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Axial or Thrust Component of Force on Bevel Gear Formula

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Axial or Thrust component on Bevel Gear is the force that is used to find the component of the gear and it is resolved from the resultant force acting on the gear. Check FAQs

P a = P t \cdot \tan (α Bevel) \cdot \sin (γ)

P_a - Axial or Thrust Component on Bevel Gear?P_t - Tangential Force Transmitted by Bevel Gear?α_Bevel - Pressure Angle?γ - Pitch Angle for Bevel Gear?

Axial or Thrust Component of Force on Bevel Gear Example

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Here is how the Axial or Thrust Component of Force on Bevel Gear equation looks like with Values.

Here is how the Axial or Thrust Component of Force on Bevel Gear equation looks like with Units.

Here is how the Axial or Thrust Component of Force on Bevel Gear equation looks like.

260.0084 = 743.1 \cdot \tan (22) \cdot \sin (60)

260.0084N = 743.1N \cdot \tan (22°) \cdot \sin (60°)

260.0084 = 743.1 \cdot \tan (22) \cdot \sin (60)

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Axial or Thrust Component of Force on Bevel Gear Solution

Follow our step by step solution on how to calculate Axial or Thrust Component of Force on Bevel Gear?

FIRST Step Consider the formula

P a = P t \cdot \tan (α Bevel) \cdot \sin (γ)

Next Step Substitute values of Variables

∴

P a = 743.1N \cdot \tan (22°) \cdot \sin (60°)

Next Step Convert Units

∴

P a = 743.1N \cdot \tan (0.384rad) \cdot \sin (1.0472rad)

Next Step Prepare to Evaluate

∴

P a = 743.1 \cdot \tan (0.384) \cdot \sin (1.0472)

Next Step Evaluate

∴

P a = 260.00844239617N

LAST Step Rounding Answer

∴

P a = 260.0084N

Axial or Thrust Component of Force on Bevel Gear Formula Elements

Variables

Functions

Axial or Thrust Component on Bevel Gear

Axial or Thrust component on Bevel Gear is the force that is used to find the component of the gear and it is resolved from the resultant force acting on the gear.

Symbol: P_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial or Thrust Component on Bevel Gear

Tangential Force Transmitted by Bevel Gear

Tangential force transmitted by bevel gear is the force acting tangentially to the surface and is a result of the rated torque on the machine element.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force Transmitted by Bevel Gear

Pressure Angle

The Pressure Angle for Bevel Gear is the angle between the pressure line and the common tangent to the pitch circles.

Symbol: α_Bevel

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pressure Angle

Pitch Angle for Bevel Gear

Pitch Angle for Bevel Gear is the angle that the pitch line makes with the axis of the gear. The pitch angle is also known as center angle.

Symbol: γ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pitch Angle for Bevel Gear

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)

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 Force Distribution category

Go Tangential Force on Bevel Gear Teeth

P t = \frac{M t}{r m}

Go Radial Force Component Acting on Bevel Gear

P r = P t \cdot \tan (α Bevel) \cdot \cos (γ)

Go Range ratio in preferred Series

R = \frac{UL}{LL}

How to Evaluate Axial or Thrust Component of Force on Bevel Gear?

Axial or Thrust Component of Force on Bevel Gear evaluator uses Axial or Thrust Component on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*sin(Pitch Angle for Bevel Gear) to evaluate the Axial or Thrust Component on Bevel Gear, Axial or Thrust Component of Force on Bevel Gear is one of the three resolved components of the resultant force acting at a midpoint along the face width of the tooth of two meshing teeth. It is acting axially onto a bevel gear. Axial or Thrust Component on Bevel Gear is denoted by P_a symbol.

How to evaluate Axial or Thrust Component of Force on Bevel Gear using this online evaluator? To use this online evaluator for Axial or Thrust Component of Force on Bevel Gear, enter Tangential Force Transmitted by Bevel Gear (P_t), Pressure Angle (α_Bevel) & Pitch Angle for Bevel Gear (γ) and hit the calculate button.

FAQs on Axial or Thrust Component of Force on Bevel Gear

What is the formula to find Axial or Thrust Component of Force on Bevel Gear?

The formula of Axial or Thrust Component of Force on Bevel Gear is expressed as Axial or Thrust Component on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*sin(Pitch Angle for Bevel Gear). Here is an example- 260.0084 = 743.1*tan(0.38397243543868)*sin(1.0471975511964).

How to calculate Axial or Thrust Component of Force on Bevel Gear?

With Tangential Force Transmitted by Bevel Gear (P_t), Pressure Angle (α_Bevel) & Pitch Angle for Bevel Gear (γ) we can find Axial or Thrust Component of Force on Bevel Gear using the formula - Axial or Thrust Component on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*sin(Pitch Angle for Bevel Gear). This formula also uses Sine (sin), Tangent (tan) function(s).

Can the Axial or Thrust Component of Force on Bevel Gear be negative?

No, the Axial or Thrust Component of Force on Bevel Gear, measured in Force cannot be negative.

Which unit is used to measure Axial or Thrust Component of Force on Bevel Gear?

Axial or Thrust Component of Force on Bevel Gear is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Axial or Thrust Component of Force on Bevel Gear can be measured.

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Axial or Thrust Component of Force on Bevel Gear Formula

Axial or Thrust Component of Force on Bevel Gear Example

Axial or Thrust Component of Force on Bevel Gear Solution

Axial or Thrust Component of Force on Bevel Gear Formula Elements

Other formulas in Force Distribution category

How to Evaluate Axial or Thrust Component of Force on Bevel Gear?

FAQs on Axial or Thrust Component of Force on Bevel Gear

Variable Name