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)
τs = Wa/(pi*dc*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
τs = Wa/(pi*dc*t*z) --> 131000/(pi*0.042*0.004*9)
Evaluating ... ...
τs = 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)

Credits

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 Unit Bearing Pressure
Go Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2)
Core Diameter of Screw given Unit Bearing Pressure
Go Core diameter of screw = sqrt((Nominal diameter of screw)^2-(4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads)))
Number of Threads in Engagement with Nut given Unit Bearing Pressure
Go 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))))
Unit Bearing Pressure for Thread
Go Unit bearing pressure for nut = 4*Axial load on screw/(pi*Number of Engaged Threads*((Nominal diameter of screw^2)-(Core diameter of screw^2)))
Axial Load on Screw given Unit Bearing Pressure
Go 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
Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut
Go Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness)
Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut
Go Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut)
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
Core Diameter of Screw given Direct Compressive Stress
Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))
Bearing Area between Screw and Nut for One Thread
Go Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
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
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)
τs = Wa/(pi*dc*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 τs 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 (Wa), Core diameter of screw (dc), 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 τs = Wa/(pi*dc*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 (Wa), Core diameter of screw (dc), 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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