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

GoCore Diameter of Bolt given Maximum Tensile Stress in Bolt Formula

GoCore Diameter of Bolt given Tensile Force on Bolt in Tension 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 = P tb \cdot \frac{f s}{π \cdot S sy \cdot h}

d_c - Core Diameter of Bolt?P_tb - Tensile Force in Bolt?f_s - Factor of Safety of Bolted Joint?S_sy - Shear Yield Strength of Bolt?h - Height of Nut?π - Archimedes' constant?

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

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

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

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

11.9906 = 9990 \cdot \frac{3}{3.1416 \cdot 132.6 \cdot 6}

11.9906mm = 9990N \cdot \frac{3}{3.1416 \cdot 132.6N/mm² \cdot 6mm}

11.9906 = 9990 \cdot \frac{3}{3.1416 \cdot 132.6 \cdot 6}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = 9990N \cdot \frac{3}{π \cdot 132.6N/mm² \cdot 6mm}

Next Step Substitute values of Constants

∴

d c = 9990N \cdot \frac{3}{3.1416 \cdot 132.6N/mm² \cdot 6mm}

Next Step Convert Units

∴

d c = 9990N \cdot \frac{3}{3.1416 \cdot 1.3E+8Pa \cdot 0.006m}

Next Step Prepare to Evaluate

∴

d c = 9990 \cdot \frac{3}{3.1416 \cdot 1.3E+8 \cdot 0.006}

Next Step Evaluate

∴

d c = 0.0119906325904075m

Next Step Convert to Output's Unit

∴

d c = 11.9906325904075mm

LAST Step Rounding Answer

∴

d c = 11.9906mm

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

Variables

Constants

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

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

Shear Yield Strength of Bolt

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.

Symbol: S_sy

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Yield Strength of Bolt

Height of Nut

Height of Nut is defined as the height of the nut that is used in fitting to the bolt.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Nut

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

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 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}

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 Shear?

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

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

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

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

The formula of Core Diameter of Bolt given Tensile Force on Bolt in Shear is expressed as Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut). Here is an example- 11990.63 = 9990*3/(pi*132600000*0.006).

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

With Tensile Force in Bolt (P_tb), Factor of Safety of Bolted Joint (f_s), Shear Yield Strength of Bolt (S_sy) & Height of Nut (h) we can find Core Diameter of Bolt given Tensile Force on Bolt in Shear using the formula - Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut). This formula also uses Archimedes' constant .

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

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

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

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

Core Diameter of Bolt given Tensile Force on Bolt in Shear 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 Shear can be measured.

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

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

​GoCore Diameter of Bolt given Tensile Force on Bolt in Tension Formula

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

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

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

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

Variable Name

GoCore Diameter of Bolt given Maximum Tensile Stress in Bolt Formula

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