on how to calculate Shear Strain in Machining?

FIRST Step Consider the formula

γ = \tan (φ - α) + \cos (φ)

Next Step Substitute values of Variables

∴

γ = \tan (75° - 8.56°) + \cos (75°)

Next Step Convert Units

∴

γ = \tan (1.309rad - 0.1494rad) + \cos (1.309rad)

Next Step Prepare to Evaluate

∴

γ = \tan (1.309 - 0.1494) + \cos (1.309)

Next Step Evaluate

∴

γ = 2.55209129960395

LAST Step Rounding Answer

∴

γ = 2.5521

Shear Strain in Machining Formula Elements

Variables

Functions

Shear Strain Machining

Shear Strain Machining is the ratio of displacement to an object's original dimensions due to stress.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Strain Machining

Shear Angle Plane

Shear Angle plane is defined as the angle made by the shear plane with the direction of tool travel.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shear Angle Plane

Rake Angle

Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Rake Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: tan(Angle)

Other formulas in Metal Cutting category

Go Shear Angle

ϕ = a \tan (w \cdot \frac{\cos (θ)}{1 - w \cdot \sin (θ)})

Go Shear Force

F s = Fc \cdot \cos (θ) - P t \cdot \sin (θ)

Go Shear Plane Angle

ϕ = \arctan (\frac{r \cdot \cos (α)}{1 - r \cdot \sin (α)})

Go Shear Strain

𝜂 = \tan (ϕ) + \cot (ϕ - α)

How to Evaluate Shear Strain in Machining?

Shear Strain in Machining evaluator uses Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane) to evaluate 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 evaluate Shear Strain in Machining using this online evaluator? To use this online evaluator for Shear Strain in Machining, enter Shear Angle Plane (φ) & Rake Angle (α) and hit the calculate button.

FAQs on Shear Strain in Machining

What is the formula to find Shear Strain in Machining?

The formula of Shear Strain in Machining is expressed as Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane). Here is an example- 2.552091 = tan(1.3089969389955-0.149400183970687)+cos(1.3089969389955).

How to calculate Shear Strain in Machining?

With Shear Angle Plane (φ) & Rake Angle (α) we can find Shear Strain in Machining using the formula - Shear Strain Machining = tan(Shear Angle Plane-Rake Angle)+cos(Shear Angle Plane). This formula also uses Cosine, Tangent function(s).

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