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Core Diameter of Screw given Unit Bearing Pressure Formula

GoCore Diameter of Power Screw Formula

GoCore Diameter of Screw given Direct Compressive Stress Formula

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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. Check FAQs

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

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

Core Diameter of Screw given Unit Bearing Pressure Example

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

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

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

41.9012 = \sqrt{{(50)}^{2} - (4 \cdot \frac{131000}{24.9 \cdot 3.1416 \cdot 9})}

41.9012mm = \sqrt{{(50mm)}^{2} - (4 \cdot \frac{131000N}{24.9N/mm² \cdot 3.1416 \cdot 9})}

41.9012 = \sqrt{{(50)}^{2} - (4 \cdot \frac{131000}{24.9 \cdot 3.1416 \cdot 9})}

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Core Diameter of Screw given Unit Bearing Pressure Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = \sqrt{{(50mm)}^{2} - (4 \cdot \frac{131000N}{24.9N/mm² \cdot π \cdot 9})}

Next Step Substitute values of Constants

∴

d c = \sqrt{{(50mm)}^{2} - (4 \cdot \frac{131000N}{24.9N/mm² \cdot 3.1416 \cdot 9})}

Next Step Convert Units

∴

d c = \sqrt{{(0.05m)}^{2} - (4 \cdot \frac{131000N}{2.5E+7Pa \cdot 3.1416 \cdot 9})}

Next Step Prepare to Evaluate

∴

d c = \sqrt{{(0.05)}^{2} - (4 \cdot \frac{131000}{2.5E+7 \cdot 3.1416 \cdot 9})}

Next Step Evaluate

∴

d c = 0.0419012470082511m

Next Step Convert to Output's Unit

∴

d c = 41.9012470082511mm

LAST Step Rounding Answer

∴

d c = 41.9012mm

Core Diameter of Screw given Unit Bearing Pressure Formula Elements

Variables

Constants

Functions

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

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

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 Core diameter of screw

Go Core Diameter of Power Screw

d c = d - p

Go Core Diameter of Screw given Direct Compressive Stress

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

Go Core Diameter of Screw given Torsional Shear Stress

d c = {(16 \cdot \frac{Mt t}{π \cdot τ})}^{\frac{1}{3}}

Go Core Diameter of Screw given Transverse Shear Stress in Screw

d c = \frac{W a}{τ s \cdot π \cdot t \cdot z}

Other formulas in Design of Screw and Nut category

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

Go Nominal Diameter of Power Screw given Mean Diameter

d = d m + (0.5 \cdot p)

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

Core Diameter of Screw given Unit Bearing Pressure evaluator uses Core diameter of screw = sqrt((Nominal diameter of screw)^2-(4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))) to evaluate the Core diameter of screw, Core Diameter of Screw given Unit Bearing Pressure 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. Core diameter of screw is denoted by d_c symbol.

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

FAQs on Core Diameter of Screw given Unit Bearing Pressure

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

The formula of Core Diameter of Screw given Unit Bearing Pressure is expressed as Core diameter of screw = sqrt((Nominal diameter of screw)^2-(4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))). Here is an example- 41901.25 = sqrt((0.05)^2-(4*131000/(24900000*pi*9))).

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

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

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

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

Core diameter of screw=Nominal diameter of screw-Pitch of power screw thread
Core diameter of screw=sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))
Core diameter of screw=(16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)

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

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

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

Core 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 Core Diameter of Screw given Unit Bearing Pressure can be measured.

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Core Diameter of Screw given Unit Bearing Pressure Formula

​GoCore Diameter of Power Screw Formula

​GoCore Diameter of Screw given Direct Compressive Stress Formula

Core Diameter of Screw given Unit Bearing Pressure Example

Core Diameter of Screw given Unit Bearing Pressure Solution

Core Diameter of Screw given Unit Bearing Pressure Formula Elements

Other Formulas to find Core diameter of screw

Other formulas in Design of Screw and Nut category

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

FAQs on Core Diameter of Screw given Unit Bearing Pressure

Variable Name

GoCore Diameter of Power Screw Formula

GoCore Diameter of Screw given Direct Compressive Stress Formula