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Core Diameter of Screw given Direct Compressive Stress Formula

GoCore Diameter of Power Screw Formula

GoCore Diameter of Screw given Torsional Shear 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{\frac{4 \cdot W a}{π \cdot σ c}}

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

Core Diameter of Screw given Direct Compressive Stress Example

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Here is how the Core Diameter of Screw given Direct Compressive Stress equation looks like with Values.

Here is how the Core Diameter of Screw given Direct Compressive Stress equation looks like with Units.

Here is how the Core Diameter of Screw given Direct Compressive Stress equation looks like.

42.1237 = \sqrt{\frac{4 \cdot 131000}{3.1416 \cdot 94}}

42.1237mm = \sqrt{\frac{4 \cdot 131000N}{3.1416 \cdot 94N/mm²}}

42.1237 = \sqrt{\frac{4 \cdot 131000}{3.1416 \cdot 94}}

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Core Diameter of Screw given Direct Compressive Stress Solution

Follow our step by step solution on how to calculate Core Diameter of Screw given Direct Compressive Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = \sqrt{\frac{4 \cdot 131000N}{π \cdot 94N/mm²}}

Next Step Substitute values of Constants

∴

d c = \sqrt{\frac{4 \cdot 131000N}{3.1416 \cdot 94N/mm²}}

Next Step Convert Units

∴

d c = \sqrt{\frac{4 \cdot 131000N}{3.1416 \cdot 9.4E+7Pa}}

Next Step Prepare to Evaluate

∴

d c = \sqrt{\frac{4 \cdot 131000}{3.1416 \cdot 9.4E+7}}

Next Step Evaluate

∴

d c = 0.0421237261137401m

Next Step Convert to Output's Unit

∴

d c = 42.1237261137401mm

LAST Step Rounding Answer

∴

d c = 42.1237mm

Core Diameter of Screw given Direct Compressive Stress 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

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

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 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}

Go Core Diameter of Screw given Unit Bearing Pressure

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

Core Diameter of Screw given Direct Compressive Stress evaluator uses Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw)) to evaluate the Core diameter of screw, Core Diameter of Screw given Direct Compressive Stress is a way of calculating the Core (or Root) Diameter of a screw of selected material, that can function against the working load without failure. It 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 Direct Compressive Stress using this online evaluator? To use this online evaluator for Core Diameter of Screw given Direct Compressive Stress, enter Axial load on screw (W_a) & Compressive stress in screw (σ_c) and hit the calculate button.

FAQs on Core Diameter of Screw given Direct Compressive Stress

What is the formula to find Core Diameter of Screw given Direct Compressive Stress?

The formula of Core Diameter of Screw given Direct Compressive Stress is expressed as Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw)). Here is an example- 42123.73 = sqrt((4*131000)/(pi*94000000)).

How to calculate Core Diameter of Screw given Direct Compressive Stress?

With Axial load on screw (W_a) & Compressive stress in screw (σ_c) we can find Core Diameter of Screw given Direct Compressive Stress using the formula - Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw)). 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=(16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)
Core diameter of screw=Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)

Can the Core Diameter of Screw given Direct Compressive Stress be negative?

No, the Core Diameter of Screw given Direct Compressive Stress, measured in Length cannot be negative.

Which unit is used to measure Core Diameter of Screw given Direct Compressive Stress?

Core Diameter of Screw given Direct Compressive Stress 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 Direct Compressive Stress can be measured.

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Core Diameter of Screw given Direct Compressive Stress Formula

​GoCore Diameter of Power Screw Formula

​GoCore Diameter of Screw given Torsional Shear Stress Formula

Core Diameter of Screw given Direct Compressive Stress Example

Core Diameter of Screw given Direct Compressive Stress Solution

Core Diameter of Screw given Direct Compressive Stress 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 Direct Compressive Stress?

FAQs on Core Diameter of Screw given Direct Compressive Stress

Variable Name

GoCore Diameter of Power Screw Formula

GoCore Diameter of Screw given Torsional Shear Stress Formula