Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Calculator

✖The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.ⓘ Tensile Force on Bolt [P]			+10% -10%
✖Core Diameter of Threaded Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.ⓘ Core Diameter of Threaded Bolt [d_c']			+10% -10%
✖Height of Nut is the length of the nut measured along its central axis.ⓘ Height of Nut [h_n]			+10% -10%

✖Shear Stress in Bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress at Core Diameter of Threaded Fastener given Tensile Force [𝜏]

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Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut)
𝜏 = P/(pi*d_c'*h_n)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress in Bolt - (Measured in Pascal) - Shear Stress in Bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress.
Tensile Force on Bolt - (Measured in Newton) - The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.
Core Diameter of Threaded Bolt - (Measured in Meter) - Core Diameter of Threaded Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.
Height of Nut - (Measured in Meter) - Height of Nut is the length of the nut measured along its central axis.

STEP 1: Convert Input(s) to Base Unit

Tensile Force on Bolt: 28200 Newton --> 28200 Newton No Conversion Required
Core Diameter of Threaded Bolt: 8.5 Millimeter --> 0.0085 Meter (Check conversion here)
Height of Nut: 8.8 Millimeter --> 0.0088 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = P/(pi*d_c'*h_n) --> 28200/(pi*0.0085*0.0088)

Evaluating ... ...

𝜏 = 120004529.283194

STEP 3: Convert Result to Output's Unit

120004529.283194 Pascal -->120.004529283194 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

120.004529283194 ≈ 120.0045 Newton per Square Millimeter <-- Shear Stress in Bolt

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Threaded Fastener » Mechanical » Structural Response and Force Analysis » Shear Stress at Core Diameter of Threaded Fastener given Tensile Force

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Structural Response and Force Analysis Calculators

Tensile Stress Area of Threaded fastener

LaTeX Go Tensile Stress Area of Threaded Fastener = pi/4*((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

LaTeX Go Tensile Stress in Bolt = Tensile Force on Bolt/(pi/4*Core Diameter of Threaded Bolt^2)

Tensile Force acting on Bolt given Tensile Stress

LaTeX Go Tensile Force on Bolt = Tensile Stress in Bolt*pi*(Core Diameter of Threaded Bolt^2)/4

Tensile Yield Strength of Bolt

LaTeX Go Tensile Yield Strength of Bolt = Factor of Safety For Bolt*Tensile Stress in Bolt

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Formula

LaTeX Go

Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut)
𝜏 = P/(pi*d_c'*h_n)

What is a fastener?

A fastener or fastening is a hardware device that mechanically joins or affixes two or more objects together. In general, fasteners are used to create non-permanent joints; that is, joints that can be removed or dismantled without damaging the joining components.

How to Calculate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force calculator uses Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut) to calculate the Shear Stress in Bolt, Shear Stress at Core Diameter of Threaded Fastener given Tensile Force formula is defined as the force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Bolt is denoted by 𝜏 symbol.

How to calculate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force using this online calculator? To use this online calculator for Shear Stress at Core Diameter of Threaded Fastener given Tensile Force, enter Tensile Force on Bolt (P), Core Diameter of Threaded Bolt (d_c') & Height of Nut (h_n) and hit the calculate button. Here is how the Shear Stress at Core Diameter of Threaded Fastener given Tensile Force calculation can be explained with given input values -> 0.00012 = 28200/(pi*0.0085*0.0088).

FAQ

What is Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force formula is defined as the force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress and is represented as 𝜏 = P/(pi*d_c'*h_n) or Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut). The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt, Core Diameter of Threaded Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread & Height of Nut is the length of the nut measured along its central axis.

How to calculate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force formula is defined as the force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut). To calculate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force, you need Tensile Force on Bolt (P), Core Diameter of Threaded Bolt (d_c') & Height of Nut (h_n). With our tool, you need to enter the respective value for Tensile Force on Bolt, Core Diameter of Threaded Bolt & Height of Nut 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 Shear Stress in Bolt?

In this formula, Shear Stress in Bolt uses Tensile Force on Bolt, Core Diameter of Threaded Bolt & Height of Nut. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Bolt = Shear Yield Strength of Bolt/Factor of Safety For Bolt
Shear Stress in Bolt = Tensile Yield Strength of Bolt/(2*Factor of Safety For Bolt)

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