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 = Wa/(pi*d*z*tn)
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 = Wa/(pi*d*z*tn) --> 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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25 Design of Screw and Nut Calculators

Nominal Diameter of Screw given Unit Bearing Pressure
Go Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2)
Core Diameter of Screw given Unit Bearing Pressure
Go Core diameter of screw = sqrt((Nominal diameter of screw)^2-(4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads)))
Number of Threads in Engagement with Nut given Unit Bearing Pressure
Go Number of Engaged Threads = 4*Axial load on screw/((pi*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))))
Unit Bearing Pressure for Thread
Go Unit bearing pressure for nut = 4*Axial load on screw/(pi*Number of Engaged Threads*((Nominal diameter of screw^2)-(Core diameter of screw^2)))
Axial Load on Screw given Unit Bearing Pressure
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
Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut
Go Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness)
Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut
Go Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut)
Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut
Go Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)
Transverse Shear Stress at Root of Nut
Go Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads)
Thread Thickness at Core Diameter of Screw given Transverse Shear Stress
Go Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)
Number of Threads in Engagement with Nut given Transverse Shear Stress
Go Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)
Core Diameter of Screw given Transverse Shear Stress in Screw
Go Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)
Axial Load on Screw given Transverse Shear Stress
Go Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
Transverse Shear Stress in Screw
Go Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
Axial Load on Screw given Transverse Shear Stress at Root of Nut
Go Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads
Core Diameter of Screw given Direct Compressive Stress
Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))
Bearing Area between Screw and Nut for One Thread
Go Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
Core Diameter of Screw given Torsional Shear Stress
Go Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)
Torsional Shear Stress of Screw
Go Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3))
Torsional Moment in Screw given Torsional Shear Stress
Go Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16
Direct Compressive Stress in Screw
Go Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)
Axial Load on Screw given Direct Compressive Stress
Go Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4
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 = Wa/(pi*d*z*tn)

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 (Wa), Nominal diameter of screw (d), Number of Engaged Threads (z) & Transverse shear stress in nut (tn) 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 = Wa/(pi*d*z*tn) 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 (Wa), Nominal diameter of screw (d), Number of Engaged Threads (z) & Transverse shear stress in nut (tn). 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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