Height of Nut given Strength of Bolt in Shear Calculator

✖Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.ⓘ Tensile Force in Bolt [P_tb]			+10% -10%
✖Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.ⓘ Factor of Safety of Bolted Joint [f_s]			+10% -10%
✖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.ⓘ Core Diameter of Bolt [d_c]			+10% -10%
✖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.ⓘ Shear Yield Strength of Bolt [S_sy]			+10% -10%

✖Height of Nut is defined as the height of the nut that is used in fitting to the bolt.ⓘ Height of Nut given Strength of Bolt in Shear [h]

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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 = P_tb*f_s/(pi*d_c*S_sy)
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 = P_tb*f_s/(pi*d_c*S_sy) --> 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 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Threaded Bolted Joints » Mechanical » Nut Dimensions » Height of Nut given Strength of Bolt in Shear

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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National Institute Of Technology (NIT), Hamirpur

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< Nut Dimensions Calculators

Height of Nut given Strength of Bolt in Shear

LaTeX 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

LaTeX Go Diameter of Hole Inside Bolt = sqrt(Nominal Bolt Diameter^2-Core Diameter of Bolt^2)

Height of Nut given Shear Area of Nut

LaTeX Go Height of Nut = Shear Area of Nut/(pi*Core Diameter of Bolt)

Shear Area of Nut

LaTeX Go Shear Area of Nut = pi*Core Diameter of Bolt*Height of Nut

Height of Nut given Strength of Bolt in Shear Formula

LaTeX Go

Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt)
h = P_tb*f_s/(pi*d_c*S_sy)

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 (P_tb), Factor of Safety of Bolted Joint (f_s), Core Diameter of Bolt (d_c) & Shear Yield Strength of Bolt (S_sy) 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 = P_tb*f_s/(pi*d_c*S_sy) 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 (P_tb), Factor of Safety of Bolted Joint (f_s), Core Diameter of Bolt (d_c) & Shear Yield Strength of Bolt (S_sy). 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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