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Core Diameter of Bolt Formula

GoCore diameter of Bolt given Tensile Stress Formula

GoCore Diameter of Bolt given Pitch Formula

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Core Diameter of Threaded 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' = \frac{P}{π \cdot 𝜏 \cdot h n}

d_c' - Core Diameter of Threaded Bolt?P - Tensile Force on Bolt?𝜏 - Shear Stress in Bolt?h_n - Height of Nut?π - Archimedes' constant?

Core Diameter of Bolt Example

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Here is how the Core Diameter of Bolt equation looks like with Values.

Here is how the Core Diameter of Bolt equation looks like with Units.

Here is how the Core Diameter of Bolt equation looks like.

8.5003 = \frac{28200}{3.1416 \cdot 120 \cdot 8.8}

8.5003mm = \frac{28200N}{3.1416 \cdot 120N/mm² \cdot 8.8mm}

8.5003 = \frac{28200}{3.1416 \cdot 120 \cdot 8.8}

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Core Diameter of Bolt Solution

Follow our step by step solution on how to calculate Core Diameter of Bolt?

FIRST Step Consider the formula

d c' = \frac{P}{π \cdot 𝜏 \cdot h n}

Next Step Substitute values of Variables

∴

d c' = \frac{28200N}{π \cdot 120N/mm² \cdot 8.8mm}

Next Step Substitute values of Constants

∴

d c' = \frac{28200N}{3.1416 \cdot 120N/mm² \cdot 8.8mm}

Next Step Convert Units

∴

d c' = \frac{28200N}{3.1416 \cdot 1.2E+8Pa \cdot 0.0088m}

Next Step Prepare to Evaluate

∴

d c' = \frac{28200}{3.1416 \cdot 1.2E+8 \cdot 0.0088}

Next Step Evaluate

∴

d c' = 0.00850032082422623m

Next Step Convert to Output's Unit

∴

d c' = 8.50032082422623mm

LAST Step Rounding Answer

∴

d c' = 8.5003mm

Core Diameter of Bolt Formula Elements

Variables

Constants

Core Diameter of Threaded Bolt

Core Diameter of Threaded 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 Threaded Bolt

Tensile Force on Bolt

The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force on Bolt

Shear Stress in Bolt

Shear Stress in Bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Bolt

Height of Nut

Height of Nut is the length of the nut measured along its central axis.

Symbol: h_n

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 Threaded Bolt

Go Core diameter of Bolt given Tensile Stress

d c' = \sqrt{4 \cdot \frac{P}{π \cdot σ t}}

Go Core Diameter of Bolt given Pitch

d c' = d b - (1.22687 \cdot p b)

Go Core Diameter of Bolt given Nominal Diameter

d c' = 0.8 \cdot d b

Other formulas in Fastner Geometry category

Go Pitch Diameter of Internal Thread given Pitch

D p = D - (0.650 \cdot p)

Go Pitch of Threads given Pitch Diameter of Internal Thread

p = \frac{D - D p}{0.650}

Go Minor Diameter of Internal Thread given Pitch and Pitch Diameter of Internal Thread

D = D p + (0.650 \cdot p)

Go Pitch Diameter of Internal Thread given Height of Fundamental Triangle

D p = D - (0.75 \cdot H)

How to Evaluate Core Diameter of Bolt?

Core Diameter of Bolt evaluator uses Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Height of Nut) to evaluate the Core Diameter of Threaded Bolt, Core Diameter of Bolt formula is defined as the smallest diameter of the thread of the bolt, 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 Threaded Bolt is denoted by d_c' symbol.

How to evaluate Core Diameter of Bolt using this online evaluator? To use this online evaluator for Core Diameter of Bolt, enter Tensile Force on Bolt (P), Shear Stress in Bolt (𝜏) & Height of Nut (h_n) and hit the calculate button.

FAQs on Core Diameter of Bolt

What is the formula to find Core Diameter of Bolt?

The formula of Core Diameter of Bolt is expressed as Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Height of Nut). Here is an example- 8500.321 = 28200/(pi*120000000*0.0088).

How to calculate Core Diameter of Bolt?

With Tensile Force on Bolt (P), Shear Stress in Bolt (𝜏) & Height of Nut (h_n) we can find Core Diameter of Bolt using the formula - Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Height of Nut). This formula also uses Archimedes' constant .

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

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

Core Diameter of Threaded Bolt=sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt))
Core Diameter of Threaded Bolt=Nominal Diameter of Threaded Bolt-(1.22687*Pitch of Bolt Threads)
Core Diameter of Threaded Bolt=0.8*Nominal Diameter of Threaded Bolt

Can the Core Diameter of Bolt be negative?

No, the Core Diameter of Bolt, measured in Length cannot be negative.

Which unit is used to measure Core Diameter of Bolt?

Core Diameter of Bolt 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 can be measured.

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Core Diameter of Bolt Formula

​GoCore diameter of Bolt given Tensile Stress Formula

​GoCore Diameter of Bolt given Pitch Formula

Core Diameter of Bolt Example

Core Diameter of Bolt Solution

Core Diameter of Bolt Formula Elements

Other Formulas to find Core Diameter of Threaded Bolt

Other formulas in Fastner Geometry category

How to Evaluate Core Diameter of Bolt?

FAQs on Core Diameter of Bolt

Variable Name

GoCore diameter of Bolt given Tensile Stress Formula

GoCore Diameter of Bolt given Pitch Formula