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Height of nut Formula

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

h n = \frac{P}{π \cdot 𝜏 \cdot d c'}

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

Height of nut Example

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Here is how the Height of nut equation looks like with Values.

Here is how the Height of nut equation looks like with Units.

Here is how the Height of nut equation looks like.

8.8003 = \frac{28200}{3.1416 \cdot 120 \cdot 8.5}

8.8003mm = \frac{28200N}{3.1416 \cdot 120N/mm² \cdot 8.5mm}

8.8003 = \frac{28200}{3.1416 \cdot 120 \cdot 8.5}

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Height of nut Solution

Follow our step by step solution on how to calculate Height of nut?

FIRST Step Consider the formula

h n = \frac{P}{π \cdot 𝜏 \cdot d c'}

Next Step Substitute values of Variables

∴

h n = \frac{28200N}{π \cdot 120N/mm² \cdot 8.5mm}

Next Step Substitute values of Constants

∴

h n = \frac{28200N}{3.1416 \cdot 120N/mm² \cdot 8.5mm}

Next Step Convert Units

∴

h n = \frac{28200N}{3.1416 \cdot 1.2E+8Pa \cdot 0.0085m}

Next Step Prepare to Evaluate

∴

h n = \frac{28200}{3.1416 \cdot 1.2E+8 \cdot 0.0085}

Next Step Evaluate

∴

h n = 0.00880033214743421m

Next Step Convert to Output's Unit

∴

h n = 8.80033214743421mm

LAST Step Rounding Answer

∴

h n = 8.8003mm

Height of nut Formula Elements

Variables

Constants

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

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

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

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 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 Height of nut?

Height of nut evaluator uses Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt) to evaluate the Height of Nut, Height of nut formula is defined as the length of the nut measured along the bolts central axis. Height of Nut is denoted by h_n symbol.

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

FAQs on Height of nut

What is the formula to find Height of nut?

The formula of Height of nut is expressed as Height of Nut = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt). Here is an example- 8800.332 = 28200/(pi*120000000*0.0085).

How to calculate Height of nut?

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

Can the Height of nut be negative?

No, the Height of nut, measured in Length cannot be negative.

Which unit is used to measure Height of nut?

Height of nut is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Height of nut can be measured.

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Height of nut Formula

Height of nut Example

Height of nut Solution

Height of nut Formula Elements

Other formulas in Fastner Geometry category

How to Evaluate Height of nut?

FAQs on Height of nut

Variable Name