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Height of Nut given Strength of Bolt in Shear Formula

GoHeight of Nut given Shear Area of Nut Formula

GoHeight of Standard Nut Formula

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

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

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

Height of Nut given Strength of Bolt in Shear Example

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Here is how the Height of Nut given Strength of Bolt in Shear equation looks like with Values.

Here is how the Height of Nut given Strength of Bolt in Shear equation looks like with Units.

Here is how the Height of Nut given Strength of Bolt in Shear equation looks like.

5.9953 = 9990 \cdot \frac{3}{3.1416 \cdot 12 \cdot 132.6}

5.9953mm = 9990N \cdot \frac{3}{3.1416 \cdot 12mm \cdot 132.6N/mm²}

5.9953 = 9990 \cdot \frac{3}{3.1416 \cdot 12 \cdot 132.6}

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Design of Machine Elements » fx Height of Nut given Strength of Bolt in Shear

Height of Nut given Strength of Bolt in Shear Solution

Follow our step by step solution on how to calculate Height of Nut given Strength of Bolt in Shear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 9990N \cdot \frac{3}{π \cdot 12mm \cdot 132.6N/mm²}

Next Step Substitute values of Constants

∴

h = 9990N \cdot \frac{3}{3.1416 \cdot 12mm \cdot 132.6N/mm²}

Next Step Convert Units

∴

h = 9990N \cdot \frac{3}{3.1416 \cdot 0.012m \cdot 1.3E+8Pa}

Next Step Prepare to Evaluate

∴

h = 9990 \cdot \frac{3}{3.1416 \cdot 0.012 \cdot 1.3E+8}

Next Step Evaluate

∴

h = 0.00599531629520375m

Next Step Convert to Output's Unit

∴

h = 5.99531629520375mm

LAST Step Rounding Answer

∴

h = 5.9953mm

Height of Nut given Strength of Bolt in Shear Formula Elements

Variables

Constants

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

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

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

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

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 Height of Nut

Go Height of Nut given Shear Area of Nut

h = \frac{A}{π \cdot d c}

Go Height of Standard Nut

h = 0.8 \cdot d

Other formulas in Nut Dimensions category

Go Diameter of Hole Inside Bolt

d 1 = \sqrt{d^{2} - {d c}^{2}}

Go Shear Area of Nut

A = π \cdot d c \cdot h

How to Evaluate Height of Nut given Strength of Bolt in Shear?

Height of Nut given Strength of Bolt in Shear evaluator uses Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt) to evaluate the Height of Nut, The Height of Nut given Strength of Bolt in Shear formula is defined as the length of the nut measured parallel to the bolt's central axis. Height of Nut is denoted by h symbol.

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

FAQs on Height of Nut given Strength of Bolt in Shear

What is the formula to find Height of Nut given Strength of Bolt in Shear?

The formula of Height of Nut given Strength of Bolt in Shear is expressed as Height of Nut = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Core Diameter of Bolt*Shear Yield Strength of Bolt). Here is an example- 5995.316 = 9990*3/(pi*0.012*132600000).

How to calculate Height of Nut given Strength of Bolt in Shear?

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

What are the other ways to Calculate Height of Nut?

Here are the different ways to Calculate Height of Nut-

Height of Nut=Shear Area of Nut/(pi*Core Diameter of Bolt)
Height of Nut=0.8*Nominal Bolt Diameter

Can the Height of Nut given Strength of Bolt in Shear be negative?

No, the Height of Nut given Strength of Bolt in Shear, measured in Length cannot be negative.

Which unit is used to measure Height of Nut given Strength of Bolt in Shear?

Height of Nut given Strength of 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 Height of Nut given Strength of Bolt in Shear can be measured.

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Height of Nut given Strength of Bolt in Shear Formula

​GoHeight of Nut given Shear Area of Nut Formula

​GoHeight of Standard Nut Formula

Height of Nut given Strength of Bolt in Shear Example

Height of Nut given Strength of Bolt in Shear Solution

Height of Nut given Strength of Bolt in Shear Formula Elements

Other Formulas to find Height of Nut

Other formulas in Nut Dimensions category

How to Evaluate Height of Nut given Strength of Bolt in Shear?

FAQs on Height of Nut given Strength of Bolt in Shear

Variable Name

GoHeight of Nut given Shear Area of Nut Formula

GoHeight of Standard Nut Formula