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)
hnut = 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
hnut = P/(pi*𝜏*dc') --> 28200/(pi*120000000*0.0085)
Evaluating ... ...
hnut = 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

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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25 Fastner Geometry Calculators

Core diameter of Bolt given Tensile Stress
Go Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile stress in bolt))
Height of Fundamental Triangle of Screw Threads given Minor Diameter of External Thread
Go Height of Fundamental Triangle = (12/17)*(Major Diameter of External Thread-Minor Diameter of External Thread)
Major Diameter of External Thread given Minor Diameter of External Thread
Go Major Diameter of External Thread = Minor Diameter of External Thread+((17/12)*Height of Fundamental Triangle)
Minor Diameter of External Thread given Height of Fundamental Triangle
Go Minor Diameter of External Thread = Major Diameter of External Thread-((17/12)*Height of Fundamental Triangle)
Height of Fundamental Triangle of Screw Threads given Pitch Diameter of Internal Thread
Go Height of Fundamental Triangle = (Major Diameter of Internal Thread-Pitch Diameter of Internal Thread)/0.75
Height of Fundamental Triangle of Screw Threads given Pitch Diameter of External Thread
Go Height of Fundamental Triangle = (Major Diameter of External Thread-Pitch Diameter of External Thread)/0.75
Height of Fundamental Triangle of Screw Threads given Minor Diameter of Internal Thread
Go Height of Fundamental Triangle = (Major Diameter of Internal Thread-Minor Diameter of Internal Thread)/1.25
Major Diameter of Internal Thread given Pitch Diameter of Internal Thread
Go Major Diameter of Internal Thread = Pitch Diameter of Internal Thread+(0.75*Height of Fundamental Triangle)
Pitch Diameter of Internal Thread given Height of Fundamental Triangle
Go Pitch Diameter of Internal Thread = Major Diameter of Internal Thread-(0.75*Height of Fundamental Triangle)
Pitch Diameter of External Thread given Height of Fundamental Triangle
Go Pitch Diameter of External Thread = Major Diameter of External Thread-(0.75*Height of Fundamental Triangle)
Major Diameter of External Thread given Height of Fundamental Triangle
Go Major Diameter of External Thread = Pitch Diameter of External Thread+(0.75*Height of Fundamental Triangle)
Minor Diameter of Internal Thread given Height of Fundamental Triangle
Go Minor Diameter of Internal Thread = Major Diameter of Internal Thread-(1.25*Height of Fundamental Triangle)
Major Diameter of Internal Thread given Height of Fundamental triangle
Go Major Diameter of Internal Thread = Minor Diameter of Internal Thread+(1.25*Height of Fundamental Triangle)
Minor Diameter of Internal Thread given Pitch and Pitch Diameter of Internal Thread
Go Major Diameter of Internal Thread = Pitch Diameter of Internal Thread+(0.650*Pitch of threads)
Major Diameter of External Thread given Pitch and Pitch Diameter of External Thread
Go Major Diameter of External Thread = Pitch Diameter of External Thread+(0.650*Pitch of threads)
Minor Diameter of Internal Thread given Pitch and Major Diameter of Internal Thread
Go Minor Diameter of Internal Thread = Major Diameter of Internal Thread-(1.083*Pitch of threads)
Major Diameter of Internal Thread given Pitch and Minor Diameter of Internal Thread
Go Major Diameter of Internal Thread = (1.083*Pitch of threads)+Minor Diameter of Internal Thread
Minor Diameter of External Thread given Pitch and Major Diameter of Internal Thread
Go Minor Diameter of External Thread = Major Diameter of Internal Thread-(1.227*Pitch of threads)
Major Diameter of Internal Thread given Pitch and Minor Diameter of External Thread
Go Major Diameter of Internal Thread = Minor Diameter of External Thread+(1.227*Pitch of threads)
Pitch of Threads given Pitch Diameter of Internal Thread
Go Pitch of threads = (Major Diameter of Internal Thread-Pitch Diameter of Internal Thread)/0.650
Pitch of Threads given Pitch Diameter of External Thread
Go Pitch of threads = (Major Diameter of External Thread-Pitch Diameter of External Thread)/0.650
Pitch of Threads given Minor Diameter of Internal Thread
Go Pitch of threads = (Major Diameter of Internal Thread-Minor Diameter of Internal Thread)/1.083
Pitch of Threads given Major Diameter of Internal Thread
Go Pitch of threads = (Major Diameter of Internal Thread-Minor Diameter of External Thread)/1.227
Pitch Diameter of Internal Thread given Pitch
Go Pitch Diameter of Internal Thread = Major Diameter of Internal Thread-(0.650*Pitch of threads)
Pitch Diameter of External Thread given Pitch
Go Pitch Diameter of External Thread = Major Diameter of External Thread-(0.650*Pitch of threads)

Height of nut Formula

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