Helix Angle of Thread Calculator

Category	Physics ↺
Physics	Machine Design ↺
Machine-Design	Design of Machine Elements ↺
Design-Of-Machine-Elements	Power Screws ↺
Power-Screws

✖Lead of Screw is the linear travel the nut makes per one screw revolution and is how ball screws are typically specified.ⓘ Lead of Screw [L]			+10% -10%
✖Mean diameter of screw is the average diameter of the bearing surface.ⓘ Mean diameter of screw [d_mean]			+10% -10%

✖Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit.ⓘ Helix Angle of Thread [α]

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Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 400+ more calculators!

Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Helix angle When Torque is Given

Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction)/(2*Torque*Coefficient of Friction+Force*Mean diameter of screw)) GO

Coefficient of Friction When Torque is Given

Coefficient of Friction=(2*Torque-(Force*Mean diameter of screw*tan(Helix Angle)))/(Force*Mean diameter of screw+2*Torque*tan(Helix Angle)) GO

Torque When Load on the Screw is Given

Torque=(Force*Mean diameter of screw/2)*((Coefficient of Friction+tan(Helix Angle))/(1-Coefficient of Friction*tan(Helix Angle))) GO

Load When Torque is Given

Force=(2*Torque*((Coefficient of Friction+tan(Helix Angle))/(1-Coefficient of Friction*tan(Helix Angle))))/Mean diameter of screw GO

Nominal Diameter of Power Screw When Mean DIameter is Given

Equivalent/Nominal Diameter of Particle=Mean diameter of screw+(0.5*Pitch) GO

Pitch of the Screw When Mean Diameter is Given

Pitch=(Equivalent/Nominal Diameter of Particle-Mean diameter of screw)/0.5 GO

Mean diameter of Screw When Helix Angle is Given

Mean diameter of screw=Lead of Screw/(pi*tan(Helix Angle)) GO

Lead of Screw When Helix angle is Given

Lead of Screw=tan(Helix Angle)*pi*Mean diameter of screw GO

Helix Angle

Helix Angle=atan(Lead of Screw/Circumference of Screw) GO

Torque Required When Effort is Given

Torque=Effort*Mean diameter of screw/2 GO

Effort When Torque is Given

Effort=2*Torque/Mean diameter of screw GO

< 11 Other formulas that calculate the same Output

Helix Angle When Torque Required in Lifting a Load With Acme Screw Thread is Given

Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction*sec(14.5*pi/180))/(Force*Mean diameter of screw+2*Torque*Coefficient of Friction*sec(14.5*pi/180))) GO

Helix Angle When Torque Required in Lifting a Load With Trapezoidal Screw Thread is Given

Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction*sec(15*pi/180))/(Force*Mean diameter of screw+2*Torque*Coefficient of Friction*sec(15*pi/180))) GO

Helix Angle When Torque Required in Lowering a Load is Given

Helix Angle=atan((Coefficient of Friction*Force*Mean diameter of screw-(2*Torque))/(2*Torque*Coefficient of Friction+(Force*Mean diameter of screw))) GO

Helix angle When Torque is Given

Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction)/(2*Torque*Coefficient of Friction+Force*Mean diameter of screw)) GO

Helix Angle When Effort Required in Lifting a Load with Acme Screw Thread is Given

Helix Angle=atan((Effort-Force*Coefficient of Friction*sec(14.5*pi/180))/(Force+Effort*Coefficient of Friction*sec(14.5*pi/180))) GO

Helix Angle When Effort Required in Lifting a Load with Trapezoidal Screw Thread is Given

Helix Angle=atan((Effort-Force*Coefficient of Friction*sec(15*pi/180))/(Force+(Effort*Coefficient of Friction*sec(15*pi/180)))) GO

Helix Angle When Effort Required in Lowering load is Given

Helix Angle=atan((Force*Coefficient of Friction-Effort)/(Coefficient of Friction*Effort+Force)) GO

Helix angle When Effort is Given

Helix Angle=atan((Effort-Force*Coefficient of Friction)/(Effort*Coefficient of Friction+Force)) GO

Helix Angle for multi-threaded screw

Helix Angle=atan((Number of Threads*Pitch)/(pi*Mean diameter of Screw)) GO

Helix Angle

Helix Angle=atan(Lead of Screw/Circumference of Screw) GO

Helix Angle for single threaded screw

Helix Angle=atan(Pitch/(pi*Mean diameter of Screw)) GO

Helix Angle of Thread Formula

Helix Angle=atan(Lead of Screw/(pi*Mean diameter of screw))
α=atan(L/(pi*d<sub>mean</sub>))

More formulas

Core Diameter of Power Screw GO

Nominal Diameter of Power Screw GO

Pitch of Power Screw GO

Mean Diameter of Power Screw GO

Nominal Diameter of Power Screw When Mean DIameter is Given GO

Pitch of the Screw When Mean Diameter is Given GO

Mean diameter of Screw When Helix Angle is Given GO

Lead of Screw When Helix angle is Given GO

Efficiency of Square Threaded Screw GO

Coefficient of Friction When Efficiency of Square Threaded Screw is Given GO

Maximum Efficiency of Square Threaded Screw GO

Lead of the Screw When Overall Efficiency is Given GO

External Torque Required to Raise The Load in Terms of Efficiency GO

load When Overall Efficiency is Given GO

Overall Efficiency of a Power Screw GO

Define Helix angle?

In mechanical engineering, a helix angle is the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears. Naturally, the helix angle is the geometric complement of the lead angle. The helix angle is measured in degrees.

How to Calculate Helix Angle of Thread?

Helix Angle of Thread calculator uses Helix Angle=atan(Lead of Screw/(pi*Mean diameter of screw)) to calculate the Helix Angle, The Helix Angle of Thread formula is defined as the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears. Helix Angle and is denoted by α symbol.

How to calculate Helix Angle of Thread using this online calculator? To use this online calculator for Helix Angle of Thread, enter Lead of Screw (L) and Mean diameter of screw (d_mean) and hit the calculate button. Here is how the Helix Angle of Thread calculation can be explained with given input values -> 1.567026 = atan(10/(pi*0.012)).

FAQ

What is Helix Angle of Thread?

The Helix Angle of Thread formula is defined as the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears and is represented as α=atan(L/(pi*d_mean)) or Helix Angle=atan(Lead of Screw/(pi*Mean diameter of screw)). Lead of Screw is the linear travel the nut makes per one screw revolution and is how ball screws are typically specified and Mean diameter of screw is the average diameter of the bearing surface.

How to calculate Helix Angle of Thread?

The Helix Angle of Thread formula is defined as the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears is calculated using Helix Angle=atan(Lead of Screw/(pi*Mean diameter of screw)). To calculate Helix Angle of Thread, you need Lead of Screw (L) and Mean diameter of screw (d_mean). With our tool, you need to enter the respective value for Lead of Screw and Mean diameter of screw 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 Helix Angle?

In this formula, Helix Angle uses Lead of Screw and Mean diameter of screw. We can use 11 other way(s) to calculate the same, which is/are as follows -

Helix Angle=atan(Lead of Screw/Circumference of Screw)
Helix Angle=atan(Pitch/(pi*Mean diameter of Screw))
Helix Angle=atan((Number of Threads*Pitch)/(pi*Mean diameter of Screw))
Helix Angle=atan((Effort-Force*Coefficient of Friction)/(Effort*Coefficient of Friction+Force))
Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction)/(2*Torque*Coefficient of Friction+Force*Mean diameter of screw))
Helix Angle=atan((Force*Coefficient of Friction-Effort)/(Coefficient of Friction*Effort+Force))
Helix Angle=atan((Coefficient of Friction*Force*Mean diameter of screw-(2*Torque))/(2*Torque*Coefficient of Friction+(Force*Mean diameter of screw)))
Helix Angle=atan((Effort-Force*Coefficient of Friction*sec(15*pi/180))/(Force+(Effort*Coefficient of Friction*sec(15*pi/180))))
Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction*sec(15*pi/180))/(Force*Mean diameter of screw+2*Torque*Coefficient of Friction*sec(15*pi/180)))
Helix Angle=atan((2*Torque-Force*Mean diameter of screw*Coefficient of Friction*sec(14.5*pi/180))/(Force*Mean diameter of screw+2*Torque*Coefficient of Friction*sec(14.5*pi/180)))
Helix Angle=atan((Effort-Force*Coefficient of Friction*sec(14.5*pi/180))/(Force+Effort*Coefficient of Friction*sec(14.5*pi/180)))

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