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Axial Load on Screw given Transverse Shear Stress at Root of Nut Formula

GoAxial Load on Screw given Direct Compressive Stress Formula

GoAxial Load on Screw given Transverse Shear Stress Formula

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

W a = π \cdot t n \cdot t \cdot d \cdot z

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

Axial Load on Screw given Transverse Shear Stress at Root of Nut Example

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Here is how the Axial Load on Screw given Transverse Shear Stress at Root of Nut equation looks like with Values.

Here is how the Axial Load on Screw given Transverse Shear Stress at Root of Nut equation looks like with Units.

Here is how the Axial Load on Screw given Transverse Shear Stress at Root of Nut equation looks like.

131758.3959 = 3.1416 \cdot 23.3 \cdot 4 \cdot 50 \cdot 9

131758.3959N = 3.1416 \cdot 23.3N/mm² \cdot 4mm \cdot 50mm \cdot 9

131758.3959 = 3.1416 \cdot 23.3 \cdot 4 \cdot 50 \cdot 9

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Axial Load on Screw given Transverse Shear Stress at Root of Nut Solution

Follow our step by step solution on how to calculate Axial Load on Screw given Transverse Shear Stress at Root of Nut?

FIRST Step Consider the formula

W a = π \cdot t n \cdot t \cdot d \cdot z

Next Step Substitute values of Variables

∴

W a = π \cdot 23.3N/mm² \cdot 4mm \cdot 50mm \cdot 9

Next Step Substitute values of Constants

∴

W a = 3.1416 \cdot 23.3N/mm² \cdot 4mm \cdot 50mm \cdot 9

Next Step Convert Units

∴

W a = 3.1416 \cdot 2.3E+7Pa \cdot 0.004m \cdot 0.05m \cdot 9

Next Step Prepare to Evaluate

∴

W a = 3.1416 \cdot 2.3E+7 \cdot 0.004 \cdot 0.05 \cdot 9

Next Step Evaluate

∴

W a = 131758.395891556N

LAST Step Rounding Answer

∴

W a = 131758.3959N

Axial Load on Screw given Transverse Shear Stress at Root of Nut Formula Elements

Variables

Constants

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

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

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

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

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 Axial load on screw

Go Axial Load on Screw given Direct Compressive Stress

W a = \frac{σ c \cdot π \cdot {d c}^{2}}{4}

Go Axial Load on Screw given Transverse Shear Stress

W a = (τ s \cdot π \cdot d c \cdot t \cdot z)

Go Axial Load on Screw given Unit Bearing Pressure

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

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 Axial Load on Screw given Transverse Shear Stress at Root of Nut?

Axial Load on Screw given Transverse Shear Stress at Root of Nut evaluator uses Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads to evaluate the Axial load on screw, Axial Load on Screw given Transverse Shear Stress at Root of Nut is defined as any interaction that, when unopposed, will change the motion of a screw. It is a method to determine the maximum Axial Load a single engaged thread of Screw-Nut pair can support without failure. Axial load on screw is denoted by W_a symbol.

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

FAQs on Axial Load on Screw given Transverse Shear Stress at Root of Nut

What is the formula to find Axial Load on Screw given Transverse Shear Stress at Root of Nut?

The formula of Axial Load on Screw given Transverse Shear Stress at Root of Nut is expressed as Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads. Here is an example- 131758.4 = pi*23300000*0.004*0.05*9.

How to calculate Axial Load on Screw given Transverse Shear Stress at Root of Nut?

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

What are the other ways to Calculate Axial load on screw?

Here are the different ways to Calculate Axial load on screw-

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

Can the Axial Load on Screw given Transverse Shear Stress at Root of Nut be negative?

No, the Axial Load on Screw given Transverse Shear Stress at Root of Nut, measured in Force cannot be negative.

Which unit is used to measure Axial Load on Screw given Transverse Shear Stress at Root of Nut?

Axial Load on Screw given Transverse Shear Stress at Root of Nut is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Axial Load on Screw given Transverse Shear Stress at Root of Nut can be measured.

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Axial Load on Screw given Transverse Shear Stress at Root of Nut Formula

​GoAxial Load on Screw given Direct Compressive Stress Formula

​GoAxial Load on Screw given Transverse Shear Stress Formula

Axial Load on Screw given Transverse Shear Stress at Root of Nut Example

Axial Load on Screw given Transverse Shear Stress at Root of Nut Solution

Axial Load on Screw given Transverse Shear Stress at Root of Nut Formula Elements

Other Formulas to find Axial load on screw

Other formulas in Design of Screw and Nut category

How to Evaluate Axial Load on Screw given Transverse Shear Stress at Root of Nut?

FAQs on Axial Load on Screw given Transverse Shear Stress at Root of Nut

Variable Name

GoAxial Load on Screw given Direct Compressive Stress Formula

GoAxial Load on Screw given Transverse Shear Stress Formula