Nominal Diameter of Bolt given Stiffness of Bolt Calculator

✖The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.ⓘ Stiffness of Bolt [k_b']			+10% -10%
✖The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.ⓘ Total Thickness of Parts held together by Bolt [l]			+10% -10%
✖Modulus of Elasticity of Bolt is a quantity that measures the bolt's or substance's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity of Bolt [E]			+10% -10%

✖Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.ⓘ Nominal Diameter of Bolt given Stiffness of Bolt [d]

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Formula

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Nominal Diameter of Bolt given Stiffness of Bolt

Formula

`"d" = sqrt((("k"_{"b"}"'")*"l"*4)/("E"*pi))`

Example

`"14.97437mm"=sqrt(("3.17E^5N/mm"*"115mm"*4)/("207000N/mm²"*pi))`

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Nominal Diameter of Bolt given Stiffness of Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Modulus of Elasticity of Bolt*pi))
d = sqrt((k_b'*l*4)/(E*pi))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Nominal Bolt Diameter - (Measured in Meter) - Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.
Stiffness of Bolt - (Measured in Newton per Meter) - The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.
Total Thickness of Parts held together by Bolt - (Measured in Meter) - The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.
Modulus of Elasticity of Bolt - (Measured in Pascal) - Modulus of Elasticity of Bolt is a quantity that measures the bolt's or substance's resistance to being deformed elastically when stress is applied to it.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Bolt: 317000 Newton per Millimeter --> 317000000 Newton per Meter (Check conversion here)
Total Thickness of Parts held together by Bolt: 115 Millimeter --> 0.115 Meter (Check conversion here)
Modulus of Elasticity of Bolt: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((k_b'*l*4)/(E*pi)) --> sqrt((317000000*0.115*4)/(207000000000*pi))

Evaluating ... ...

d = 0.0149743657940467

STEP 3: Convert Result to Output's Unit

0.0149743657940467 Meter -->14.9743657940467 Millimeter (Check conversion here)

FINAL ANSWER

14.9743657940467 ≈ 14.97437 Millimeter <-- Nominal Bolt Diameter

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Threaded Bolted Joints » Bolt Dimensions » Nominal Diameter of Bolt given Stiffness of Bolt

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< 8 Bolt Dimensions Calculators

Nominal Diameter of Bolt given Stiffness of Bolt

Go Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Modulus of Elasticity of Bolt*pi))

Core Diameter of Bolt given Tensile Force on Bolt in Shear

Go Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut)

Core Diameter of Bolt given Tensile Force on Bolt in Tension

Go Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint))

Core Diameter of Bolt given Maximum Tensile Stress in Bolt

Go Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt))

Nominal Diameter of Bolt given Diameter of Hole inside Bolt

Go Nominal Bolt Diameter = sqrt(Diameter of Hole inside Bolt^2+Core Diameter of Bolt^2)

Core Diameter of Bolt given Shear Area of Nut

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

Nominal Diameter of Bolt given Wrench Torque

Go Nominal Bolt Diameter = Wrench Torque for Bolt Tightening/(0.2*Pre Load in Bolt)

Nominal Diameter of Bolt given Height of Standard Nut

Go Nominal Bolt Diameter = Height of Nut/0.8

Nominal Diameter of Bolt given Stiffness of Bolt Formula

Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Modulus of Elasticity of Bolt*pi))
d = sqrt((k_b'*l*4)/(E*pi))

What is nominal diameter?

Nominal Diameter is defined as the largest diameter of the bolt .It is also called major diameter. The size most commonly associated with screw threads is the nominal diameter. Nominal diameter is a more of a label than a size. For example, a bolt and nut may be described as being ½” diameter. But neither the external threads of the bolt nor the internal threads of the nut are exactly .

How to Calculate Nominal Diameter of Bolt given Stiffness of Bolt?

Nominal Diameter of Bolt given Stiffness of Bolt calculator uses Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Modulus of Elasticity of Bolt*pi)) to calculate the Nominal Bolt Diameter, Nominal Diameter of Bolt given Stiffness of Bolt is defined as the size most commonly associated with screw threads is the nominal diameter. The nominal diameter is more of a label than a size. Nominal Bolt Diameter is denoted by d symbol.

How to calculate Nominal Diameter of Bolt given Stiffness of Bolt using this online calculator? To use this online calculator for Nominal Diameter of Bolt given Stiffness of Bolt, enter Stiffness of Bolt (k_b'), Total Thickness of Parts held together by Bolt (l) & Modulus of Elasticity of Bolt (E) and hit the calculate button. Here is how the Nominal Diameter of Bolt given Stiffness of Bolt calculation can be explained with given input values -> 14974.37 = sqrt((317000000*0.115*4)/(207000000000*pi)).

FAQ

What is Nominal Diameter of Bolt given Stiffness of Bolt?

Nominal Diameter of Bolt given Stiffness of Bolt is defined as the size most commonly associated with screw threads is the nominal diameter. The nominal diameter is more of a label than a size and is represented as d = sqrt((k_b'*l*4)/(E*pi)) or Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Modulus of Elasticity of Bolt*pi)). The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force, The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt & Modulus of Elasticity of Bolt is a quantity that measures the bolt's or substance's resistance to being deformed elastically when stress is applied to it.

How to calculate Nominal Diameter of Bolt given Stiffness of Bolt?

Nominal Diameter of Bolt given Stiffness of Bolt is defined as the size most commonly associated with screw threads is the nominal diameter. The nominal diameter is more of a label than a size is calculated using Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Modulus of Elasticity of Bolt*pi)). To calculate Nominal Diameter of Bolt given Stiffness of Bolt, you need Stiffness of Bolt (k_b'), Total Thickness of Parts held together by Bolt (l) & Modulus of Elasticity of Bolt (E). With our tool, you need to enter the respective value for Stiffness of Bolt, Total Thickness of Parts held together by Bolt & Modulus of Elasticity 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 Nominal Bolt Diameter?

In this formula, Nominal Bolt Diameter uses Stiffness of Bolt, Total Thickness of Parts held together by Bolt & Modulus of Elasticity of Bolt. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nominal Bolt Diameter = sqrt(Diameter of Hole inside Bolt^2+Core Diameter of Bolt^2)
Nominal Bolt Diameter = Height of Nut/0.8
Nominal Bolt Diameter = Wrench Torque for Bolt Tightening/(0.2*Pre Load in Bolt)

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