Dynamic load on Gear Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Spur Gears

Design of Bevel Gears

Design of Helical Gears

Design of Worm Gears

✖The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.ⓘ Pitch Line Velocity of Spur Gear [v]			+10% -10%
✖The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.ⓘ Deformation Factor for Spur Gear [C]			+10% -10%
✖Sum of Error for Meshing Gear Teeth can be defined as the total error in dimensions of the two meshing gear teeth.ⓘ Sum of Error for Meshing Gear Teeth [Σe]			+10% -10%
✖Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.ⓘ Face Width of Spur Gear Tooth [b]			+10% -10%
✖Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..ⓘ Tangential Force on Spur Gear [P_t]			+10% -10%

✖The Dynamic Load on Spur Gear is the load on a spur gear due to dynamic conditions between two meshing teeth.ⓘ Dynamic load on Gear [P_d]

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Formula

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Dynamic load on Gear

Formula

`"P"_{"d"} = ((21*"v")*(("C"*"Σe"*"b")+("P"_{"t"})))/((21*"v")+sqrt(("C"*"Σe"*"b")+("P"_{"t"})))`

Example

`"1676.083N"=((21*"3.7m/s")*(("1100N/mm²"*"0.05mm"*"34mm")+("952N")))/((21*"3.7m/s")+sqrt(("1100N/mm²"*"0.05mm"*"34mm")+("952N")))`

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Dynamic load on Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Load on Spur Gear = ((21*Pitch Line Velocity of Spur Gear)*((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear)))/((21*Pitch Line Velocity of Spur Gear)+sqrt((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear)))
P_d = ((21*v)*((C*Σe*b)+(P_t)))/((21*v)+sqrt((C*Σe*b)+(P_t)))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Dynamic Load on Spur Gear - (Measured in Newton) - The Dynamic Load on Spur Gear is the load on a spur gear due to dynamic conditions between two meshing teeth.
Pitch Line Velocity of Spur Gear - (Measured in Meter per Second) - The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.
Deformation Factor for Spur Gear - (Measured in Pascal) - The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth.
Sum of Error for Meshing Gear Teeth - (Measured in Meter) - Sum of Error for Meshing Gear Teeth can be defined as the total error in dimensions of the two meshing gear teeth.
Face Width of Spur Gear Tooth - (Measured in Meter) - Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis.
Tangential Force on Spur Gear - (Measured in Newton) - Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference..

STEP 1: Convert Input(s) to Base Unit

Pitch Line Velocity of Spur Gear: 3.7 Meter per Second --> 3.7 Meter per Second No Conversion Required
Deformation Factor for Spur Gear: 1100 Newton per Square Millimeter --> 1100000000 Pascal (Check conversion here)
Sum of Error for Meshing Gear Teeth: 0.05 Millimeter --> 5E-05 Meter (Check conversion here)
Face Width of Spur Gear Tooth: 34 Millimeter --> 0.034 Meter (Check conversion here)
Tangential Force on Spur Gear: 952 Newton --> 952 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = ((21*v)*((C*Σe*b)+(P_t)))/((21*v)+sqrt((C*Σe*b)+(P_t))) --> ((21*3.7)*((1100000000*5E-05*0.034)+(952)))/((21*3.7)+sqrt((1100000000*5E-05*0.034)+(952)))

Evaluating ... ...

P_d = 1676.08324331516

STEP 3: Convert Result to Output's Unit

1676.08324331516 Newton --> No Conversion Required

FINAL ANSWER

1676.08324331516 ≈ 1676.083 Newton <-- Dynamic Load on Spur Gear

(Calculation completed in 00.020 seconds)

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< 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears

Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Resultant Force on Gear

Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)

Radial Force of Gear given Tangential Force and Pressure Angle

Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Pitch Circle Diameter of holes of Medium Size Gear

Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2

Diameter of Holes in Gear Web of Medium Size Diameter

Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4

Inner Diameter of Rim of Large Size Gear

Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Addendum Circle Diameter of Medium Size Gear Diameter given Addendum

Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)

Tangential Force on Gear given Torque and Pitch Circle Diameter

Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Medium Size Gear given Dedundum

Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Large Size Gear

Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)

Addendum Circle Diameter of Large Size Gear

Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)

Pitch Circle Diameter of Gear given Module and Number of Teeth

Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Maximum Torque of Gear given Service Factor

Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear

Service Factor for Gear given Torque

Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear

Gear Ratio given Number of Teeth

Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion

Gear Ratio given Speed

Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Outer Diameter of Hub of Large Size Gear

Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft

Thickness of Rim of Large Size Gear

Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Dynamic load on Gear Formula

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 on Gear?

Dynamic load on Gear calculator uses Dynamic Load on Spur Gear = ((21*Pitch Line Velocity of Spur Gear)*((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear)))/((21*Pitch Line Velocity of Spur Gear)+sqrt((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear))) to calculate the Dynamic Load on Spur Gear, Dynamic load on Gear is the additional load due to the dynamic conditions associated with the two meshing gear teeth. It depends upon the pitch line velocity, deformation factor, face width, and the error in the gear teeth. Dynamic Load on Spur Gear is denoted by P_d symbol.

How to calculate Dynamic load on Gear using this online calculator? To use this online calculator for Dynamic load on Gear, enter Pitch Line Velocity of Spur Gear (v), Deformation Factor for Spur Gear (C), Sum of Error for Meshing Gear Teeth (Σe), Face Width of Spur Gear Tooth (b) & Tangential Force on Spur Gear (P_t) and hit the calculate button. Here is how the Dynamic load on Gear calculation can be explained with given input values -> 1676.083 = ((21*3.7)*((1100000000*5E-05*0.034)+(952)))/((21*3.7)+sqrt((1100000000*5E-05*0.034)+(952))).

FAQ

What is Dynamic load on Gear?

Dynamic load on Gear is the additional load due to the dynamic conditions associated with the two meshing gear teeth. It depends upon the pitch line velocity, deformation factor, face width, and the error in the gear teeth and is represented as P_d = ((21*v)*((C*Σe*b)+(P_t)))/((21*v)+sqrt((C*Σe*b)+(P_t))) or Dynamic Load on Spur Gear = ((21*Pitch Line Velocity of Spur Gear)*((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear)))/((21*Pitch Line Velocity of Spur Gear)+sqrt((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear))). The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear, The Deformation Factor for Spur Gear is a factor accounting for the deformation of the gear tooth, Sum of Error for Meshing Gear Teeth can be defined as the total error in dimensions of the two meshing gear teeth, Face Width of Spur Gear Tooth is the length of the gear tooth parallel to the gear axis & Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference.

How to calculate Dynamic load on Gear?

Dynamic load on Gear is the additional load due to the dynamic conditions associated with the two meshing gear teeth. It depends upon the pitch line velocity, deformation factor, face width, and the error in the gear teeth is calculated using Dynamic Load on Spur Gear = ((21*Pitch Line Velocity of Spur Gear)*((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear)))/((21*Pitch Line Velocity of Spur Gear)+sqrt((Deformation Factor for Spur Gear*Sum of Error for Meshing Gear Teeth*Face Width of Spur Gear Tooth)+(Tangential Force on Spur Gear))). To calculate Dynamic load on Gear, you need Pitch Line Velocity of Spur Gear (v), Deformation Factor for Spur Gear (C), Sum of Error for Meshing Gear Teeth (Σe), Face Width of Spur Gear Tooth (b) & Tangential Force on Spur Gear (P_t). With our tool, you need to enter the respective value for Pitch Line Velocity of Spur Gear, Deformation Factor for Spur Gear, Sum of Error for Meshing Gear Teeth, Face Width of Spur Gear Tooth & Tangential Force on Spur Gear 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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