Helix Angle for Single Threaded Screw Calculator

✖Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Pitch [P_screw]			+10% -10%
✖Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.ⓘ Mean Diameter of Screw [d]			+10% -10%

✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle for Single Threaded Screw [ψ]

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Formula

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Helix Angle for Single Threaded Screw

Formula

`"ψ" = atan("P"_{"screw"}/(pi*"d"))`

Example

`"87.84102°"=atan("5m"/(pi*"0.06m"))`

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Helix Angle for Single Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw))
ψ = atan(P_screw/(pi*d))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Pitch - (Measured in Meter) - Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
Mean Diameter of Screw - (Measured in Meter) - Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

STEP 1: Convert Input(s) to Base Unit

Pitch: 5 Meter --> 5 Meter No Conversion Required
Mean Diameter of Screw: 0.06 Meter --> 0.06 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = atan(P_screw/(pi*d)) --> atan(5/(pi*0.06))

Evaluating ... ...

ψ = 1.53311505935313

STEP 3: Convert Result to Output's Unit

1.53311505935313 Radian -->87.8410224088997 Degree (Check conversion here)

FINAL ANSWER

87.8410224088997 ≈ 87.84102 Degree <-- Helix 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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< 9 Screw and Nut Calculators

Force at Circumference of Screw given Helix Angle and Coefficient of Friction

Go Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle)))

Torque Required to Overcome Friction between Screw and Nut during Lowering Load

Go Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

Torque Required to Overcome Friction between Screw and Nut while Lowering Load

Go Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

Torque Required to Overcome Friction between Screw and Nut

Go Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2

Helix Angle for Multi-Threaded Screw

Go Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))

Force at Circumference of Screw given Helix Angle and Limiting Angle

Go Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)

Helix Angle for Single Threaded Screw

Go Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw))

Helix Angle

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

Lead of Screw

Go Lead of Screw = Pitch*Number of Threads

Helix Angle for Single Threaded Screw Formula

Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw))
ψ = atan(P_screw/(pi*d))

What is helix angle in thread?

The thread angle is the angle produced between the threads. For a straight thread, where the lead of the thread and the pitch diameter circle circumference form a right angled triangle, the helix angle is the angle opposite the lead.

How do you find the helix angle?

In terms specific to screws, the helix angle can be found by unraveling the helix from the screw, representing the section as a right triangle, and calculating the angle that is formed.

How to Calculate Helix Angle for Single Threaded Screw?

Helix Angle for Single Threaded Screw calculator uses Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw)) to calculate the Helix Angle, Helix Angle for single threaded screw is the angle produced between the threads. Helix Angle is denoted by ψ symbol.

How to calculate Helix Angle for Single Threaded Screw using this online calculator? To use this online calculator for Helix Angle for Single Threaded Screw, enter Pitch (P_screw) & Mean Diameter of Screw (d) and hit the calculate button. Here is how the Helix Angle for Single Threaded Screw calculation can be explained with given input values -> 5032.92 = atan(5/(pi*0.06)).

FAQ

What is Helix Angle for Single Threaded Screw?

Helix Angle for single threaded screw is the angle produced between the threads and is represented as ψ = atan(P_screw/(pi*d)) or Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw)). Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch & Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

How to calculate Helix Angle for Single Threaded Screw?

Helix Angle for single threaded screw is the angle produced between the threads is calculated using Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw)). To calculate Helix Angle for Single Threaded Screw, you need Pitch (P_screw) & Mean Diameter of Screw (d). With our tool, you need to enter the respective value for Pitch & 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 Pitch & Mean Diameter of Screw. We can use 2 other way(s) to calculate the same, which is/are as follows -

Helix Angle = atan(Lead of Screw/Circumference of Screw)
Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))

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