FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Shear Angle of Continuous Chip Formation Formula

Fx Copy

LaTeX Copy

Shear Angle is the inclination of the shear plane with the horizontal axis at machining point. Check FAQs

ϕ = a \tan (\frac{r c \cdot \cos (γ ne)}{1 - (r c \cdot \sin (γ ne))})

ϕ - Shear Angle?r_c - Cutting Ratio?γ_ne - Working Normal Rake?

Shear Angle of Continuous Chip Formation Example

With values

With units

Only example

Here is how the Shear Angle of Continuous Chip Formation equation looks like with Values.

Here is how the Shear Angle of Continuous Chip Formation equation looks like with Units.

Here is how the Shear Angle of Continuous Chip Formation equation looks like.

11.4057 = a \tan (\frac{0.2 \cdot \cos (20)}{1 - (0.2 \cdot \sin (20))})

11.4057° = a \tan (\frac{0.2 \cdot \cos (20°)}{1 - (0.2 \cdot \sin (20°))})

11.4057 = a \tan (\frac{0.2 \cdot \cos (20)}{1 - (0.2 \cdot \sin (20))})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Shear Angle of Continuous Chip Formation

Shear Angle of Continuous Chip Formation Solution

Follow our step by step solution on how to calculate Shear Angle of Continuous Chip Formation?

FIRST Step Consider the formula

ϕ = a \tan (\frac{r c \cdot \cos (γ ne)}{1 - (r c \cdot \sin (γ ne))})

Next Step Substitute values of Variables

∴

ϕ = a \tan (\frac{0.2 \cdot \cos (20°)}{1 - (0.2 \cdot \sin (20°))})

Next Step Convert Units

∴

ϕ = a \tan (\frac{0.2 \cdot \cos (0.3491rad)}{1 - (0.2 \cdot \sin (0.3491rad))})

Next Step Prepare to Evaluate

∴

ϕ = a \tan (\frac{0.2 \cdot \cos (0.3491)}{1 - (0.2 \cdot \sin (0.3491))})

Next Step Evaluate

∴

ϕ = 0.199066376665285rad

Next Step Convert to Output's Unit

∴

ϕ = 11.4056632258845°

LAST Step Rounding Answer

∴

ϕ = 11.4057°

Shear Angle of Continuous Chip Formation Formula Elements

Variables

Functions

Shear Angle

Shear Angle is the inclination of the shear plane with the horizontal axis at machining point.

Symbol: ϕ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shear Angle

Cutting Ratio

The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting.

Symbol: r_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cutting Ratio

Working Normal Rake

The Working Normal Rake angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.

Symbol: γ_ne

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Working Normal Rake

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Shear category

Go Cutting Ratio for given Shear Angle of Continuous chip

r c = \frac{\tan (ϕ)}{\cos (γ ne) + (\tan (ϕ) \cdot \sin (γ ne))}

Go Area of Shear

A s = \frac{A c}{\sin (ϕ)}

Go Shear Force on Shear Plane

F shear = F r \cdot \cos ((ϕ + β - γ ne))

Go Shear Force on Shear Plane using Shear Strength

F s = τ \cdot \frac{A c}{\sin (ϕ)}

How to Evaluate Shear Angle of Continuous Chip Formation?

Shear Angle of Continuous Chip Formation evaluator uses Shear Angle = atan((Cutting Ratio*cos(Working Normal Rake))/(1-(Cutting Ratio*sin(Working Normal Rake)))) to evaluate the Shear Angle, The Shear Angle of Continuous Chip Formation is the angle between the horizontal plane and the shear plane. Shear Angle is denoted by ϕ symbol.

How to evaluate Shear Angle of Continuous Chip Formation using this online evaluator? To use this online evaluator for Shear Angle of Continuous Chip Formation, enter Cutting Ratio (r_c) & Working Normal Rake (γ_ne) and hit the calculate button.

FAQs on Shear Angle of Continuous Chip Formation

What is the formula to find Shear Angle of Continuous Chip Formation?

The formula of Shear Angle of Continuous Chip Formation is expressed as Shear Angle = atan((Cutting Ratio*cos(Working Normal Rake))/(1-(Cutting Ratio*sin(Working Normal Rake)))). Here is an example- 653.4964 = atan((0.2*cos(0.3490658503988))/(1-(0.2*sin(0.3490658503988)))).

How to calculate Shear Angle of Continuous Chip Formation?

With Cutting Ratio (r_c) & Working Normal Rake (γ_ne) we can find Shear Angle of Continuous Chip Formation using the formula - Shear Angle = atan((Cutting Ratio*cos(Working Normal Rake))/(1-(Cutting Ratio*sin(Working Normal Rake)))). This formula also uses Sine (sin)Cosine (cos)Tangent (tan), Inverse Tan (atan) function(s).

Can the Shear Angle of Continuous Chip Formation be negative?

No, the Shear Angle of Continuous Chip Formation, measured in Angle cannot be negative.

Which unit is used to measure Shear Angle of Continuous Chip Formation?

Shear Angle of Continuous Chip Formation is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Shear Angle of Continuous Chip Formation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!