Radial Force Component Acting on Bevel Gear Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Bevel Gears

Design of Helical Gears

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✖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.ⓘ Tangential Force Transmitted by Bevel Gear [P_t]			+10% -10%
✖The Pressure Angle for Bevel Gear is the angle between the pressure line and the common tangent to the pitch circles.ⓘ Pressure Angle [α_Bevel]			+10% -10%
✖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.ⓘ Pitch Angle for Bevel Gear [γ]			+10% -10%

✖Radial Force on bevel gear is defined as the force acting on the gear in a radial direction.ⓘ Radial Force Component Acting on Bevel Gear [P_r]

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Formula

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Radial Force Component Acting on Bevel Gear

Formula

`"P"_{"r"} = "P"_{"t"}*tan("α"_{"Bevel"})*cos("γ")`

Example

`"150.1159N"="743.1N"*tan("22°")*cos("60°")`

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Radial Force Component Acting on Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear)
P_r = P_t*tan(α_Bevel)*cos(γ)
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., tan(Angle)

Variables Used

Radial Force on Bevel Gear - (Measured in Newton) - Radial Force on bevel gear is defined as the force acting on the gear in a radial direction.
Tangential Force Transmitted by Bevel Gear - (Measured in Newton) - 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.
Pressure Angle - (Measured in Radian) - The Pressure Angle for Bevel Gear is the angle between the pressure line and the common tangent to the pitch circles.
Pitch Angle for Bevel Gear - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Tangential Force Transmitted by Bevel Gear: 743.1 Newton --> 743.1 Newton No Conversion Required
Pressure Angle: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Pitch Angle for Bevel Gear: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = P_t*tan(α_Bevel)*cos(γ) --> 743.1*tan(0.38397243543868)*cos(1.0471975511964)

Evaluating ... ...

P_r = 150.115944209073

STEP 3: Convert Result to Output's Unit

150.115944209073 Newton --> No Conversion Required

FINAL ANSWER

150.115944209073 ≈ 150.1159 Newton <-- Radial Force on Bevel Gear

(Calculation completed in 00.004 seconds)

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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National Institute Of Technology (NIT), Hamirpur

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< 4 Force Distribution Calculators

Axial or Thrust Component of Force on Bevel Gear

Go Axial or Thrust Component on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*sin(Pitch Angle for Bevel Gear)

Radial Force Component Acting on Bevel Gear

Go Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear)

Range ratio in preferred Series

Go Range ratio in preferred Series = (Maximum dimension/rating of product)/(Minimum dimension/rating of product)

Tangential Force on Bevel Gear Teeth

Go Tangential Force Transmitted by Bevel Gear = Torque Transmitted by Bevel Pinion/Radius of Pinion at Midpoint

Radial Force Component Acting on Bevel Gear Formula

Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear)
P_r = P_t*tan(α_Bevel)*cos(γ)

Why force component are required ?

In force analysis, it is assumed that the resultant tooth force between two meshing teeth of a pair of bevel gears is concentrated at the midpoint along the face width of the tooth. Hence the forces are being resolved according to the direction and angle of the action.

How to Calculate Radial Force Component Acting on Bevel Gear?

Radial Force Component Acting on Bevel Gear calculator uses Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear) to calculate 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 calculate Radial Force Component Acting on Bevel Gear using this online calculator? To use this online calculator 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. Here is how the Radial Force Component Acting on Bevel Gear calculation can be explained with given input values -> 150.1159 = 743.1*tan(0.38397243543868)*cos(1.0471975511964).

FAQ

What is Radial Force Component Acting 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 and is represented as P_r = P_t*tan(α_Bevel)*cos(γ) or Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for 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, The Pressure Angle for Bevel Gear is the angle between the pressure line and the common tangent to the pitch circles & 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.

How to calculate Radial Force Component Acting 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 is calculated using Radial Force on Bevel Gear = Tangential Force Transmitted by Bevel Gear*tan(Pressure Angle)*cos(Pitch Angle for Bevel Gear). To calculate Radial Force Component Acting on Bevel Gear, you need Tangential Force Transmitted by Bevel Gear (P_t), Pressure Angle (α_Bevel) & Pitch Angle for Bevel Gear (γ). With our tool, you need to enter the respective value for Tangential Force Transmitted by Bevel Gear, Pressure Angle & Pitch Angle for Bevel Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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