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Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Formula

GoNumber of Threads in Engagement with Nut given Transverse Shear Stress Formula

GoNumber of Threads in Engagement with Nut given Unit Bearing Pressure Formula

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A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut. Check FAQs

z = \frac{W a}{π \cdot d \cdot t n \cdot t}

z - Number of Engaged Threads?W_a - Axial load on screw?d - Nominal diameter of screw?t_n - Transverse shear stress in nut?t - Thread Thickness?π - Archimedes' constant?

Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Example

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Here is how the Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut equation looks like with Values.

Here is how the Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut equation looks like with Units.

Here is how the Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut equation looks like.

8.9482 = \frac{131000}{3.1416 \cdot 50 \cdot 23.3 \cdot 4}

8.9482 = \frac{131000N}{3.1416 \cdot 50mm \cdot 23.3N/mm² \cdot 4mm}

8.9482 = \frac{131000}{3.1416 \cdot 50 \cdot 23.3 \cdot 4}

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Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Solution

Follow our step by step solution on how to calculate Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut?

FIRST Step Consider the formula

z = \frac{W a}{π \cdot d \cdot t n \cdot t}

Next Step Substitute values of Variables

∴

z = \frac{131000N}{π \cdot 50mm \cdot 23.3N/mm² \cdot 4mm}

Next Step Substitute values of Constants

∴

z = \frac{131000N}{3.1416 \cdot 50mm \cdot 23.3N/mm² \cdot 4mm}

Next Step Convert Units

∴

z = \frac{131000N}{3.1416 \cdot 0.05m \cdot 2.3E+7Pa \cdot 0.004m}

Next Step Prepare to Evaluate

∴

z = \frac{131000}{3.1416 \cdot 0.05 \cdot 2.3E+7 \cdot 0.004}

Next Step Evaluate

∴

z = 8.94819637126107

LAST Step Rounding Answer

∴

z = 8.9482

Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Formula Elements

Variables

Constants

Number of Engaged Threads

A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Engaged Threads

Axial load on screw

Axial load on screw is the instantaneous load applied to the screw along its axis.

Symbol: W_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial load on screw

Nominal diameter of screw

Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal diameter of screw

Transverse shear stress in nut

Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation.

Symbol: t_n

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Transverse shear stress in nut

Thread Thickness

Thread Thickness is defined as the thickness of a single thread.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thread Thickness

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 Number of Engaged Threads

Go Number of Threads in Engagement with Nut given Transverse Shear Stress

z = \frac{W a}{π \cdot t \cdot τ s \cdot d c}

Go Number of Threads in Engagement with Nut given Unit Bearing Pressure

z = 4 \cdot \frac{W a}{(π \cdot S b \cdot ((d^{2}) - ({d c}^{2})))}

Other formulas in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Nominal Diameter of Power Screw

d = d c + p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

How to Evaluate Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut?

Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut evaluator uses Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness) to evaluate the Number of Engaged Threads, The Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut, is a way to determine the minimum number of Threads of Nut required to be in engagement with the Screw, in order to support the applied load. Number of Engaged Threads is denoted by z symbol.

How to evaluate Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut using this online evaluator? To use this online evaluator for Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut, enter Axial load on screw (W_a), Nominal diameter of screw (d), Transverse shear stress in nut (t_n) & Thread Thickness (t) and hit the calculate button.

FAQs on Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut

What is the formula to find Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut?

The formula of Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut is expressed as Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness). Here is an example- 8.948196 = 131000/(pi*0.05*23300000*0.004).

How to calculate Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut?

With Axial load on screw (W_a), Nominal diameter of screw (d), Transverse shear stress in nut (t_n) & Thread Thickness (t) we can find Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut using the formula - Number of Engaged Threads = Axial load on screw/(pi*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness). This formula also uses Archimedes' constant .

What are the other ways to Calculate Number of Engaged Threads?

Here are the different ways to Calculate Number of Engaged Threads-

Number of Engaged Threads=Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)
Number of Engaged Threads=4*Axial load on screw/((pi*Unit bearing pressure for nut*((Nominal diameter of screw^2)-(Core diameter of screw^2))))

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Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Formula

​GoNumber of Threads in Engagement with Nut given Transverse Shear Stress Formula

​GoNumber of Threads in Engagement with Nut given Unit Bearing Pressure Formula

Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Example

Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Solution

Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut Formula Elements

Other Formulas to find Number of Engaged Threads

Other formulas in Design of Screw and Nut category

How to Evaluate Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut?

FAQs on Number of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut

Variable Name

GoNumber of Threads in Engagement with Nut given Transverse Shear Stress Formula

GoNumber of Threads in Engagement with Nut given Unit Bearing Pressure Formula