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Unit Bearing Pressure for Thread Formula

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

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

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

Unit Bearing Pressure for Thread Example

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Here is how the Unit Bearing Pressure for Thread equation looks like with Values.

Here is how the Unit Bearing Pressure for Thread equation looks like with Units.

Here is how the Unit Bearing Pressure for Thread equation looks like.

25.1803 = 4 \cdot \frac{131000}{3.1416 \cdot 9 \cdot ((50^{2}) - (42^{2}))}

25.1803N/mm² = 4 \cdot \frac{131000N}{3.1416 \cdot 9 \cdot (({50mm}^{2}) - ({42mm}^{2}))}

25.1803 = 4 \cdot \frac{131000}{3.1416 \cdot 9 \cdot ((50^{2}) - (42^{2}))}

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Unit Bearing Pressure for Thread Solution

Follow our step by step solution on how to calculate Unit Bearing Pressure for Thread?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S b = 4 \cdot \frac{131000N}{π \cdot 9 \cdot (({50mm}^{2}) - ({42mm}^{2}))}

Next Step Substitute values of Constants

∴

S b = 4 \cdot \frac{131000N}{3.1416 \cdot 9 \cdot (({50mm}^{2}) - ({42mm}^{2}))}

Next Step Convert Units

∴

S b = 4 \cdot \frac{131000N}{3.1416 \cdot 9 \cdot (({0.05m}^{2}) - ({0.042m}^{2}))}

Next Step Prepare to Evaluate

∴

S b = 4 \cdot \frac{131000}{3.1416 \cdot 9 \cdot (({0.05}^{2}) - ({0.042}^{2}))}

Next Step Evaluate

∴

S b = 25180311.0447322Pa

Next Step Convert to Output's Unit

∴

S b = 25.1803110447322N/mm²

LAST Step Rounding Answer

∴

S b = 25.1803N/mm²

Unit Bearing Pressure for Thread Formula Elements

Variables

Constants

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

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

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 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 Unit Bearing Pressure for Thread?

Unit Bearing Pressure for Thread evaluator uses Unit bearing pressure for nut = 4*Axial load on screw/(pi*Number of Engaged Threads*((Nominal diameter of screw^2)-(Core diameter of screw^2))) to evaluate the Unit bearing pressure for nut, The Unit Bearing Pressure for Thread is the average pressure per thread acting on the contacting surface of the thread in a Screw-Nut pair. It is an important consideration for design applications. Unit bearing pressure for nut is denoted by S_b symbol.

How to evaluate Unit Bearing Pressure for Thread using this online evaluator? To use this online evaluator for Unit Bearing Pressure for Thread, enter Axial load on screw (W_a), Number of Engaged Threads (z), Nominal diameter of screw (d) & Core diameter of screw (d_c) and hit the calculate button.

FAQs on Unit Bearing Pressure for Thread

What is the formula to find Unit Bearing Pressure for Thread?

The formula of Unit Bearing Pressure for Thread is expressed as Unit bearing pressure for nut = 4*Axial load on screw/(pi*Number of Engaged Threads*((Nominal diameter of screw^2)-(Core diameter of screw^2))). Here is an example- 2.5E-5 = 4*131000/(pi*9*(0.05^2-0.042^2)).

How to calculate Unit Bearing Pressure for Thread?

With Axial load on screw (W_a), Number of Engaged Threads (z), Nominal diameter of screw (d) & Core diameter of screw (d_c) we can find Unit Bearing Pressure for Thread using the formula - Unit bearing pressure for nut = 4*Axial load on screw/(pi*Number of Engaged Threads*((Nominal diameter of screw^2)-(Core diameter of screw^2))). This formula also uses Archimedes' constant .

Can the Unit Bearing Pressure for Thread be negative?

No, the Unit Bearing Pressure for Thread, measured in Pressure cannot be negative.

Which unit is used to measure Unit Bearing Pressure for Thread?

Unit Bearing Pressure for Thread is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Unit Bearing Pressure for Thread can be measured.

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Unit Bearing Pressure for Thread Formula

Unit Bearing Pressure for Thread Example

Unit Bearing Pressure for Thread Solution

Unit Bearing Pressure for Thread Formula Elements

Other formulas in Design of Screw and Nut category

How to Evaluate Unit Bearing Pressure for Thread?

FAQs on Unit Bearing Pressure for Thread

Variable Name