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Thrust force for given cutting force, shear angle and force along shear force Formula

GoThrust force for given cutting force, shear angle and force normal to shear force Formula

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Thrust perpendicular to workpiece can be referred resultant of forces represented as a single vector normal to workpiece. Check FAQs

F a = \frac{F c \cdot \cos (ϕ s) - F s}{\sin (ϕ s)}

F_a - Thrust Perpendicular to Workpiece?F_c - Cutting Force on Job?ϕ_s - Shear Angle for Machining?F_s - Shear Force on Workpiece?

Thrust force for given cutting force, shear angle and force along shear force Example

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Here is how the Thrust force for given cutting force, shear angle and force along shear force equation looks like with Values.

Here is how the Thrust force for given cutting force, shear angle and force along shear force equation looks like with Units.

Here is how the Thrust force for given cutting force, shear angle and force along shear force equation looks like.

24.8077 = \frac{50 \cdot \cos (35) - 26.7285}{\sin (35)}

24.8077N = \frac{50N \cdot \cos (35°) - 26.7285N}{\sin (35°)}

24.8077 = \frac{50 \cdot \cos (35) - 26.7285}{\sin (35)}

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Thrust force for given cutting force, shear angle and force along shear force Solution

Follow our step by step solution on how to calculate Thrust force for given cutting force, shear angle and force along shear force?

FIRST Step Consider the formula

F a = \frac{F c \cdot \cos (ϕ s) - F s}{\sin (ϕ s)}

Next Step Substitute values of Variables

∴

F a = \frac{50N \cdot \cos (35°) - 26.7285N}{\sin (35°)}

Next Step Convert Units

∴

F a = \frac{50N \cdot \cos (0.6109rad) - 26.7285N}{\sin (0.6109rad)}

Next Step Prepare to Evaluate

∴

F a = \frac{50 \cdot \cos (0.6109) - 26.7285}{\sin (0.6109)}

Next Step Evaluate

∴

F a = 24.807682660357N

LAST Step Rounding Answer

∴

F a = 24.8077N

Thrust force for given cutting force, shear angle and force along shear force Formula Elements

Variables

Functions

Thrust Perpendicular to Workpiece

Thrust perpendicular to workpiece can be referred resultant of forces represented as a single vector normal to workpiece.

Symbol: F_a

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Thrust Perpendicular to Workpiece

Cutting Force on Job

Cutting force on job is the force in the direction of cutting, the same direction as the cutting speed.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Cutting Force on Job

Shear Angle for Machining

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

Symbol: ϕ_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shear Angle for Machining

Shear Force on Workpiece

Shear force on workpiece is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force on Workpiece

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)

Other Formulas to find Thrust Perpendicular to Workpiece

Go Thrust force for given cutting force, shear angle and force normal to shear force

F a = \frac{F N - F c \cdot \sin (ϕ s)}{\cos (ϕ s)}

Other formulas in Thrust Force category

Go Thrust force for given frictional force along tool rake face, cutting force and normal rake angle

F t = \frac{F fr - F c \cdot \sin (α N)}{\cos (α N)}

Go Thrust Force given Cutting Force and Normal Rake Angle

F t = \frac{F c \cdot \cos (α N) - F N}{\sin (α N)}

How to Evaluate Thrust force for given cutting force, shear angle and force along shear force?

Thrust force for given cutting force, shear angle and force along shear force evaluator uses Thrust Perpendicular to Workpiece = (Cutting Force on Job*cos(Shear Angle for Machining)-Shear Force on Workpiece)/(sin(Shear Angle for Machining)) to evaluate the Thrust Perpendicular to Workpiece, Thrust force for given cutting force, shear angle and force along shear force acts in the direction perpendicular to the generated surface and thrust force is measured by a dynamometer. Thrust Perpendicular to Workpiece is denoted by F_a symbol.

How to evaluate Thrust force for given cutting force, shear angle and force along shear force using this online evaluator? To use this online evaluator for Thrust force for given cutting force, shear angle and force along shear force, enter Cutting Force on Job (F_c), Shear Angle for Machining (ϕ_s) & Shear Force on Workpiece (F_s) and hit the calculate button.

FAQs on Thrust force for given cutting force, shear angle and force along shear force

What is the formula to find Thrust force for given cutting force, shear angle and force along shear force?

The formula of Thrust force for given cutting force, shear angle and force along shear force is expressed as Thrust Perpendicular to Workpiece = (Cutting Force on Job*cos(Shear Angle for Machining)-Shear Force on Workpiece)/(sin(Shear Angle for Machining)). Here is an example- 24.80768 = (50*cos(0.610865238197901)-26.7285)/(sin(0.610865238197901)).

How to calculate Thrust force for given cutting force, shear angle and force along shear force?

With Cutting Force on Job (F_c), Shear Angle for Machining (ϕ_s) & Shear Force on Workpiece (F_s) we can find Thrust force for given cutting force, shear angle and force along shear force using the formula - Thrust Perpendicular to Workpiece = (Cutting Force on Job*cos(Shear Angle for Machining)-Shear Force on Workpiece)/(sin(Shear Angle for Machining)). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Thrust Perpendicular to Workpiece?

Here are the different ways to Calculate Thrust Perpendicular to Workpiece-

Thrust Perpendicular to Workpiece=(Normal Force on Job-Cutting Force on Job*sin(Shear Angle for Machining))/(cos(Shear Angle for Machining))

Can the Thrust force for given cutting force, shear angle and force along shear force be negative?

Yes, the Thrust force for given cutting force, shear angle and force along shear force, measured in Force can be negative.

Which unit is used to measure Thrust force for given cutting force, shear angle and force along shear force?

Thrust force for given cutting force, shear angle and force along shear force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Thrust force for given cutting force, shear angle and force along shear force can be measured.

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Thrust force for given cutting force, shear angle and force along shear force Formula

​GoThrust force for given cutting force, shear angle and force normal to shear force Formula

Thrust force for given cutting force, shear angle and force along shear force Example

Thrust force for given cutting force, shear angle and force along shear force Solution

Thrust force for given cutting force, shear angle and force along shear force Formula Elements

Other Formulas to find Thrust Perpendicular to Workpiece

Other formulas in Thrust Force category

How to Evaluate Thrust force for given cutting force, shear angle and force along shear force?

FAQs on Thrust force for given cutting force, shear angle and force along shear force

Variable Name

GoThrust force for given cutting force, shear angle and force normal to shear force Formula