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Dynamic load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic_load = ((21*Pitch Line Velocity)*((Deformation factor*Error*Face width)+(Tangential force)))/((21*Pitch Line Velocity)+sqrt((Deformation factor*Error*Face width)+(Tangential force)))
Pd = ((21*v)*((C*esum*b)+(Pt)))/((21*v)+sqrt((C*esum*b)+(Pt)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Pitch Line Velocity - The Pitch Line Velocity is defined as the product of the constant pi, the diameter of the pitch circle, and the angular velocity. (Measured in Meter per Second)
Deformation factor - The Deformation factor is defined as the ratio of the form of tooth factor to the sum of the inverse of modulus of elasticity of pinion and inverse of modulus of elasticity of fear. (Measured in Newton per Square Millimeter)
Error - Error can be defined as gears on small-diameter shaft easily twist through an angle equivalent to the effective tooth error and the dynamic load is reduced. e = ep + eg. (Measured in Millimeter)
Face width - Face width is the length of the tooth parallel to the gear axis. (Measured in Millimeter)
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)
STEP 1: Convert Input(s) to Base Unit
Pitch Line Velocity: 2.5 Meter per Second --> 2.5 Meter per Second No Conversion Required
Deformation factor: 10 Newton per Square Millimeter --> 10000000 Pascal (Check conversion here)
Error: 0.05 Millimeter --> 5E-05 Meter (Check conversion here)
Face width: 40 Millimeter --> 0.04 Meter (Check conversion here)
Tangential force: 2000 Newton --> 2000 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pd = ((21*v)*((C*esum*b)+(Pt)))/((21*v)+sqrt((C*esum*b)+(Pt))) --> ((21*2.5)*((10000000*5E-05*0.04)+(2000)))/((21*2.5)+sqrt((10000000*5E-05*0.04)+(2000)))
Evaluating ... ...
Pd = 1088.31281221704
STEP 3: Convert Result to Output's Unit
1088.31281221704 Newton --> No Conversion Required
FINAL ANSWER
1088.31281221704 Newton <-- Dynamic load
(Calculation completed in 00.015 seconds)

10+ Design of gear Calculators

Center to center distance
center_to_center_distance = Module*(Number of teeth of the pinion+Number of teeth on gear)/2 Go
Circular Pitch of Gear in Terms of Diameter and Number of Teeth
circular_pitch = pi*Diameter of the pitch circle/Number of teeth Go
Resultant force
resultant_force = Tangential Force/cos(Pressure Angle) Go
Radial Force of Gear in Terms of Tangential Force and Pressure Angle
radial_force = Tangential Force*tan(Pressure Angle) Go
Inner diameter of rim of medium size diameter
inner_diameter_of_rim = Diameter of dedendum circle-(2*Thickness of rim) Go
Diameter of holes in web of medium size diameter
diameter_of_holes = (Inner diameter of rim-Outer diameter of hub)/4 Go
Gear ratio in terms of number of teeth
gear_ratio = Number of teeth on gear/Number of teeth of the pinion Go
Gear ratio in terms of speed
gear_ratio = Speed of Pinion/Speed of gear Go
Diametral Pitch of Gear in Terms of Circular Pitch
diametral_pitch = pi/Circular Pitch Go
Outer diameter of hub of large-size gear
outer_diameter_of_hub = 2*Shaft Diameter Go

Dynamic load Formula

Dynamic_load = ((21*Pitch Line Velocity)*((Deformation factor*Error*Face width)+(Tangential force)))/((21*Pitch Line Velocity)+sqrt((Deformation factor*Error*Face width)+(Tangential force)))
Pd = ((21*v)*((C*esum*b)+(Pt)))/((21*v)+sqrt((C*esum*b)+(Pt)))

What is dynamic load ?

The dynamic load or additional load due to dynamic conditions between two meshing teeth. Buckingham has used a term ‘incremental dynamic load’ for (Pd). It is used to calculate the effective load in the gera geometry.

How to Calculate Dynamic load?

Dynamic load calculator uses Dynamic_load = ((21*Pitch Line Velocity)*((Deformation factor*Error*Face width)+(Tangential force)))/((21*Pitch Line Velocity)+sqrt((Deformation factor*Error*Face width)+(Tangential force))) to calculate the Dynamic load, The dynamic load is the additional load due to the dynamic condiitons associated between the two meshing teeth. Dynamic load is denoted by Pd symbol.

How to calculate Dynamic load using this online calculator? To use this online calculator for Dynamic load, enter Pitch Line Velocity (v), Deformation factor (C), Error (esum), Face width (b) & Tangential force (Pt) and hit the calculate button. Here is how the Dynamic load calculation can be explained with given input values -> 1088.313 = ((21*2.5)*((10000000*5E-05*0.04)+(2000)))/((21*2.5)+sqrt((10000000*5E-05*0.04)+(2000))).

FAQ

What is Dynamic load?
The dynamic load is the additional load due to the dynamic condiitons associated between the two meshing teeth and is represented as Pd = ((21*v)*((C*esum*b)+(Pt)))/((21*v)+sqrt((C*esum*b)+(Pt))) or Dynamic_load = ((21*Pitch Line Velocity)*((Deformation factor*Error*Face width)+(Tangential force)))/((21*Pitch Line Velocity)+sqrt((Deformation factor*Error*Face width)+(Tangential force))). The Pitch Line Velocity is defined as the product of the constant pi, the diameter of the pitch circle, and the angular velocity, The Deformation factor is defined as the ratio of the form of tooth factor to the sum of the inverse of modulus of elasticity of pinion and inverse of modulus of elasticity of fear, Error can be defined as gears on small-diameter shaft easily twist through an angle equivalent to the effective tooth error and the dynamic load is reduced. e = ep + eg, Face width is the length of the tooth parallel to the gear axis & Tangential force due to rated torque is ratio of the rated torque upon the radius of the gear or pinion.
How to calculate Dynamic load?
The dynamic load is the additional load due to the dynamic condiitons associated between the two meshing teeth is calculated using Dynamic_load = ((21*Pitch Line Velocity)*((Deformation factor*Error*Face width)+(Tangential force)))/((21*Pitch Line Velocity)+sqrt((Deformation factor*Error*Face width)+(Tangential force))). To calculate Dynamic load, you need Pitch Line Velocity (v), Deformation factor (C), Error (esum), Face width (b) & Tangential force (Pt). With our tool, you need to enter the respective value for Pitch Line Velocity, Deformation factor, Error, Face width & Tangential force 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 Dynamic load?
In this formula, Dynamic load uses Pitch Line Velocity, Deformation factor, Error, Face width & Tangential force. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • circular_pitch = pi*Diameter of the pitch circle/Number of teeth
  • diametral_pitch = pi/Circular Pitch
  • center_to_center_distance = Module*(Number of teeth of the pinion+Number of teeth on gear)/2
  • radial_force = Tangential Force*tan(Pressure Angle)
  • resultant_force = Tangential Force/cos(Pressure Angle)
  • gear_ratio = Speed of Pinion/Speed of gear
  • gear_ratio = Number of teeth on gear/Number of teeth of the pinion
  • inner_diameter_of_rim = Diameter of dedendum circle-(2*Thickness of rim)
  • diameter_of_holes = (Inner diameter of rim-Outer diameter of hub)/4
  • outer_diameter_of_hub = 2*Shaft Diameter
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