Axial Load on Screw given Transverse Shear Stress at Root of Nut Calculator

✖Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation.ⓘ Transverse shear stress in nut [t_n]			+10% -10%
✖Thread Thickness is defined as the thickness of a single thread.ⓘ Thread Thickness [t]			+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%
✖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%

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial Load on Screw given Transverse Shear Stress at Root of Nut [W_a]

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Axial Load on Screw given Transverse Shear Stress at Root of Nut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads
W_a = pi*t_n*t*d*z
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.
Transverse shear stress in nut - (Measured in Pascal) - Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation.
Thread Thickness - (Measured in Meter) - Thread Thickness is defined as the thickness of a single thread.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Transverse shear stress in nut: 23.3 Newton per Square Millimeter --> 23300000 Pascal (Check conversion here)
Thread Thickness: 4 Millimeter --> 0.004 Meter (Check conversion here)
Nominal diameter of screw: 50 Millimeter --> 0.05 Meter (Check conversion here)
Number of Engaged Threads: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_a = pi*t_n*t*d*z --> pi*23300000*0.004*0.05*9

Evaluating ... ...

W_a = 131758.395891556

STEP 3: Convert Result to Output's Unit

131758.395891556 Newton --> No Conversion Required

FINAL ANSWER

131758.395891556 ≈ 131758.4 Newton <-- Axial load on screw

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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

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Axial Load on Screw given Transverse Shear Stress at Root of Nut Formula

LaTeX Go

Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads
W_a = pi*t_n*t*d*z

Optimum Axial Load

Optimum Axial Load is usually taken as half of the calculated load, so as maintain a Factor of Safety in case of unwanted occurrences such as jerking, over-tightening.

How to Calculate Axial Load on Screw given Transverse Shear Stress at Root of Nut?

Axial Load on Screw given Transverse Shear Stress at Root of Nut calculator uses Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads to calculate the Axial load on screw, Axial Load on Screw given Transverse Shear Stress at Root of Nut 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 Transverse Shear Stress at Root of Nut using this online calculator? To use this online calculator for Axial Load on Screw given Transverse Shear Stress at Root of Nut, enter Transverse shear stress in nut (t_n), Thread Thickness (t), Nominal diameter of screw (d) & Number of Engaged Threads (z) and hit the calculate button. Here is how the Axial Load on Screw given Transverse Shear Stress at Root of Nut calculation can be explained with given input values -> 131758.4 = pi*23300000*0.004*0.05*9.

FAQ

What is Axial Load on Screw given Transverse Shear Stress at Root of Nut?

Axial Load on Screw given Transverse Shear Stress at Root of Nut 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*t_n*t*d*z or Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads. Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation, Thread Thickness is defined as the thickness of a single thread, Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw & 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.

How to calculate Axial Load on Screw given Transverse Shear Stress at Root of Nut?

Axial Load on Screw given Transverse Shear Stress at Root of Nut 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*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads. To calculate Axial Load on Screw given Transverse Shear Stress at Root of Nut, you need Transverse shear stress in nut (t_n), Thread Thickness (t), Nominal diameter of screw (d) & Number of Engaged Threads (z). With our tool, you need to enter the respective value for Transverse shear stress in nut, Thread Thickness, Nominal diameter of screw & Number of Engaged Threads 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 Transverse shear stress in nut, Thread Thickness, Nominal diameter of screw & Number of Engaged Threads. 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*Number of Engaged Threads*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4

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