Axial Load on Screw given Unit Bearing Pressure Calculator

✖A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut.ⓘ Number of Engaged Threads [z]			+10% -10%
✖Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair.ⓘ Unit bearing pressure for nut [S_b]			+10% -10%
✖Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.ⓘ Nominal diameter of screw [d]			+10% -10%
✖Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.ⓘ Core diameter of screw [d_c]			+10% -10%

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial Load on Screw given Unit Bearing Pressure [W_a]

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Axial Load on Screw given Unit Bearing Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial load on screw = pi*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
W_a = pi*z*S_b*((d^2)-(d_c^2))/4
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
Number of Engaged Threads - A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut.
Unit bearing pressure for nut - (Measured in Pascal) - Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair.
Nominal diameter of screw - (Measured in Meter) - Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.
Core diameter of screw - (Measured in Meter) - Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

STEP 1: Convert Input(s) to Base Unit

Number of Engaged Threads: 9 --> No Conversion Required
Unit bearing pressure for nut: 24.9 Newton per Square Millimeter --> 24900000 Pascal (Check conversion here)
Nominal diameter of screw: 50 Millimeter --> 0.05 Meter (Check conversion here)
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_a = pi*z*S_b*((d^2)-(d_c^2))/4 --> pi*9*24900000*((0.05^2)-(0.042^2))/4

Evaluating ... ...

W_a = 129541.688115183

STEP 3: Convert Result to Output's Unit

129541.688115183 Newton --> No Conversion Required

FINAL ANSWER

129541.688115183 ≈ 129541.7 Newton <-- Axial load on screw

(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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Axial Load on Screw given Unit Bearing Pressure Formula

LaTeX Go

Axial load on screw = pi*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
W_a = pi*z*S_b*((d^2)-(d_c^2))/4

What is the Bearing Area for the Axial Load ?

The Bearing Area is the net effective area on which the Axial Load bears on. It's the projection of the Thread Contact Area in the Screw-Nut pair onto the head of the screw.Mathematically, it's defined as the difference between the Nominal and Core Area of the Screw.

How to Calculate Axial Load on Screw given Unit Bearing Pressure?

Axial Load on Screw given Unit Bearing Pressure calculator uses Axial load on screw = pi*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4 to calculate the Axial load on screw, Axial Load on Screw given Unit Bearing Pressure is defined as any interaction that, when unopposed, will change the motion of a screw. It is a method to determine the maximum Axial Load a single engaged thread of Screw-Nut pair can support without failure. Axial load on screw is denoted by W_a symbol.

How to calculate Axial Load on Screw given Unit Bearing Pressure using this online calculator? To use this online calculator for Axial Load on Screw given Unit Bearing Pressure, enter Number of Engaged Threads (z), Unit bearing pressure for nut (S_b), Nominal diameter of screw (d) & Core diameter of screw (d_c) and hit the calculate button. Here is how the Axial Load on Screw given Unit Bearing Pressure calculation can be explained with given input values -> 129541.7 = pi*9*24900000*((0.05^2)-(0.042^2))/4.

FAQ

What is Axial Load on Screw given Unit Bearing Pressure?

Axial Load on Screw given Unit Bearing Pressure is defined as any interaction that, when unopposed, will change the motion of a screw. It is a method to determine the maximum Axial Load a single engaged thread of Screw-Nut pair can support without failure and is represented as W_a = pi*z*S_b*((d^2)-(d_c^2))/4 or Axial load on screw = pi*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4. A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut, Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair, Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw & Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

How to calculate Axial Load on Screw given Unit Bearing Pressure?

Axial Load on Screw given Unit Bearing Pressure is defined as any interaction that, when unopposed, will change the motion of a screw. It is a method to determine the maximum Axial Load a single engaged thread of Screw-Nut pair can support without failure is calculated using Axial load on screw = pi*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4. To calculate Axial Load on Screw given Unit Bearing Pressure, you need Number of Engaged Threads (z), Unit bearing pressure for nut (S_b), Nominal diameter of screw (d) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Number of Engaged Threads, Unit bearing pressure for nut, Nominal diameter of screw & Core 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 Axial load on screw?

In this formula, Axial load on screw uses Number of Engaged Threads, Unit bearing pressure for nut, Nominal diameter of screw & Core diameter of screw. We can use 3 other way(s) to calculate the same, which is/are as follows -

Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4
Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads

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