Normal Force on Gear Shaft Calculator

✖Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point.ⓘ Maximum Tooth Pressure [F]			+10% -10%
✖The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.ⓘ Pressure Angle of Gear [Φ_gear]			+10% -10%

✖Normal Force is the force which is normal to the shear force.ⓘ Normal Force on Gear Shaft [Fn]

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Normal Force on Gear Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear)
Fn = F*sin(Φ_gear)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
Maximum Tooth Pressure - (Measured in Newton) - Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point.
Pressure Angle of Gear - (Measured in Radian) - The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

STEP 1: Convert Input(s) to Base Unit

Maximum Tooth Pressure: 14 Newton --> 14 Newton No Conversion Required
Pressure Angle of Gear: 32 Degree --> 0.55850536063808 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Fn = F*sin(Φ_gear) --> 14*sin(0.55850536063808)

Evaluating ... ...

Fn = 7.41886969926362

STEP 3: Convert Result to Output's Unit

7.41886969926362 Newton --> No Conversion Required

FINAL ANSWER

7.41886969926362 ≈ 7.41887 Newton <-- Normal Force

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Torque Exerted on Gear Shaft

LaTeX Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Normal Force on Gear Shaft Formula

LaTeX Go

Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear)
Fn = F*sin(Φ_gear)

what is normal force on gear shaft?

The gear force can be resolved to two components – tangential component which is used to transmit the power, and the radial or normal component, which will cause bending of the gear shaft.

How do gears use forces?

Gears are wheels with teeth that slot together. When one gear is turned the other one turns as well. If the gears are of different sizes, they can be used to increase the power of a turning force. The smaller wheel turns more quickly but with less force, while the bigger one turns more slowly with more force.

How to Calculate Normal Force on Gear Shaft?

Normal Force on Gear Shaft calculator uses Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear) to calculate the Normal Force, Normal Force on Gear Shaft formula is defined as the measure of the force exerted on the gear shaft due to the weight of the gear and the external forces acting on it, which is essential in determining the stability and efficiency of the gear system in various mechanical applications. Normal Force is denoted by Fn symbol.

How to calculate Normal Force on Gear Shaft using this online calculator? To use this online calculator for Normal Force on Gear Shaft, enter Maximum Tooth Pressure (F) & Pressure Angle of Gear (Φ_gear) and hit the calculate button. Here is how the Normal Force on Gear Shaft calculation can be explained with given input values -> 7.41887 = 14*sin(0.55850536063808).

FAQ

What is Normal Force on Gear Shaft?

Normal Force on Gear Shaft formula is defined as the measure of the force exerted on the gear shaft due to the weight of the gear and the external forces acting on it, which is essential in determining the stability and efficiency of the gear system in various mechanical applications and is represented as Fn = F*sin(Φ_gear) or Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear). Maximum tooth pressure (neglecting friction at the teeth) is exerted along the common normal through the pitch point & The pressure angle of gear also known as the angle of obliquity is the angle between the tooth face and the gear wheel tangent.

How to calculate Normal Force on Gear Shaft?

Normal Force on Gear Shaft formula is defined as the measure of the force exerted on the gear shaft due to the weight of the gear and the external forces acting on it, which is essential in determining the stability and efficiency of the gear system in various mechanical applications is calculated using Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear). To calculate Normal Force on Gear Shaft, you need Maximum Tooth Pressure (F) & Pressure Angle of Gear (Φ_gear). With our tool, you need to enter the respective value for Maximum Tooth Pressure & Pressure Angle of 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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