Axial Load on Screw given Direct Compressive Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4
Wa = (σc*pi*dc^2)/4
This formula uses 1 Constants, 3 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.
Compressive stress in screw - (Measured in Pascal) - Compressive stress in screw is the force per unit area that is responsible for the deformation of the material such that the volume of the material reduces.
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
Compressive stress in screw: 94 Newton per Square Millimeter --> 94000000 Pascal (Check conversion here)
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wa = (σc*pi*dc^2)/4 --> (94000000*pi*0.042^2)/4
Evaluating ... ...
Wa = 130231.581861911
STEP 3: Convert Result to Output's Unit
130231.581861911 Newton --> No Conversion Required
FINAL ANSWER
130231.581861911 130231.6 Newton <-- Axial load on screw
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Osmania University (OU), Hyderabad
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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

Axial Load on Screw given Direct Compressive Stress Formula

Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4
Wa = (σc*pi*dc^2)/4

Define Compressive Stress?

Compressive stress is the force that is responsible for the deformation of the material such that the volume of the material reduces. It is the stress experienced by a material which leads to a smaller volume.

How to Calculate Axial Load on Screw given Direct Compressive Stress?

Axial Load on Screw given Direct Compressive Stress calculator uses Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4 to calculate the Axial load on screw, Axial Load on Screw given Direct Compressive Stress 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 Direct Compressive Stress using this online calculator? To use this online calculator for Axial Load on Screw given Direct Compressive Stress, enter Compressive stress in screw c) & Core diameter of screw (dc) and hit the calculate button. Here is how the Axial Load on Screw given Direct Compressive Stress calculation can be explained with given input values -> 130231.6 = (94000000*pi*0.042^2)/4.

FAQ

What is Axial Load on Screw given Direct Compressive Stress?
Axial Load on Screw given Direct Compressive Stress 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 = (σc*pi*dc^2)/4 or Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4. Compressive stress in screw is the force per unit area that is responsible for the deformation of the material such that the volume of the material reduces & 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 Direct Compressive Stress?
Axial Load on Screw given Direct Compressive Stress 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 = (Compressive stress in screw*pi*Core diameter of screw^2)/4. To calculate Axial Load on Screw given Direct Compressive Stress, you need Compressive stress in screw c) & Core diameter of screw (dc). With our tool, you need to enter the respective value for Compressive stress in 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 Compressive stress in 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 = (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
  • 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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