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*dc'*hnut)
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*dc'*hnut) --> 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)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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17 Structural Response and Force Analysis Calculators

Change in external load on bolt given external load and stiffness of boad
Go Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts))
Tensile Stress Area of Threaded fastener
Go Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2)
Shear Stress at Core Diameter of Threaded Fastener given Tensile Force
Go Shear stress in bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of nut)
Tensile Force acting on Bolt given Shear Stress
Go Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
Tensile Force acting on Bolt
Go Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter
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
Go Tensile Force on Bolt = Tensile stress in bolt*pi*(Core Diameter of Threaded Bolt^2)/4
Change in Load on Bolt given Resultant Load and Initial Preload in Bolt
Go Change in External Load = Resultant load on bolt-Initial preload in bolt due to tightening of nut
Initial Preload in Bolt due to Tightening
Go Initial preload in bolt due to tightening of nut = Resultant load on bolt-Change in External Load
Resultant Load on Bolt
Go Resultant load on bolt = Initial preload in bolt due to tightening of nut+Change in External Load
Shear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength
Go Shear stress in bolt = Tensile yield strength of bolt/(2*Factor of Safety for Bolt)
Tensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength
Go Tensile stress in bolt = Tensile yield strength of bolt/Factor of Safety for Bolt
Tensile Yield Strength of Bolt
Go Tensile yield strength of bolt = Factor of Safety for Bolt*Tensile stress in bolt
Shear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener
Go Shear stress in bolt = Shear yield strength of bolt/Factor of Safety for Bolt
Primary Shear Force on each Bolt
Go Primary shear load on bolt = External Force on Bolt/Number of Bolts in Joint
External Force on Bolt
Go External Force on Bolt = Number of Bolts in Joint*Primary shear load on bolt
Ultimate Tensile Strength of Bolt
Go Ultimate tensile strength of bolt = 2*Endurance limit of rotating beam bolt specimen

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

Shear stress in bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of nut)
𝜏 = P/(pi*dc'*hnut)

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 (dc') & Height of nut (hnut) 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*dc'*hnut) 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 (dc') & Height of nut (hnut). 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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