Height of nut Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt)
hn = P/(pi*𝜏*dc')
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Height of Nut - (Measured in Meter) - Height of Nut is the length of the nut measured along its central axis.
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.
STEP 1: Convert Input(s) to Base Unit
Tensile Force on Bolt: 28200 Newton --> 28200 Newton No Conversion Required
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hn = P/(pi*𝜏*dc') --> 28200/(pi*120000000*0.0085)
Evaluating ... ...
hn = 0.00880033214743421
STEP 3: Convert Result to Output's Unit
0.00880033214743421 Meter -->8.80033214743421 Millimeter (Check conversion ​here)
FINAL ANSWER
8.80033214743421 8.800332 Millimeter <-- Height of Nut
(Calculation completed in 00.004 seconds)

Credits

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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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Height of nut Formula

​LaTeX ​Go
Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt)
hn = P/(pi*𝜏*dc')

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 Height of nut?

Height of nut calculator uses Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt) to calculate the Height of Nut, Height of nut formula is defined as the length of the nut measured along the bolts central axis. Height of Nut is denoted by hn symbol.

How to calculate Height of nut using this online calculator? To use this online calculator for Height of nut, enter Tensile Force on Bolt (P), Shear Stress in Bolt (𝜏) & Core Diameter of Threaded Bolt (dc') and hit the calculate button. Here is how the Height of nut calculation can be explained with given input values -> 8800.332 = 28200/(pi*120000000*0.0085).

FAQ

What is Height of nut?
Height of nut formula is defined as the length of the nut measured along the bolts central axis and is represented as hn = P/(pi*𝜏*dc') or Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt). 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 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.
How to calculate Height of nut?
Height of nut formula is defined as the length of the nut measured along the bolts central axis is calculated using Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt). To calculate Height of nut, you need Tensile Force on Bolt (P), Shear Stress in Bolt (𝜏) & Core Diameter of Threaded Bolt (dc'). With our tool, you need to enter the respective value for Tensile Force on Bolt, Shear Stress in Bolt & Core Diameter of Threaded Bolt 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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