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
Wa = pi*tn*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
Wa = pi*tn*t*d*z --> pi*23300000*0.004*0.05*9
Evaluating ... ...
Wa = 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)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

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

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

Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads
Wa = pi*tn*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 Wa 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 (tn), 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 Wa = pi*tn*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 (tn), 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!