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Axial or Thrust component on Bevel Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial_or_Thrust_component_on_Bevel_Gear = (Tangential force*tan(Pressure angle)*sin(Pitch angle))
Pa = (Pt*tan(αBevel)*sin(γ))
This formula uses 2 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(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
Pa = (Pt*tan(αBevel)*sin(γ)) --> (2000*tan(0.38397243543868)*sin(0.5235987755982))
Evaluating ... ...
Pa = 404.026225835072
STEP 3: Convert Result to Output's Unit
404.026225835072 Newton --> No Conversion Required
FINAL ANSWER
404.026225835072 Newton <-- Axial or Thrust component on Bevel Gear
(Calculation completed in 00.000 seconds)

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Permissible tensile strength for double transverse fillet joint
permissible_tensile_strength = Tensile force on plates/(1.414*Length of weld*Leg of the weld) Go
Strength of Butt Joint
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Shear Stress for long fillet weld subjected to torsion
shear_stress = 3*Torque acting on rod/(Throat thickness*(Length of weld^2)) Go
Power Transmitted
shaft_power = (2*pi*Speed of Rotation*Torque) Go
Shear strength for double parallel fillet weld
permissible_shear_stress = 1.414*Leg of the weld/Tensile force on plates Go
Strain Energy Density
strain_energy_density = 0.5*Principle Stress*Principle Strain Go
Factor of Safety given Ultimate and Working Stress
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Thickness Of Cotter Joint
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Axial or Thrust component on Bevel Gear Formula

Axial_or_Thrust_component_on_Bevel_Gear = (Tangential force*tan(Pressure angle)*sin(Pitch angle))
Pa = (Pt*tan(αBevel)*sin(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 Axial or Thrust component on Bevel Gear?

Axial or Thrust component on Bevel Gear calculator uses Axial_or_Thrust_component_on_Bevel_Gear = (Tangential force*tan(Pressure angle)*sin(Pitch angle)) to calculate the Axial or Thrust component on Bevel Gear, Axial or Thrust component 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. Axial or Thrust component on Bevel Gear is denoted by Pa symbol.

How to calculate Axial or Thrust component on Bevel Gear using this online calculator? To use this online calculator for Axial or Thrust component on Bevel Gear, enter Tangential force (Pt), Pressure angle Bevel) & Pitch angle (γ) and hit the calculate button. Here is how the Axial or Thrust component on Bevel Gear calculation can be explained with given input values -> 404.0262 = (2000*tan(0.38397243543868)*sin(0.5235987755982)).

FAQ

What is Axial or Thrust component on Bevel Gear?
Axial or Thrust component 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 Pa = (Pt*tan(αBevel)*sin(γ)) or Axial_or_Thrust_component_on_Bevel_Gear = (Tangential force*tan(Pressure angle)*sin(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 Axial or Thrust component on Bevel Gear?
Axial or Thrust component 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 Axial_or_Thrust_component_on_Bevel_Gear = (Tangential force*tan(Pressure angle)*sin(Pitch angle)). To calculate Axial or Thrust component 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 Axial or Thrust component on Bevel Gear?
In this formula, Axial or Thrust component on Bevel Gear uses Tangential force, Pressure angle & Pitch angle. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • factorofsafety = Fracture Stress/Working Stress
  • permissible_tensile_strength = Tensile force on plates/(1.414*Length of weld*Leg of the weld)
  • shaft_power = (2*pi*Speed of Rotation*Torque)
  • permissible_shear_stress = 1.414*Leg of the weld/Tensile force on plates
  • shear_strength_in_parallel_fillet_weld = Tensile force on plates/(0.707*Leg of the weld*Length of weld)
  • shear_stress = 3*Torque acting on rod/(Throat thickness*(Length of weld^2))
  • shear_stress = 2*Torque acting on rod/(pi*Throat thickness*Nominal Diameter^2)
  • strain_energy_density = 0.5*Principle Stress*Principle Strain
  • tensile_strength = Tensile force on plates/(Throat thickness*Length of weld)
  • thickness_of_cotter = 0.31*Diameter of rod
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