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Cone Distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2))
A0 = sqrt(((Dp/2)^2)+((Dg/2)^2))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Pitch circle diameter of pinion - Pitch circle diameter of pinion is the diameter of the pinion circle. (Measured in Millimeter)
Pitch circle diameter of gear - Pitch circle diameter of gear is the diameter of the gear circle. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Pitch circle diameter of pinion: 80 Millimeter --> 0.08 Meter (Check conversion here)
Pitch circle diameter of gear: 120 Millimeter --> 0.12 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A0 = sqrt(((Dp/2)^2)+((Dg/2)^2)) --> sqrt(((0.08/2)^2)+((0.12/2)^2))
Evaluating ... ...
A0 = 0.0721110255092798
STEP 3: Convert Result to Output's Unit
0.0721110255092798 Meter -->72.1110255092798 Millimeter (Check conversion here)
FINAL ANSWER
72.1110255092798 Millimeter <-- Cone distance
(Calculation completed in 00.000 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

Cone Distance Formula

Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2))
A0 = sqrt(((Dp/2)^2)+((Dg/2)^2))

What is cone distance ?

Cone distance in a bevel gear is the general term for the distance along an element of the pitch cone from the apex to any given position in the teeth.

How to Calculate Cone Distance?

Cone Distance calculator uses Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2)) to calculate the Cone distance, Cone distance is the length of the pitch-cone element. It is also called pitch-cone radius. It is denoted by A0. Cone distance is denoted by A0 symbol.

How to calculate Cone Distance using this online calculator? To use this online calculator for Cone Distance, enter Pitch circle diameter of pinion (Dp) & Pitch circle diameter of gear (Dg) and hit the calculate button. Here is how the Cone Distance calculation can be explained with given input values -> 72.11103 = sqrt(((0.08/2)^2)+((0.12/2)^2)).

FAQ

What is Cone Distance?
Cone distance is the length of the pitch-cone element. It is also called pitch-cone radius. It is denoted by A0 and is represented as A0 = sqrt(((Dp/2)^2)+((Dg/2)^2)) or Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2)). Pitch circle diameter of pinion is the diameter of the pinion circle & Pitch circle diameter of gear is the diameter of the gear circle.
How to calculate Cone Distance?
Cone distance is the length of the pitch-cone element. It is also called pitch-cone radius. It is denoted by A0 is calculated using Cone_Distance = sqrt(((Pitch circle diameter of pinion/2)^2)+((Pitch circle diameter of gear/2)^2)). To calculate Cone Distance, you need Pitch circle diameter of pinion (Dp) & Pitch circle diameter of gear (Dg). With our tool, you need to enter the respective value for Pitch circle diameter of pinion & Pitch circle diameter of 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 Cone distance?
In this formula, Cone distance uses Pitch circle diameter of pinion & Pitch circle diameter of gear. 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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