Tangential Force on Bevel Gear Teeth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tangential Force Transmitted by Bevel Gear = Torque Transmitted by Bevel Pinion/Radius of Pinion at Midpoint
Pt = Mt/rm
This formula uses 3 Variables
Variables Used
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.
Torque Transmitted by Bevel Pinion - (Measured in Newton Meter) - Torque transmitted by bevel pinion is defined as the amount of torque or the rotating power transferred by the bevel gear.
Radius of Pinion at Midpoint - (Measured in Meter) - The Radius of Pinion at Midpoint is the radius of the pinion at the midpoint along the face width.
STEP 1: Convert Input(s) to Base Unit
Torque Transmitted by Bevel Pinion: 17092 Newton Millimeter --> 17.092 Newton Meter (Check conversion here)
Radius of Pinion at Midpoint: 23 Millimeter --> 0.023 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pt = Mt/rm --> 17.092/0.023
Evaluating ... ...
Pt = 743.130434782609
STEP 3: Convert Result to Output's Unit
743.130434782609 Newton --> No Conversion Required
FINAL ANSWER
743.130434782609 743.1304 Newton <-- Tangential Force Transmitted by Bevel Gear
(Calculation completed in 00.004 seconds)

Credits

Created by Akshay Talbar
Vishwakarma University (VU), Pune
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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

Tangential Force on Bevel Gear Teeth Formula

Tangential Force Transmitted by Bevel Gear = Torque Transmitted by Bevel Pinion/Radius of Pinion at Midpoint
Pt = Mt/rm

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 on Bevel Gear Teeth?

Tangential Force on Bevel Gear Teeth calculator uses Tangential Force Transmitted by Bevel Gear = Torque Transmitted by Bevel Pinion/Radius of Pinion at Midpoint to calculate the Tangential Force Transmitted by Bevel Gear, Tangential force on bevel gear teeth due to rated torque is actually the force acting on the gear teeth in the direction of the tangent to the curved surface of the bevel gear. Tangential Force Transmitted by Bevel Gear is denoted by Pt symbol.

How to calculate Tangential Force on Bevel Gear Teeth using this online calculator? To use this online calculator for Tangential Force on Bevel Gear Teeth, enter Torque Transmitted by Bevel Pinion (Mt) & Radius of Pinion at Midpoint (rm) and hit the calculate button. Here is how the Tangential Force on Bevel Gear Teeth calculation can be explained with given input values -> 743.1304 = 17.092/0.023.

FAQ

What is Tangential Force on Bevel Gear Teeth?
Tangential force on bevel gear teeth due to rated torque is actually the force acting on the gear teeth in the direction of the tangent to the curved surface of the bevel gear and is represented as Pt = Mt/rm or Tangential Force Transmitted by Bevel Gear = Torque Transmitted by Bevel Pinion/Radius of Pinion at Midpoint. Torque transmitted by bevel pinion is defined as the amount of torque or the rotating power transferred by the bevel gear & The Radius of Pinion at Midpoint is the radius of the pinion at the midpoint along the face width.
How to calculate Tangential Force on Bevel Gear Teeth?
Tangential force on bevel gear teeth due to rated torque is actually the force acting on the gear teeth in the direction of the tangent to the curved surface of the bevel gear is calculated using Tangential Force Transmitted by Bevel Gear = Torque Transmitted by Bevel Pinion/Radius of Pinion at Midpoint. To calculate Tangential Force on Bevel Gear Teeth, you need Torque Transmitted by Bevel Pinion (Mt) & Radius of Pinion at Midpoint (rm). With our tool, you need to enter the respective value for Torque Transmitted by Bevel Pinion & Radius of Pinion at Midpoint 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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