Angle of inclination of thread Calculator

✖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%

✖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 [θ_t]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Friction Formulas PDF PDF Image

Angle of inclination of thread Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

Evaluating ... ...

θ_t = 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 00.020 seconds)

You are here -

Home » Physics » Mechanics » Friction » Mechanical » Screw Friction » Angle of inclination of thread

Credits

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!

< Screw Friction Calculators

Slope of thread in multi-threaded screw

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

Angle of inclination of thread

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

Slope of thread

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

Pitch of screw

LaTeX Go Pitch = Lead of Screw/Number of Threads

Angle of inclination of thread Formula

LaTeX Go

Thread Angle = atan(Pitch/(pi*Mean Diameter of Screw))
θ_t = 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, Angle of inclination of thread formula is defined as the angle between the axis of the thread and a line perpendicular to the axis of rotation, which is a critical parameter in screw threads and is used to describe the shape and size of the thread. Thread Angle is denoted by θ_t 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 -> 3831.087 = atan(12.5/(pi*1.7)).

FAQ

What is Angle of inclination of thread?

Angle of inclination of thread formula is defined as the angle between the axis of the thread and a line perpendicular to the axis of rotation, which is a critical parameter in screw threads and is used to describe the shape and size of the thread and is represented as θ_t = 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?

Angle of inclination of thread formula is defined as the angle between the axis of the thread and a line perpendicular to the axis of rotation, which is a critical parameter in screw threads and is used to describe the shape and size of the thread 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.

Home

FREE PDFs

🔍 Search