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Radial force component acting on Bevel Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle))
Pr = (Pt*tan(αBevel)*cos(γ))
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Tangential force - Tangential force due to rated torque is ratio of the rated torque upon the radius of the gear or pinion. (Measured in Newton)
Pressure angle - The pressure angle for Bevel Gear is the angle between the pressure line and the common tangent to the pitch circles. (Measured in Degree)
Pitch angle - Pitch angle for Bevel Gear is the angle that the pitch line makes with the axis of the gear, is called the pitch angle. The pitch angle is also called centre angle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Tangential force: 2000 Newton --> 2000 Newton No Conversion Required
Pressure angle: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Pitch angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = (Pt*tan(αBevel)*cos(γ)) --> (2000*tan(0.38397243543868)*cos(0.5235987755982))
Evaluating ... ...
Pr = 699.793950736643
STEP 3: Convert Result to Output's Unit
699.793950736643 Newton --> No Conversion Required
FINAL ANSWER
699.793950736643 Newton <-- Radial Force
(Calculation completed in 00.015 seconds)

10+ Design of Bevel Gear Calculators

Wear strength of the Bevel Gear
Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle) Go
Beam Strength of tooth of Bevel Gear
beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance))) Go
Ratio factor for Bevel gear
Ratio_factor_ = (2*Number of teeth on gear)/(Number of teeth on gear+(Number of teeth of the pinion*tan(Pitch angle))) Go
Radial force component acting on Bevel Gear
radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle)) Go
Radius of pinion at midpoint along face width
Radius_at_midpoint = ((Pitch circle diameter of pinion/2)-(Face width*sin(Pitch angle))/2) Go
Cone Distance
Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2)) Go
Actual number of teeth on Bevel Gear
number_of_teeth_on_gear = (Virtual or formative number of teeth)/cos(Pitch angle) Go
Tangential force component
Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint) Go
Virtual or formative number of teeth of Bevel Gear
Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module Go
Bevel Factor
Bevel_Factor = (1-(Face width/Cone distance)) Go

Radial force component acting on Bevel Gear Formula

radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle))
Pr = (Pt*tan(αBevel)*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 = (Tangential force*tan(Pressure angle)*cos(Pitch angle)) to calculate the Radial Force, 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. Radial Force is denoted by Pr 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 (Pt), Pressure angle Bevel) & Pitch angle (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 -> 699.794 = (2000*tan(0.38397243543868)*cos(0.5235987755982)).

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 and is represented as Pr = (Pt*tan(αBevel)*cos(γ)) or radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle)). Tangential force due to rated torque is ratio of the rated torque upon the radius of the gear or pinion, 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, is called the pitch angle. The pitch angle is also called centre 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 is calculated using radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle)). To calculate Radial force component acting on Bevel Gear, you need Tangential force (Pt), Pressure angle Bevel) & Pitch angle (γ). With our tool, you need to enter the respective value for Tangential force, Pressure angle & Pitch angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radial Force?
In this formula, Radial Force uses Tangential force, Pressure angle & Pitch angle. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Virtual_or_formative_number_of_teeth = (2*Back cone radius)/Module
  • number_of_teeth_on_gear = (Virtual or formative number of teeth)/cos(Pitch angle)
  • Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2))
  • Radius_at_midpoint = ((Pitch circle diameter of pinion/2)-(Face width*sin(Pitch angle))/2)
  • Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint)
  • radial_force = (Tangential force*tan(Pressure angle)*cos(Pitch angle))
  • Bevel_Factor = (1-(Face width/Cone distance))
  • beam_strength = ((Module*Face width*Bending Stress*Lewis Form Factor)*(1-(Face width/Cone distance)))
  • Wear_Strength = (0.75*Face width*Ratio factor*Pitch circle diameter of pinion*Material Constant)/cos(Pitch angle)
  • Ratio_factor_ = (2*Number of teeth on gear)/(Number of teeth on gear+(Number of teeth of the pinion*tan(Pitch angle)))
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