Direct Compressive Stress in Screw Calculator

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial load on screw [W_a]			+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%

✖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.ⓘ Direct Compressive Stress in Screw [σ_c]

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Formula

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Direct Compressive Stress in Screw

Formula

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

Example

`"94.55464N/mm²"=("131000N"*4)/(pi*("42mm")^2)`

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Direct Compressive Stress in Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)
σ_c = (W_a*4)/(pi*d_c^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
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

Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (W_a*4)/(pi*d_c^2) --> (131000*4)/(pi*0.042^2)

Evaluating ... ...

σ_c = 94554637.3924639

STEP 3: Convert Result to Output's Unit

94554637.3924639 Pascal -->94.5546373924639 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

94.5546373924639 ≈ 94.55464 Newton per Square Millimeter <-- Compressive stress in screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Design of Screw and Nut » Direct Compressive Stress in Screw

Credits

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

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 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

Direct Compressive Stress in Screw Formula

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

Direct Compressive Stress of Screw

Direct Compressive Stress of Screw is the compressive stress generated in the screw when a axial force(W) is applied to it. Screw is subjected to torque, axial compressive load and bending moment also, sometimes. Screws are generally made of C30 or C40 steel. As the failure of power screws may lead to serious accident, higher factor of safety of 3 to 5 is taken. Threads may fail due to shear, which can be avoided by using nut of sufficient height. Wear is another possible mode of thread failure as the threads of nut and bolt rub against each other.

How to Calculate Direct Compressive Stress in Screw?

Direct Compressive Stress in Screw calculator uses Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2) to calculate the Compressive stress in screw, Direct Compressive Stress in Screw formula is defined as the compressive stress generated in the screw when an axial force(W) is applied to it. Compressive stress in screw is denoted by σ_c symbol.

How to calculate Direct Compressive Stress in Screw using this online calculator? To use this online calculator for Direct Compressive Stress in Screw, enter Axial load on screw (W_a) & Core diameter of screw (d_c) and hit the calculate button. Here is how the Direct Compressive Stress in Screw calculation can be explained with given input values -> 9.5E-5 = (131000*4)/(pi*0.042^2).

FAQ

What is Direct Compressive Stress in Screw?

Direct Compressive Stress in Screw formula is defined as the compressive stress generated in the screw when an axial force(W) is applied to it and is represented as σ_c = (W_a*4)/(pi*d_c^2) or Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2). Axial load on screw is the instantaneous load applied to the screw along its axis & 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 Direct Compressive Stress in Screw?

Direct Compressive Stress in Screw formula is defined as the compressive stress generated in the screw when an axial force(W) is applied to it is calculated using Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2). To calculate Direct Compressive Stress in Screw, you need Axial load on screw (W_a) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Axial load on 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.

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