FormulaDen.com

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

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Formula

Fx Copy

LaTeX Copy

Force alongside Shear Plane is the maximum shear stress that a material can withstand before failure occurs along the shear plane. Check FAQs

F sp = R f \cdot \cos (φ shr + β fr - α rk)

F_sp - Force Alongside Shear Plane?R_f - Resultant Force in Metal Cutting?φ_shr - Shear Angle in Metal Cutting?β_fr - Friction Angle in Metal Cutting?α_rk - Rake Angle in Metal Cutting?

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Example

With values

With units

Only example

Here is how the Force along shear force for given R of merchant circle, shear, friction, and normal rake angles equation looks like with Values.

Here is how the Force along shear force for given R of merchant circle, shear, friction, and normal rake angles equation looks like with Units.

Here is how the Force along shear force for given R of merchant circle, shear, friction, and normal rake angles equation looks like.

7.4246 = 10.5 \cdot \cos (43 + 11 - 9)

7.4246N = 10.5N \cdot \cos (43° + 11° - 9°)

7.4246 = 10.5 \cdot \cos (43 + 11 - 9)

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 Cutting » fx Force along shear force for given R of merchant circle, shear, friction, and normal rake angles

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Solution

Follow our step by step solution on how to calculate Force along shear force for given R of merchant circle, shear, friction, and normal rake angles?

FIRST Step Consider the formula

F sp = R f \cdot \cos (φ shr + β fr - α rk)

Next Step Substitute values of Variables

∴

F sp = 10.5N \cdot \cos (43° + 11° - 9°)

Next Step Convert Units

∴

F sp = 10.5N \cdot \cos (0.7505rad + 0.192rad - 0.1571rad)

Next Step Prepare to Evaluate

∴

F sp = 10.5 \cdot \cos (0.7505 + 0.192 - 0.1571)

Next Step Evaluate

∴

F sp = 7.42462120245984N

LAST Step Rounding Answer

∴

F sp = 7.4246N

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Formula Elements

Variables

Functions

Force Alongside Shear Plane

Force alongside Shear Plane is the maximum shear stress that a material can withstand before failure occurs along the shear plane.

Symbol: F_sp

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force Alongside Shear Plane

Resultant Force in Metal Cutting

Resultant Force in Metal Cutting is the vector sum of cutting force and thrust force.

Symbol: R_f

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Resultant Force in Metal Cutting

Shear Angle in Metal Cutting

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

Symbol: φ_shr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shear Angle in Metal Cutting

Friction Angle in Metal Cutting

Friction Angle in Metal Cutting is termed as the angle between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force.

Symbol: β_fr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Friction Angle in Metal Cutting

Rake Angle in Metal Cutting

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

Symbol: α_rk

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Rake Angle in Metal Cutting

cos

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

Syntax: cos(Angle)

Other formulas in Force Along Shear category

Go Force along Shear Force given Cutting Force and Thrust Force

F shear = f c \cdot \cos (φ shr) - f a \cdot \sin (φ shr)

Go Force along shear force for given force normal to shear force, shear, friction and normal rake angle

F shear = \frac{F N}{\tan (φ shr + β fr - α N)}

How to Evaluate Force along shear force for given R of merchant circle, shear, friction, and normal rake angles?

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles evaluator uses Force Alongside Shear Plane = Resultant Force in Metal Cutting*cos(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Rake Angle in Metal Cutting) to evaluate the Force Alongside Shear Plane, The Force along shear force for given R of merchant circle, shear, friction, and normal rake angles formula is defined as the cosine of the resultant force on the tool. Force Alongside Shear Plane is denoted by F_sp symbol.

How to evaluate Force along shear force for given R of merchant circle, shear, friction, and normal rake angles using this online evaluator? To use this online evaluator for Force along shear force for given R of merchant circle, shear, friction, and normal rake angles, enter Resultant Force in Metal Cutting (R_f), Shear Angle in Metal Cutting (φ_shr), Friction Angle in Metal Cutting (β_fr) & Rake Angle in Metal Cutting (α_rk) and hit the calculate button.

FAQs on Force along shear force for given R of merchant circle, shear, friction, and normal rake angles

What is the formula to find Force along shear force for given R of merchant circle, shear, friction, and normal rake angles?

The formula of Force along shear force for given R of merchant circle, shear, friction, and normal rake angles is expressed as Force Alongside Shear Plane = Resultant Force in Metal Cutting*cos(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Rake Angle in Metal Cutting). Here is an example- 7.424621 = 10.5*cos(0.750491578357421+0.19198621771934-0.15707963267946).

How to calculate Force along shear force for given R of merchant circle, shear, friction, and normal rake angles?

With Resultant Force in Metal Cutting (R_f), Shear Angle in Metal Cutting (φ_shr), Friction Angle in Metal Cutting (β_fr) & Rake Angle in Metal Cutting (α_rk) we can find Force along shear force for given R of merchant circle, shear, friction, and normal rake angles using the formula - Force Alongside Shear Plane = Resultant Force in Metal Cutting*cos(Shear Angle in Metal Cutting+Friction Angle in Metal Cutting-Rake Angle in Metal Cutting). This formula also uses Cosine (cos) function(s).

Can the Force along shear force for given R of merchant circle, shear, friction, and normal rake angles be negative?

Yes, the Force along shear force for given R of merchant circle, shear, friction, and normal rake angles, measured in Force can be negative.

Which unit is used to measure Force along shear force for given R of merchant circle, shear, friction, and normal rake angles?

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force along shear force for given R of merchant circle, shear, friction, and normal rake angles can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Formula

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Example

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Solution

Force along shear force for given R of merchant circle, shear, friction, and normal rake angles Formula Elements

Other formulas in Force Along Shear category

How to Evaluate Force along shear force for given R of merchant circle, shear, friction, and normal rake angles?

FAQs on Force along shear force for given R of merchant circle, shear, friction, and normal rake angles

Variable Name