FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Axial Load on Screw given Unit Bearing Pressure Formula

GoAxial Load on Screw given Direct Compressive Stress Formula

GoAxial Load on Screw given Transverse Shear Stress Formula

Fx Copy

LaTeX Copy

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

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

W_a - Axial load on screw?z - Number of Engaged Threads?S_b - Unit bearing pressure for nut?d - Nominal diameter of screw?d_c - Core diameter of screw?π - Archimedes' constant?

Axial Load on Screw given Unit Bearing Pressure Example

With values

With units

Only example

Here is how the Axial Load on Screw given Unit Bearing Pressure equation looks like with Values.

Here is how the Axial Load on Screw given Unit Bearing Pressure equation looks like with Units.

Here is how the Axial Load on Screw given Unit Bearing Pressure equation looks like.

129541.6881 = 3.1416 \cdot 9 \cdot 24.9 \cdot \frac{(50^{2}) - (42^{2})}{4}

129541.6881N = 3.1416 \cdot 9 \cdot 24.9N/mm² \cdot \frac{({50mm}^{2}) - ({42mm}^{2})}{4}

129541.6881 = 3.1416 \cdot 9 \cdot 24.9 \cdot \frac{(50^{2}) - (42^{2})}{4}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Axial Load on Screw given Unit Bearing Pressure

Axial Load on Screw given Unit Bearing Pressure Solution

Follow our step by step solution on how to calculate Axial Load on Screw given Unit Bearing Pressure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W a = π \cdot 9 \cdot 24.9N/mm² \cdot \frac{({50mm}^{2}) - ({42mm}^{2})}{4}

Next Step Substitute values of Constants

∴

W a = 3.1416 \cdot 9 \cdot 24.9N/mm² \cdot \frac{({50mm}^{2}) - ({42mm}^{2})}{4}

Next Step Convert Units

∴

W a = 3.1416 \cdot 9 \cdot 2.5E+7Pa \cdot \frac{({0.05m}^{2}) - ({0.042m}^{2})}{4}

Next Step Prepare to Evaluate

∴

W a = 3.1416 \cdot 9 \cdot 2.5E+7 \cdot \frac{({0.05}^{2}) - ({0.042}^{2})}{4}

Next Step Evaluate

∴

W a = 129541.688115183N

LAST Step Rounding Answer

∴

W a = 129541.6881N

Axial Load on Screw given Unit Bearing Pressure 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

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

Unit bearing pressure for nut

Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair.

Symbol: S_b

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Unit bearing pressure for nut

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

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 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 Transverse Shear Stress at Root of Nut

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

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 Unit Bearing Pressure?

Axial Load on Screw given Unit Bearing Pressure evaluator uses 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 to evaluate the Axial load on screw, Axial Load on Screw given Unit Bearing Pressure 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 Unit Bearing Pressure using this online evaluator? To use this online evaluator for Axial Load on Screw given Unit Bearing Pressure, enter Number of Engaged Threads (z), Unit bearing pressure for nut (S_b), Nominal diameter of screw (d) & Core diameter of screw (d_c) and hit the calculate button.

FAQs on Axial Load on Screw given Unit Bearing Pressure

What is the formula to find Axial Load on Screw given Unit Bearing Pressure?

The formula of Axial Load on Screw given Unit Bearing Pressure is expressed as 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. Here is an example- 129541.7 = pi*9*24900000*((0.05^2)-(0.042^2))/4.

How to calculate Axial Load on Screw given Unit Bearing Pressure?

With Number of Engaged Threads (z), Unit bearing pressure for nut (S_b), Nominal diameter of screw (d) & Core diameter of screw (d_c) we can find Axial Load on Screw given Unit Bearing Pressure using the formula - 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. 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*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads

Can the Axial Load on Screw given Unit Bearing Pressure be negative?

No, the Axial Load on Screw given Unit Bearing Pressure, measured in Force cannot be negative.

Which unit is used to measure Axial Load on Screw given Unit Bearing Pressure?

Axial Load on Screw given Unit Bearing Pressure 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 Unit Bearing Pressure can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Axial Load on Screw given Unit Bearing Pressure Formula

​GoAxial Load on Screw given Direct Compressive Stress Formula

​GoAxial Load on Screw given Transverse Shear Stress Formula

Axial Load on Screw given Unit Bearing Pressure Example

Axial Load on Screw given Unit Bearing Pressure Solution

Axial Load on Screw given Unit Bearing Pressure 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 Unit Bearing Pressure?

FAQs on Axial Load on Screw given Unit Bearing Pressure

Variable Name

GoAxial Load on Screw given Direct Compressive Stress Formula

GoAxial Load on Screw given Transverse Shear Stress Formula