Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Calculator

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

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Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut)
t = W_a/(pi*d*z*t_n)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thread Thickness - (Measured in Meter) - Thread Thickness is defined as the thickness of a single thread.
Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
Nominal diameter of screw: 50 Millimeter --> 0.05 Meter (Check conversion here)
Number of Engaged Threads: 9 --> No Conversion Required
Transverse shear stress in nut: 23.3 Newton per Square Millimeter --> 23300000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = W_a/(pi*d*z*t_n) --> 131000/(pi*0.05*9*23300000)

Evaluating ... ...

t = 0.00397697616500492

STEP 3: Convert Result to Output's Unit

0.00397697616500492 Meter -->3.97697616500492 Millimeter (Check conversion here)

FINAL ANSWER

3.97697616500492 ≈ 3.976976 Millimeter <-- Thread Thickness

(Calculation completed in 00.004 seconds)

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

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< Design of Screw and Nut Calculators

Mean Diameter of Power Screw

Go Mean Diameter of Power Screw = Nominal diameter of screw-0.5*Pitch of power screw thread

Nominal Diameter of Power Screw

Go Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread

Core Diameter of Power Screw

Go Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread

Pitch of Power Screw

Go Pitch of power screw thread = Nominal diameter of screw-Core diameter of screw

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Formula

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

What is Thread Thickness ?

Thread Thickness is the distance between the adjacent sides of the thread measured along or parallel to the pitch line of the screw. The lower the number, the lighter/finer the thread. Most medium-weight thread is Denier 225.

How to Calculate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut calculator uses Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut) to calculate the Thread Thickness, The Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut determines the thickness of individual thread of a Nut at its Root, that can function under certain loading conditions. Thread Thickness is denoted by t symbol.

How to calculate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut using this online calculator? To use this online calculator for Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut, enter Axial load on screw (W_a), Nominal diameter of screw (d), Number of Engaged Threads (z) & Transverse shear stress in nut (t_n) and hit the calculate button. Here is how the Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut calculation can be explained with given input values -> 3976.976 = 131000/(pi*0.05*9*23300000).

FAQ

What is Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

The Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut determines the thickness of individual thread of a Nut at its Root, that can function under certain loading conditions and is represented as t = W_a/(pi*d*z*t_n) or Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut). Axial load on screw is the instantaneous load applied to the screw along its axis, 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 & Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation.

How to calculate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

The Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut determines the thickness of individual thread of a Nut at its Root, that can function under certain loading conditions is calculated using Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut). To calculate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut, you need Axial load on screw (W_a), Nominal diameter of screw (d), Number of Engaged Threads (z) & Transverse shear stress in nut (t_n). With our tool, you need to enter the respective value for Axial load on screw, Nominal diameter of screw, Number of Engaged Threads & Transverse shear stress in nut 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 Thread Thickness?

In this formula, Thread Thickness uses Axial load on screw, Nominal diameter of screw, Number of Engaged Threads & Transverse shear stress in nut. We can use 1 other way(s) to calculate the same, which is/are as follows -

Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)

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