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Axial Load on Screw given Direct Compressive Stress Formula

GoAxial Load on Screw given Transverse Shear 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 = \frac{σ c \cdot π \cdot {d c}^{2}}{4}

W_a - Axial load on screw?σ_c - Compressive stress in screw?d_c - Core diameter of screw?π - Archimedes' constant?

Axial Load on Screw given Direct Compressive Stress Example

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

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

Here is how the Axial Load on Screw given Direct Compressive Stress equation looks like.

130231.5819 = \frac{94 \cdot 3.1416 \cdot 42^{2}}{4}

130231.5819N = \frac{94N/mm² \cdot 3.1416 \cdot {42mm}^{2}}{4}

130231.5819 = \frac{94 \cdot 3.1416 \cdot 42^{2}}{4}

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Axial Load on Screw given Direct Compressive Stress Solution

Follow our step by step solution on how to calculate Axial Load on Screw given Direct Compressive Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W a = \frac{94N/mm² \cdot π \cdot {42mm}^{2}}{4}

Next Step Substitute values of Constants

∴

W a = \frac{94N/mm² \cdot 3.1416 \cdot {42mm}^{2}}{4}

Next Step Convert Units

∴

W a = \frac{9.4E+7Pa \cdot 3.1416 \cdot {0.042m}^{2}}{4}

Next Step Prepare to Evaluate

∴

W a = \frac{9.4E+7 \cdot 3.1416 \cdot {0.042}^{2}}{4}

Next Step Evaluate

∴

W a = 130231.581861911N

LAST Step Rounding Answer

∴

W a = 130231.5819N

Axial Load on Screw given Direct Compressive 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

Compressive stress in screw

Compressive stress in screw is the force per unit area that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive 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 Axial load on screw

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 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 Direct Compressive Stress?

Axial Load on Screw given Direct Compressive Stress evaluator uses Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4 to evaluate the Axial load on screw, Axial Load on Screw given Direct Compressive 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 Direct Compressive Stress using this online evaluator? To use this online evaluator for Axial Load on Screw given Direct Compressive Stress, enter Compressive stress in screw (σ_c) & Core diameter of screw (d_c) and hit the calculate button.

FAQs on Axial Load on Screw given Direct Compressive Stress

What is the formula to find Axial Load on Screw given Direct Compressive Stress?

The formula of Axial Load on Screw given Direct Compressive Stress is expressed as Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4. Here is an example- 130231.6 = (94000000*pi*0.042^2)/4.

How to calculate Axial Load on Screw given Direct Compressive Stress?

With Compressive stress in screw (σ_c) & Core diameter of screw (d_c) we can find Axial Load on Screw given Direct Compressive Stress using the formula - Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4. 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=(Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)
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 Direct Compressive Stress be negative?

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

Which unit is used to measure Axial Load on Screw given Direct Compressive Stress?

Axial Load on Screw given Direct Compressive 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 Direct Compressive Stress can be measured.

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Axial Load on Screw given Direct Compressive Stress Formula

​GoAxial Load on Screw given Transverse Shear Stress Formula

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

Axial Load on Screw given Direct Compressive Stress Example

Axial Load on Screw given Direct Compressive Stress Solution

Axial Load on Screw given Direct Compressive 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 Direct Compressive Stress?

FAQs on Axial Load on Screw given Direct Compressive Stress

Variable Name

GoAxial Load on Screw given Transverse Shear Stress Formula

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