Height of Nut given Strength of Bolt in Shear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt)
h = Ptb*fs/(pi*dc*Ssy)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Height of Nut - (Measured in Meter) - Height of Nut is defined as the height of the nut that is used in fitting to the bolt.
Tensile Force in Bolt - (Measured in Newton) - Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.
Factor of Safety of Bolted Joint - Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.
Core Diameter of Bolt - (Measured in Meter) - Core Diameter of 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.
Shear Yield Strength of Bolt - (Measured in Pascal) - Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear.
STEP 1: Convert Input(s) to Base Unit
Tensile Force in Bolt: 9990 Newton --> 9990 Newton No Conversion Required
Factor of Safety of Bolted Joint: 3 --> No Conversion Required
Core Diameter of Bolt: 12 Millimeter --> 0.012 Meter (Check conversion here)
Shear Yield Strength of Bolt: 132.6 Newton per Square Millimeter --> 132600000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = Ptb*fs/(pi*dc*Ssy) --> 9990*3/(pi*0.012*132600000)
Evaluating ... ...
h = 0.00599531629520375
STEP 3: Convert Result to Output's Unit
0.00599531629520375 Meter -->5.99531629520375 Millimeter (Check conversion here)
FINAL ANSWER
5.99531629520375 5.995316 Millimeter <-- Height of Nut
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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National Institute Of Technology (NIT), Hamirpur
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5 Nut Dimensions Calculators

Height of Nut given Strength of Bolt in Shear
Go Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt)
Diameter of Hole Inside Bolt
Go Diameter of Hole inside Bolt = sqrt(Nominal Bolt Diameter^2-Core Diameter of Bolt^2)
Height of Nut given Shear Area of Nut
Go Height of Nut = Shear Area of Nut/(pi*Core Diameter of Bolt)
Shear Area of Nut
Go Shear Area of Nut = pi*Core Diameter of Bolt*Height of Nut
Height of Standard Nut
Go Height of Nut = 0.8*Nominal Bolt Diameter

Height of Nut given Strength of Bolt in Shear Formula

Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt)
h = Ptb*fs/(pi*dc*Ssy)

Define Shear Fore

A force acting in a direction parallel to a surface or to a planar cross section of a body, as for example the pressure of air along the front of an airplane wing. Shear forces often result in shear strain. Resistance to such forces in a fluid is linked to its viscosity. Also called shearing force

How to Calculate Height of Nut given Strength of Bolt in Shear?

Height of Nut given Strength of Bolt in Shear calculator uses Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt) to calculate the Height of Nut, The Height of Nut given Strength of Bolt in Shear formula is defined as the length of the nut measured parallel to the bolt's central axis. Height of Nut is denoted by h symbol.

How to calculate Height of Nut given Strength of Bolt in Shear using this online calculator? To use this online calculator for Height of Nut given Strength of Bolt in Shear, enter Tensile Force in Bolt (Ptb), Factor of Safety of Bolted Joint (fs), Core Diameter of Bolt (dc) & Shear Yield Strength of Bolt (Ssy) and hit the calculate button. Here is how the Height of Nut given Strength of Bolt in Shear calculation can be explained with given input values -> 5995.316 = 9990*3/(pi*0.012*132600000).

FAQ

What is Height of Nut given Strength of Bolt in Shear?
The Height of Nut given Strength of Bolt in Shear formula is defined as the length of the nut measured parallel to the bolt's central axis and is represented as h = Ptb*fs/(pi*dc*Ssy) or Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt). Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen, Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load, Core Diameter of 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 & Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear.
How to calculate Height of Nut given Strength of Bolt in Shear?
The Height of Nut given Strength of Bolt in Shear formula is defined as the length of the nut measured parallel to the bolt's central axis is calculated using Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt). To calculate Height of Nut given Strength of Bolt in Shear, you need Tensile Force in Bolt (Ptb), Factor of Safety of Bolted Joint (fs), Core Diameter of Bolt (dc) & Shear Yield Strength of Bolt (Ssy). With our tool, you need to enter the respective value for Tensile Force in Bolt, Factor of Safety of Bolted Joint, Core Diameter of Bolt & Shear Yield Strength of Bolt 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 Height of Nut?
In this formula, Height of Nut uses Tensile Force in Bolt, Factor of Safety of Bolted Joint, Core Diameter of Bolt & Shear Yield Strength of Bolt. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Height of Nut = Shear Area of Nut/(pi*Core Diameter of Bolt)
  • Height of Nut = 0.8*Nominal Bolt Diameter
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