Axial Load on Screw given Transverse Shear Stress Calculator

✖Transverse Shear Stress in Screw is the resistance force developed per unit cross-sectional area by the screw to avoid transverse deformation.ⓘ Transverse Shear Stress in Screw [τ_s]			+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%
✖Thread Thickness is defined as the thickness of a single thread.ⓘ Thread Thickness [t]			+10% -10%
✖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.ⓘ Number of Engaged Threads [z]			+10% -10%

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

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Formula

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Axial Load on Screw given Transverse Shear Stress

Formula

`"W"_{"a"} = ("τ"_{"s"}*pi*"d"_{"c"}*"t"*"z")`

Example

`"131102.4N"=("27.6N/mm²"*pi*"42mm"*"4mm"*"9")`

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Axial Load on Screw given Transverse Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
W_a = (τ_s*pi*d_c*t*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 Screw - (Measured in Pascal) - Transverse Shear Stress in Screw is the resistance force developed per unit cross-sectional area by the screw to avoid transverse deformation.
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.
Thread Thickness - (Measured in Meter) - Thread Thickness is defined as the thickness of a single thread.
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 Screw: 27.6 Newton per Square Millimeter --> 27600000 Pascal (Check conversion here)
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)
Thread Thickness: 4 Millimeter --> 0.004 Meter (Check conversion here)
Number of Engaged Threads: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_a = (τ_s*pi*d_c*t*z) --> (27600000*pi*0.042*0.004*9)

Evaluating ... ...

W_a = 131102.431345486

STEP 3: Convert Result to Output's Unit

131102.431345486 Newton --> No Conversion Required

FINAL ANSWER

131102.431345486 ≈ 131102.4 Newton <-- Axial load on screw

(Calculation completed in 00.007 seconds)

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

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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 Transverse Shear Stress Formula

Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
W_a = (τ_s*pi*d_c*t*z)

Defined load?

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 Axial Load on Screw given Transverse Shear Stress?

Axial Load on Screw given Transverse Shear Stress calculator uses Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads) to calculate the Axial load on screw, Axial Load on Screw given Transverse Shear 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 Transverse Shear Stress using this online calculator? To use this online calculator for Axial Load on Screw given Transverse Shear Stress, enter Transverse Shear Stress in Screw (τ_s), Core diameter of screw (d_c), Thread Thickness (t) & Number of Engaged Threads (z) and hit the calculate button. Here is how the Axial Load on Screw given Transverse Shear Stress calculation can be explained with given input values -> 131102.4 = (27600000*pi*0.042*0.004*9).

FAQ

What is Axial Load on Screw given Transverse Shear Stress?

Axial Load on Screw given Transverse Shear 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 = (τ_s*pi*d_c*t*z) or 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 is the resistance force developed per unit cross-sectional area by the screw to avoid transverse deformation, 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, Thread Thickness is defined as the thickness of a single thread & 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?

Axial Load on Screw given Transverse Shear 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 = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads). To calculate Axial Load on Screw given Transverse Shear Stress, you need Transverse Shear Stress in Screw (τ_s), Core diameter of screw (d_c), Thread Thickness (t) & Number of Engaged Threads (z). With our tool, you need to enter the respective value for Transverse Shear Stress in Screw, Core diameter of screw, Thread Thickness & 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 Screw, Core diameter of screw, Thread Thickness & 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 = 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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