Slope of thread in multi-threaded screw Calculator

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Friction

Engineering Mechanics

General Principal to Dynamics

Properties of Planes and Solids

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✖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_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%

✖Slope of Multiple Threads is the inclination of the thread with horizontal.ⓘ Slope of thread in multi-threaded screw [α_m]

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Formula

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Slope of thread in multi-threaded screw

Formula

`"α"_{"m"} = ("n"*"P"_{"s"})/(pi*"d"_{"m"})`

Example

`"35.10771"=("15"*"12.5m")/(pi*"1.7m")`

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Slope of thread in multi-threaded screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Multiple Threads = (Number of Threads*Pitch)/(pi*Mean Diameter of Screw)
α_m = (n*P_s)/(pi*d_m)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Slope of Multiple Threads - Slope of Multiple Threads is the inclination of the thread with horizontal.
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: 15 --> No Conversion Required
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

α_m = (n*P_s)/(pi*d_m) --> (15*12.5)/(pi*1.7)

Evaluating ... ...

α_m = 35.1077080349769

STEP 3: Convert Result to Output's Unit

35.1077080349769 --> No Conversion Required

FINAL ANSWER

35.1077080349769 ≈ 35.10771 <-- Slope of Multiple Threads

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 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

Slope of thread in multi-threaded screw Formula

Slope of Multiple Threads = (Number of Threads*Pitch)/(pi*Mean Diameter of Screw)
α_m = (n*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 Slope of thread in multi-threaded screw?

Slope of thread in multi-threaded screw calculator uses Slope of Multiple Threads = (Number of Threads*Pitch)/(pi*Mean Diameter of Screw) to calculate the Slope of Multiple Threads, The Slope of thread in multi-threaded screw formula is defined as the ratio of product of number of threads and pitch of screw to the π times of mean diameter of screw. Slope of Multiple Threads is denoted by α_m symbol.

How to calculate Slope of thread in multi-threaded screw using this online calculator? To use this online calculator for Slope of thread in multi-threaded screw, enter Number of Threads (n), Pitch (P_s) & Mean Diameter of Screw (d_m) and hit the calculate button. Here is how the Slope of thread in multi-threaded screw calculation can be explained with given input values -> 35.10771 = (15*12.5)/(pi*1.7).

FAQ

What is Slope of thread in multi-threaded screw?

The Slope of thread in multi-threaded screw formula is defined as the ratio of product of number of threads and pitch of screw to the π times of mean diameter of screw and is represented as α_m = (n*P_s)/(pi*d_m) or Slope of Multiple Threads = (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 Slope of thread in multi-threaded screw?

The Slope of thread in multi-threaded screw formula is defined as the ratio of product of number of threads and pitch of screw to the π times of mean diameter of screw is calculated using Slope of Multiple Threads = (Number of Threads*Pitch)/(pi*Mean Diameter of Screw). To calculate Slope of thread in multi-threaded screw, you need Number of Threads (n), Pitch (P_s) & Mean Diameter of Screw (d_m). 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.

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