Angle of inclination of thread Calculator

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Friction

Engineering Mechanics

General Principal to Dynamics

Properties of Planes and Solids

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✖Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Pitch [P_s]			+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_m]			+10% -10%

✖the thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.ⓘ Angle of inclination of thread [θthread angle]

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Formula

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Angle of inclination of thread

Formula

`"θthread angle" = atan("P"_{"s"}/(pi*"d"_{"m"}))`

Example

`"66.86508°"=atan("12.5m"/(pi*"1.7m"))`

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Angle of inclination of thread Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thread Angle = atan(Pitch/(pi*Mean Diameter of Screw))
θthread angle = atan(P_s/(pi*d_m))
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

Thread Angle - (Measured in Radian) - the thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.
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: 12.5 Meter --> 12.5 Meter No Conversion Required
Mean Diameter of Screw: 1.7 Meter --> 1.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θthread angle = atan(P_s/(pi*d_m)) --> atan(12.5/(pi*1.7))

Evaluating ... ...

θthread angle = 1.16701587180889

STEP 3: Convert Result to Output's Unit

1.16701587180889 Radian -->66.8650840794423 Degree (Check conversion here)

FINAL ANSWER

66.8650840794423 ≈ 66.86508 Degree <-- Thread Angle

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< 4 Screw Friction Calculators

Slope of thread in multi-threaded screw

Go Slope of Multiple Threads = (Number of Threads*Pitch)/(pi*Mean Diameter of Screw)

Angle of inclination of thread

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

Slope of thread

Go Slope of Thread = (Pitch)/(pi*Mean Diameter of Screw)

Pitch of screw

Go Pitch = Lead of Screw/Number of Threads

Angle of inclination of thread Formula

Thread Angle = atan(Pitch/(pi*Mean Diameter of Screw))
θthread angle = atan(P_s/(pi*d_m))

What is slope of thread?

Slope of the thread is defined as the inclination of the thread with horizontal. It is also given as the ratio of lead of screw to the circumference of screw.

How to Calculate Angle of inclination of thread?

Angle of inclination of thread calculator uses Thread Angle = atan(Pitch/(pi*Mean Diameter of Screw)) to calculate the Thread Angle, The Angle of inclination of thread formula is defined as the inverse tan of ratio of pitch of the screw to π times of mean diameter of screw. Thread Angle is denoted by θthread angle symbol.

How to calculate Angle of inclination of thread using this online calculator? To use this online calculator for Angle of inclination of thread, enter Pitch (P_s) & Mean Diameter of Screw (d_m) and hit the calculate button. Here is how the Angle of inclination of thread calculation can be explained with given input values -> 1011.659 = atan(12.5/(pi*1.7)).

FAQ

What is Angle of inclination of thread?

The Angle of inclination of thread formula is defined as the inverse tan of ratio of pitch of the screw to π times of mean diameter of screw and is represented as θthread angle = atan(P_s/(pi*d_m)) or Thread 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 Angle of inclination of thread?

The Angle of inclination of thread formula is defined as the inverse tan of ratio of pitch of the screw to π times of mean diameter of screw is calculated using Thread Angle = atan(Pitch/(pi*Mean Diameter of Screw)). To calculate Angle of inclination of thread, you need Pitch (P_s) & Mean Diameter of Screw (d_m). 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.

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