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Nominal Diameter of Screw given Unit Bearing Pressure Formula

GoNominal Diameter of Power Screw Formula

GoNominal Diameter of Power Screw given Mean Diameter Formula

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Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw. Check FAQs

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

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

Nominal Diameter of Screw given Unit Bearing Pressure Example

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Here is how the Nominal Diameter of Screw given Unit Bearing Pressure equation looks like with Values.

Here is how the Nominal Diameter of Screw given Unit Bearing Pressure equation looks like with Units.

Here is how the Nominal Diameter of Screw given Unit Bearing Pressure equation looks like.

50.0828 = \sqrt{(4 \cdot \frac{131000}{24.9 \cdot 3.1416 \cdot 9}) + {(42)}^{2}}

50.0828mm = \sqrt{(4 \cdot \frac{131000N}{24.9N/mm² \cdot 3.1416 \cdot 9}) + {(42mm)}^{2}}

50.0828 = \sqrt{(4 \cdot \frac{131000}{24.9 \cdot 3.1416 \cdot 9}) + {(42)}^{2}}

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Nominal Diameter of Screw given Unit Bearing Pressure Solution

Follow our step by step solution on how to calculate Nominal Diameter of Screw given Unit Bearing Pressure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{(4 \cdot \frac{131000N}{24.9N/mm² \cdot π \cdot 9}) + {(42mm)}^{2}}

Next Step Substitute values of Constants

∴

d = \sqrt{(4 \cdot \frac{131000N}{24.9N/mm² \cdot 3.1416 \cdot 9}) + {(42mm)}^{2}}

Next Step Convert Units

∴

d = \sqrt{(4 \cdot \frac{131000N}{2.5E+7Pa \cdot 3.1416 \cdot 9}) + {(0.042m)}^{2}}

Next Step Prepare to Evaluate

∴

d = \sqrt{(4 \cdot \frac{131000}{2.5E+7 \cdot 3.1416 \cdot 9}) + {(0.042)}^{2}}

Next Step Evaluate

∴

d = 0.0500827864555631m

Next Step Convert to Output's Unit

∴

d = 50.0827864555631mm

LAST Step Rounding Answer

∴

d = 50.0828mm

Nominal Diameter of Screw given Unit Bearing Pressure Formula Elements

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Nominal diameter of screw

Go Nominal Diameter of Power Screw

d = d c + p

Go Nominal Diameter of Power Screw given Mean Diameter

d = d m + (0.5 \cdot p)

Go Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

d = \frac{W a}{π \cdot t n \cdot t \cdot z}

Other formulas in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

Go Pitch of Screw given Mean Diameter

p = \frac{d - d m}{0.5}

How to Evaluate Nominal Diameter of Screw given Unit Bearing Pressure?

Nominal Diameter of Screw given Unit Bearing Pressure evaluator uses Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2) to evaluate the Nominal diameter of screw, Nominal Diameter of Screw given Unit Bearing Pressure is defined as the largest diameter of the screw .It is also called major diameter. Nominal diameter of screw is denoted by d symbol.

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

FAQs on Nominal Diameter of Screw given Unit Bearing Pressure

What is the formula to find Nominal Diameter of Screw given Unit Bearing Pressure?

The formula of Nominal Diameter of Screw given Unit Bearing Pressure is expressed as Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2). Here is an example- 50082.79 = sqrt((4*131000/(24900000*pi*9))+(0.042)^2).

How to calculate Nominal Diameter of Screw given Unit Bearing Pressure?

With Axial load on screw (W_a), Unit bearing pressure for nut (S_b), Number of Engaged Threads (z) & Core diameter of screw (d_c) we can find Nominal Diameter of Screw given Unit Bearing Pressure using the formula - Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Nominal diameter of screw?

Here are the different ways to Calculate Nominal diameter of screw-

Nominal diameter of screw=Core diameter of screw+Pitch of power screw thread
Nominal diameter of screw=Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)
Nominal diameter of screw=Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)

Can the Nominal Diameter of Screw given Unit Bearing Pressure be negative?

No, the Nominal Diameter of Screw given Unit Bearing Pressure, measured in Length cannot be negative.

Which unit is used to measure Nominal Diameter of Screw given Unit Bearing Pressure?

Nominal Diameter of Screw given Unit Bearing Pressure is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Nominal Diameter of Screw given Unit Bearing Pressure can be measured.

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Nominal Diameter of Screw given Unit Bearing Pressure Formula

​GoNominal Diameter of Power Screw Formula

​GoNominal Diameter of Power Screw given Mean Diameter Formula

Nominal Diameter of Screw given Unit Bearing Pressure Example

Nominal Diameter of Screw given Unit Bearing Pressure Solution

Nominal Diameter of Screw given Unit Bearing Pressure Formula Elements

Other Formulas to find Nominal diameter of screw

Other formulas in Design of Screw and Nut category

How to Evaluate Nominal Diameter of Screw given Unit Bearing Pressure?

FAQs on Nominal Diameter of Screw given Unit Bearing Pressure

Variable Name

GoNominal Diameter of Power Screw Formula

GoNominal Diameter of Power Screw given Mean Diameter Formula