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Core Diameter of Screw given Transverse Shear Stress in Screw 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 = \frac{W a}{τ s \cdot π \cdot t \cdot z}

d_c - Core diameter of screw?W_a - Axial load on screw?τ_s - Transverse Shear Stress in Screw?t - Thread Thickness?z - Number of Engaged Threads?π - Archimedes' constant?

Core Diameter of Screw given Transverse Shear Stress in Screw Example

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

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

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

41.9672 = \frac{131000}{27.6 \cdot 3.1416 \cdot 4 \cdot 9}

41.9672mm = \frac{131000N}{27.6N/mm² \cdot 3.1416 \cdot 4mm \cdot 9}

41.9672 = \frac{131000}{27.6 \cdot 3.1416 \cdot 4 \cdot 9}

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Core Diameter of Screw given Transverse Shear Stress in Screw Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = \frac{131000N}{27.6N/mm² \cdot π \cdot 4mm \cdot 9}

Next Step Substitute values of Constants

∴

d c = \frac{131000N}{27.6N/mm² \cdot 3.1416 \cdot 4mm \cdot 9}

Next Step Convert Units

∴

d c = \frac{131000N}{2.8E+7Pa \cdot 3.1416 \cdot 0.004m \cdot 9}

Next Step Prepare to Evaluate

∴

d c = \frac{131000}{2.8E+7 \cdot 3.1416 \cdot 0.004 \cdot 9}

Next Step Evaluate

∴

d c = 0.0419671850745537m

Next Step Convert to Output's Unit

∴

d c = 41.9671850745537mm

LAST Step Rounding Answer

∴

d c = 41.9672mm

Core Diameter of Screw given Transverse Shear Stress in Screw 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

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

Transverse Shear Stress in Screw

Transverse Shear Stress in Screw is the resistance force developed per unit cross-sectional area by the screw to avoid transverse deformation.

Symbol: τ_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Transverse Shear Stress in Screw

Thread Thickness

Thread Thickness is defined as the thickness of a single thread.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thread Thickness

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

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 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 Transverse Shear Stress in Screw?

Core Diameter of Screw given Transverse Shear Stress in Screw evaluator uses Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads) to evaluate the Core diameter of screw, Core Diameter of Screw given Transverse Shear Stress in 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. Core diameter of screw is denoted by d_c symbol.

How to evaluate Core Diameter of Screw given Transverse Shear Stress in Screw using this online evaluator? To use this online evaluator for Core Diameter of Screw given Transverse Shear Stress in Screw, enter Axial load on screw (W_a), Transverse Shear Stress in Screw (τ_s), Thread Thickness (t) & Number of Engaged Threads (z) and hit the calculate button.

FAQs on Core Diameter of Screw given Transverse Shear Stress in Screw

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

The formula of Core Diameter of Screw given Transverse Shear Stress in Screw is expressed as Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads). Here is an example- 41967.19 = 131000/(27600000*pi*0.004*9).

How to calculate Core Diameter of Screw given Transverse Shear Stress in Screw?

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

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

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

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

Core Diameter of Screw given Transverse Shear Stress in Screw 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 Transverse Shear Stress in Screw can be measured.

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Core Diameter of Screw given Transverse Shear Stress in Screw Formula

​GoCore Diameter of Power Screw Formula

​GoCore Diameter of Screw given Direct Compressive Stress Formula

Core Diameter of Screw given Transverse Shear Stress in Screw Example

Core Diameter of Screw given Transverse Shear Stress in Screw Solution

Core Diameter of Screw given Transverse Shear Stress in Screw 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 Transverse Shear Stress in Screw?

FAQs on Core Diameter of Screw given Transverse Shear Stress in Screw

Variable Name

GoCore Diameter of Power Screw Formula

GoCore Diameter of Screw given Direct Compressive Stress Formula