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

GoCore Diameter of Bolt given Maximum Tensile Stress in Bolt Formula

GoCore Diameter of Bolt given Shear Area of Nut Formula

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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. Check FAQs

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

d_c - Core Diameter of Bolt?P_tb - Tensile Force in Bolt?S_yt - Tensile Yield Strength of Bolt?f_s - Factor of Safety of Bolted Joint?π - Archimedes' constant?

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

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Here is how the Core Diameter of Bolt given Tensile Force on Bolt in Tension equation looks like with Values.

Here is how the Core Diameter of Bolt given Tensile Force on Bolt in Tension equation looks like with Units.

Here is how the Core Diameter of Bolt given Tensile Force on Bolt in Tension equation looks like.

11.9885 = \sqrt{\frac{9990}{\frac{3.1416}{4} \cdot \frac{265.5}{3}}}

11.9885mm = \sqrt{\frac{9990N}{\frac{3.1416}{4} \cdot \frac{265.5N/mm²}{3}}}

11.9885 = \sqrt{\frac{9990}{\frac{3.1416}{4} \cdot \frac{265.5}{3}}}

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Design of Machine Elements » fx Core Diameter of Bolt given Tensile Force on Bolt in Tension

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

Follow our step by step solution on how to calculate Core Diameter of Bolt given Tensile Force on Bolt in Tension?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = \sqrt{\frac{9990N}{\frac{π}{4} \cdot \frac{265.5N/mm²}{3}}}

Next Step Substitute values of Constants

∴

d c = \sqrt{\frac{9990N}{\frac{3.1416}{4} \cdot \frac{265.5N/mm²}{3}}}

Next Step Convert Units

∴

d c = \sqrt{\frac{9990N}{\frac{3.1416}{4} \cdot \frac{2.7E+8Pa}{3}}}

Next Step Prepare to Evaluate

∴

d c = \sqrt{\frac{9990}{\frac{3.1416}{4} \cdot \frac{2.7E+8}{3}}}

Next Step Evaluate

∴

d c = 0.0119885364509688m

Next Step Convert to Output's Unit

∴

d c = 11.9885364509688mm

LAST Step Rounding Answer

∴

d c = 11.9885mm

Core Diameter of Bolt given Tensile Force on Bolt in Tension Formula Elements

Variables

Constants

Functions

Core Diameter of Bolt

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.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core Diameter of Bolt

Tensile Force in 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.

Symbol: P_tb

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force in Bolt

Tensile Yield Strength of Bolt

Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.

Symbol: S_yt

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Yield Strength of Bolt

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.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety of Bolted Joint

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 Core Diameter of Bolt

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 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}

Other formulas in Bolt Dimensions category

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 Stiffness of Bolt

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

Go Nominal Diameter of Bolt given Wrench Torque

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

How to Evaluate Core Diameter of Bolt given Tensile Force on Bolt in Tension?

Core Diameter of Bolt given Tensile Force on Bolt in Tension evaluator uses Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint)) to evaluate the Core Diameter of Bolt, Core Diameter of Bolt given Tensile Force on Bolt in Tension formula is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw and also the term “inside diameter” as applied to the thread of a nut. Core Diameter of Bolt is denoted by d_c symbol.

How to evaluate Core Diameter of Bolt given Tensile Force on Bolt in Tension using this online evaluator? To use this online evaluator for Core Diameter of Bolt given Tensile Force on Bolt in Tension, enter Tensile Force in Bolt (P_tb), Tensile Yield Strength of Bolt (S_yt) & Factor of Safety of Bolted Joint (f_s) and hit the calculate button.

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

What is the formula to find Core Diameter of Bolt given Tensile Force on Bolt in Tension?

The formula of Core Diameter of Bolt given Tensile Force on Bolt in Tension is expressed as Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint)). Here is an example- 11988.54 = sqrt(9990/(pi/4*265500000/3)).

How to calculate Core Diameter of Bolt given Tensile Force on Bolt in Tension?

With Tensile Force in Bolt (P_tb), Tensile Yield Strength of Bolt (S_yt) & Factor of Safety of Bolted Joint (f_s) we can find Core Diameter of Bolt given Tensile Force on Bolt in Tension using the formula - Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Core Diameter of Bolt?

Here are the different ways to Calculate Core Diameter of Bolt-

Core Diameter of Bolt=sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt))
Core Diameter of Bolt=Shear Area of Nut/(pi*Height of Nut)
Core Diameter of Bolt=Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut)

Can the Core Diameter of Bolt given Tensile Force on Bolt in Tension be negative?

No, the Core Diameter of Bolt given Tensile Force on Bolt in Tension, measured in Length cannot be negative.

Which unit is used to measure Core Diameter of Bolt given Tensile Force on Bolt in Tension?

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

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

​GoCore Diameter of Bolt given Maximum Tensile Stress in Bolt Formula

​GoCore Diameter of Bolt given Shear Area of Nut Formula

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

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

Core Diameter of Bolt given Tensile Force on Bolt in Tension Formula Elements

Other Formulas to find Core Diameter of Bolt

Other formulas in Bolt Dimensions category

How to Evaluate Core Diameter of Bolt given Tensile Force on Bolt in Tension?

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

Variable Name

GoCore Diameter of Bolt given Maximum Tensile Stress in Bolt Formula

GoCore Diameter of Bolt given Shear Area of Nut Formula