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Axial Load on Screw given Transverse Shear Stress Formula

GoAxial Load on Screw given Direct Compressive Stress Formula

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

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

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

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

Axial Load on Screw given Transverse Shear Stress Example

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

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

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

131102.4313 = (27.6 \cdot 3.1416 \cdot 42 \cdot 4 \cdot 9)

131102.4313N = (27.6N/mm² \cdot 3.1416 \cdot 42mm \cdot 4mm \cdot 9)

131102.4313 = (27.6 \cdot 3.1416 \cdot 42 \cdot 4 \cdot 9)

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Axial Load on Screw given Transverse Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W a = (27.6N/mm² \cdot π \cdot 42mm \cdot 4mm \cdot 9)

Next Step Substitute values of Constants

∴

W a = (27.6N/mm² \cdot 3.1416 \cdot 42mm \cdot 4mm \cdot 9)

Next Step Convert Units

∴

W a = (2.8E+7Pa \cdot 3.1416 \cdot 0.042m \cdot 0.004m \cdot 9)

Next Step Prepare to Evaluate

∴

W a = (2.8E+7 \cdot 3.1416 \cdot 0.042 \cdot 0.004 \cdot 9)

Next Step Evaluate

∴

W a = 131102.431345486N

LAST Step Rounding Answer

∴

W a = 131102.4313N

Axial Load on Screw given Transverse Shear Stress 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 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

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

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 at Root of Nut

W a = π \cdot t n \cdot t \cdot d \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?

Axial Load on Screw given Transverse Shear Stress evaluator uses Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads) to evaluate the Axial load on screw, Axial Load on Screw given Transverse Shear Stress 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 using this online evaluator? To use this online evaluator for Axial Load on Screw given Transverse Shear Stress, enter Transverse Shear Stress in Screw (τ_s), Core diameter of screw (d_c), Thread Thickness (t) & Number of Engaged Threads (z) and hit the calculate button.

FAQs on Axial Load on Screw given Transverse Shear Stress

What is the formula to find Axial Load on Screw given Transverse Shear Stress?

The formula of Axial Load on Screw given Transverse Shear Stress is expressed as Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads). Here is an example- 131102.4 = (27600000*pi*0.042*0.004*9).

How to calculate Axial Load on Screw given Transverse Shear Stress?

With Transverse Shear Stress in Screw (τ_s), Core diameter of screw (d_c), Thread Thickness (t) & Number of Engaged Threads (z) we can find Axial Load on Screw given Transverse Shear Stress using the formula - Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*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=pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*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 be negative?

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

Which unit is used to measure Axial Load on Screw given Transverse Shear Stress?

Axial Load on Screw given Transverse Shear Stress 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 can be measured.

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Axial Load on Screw given Transverse Shear Stress Formula

​GoAxial Load on Screw given Direct Compressive Stress Formula

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

Axial Load on Screw given Transverse Shear Stress Example

Axial Load on Screw given Transverse Shear Stress Solution

Axial Load on Screw given Transverse Shear Stress 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?

FAQs on Axial Load on Screw given Transverse Shear Stress

Variable Name

GoAxial Load on Screw given Direct Compressive Stress Formula

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