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Core Diameter of Screw given Torsional Shear Stress 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 = {(16 \cdot \frac{Mt t}{π \cdot τ})}^{\frac{1}{3}}

d_c - Core diameter of screw?Mt_t - Torsional Moment on Screw?τ - Torsional shear stress in screw?π - Archimedes' constant?

Core Diameter of Screw given Torsional Shear Stress Example

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

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

Here is how the Core Diameter of Screw given Torsional Shear Stress equation looks like.

42.0001 = {(16 \cdot \frac{658700}{3.1416 \cdot 45.28})}^{\frac{1}{3}}

42.0001mm = {(16 \cdot \frac{658700N*mm}{3.1416 \cdot 45.28N/mm²})}^{\frac{1}{3}}

42.0001 = {(16 \cdot \frac{658700}{3.1416 \cdot 45.28})}^{\frac{1}{3}}

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Core Diameter of Screw given Torsional Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = {(16 \cdot \frac{658700N*mm}{π \cdot 45.28N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d c = {(16 \cdot \frac{658700N*mm}{3.1416 \cdot 45.28N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d c = {(16 \cdot \frac{658.7N*m}{3.1416 \cdot 4.5E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d c = {(16 \cdot \frac{658.7}{3.1416 \cdot 4.5E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

d c = 0.042000112311988m

Next Step Convert to Output's Unit

∴

d c = 42.000112311988mm

LAST Step Rounding Answer

∴

d c = 42.0001mm

Core Diameter of Screw given Torsional Shear Stress Formula Elements

Variables

Constants

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

Torsional Moment on Screw

Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.

Symbol: Mt_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment on Screw

Torsional shear stress in screw

Torsional shear stress in screw is the shear stress produced in the screw due to the twisting.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional shear 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

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 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 Torsional Shear Stress?

Core Diameter of Screw given Torsional Shear Stress evaluator uses Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3) to evaluate the Core diameter of screw, Core Diameter of Screw given Torsional Shear 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 Torsional Shear Stress using this online evaluator? To use this online evaluator for Core Diameter of Screw given Torsional Shear Stress, enter Torsional Moment on Screw (Mt_t) & Torsional shear stress in screw (τ) and hit the calculate button.

FAQs on Core Diameter of Screw given Torsional Shear Stress

What is the formula to find Core Diameter of Screw given Torsional Shear Stress?

The formula of Core Diameter of Screw given Torsional Shear Stress is expressed as Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3). Here is an example- 42000.11 = (16*658.7/(pi*45280000))^(1/3).

How to calculate Core Diameter of Screw given Torsional Shear Stress?

With Torsional Moment on Screw (Mt_t) & Torsional shear stress in screw (τ) we can find Core Diameter of Screw given Torsional Shear Stress using the formula - Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3). This formula also uses Archimedes' constant .

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=Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)

Can the Core Diameter of Screw given Torsional Shear Stress be negative?

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

Which unit is used to measure Core Diameter of Screw given Torsional Shear Stress?

Core Diameter of Screw given Torsional Shear 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 Torsional Shear Stress can be measured.

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Core Diameter of Screw given Torsional Shear Stress Formula

​GoCore Diameter of Power Screw Formula

​GoCore Diameter of Screw given Direct Compressive Stress Formula

Core Diameter of Screw given Torsional Shear Stress Example

Core Diameter of Screw given Torsional Shear Stress Solution

Core Diameter of Screw given Torsional Shear 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 Torsional Shear Stress?

FAQs on Core Diameter of Screw given Torsional Shear Stress

Variable Name

GoCore Diameter of Power Screw Formula

GoCore Diameter of Screw given Direct Compressive Stress Formula