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Radial Force Component Acting on Bevel Gear Formula

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Radial Force on bevel gear is defined as the force acting on the gear in a radial direction. Check FAQs

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

P_r - Radial Force on Bevel Gear?P_t - Tangential Force Transmitted by Bevel Gear?α_Bevel - Pressure Angle?γ - Pitch Angle for Bevel Gear?

Radial Force Component Acting on Bevel Gear Example

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Here is how the Radial Force Component Acting on Bevel Gear equation looks like with Values.

Here is how the Radial Force Component Acting on Bevel Gear equation looks like with Units.

Here is how the Radial Force Component Acting on Bevel Gear equation looks like.

150.1159 = 743.1 \cdot \tan (22) \cdot \cos (60)

150.1159N = 743.1N \cdot \tan (22°) \cdot \cos (60°)

150.1159 = 743.1 \cdot \tan (22) \cdot \cos (60)

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Radial Force Component Acting on Bevel Gear Solution

Follow our step by step solution on how to calculate Radial Force Component Acting on Bevel Gear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P r = 743.1N \cdot \tan (22°) \cdot \cos (60°)

Next Step Convert Units

∴

P r = 743.1N \cdot \tan (0.384rad) \cdot \cos (1.0472rad)

Next Step Prepare to Evaluate

∴

P r = 743.1 \cdot \tan (0.384) \cdot \cos (1.0472)

Next Step Evaluate

∴

P r = 150.115944209073N

LAST Step Rounding Answer

∴

P r = 150.1159N

Radial Force Component Acting on Bevel Gear Formula Elements

Variables

Functions

Radial Force on Bevel Gear

Radial Force on bevel gear is defined as the force acting on the gear in a radial direction.

Symbol: P_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Radial Force 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

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 Force Distribution category

Go Tangential Force on Bevel Gear Teeth

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

Go Axial or Thrust Component of Force on Bevel Gear

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

Go Range ratio in preferred Series

R = \frac{UL}{LL}

How to Evaluate Radial Force Component Acting on Bevel Gear?

Radial Force Component Acting on Bevel Gear evaluator uses Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear) to evaluate the Radial Force on Bevel Gear, The Radial force component acting 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 defined as the force acting on the bevel gear radially. Radial Force on Bevel Gear is denoted by P_r symbol.

How to evaluate Radial Force Component Acting on Bevel Gear using this online evaluator? To use this online evaluator for Radial Force Component Acting 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 Radial Force Component Acting on Bevel Gear

What is the formula to find Radial Force Component Acting on Bevel Gear?

The formula of Radial Force Component Acting on Bevel Gear is expressed as Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear). Here is an example- 150.1159 = 743.1*tan(0.38397243543868)*cos(1.0471975511964).

How to calculate Radial Force Component Acting 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 Radial Force Component Acting on Bevel Gear using the formula - Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear). This formula also uses Cosine (cos), Tangent (tan) function(s).

Can the Radial Force Component Acting on Bevel Gear be negative?

No, the Radial Force Component Acting on Bevel Gear, measured in Force cannot be negative.

Which unit is used to measure Radial Force Component Acting on Bevel Gear?

Radial Force Component Acting 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 Radial Force Component Acting on Bevel Gear can be measured.

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Radial Force Component Acting on Bevel Gear Formula

Radial Force Component Acting on Bevel Gear Example

Radial Force Component Acting on Bevel Gear Solution

Radial Force Component Acting on Bevel Gear Formula Elements

Other formulas in Force Distribution category

How to Evaluate Radial Force Component Acting on Bevel Gear?

FAQs on Radial Force Component Acting on Bevel Gear

Variable Name