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(Φgear)
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(Φgear) --> 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)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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22 Toothed Gear Terminologies Calculators

Efficiency of Spiral Gears using Pitch Circle Diameter
Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*Pitch Circle Diameter of Gear 2*Speed of Gear 2)/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*Pitch Circle Diameter of Gear 1*Speed of Gear 1)
Efficiency of Spiral Gears
Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 1))/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 2))
Addendum of Pinion
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)
Addendum of Wheel
Go Addendum of Wheel = Number of Teeth on Wheel/2*(sqrt(1+Number of Teeth on Pinion/Number of Teeth on Wheel*(Number of Teeth on Pinion/Number of Teeth on Wheel+2)*(sin(Pressure Angle of Gear))^2)-1)
Work Output on Driven
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
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
Maximum Efficiency of Spiral Gears
Go Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1)
Resisting Force Acting Tangentially on Driven
Go Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)
Force Applied Tangentially on Driver
Go Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)
Axial Thrust on Driven
Go Axial Thrust on Driven = Resisting Force acting Tangentially on Driven*tan(Spiral Angle of Gear Teeth for Gear 2)
Axial Thrust on Driver
Go Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1)
Radius of Base Circle of Pinion
Go Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear)
Radius of Base Circle of Wheel
Go Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear)
Addendum of Rack
Go Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2
Tangential Force on Gear Shaft
Go Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear)
Normal Force on Gear Shaft
Go Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear)
Shaft Angle
Go Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2
Gear Ratio
Go Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion
Torque Exerted on Gear Shaft
Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2
Gear Ratio given Number of Teeth on Wheel and Pinion
Go Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion
Module
Go Module = Diameter of Pitch Circle/Number of Teeth on Wheel
Contact Ratio
Go Contact Ratio = Path of Contact/Circular Pitch

Normal Force on Gear Shaft Formula

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

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 is the component, which will cause bending of the gear shaft. 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 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 is the component, which will cause bending of the gear shaft and is represented as Fn = F*sin(Φgear) 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 is the component, which will cause bending of the gear shaft 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 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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