Number of Threads in Engagement with Nut given Transverse Shear Stress Calculator

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial load on screw [W_a]			+10% -10%
✖Thread Thickness is defined as the thickness of a single thread.ⓘ Thread Thickness [t]			+10% -10%
✖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%

✖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 Threads in Engagement with Nut given Transverse Shear Stress [z]

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Number of Threads in Engagement with Nut given Transverse Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)
z = W_a/(pi*t*τ_s*d_c)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
Thread Thickness - (Measured in Meter) - Thread Thickness is defined as the thickness of a single thread.
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.

STEP 1: Convert Input(s) to Base Unit

Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
Thread Thickness: 4 Millimeter --> 0.004 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = W_a/(pi*t*τ_s*d_c) --> 131000/(pi*0.004*27600000*0.042)

Evaluating ... ...

z = 8.99296823026151

STEP 3: Convert Result to Output's Unit

8.99296823026151 --> No Conversion Required

FINAL ANSWER

8.99296823026151 ≈ 8.992968 <-- Number of Engaged Threads

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< Design of Screw and Nut Calculators

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

Number of Threads in Engagement with Nut given Transverse Shear Stress Formula

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

Length and Depth of Thread Engagement

The axial distance through which the fully formed threads of both the nut and bolt are in contact is called the Length of Thread Engagement. The Depth of Thread Engagement is the distance the threads overlap in a radial direction.

How to Calculate Number of Threads in Engagement with Nut given Transverse Shear Stress?

Number of Threads in Engagement with Nut given Transverse Shear Stress calculator uses Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw) to calculate the Number of Engaged Threads, The Number of Threads in Engagement with Nut given Transverse Shear Stress, is the count of threads that lie between the Length of Thread Engagement of the Nut. Number of Engaged Threads is denoted by z symbol.

How to calculate Number of Threads in Engagement with Nut given Transverse Shear Stress using this online calculator? To use this online calculator for Number of Threads in Engagement with Nut given Transverse Shear Stress, enter Axial load on screw (W_a), Thread Thickness (t), Transverse Shear Stress in Screw (τ_s) & Core diameter of screw (d_c) and hit the calculate button. Here is how the Number of Threads in Engagement with Nut given Transverse Shear Stress calculation can be explained with given input values -> 8.992968 = 131000/(pi*0.004*27600000*0.042).

FAQ

What is Number of Threads in Engagement with Nut given Transverse Shear Stress?

The Number of Threads in Engagement with Nut given Transverse Shear Stress, is the count of threads that lie between the Length of Thread Engagement of the Nut and is represented as z = W_a/(pi*t*τ_s*d_c) or Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw). Axial load on screw is the instantaneous load applied to the screw along its axis, Thread Thickness is defined as the thickness of a single thread, 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.

How to calculate Number of Threads in Engagement with Nut given Transverse Shear Stress?

The Number of Threads in Engagement with Nut given Transverse Shear Stress, is the count of threads that lie between the Length of Thread Engagement of the Nut is calculated using Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw). To calculate Number of Threads in Engagement with Nut given Transverse Shear Stress, you need Axial load on screw (W_a), Thread Thickness (t), Transverse Shear Stress in Screw (τ_s) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Axial load on screw, Thread Thickness, Transverse Shear 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 Number of Engaged Threads?

In this formula, Number of Engaged Threads uses Axial load on screw, Thread Thickness, Transverse Shear Stress in Screw & Core diameter of screw. We can use 2 other way(s) to calculate the same, which is/are as follows -

Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness)
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))))

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