Shaft Angle Calculator

✖The spiral angle of gear teeth for gear 1 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.ⓘ Spiral Angle of Gear Teeth for Gear 1 [α₁]			+10% -10%
✖The spiral angle of gear teeth for gear 2 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.ⓘ Spiral Angle of Gear Teeth for Gear 2 [α₂]			+10% -10%

✖Shaft angle is the measurement of the angle formed between the obliquely oriented neck with the vertical shaft.ⓘ Shaft Angle [θ]

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Shaft Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2
θ = α₁+α₂
This formula uses 3 Variables

Variables Used

Shaft Angle - (Measured in Radian) - Shaft angle is the measurement of the angle formed between the obliquely oriented neck with the vertical shaft.
Spiral Angle of Gear Teeth for Gear 1 - (Measured in Radian) - The spiral angle of gear teeth for gear 1 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.
Spiral Angle of Gear Teeth for Gear 2 - (Measured in Radian) - The spiral angle of gear teeth for gear 2 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.

STEP 1: Convert Input(s) to Base Unit

Spiral Angle of Gear Teeth for Gear 1: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Spiral Angle of Gear Teeth for Gear 2: 30.05 Degree --> 0.524471440224197 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = α₁+α₂ --> 0.785398163397301+0.524471440224197

Evaluating ... ...

θ = 1.3098696036215

STEP 3: Convert Result to Output's Unit

1.3098696036215 Radian -->75.05 Degree (Check conversion here)

FINAL ANSWER

75.05 Degree <-- Shaft Angle

(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

Shaft Angle Formula

LaTeX Go

Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2
θ = α₁+α₂

What is a gear shaft?

The gear shaft is the axle of the gear, providing the rotation that allows one gear to engage with and turn another. The process is often known as gear reduction and is essential to transferring horsepower from the engine to the drive mechanism.

How to Calculate Shaft Angle?

Shaft Angle calculator uses Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2 to calculate the Shaft Angle, Shaft Angle formula is defined as the total angle of rotation of a shaft in a toothed gear system, which is the sum of the angles of rotation of the individual gears, providing a critical parameter in the design and analysis of gear trains. Shaft Angle is denoted by θ symbol.

How to calculate Shaft Angle using this online calculator? To use this online calculator for Shaft Angle, enter Spiral Angle of Gear Teeth for Gear 1 (α₁) & Spiral Angle of Gear Teeth for Gear 2 (α₂) and hit the calculate button. Here is how the Shaft Angle calculation can be explained with given input values -> 4300.048 = 0.785398163397301+0.524471440224197.

FAQ

What is Shaft Angle?

Shaft Angle formula is defined as the total angle of rotation of a shaft in a toothed gear system, which is the sum of the angles of rotation of the individual gears, providing a critical parameter in the design and analysis of gear trains and is represented as θ = α₁+α₂ or Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2. The spiral angle of gear teeth for gear 1 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth & The spiral angle of gear teeth for gear 2 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.

How to calculate Shaft Angle?

Shaft Angle formula is defined as the total angle of rotation of a shaft in a toothed gear system, which is the sum of the angles of rotation of the individual gears, providing a critical parameter in the design and analysis of gear trains is calculated using Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2. To calculate Shaft Angle, you need Spiral Angle of Gear Teeth for Gear 1 (α₁) & Spiral Angle of Gear Teeth for Gear 2 (α₂). With our tool, you need to enter the respective value for Spiral Angle of Gear Teeth for Gear 1 & Spiral Angle of Gear Teeth for Gear 2 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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