Tensile Force acting on Bolt given Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
P = (pi*𝜏*dc'*hnut)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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
Shear stress in bolt: 120 Newton per Square Millimeter --> 120000000 Pascal (Check conversion here)
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
P = (pi*𝜏*dc'*hnut) --> (pi*120000000*0.0085*0.0088)
Evaluating ... ...
P = 28198.935658622
STEP 3: Convert Result to Output's Unit
28198.935658622 Newton --> No Conversion Required
FINAL ANSWER
28198.935658622 28198.94 Newton <-- Tensile Force on Bolt
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Rajat Vishwakarma
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

Tensile Force acting on Bolt given Shear Stress Formula

Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
P = (pi*𝜏*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 Tensile Force acting on Bolt given Shear Stress?

Tensile Force acting on Bolt given Shear Stress calculator uses Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut) to calculate the Tensile Force on Bolt, Tensile Force acting on Bolt given Shear Stress formula refers to a force that attempts to pull apart or stretch a bolt. Tensile Force on Bolt is denoted by P symbol.

How to calculate Tensile Force acting on Bolt given Shear Stress using this online calculator? To use this online calculator for Tensile Force acting on Bolt given Shear Stress, enter Shear stress in bolt (𝜏), Core Diameter of Threaded Bolt (dc') & Height of nut (hnut) and hit the calculate button. Here is how the Tensile Force acting on Bolt given Shear Stress calculation can be explained with given input values -> 28198.94 = (pi*120000000*0.0085*0.0088).

FAQ

What is Tensile Force acting on Bolt given Shear Stress?
Tensile Force acting on Bolt given Shear Stress formula refers to a force that attempts to pull apart or stretch a bolt and is represented as P = (pi*𝜏*dc'*hnut) or Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut). 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, 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 Tensile Force acting on Bolt given Shear Stress?
Tensile Force acting on Bolt given Shear Stress formula refers to a force that attempts to pull apart or stretch a bolt is calculated using Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut). To calculate Tensile Force acting on Bolt given Shear Stress, you need Shear stress in bolt (𝜏), Core Diameter of Threaded Bolt (dc') & Height of nut (hnut). With our tool, you need to enter the respective value for Shear stress in 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 Tensile Force on Bolt?
In this formula, Tensile Force on Bolt uses Shear stress in 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 -
  • Tensile Force on Bolt = Tensile stress in bolt*pi*(Core Diameter of Threaded Bolt^2)/4
  • Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
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