Helix Angle for Multi-Threaded Screw Calculator

✖Number of Threads is total no. of threads in a screw.ⓘ Number of Threads [n]			+10% -10%
✖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 Multi-Threaded Screw [ψ]

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Formula

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Helix Angle for Multi-Threaded Screw

Formula

`"ψ" = atan(("n"*"P"_{"screw"})/(pi*"d"))`

Example

`"89.865°"=atan(("16"*"5m")/(pi*"0.06m"))`

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Helix Angle for Multi-Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))
ψ = atan((n*P_screw)/(pi*d))
This formula uses 1 Constants, 2 Functions, 4 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.
Number of Threads - Number of Threads is total no. of threads in a screw.
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

Number of Threads: 16 --> No Conversion Required
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((n*P_screw)/(pi*d)) --> atan((16*5)/(pi*0.06))

Evaluating ... ...

ψ = 1.56844013666495

STEP 3: Convert Result to Output's Unit

1.56844013666495 Radian -->89.8650002498404 Degree (Check conversion here)

FINAL ANSWER

89.8650002498404 ≈ 89.865 Degree <-- Helix Angle

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Friction Devices » Screw and Nut » Helix Angle for Multi-Threaded Screw

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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 Multi-Threaded Screw Formula

Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))
ψ = atan((n*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 Multi-Threaded Screw?

Helix Angle for Multi-Threaded Screw calculator uses Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw)) to calculate the Helix Angle, Helix Angle for Multi-Threaded Screw is the angle produced between the threads. The helix angle is the angle opposite the lead. Helix Angle is denoted by ψ symbol.

How to calculate Helix Angle for Multi-Threaded Screw using this online calculator? To use this online calculator for Helix Angle for Multi-Threaded Screw, enter Number of Threads (n), Pitch (P_screw) & Mean Diameter of Screw (d) and hit the calculate button. Here is how the Helix Angle for Multi-Threaded Screw calculation can be explained with given input values -> 5148.885 = atan((16*5)/(pi*0.06)).

FAQ

What is Helix Angle for Multi-Threaded Screw?

Helix Angle for Multi-Threaded Screw is the angle produced between the threads. The helix angle is the angle opposite the lead and is represented as ψ = atan((n*P_screw)/(pi*d)) or Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw)). Number of Threads is total no. of threads in a 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 Multi-Threaded Screw?

Helix Angle for Multi-Threaded Screw is the angle produced between the threads. The helix angle is the angle opposite the lead is calculated using Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw)). To calculate Helix Angle for Multi-Threaded Screw, you need Number of Threads (n), Pitch (P_screw) & Mean Diameter of Screw (d). With our tool, you need to enter the respective value for Number of Threads, 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 Number of Threads, 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(Pitch/(pi*Mean Diameter of Screw))

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