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

GoNumber of Threads in Engagement with Nut given Transverse Shear Stress at Root of Nut 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 t \cdot τ s \cdot d c}

z - Number of Engaged Threads?W_a - Axial load on screw?t - Thread Thickness?τ_s - Transverse Shear Stress in Screw?d_c - Core diameter of screw?π - Archimedes' constant?

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

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

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

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

8.993 = \frac{131000}{3.1416 \cdot 4 \cdot 27.6 \cdot 42}

8.993 = \frac{131000N}{3.1416 \cdot 4mm \cdot 27.6N/mm² \cdot 42mm}

8.993 = \frac{131000}{3.1416 \cdot 4 \cdot 27.6 \cdot 42}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

z = \frac{131000N}{π \cdot 4mm \cdot 27.6N/mm² \cdot 42mm}

Next Step Substitute values of Constants

∴

z = \frac{131000N}{3.1416 \cdot 4mm \cdot 27.6N/mm² \cdot 42mm}

Next Step Convert Units

∴

z = \frac{131000N}{3.1416 \cdot 0.004m \cdot 2.8E+7Pa \cdot 0.042m}

Next Step Prepare to Evaluate

∴

z = \frac{131000}{3.1416 \cdot 0.004 \cdot 2.8E+7 \cdot 0.042}

Next Step Evaluate

∴

z = 8.99296823026151

LAST Step Rounding Answer

∴

z = 8.993

Number of Threads in Engagement with Nut given Transverse Shear Stress 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

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

Transverse Shear Stress in Screw

Transverse Shear Stress in Screw is the resistance force developed per unit cross-sectional area by the screw to avoid transverse deformation.

Symbol: τ_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Transverse Shear Stress in Screw

Core diameter of screw

Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core diameter of screw

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 at Root of Nut

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

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?

Number of Threads in Engagement with Nut given Transverse Shear Stress evaluator uses Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw) to evaluate the Number of Engaged Threads, The Number of Threads in Engagement with Nut given Transverse Shear Stress, is the count of threads that lie between the Length of Thread Engagement of the Nut. Number of Engaged Threads is denoted by z symbol.

How to evaluate Number of Threads in Engagement with Nut given Transverse Shear Stress using this online evaluator? To use this online evaluator for Number of Threads in Engagement with Nut given Transverse Shear Stress, enter Axial load on screw (W_a), Thread Thickness (t), Transverse Shear Stress in Screw (τ_s) & Core diameter of screw (d_c) and hit the calculate button.

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

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

The formula of Number of Threads in Engagement with Nut given Transverse Shear Stress is expressed as Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw). Here is an example- 8.992968 = 131000/(pi*0.004*27600000*0.042).

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

With Axial load on screw (W_a), Thread Thickness (t), Transverse Shear Stress in Screw (τ_s) & Core diameter of screw (d_c) we can find Number of Threads in Engagement with Nut given Transverse Shear Stress using the formula - Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw). 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*Nominal diameter of screw*Transverse shear stress in nut*Thread Thickness)
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 Formula

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

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

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

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

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

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

Variable Name

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

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