Axial Load on Screw given Direct Compressive Stress Calculator

✖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.ⓘ Compressive stress in screw [σ_c]			+10% -10%
✖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.ⓘ Core diameter of screw [d_c]			+10% -10%

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial Load on Screw given Direct Compressive Stress [W_a]

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Formula

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Axial Load on Screw given Direct Compressive Stress

Formula

`"W"_{"a"} = ("σ"_{"c"}*pi*"d"_{"c"}^2)/4`

Example

`"130231.6N"=("94N/mm²"*pi*("42mm")^2)/4`

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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
W_a = (σ_c*pi*d_c^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

W_a = (σ_c*pi*d_c^2)/4 --> (94000000*pi*0.042^2)/4

Evaluating ... ...

W_a = 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 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Design of Screw and Nut » Axial Load on Screw given Direct Compressive Stress

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 25 Design of Screw and Nut Calculators

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

Overall Efficiency of Power Screw

Go Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw)

Lead of Screw given Overall Efficiency

Go Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw

Core Diameter of Screw given Direct Compressive Stress

Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))

Helix Angle of Thread

Go Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))

Mean diameter of Screw given Helix Angle

Go Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw))

Lead of Screw given Helix angle

Go Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

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 given Mean Diameter

Go Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)

Pitch of Screw given Mean Diameter

Go Pitch of power screw thread = (Nominal diameter of screw-Mean Diameter of Power Screw)/0.5

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

Axial Load on Screw given Direct Compressive Stress Formula

Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4
W_a = (σ_c*pi*d_c^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 W_a 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 (σ_c) & Core diameter of screw (d_c) 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 W_a = (σ_c*pi*d_c^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 (σ_c) & Core diameter of screw (d_c). 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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