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Nominal Diameter of Bolt given Stiffness of Bolt Formula

GoNominal Diameter of Bolt given Diameter of Hole inside Bolt Formula

GoNominal Diameter of Bolt given Height of Standard Nut Formula

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Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt. Check FAQs

d = \sqrt{\frac{k b' \cdot l \cdot 4}{E \cdot π}}

d - Nominal Bolt Diameter?k_b' - Stiffness of Bolt?l - Total Thickness of Parts Held Together by Bolt?E - Modulus of Elasticity of Bolt?π - Archimedes' constant?

Nominal Diameter of Bolt given Stiffness of Bolt Example

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Here is how the Nominal Diameter of Bolt given Stiffness of Bolt equation looks like with Values.

Here is how the Nominal Diameter of Bolt given Stiffness of Bolt equation looks like with Units.

Here is how the Nominal Diameter of Bolt given Stiffness of Bolt equation looks like.

14.9744 = \sqrt{\frac{317000 \cdot 115 \cdot 4}{207000 \cdot 3.1416}}

14.9744mm = \sqrt{\frac{317000N/mm \cdot 115mm \cdot 4}{207000N/mm² \cdot 3.1416}}

14.9744 = \sqrt{\frac{317000 \cdot 115 \cdot 4}{207000 \cdot 3.1416}}

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Nominal Diameter of Bolt given Stiffness of Bolt Solution

Follow our step by step solution on how to calculate Nominal Diameter of Bolt given Stiffness of Bolt?

FIRST Step Consider the formula

d = \sqrt{\frac{k b' \cdot l \cdot 4}{E \cdot π}}

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{317000N/mm \cdot 115mm \cdot 4}{207000N/mm² \cdot π}}

Next Step Substitute values of Constants

∴

d = \sqrt{\frac{317000N/mm \cdot 115mm \cdot 4}{207000N/mm² \cdot 3.1416}}

Next Step Convert Units

∴

d = \sqrt{\frac{3.2E+8N/m \cdot 0.115m \cdot 4}{2.1E+11Pa \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{3.2E+8 \cdot 0.115 \cdot 4}{2.1E+11 \cdot 3.1416}}

Next Step Evaluate

∴

d = 0.0149743657940467m

Next Step Convert to Output's Unit

∴

d = 14.9743657940467mm

LAST Step Rounding Answer

∴

d = 14.9744mm

Nominal Diameter of Bolt given Stiffness of Bolt Formula Elements

Variables

Constants

Functions

Nominal Bolt Diameter

Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal Bolt Diameter

Stiffness of Bolt

The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.

Symbol: k_b'

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Bolt

Total Thickness of Parts Held Together by Bolt

The Total Thickness of Parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Thickness of Parts Held Together by Bolt

Modulus of Elasticity of 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.

Symbol: E

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Bolt

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Nominal Bolt Diameter

Go Nominal Diameter of Bolt given Diameter of Hole inside Bolt

d = \sqrt{{d 1}^{2} + {d c}^{2}}

Go Nominal Diameter of Bolt given Height of Standard Nut

d = \frac{h}{0.8}

Go Nominal Diameter of Bolt given Wrench Torque

d = \frac{M t}{0.2 \cdot P i}

Other formulas in Bolt Dimensions category

Go Core Diameter of Bolt given Maximum Tensile Stress in Bolt

d c = \sqrt{\frac{P tb}{(\frac{π}{4}) \cdot σt max}}

Go Core Diameter of Bolt given Tensile Force on Bolt in Tension

d c = \sqrt{\frac{P tb}{\frac{π}{4} \cdot \frac{S yt}{f s}}}

Go Core Diameter of Bolt given Shear Area of Nut

d c = \frac{A}{π \cdot h}

Go Core Diameter of Bolt given Tensile Force on Bolt in Shear

d c = P tb \cdot \frac{f s}{π \cdot S sy \cdot h}

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

Nominal Diameter of Bolt given Stiffness of Bolt evaluator uses Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts Held Together by Bolt*4)/(Modulus of Elasticity of Bolt*pi)) to evaluate 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 evaluate Nominal Diameter of Bolt given Stiffness of Bolt using this online evaluator? To use this online evaluator 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.

FAQs on Nominal Diameter of Bolt given Stiffness of Bolt

What is the formula to find Nominal Diameter of Bolt given Stiffness of Bolt?

The formula of Nominal Diameter of Bolt given Stiffness of Bolt is expressed as Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts Held Together by Bolt*4)/(Modulus of Elasticity of Bolt*pi)). Here is an example- 14974.37 = sqrt((317000000*0.115*4)/(207000000000*pi)).

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

With Stiffness of Bolt (k_b'), Total Thickness of Parts Held Together by Bolt (l) & Modulus of Elasticity of Bolt (E) we can find Nominal Diameter of Bolt given Stiffness of Bolt using the formula - Nominal Bolt Diameter = sqrt((Stiffness of Bolt*Total Thickness of Parts Held Together by Bolt*4)/(Modulus of Elasticity of Bolt*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Nominal Bolt Diameter?

Here are the different ways to Calculate Nominal Bolt Diameter-

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)

Can the Nominal Diameter of Bolt given Stiffness of Bolt be negative?

No, the Nominal Diameter of Bolt given Stiffness of Bolt, measured in Length cannot be negative.

Which unit is used to measure Nominal Diameter of Bolt given Stiffness of Bolt?

Nominal Diameter of Bolt given Stiffness of Bolt is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Nominal Diameter of Bolt given Stiffness of Bolt can be measured.

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Nominal Diameter of Bolt given Stiffness of Bolt Formula

​GoNominal Diameter of Bolt given Diameter of Hole inside Bolt Formula

​GoNominal Diameter of Bolt given Height of Standard Nut Formula

Nominal Diameter of Bolt given Stiffness of Bolt Example

Nominal Diameter of Bolt given Stiffness of Bolt Solution

Nominal Diameter of Bolt given Stiffness of Bolt Formula Elements

Other Formulas to find Nominal Bolt Diameter

Other formulas in Bolt Dimensions category

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

FAQs on Nominal Diameter of Bolt given Stiffness of Bolt

Variable Name

GoNominal Diameter of Bolt given Diameter of Hole inside Bolt Formula

GoNominal Diameter of Bolt given Height of Standard Nut Formula