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Core diameter of Bolt given Tensile Stress Formula

GoCore Diameter of Bolt 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' = \sqrt{4 \cdot \frac{P}{π \cdot σ t}}

d_c' - Core Diameter of Threaded Bolt?P - Tensile Force on Bolt?σ_t - Tensile Stress in Bolt?π - Archimedes' constant?

Core diameter of Bolt given Tensile Stress Example

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Here is how the Core diameter of Bolt given Tensile Stress equation looks like with Values.

Here is how the Core diameter of Bolt given Tensile Stress equation looks like with Units.

Here is how the Core diameter of Bolt given Tensile Stress equation looks like.

15.736 = \sqrt{4 \cdot \frac{28200}{3.1416 \cdot 145}}

15.736mm = \sqrt{4 \cdot \frac{28200N}{3.1416 \cdot 145N/mm²}}

15.736 = \sqrt{4 \cdot \frac{28200}{3.1416 \cdot 145}}

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Core diameter of Bolt given Tensile Stress Solution

Follow our step by step solution on how to calculate Core diameter of Bolt given Tensile Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c' = \sqrt{4 \cdot \frac{28200N}{π \cdot 145N/mm²}}

Next Step Substitute values of Constants

∴

d c' = \sqrt{4 \cdot \frac{28200N}{3.1416 \cdot 145N/mm²}}

Next Step Convert Units

∴

d c' = \sqrt{4 \cdot \frac{28200N}{3.1416 \cdot 1.5E+8Pa}}

Next Step Prepare to Evaluate

∴

d c' = \sqrt{4 \cdot \frac{28200}{3.1416 \cdot 1.5E+8}}

Next Step Evaluate

∴

d c' = 0.0157360458516441m

Next Step Convert to Output's Unit

∴

d c' = 15.7360458516441mm

LAST Step Rounding Answer

∴

d c' = 15.736mm

Core diameter of Bolt given Tensile Stress Formula Elements

Variables

Constants

Functions

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

Tensile Stress in Bolt

Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

Symbol: σ_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress in 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 Core Diameter of Threaded Bolt

Go Core Diameter of Bolt

d c' = \frac{P}{π \cdot 𝜏 \cdot h n}

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 given Tensile Stress?

Core diameter of Bolt given Tensile Stress evaluator uses Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt)) to evaluate the Core Diameter of Threaded Bolt, Core diameter of Bolt given Tensile Stress 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 given Tensile Stress using this online evaluator? To use this online evaluator for Core diameter of Bolt given Tensile Stress, enter Tensile Force on Bolt (P) & Tensile Stress in Bolt (σ_t) and hit the calculate button.

FAQs on Core diameter of Bolt given Tensile Stress

What is the formula to find Core diameter of Bolt given Tensile Stress?

The formula of Core diameter of Bolt given Tensile Stress is expressed as Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt)). Here is an example- 15736.05 = sqrt(4*28200/(pi*145000000)).

How to calculate Core diameter of Bolt given Tensile Stress?

With Tensile Force on Bolt (P) & Tensile Stress in Bolt (σ_t) we can find Core diameter of Bolt given Tensile Stress using the formula - Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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=Tensile Force on Bolt/(pi*Shear Stress in Bolt*Height of Nut)
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 given Tensile Stress be negative?

No, the Core diameter of Bolt given Tensile Stress, measured in Length cannot be negative.

Which unit is used to measure Core diameter of Bolt given Tensile Stress?

Core diameter of Bolt given Tensile Stress 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 Stress can be measured.

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Core diameter of Bolt given Tensile Stress Formula

​GoCore Diameter of Bolt Formula

​GoCore Diameter of Bolt given Pitch Formula

Core diameter of Bolt given Tensile Stress Example

Core diameter of Bolt given Tensile Stress Solution

Core diameter of Bolt given Tensile Stress Formula Elements

Other Formulas to find Core Diameter of Threaded Bolt

Other formulas in Fastner Geometry category

How to Evaluate Core diameter of Bolt given Tensile Stress?

FAQs on Core diameter of Bolt given Tensile Stress

Variable Name

GoCore Diameter of Bolt Formula

GoCore Diameter of Bolt given Pitch Formula