Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Calculator

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Design of Gears

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Design of Bevel Gears

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✖Torque transmitted by bevel pinion is defined as the amount of torque or the rotating power transferred by the bevel gear.ⓘ Torque Transmitted by Bevel Pinion [M_t]			+10% -10%
✖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 Radius of Pinion at Midpoint is the radius of the pinion at the midpoint along the face width.ⓘ Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear [r_m]

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Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

Formula

`"r"_{"m"} = "M"_{"t"}/"P"_{"t"}`

Example

`"23.00094mm"="17092N*mm"/"743.1N"`

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Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear
r_m = M_t/P_t
This formula uses 3 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque Transmitted by Bevel Pinion: 17092 Newton Millimeter --> 17.092 Newton Meter (Check conversion here)
Tangential Force Transmitted by Bevel Gear: 743.1 Newton --> 743.1 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = M_t/P_t --> 17.092/743.1

Evaluating ... ...

r_m = 0.0230009419997309

STEP 3: Convert Result to Output's Unit

0.0230009419997309 Meter -->23.0009419997309 Millimeter (Check conversion here)

FINAL ANSWER

23.0009419997309 ≈ 23.00094 Millimeter <-- Radius of Pinion at Midpoint

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Bevel Gears » Geometric Properties » Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

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< 7 Geometric Properties Calculators

Radius of Pinion at Midpoint along Face Width for Bevel Gear

Go Radius of Pinion at Midpoint = (Pitch Circle Diameter of Bevel Pinion-(Face Width of Bevel Gear Tooth*sin(Pitch Angle for Bevel Gear)))/2

Actual Number of Teeth on Bevel Gear

Go Number of Teeth on Bevel Gear = Virtual Number of Teeth for Bevel Gear*cos(Pitch Angle for Bevel Gear)

Cone Distance of Bevel Gear

Go Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2)

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

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

Geometric step ratio

Go Geometric step ratio = Range ratio in preferred Series^(1/(Quantity of product(Enter integer value only)-1))

Virtual or Formative Number of Teeth of Bevel Gear

Go Virtual Number of Teeth for Bevel Gear = (2*Back Cone Radius)/Module of Bevel Gear

Back Cone Radius of Bevel Gear

Go Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear Formula

Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear
r_m = M_t/P_t

Why midpoint radius is used?

Midpoint radius is used in force analysis to calculate some parameters like pitch circle diameter, face width, pitch angle.

How to Calculate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear calculator uses Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear to calculate the Radius of Pinion at Midpoint, Radius of Pinion at midpoint given Torque and Tangential Force for Bevel Gear is used to calculate the parameters like tangential force. it is the radius of the smaller of the pair of bevel gears. Radius of Pinion at Midpoint is denoted by r_m symbol.

How to calculate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear using this online calculator? To use this online calculator for Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear, enter Torque Transmitted by Bevel Pinion (M_t) & Tangential Force Transmitted by Bevel Gear (P_t) and hit the calculate button. Here is how the Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear calculation can be explained with given input values -> 23000.94 = 17.092/743.1.

FAQ

What is Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

Radius of Pinion at midpoint given Torque and Tangential Force for Bevel Gear is used to calculate the parameters like tangential force. it is the radius of the smaller of the pair of bevel gears and is represented as r_m = M_t/P_t or Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear. Torque transmitted by bevel pinion is defined as the amount of torque or the rotating power transferred by the 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.

How to calculate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear?

Radius of Pinion at midpoint given Torque and Tangential Force for Bevel Gear is used to calculate the parameters like tangential force. it is the radius of the smaller of the pair of bevel gears is calculated using Radius of Pinion at Midpoint = Torque Transmitted by Bevel Pinion/Tangential Force Transmitted by Bevel Gear. To calculate Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear, you need Torque Transmitted by Bevel Pinion (M_t) & Tangential Force Transmitted by Bevel Gear (P_t). With our tool, you need to enter the respective value for Torque Transmitted by Bevel Pinion & Tangential Force Transmitted by Bevel Gear 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 Radius of Pinion at Midpoint?

In this formula, Radius of Pinion at Midpoint uses Torque Transmitted by Bevel Pinion & Tangential Force Transmitted by Bevel Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Pinion at Midpoint = (Pitch Circle Diameter of Bevel Pinion-(Face Width of Bevel Gear Tooth*sin(Pitch Angle for Bevel Gear)))/2

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