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Tangential force component Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint)
Pt = (Mt/rmidpoint)
This formula uses 2 Variables
Variables Used
Torque Transmitted - Torque Transmitted is defined as a type of fluid coupling which transfers rotating power from a prime mover, like an internal combustion engine, to a rotating driven load. (Measured in Newton Millimeter)
Radius at midpoint - Radius at midpoint is radius of the pinion at midpoint along the face width. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Torque Transmitted: 100 Newton Millimeter --> 0.1 Newton Meter (Check conversion here)
Radius at midpoint: 20 Millimeter --> 0.02 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pt = (Mt/rmidpoint) --> (0.1/0.02)
Evaluating ... ...
Pt = 5
STEP 3: Convert Result to Output's Unit
5 Newton --> No Conversion Required
FINAL ANSWER
5 Newton <-- Tangential force
(Calculation completed in 00.016 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

Tangential force component Formula

Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint)
Pt = (Mt/rmidpoint)

Why midpoint radius ?

The formula has the ratio of transmitted torque to the radius at midpoint which is actually radius of the pinion at midpoint along the face width.

How to Calculate Tangential force component?

Tangential force component calculator uses Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint) to calculate the Tangential force, The tangential force component due to rated torque is actually the force acting on a moving body in the direction of the tangent to the curved path of the body. Tangential force is denoted by Pt symbol.

How to calculate Tangential force component using this online calculator? To use this online calculator for Tangential force component, enter Torque Transmitted (Mt) & Radius at midpoint (rmidpoint) and hit the calculate button. Here is how the Tangential force component calculation can be explained with given input values -> 5 = (0.1/0.02).

FAQ

What is Tangential force component?
The tangential force component due to rated torque is actually the force acting on a moving body in the direction of the tangent to the curved path of the body and is represented as Pt = (Mt/rmidpoint) or Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint). Torque Transmitted is defined as a type of fluid coupling which transfers rotating power from a prime mover, like an internal combustion engine, to a rotating driven load & Radius at midpoint is radius of the pinion at midpoint along the face width.
How to calculate Tangential force component?
The tangential force component due to rated torque is actually the force acting on a moving body in the direction of the tangent to the curved path of the body is calculated using Tangential_force_due_to_rated_torque = (Torque Transmitted/Radius at midpoint). To calculate Tangential force component, you need Torque Transmitted (Mt) & Radius at midpoint (rmidpoint). With our tool, you need to enter the respective value for Torque Transmitted & Radius at midpoint 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 Tangential force?
In this formula, Tangential force uses Torque Transmitted & Radius at midpoint. 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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