Transverse Shear 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%
✖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%

✖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]

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Transverse Shear Stress in Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
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

τ_s = W_a/(pi*d_c*t*z) --> 131000/(pi*0.042*0.004*9)

Evaluating ... ...

τ_s = 27578435.9061353

STEP 3: Convert Result to Output's Unit

27578435.9061353 Pascal -->27.5784359061353 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

27.5784359061353 ≈ 27.57844 Newton per Square Millimeter <-- Transverse Shear Stress in Screw

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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

Transverse Shear Stress in Screw Formula

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

Transverse Shear Stress

The shear stress due to bending is often referred to as transverse shear. Like the normal stress there is a stress profile that is based off of the neutral axis of the particular cross-sectional area. Unlike normal stress, the highest stress value occurs at the neutral axis, while there is no stress on the walls.

How to Calculate Transverse Shear Stress in Screw?

Transverse Shear Stress in Screw calculator uses Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads) to calculate the Transverse Shear Stress in Screw, transverse shear stress in screw is shear stress due to bending. Like normal stress, there is a stress profile that is based on the neutral axis of the particular cross-sectional area. Transverse Shear Stress in Screw is denoted by τ_s symbol.

How to calculate Transverse Shear Stress in Screw using this online calculator? To use this online calculator for Transverse Shear Stress in Screw, enter Axial load on screw (W_a), Core diameter of screw (d_c), Thread Thickness (t) & Number of Engaged Threads (z) and hit the calculate button. Here is how the Transverse Shear Stress in Screw calculation can be explained with given input values -> 2.8E-5 = 131000/(pi*0.042*0.004*9).

FAQ

What is Transverse Shear Stress in Screw?

transverse shear stress in screw is shear stress due to bending. Like normal stress, there is a stress profile that is based on the neutral axis of the particular cross-sectional area and is represented as τ_s = W_a/(pi*d_c*t*z) or Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads). 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, 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 Transverse Shear Stress in Screw?

transverse shear stress in screw is shear stress due to bending. Like normal stress, there is a stress profile that is based on the neutral axis of the particular cross-sectional area is calculated using Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads). To calculate Transverse Shear Stress in Screw, you need Axial load on screw (W_a), 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 Axial load on 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.

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